0.02/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.10/0.29 % Computer : n012.cluster.edu 0.10/0.29 % Model : x86_64 x86_64 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.29 % Memory : 8042.1875MB 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.29 % CPULimit : 960 0.10/0.29 % WCLimit : 120 0.10/0.29 % DateTime : Tue Aug 9 05:40:29 EDT 2022 0.10/0.29 % CPUTime : 0.14/0.33 % (16502)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/15Mi) 0.14/0.33 % (16503)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/24Mi) 0.14/0.34 % (16502)Instruction limit reached! 0.14/0.34 % (16502)------------------------------ 0.14/0.34 % (16502)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.34 % (16502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.34 % (16502)Termination reason: Unknown 0.14/0.34 % (16502)Termination phase: Saturation 0.14/0.34 0.14/0.34 % (16502)Memory used [KB]: 5628 0.14/0.34 % (16502)Time elapsed: 0.008 s 0.14/0.34 % (16502)Instructions burned: 15 (million) 0.14/0.34 % (16502)------------------------------ 0.14/0.34 % (16502)------------------------------ 0.14/0.34 % (16499)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/41Mi) 0.14/0.34 % (16504)ott+0_1:1_av=off:bce=on:bsr=unit_only:ep=R:sos=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.14/0.34 % (16503)Instruction limit reached! 0.14/0.34 % (16503)------------------------------ 0.14/0.34 % (16503)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.34 % (16503)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.34 % (16503)Termination reason: Unknown 0.14/0.34 % (16503)Termination phase: Saturation 0.14/0.34 0.14/0.34 % (16503)Memory used [KB]: 6012 0.14/0.34 % (16503)Time elapsed: 0.012 s 0.14/0.34 % (16504)Instruction limit reached! 0.14/0.34 % (16504)------------------------------ 0.14/0.34 % (16504)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.34 % (16504)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.34 % (16504)Termination reason: Unknown 0.14/0.34 % (16504)Termination phase: Blocked clause elimination 0.14/0.34 0.14/0.34 % (16504)Memory used [KB]: 1023 0.14/0.34 % (16504)Time elapsed: 0.003 s 0.14/0.34 % (16504)Instructions burned: 4 (million) 0.14/0.34 % (16504)------------------------------ 0.14/0.34 % (16504)------------------------------ 0.14/0.34 % (16503)Instructions burned: 25 (million) 0.14/0.34 % (16503)------------------------------ 0.14/0.34 % (16503)------------------------------ 0.14/0.34 % (16499)Refutation not found, incomplete strategy% (16499)------------------------------ 0.14/0.34 % (16499)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.34 % (16499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.34 % (16499)Termination reason: Refutation not found, incomplete strategy 0.14/0.34 0.14/0.34 % (16499)Memory used [KB]: 5628 0.14/0.34 % (16499)Time elapsed: 0.004 s 0.14/0.34 % (16499)Instructions burned: 5 (million) 0.14/0.34 % (16499)------------------------------ 0.14/0.34 % (16499)------------------------------ 0.14/0.34 % (16505)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/28Mi) 0.14/0.35 % (16498)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59608:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/59608Mi) 0.14/0.35 % (16500)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=9:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/9Mi) 0.14/0.35 % (16500)Instruction limit reached! 0.14/0.35 % (16500)------------------------------ 0.14/0.35 % (16500)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.35 % (16500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.35 % (16500)Termination reason: Unknown 0.14/0.35 % (16500)Termination phase: Saturation 0.14/0.35 0.14/0.35 % (16500)Memory used [KB]: 5628 0.14/0.35 % (16500)Time elapsed: 0.006 s 0.14/0.35 % (16500)Instructions burned: 10 (million) 0.14/0.35 % (16500)------------------------------ 0.14/0.35 % (16500)------------------------------ 0.14/0.35 % (16505)Instruction limit reached! 0.14/0.35 % (16505)------------------------------ 0.14/0.35 % (16505)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.36 % (16505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.36 % (16505)Termination reason: Unknown 0.14/0.36 % (16505)Termination phase: Saturation 0.14/0.36 0.14/0.36 % (16505)Memory used [KB]: 5756 0.14/0.36 % (16505)Time elapsed: 0.012 s 0.14/0.36 % (16505)Instructions burned: 29 (million) 0.14/0.36 % (16505)------------------------------ 0.14/0.36 % (16505)------------------------------ 0.14/0.36 % (16501)lrs+10_1:1_ep=R:newcnf=on:sd=2:ss=axioms:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.14/0.36 % (16501)Instruction limit reached! 0.14/0.36 % (16501)------------------------------ 0.14/0.36 % (16501)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.36 % (16501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.36 % (16501)Termination reason: Unknown 0.14/0.36 % (16501)Termination phase: Unused predicate definition removal 0.14/0.36 0.14/0.36 % (16501)Memory used [KB]: 895 0.14/0.36 % (16501)Time elapsed: 0.003 s 0.14/0.36 % (16501)Instructions burned: 2 (million) 0.14/0.36 % (16501)------------------------------ 0.14/0.36 % (16501)------------------------------ 0.14/0.37 % (16521)lrs+10_1:1_flr=on:nm=2:sos=on:spb=goal:ss=axioms:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/36Mi) 0.14/0.37 % (16521)Refutation not found, incomplete strategy% (16521)------------------------------ 0.14/0.37 % (16521)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.37 % (16521)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.37 % (16521)Termination reason: Refutation not found, incomplete strategy 0.14/0.37 0.14/0.37 % (16521)Memory used [KB]: 5500 0.14/0.37 % (16521)Time elapsed: 0.003 s 0.14/0.37 % (16521)Instructions burned: 4 (million) 0.14/0.37 % (16521)------------------------------ 0.14/0.37 % (16521)------------------------------ 0.14/0.37 % (16524)lrs+10_1:1_av=off:drc=off:newcnf=on:sd=1:sos=on:ss=axioms:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.14/0.37 % (16525)dis+1011_1:1_av=off:plsq=on:sd=1:sos=all:ss=axioms:st=1.2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/3Mi) 0.14/0.37 % (16524)Instruction limit reached! 0.14/0.37 % (16524)------------------------------ 0.14/0.37 % (16524)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.37 % (16524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.37 % (16524)Termination reason: Unknown 0.14/0.37 % (16524)Termination phase: Property scanning 0.14/0.37 0.14/0.37 % (16524)Memory used [KB]: 895 0.14/0.37 % (16524)Time elapsed: 0.002 s 0.14/0.37 % (16524)Instructions burned: 2 (million) 0.14/0.37 % (16524)------------------------------ 0.14/0.37 % (16524)------------------------------ 0.14/0.37 % (16525)Instruction limit reached! 0.14/0.37 % (16525)------------------------------ 0.14/0.37 % (16525)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.37 % (16525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.37 % (16525)Termination reason: Unknown 0.14/0.37 % (16525)Termination phase: Property scanning 0.14/0.37 0.14/0.37 % (16525)Memory used [KB]: 1023 0.14/0.37 % (16525)Time elapsed: 0.002 s 0.14/0.37 % (16525)Instructions burned: 3 (million) 0.14/0.37 % (16525)------------------------------ 0.14/0.37 % (16525)------------------------------ 0.14/0.37 % (16527)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/28Mi) 0.14/0.38 % (16532)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/3Mi) 0.14/0.38 % (16527)Instruction limit reached! 0.14/0.38 % (16527)------------------------------ 0.14/0.38 % (16527)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.38 % (16527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.38 % (16527)Termination reason: Unknown 0.14/0.38 % (16527)Termination phase: Saturation 0.14/0.38 0.14/0.38 % (16527)Memory used [KB]: 6012 0.14/0.38 % (16527)Time elapsed: 0.013 s 0.14/0.38 % (16527)Instructions burned: 29 (million) 0.14/0.38 % (16527)------------------------------ 0.14/0.38 % (16527)------------------------------ 0.14/0.39 % (16532)Instruction limit reached! 0.14/0.39 % (16532)------------------------------ 0.14/0.39 % (16532)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.39 % (16532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.39 % (16532)Termination reason: Unknown 0.14/0.39 % (16532)Termination phase: Saturation 0.14/0.39 0.14/0.39 % (16532)Memory used [KB]: 5500 0.14/0.39 % (16532)Time elapsed: 0.003 s 0.14/0.39 % (16532)Instructions burned: 4 (million) 0.14/0.39 % (16532)------------------------------ 0.14/0.39 % (16532)------------------------------ 0.14/0.39 % (16534)lrs+10_1:1_canc=force:tha=some:to=lpo:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.14/0.40 % (16540)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi) 0.14/0.40 % (16534)Instruction limit reached! 0.14/0.40 % (16534)------------------------------ 0.14/0.40 % (16534)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.40 % (16534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.40 % (16534)Termination reason: Unknown 0.14/0.40 % (16534)Termination phase: Saturation 0.14/0.40 0.14/0.40 % (16534)Memory used [KB]: 6140 0.14/0.40 % (16534)Time elapsed: 0.017 s 0.14/0.40 % (16534)Instructions burned: 38 (million) 0.14/0.40 % (16534)------------------------------ 0.14/0.40 % (16534)------------------------------ 0.14/0.40 % (16536)dis+20_1:4_av=off:bd=off:cond=fast:fd=off:nwc=2.0:s2a=on:s2at=5.0:sp=reverse_arity:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/2Mi) 0.14/0.40 % (16536)Instruction limit reached! 0.14/0.40 % (16536)------------------------------ 0.14/0.40 % (16536)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.40 % (16536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.40 % (16536)Termination reason: Unknown 0.14/0.40 % (16536)Termination phase: Preprocessing 1 0.14/0.40 0.14/0.40 % (16536)Memory used [KB]: 895 0.14/0.40 % (16536)Time elapsed: 0.002 s 0.14/0.40 % (16536)Instructions burned: 2 (million) 0.14/0.40 % (16536)------------------------------ 0.14/0.40 % (16536)------------------------------ 0.14/0.40 % (16541)dis+10_1:64_nwc=1.4:tha=off:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/19Mi) 0.14/0.40 % (16542)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/49Mi) 0.14/0.40 % (16542)Refutation not found, incomplete strategy% (16542)------------------------------ 0.14/0.40 % (16542)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.40 % (16542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.40 % (16542)Termination reason: Refutation not found, incomplete strategy 0.14/0.40 0.14/0.40 % (16542)Memory used [KB]: 5628 0.14/0.41 % (16542)Time elapsed: 0.003 s 0.14/0.41 % (16542)Instructions burned: 3 (million) 0.14/0.41 % (16542)------------------------------ 0.14/0.41 % (16542)------------------------------ 0.14/0.41 % (16541)Instruction limit reached! 0.14/0.41 % (16541)------------------------------ 0.14/0.41 % (16541)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.41 % (16541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.41 % (16541)Termination reason: Unknown 0.14/0.41 % (16541)Termination phase: Saturation 0.14/0.41 0.14/0.41 % (16541)Memory used [KB]: 5756 0.14/0.41 % (16541)Time elapsed: 0.010 s 0.14/0.41 % (16541)Instructions burned: 21 (million) 0.14/0.41 % (16541)------------------------------ 0.14/0.41 % (16541)------------------------------ 0.14/0.41 % (16540)Instruction limit reached! 0.14/0.41 % (16540)------------------------------ 0.14/0.41 % (16540)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.41 % (16540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.41 % (16540)Termination reason: Unknown 0.14/0.41 % (16540)Termination phase: Saturation 0.14/0.41 0.14/0.41 % (16540)Memory used [KB]: 6012 0.14/0.41 % (16540)Time elapsed: 0.014 s 0.14/0.41 % (16540)Instructions burned: 32 (million) 0.14/0.41 % (16540)------------------------------ 0.14/0.41 % (16540)------------------------------ 0.14/0.42 % (16551)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/3Mi) 0.14/0.42 % (16551)Instruction limit reached! 0.14/0.42 % (16551)------------------------------ 0.14/0.42 % (16551)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.42 % (16554)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/50Mi) 0.14/0.42 % (16551)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.42 % (16551)Termination reason: Unknown 0.14/0.42 % (16551)Termination phase: Saturation 0.14/0.42 0.14/0.42 % (16551)Memory used [KB]: 5500 0.14/0.42 % (16551)Time elapsed: 0.002 s 0.14/0.42 % (16551)Instructions burned: 3 (million) 0.14/0.42 % (16551)------------------------------ 0.14/0.42 % (16551)------------------------------ 0.14/0.43 % (16565)lrs+31_160:31_acc=on:anc=all_dependent:awrs=decay:awrsf=32:sac=on:sd=1:sos=on:ss=axioms:st=2.0:to=lpo:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/13Mi) 0.14/0.43 % (16567)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/23Mi) 0.14/0.43 % (16565)Refutation not found, incomplete strategy% (16565)------------------------------ 0.14/0.43 % (16565)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.43 % (16565)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.43 % (16565)Termination reason: Refutation not found, incomplete strategy 0.14/0.43 0.14/0.43 % (16565)Memory used [KB]: 5628 0.14/0.43 % (16565)Time elapsed: 0.003 s 0.14/0.43 % (16565)Instructions burned: 5 (million) 0.14/0.43 % (16565)------------------------------ 0.14/0.43 % (16565)------------------------------ 0.14/0.44 % (16571)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/47Mi) 0.14/0.44 % (16554)Instruction limit reached! 0.14/0.44 % (16554)------------------------------ 0.14/0.44 % (16554)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.44 % (16554)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.44 % (16554)Termination reason: Unknown 0.14/0.44 % (16554)Termination phase: Saturation 0.14/0.44 0.14/0.44 % (16554)Memory used [KB]: 6268 0.14/0.44 % (16554)Time elapsed: 0.022 s 0.14/0.44 % (16554)Instructions burned: 52 (million) 0.14/0.44 % (16554)------------------------------ 0.14/0.44 % (16554)------------------------------ 0.14/0.44 % (16571)Refutation not found, incomplete strategy% (16571)------------------------------ 0.14/0.44 % (16571)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.44 % (16571)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.44 % (16571)Termination reason: Refutation not found, incomplete strategy 0.14/0.44 0.14/0.44 % (16571)Memory used [KB]: 1151 0.14/0.44 % (16571)Time elapsed: 0.003 s 0.14/0.44 % (16571)Instructions burned: 5 (million) 0.14/0.44 % (16571)------------------------------ 0.14/0.44 % (16571)------------------------------ 0.14/0.44 % (16577)lrs+1010_1:1_bd=off:fde=unused:gsp=on:newcnf=on:nm=2:sos=on:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/35Mi) 0.14/0.44 % (16567)Instruction limit reached! 0.14/0.44 % (16567)------------------------------ 0.14/0.44 % (16567)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.44 % (16567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.44 % (16567)Termination reason: Unknown 0.14/0.44 % (16567)Termination phase: Saturation 0.14/0.44 0.14/0.44 % (16567)Memory used [KB]: 5756 0.14/0.44 % (16567)Time elapsed: 0.011 s 0.14/0.44 % (16567)Instructions burned: 23 (million) 0.14/0.44 % (16567)------------------------------ 0.14/0.44 % (16567)------------------------------ 0.14/0.44 % (16578)lrs+1011_1:1_bsr=on:sos=on:ss=included:st=2.0:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/50Mi) 0.14/0.44 % (16577)Refutation not found, incomplete strategy% (16577)------------------------------ 0.14/0.44 % (16577)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.44 % (16577)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.44 % (16577)Termination reason: Refutation not found, incomplete strategy 0.14/0.44 0.14/0.44 % (16577)Memory used [KB]: 5500 0.14/0.44 % (16577)Time elapsed: 0.003 s 0.14/0.44 % (16577)Instructions burned: 3 (million) 0.14/0.44 % (16577)------------------------------ 0.14/0.44 % (16577)------------------------------ 0.14/0.45 % (16578)Refutation not found, incomplete strategy% (16578)------------------------------ 0.14/0.45 % (16578)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.45 % (16578)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.45 % (16578)Termination reason: Refutation not found, incomplete strategy 0.14/0.45 0.14/0.45 % (16578)Memory used [KB]: 5628 0.14/0.45 % (16578)Time elapsed: 0.003 s 0.14/0.45 % (16578)Instructions burned: 5 (million) 0.14/0.45 % (16578)------------------------------ 0.14/0.45 % (16578)------------------------------ 0.14/0.45 % (16583)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/49Mi) 0.14/0.47 % (16595)lrs+1011_1:16_br=off:flr=on:sp=frequency:to=lpo:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/32Mi) 0.14/0.47 % (16598)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/43Mi) 0.14/0.47 % (16583)Instruction limit reached! 0.14/0.47 % (16583)------------------------------ 0.14/0.47 % (16583)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.47 % (16583)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.47 % (16583)Termination reason: Unknown 0.14/0.47 % (16583)Termination phase: Saturation 0.14/0.47 0.14/0.47 % (16583)Memory used [KB]: 1791 0.14/0.47 % (16583)Time elapsed: 0.022 s 0.14/0.47 % (16583)Instructions burned: 50 (million) 0.14/0.47 % (16583)------------------------------ 0.14/0.47 % (16583)------------------------------ 0.14/0.47 % (16599)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/49Mi) 0.14/0.47 % (16599)Refutation not found, incomplete strategy% (16599)------------------------------ 0.14/0.47 % (16599)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.47 % (16599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.47 % (16599)Termination reason: Refutation not found, incomplete strategy 0.14/0.47 0.14/0.47 % (16599)Memory used [KB]: 5628 0.14/0.47 % (16599)Time elapsed: 0.003 s 0.14/0.47 % (16599)Instructions burned: 3 (million) 0.14/0.47 % (16599)------------------------------ 0.14/0.47 % (16599)------------------------------ 0.14/0.47 % (16605)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/25Mi) 0.14/0.48 % (16609)ott+10_1:1_bs=on:ins=1:sp=reverse_arity:spb=units:thsq=on:thsqc=16:thsqd=32:thsql=off:to=lpo:urr=on:uwa=one_side_constant:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/37Mi) 0.14/0.48 % (16611)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=22:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/22Mi) 0.14/0.48 % (16595)Instruction limit reached! 0.14/0.48 % (16595)------------------------------ 0.14/0.48 % (16595)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.48 % (16595)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.48 % (16595)Termination reason: Unknown 0.14/0.48 % (16595)Termination phase: Saturation 0.14/0.48 0.14/0.48 % (16595)Memory used [KB]: 6140 0.14/0.48 % (16595)Time elapsed: 0.015 s 0.14/0.48 % (16595)Instructions burned: 33 (million) 0.14/0.48 % (16595)------------------------------ 0.14/0.48 % (16595)------------------------------ 0.14/0.48 % (16605)Instruction limit reached! 0.14/0.48 % (16605)------------------------------ 0.14/0.48 % (16605)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.48 % (16605)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.48 % (16605)Termination reason: Unknown 0.14/0.48 % (16605)Termination phase: Saturation 0.14/0.48 0.14/0.48 % (16605)Memory used [KB]: 5884 0.14/0.48 % (16605)Time elapsed: 0.032 s 0.14/0.48 % (16605)Instructions burned: 25 (million) 0.14/0.48 % (16605)------------------------------ 0.14/0.48 % (16605)------------------------------ 0.14/0.49 % (16598)Instruction limit reached! 0.14/0.49 % (16598)------------------------------ 0.14/0.49 % (16598)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.49 % (16598)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.49 % (16598)Termination reason: Unknown 0.14/0.49 % (16598)Termination phase: Saturation 0.14/0.49 0.14/0.49 % (16598)Memory used [KB]: 6268 0.14/0.49 % (16598)Time elapsed: 0.019 s 0.14/0.49 % (16598)Instructions burned: 44 (million) 0.14/0.49 % (16598)------------------------------ 0.14/0.49 % (16598)------------------------------ 0.14/0.49 % (16611)Instruction limit reached! 0.14/0.49 % (16611)------------------------------ 0.14/0.49 % (16611)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.49 % (16611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.49 % (16611)Termination reason: Unknown 0.14/0.49 % (16611)Termination phase: Saturation 0.14/0.49 0.14/0.49 % (16611)Memory used [KB]: 5884 0.14/0.49 % (16611)Time elapsed: 0.032 s 0.14/0.49 % (16611)Instructions burned: 22 (million) 0.14/0.49 % (16611)------------------------------ 0.14/0.49 % (16611)------------------------------ 0.14/0.49 % (16609)Instruction limit reached! 0.14/0.49 % (16609)------------------------------ 0.14/0.49 % (16609)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.49 % (16609)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.49 % (16609)Termination reason: Unknown 0.14/0.49 % (16609)Termination phase: Saturation 0.14/0.49 0.14/0.49 % (16609)Memory used [KB]: 6268 0.14/0.49 % (16609)Time elapsed: 0.038 s 0.14/0.49 % (16609)Instructions burned: 37 (million) 0.14/0.49 % (16609)------------------------------ 0.14/0.49 % (16609)------------------------------ 0.14/0.50 % (16620)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=153:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/153Mi) 0.14/0.50 % (16620)Refutation not found, incomplete strategy% (16620)------------------------------ 0.14/0.50 % (16620)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.50 % (16620)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.50 % (16620)Termination reason: Refutation not found, incomplete strategy 0.14/0.50 0.14/0.50 % (16620)Memory used [KB]: 5628 0.14/0.50 % (16620)Time elapsed: 0.025 s 0.14/0.50 % (16620)Instructions burned: 4 (million) 0.14/0.50 % (16620)------------------------------ 0.14/0.50 % (16620)------------------------------ 0.14/0.50 % (16623)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=171:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/171Mi) 0.14/0.51 % (16628)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=167:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/167Mi) 0.14/0.51 % (16632)ott+10_1:1_afp=20:bs=on:ins=1:sac=on:sas=z3:spb=units:to=lpo:urr=on:uwa=ground:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/211Mi) 0.14/0.52 % (16634)lrs+1010_8:1_abs=on:fs=off:fsr=off:sas=z3:urr=ec_only:i=496:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/496Mi) 0.14/0.52 % (16637)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=461:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/461Mi) 0.14/0.52 % (16640)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=227:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/227Mi) 0.14/0.53 % (16642)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=369:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/369Mi) 0.14/0.54 % (16642)Refutation not found, incomplete strategy% (16642)------------------------------ 0.14/0.54 % (16642)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.14/0.54 % (16642)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.14/0.54 % (16642)Termination reason: Refutation not found, incomplete strategy 0.14/0.54 0.14/0.54 % (16642)Memory used [KB]: 5500 0.14/0.54 % (16642)Time elapsed: 0.004 s 0.14/0.54 % (16642)Instructions burned: 4 (million) 0.14/0.54 % (16642)------------------------------ 0.14/0.54 % (16642)------------------------------ 2.17/0.57 % (16657)lrs+10_1:1_sfv=off:thi=all:thigen=on:i=98:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/98Mi) 2.17/0.58 % (16623)Instruction limit reached! 2.17/0.58 % (16623)------------------------------ 2.17/0.58 % (16623)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.17/0.58 % (16623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.17/0.58 % (16623)Termination reason: Unknown 2.17/0.58 % (16623)Termination phase: Saturation 2.17/0.58 2.17/0.58 % (16623)Memory used [KB]: 9338 2.17/0.58 % (16623)Time elapsed: 0.072 s 2.17/0.58 % (16623)Instructions burned: 171 (million) 2.17/0.58 % (16623)------------------------------ 2.17/0.58 % (16623)------------------------------ 2.17/0.58 % (16628)Instruction limit reached! 2.17/0.58 % (16628)------------------------------ 2.17/0.58 % (16628)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.17/0.58 % (16628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.17/0.58 % (16628)Termination reason: Unknown 2.17/0.58 % (16628)Termination phase: Saturation 2.17/0.58 2.17/0.58 % (16628)Memory used [KB]: 8955 2.17/0.58 % (16628)Time elapsed: 0.070 s 2.17/0.58 % (16628)Instructions burned: 169 (million) 2.17/0.58 % (16628)------------------------------ 2.17/0.58 % (16628)------------------------------ 2.17/0.59 % (16632)Instruction limit reached! 2.17/0.59 % (16632)------------------------------ 2.17/0.59 % (16632)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.17/0.59 % (16632)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.17/0.59 % (16632)Termination reason: Unknown 2.17/0.59 % (16632)Termination phase: Saturation 2.17/0.59 2.17/0.59 % (16632)Memory used [KB]: 2430 2.17/0.59 % (16632)Time elapsed: 0.077 s 2.17/0.59 % (16632)Instructions burned: 211 (million) 2.17/0.59 % (16632)------------------------------ 2.17/0.59 % (16632)------------------------------ 2.17/0.60 % (16640)Instruction limit reached! 2.17/0.60 % (16640)------------------------------ 2.17/0.60 % (16640)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.17/0.60 % (16640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.17/0.60 % (16640)Termination reason: Unknown 2.17/0.60 % (16640)Termination phase: Saturation 2.17/0.60 2.17/0.60 % (16640)Memory used [KB]: 1535 2.17/0.60 % (16640)Time elapsed: 0.075 s 2.17/0.60 % (16640)Instructions burned: 227 (million) 2.17/0.60 % (16640)------------------------------ 2.17/0.60 % (16640)------------------------------ 2.17/0.61 % (16657)Refutation not found, non-redundant clauses discarded% (16657)------------------------------ 2.17/0.61 % (16657)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.17/0.61 % (16657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.17/0.61 % (16657)Termination reason: Refutation not found, non-redundant clauses discarded 2.17/0.61 2.17/0.61 % (16657)Memory used [KB]: 6012 2.17/0.61 % (16657)Time elapsed: 0.037 s 2.17/0.61 % (16657)Instructions burned: 91 (million) 2.17/0.61 % (16657)------------------------------ 2.17/0.61 % (16657)------------------------------ 2.17/0.61 % (16662)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=153:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/153Mi) 2.17/0.61 % (16663)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=164:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/164Mi) 2.51/0.62 % (16668)ott+1011_1:3_afr=on:alpa=random:amm=sco:awrs=converge:awrsf=220:bce=on:bd=preordered:fd=preordered:flr=on:fsd=on:gs=on:gsaa=from_current:ins=1:nwc=5.0:plsq=on:plsqc=1:plsql=on:plsqr=1,32:s2a=on:s2at=2.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=5,23:sp=reverse_arity:spb=goal_then_units:to=lpo:uwa=one_side_constant:i=269:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/269Mi) 2.51/0.63 % (16669)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=372:si=on:rawr=on:rtra=on_0 on theBenchmark for (1197ds/372Mi) 2.51/0.64 % (16670)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=495:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/495Mi) 2.60/0.67 % (16662)Instruction limit reached! 2.60/0.67 % (16662)------------------------------ 2.60/0.67 % (16662)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.67 % (16662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.67 % (16663)Instruction limit reached! 2.60/0.67 % (16663)------------------------------ 2.60/0.67 % (16663)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.67 % (16663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.67 % (16663)Termination reason: Unknown 2.60/0.67 % (16663)Termination phase: Saturation 2.60/0.67 2.60/0.67 % (16663)Memory used [KB]: 2046 2.60/0.67 % (16663)Time elapsed: 0.056 s 2.60/0.67 % (16663)Instructions burned: 164 (million) 2.60/0.67 % (16663)------------------------------ 2.60/0.67 % (16663)------------------------------ 2.60/0.67 % (16662)Termination reason: Unknown 2.60/0.67 % (16662)Termination phase: Saturation 2.60/0.67 2.60/0.67 % (16662)Memory used [KB]: 1663 2.60/0.67 % (16662)Time elapsed: 0.056 s 2.60/0.67 % (16662)Instructions burned: 154 (million) 2.60/0.67 % (16662)------------------------------ 2.60/0.67 % (16662)------------------------------ 2.60/0.67 % (16634)Instruction limit reached! 2.60/0.67 % (16634)------------------------------ 2.60/0.67 % (16634)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.67 % (16634)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.67 % (16634)Termination reason: Unknown 2.60/0.67 % (16634)Termination phase: Saturation 2.60/0.67 2.60/0.67 % (16634)Memory used [KB]: 2302 2.60/0.67 % (16634)Time elapsed: 0.152 s 2.60/0.67 % (16634)Instructions burned: 497 (million) 2.60/0.67 % (16634)------------------------------ 2.60/0.67 % (16634)------------------------------ 2.60/0.69 % (16637)Instruction limit reached! 2.60/0.69 % (16637)------------------------------ 2.60/0.69 % (16637)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.69 % (16637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.69 % (16637)Termination reason: Unknown 2.60/0.69 % (16637)Termination phase: Saturation 2.60/0.69 2.60/0.69 % (16637)Memory used [KB]: 11385 2.60/0.69 % (16637)Time elapsed: 0.170 s 2.60/0.69 % (16637)Instructions burned: 463 (million) 2.60/0.69 % (16637)------------------------------ 2.60/0.69 % (16637)------------------------------ 2.60/0.70 % (16683)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=119:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/119Mi) 2.60/0.70 % (16682)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=70:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/70Mi) 2.60/0.70 % (16682)Refutation not found, incomplete strategy% (16682)------------------------------ 2.60/0.70 % (16682)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.70 % (16682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.70 % (16682)Termination reason: Refutation not found, incomplete strategy 2.60/0.70 2.60/0.70 % (16682)Memory used [KB]: 5628 2.60/0.70 % (16682)Time elapsed: 0.004 s 2.60/0.70 % (16682)Instructions burned: 5 (million) 2.60/0.70 % (16682)------------------------------ 2.60/0.70 % (16682)------------------------------ 2.60/0.70 % (16684)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=240:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/240Mi) 2.60/0.72 % (16691)dis+10_7:24_aac=none:acc=on:afp=1000:avsq=on:avsqr=31,32:bd=preordered:bs=unit_only:nwc=3.0:slsq=on:slsqc=1:slsql=off:slsqr=9,8:sp=frequency:to=lpo:i=78:si=on:rawr=on:rtra=on_0 on theBenchmark for (1196ds/78Mi) 2.60/0.72 % (16668)Instruction limit reached! 2.60/0.72 % (16668)------------------------------ 2.60/0.72 % (16668)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 2.60/0.72 % (16668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 2.60/0.72 % (16668)Termination reason: Unknown 2.60/0.72 % (16668)Termination phase: Saturation 2.60/0.72 2.60/0.72 % (16668)Memory used [KB]: 7419 2.60/0.72 % (16668)Time elapsed: 0.099 s 2.60/0.72 % (16668)Instructions burned: 269 (million) 2.60/0.72 % (16668)------------------------------ 2.60/0.72 % (16668)------------------------------ 3.09/0.73 % (16695)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=279:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/279Mi) 3.09/0.73 % (16683)Instruction limit reached! 3.09/0.73 % (16683)------------------------------ 3.09/0.73 % (16683)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.09/0.73 % (16683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.09/0.73 % (16683)Termination reason: Unknown 3.09/0.73 % (16683)Termination phase: Saturation 3.09/0.73 3.09/0.73 % (16683)Memory used [KB]: 1279 3.09/0.73 % (16683)Time elapsed: 0.039 s 3.09/0.73 % (16683)Instructions burned: 119 (million) 3.09/0.73 % (16683)------------------------------ 3.09/0.73 % (16683)------------------------------ 3.09/0.74 % (16670)Refutation not found, non-redundant clauses discarded% (16670)------------------------------ 3.09/0.74 % (16670)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.09/0.74 % (16670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.09/0.74 % (16670)Termination reason: Refutation not found, non-redundant clauses discarded 3.09/0.74 3.09/0.74 % (16670)Memory used [KB]: 2814 3.09/0.74 % (16670)Time elapsed: 0.098 s 3.09/0.74 % (16670)Instructions burned: 247 (million) 3.09/0.74 % (16670)------------------------------ 3.09/0.74 % (16670)------------------------------ 3.09/0.75 % (16691)Instruction limit reached! 3.09/0.75 % (16691)------------------------------ 3.09/0.75 % (16691)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.09/0.75 % (16691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.09/0.75 % (16691)Termination reason: Unknown 3.09/0.75 % (16691)Termination phase: Saturation 3.09/0.75 3.09/0.75 % (16691)Memory used [KB]: 6652 3.09/0.75 % (16691)Time elapsed: 0.033 s 3.09/0.75 % (16691)Instructions burned: 78 (million) 3.09/0.75 % (16691)------------------------------ 3.09/0.75 % (16691)------------------------------ 3.09/0.75 % (16700)dis+10_1:1_lma=on:sac=on:sos=all:spb=goal_then_units:ss=axioms:to=lpo:i=206:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/206Mi) 3.09/0.76 % (16669)Instruction limit reached! 3.09/0.76 % (16669)------------------------------ 3.09/0.76 % (16669)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.09/0.76 % (16669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.09/0.76 % (16669)Termination reason: Unknown 3.09/0.76 % (16669)Termination phase: Saturation 3.09/0.76 3.09/0.76 % (16669)Memory used [KB]: 2302 3.09/0.76 % (16669)Time elapsed: 0.129 s 3.09/0.76 % (16669)Instructions burned: 374 (million) 3.09/0.76 % (16669)------------------------------ 3.09/0.76 % (16669)------------------------------ 3.09/0.76 % (16700)Refutation not found, incomplete strategy% (16700)------------------------------ 3.09/0.76 % (16700)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.09/0.76 % (16700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.09/0.76 % (16700)Termination reason: Refutation not found, incomplete strategy 3.09/0.76 3.09/0.76 % (16700)Memory used [KB]: 5628 3.09/0.76 % (16700)Time elapsed: 0.005 s 3.09/0.76 % (16700)Instructions burned: 8 (million) 3.09/0.76 % (16700)------------------------------ 3.09/0.76 % (16700)------------------------------ 3.09/0.77 % (16705)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=451:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/451Mi) 3.09/0.77 % (16706)dis+1011_1:1_aac=none:abs=on:add=off:aer=off:afp=1000:bd=off:sac=on:sas=z3:sfv=off:skr=on:sos=all:urr=on:i=387:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/387Mi) 3.58/0.78 % (16707)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=331:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/331Mi) 3.58/0.79 % (16708)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=295:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/295Mi) 3.58/0.79 % (16709)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=379:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/379Mi) 3.58/0.80 % (16684)Instruction limit reached! 3.58/0.80 % (16684)------------------------------ 3.58/0.80 % (16684)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.58/0.80 % (16684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.58/0.80 % (16684)Termination reason: Unknown 3.58/0.80 % (16684)Termination phase: Saturation 3.58/0.80 3.58/0.80 % (16684)Memory used [KB]: 9978 3.58/0.80 % (16684)Time elapsed: 0.099 s 3.58/0.80 % (16684)Instructions burned: 241 (million) 3.58/0.80 % (16684)------------------------------ 3.58/0.80 % (16684)------------------------------ 3.58/0.82 % (16695)Instruction limit reached! 3.58/0.82 % (16695)------------------------------ 3.58/0.82 % (16695)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.58/0.82 % (16695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.58/0.82 % (16695)Termination reason: Unknown 3.58/0.82 % (16695)Termination phase: Saturation 3.58/0.82 3.58/0.82 % (16695)Memory used [KB]: 9978 3.58/0.82 % (16695)Time elapsed: 0.088 s 3.58/0.82 % (16695)Instructions burned: 279 (million) 3.58/0.82 % (16695)------------------------------ 3.58/0.82 % (16695)------------------------------ 3.58/0.83 % (16717)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=398:si=on:rawr=on:rtra=on_0 on theBenchmark for (1195ds/398Mi) 3.91/0.85 % (16723)dis+10_1:1_br=off:drc=off:kmz=on:plsq=on:plsqc=1:plsqr=32,1:sp=reverse_arity:suph=off:urr=ec_only:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/223Mi) 3.91/0.85 % (16723)Refutation not found, incomplete strategy% (16723)------------------------------ 3.91/0.85 % (16723)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.91/0.85 % (16723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.91/0.85 % (16723)Termination reason: Refutation not found, incomplete strategy 3.91/0.85 3.91/0.85 % (16723)Memory used [KB]: 5500 3.91/0.85 % (16723)Time elapsed: 0.004 s 3.91/0.85 % (16723)Instructions burned: 5 (million) 3.91/0.85 % (16723)------------------------------ 3.91/0.85 % (16723)------------------------------ 3.96/0.88 % (16747)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=233:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/233Mi) 3.96/0.89 % (16707)Instruction limit reached! 3.96/0.89 % (16707)------------------------------ 3.96/0.89 % (16707)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.96/0.89 % (16707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.96/0.89 % (16707)Termination reason: Unknown 3.96/0.89 % (16707)Termination phase: Saturation 3.96/0.89 3.96/0.89 % (16707)Memory used [KB]: 8443 3.96/0.89 % (16707)Time elapsed: 0.106 s 3.96/0.89 % (16707)Instructions burned: 331 (million) 3.96/0.89 % (16707)------------------------------ 3.96/0.89 % (16707)------------------------------ 3.96/0.89 % (16708)Instruction limit reached! 3.96/0.89 % (16708)------------------------------ 3.96/0.89 % (16708)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.96/0.89 % (16708)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.96/0.89 % (16708)Termination reason: Unknown 3.96/0.89 % (16708)Termination phase: Saturation 3.96/0.89 3.96/0.89 % (16708)Memory used [KB]: 1918 3.96/0.89 % (16708)Time elapsed: 0.103 s 3.96/0.89 % (16708)Instructions burned: 295 (million) 3.96/0.89 % (16708)------------------------------ 3.96/0.89 % (16708)------------------------------ 3.96/0.90 % (16706)Instruction limit reached! 3.96/0.90 % (16706)------------------------------ 3.96/0.90 % (16706)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 3.96/0.90 % (16706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 3.96/0.90 % (16706)Termination reason: Unknown 3.96/0.90 % (16706)Termination phase: Saturation 3.96/0.90 3.96/0.90 % (16706)Memory used [KB]: 4093 3.96/0.90 % (16706)Time elapsed: 0.136 s 3.96/0.90 % (16706)Instructions burned: 389 (million) 3.96/0.90 % (16706)------------------------------ 3.96/0.90 % (16706)------------------------------ 3.96/0.92 % (16761)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=383:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/383Mi) 4.45/0.92 % (16762)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=1906:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/1906Mi) 4.45/0.92 % (16709)Instruction limit reached! 4.45/0.92 % (16709)------------------------------ 4.45/0.92 % (16709)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 4.45/0.92 % (16709)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.45/0.92 % (16709)Termination reason: Unknown 4.45/0.92 % (16709)Termination phase: Saturation 4.45/0.92 4.45/0.92 % (16709)Memory used [KB]: 3582 4.45/0.92 % (16709)Time elapsed: 0.137 s 4.45/0.92 % (16709)Instructions burned: 381 (million) 4.45/0.92 % (16709)------------------------------ 4.45/0.92 % (16709)------------------------------ 4.45/0.94 % (16763)dis+1004_1:3_av=off:bs=on:plsq=on:i=4883:si=on:rawr=on:rtra=on_0 on theBenchmark for (1194ds/4883Mi) 4.45/0.95 % (16705)Instruction limit reached! 4.45/0.95 % (16705)------------------------------ 4.45/0.95 % (16705)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 4.45/0.95 % (16705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.45/0.95 % (16705)Termination reason: Unknown 4.45/0.95 % (16705)Termination phase: Saturation 4.45/0.95 4.45/0.95 % (16705)Memory used [KB]: 8443 4.45/0.95 % (16705)Time elapsed: 0.183 s 4.45/0.95 % (16705)Instructions burned: 452 (million) 4.45/0.95 % (16705)------------------------------ 4.45/0.95 % (16705)------------------------------ 4.86/0.96 % (16764)dis+1011_3:1_av=off:drc=off:fsr=off:ins=1:nm=6:plsq=on:plsqc=2:plsqr=32,1:slsq=on:slsqc=2:slsqr=83,53:urr=ec_only:i=210:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/210Mi) 4.86/0.96 % (16747)Instruction limit reached! 4.86/0.96 % (16747)------------------------------ 4.86/0.96 % (16747)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 4.86/0.96 % (16747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.86/0.96 % (16747)Termination reason: Unknown 4.86/0.96 % (16747)Termination phase: Saturation 4.86/0.96 4.86/0.96 % (16747)Memory used [KB]: 1918 4.86/0.96 % (16747)Time elapsed: 0.080 s 4.86/0.96 % (16747)Instructions burned: 234 (million) 4.86/0.96 % (16747)------------------------------ 4.86/0.96 % (16747)------------------------------ 4.86/0.98 % (16717)Instruction limit reached! 4.86/0.98 % (16717)------------------------------ 4.86/0.98 % (16717)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 4.86/0.98 % (16717)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.86/0.98 % (16717)Termination reason: Unknown 4.86/0.98 % (16717)Termination phase: Saturation 4.86/0.98 4.86/0.98 % (16717)Memory used [KB]: 3965 4.86/0.98 % (16717)Time elapsed: 0.147 s 4.86/0.98 % (16717)Instructions burned: 398 (million) 4.86/0.98 % (16717)------------------------------ 4.86/0.98 % (16717)------------------------------ 4.86/0.98 % (16765)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=502:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/502Mi) 4.86/0.99 % (16766)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1210:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/1210Mi) 4.86/1.01 % (16767)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1676:si=on:rawr=on:rtra=on_0 on theBenchmark for (1193ds/1676Mi) 4.86/1.03 % (16761)Instruction limit reached! 4.86/1.03 % (16761)------------------------------ 4.86/1.03 % (16761)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 4.86/1.03 % (16761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 4.86/1.03 % (16761)Termination reason: Unknown 4.86/1.03 % (16761)Termination phase: Saturation 4.86/1.03 4.86/1.03 % (16761)Memory used [KB]: 2814 4.86/1.03 % (16761)Time elapsed: 0.108 s 4.86/1.03 % (16761)Instructions burned: 383 (million) 4.86/1.03 % (16761)------------------------------ 4.86/1.03 % (16761)------------------------------ 5.38/1.03 % (16764)Instruction limit reached! 5.38/1.03 % (16764)------------------------------ 5.38/1.03 % (16764)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 5.38/1.03 % (16764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 5.38/1.03 % (16764)Termination reason: Unknown 5.38/1.03 % (16764)Termination phase: Saturation 5.38/1.03 5.38/1.03 % (16764)Memory used [KB]: 3709 5.38/1.03 % (16764)Time elapsed: 0.075 s 5.38/1.03 % (16764)Instructions burned: 213 (million) 5.38/1.03 % (16764)------------------------------ 5.38/1.03 % (16764)------------------------------ 5.38/1.06 % (16768)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3120:si=on:rawr=on:rtra=on_0 on theBenchmark for (1192ds/3120Mi) 5.38/1.06 % (16769)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2315:si=on:rawr=on:rtra=on_0 on theBenchmark for (1192ds/2315Mi) 7.01/1.19 % (16765)Instruction limit reached! 7.01/1.19 % (16765)------------------------------ 7.01/1.19 % (16765)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 7.01/1.19 % (16765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.01/1.19 % (16765)Termination reason: Unknown 7.01/1.19 % (16765)Termination phase: Saturation 7.01/1.19 7.01/1.19 % (16765)Memory used [KB]: 9722 7.01/1.19 % (16765)Time elapsed: 0.229 s 7.01/1.19 % (16765)Instructions burned: 503 (million) 7.01/1.19 % (16765)------------------------------ 7.01/1.19 % (16765)------------------------------ 7.36/1.22 % (16770)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3800:si=on:rawr=on:rtra=on_0 on theBenchmark for (1191ds/3800Mi) 7.53/1.30 % (16766)Instruction limit reached! 7.53/1.30 % (16766)------------------------------ 7.53/1.30 % (16766)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 7.53/1.30 % (16766)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 7.53/1.30 % (16766)Termination reason: Unknown 7.53/1.30 % (16766)Termination phase: Saturation 7.53/1.30 7.53/1.30 % (16766)Memory used [KB]: 8187 7.53/1.30 % (16766)Time elapsed: 0.310 s 7.53/1.30 % (16766)Instructions burned: 1213 (million) 7.53/1.30 % (16766)------------------------------ 7.53/1.30 % (16766)------------------------------ 8.07/1.34 % (16771)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=239:si=on:rawr=on:rtra=on_0 on theBenchmark for (1190ds/239Mi) 8.37/1.42 % (16771)Instruction limit reached! 8.37/1.42 % (16771)------------------------------ 8.37/1.42 % (16771)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 8.37/1.42 % (16771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 8.37/1.42 % (16771)Termination reason: Unknown 8.37/1.42 % (16771)Termination phase: Saturation 8.37/1.42 8.37/1.42 % (16771)Memory used [KB]: 1535 8.37/1.42 % (16771)Time elapsed: 0.102 s 8.37/1.42 % (16771)Instructions burned: 239 (million) 8.37/1.42 % (16771)------------------------------ 8.37/1.42 % (16771)------------------------------ 8.93/1.45 % (16772)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=659:si=on:rawr=on:rtra=on_0 on theBenchmark for (1188ds/659Mi) 9.51/1.56 % (16772)First to succeed. 9.51/1.57 % (16772)Refutation found. Thanks to Tanya! 9.51/1.57 % SZS status Theorem for theBenchmark 9.51/1.57 % SZS output start Proof for theBenchmark 9.51/1.57 tff(type_def_5, type, set: $tType). 9.51/1.57 tff(type_def_6, type, element: $tType). 9.51/1.57 tff(func_def_0, type, empty_set: set). 9.51/1.57 tff(func_def_1, type, singleton: (element) > set). 9.51/1.57 tff(func_def_2, type, intersection: (set * set) > set). 9.51/1.57 tff(func_def_3, type, union: (set * set) > set). 9.51/1.57 tff(func_def_4, type, difference: (set * set) > set). 9.51/1.57 tff(func_def_5, type, complement: (set) > set). 9.51/1.57 tff(func_def_6, type, cardinality: (set) > $int). 9.51/1.57 tff(func_def_12, type, sK0: element). 9.51/1.57 tff(func_def_13, type, sK1: set). 9.51/1.57 tff(func_def_14, type, sK2: element). 9.51/1.57 tff(func_def_15, type, sK3: set). 9.51/1.57 tff(func_def_16, type, sK4: element). 9.51/1.57 tff(func_def_17, type, sK5: (set) > element). 9.51/1.57 tff(func_def_18, type, sF6: set). 9.51/1.57 tff(func_def_19, type, sF7: set). 9.51/1.57 tff(func_def_20, type, sF8: set). 9.51/1.57 tff(func_def_21, type, sF9: set). 9.51/1.57 tff(func_def_22, type, sF10: set). 9.51/1.57 tff(func_def_23, type, sF11: set). 9.51/1.57 tff(func_def_24, type, sF12: set). 9.51/1.57 tff(func_def_25, type, sF13: set). 9.51/1.57 tff(func_def_26, type, sF14: $int). 9.51/1.57 tff(func_def_27, type, sF15: $int). 9.51/1.57 tff(func_def_28, type, sF16: $int). 9.51/1.57 tff(pred_def_1, type, member: (element * set) > $o). 9.51/1.57 tff(pred_def_2, type, subset: (set * set) > $o). 9.51/1.57 tff(f2762,plain,( 9.51/1.57 $false), 9.51/1.57 inference(avatar_smt_refutation,[],[f120,f124,f128,f132,f136,f140,f144,f148,f152,f156,f160,f164,f168,f172,f176,f180,f184,f189,f194,f199,f215,f227,f234,f238,f243,f257,f265,f272,f283,f288,f294,f302,f307,f318,f328,f333,f381,f404,f408,f415,f435,f443,f456,f466,f505,f545,f554,f558,f575,f584,f619,f653,f654,f655,f663,f748,f755,f761,f768,f778,f779,f786,f801,f807,f810,f822,f839,f846,f855,f859,f867,f872,f875,f878,f884,f890,f895,f902,f909,f918,f919,f924,f931,f963,f972,f990,f1013,f1189,f1191,f1193,f1243,f1251,f1262,f1268,f1272,f1276,f1292,f1304,f1340,f1356,f1369,f1389,f1411,f1420,f1438,f1449,f1490,f1603,f1607,f1611,f1674,f1688,f1731,f1742,f1763,f1812,f1857,f1859,f1870,f1885,f1906,f1908,f2024,f2051,f2054,f2058,f2064,f2068,f2091,f2095,f2100,f2105,f2110,f2136,f2140,f2145,f2226,f2274,f2278,f2297,f2306,f2310,f2315,f2342,f2348,f2403,f2476,f2478,f2513,f2532,f2536,f2538,f2542,f2557,f2561,f2564,f2578,f2625,f2630,f2651,f2653,f2672,f2752,f2760,f2761])). 9.51/1.57 tff(f2761,plain,( 9.51/1.57 ~spl17_40 | ~spl17_14 | spl17_38 | spl17_47), 9.51/1.57 inference(avatar_split_clause,[],[f2757,f556,f406,f170,f433])). 9.51/1.57 tff(f433,plain,( 9.51/1.57 spl17_40 <=> member(sK2,sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_40])])). 9.51/1.57 tff(f170,plain,( 9.51/1.57 spl17_14 <=> sF10 = union(sK3,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_14])])). 9.51/1.57 tff(f406,plain,( 9.51/1.57 spl17_38 <=> member(sK2,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_38])])). 9.51/1.57 tff(f556,plain,( 9.51/1.57 spl17_47 <=> member(sK2,sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_47])])). 9.51/1.57 tff(f2757,plain,( 9.51/1.57 ~member(sK2,sF10) | (~spl17_14 | spl17_38 | spl17_47)), 9.51/1.57 inference(subsumption_resolution,[],[f588,f557])). 9.51/1.57 tff(f557,plain,( 9.51/1.57 ~member(sK2,sK3) | spl17_47), 9.51/1.57 inference(avatar_component_clause,[],[f556])). 9.51/1.57 tff(f588,plain,( 9.51/1.57 member(sK2,sK3) | ~member(sK2,sF10) | (~spl17_14 | spl17_38)), 9.51/1.57 inference(resolution,[],[f483,f407])). 9.51/1.57 tff(f407,plain,( 9.51/1.57 ~member(sK2,sF6) | spl17_38), 9.51/1.57 inference(avatar_component_clause,[],[f406])). 9.51/1.57 tff(f483,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF6) | member(X0,sK3) | ~member(X0,sF10)) ) | ~spl17_14), 9.51/1.57 inference(superposition,[],[f73,f171])). 9.51/1.57 tff(f171,plain,( 9.51/1.57 sF10 = union(sK3,sF6) | ~spl17_14), 9.51/1.57 inference(avatar_component_clause,[],[f170])). 9.51/1.57 tff(f73,plain,( 9.51/1.57 ( ! [X2 : element,X0 : set,X1 : set] : (~member(X2,union(X0,X1)) | member(X2,X1) | member(X2,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f47])). 9.51/1.57 tff(f47,plain,( 9.51/1.57 ! [X0 : set,X1 : set,X2 : element] : ((member(X2,union(X0,X1)) | (~member(X2,X1) & ~member(X2,X0))) & (member(X2,X1) | member(X2,X0) | ~member(X2,union(X0,X1))))), 9.51/1.57 inference(rectify,[],[f46])). 9.51/1.57 tff(f46,plain,( 9.51/1.57 ! [X1 : set,X2 : set,X0 : element] : ((member(X0,union(X1,X2)) | (~member(X0,X2) & ~member(X0,X1))) & (member(X0,X2) | member(X0,X1) | ~member(X0,union(X1,X2))))), 9.51/1.57 inference(flattening,[],[f45])). 9.51/1.57 tff(f45,plain,( 9.51/1.57 ! [X1 : set,X2 : set,X0 : element] : ((member(X0,union(X1,X2)) | (~member(X0,X2) & ~member(X0,X1))) & ((member(X0,X2) | member(X0,X1)) | ~member(X0,union(X1,X2))))), 9.51/1.57 inference(nnf_transformation,[],[f6])). 9.51/1.57 tff(f6,axiom,( 9.51/1.57 ! [X1 : set,X2 : set,X0 : element] : (member(X0,union(X1,X2)) <=> (member(X0,X2) | member(X0,X1)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',union)). 9.51/1.57 tff(f2760,plain,( 9.51/1.57 spl17_48 | ~spl17_9 | spl17_63), 9.51/1.57 inference(avatar_split_clause,[],[f2750,f799,f150,f573])). 9.51/1.57 tff(f573,plain,( 9.51/1.57 spl17_48 <=> member(sK2,sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_48])])). 9.51/1.57 tff(f150,plain,( 9.51/1.57 spl17_9 <=> sF12 = singleton(sK2)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_9])])). 9.51/1.57 tff(f799,plain,( 9.51/1.57 spl17_63 <=> empty_set = intersection(sF11,sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_63])])). 9.51/1.57 tff(f2750,plain,( 9.51/1.57 member(sK2,sF11) | (~spl17_9 | spl17_63)), 9.51/1.57 inference(trivial_inequality_removal,[],[f2746])). 9.51/1.57 tff(f2746,plain,( 9.51/1.57 member(sK2,sF11) | empty_set != empty_set | (~spl17_9 | spl17_63)), 9.51/1.57 inference(superposition,[],[f877,f1598])). 9.51/1.57 tff(f1598,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,sF12) | member(sK2,X0)) ) | ~spl17_9), 9.51/1.57 inference(duplicate_literal_removal,[],[f1593])). 9.51/1.57 tff(f1593,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,sF12) | member(sK2,X0) | empty_set = intersection(X0,sF12)) ) | ~spl17_9), 9.51/1.57 inference(superposition,[],[f274,f647])). 9.51/1.57 tff(f647,plain,( 9.51/1.57 ( ! [X22 : set] : (sK5(intersection(X22,sF12)) = sK2 | empty_set = intersection(X22,sF12)) ) | ~spl17_9), 9.51/1.57 inference(resolution,[],[f273,f211])). 9.51/1.57 tff(f211,plain,( 9.51/1.57 ( ! [X2 : element] : (~member(X2,sF12) | sK2 = X2) ) | ~spl17_9), 9.51/1.57 inference(superposition,[],[f91,f151])). 9.51/1.57 tff(f151,plain,( 9.51/1.57 sF12 = singleton(sK2) | ~spl17_9), 9.51/1.57 inference(avatar_component_clause,[],[f150])). 9.51/1.57 tff(f91,plain,( 9.51/1.57 ( ! [X0 : element,X1 : element] : (~member(X0,singleton(X1)) | X0 = X1) )), 9.51/1.57 inference(cnf_transformation,[],[f62])). 9.51/1.57 tff(f62,plain,( 9.51/1.57 ! [X0 : element,X1 : element] : ((member(X0,singleton(X1)) | X0 != X1) & (X0 = X1 | ~member(X0,singleton(X1))))), 9.51/1.57 inference(rectify,[],[f61])). 9.51/1.57 tff(f61,plain,( 9.51/1.57 ! [X1 : element,X0 : element] : ((member(X1,singleton(X0)) | X0 != X1) & (X0 = X1 | ~member(X1,singleton(X0))))), 9.51/1.57 inference(nnf_transformation,[],[f38])). 9.51/1.57 tff(f38,plain,( 9.51/1.57 ! [X1 : element,X0 : element] : (member(X1,singleton(X0)) <=> X0 = X1)), 9.51/1.57 inference(rectify,[],[f5])). 9.51/1.57 tff(f5,axiom,( 9.51/1.57 ! [X1 : element,X0 : element] : (member(X0,singleton(X1)) <=> X0 = X1)), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton)). 9.51/1.57 tff(f273,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : (member(sK5(intersection(X0,X1)),X1) | empty_set = intersection(X0,X1)) )), 9.51/1.57 inference(resolution,[],[f95,f86])). 9.51/1.57 tff(f86,plain,( 9.51/1.57 ( ! [X0 : set] : (member(sK5(X0),X0) | empty_set = X0) )), 9.51/1.57 inference(cnf_transformation,[],[f57])). 9.51/1.57 tff(f57,plain,( 9.51/1.57 ! [X0 : set] : ((empty_set = X0 | member(sK5(X0),X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 9.51/1.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f55,f56])). 9.51/1.57 tff(f56,plain,( 9.51/1.57 ! [X0 : set] : (? [X1 : element] : member(X1,X0) => member(sK5(X0),X0))), 9.51/1.57 introduced(choice_axiom,[])). 9.51/1.57 tff(f55,plain,( 9.51/1.57 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X2 : element] : ~member(X2,X0) | empty_set != X0))), 9.51/1.57 inference(rectify,[],[f54])). 9.51/1.57 tff(f54,plain,( 9.51/1.57 ! [X0 : set] : ((empty_set = X0 | ? [X1 : element] : member(X1,X0)) & (! [X1 : element] : ~member(X1,X0) | empty_set != X0))), 9.51/1.57 inference(nnf_transformation,[],[f37])). 9.51/1.57 tff(f37,plain,( 9.51/1.57 ! [X0 : set] : (empty_set = X0 <=> ! [X1 : element] : ~member(X1,X0))), 9.51/1.57 inference(rectify,[],[f9])). 9.51/1.57 tff(f9,axiom,( 9.51/1.57 ! [X3 : set] : (! [X0 : element] : ~member(X0,X3) <=> empty_set = X3)), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set)). 9.51/1.57 tff(f95,plain,( 9.51/1.57 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X2)) )), 9.51/1.57 inference(cnf_transformation,[],[f66])). 9.51/1.57 tff(f66,plain,( 9.51/1.57 ! [X0 : set,X1 : element,X2 : set] : ((member(X1,intersection(X0,X2)) | ~member(X1,X0) | ~member(X1,X2)) & ((member(X1,X0) & member(X1,X2)) | ~member(X1,intersection(X0,X2))))), 9.51/1.57 inference(rectify,[],[f65])). 9.51/1.57 tff(f65,plain,( 9.51/1.57 ! [X2 : set,X0 : element,X1 : set] : ((member(X0,intersection(X2,X1)) | ~member(X0,X2) | ~member(X0,X1)) & ((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X2,X1))))), 9.51/1.57 inference(flattening,[],[f64])). 9.51/1.57 tff(f64,plain,( 9.51/1.57 ! [X2 : set,X0 : element,X1 : set] : ((member(X0,intersection(X2,X1)) | (~member(X0,X2) | ~member(X0,X1))) & ((member(X0,X2) & member(X0,X1)) | ~member(X0,intersection(X2,X1))))), 9.51/1.57 inference(nnf_transformation,[],[f27])). 9.51/1.57 tff(f27,plain,( 9.51/1.57 ! [X2 : set,X0 : element,X1 : set] : (member(X0,intersection(X2,X1)) <=> (member(X0,X2) & member(X0,X1)))), 9.51/1.57 inference(rectify,[],[f1])). 9.51/1.57 tff(f1,axiom,( 9.51/1.57 ! [X0 : element,X2 : set,X1 : set] : (member(X0,intersection(X1,X2)) <=> (member(X0,X1) & member(X0,X2)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection)). 9.51/1.57 tff(f274,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : (member(sK5(intersection(X0,X1)),X0) | empty_set = intersection(X0,X1)) )), 9.51/1.57 inference(resolution,[],[f96,f86])). 9.51/1.57 tff(f96,plain,( 9.51/1.57 ( ! [X2 : set,X0 : set,X1 : element] : (~member(X1,intersection(X0,X2)) | member(X1,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f66])). 9.51/1.57 tff(f877,plain,( 9.51/1.57 empty_set != intersection(sF11,sF12) | spl17_63), 9.51/1.57 inference(avatar_component_clause,[],[f799])). 9.51/1.57 tff(f2752,plain,( 9.51/1.57 ~spl17_9 | spl17_48 | spl17_63), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2751])). 9.51/1.57 tff(f2751,plain,( 9.51/1.57 $false | (~spl17_9 | spl17_48 | spl17_63)), 9.51/1.57 inference(subsumption_resolution,[],[f2750,f574])). 9.51/1.57 tff(f574,plain,( 9.51/1.57 ~member(sK2,sF11) | spl17_48), 9.51/1.57 inference(avatar_component_clause,[],[f573])). 9.51/1.57 tff(f2672,plain,( 9.51/1.57 spl17_140 | ~spl17_61 | ~spl17_77), 9.51/1.57 inference(avatar_split_clause,[],[f2657,f907,f784,f2534])). 9.51/1.57 tff(f2534,plain,( 9.51/1.57 spl17_140 <=> $sum($sum(sF15,cardinality(sF6)),cardinality(sF8)) = cardinality(sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_140])])). 9.51/1.57 tff(f784,plain,( 9.51/1.57 spl17_61 <=> $sum(cardinality(sF10),cardinality(sF8)) = cardinality(sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_61])])). 9.51/1.57 tff(f907,plain,( 9.51/1.57 spl17_77 <=> $sum(sF15,cardinality(sF6)) = cardinality(sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_77])])). 9.51/1.57 tff(f2657,plain,( 9.51/1.57 $sum($sum(sF15,cardinality(sF6)),cardinality(sF8)) = cardinality(sF11) | (~spl17_61 | ~spl17_77)), 9.51/1.57 inference(forward_demodulation,[],[f838,f908])). 9.51/1.57 tff(f908,plain,( 9.51/1.57 $sum(sF15,cardinality(sF6)) = cardinality(sF10) | ~spl17_77), 9.51/1.57 inference(avatar_component_clause,[],[f907])). 9.51/1.57 tff(f838,plain,( 9.51/1.57 $sum(cardinality(sF10),cardinality(sF8)) = cardinality(sF11) | ~spl17_61), 9.51/1.57 inference(avatar_component_clause,[],[f784])). 9.51/1.57 tff(f2653,plain,( 9.51/1.57 ~spl17_14 | spl17_36 | ~spl17_39 | spl17_46), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2652])). 9.51/1.57 tff(f2652,plain,( 9.51/1.57 $false | (~spl17_14 | spl17_36 | ~spl17_39 | spl17_46)), 9.51/1.57 inference(subsumption_resolution,[],[f2633,f2650])). 9.51/1.57 tff(f2650,plain,( 9.51/1.57 member(sK0,sF10) | ~spl17_39), 9.51/1.57 inference(avatar_component_clause,[],[f413])). 9.51/1.57 tff(f413,plain,( 9.51/1.57 spl17_39 <=> member(sK0,sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_39])])). 9.51/1.57 tff(f2633,plain,( 9.51/1.57 ~member(sK0,sF10) | (~spl17_14 | spl17_36 | spl17_46)), 9.51/1.57 inference(subsumption_resolution,[],[f587,f553])). 9.51/1.57 tff(f553,plain,( 9.51/1.57 ~member(sK0,sK3) | spl17_46), 9.51/1.57 inference(avatar_component_clause,[],[f552])). 9.51/1.57 tff(f552,plain,( 9.51/1.57 spl17_46 <=> member(sK0,sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_46])])). 9.51/1.57 tff(f587,plain,( 9.51/1.57 ~member(sK0,sF10) | member(sK0,sK3) | (~spl17_14 | spl17_36)), 9.51/1.57 inference(resolution,[],[f483,f380])). 9.51/1.57 tff(f380,plain,( 9.51/1.57 ~member(sK0,sF6) | spl17_36), 9.51/1.57 inference(avatar_component_clause,[],[f379])). 9.51/1.57 tff(f379,plain,( 9.51/1.57 spl17_36 <=> member(sK0,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_36])])). 9.51/1.57 tff(f2651,plain,( 9.51/1.57 spl17_39 | ~spl17_8 | spl17_60), 9.51/1.57 inference(avatar_split_clause,[],[f2623,f781,f146,f413])). 9.51/1.57 tff(f146,plain,( 9.51/1.57 spl17_8 <=> sF8 = singleton(sK0)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_8])])). 9.51/1.57 tff(f781,plain,( 9.51/1.57 spl17_60 <=> empty_set = intersection(sF10,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_60])])). 9.51/1.57 tff(f2623,plain,( 9.51/1.57 member(sK0,sF10) | (~spl17_8 | spl17_60)), 9.51/1.57 inference(trivial_inequality_removal,[],[f2618])). 9.51/1.57 tff(f2618,plain,( 9.51/1.57 member(sK0,sF10) | empty_set != empty_set | (~spl17_8 | spl17_60)), 9.51/1.57 inference(superposition,[],[f874,f1588])). 9.51/1.57 tff(f1588,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,sF8) | member(sK0,X0)) ) | ~spl17_8), 9.51/1.57 inference(duplicate_literal_removal,[],[f1584])). 9.51/1.57 tff(f1584,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,sF8) | member(sK0,X0) | empty_set = intersection(X0,sF8)) ) | ~spl17_8), 9.51/1.57 inference(superposition,[],[f274,f646])). 9.51/1.57 tff(f646,plain,( 9.51/1.57 ( ! [X21 : set] : (sK0 = sK5(intersection(X21,sF8)) | empty_set = intersection(X21,sF8)) ) | ~spl17_8), 9.51/1.57 inference(resolution,[],[f273,f210])). 9.51/1.57 tff(f210,plain,( 9.51/1.57 ( ! [X1 : element] : (~member(X1,sF8) | sK0 = X1) ) | ~spl17_8), 9.51/1.57 inference(superposition,[],[f91,f147])). 9.51/1.57 tff(f147,plain,( 9.51/1.57 sF8 = singleton(sK0) | ~spl17_8), 9.51/1.57 inference(avatar_component_clause,[],[f146])). 9.51/1.57 tff(f874,plain,( 9.51/1.57 empty_set != intersection(sF10,sF8) | spl17_60), 9.51/1.57 inference(avatar_component_clause,[],[f781])). 9.51/1.57 tff(f2630,plain,( 9.51/1.57 spl17_3 | ~spl17_8 | spl17_58), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2629])). 9.51/1.57 tff(f2629,plain,( 9.51/1.57 $false | (spl17_3 | ~spl17_8 | spl17_58)), 9.51/1.57 inference(subsumption_resolution,[],[f2620,f127])). 9.51/1.57 tff(f127,plain,( 9.51/1.57 ~member(sK0,sF7) | spl17_3), 9.51/1.57 inference(avatar_component_clause,[],[f126])). 9.51/1.57 tff(f126,plain,( 9.51/1.57 spl17_3 <=> member(sK0,sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])). 9.51/1.57 tff(f2620,plain,( 9.51/1.57 member(sK0,sF7) | (~spl17_8 | spl17_58)), 9.51/1.57 inference(trivial_inequality_removal,[],[f2616])). 9.51/1.57 tff(f2616,plain,( 9.51/1.57 empty_set != empty_set | member(sK0,sF7) | (~spl17_8 | spl17_58)), 9.51/1.57 inference(superposition,[],[f809,f1588])). 9.51/1.57 tff(f809,plain,( 9.51/1.57 empty_set != intersection(sF7,sF8) | spl17_58), 9.51/1.57 inference(avatar_component_clause,[],[f763])). 9.51/1.57 tff(f763,plain,( 9.51/1.57 spl17_58 <=> empty_set = intersection(sF7,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_58])])). 9.51/1.57 tff(f2625,plain,( 9.51/1.57 ~spl17_8 | spl17_39 | spl17_60), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2624])). 9.51/1.57 tff(f2624,plain,( 9.51/1.57 $false | (~spl17_8 | spl17_39 | spl17_60)), 9.51/1.57 inference(subsumption_resolution,[],[f2623,f414])). 9.51/1.57 tff(f414,plain,( 9.51/1.57 ~member(sK0,sF10) | spl17_39), 9.51/1.57 inference(avatar_component_clause,[],[f413])). 9.51/1.57 tff(f2578,plain,( 9.51/1.57 ~spl17_12 | ~spl17_18 | spl17_123), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2577])). 9.51/1.57 tff(f2577,plain,( 9.51/1.57 $false | (~spl17_12 | ~spl17_18 | spl17_123)), 9.51/1.57 inference(subsumption_resolution,[],[f2575,f188])). 9.51/1.57 tff(f188,plain,( 9.51/1.57 member(sK4,sF6) | ~spl17_18), 9.51/1.57 inference(avatar_component_clause,[],[f187])). 9.51/1.57 tff(f187,plain,( 9.51/1.57 spl17_18 <=> member(sK4,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_18])])). 9.51/1.57 tff(f2575,plain,( 9.51/1.57 ~member(sK4,sF6) | (~spl17_12 | spl17_123)), 9.51/1.57 inference(resolution,[],[f2560,f246])). 9.51/1.57 tff(f246,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF7) | ~member(X0,sF6)) ) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f75,f163])). 9.51/1.57 tff(f163,plain,( 9.51/1.57 union(sK1,sF6) = sF7 | ~spl17_12), 9.51/1.57 inference(avatar_component_clause,[],[f162])). 9.51/1.57 tff(f162,plain,( 9.51/1.57 spl17_12 <=> union(sK1,sF6) = sF7), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_12])])). 9.51/1.57 tff(f75,plain,( 9.51/1.57 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,union(X0,X1)) | ~member(X2,X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f47])). 9.51/1.57 tff(f2560,plain,( 9.51/1.57 ~member(sK4,sF7) | spl17_123), 9.51/1.57 inference(avatar_component_clause,[],[f2108])). 9.51/1.57 tff(f2108,plain,( 9.51/1.57 spl17_123 <=> member(sK4,sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_123])])). 9.51/1.57 tff(f2564,plain,( 9.51/1.57 spl17_76 | ~spl17_11 | ~spl17_14 | ~spl17_77), 9.51/1.57 inference(avatar_split_clause,[],[f2562,f907,f170,f158,f904])). 9.51/1.57 tff(f904,plain,( 9.51/1.57 spl17_76 <=> empty_set = intersection(sK3,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_76])])). 9.51/1.57 tff(f158,plain,( 9.51/1.57 spl17_11 <=> sF15 = cardinality(sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_11])])). 9.51/1.57 tff(f2562,plain,( 9.51/1.57 empty_set = intersection(sK3,sF6) | (~spl17_11 | ~spl17_14 | ~spl17_77)), 9.51/1.57 inference(subsumption_resolution,[],[f487,f908])). 9.51/1.57 tff(f487,plain,( 9.51/1.57 empty_set = intersection(sK3,sF6) | $sum(sF15,cardinality(sF6)) != cardinality(sF10) | (~spl17_11 | ~spl17_14)), 9.51/1.57 inference(forward_demodulation,[],[f482,f159])). 9.51/1.57 tff(f159,plain,( 9.51/1.57 sF15 = cardinality(sK3) | ~spl17_11), 9.51/1.57 inference(avatar_component_clause,[],[f158])). 9.51/1.57 tff(f482,plain,( 9.51/1.57 empty_set = intersection(sK3,sF6) | $sum(cardinality(sK3),cardinality(sF6)) != cardinality(sF10) | ~spl17_14), 9.51/1.57 inference(superposition,[],[f71,f171])). 9.51/1.57 tff(f71,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : ($sum(cardinality(X0),cardinality(X1)) != cardinality(union(X0,X1)) | empty_set = intersection(X0,X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f44])). 9.51/1.57 tff(f44,plain,( 9.51/1.57 ! [X0 : set,X1 : set] : (($sum(cardinality(X0),cardinality(X1)) = cardinality(union(X0,X1)) | empty_set != intersection(X0,X1)) & (empty_set = intersection(X0,X1) | $sum(cardinality(X0),cardinality(X1)) != cardinality(union(X0,X1))))), 9.51/1.57 inference(nnf_transformation,[],[f36])). 9.51/1.57 tff(f36,plain,( 9.51/1.57 ! [X0 : set,X1 : set] : ($sum(cardinality(X0),cardinality(X1)) = cardinality(union(X0,X1)) <=> empty_set = intersection(X0,X1))), 9.51/1.57 inference(rectify,[],[f14])). 9.51/1.57 tff(f14,axiom,( 9.51/1.57 ! [X1 : set,X2 : set] : (intersection(X1,X2) = empty_set <=> cardinality(union(X1,X2)) = $sum(cardinality(X1),cardinality(X2)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_union)). 9.51/1.57 tff(f2561,plain,( 9.51/1.57 ~spl17_123 | ~spl17_13 | spl17_141), 9.51/1.57 inference(avatar_split_clause,[],[f2559,f2555,f166,f2108])). 9.51/1.57 tff(f166,plain,( 9.51/1.57 spl17_13 <=> union(sF7,sF8) = sF9), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_13])])). 9.51/1.57 tff(f2555,plain,( 9.51/1.57 spl17_141 <=> member(sK4,sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_141])])). 9.51/1.57 tff(f2559,plain,( 9.51/1.57 ~member(sK4,sF7) | (~spl17_13 | spl17_141)), 9.51/1.57 inference(resolution,[],[f2556,f218])). 9.51/1.57 tff(f218,plain,( 9.51/1.57 ( ! [X2 : element] : (member(X2,sF9) | ~member(X2,sF7)) ) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f74,f167])). 9.51/1.57 tff(f167,plain,( 9.51/1.57 union(sF7,sF8) = sF9 | ~spl17_13), 9.51/1.57 inference(avatar_component_clause,[],[f166])). 9.51/1.57 tff(f74,plain,( 9.51/1.57 ( ! [X2 : element,X0 : set,X1 : set] : (member(X2,union(X0,X1)) | ~member(X2,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f47])). 9.51/1.57 tff(f2556,plain,( 9.51/1.57 ~member(sK4,sF9) | spl17_141), 9.51/1.57 inference(avatar_component_clause,[],[f2555])). 9.51/1.57 tff(f2557,plain,( 9.51/1.57 spl17_123 | ~spl17_141 | ~spl17_13 | spl17_122), 9.51/1.57 inference(avatar_split_clause,[],[f2106,f2103,f166,f2555,f2108])). 9.51/1.57 tff(f2103,plain,( 9.51/1.57 spl17_122 <=> member(sK4,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_122])])). 9.51/1.57 tff(f2106,plain,( 9.51/1.57 ~member(sK4,sF9) | member(sK4,sF7) | (~spl17_13 | spl17_122)), 9.51/1.57 inference(resolution,[],[f2104,f339])). 9.51/1.57 tff(f339,plain,( 9.51/1.57 ( ! [X2 : element] : (member(X2,sF8) | ~member(X2,sF9) | member(X2,sF7)) ) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f73,f167])). 9.51/1.57 tff(f2104,plain,( 9.51/1.57 ~member(sK4,sF8) | spl17_122), 9.51/1.57 inference(avatar_component_clause,[],[f2103])). 9.51/1.57 tff(f2542,plain,( 9.51/1.57 spl17_55 | ~spl17_12 | ~spl17_56), 9.51/1.57 inference(avatar_split_clause,[],[f2539,f753,f162,f750])). 9.51/1.57 tff(f750,plain,( 9.51/1.57 spl17_55 <=> $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_55])])). 9.51/1.57 tff(f753,plain,( 9.51/1.57 spl17_56 <=> empty_set = intersection(sK1,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_56])])). 9.51/1.57 tff(f2539,plain,( 9.51/1.57 $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF7) | (~spl17_12 | ~spl17_56)), 9.51/1.57 inference(subsumption_resolution,[],[f358,f754])). 9.51/1.57 tff(f754,plain,( 9.51/1.57 empty_set = intersection(sK1,sF6) | ~spl17_56), 9.51/1.57 inference(avatar_component_clause,[],[f753])). 9.51/1.57 tff(f358,plain,( 9.51/1.57 $sum(cardinality(sK1),cardinality(sF6)) = cardinality(sF7) | empty_set != intersection(sK1,sF6) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f72,f163])). 9.51/1.57 tff(f72,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : ($sum(cardinality(X0),cardinality(X1)) = cardinality(union(X0,X1)) | empty_set != intersection(X0,X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f44])). 9.51/1.57 tff(f2538,plain,( 9.51/1.57 spl17_119 | ~spl17_12 | ~spl17_91 | spl17_108), 9.51/1.57 inference(avatar_split_clause,[],[f2508,f1686,f1299,f162,f2062])). 9.51/1.57 tff(f2062,plain,( 9.51/1.57 spl17_119 <=> member(sK5(sF10),sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_119])])). 9.51/1.57 tff(f1299,plain,( 9.51/1.57 spl17_91 <=> member(sK5(sF10),sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_91])])). 9.51/1.57 tff(f1686,plain,( 9.51/1.57 spl17_108 <=> member(sK5(sF10),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_108])])). 9.51/1.57 tff(f2508,plain,( 9.51/1.57 member(sK5(sF10),sK1) | (~spl17_12 | ~spl17_91 | spl17_108)), 9.51/1.57 inference(subsumption_resolution,[],[f2507,f1300])). 9.51/1.57 tff(f1300,plain,( 9.51/1.57 member(sK5(sF10),sF7) | ~spl17_91), 9.51/1.57 inference(avatar_component_clause,[],[f1299])). 9.51/1.57 tff(f2507,plain,( 9.51/1.57 ~member(sK5(sF10),sF7) | member(sK5(sF10),sK1) | (~spl17_12 | spl17_108)), 9.51/1.57 inference(resolution,[],[f2057,f338])). 9.51/1.57 tff(f338,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF6) | ~member(X1,sF7) | member(X1,sK1)) ) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f73,f163])). 9.51/1.57 tff(f2057,plain,( 9.51/1.57 ~member(sK5(sF10),sF6) | spl17_108), 9.51/1.57 inference(avatar_component_clause,[],[f1686])). 9.51/1.57 tff(f2536,plain,( 9.51/1.57 ~spl17_140 | spl17_61 | ~spl17_77), 9.51/1.57 inference(avatar_split_clause,[],[f2515,f907,f784,f2534])). 9.51/1.57 tff(f2515,plain,( 9.51/1.57 $sum($sum(sF15,cardinality(sF6)),cardinality(sF8)) != cardinality(sF11) | (spl17_61 | ~spl17_77)), 9.51/1.57 inference(forward_demodulation,[],[f785,f908])). 9.51/1.57 tff(f785,plain,( 9.51/1.57 $sum(cardinality(sF10),cardinality(sF8)) != cardinality(sF11) | spl17_61), 9.51/1.57 inference(avatar_component_clause,[],[f784])). 9.51/1.57 tff(f2532,plain,( 9.51/1.57 spl17_22 | spl17_139 | ~spl17_138), 9.51/1.57 inference(avatar_split_clause,[],[f2514,f2511,f2530,f222])). 9.51/1.57 tff(f222,plain,( 9.51/1.57 spl17_22 <=> empty_set = sF13), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_22])])). 9.51/1.57 tff(f2530,plain,( 9.51/1.57 spl17_139 <=> member(sK2,sF13)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_139])])). 9.51/1.57 tff(f2511,plain,( 9.51/1.57 spl17_138 <=> sK5(sF13) = sK2), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_138])])). 9.51/1.57 tff(f2514,plain,( 9.51/1.57 member(sK2,sF13) | empty_set = sF13 | ~spl17_138), 9.51/1.57 inference(superposition,[],[f86,f2512])). 9.51/1.57 tff(f2512,plain,( 9.51/1.57 sK5(sF13) = sK2 | ~spl17_138), 9.51/1.57 inference(avatar_component_clause,[],[f2511])). 9.51/1.57 tff(f2513,plain,( 9.51/1.57 spl17_138 | ~spl17_9 | ~spl17_132), 9.51/1.57 inference(avatar_split_clause,[],[f2482,f2304,f150,f2511])). 9.51/1.57 tff(f2304,plain,( 9.51/1.57 spl17_132 <=> member(sK5(sF13),sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_132])])). 9.51/1.57 tff(f2482,plain,( 9.51/1.57 sK5(sF13) = sK2 | (~spl17_9 | ~spl17_132)), 9.51/1.57 inference(resolution,[],[f2305,f211])). 9.51/1.57 tff(f2305,plain,( 9.51/1.57 member(sK5(sF13),sF12) | ~spl17_132), 9.51/1.57 inference(avatar_component_clause,[],[f2304])). 9.51/1.57 tff(f2478,plain,( 9.51/1.57 ~spl17_7 | spl17_45 | spl17_76), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2477])). 9.51/1.57 tff(f2477,plain,( 9.51/1.57 $false | (~spl17_7 | spl17_45 | spl17_76)), 9.51/1.57 inference(subsumption_resolution,[],[f2470,f544])). 9.51/1.57 tff(f544,plain,( 9.51/1.57 ~member(sK4,sK3) | spl17_45), 9.51/1.57 inference(avatar_component_clause,[],[f543])). 9.51/1.57 tff(f543,plain,( 9.51/1.57 spl17_45 <=> member(sK4,sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_45])])). 9.51/1.57 tff(f2470,plain,( 9.51/1.57 member(sK4,sK3) | (~spl17_7 | spl17_76)), 9.51/1.57 inference(trivial_inequality_removal,[],[f2464])). 9.51/1.57 tff(f2464,plain,( 9.51/1.57 member(sK4,sK3) | empty_set != empty_set | (~spl17_7 | spl17_76)), 9.51/1.57 inference(superposition,[],[f905,f1578])). 9.51/1.57 tff(f1578,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,sF6) | member(sK4,X0)) ) | ~spl17_7), 9.51/1.57 inference(duplicate_literal_removal,[],[f1575])). 9.51/1.57 tff(f1575,plain,( 9.51/1.57 ( ! [X0 : set] : (member(sK4,X0) | empty_set = intersection(X0,sF6) | empty_set = intersection(X0,sF6)) ) | ~spl17_7), 9.51/1.57 inference(superposition,[],[f274,f645])). 9.51/1.57 tff(f645,plain,( 9.51/1.57 ( ! [X20 : set] : (sK5(intersection(X20,sF6)) = sK4 | empty_set = intersection(X20,sF6)) ) | ~spl17_7), 9.51/1.57 inference(resolution,[],[f273,f209])). 9.51/1.57 tff(f209,plain,( 9.51/1.57 ( ! [X0 : element] : (~member(X0,sF6) | sK4 = X0) ) | ~spl17_7), 9.51/1.57 inference(superposition,[],[f91,f143])). 9.51/1.57 tff(f143,plain,( 9.51/1.57 singleton(sK4) = sF6 | ~spl17_7), 9.51/1.57 inference(avatar_component_clause,[],[f142])). 9.51/1.57 tff(f142,plain,( 9.51/1.57 spl17_7 <=> singleton(sK4) = sF6), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])). 9.51/1.57 tff(f905,plain,( 9.51/1.57 empty_set != intersection(sK3,sF6) | spl17_76), 9.51/1.57 inference(avatar_component_clause,[],[f904])). 9.51/1.57 tff(f2476,plain,( 9.51/1.57 spl17_1 | ~spl17_7 | spl17_56), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2475])). 9.51/1.57 tff(f2475,plain,( 9.51/1.57 $false | (spl17_1 | ~spl17_7 | spl17_56)), 9.51/1.57 inference(subsumption_resolution,[],[f2471,f119])). 9.51/1.57 tff(f119,plain,( 9.51/1.57 ~member(sK4,sK1) | spl17_1), 9.51/1.57 inference(avatar_component_clause,[],[f118])). 9.51/1.57 tff(f118,plain,( 9.51/1.57 spl17_1 <=> member(sK4,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])). 9.51/1.57 tff(f2471,plain,( 9.51/1.57 member(sK4,sK1) | (~spl17_7 | spl17_56)), 9.51/1.57 inference(trivial_inequality_removal,[],[f2463])). 9.51/1.57 tff(f2463,plain,( 9.51/1.57 empty_set != empty_set | member(sK4,sK1) | (~spl17_7 | spl17_56)), 9.51/1.57 inference(superposition,[],[f806,f1578])). 9.51/1.57 tff(f806,plain,( 9.51/1.57 empty_set != intersection(sK1,sF6) | spl17_56), 9.51/1.57 inference(avatar_component_clause,[],[f753])). 9.51/1.57 tff(f2403,plain,( 9.51/1.57 spl17_137 | ~spl17_7 | ~spl17_13 | ~spl17_123), 9.51/1.57 inference(avatar_split_clause,[],[f2179,f2108,f166,f142,f2401])). 9.51/1.57 tff(f2401,plain,( 9.51/1.57 spl17_137 <=> empty_set = difference(sF6,sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_137])])). 9.51/1.57 tff(f2179,plain,( 9.51/1.57 empty_set = difference(sF6,sF9) | (~spl17_7 | ~spl17_13 | ~spl17_123)), 9.51/1.57 inference(subsumption_resolution,[],[f2176,f2109])). 9.51/1.57 tff(f2109,plain,( 9.51/1.57 member(sK4,sF7) | ~spl17_123), 9.51/1.57 inference(avatar_component_clause,[],[f2108])). 9.51/1.57 tff(f2176,plain,( 9.51/1.57 empty_set = difference(sF6,sF9) | ~member(sK4,sF7) | (~spl17_7 | ~spl17_13)), 9.51/1.57 inference(duplicate_literal_removal,[],[f2172])). 9.51/1.57 tff(f2172,plain,( 9.51/1.57 empty_set = difference(sF6,sF9) | ~member(sK4,sF7) | empty_set = difference(sF6,sF9) | (~spl17_7 | ~spl17_13)), 9.51/1.57 inference(superposition,[],[f604,f633])). 9.51/1.57 tff(f633,plain,( 9.51/1.57 ( ! [X21 : set] : (sK5(difference(sF6,X21)) = sK4 | empty_set = difference(sF6,X21)) ) | ~spl17_7), 9.51/1.57 inference(resolution,[],[f254,f209])). 9.51/1.57 tff(f254,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : (member(sK5(difference(X0,X1)),X0) | empty_set = difference(X0,X1)) )), 9.51/1.57 inference(resolution,[],[f77,f86])). 9.51/1.57 tff(f77,plain,( 9.51/1.57 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,difference(X1,X2)) | member(X0,X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f50])). 9.51/1.57 tff(f50,plain,( 9.51/1.57 ! [X0 : element,X1 : set,X2 : set] : ((member(X0,difference(X1,X2)) | ~member(X0,X1) | member(X0,X2)) & ((member(X0,X1) & ~member(X0,X2)) | ~member(X0,difference(X1,X2))))), 9.51/1.57 inference(rectify,[],[f49])). 9.51/1.57 tff(f49,plain,( 9.51/1.57 ! [X0 : element,X2 : set,X1 : set] : ((member(X0,difference(X2,X1)) | ~member(X0,X2) | member(X0,X1)) & ((member(X0,X2) & ~member(X0,X1)) | ~member(X0,difference(X2,X1))))), 9.51/1.57 inference(flattening,[],[f48])). 9.51/1.57 tff(f48,plain,( 9.51/1.57 ! [X0 : element,X2 : set,X1 : set] : ((member(X0,difference(X2,X1)) | (~member(X0,X2) | member(X0,X1))) & ((member(X0,X2) & ~member(X0,X1)) | ~member(X0,difference(X2,X1))))), 9.51/1.57 inference(nnf_transformation,[],[f35])). 9.51/1.57 tff(f35,plain,( 9.51/1.57 ! [X0 : element,X2 : set,X1 : set] : (member(X0,difference(X2,X1)) <=> (member(X0,X2) & ~member(X0,X1)))), 9.51/1.57 inference(rectify,[],[f13])). 9.51/1.57 tff(f13,axiom,( 9.51/1.57 ! [X2 : element,X1 : set,X9 : set] : ((~member(X2,X1) & member(X2,X9)) <=> member(X2,difference(X9,X1)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference)). 9.51/1.57 tff(f604,plain,( 9.51/1.57 ( ! [X21 : set] : (~member(sK5(difference(X21,sF9)),sF7) | empty_set = difference(X21,sF9)) ) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f252,f218])). 9.51/1.57 tff(f252,plain,( 9.51/1.57 ( ! [X0 : set,X1 : set] : (~member(sK5(difference(X0,X1)),X1) | empty_set = difference(X0,X1)) )), 9.51/1.57 inference(resolution,[],[f76,f86])). 9.51/1.57 tff(f76,plain,( 9.51/1.57 ( ! [X2 : set,X0 : element,X1 : set] : (~member(X0,difference(X1,X2)) | ~member(X0,X2)) )), 9.51/1.57 inference(cnf_transformation,[],[f50])). 9.51/1.57 tff(f2348,plain,( 9.51/1.57 ~spl17_136 | ~spl17_14 | spl17_75 | spl17_85), 9.51/1.57 inference(avatar_split_clause,[],[f2045,f1249,f900,f170,f2346])). 9.51/1.57 tff(f2346,plain,( 9.51/1.57 spl17_136 <=> member(sK5(complement(sF10)),sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_136])])). 9.51/1.57 tff(f900,plain,( 9.51/1.57 spl17_75 <=> member(sK5(complement(sF10)),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_75])])). 9.51/1.57 tff(f1249,plain,( 9.51/1.57 spl17_85 <=> member(sK5(complement(sF10)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_85])])). 9.51/1.57 tff(f2045,plain,( 9.51/1.57 ~member(sK5(complement(sF10)),sF10) | (~spl17_14 | spl17_75 | spl17_85)), 9.51/1.57 inference(subsumption_resolution,[],[f2040,f1250])). 9.51/1.57 tff(f1250,plain,( 9.51/1.57 ~member(sK5(complement(sF10)),sK3) | spl17_85), 9.51/1.57 inference(avatar_component_clause,[],[f1249])). 9.51/1.57 tff(f2040,plain,( 9.51/1.57 member(sK5(complement(sF10)),sK3) | ~member(sK5(complement(sF10)),sF10) | (~spl17_14 | spl17_75)), 9.51/1.57 inference(resolution,[],[f483,f901])). 9.51/1.57 tff(f901,plain,( 9.51/1.57 ~member(sK5(complement(sF10)),sF6) | spl17_75), 9.51/1.57 inference(avatar_component_clause,[],[f900])). 9.51/1.57 tff(f2342,plain,( 9.51/1.57 ~spl17_135 | ~spl17_13 | spl17_68 | spl17_70), 9.51/1.57 inference(avatar_split_clause,[],[f2014,f870,f853,f166,f2340])). 9.51/1.57 tff(f2340,plain,( 9.51/1.57 spl17_135 <=> member(sK5(complement(sF9)),sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_135])])). 9.51/1.57 tff(f853,plain,( 9.51/1.57 spl17_68 <=> member(sK5(complement(sF9)),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_68])])). 9.51/1.57 tff(f870,plain,( 9.51/1.57 spl17_70 <=> member(sK5(complement(sF9)),sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_70])])). 9.51/1.57 tff(f2014,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF9) | (~spl17_13 | spl17_68 | spl17_70)), 9.51/1.57 inference(subsumption_resolution,[],[f2010,f871])). 9.51/1.57 tff(f871,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF7) | spl17_70), 9.51/1.57 inference(avatar_component_clause,[],[f870])). 9.51/1.57 tff(f2010,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF9) | member(sK5(complement(sF9)),sF7) | (~spl17_13 | spl17_68)), 9.51/1.57 inference(resolution,[],[f339,f854])). 9.51/1.57 tff(f854,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF8) | spl17_68), 9.51/1.57 inference(avatar_component_clause,[],[f853])). 9.51/1.57 tff(f2315,plain,( 9.51/1.57 ~spl17_134 | ~spl17_14 | spl17_53 | spl17_64), 9.51/1.57 inference(avatar_split_clause,[],[f2046,f820,f743,f170,f2313])). 9.51/1.57 tff(f2313,plain,( 9.51/1.57 spl17_134 <=> member(sK5(complement(sF7)),sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_134])])). 9.51/1.57 tff(f743,plain,( 9.51/1.57 spl17_53 <=> member(sK5(complement(sF7)),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_53])])). 9.51/1.57 tff(f820,plain,( 9.51/1.57 spl17_64 <=> member(sK5(complement(sF7)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_64])])). 9.51/1.57 tff(f2046,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sF10) | (~spl17_14 | spl17_53 | spl17_64)), 9.51/1.57 inference(subsumption_resolution,[],[f2038,f821])). 9.51/1.57 tff(f821,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sK3) | spl17_64), 9.51/1.57 inference(avatar_component_clause,[],[f820])). 9.51/1.57 tff(f2038,plain,( 9.51/1.57 member(sK5(complement(sF7)),sK3) | ~member(sK5(complement(sF7)),sF10) | (~spl17_14 | spl17_53)), 9.51/1.57 inference(resolution,[],[f483,f744])). 9.51/1.57 tff(f744,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sF6) | spl17_53), 9.51/1.57 inference(avatar_component_clause,[],[f743])). 9.51/1.57 tff(f2310,plain,( 9.51/1.57 ~spl17_133 | ~spl17_14 | spl17_126), 9.51/1.57 inference(avatar_split_clause,[],[f2148,f2143,f170,f2308])). 9.51/1.57 tff(f2308,plain,( 9.51/1.57 spl17_133 <=> member(sK5(complement(sF13)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_133])])). 9.51/1.57 tff(f2143,plain,( 9.51/1.57 spl17_126 <=> member(sK5(complement(sF13)),sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_126])])). 9.51/1.57 tff(f2148,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sK3) | (~spl17_14 | spl17_126)), 9.51/1.57 inference(resolution,[],[f2144,f217])). 9.51/1.57 tff(f217,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF10) | ~member(X1,sK3)) ) | ~spl17_14), 9.51/1.57 inference(superposition,[],[f74,f171])). 9.51/1.57 tff(f2144,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF10) | spl17_126), 9.51/1.57 inference(avatar_component_clause,[],[f2143])). 9.51/1.57 tff(f2306,plain,( 9.51/1.57 spl17_131 | spl17_22 | spl17_132 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f1007,f178,f2304,f222,f2301])). 9.51/1.57 tff(f2301,plain,( 9.51/1.57 spl17_131 <=> member(sK5(sF13),sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_131])])). 9.51/1.57 tff(f178,plain,( 9.51/1.57 spl17_16 <=> sF13 = union(sF11,sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_16])])). 9.51/1.57 tff(f1007,plain,( 9.51/1.57 member(sK5(sF13),sF12) | empty_set = sF13 | member(sK5(sF13),sF11) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f336,f179])). 9.51/1.57 tff(f179,plain,( 9.51/1.57 sF13 = union(sF11,sF12) | ~spl17_16), 9.51/1.57 inference(avatar_component_clause,[],[f178])). 9.51/1.57 tff(f336,plain,( 9.51/1.57 ( ! [X6 : set,X7 : set] : (member(sK5(union(X6,X7)),X7) | member(sK5(union(X6,X7)),X6) | empty_set = union(X6,X7)) )), 9.51/1.57 inference(resolution,[],[f73,f86])). 9.51/1.57 tff(f2297,plain,( 9.51/1.57 ~spl17_130 | ~spl17_14 | spl17_126), 9.51/1.57 inference(avatar_split_clause,[],[f2147,f2143,f170,f2295])). 9.51/1.57 tff(f2295,plain,( 9.51/1.57 spl17_130 <=> member(sK5(complement(sF13)),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_130])])). 9.51/1.57 tff(f2147,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF6) | (~spl17_14 | spl17_126)), 9.51/1.57 inference(resolution,[],[f2144,f247])). 9.51/1.57 tff(f247,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF10) | ~member(X1,sF6)) ) | ~spl17_14), 9.51/1.57 inference(superposition,[],[f75,f171])). 9.51/1.57 tff(f2278,plain,( 9.51/1.57 spl17_129 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f2267,f178,f2276])). 9.51/1.57 tff(f2276,plain,( 9.51/1.57 spl17_129 <=> empty_set = difference(sF11,sF13)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_129])])). 9.51/1.57 tff(f2267,plain,( 9.51/1.57 empty_set = difference(sF11,sF13) | ~spl17_16), 9.51/1.57 inference(duplicate_literal_removal,[],[f2257])). 9.51/1.57 tff(f2257,plain,( 9.51/1.57 empty_set = difference(sF11,sF13) | empty_set = difference(sF11,sF13) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f612,f254])). 9.51/1.57 tff(f612,plain,( 9.51/1.57 ( ! [X29 : set] : (~member(sK5(difference(X29,sF13)),sF11) | empty_set = difference(X29,sF13)) ) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f252,f220])). 9.51/1.57 tff(f220,plain,( 9.51/1.57 ( ! [X4 : element] : (member(X4,sF13) | ~member(X4,sF11)) ) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f74,f179])). 9.51/1.57 tff(f2274,plain,( 9.51/1.57 spl17_128 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f2253,f178,f2272])). 9.51/1.57 tff(f2272,plain,( 9.51/1.57 spl17_128 <=> empty_set = difference(sF12,sF13)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_128])])). 9.51/1.57 tff(f2253,plain,( 9.51/1.57 empty_set = difference(sF12,sF13) | ~spl17_16), 9.51/1.57 inference(duplicate_literal_removal,[],[f2244])). 9.51/1.57 tff(f2244,plain,( 9.51/1.57 empty_set = difference(sF12,sF13) | empty_set = difference(sF12,sF13) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f611,f254])). 9.51/1.57 tff(f611,plain,( 9.51/1.57 ( ! [X28 : set] : (~member(sK5(difference(X28,sF13)),sF12) | empty_set = difference(X28,sF13)) ) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f252,f260])). 9.51/1.57 tff(f260,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF13) | ~member(X0,sF12)) ) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f75,f179])). 9.51/1.57 tff(f2226,plain,( 9.51/1.57 spl17_127 | spl17_66 | ~spl17_120), 9.51/1.57 inference(avatar_split_clause,[],[f2096,f2089,f844,f2224])). 9.51/1.57 tff(f2224,plain,( 9.51/1.57 spl17_127 <=> member(sK4,sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_127])])). 9.51/1.57 tff(f844,plain,( 9.51/1.57 spl17_66 <=> empty_set = sF10), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_66])])). 9.51/1.57 tff(f2089,plain,( 9.51/1.57 spl17_120 <=> sK5(sF10) = sK4), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_120])])). 9.51/1.57 tff(f2096,plain,( 9.51/1.57 empty_set = sF10 | member(sK4,sF10) | ~spl17_120), 9.51/1.57 inference(superposition,[],[f86,f2090])). 9.51/1.57 tff(f2090,plain,( 9.51/1.57 sK5(sF10) = sK4 | ~spl17_120), 9.51/1.57 inference(avatar_component_clause,[],[f2089])). 9.51/1.57 tff(f2145,plain,( 9.51/1.57 ~spl17_126 | ~spl17_15 | spl17_121), 9.51/1.57 inference(avatar_split_clause,[],[f2098,f2093,f174,f2143])). 9.51/1.57 tff(f174,plain,( 9.51/1.57 spl17_15 <=> union(sF10,sF8) = sF11), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_15])])). 9.51/1.57 tff(f2093,plain,( 9.51/1.57 spl17_121 <=> member(sK5(complement(sF13)),sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_121])])). 9.51/1.57 tff(f2098,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF10) | (~spl17_15 | spl17_121)), 9.51/1.57 inference(resolution,[],[f2094,f219])). 9.51/1.57 tff(f219,plain,( 9.51/1.57 ( ! [X3 : element] : (member(X3,sF11) | ~member(X3,sF10)) ) | ~spl17_15), 9.51/1.57 inference(superposition,[],[f74,f175])). 9.51/1.57 tff(f175,plain,( 9.51/1.57 union(sF10,sF8) = sF11 | ~spl17_15), 9.51/1.57 inference(avatar_component_clause,[],[f174])). 9.51/1.57 tff(f2094,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF11) | spl17_121), 9.51/1.57 inference(avatar_component_clause,[],[f2093])). 9.51/1.57 tff(f2140,plain,( 9.51/1.57 ~spl17_125 | ~spl17_15 | spl17_121), 9.51/1.57 inference(avatar_split_clause,[],[f2097,f2093,f174,f2138])). 9.51/1.57 tff(f2138,plain,( 9.51/1.57 spl17_125 <=> member(sK5(complement(sF13)),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_125])])). 9.51/1.57 tff(f2097,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF8) | (~spl17_15 | spl17_121)), 9.51/1.57 inference(resolution,[],[f2094,f249])). 9.51/1.57 tff(f249,plain,( 9.51/1.57 ( ! [X3 : element] : (member(X3,sF11) | ~member(X3,sF8)) ) | ~spl17_15), 9.51/1.57 inference(superposition,[],[f75,f175])). 9.51/1.57 tff(f2136,plain,( 9.51/1.57 ~spl17_124 | spl17_112 | ~spl17_61), 9.51/1.57 inference(avatar_split_clause,[],[f1992,f784,f1734,f2134])). 9.51/1.57 tff(f2134,plain,( 9.51/1.57 spl17_124 <=> 0 = $sum(cardinality(sF10),cardinality(sF8))), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_124])])). 9.51/1.57 tff(f1734,plain,( 9.51/1.57 spl17_112 <=> empty_set = sF11), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_112])])). 9.51/1.57 tff(f1992,plain,( 9.51/1.57 empty_set = sF11 | 0 != $sum(cardinality(sF10),cardinality(sF8)) | ~spl17_61), 9.51/1.57 inference(superposition,[],[f69,f838])). 9.51/1.57 tff(f69,plain,( 9.51/1.57 ( ! [X0 : set] : (0 != cardinality(X0) | empty_set = X0) )), 9.51/1.57 inference(cnf_transformation,[],[f43])). 9.51/1.57 tff(f43,plain,( 9.51/1.57 ! [X0 : set] : ((0 = cardinality(X0) | empty_set != X0) & (empty_set = X0 | 0 != cardinality(X0)))), 9.51/1.57 inference(nnf_transformation,[],[f29])). 9.51/1.57 tff(f29,plain,( 9.51/1.57 ! [X0 : set] : (0 = cardinality(X0) <=> empty_set = X0)), 9.51/1.57 inference(rectify,[],[f4])). 9.51/1.57 tff(f4,axiom,( 9.51/1.57 ! [X3 : set] : (empty_set = X3 <=> cardinality(X3) = 0)), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_empty_set)). 9.51/1.57 tff(f2110,plain,( 9.51/1.57 spl17_123 | ~spl17_7 | ~spl17_91 | ~spl17_108), 9.51/1.57 inference(avatar_split_clause,[],[f2084,f1686,f1299,f142,f2108])). 9.51/1.57 tff(f2084,plain,( 9.51/1.57 member(sK4,sF7) | (~spl17_7 | ~spl17_91 | ~spl17_108)), 9.51/1.57 inference(backward_demodulation,[],[f1300,f2071])). 9.51/1.57 tff(f2071,plain,( 9.51/1.57 sK5(sF10) = sK4 | (~spl17_7 | ~spl17_108)), 9.51/1.57 inference(resolution,[],[f1687,f209])). 9.51/1.57 tff(f1687,plain,( 9.51/1.57 member(sK5(sF10),sF6) | ~spl17_108), 9.51/1.57 inference(avatar_component_clause,[],[f1686])). 9.51/1.57 tff(f2105,plain,( 9.51/1.57 ~spl17_122 | ~spl17_7 | spl17_65 | ~spl17_108), 9.51/1.57 inference(avatar_split_clause,[],[f2087,f1686,f841,f142,f2103])). 9.51/1.57 tff(f841,plain,( 9.51/1.57 spl17_65 <=> member(sK5(sF10),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_65])])). 9.51/1.57 tff(f2087,plain,( 9.51/1.57 ~member(sK4,sF8) | (~spl17_7 | spl17_65 | ~spl17_108)), 9.51/1.57 inference(backward_demodulation,[],[f842,f2071])). 9.51/1.57 tff(f842,plain,( 9.51/1.57 ~member(sK5(sF10),sF8) | spl17_65), 9.51/1.57 inference(avatar_component_clause,[],[f841])). 9.51/1.57 tff(f2100,plain,( 9.51/1.57 ~spl17_114 | ~spl17_60 | ~spl17_113), 9.51/1.57 inference(avatar_split_clause,[],[f2075,f1737,f781,f1740])). 9.51/1.57 tff(f1740,plain,( 9.51/1.57 spl17_114 <=> member(sK5(sF11),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_114])])). 9.51/1.57 tff(f1737,plain,( 9.51/1.57 spl17_113 <=> member(sK5(sF11),sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_113])])). 9.51/1.57 tff(f2075,plain,( 9.51/1.57 ~member(sK5(sF11),sF8) | (~spl17_60 | ~spl17_113)), 9.51/1.57 inference(resolution,[],[f1933,f1738])). 9.51/1.57 tff(f1738,plain,( 9.51/1.57 member(sK5(sF11),sF10) | ~spl17_113), 9.51/1.57 inference(avatar_component_clause,[],[f1737])). 9.51/1.57 tff(f1933,plain,( 9.51/1.57 ( ! [X0 : element] : (~member(X0,sF10) | ~member(X0,sF8)) ) | ~spl17_60), 9.51/1.57 inference(subsumption_resolution,[],[f1928,f101])). 9.51/1.57 tff(f101,plain,( 9.51/1.57 ( ! [X2 : element] : (~member(X2,empty_set)) )), 9.51/1.57 inference(equality_resolution,[],[f85])). 9.51/1.57 tff(f85,plain,( 9.51/1.57 ( ! [X2 : element,X0 : set] : (~member(X2,X0) | empty_set != X0) )), 9.51/1.57 inference(cnf_transformation,[],[f57])). 9.51/1.57 tff(f1928,plain,( 9.51/1.57 ( ! [X0 : element] : (~member(X0,sF10) | ~member(X0,sF8) | member(X0,empty_set)) ) | ~spl17_60), 9.51/1.57 inference(superposition,[],[f97,f782])). 9.51/1.57 tff(f782,plain,( 9.51/1.57 empty_set = intersection(sF10,sF8) | ~spl17_60), 9.51/1.57 inference(avatar_component_clause,[],[f781])). 9.51/1.57 tff(f97,plain,( 9.51/1.57 ( ! [X2 : set,X0 : set,X1 : element] : (member(X1,intersection(X0,X2)) | ~member(X1,X0) | ~member(X1,X2)) )), 9.51/1.57 inference(cnf_transformation,[],[f66])). 9.51/1.57 tff(f2095,plain,( 9.51/1.57 ~spl17_121 | spl17_83 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f430,f178,f1238,f2093])). 9.51/1.57 tff(f1238,plain,( 9.51/1.57 spl17_83 <=> empty_set = complement(sF13)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_83])])). 9.51/1.57 tff(f430,plain,( 9.51/1.57 empty_set = complement(sF13) | ~member(sK5(complement(sF13)),sF11) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f206,f220])). 9.51/1.57 tff(f206,plain,( 9.51/1.57 ( ! [X2 : set] : (~member(sK5(complement(X2)),X2) | empty_set = complement(X2)) )), 9.51/1.57 inference(resolution,[],[f88,f86])). 9.51/1.57 tff(f88,plain,( 9.51/1.57 ( ! [X0 : set,X1 : element] : (~member(X1,complement(X0)) | ~member(X1,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f58])). 9.51/1.57 tff(f58,plain,( 9.51/1.57 ! [X0 : set,X1 : element] : ((~member(X1,complement(X0)) | ~member(X1,X0)) & (member(X1,X0) | member(X1,complement(X0))))), 9.51/1.57 inference(nnf_transformation,[],[f28])). 9.51/1.57 tff(f28,plain,( 9.51/1.57 ! [X0 : set,X1 : element] : (~member(X1,complement(X0)) <=> member(X1,X0))), 9.51/1.57 inference(rectify,[],[f12])). 9.51/1.57 tff(f12,axiom,( 9.51/1.57 ! [X3 : set,X0 : element] : (member(X0,X3) <=> ~member(X0,complement(X3)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement)). 9.51/1.57 tff(f2091,plain,( 9.51/1.57 spl17_120 | ~spl17_7 | ~spl17_108), 9.51/1.57 inference(avatar_split_clause,[],[f2071,f1686,f142,f2089])). 9.51/1.57 tff(f2068,plain,( 9.51/1.57 ~spl17_2 | ~spl17_107 | spl17_119), 9.51/1.57 inference(avatar_contradiction_clause,[],[f2067])). 9.51/1.57 tff(f2067,plain,( 9.51/1.57 $false | (~spl17_2 | ~spl17_107 | spl17_119)), 9.51/1.57 inference(subsumption_resolution,[],[f2066,f1684])). 9.51/1.57 tff(f1684,plain,( 9.51/1.57 member(sK5(sF10),sK3) | ~spl17_107), 9.51/1.57 inference(avatar_component_clause,[],[f1683])). 9.51/1.57 tff(f1683,plain,( 9.51/1.57 spl17_107 <=> member(sK5(sF10),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_107])])). 9.51/1.57 tff(f2066,plain,( 9.51/1.57 ~member(sK5(sF10),sK3) | (~spl17_2 | spl17_119)), 9.51/1.57 inference(resolution,[],[f2063,f467])). 9.51/1.57 tff(f467,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sK1) | ~member(X0,sK3)) ) | ~spl17_2), 9.51/1.57 inference(resolution,[],[f123,f79])). 9.51/1.57 tff(f79,plain,( 9.51/1.57 ( ! [X2 : element,X0 : set,X1 : set] : (~subset(X0,X1) | member(X2,X1) | ~member(X2,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f40])). 9.51/1.57 tff(f40,plain,( 9.51/1.57 ! [X0 : set,X1 : set] : (! [X2 : element] : (~member(X2,X0) | member(X2,X1)) | ~subset(X0,X1))), 9.51/1.57 inference(ennf_transformation,[],[f39])). 9.51/1.57 tff(f39,plain,( 9.51/1.57 ! [X0 : set,X1 : set] : (subset(X0,X1) => ! [X2 : element] : (member(X2,X0) => member(X2,X1)))), 9.51/1.57 inference(unused_predicate_definition_removal,[],[f33])). 9.51/1.57 tff(f33,plain,( 9.51/1.57 ! [X0 : set,X1 : set] : (! [X2 : element] : (member(X2,X0) => member(X2,X1)) <=> subset(X0,X1))), 9.51/1.57 inference(rectify,[],[f3])). 9.51/1.57 tff(f3,axiom,( 9.51/1.57 ! [X1 : set,X2 : set] : (subset(X1,X2) <=> ! [X0 : element] : (member(X0,X1) => member(X0,X2)))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',subset)). 9.51/1.57 tff(f123,plain,( 9.51/1.57 subset(sK3,sK1) | ~spl17_2), 9.51/1.57 inference(avatar_component_clause,[],[f122])). 9.51/1.57 tff(f122,plain,( 9.51/1.57 spl17_2 <=> subset(sK3,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_2])])). 9.51/1.57 tff(f2063,plain,( 9.51/1.57 ~member(sK5(sF10),sK1) | spl17_119), 9.51/1.57 inference(avatar_component_clause,[],[f2062])). 9.51/1.57 tff(f2064,plain,( 9.51/1.57 ~spl17_119 | ~spl17_12 | spl17_91), 9.51/1.57 inference(avatar_split_clause,[],[f2056,f1299,f162,f2062])). 9.51/1.57 tff(f2056,plain,( 9.51/1.57 ~member(sK5(sF10),sK1) | (~spl17_12 | spl17_91)), 9.51/1.57 inference(resolution,[],[f2053,f216])). 9.51/1.57 tff(f216,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF7) | ~member(X0,sK1)) ) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f74,f163])). 9.51/1.57 tff(f2053,plain,( 9.51/1.57 ~member(sK5(sF10),sF7) | spl17_91), 9.51/1.57 inference(avatar_component_clause,[],[f1299])). 9.51/1.57 tff(f2058,plain,( 9.51/1.57 ~spl17_108 | ~spl17_12 | spl17_91), 9.51/1.57 inference(avatar_split_clause,[],[f2055,f1299,f162,f1686])). 9.51/1.57 tff(f2055,plain,( 9.51/1.57 ~member(sK5(sF10),sF6) | (~spl17_12 | spl17_91)), 9.51/1.57 inference(resolution,[],[f2053,f246])). 9.51/1.57 tff(f2054,plain,( 9.51/1.57 ~spl17_91 | ~spl17_13 | spl17_92), 9.51/1.57 inference(avatar_split_clause,[],[f1941,f1302,f166,f1299])). 9.51/1.57 tff(f1302,plain,( 9.51/1.57 spl17_92 <=> member(sK5(sF10),sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_92])])). 9.51/1.57 tff(f1941,plain,( 9.51/1.57 ~member(sK5(sF10),sF7) | (~spl17_13 | spl17_92)), 9.51/1.57 inference(resolution,[],[f218,f1303])). 9.51/1.57 tff(f1303,plain,( 9.51/1.57 ~member(sK5(sF10),sF9) | spl17_92), 9.51/1.57 inference(avatar_component_clause,[],[f1302])). 9.51/1.57 tff(f2051,plain,( 9.51/1.57 spl17_118 | ~spl17_8 | ~spl17_114), 9.51/1.57 inference(avatar_split_clause,[],[f1924,f1740,f146,f2049])). 9.51/1.57 tff(f2049,plain,( 9.51/1.57 spl17_118 <=> sK0 = sK5(sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_118])])). 9.51/1.57 tff(f1924,plain,( 9.51/1.57 sK0 = sK5(sF11) | (~spl17_8 | ~spl17_114)), 9.51/1.57 inference(resolution,[],[f1741,f210])). 9.51/1.57 tff(f1741,plain,( 9.51/1.57 member(sK5(sF11),sF8) | ~spl17_114), 9.51/1.57 inference(avatar_component_clause,[],[f1740])). 9.51/1.57 tff(f2024,plain,( 9.51/1.57 spl17_117 | ~spl17_7 | ~spl17_105), 9.51/1.57 inference(avatar_split_clause,[],[f1917,f1669,f142,f2022])). 9.51/1.57 tff(f2022,plain,( 9.51/1.57 spl17_117 <=> sK5(sF7) = sK4), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_117])])). 9.51/1.57 tff(f1669,plain,( 9.51/1.57 spl17_105 <=> member(sK5(sF7),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_105])])). 9.51/1.57 tff(f1917,plain,( 9.51/1.57 sK5(sF7) = sK4 | (~spl17_7 | ~spl17_105)), 9.51/1.57 inference(resolution,[],[f1670,f209])). 9.51/1.57 tff(f1670,plain,( 9.51/1.57 member(sK5(sF7),sF6) | ~spl17_105), 9.51/1.57 inference(avatar_component_clause,[],[f1669])). 9.51/1.57 tff(f1908,plain,( 9.51/1.57 spl17_42 | ~spl17_115), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1907])). 9.51/1.57 tff(f1907,plain,( 9.51/1.57 $false | (spl17_42 | ~spl17_115)), 9.51/1.57 inference(subsumption_resolution,[],[f1898,f1190])). 9.51/1.57 tff(f1190,plain,( 9.51/1.57 empty_set != sF6 | spl17_42), 9.51/1.57 inference(avatar_component_clause,[],[f441])). 9.51/1.57 tff(f441,plain,( 9.51/1.57 spl17_42 <=> empty_set = sF6), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_42])])). 9.51/1.57 tff(f1898,plain,( 9.51/1.57 empty_set = sF6 | ~spl17_115), 9.51/1.57 inference(resolution,[],[f1877,f86])). 9.51/1.57 tff(f1877,plain,( 9.51/1.57 ( ! [X1 : element] : (~member(X1,sF6)) ) | ~spl17_115), 9.51/1.57 inference(subsumption_resolution,[],[f1875,f101])). 9.51/1.57 tff(f1875,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,empty_set) | ~member(X1,sF6)) ) | ~spl17_115), 9.51/1.57 inference(superposition,[],[f75,f1869])). 9.51/1.57 tff(f1869,plain,( 9.51/1.57 empty_set = union(sK3,sF6) | ~spl17_115), 9.51/1.57 inference(avatar_component_clause,[],[f1868])). 9.51/1.57 tff(f1868,plain,( 9.51/1.57 spl17_115 <=> empty_set = union(sK3,sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_115])])). 9.51/1.57 tff(f1906,plain,( 9.51/1.57 ~spl17_18 | ~spl17_115), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1897])). 9.51/1.57 tff(f1897,plain,( 9.51/1.57 $false | (~spl17_18 | ~spl17_115)), 9.51/1.57 inference(resolution,[],[f1877,f188])). 9.51/1.57 tff(f1885,plain,( 9.51/1.57 spl17_116 | ~spl17_15 | ~spl17_66), 9.51/1.57 inference(avatar_split_clause,[],[f1829,f844,f174,f1883])). 9.51/1.57 tff(f1883,plain,( 9.51/1.57 spl17_116 <=> sF11 = union(empty_set,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_116])])). 9.51/1.57 tff(f1829,plain,( 9.51/1.57 sF11 = union(empty_set,sF8) | (~spl17_15 | ~spl17_66)), 9.51/1.57 inference(forward_demodulation,[],[f175,f845])). 9.51/1.57 tff(f845,plain,( 9.51/1.57 empty_set = sF10 | ~spl17_66), 9.51/1.57 inference(avatar_component_clause,[],[f844])). 9.51/1.57 tff(f1870,plain,( 9.51/1.57 spl17_115 | ~spl17_14 | ~spl17_66), 9.51/1.57 inference(avatar_split_clause,[],[f1792,f844,f170,f1868])). 9.51/1.57 tff(f1792,plain,( 9.51/1.57 empty_set = union(sK3,sF6) | (~spl17_14 | ~spl17_66)), 9.51/1.57 inference(backward_demodulation,[],[f171,f845])). 9.51/1.57 tff(f1859,plain,( 9.51/1.57 ~spl17_13 | spl17_43 | ~spl17_111), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1858])). 9.51/1.57 tff(f1858,plain,( 9.51/1.57 $false | (~spl17_13 | spl17_43 | ~spl17_111)), 9.51/1.57 inference(subsumption_resolution,[],[f1849,f1188])). 9.51/1.57 tff(f1188,plain,( 9.51/1.57 empty_set != sF8 | spl17_43), 9.51/1.57 inference(avatar_component_clause,[],[f451])). 9.51/1.57 tff(f451,plain,( 9.51/1.57 spl17_43 <=> empty_set = sF8), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_43])])). 9.51/1.57 tff(f1849,plain,( 9.51/1.57 empty_set = sF8 | (~spl17_13 | ~spl17_111)), 9.51/1.57 inference(resolution,[],[f1789,f86])). 9.51/1.57 tff(f1789,plain,( 9.51/1.57 ( ! [X2 : element] : (~member(X2,sF8)) ) | (~spl17_13 | ~spl17_111)), 9.51/1.57 inference(subsumption_resolution,[],[f1774,f101])). 9.51/1.57 tff(f1774,plain,( 9.51/1.57 ( ! [X2 : element] : (~member(X2,sF8) | member(X2,empty_set)) ) | (~spl17_13 | ~spl17_111)), 9.51/1.57 inference(backward_demodulation,[],[f248,f1730])). 9.51/1.57 tff(f1730,plain,( 9.51/1.57 empty_set = sF9 | ~spl17_111), 9.51/1.57 inference(avatar_component_clause,[],[f1729])). 9.51/1.57 tff(f1729,plain,( 9.51/1.57 spl17_111 <=> empty_set = sF9), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_111])])). 9.51/1.57 tff(f248,plain,( 9.51/1.57 ( ! [X2 : element] : (member(X2,sF9) | ~member(X2,sF8)) ) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f75,f167])). 9.51/1.57 tff(f1857,plain,( 9.51/1.57 ~spl17_13 | ~spl17_19 | ~spl17_111), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1848])). 9.51/1.57 tff(f1848,plain,( 9.51/1.57 $false | (~spl17_13 | ~spl17_19 | ~spl17_111)), 9.51/1.57 inference(resolution,[],[f1789,f193])). 9.51/1.57 tff(f193,plain,( 9.51/1.57 member(sK0,sF8) | ~spl17_19), 9.51/1.57 inference(avatar_component_clause,[],[f192])). 9.51/1.57 tff(f192,plain,( 9.51/1.57 spl17_19 <=> member(sK0,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_19])])). 9.51/1.57 tff(f1812,plain,( 9.51/1.57 spl17_60 | ~spl17_66), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1811])). 9.51/1.57 tff(f1811,plain,( 9.51/1.57 $false | (spl17_60 | ~spl17_66)), 9.51/1.57 inference(subsumption_resolution,[],[f1803,f705])). 9.51/1.57 tff(f705,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(empty_set,X0)) )), 9.51/1.57 inference(resolution,[],[f274,f101])). 9.51/1.57 tff(f1803,plain,( 9.51/1.57 empty_set != intersection(empty_set,sF8) | (spl17_60 | ~spl17_66)), 9.51/1.57 inference(backward_demodulation,[],[f874,f845])). 9.51/1.57 tff(f1763,plain,( 9.51/1.57 spl17_63 | ~spl17_112), 9.51/1.57 inference(avatar_contradiction_clause,[],[f1762])). 9.51/1.57 tff(f1762,plain,( 9.51/1.57 $false | (spl17_63 | ~spl17_112)), 9.51/1.57 inference(subsumption_resolution,[],[f1755,f705])). 9.51/1.57 tff(f1755,plain,( 9.51/1.57 empty_set != intersection(empty_set,sF12) | (spl17_63 | ~spl17_112)), 9.51/1.57 inference(backward_demodulation,[],[f877,f1735])). 9.51/1.57 tff(f1735,plain,( 9.51/1.57 empty_set = sF11 | ~spl17_112), 9.51/1.57 inference(avatar_component_clause,[],[f1734])). 9.51/1.57 tff(f1742,plain,( 9.51/1.57 spl17_112 | spl17_113 | spl17_114 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f1006,f174,f1740,f1737,f1734])). 9.51/1.57 tff(f1006,plain,( 9.51/1.57 member(sK5(sF11),sF8) | member(sK5(sF11),sF10) | empty_set = sF11 | ~spl17_15), 9.51/1.57 inference(superposition,[],[f336,f175])). 9.51/1.57 tff(f1731,plain,( 9.51/1.57 spl17_109 | spl17_110 | spl17_111 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f1005,f166,f1729,f1726,f1723])). 9.51/1.57 tff(f1723,plain,( 9.51/1.57 spl17_109 <=> member(sK5(sF9),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_109])])). 9.51/1.57 tff(f1726,plain,( 9.51/1.57 spl17_110 <=> member(sK5(sF9),sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_110])])). 9.51/1.57 tff(f1005,plain,( 9.51/1.57 empty_set = sF9 | member(sK5(sF9),sF7) | member(sK5(sF9),sF8) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f336,f167])). 9.51/1.57 tff(f1688,plain,( 9.51/1.57 spl17_66 | spl17_107 | spl17_108 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f1004,f170,f1686,f1683,f844])). 9.51/1.57 tff(f1004,plain,( 9.51/1.57 member(sK5(sF10),sF6) | member(sK5(sF10),sK3) | empty_set = sF10 | ~spl17_14), 9.51/1.57 inference(superposition,[],[f336,f171])). 9.51/1.57 tff(f1674,plain,( 9.51/1.57 spl17_104 | spl17_105 | spl17_106 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f1003,f162,f1672,f1669,f1666])). 9.51/1.57 tff(f1666,plain,( 9.51/1.57 spl17_104 <=> member(sK5(sF7),sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_104])])). 9.51/1.57 tff(f1672,plain,( 9.51/1.57 spl17_106 <=> empty_set = sF7), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_106])])). 9.51/1.57 tff(f1003,plain,( 9.51/1.57 empty_set = sF7 | member(sK5(sF7),sF6) | member(sK5(sF7),sK1) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f336,f163])). 9.51/1.57 tff(f1611,plain,( 9.51/1.57 spl17_103 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f1472,f174,f1609])). 9.51/1.57 tff(f1609,plain,( 9.51/1.57 spl17_103 <=> empty_set = difference(sF10,sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_103])])). 9.51/1.57 tff(f1472,plain,( 9.51/1.57 empty_set = difference(sF10,sF11) | ~spl17_15), 9.51/1.57 inference(duplicate_literal_removal,[],[f1466])). 9.51/1.57 tff(f1466,plain,( 9.51/1.57 empty_set = difference(sF10,sF11) | empty_set = difference(sF10,sF11) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f609,f254])). 9.51/1.57 tff(f609,plain,( 9.51/1.57 ( ! [X26 : set] : (~member(sK5(difference(X26,sF11)),sF10) | empty_set = difference(X26,sF11)) ) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f252,f219])). 9.51/1.57 tff(f1607,plain,( 9.51/1.57 spl17_102 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f1465,f174,f1605])). 9.51/1.57 tff(f1605,plain,( 9.51/1.57 spl17_102 <=> empty_set = difference(sF8,sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_102])])). 9.51/1.57 tff(f1465,plain,( 9.51/1.57 empty_set = difference(sF8,sF11) | ~spl17_15), 9.51/1.57 inference(duplicate_literal_removal,[],[f1461])). 9.51/1.57 tff(f1461,plain,( 9.51/1.57 empty_set = difference(sF8,sF11) | empty_set = difference(sF8,sF11) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f608,f254])). 9.51/1.57 tff(f608,plain,( 9.51/1.57 ( ! [X25 : set] : (~member(sK5(difference(X25,sF11)),sF8) | empty_set = difference(X25,sF11)) ) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f252,f249])). 9.51/1.57 tff(f1603,plain,( 9.51/1.57 spl17_101 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f1460,f170,f1601])). 9.51/1.57 tff(f1601,plain,( 9.51/1.57 spl17_101 <=> empty_set = difference(sK3,sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_101])])). 9.51/1.57 tff(f1460,plain,( 9.51/1.57 empty_set = difference(sK3,sF10) | ~spl17_14), 9.51/1.57 inference(duplicate_literal_removal,[],[f1456])). 9.51/1.57 tff(f1456,plain,( 9.51/1.57 empty_set = difference(sK3,sF10) | empty_set = difference(sK3,sF10) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f607,f254])). 9.51/1.57 tff(f607,plain,( 9.51/1.57 ( ! [X24 : set] : (~member(sK5(difference(X24,sF10)),sK3) | empty_set = difference(X24,sF10)) ) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f252,f217])). 9.51/1.57 tff(f1490,plain,( 9.51/1.57 spl17_100 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f1455,f170,f1488])). 9.51/1.57 tff(f1488,plain,( 9.51/1.57 spl17_100 <=> empty_set = difference(sF6,sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_100])])). 9.51/1.57 tff(f1455,plain,( 9.51/1.57 empty_set = difference(sF6,sF10) | ~spl17_14), 9.51/1.57 inference(duplicate_literal_removal,[],[f1450])). 9.51/1.57 tff(f1450,plain,( 9.51/1.57 empty_set = difference(sF6,sF10) | empty_set = difference(sF6,sF10) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f606,f254])). 9.51/1.57 tff(f606,plain,( 9.51/1.57 ( ! [X23 : set] : (~member(sK5(difference(X23,sF10)),sF6) | empty_set = difference(X23,sF10)) ) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f252,f247])). 9.51/1.57 tff(f1449,plain,( 9.51/1.57 spl17_99 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f1427,f166,f1447])). 9.51/1.57 tff(f1447,plain,( 9.51/1.57 spl17_99 <=> empty_set = difference(sF7,sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_99])])). 9.51/1.57 tff(f1427,plain,( 9.51/1.57 empty_set = difference(sF7,sF9) | ~spl17_13), 9.51/1.57 inference(duplicate_literal_removal,[],[f1421])). 9.51/1.57 tff(f1421,plain,( 9.51/1.57 empty_set = difference(sF7,sF9) | empty_set = difference(sF7,sF9) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f604,f254])). 9.51/1.57 tff(f1438,plain,( 9.51/1.57 spl17_98 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f1416,f166,f1436])). 9.51/1.57 tff(f1436,plain,( 9.51/1.57 spl17_98 <=> empty_set = difference(sF8,sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_98])])). 9.51/1.57 tff(f1416,plain,( 9.51/1.57 empty_set = difference(sF8,sF9) | ~spl17_13), 9.51/1.57 inference(duplicate_literal_removal,[],[f1412])). 9.51/1.57 tff(f1412,plain,( 9.51/1.57 empty_set = difference(sF8,sF9) | empty_set = difference(sF8,sF9) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f603,f254])). 9.51/1.57 tff(f603,plain,( 9.51/1.57 ( ! [X20 : set] : (~member(sK5(difference(X20,sF9)),sF8) | empty_set = difference(X20,sF9)) ) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f252,f248])). 9.51/1.57 tff(f1420,plain,( 9.51/1.57 spl17_97 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f1401,f162,f1418])). 9.51/1.57 tff(f1418,plain,( 9.51/1.57 spl17_97 <=> empty_set = difference(sK1,sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_97])])). 9.51/1.57 tff(f1401,plain,( 9.51/1.57 empty_set = difference(sK1,sF7) | ~spl17_12), 9.51/1.57 inference(duplicate_literal_removal,[],[f1396])). 9.51/1.57 tff(f1396,plain,( 9.51/1.57 empty_set = difference(sK1,sF7) | empty_set = difference(sK1,sF7) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f601,f254])). 9.51/1.57 tff(f601,plain,( 9.51/1.57 ( ! [X18 : set] : (~member(sK5(difference(X18,sF7)),sK1) | empty_set = difference(X18,sF7)) ) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f252,f216])). 9.51/1.57 tff(f1411,plain,( 9.51/1.57 spl17_96 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f1395,f162,f1409])). 9.51/1.57 tff(f1409,plain,( 9.51/1.57 spl17_96 <=> empty_set = difference(sF6,sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_96])])). 9.51/1.57 tff(f1395,plain,( 9.51/1.57 empty_set = difference(sF6,sF7) | ~spl17_12), 9.51/1.57 inference(duplicate_literal_removal,[],[f1390])). 9.51/1.57 tff(f1390,plain,( 9.51/1.57 empty_set = difference(sF6,sF7) | empty_set = difference(sF6,sF7) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f600,f254])). 9.51/1.57 tff(f600,plain,( 9.51/1.57 ( ! [X17 : set] : (~member(sK5(difference(X17,sF7)),sF6) | empty_set = difference(X17,sF7)) ) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f252,f246])). 9.51/1.57 tff(f1389,plain,( 9.51/1.57 spl17_95 | ~spl17_2), 9.51/1.57 inference(avatar_split_clause,[],[f1385,f122,f1387])). 9.51/1.57 tff(f1387,plain,( 9.51/1.57 spl17_95 <=> empty_set = difference(sK3,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_95])])). 9.51/1.57 tff(f1385,plain,( 9.51/1.57 empty_set = difference(sK3,sK1) | ~spl17_2), 9.51/1.57 inference(duplicate_literal_removal,[],[f1381])). 9.51/1.57 tff(f1381,plain,( 9.51/1.57 empty_set = difference(sK3,sK1) | empty_set = difference(sK3,sK1) | ~spl17_2), 9.51/1.57 inference(resolution,[],[f597,f254])). 9.51/1.57 tff(f597,plain,( 9.51/1.57 ( ! [X14 : set] : (~member(sK5(difference(X14,sK1)),sK3) | empty_set = difference(X14,sK1)) ) | ~spl17_2), 9.51/1.57 inference(resolution,[],[f252,f467])). 9.51/1.57 tff(f1369,plain,( 9.51/1.57 spl17_94), 9.51/1.57 inference(avatar_split_clause,[],[f1357,f1354])). 9.51/1.57 tff(f1354,plain,( 9.51/1.57 spl17_94 <=> empty_set = union(empty_set,empty_set)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_94])])). 9.51/1.57 tff(f1357,plain,( 9.51/1.57 empty_set = union(empty_set,empty_set)), 9.51/1.57 inference(resolution,[],[f1002,f101])). 9.51/1.57 tff(f1002,plain,( 9.51/1.57 ( ! [X0 : set] : (member(sK5(union(X0,X0)),X0) | empty_set = union(X0,X0)) )), 9.51/1.57 inference(factoring,[],[f336])). 9.51/1.57 tff(f1356,plain,( 9.51/1.57 spl17_94), 9.51/1.57 inference(avatar_split_clause,[],[f1341,f1354])). 9.51/1.57 tff(f1341,plain,( 9.51/1.57 empty_set = union(empty_set,empty_set)), 9.51/1.57 inference(resolution,[],[f991,f101])). 9.51/1.57 tff(f991,plain,( 9.51/1.57 ( ! [X0 : set] : (member(sK5(union(X0,empty_set)),X0) | empty_set = union(X0,empty_set)) )), 9.51/1.57 inference(resolution,[],[f336,f101])). 9.51/1.57 tff(f1340,plain,( 9.51/1.57 spl17_93 | ~spl17_9 | ~spl17_16 | ~spl17_83 | spl17_86), 9.51/1.57 inference(avatar_split_clause,[],[f1319,f1260,f1238,f178,f150,f1338])). 9.51/1.57 tff(f1338,plain,( 9.51/1.57 spl17_93 <=> sK5(complement(sF11)) = sK2), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_93])])). 9.51/1.57 tff(f1260,plain,( 9.51/1.57 spl17_86 <=> member(sK5(complement(sF11)),sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_86])])). 9.51/1.57 tff(f1319,plain,( 9.51/1.57 sK5(complement(sF11)) = sK2 | (~spl17_9 | ~spl17_16 | ~spl17_83 | spl17_86)), 9.51/1.57 inference(resolution,[],[f1317,f1261])). 9.51/1.57 tff(f1261,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF11) | spl17_86), 9.51/1.57 inference(avatar_component_clause,[],[f1260])). 9.51/1.57 tff(f1317,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF11) | sK2 = X0) ) | (~spl17_9 | ~spl17_16 | ~spl17_83)), 9.51/1.57 inference(subsumption_resolution,[],[f570,f1247])). 9.51/1.57 tff(f1247,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF13)) ) | ~spl17_83), 9.51/1.57 inference(subsumption_resolution,[],[f1246,f101])). 9.51/1.57 tff(f1246,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,empty_set) | member(X1,sF13)) ) | ~spl17_83), 9.51/1.57 inference(superposition,[],[f87,f1239])). 9.51/1.57 tff(f1239,plain,( 9.51/1.57 empty_set = complement(sF13) | ~spl17_83), 9.51/1.57 inference(avatar_component_clause,[],[f1238])). 9.51/1.57 tff(f87,plain,( 9.51/1.57 ( ! [X0 : set,X1 : element] : (member(X1,complement(X0)) | member(X1,X0)) )), 9.51/1.57 inference(cnf_transformation,[],[f58])). 9.51/1.57 tff(f570,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF11) | ~member(X0,sF13) | sK2 = X0) ) | (~spl17_9 | ~spl17_16)), 9.51/1.57 inference(resolution,[],[f341,f211])). 9.51/1.57 tff(f341,plain,( 9.51/1.57 ( ! [X4 : element] : (member(X4,sF12) | ~member(X4,sF13) | member(X4,sF11)) ) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f73,f179])). 9.51/1.57 tff(f1304,plain,( 9.51/1.57 spl17_91 | ~spl17_92 | ~spl17_13 | spl17_65), 9.51/1.57 inference(avatar_split_clause,[],[f847,f841,f166,f1302,f1299])). 9.51/1.57 tff(f847,plain,( 9.51/1.57 ~member(sK5(sF10),sF9) | member(sK5(sF10),sF7) | (~spl17_13 | spl17_65)), 9.51/1.57 inference(resolution,[],[f842,f339])). 9.51/1.57 tff(f1292,plain,( 9.51/1.57 spl17_90), 9.51/1.57 inference(avatar_split_clause,[],[f1277,f1290])). 9.51/1.57 tff(f1290,plain,( 9.51/1.57 spl17_90 <=> empty_set = complement(complement(empty_set))), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_90])])). 9.51/1.57 tff(f1277,plain,( 9.51/1.57 empty_set = complement(complement(empty_set))), 9.51/1.57 inference(resolution,[],[f420,f101])). 9.51/1.57 tff(f420,plain,( 9.51/1.57 ( ! [X8 : set] : (member(sK5(complement(complement(X8))),X8) | empty_set = complement(complement(X8))) )), 9.51/1.57 inference(resolution,[],[f206,f87])). 9.51/1.57 tff(f1276,plain,( 9.51/1.57 spl17_89 | ~spl17_6 | ~spl17_9), 9.51/1.57 inference(avatar_split_clause,[],[f1075,f150,f138,f1274])). 9.51/1.57 tff(f1274,plain,( 9.51/1.57 spl17_89 <=> 1 = $sum(cardinality(sF12),0)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_89])])). 9.51/1.57 tff(f138,plain,( 9.51/1.57 spl17_6 <=> 0 = cardinality(empty_set)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])). 9.51/1.57 tff(f1075,plain,( 9.51/1.57 1 = $sum(cardinality(sF12),0) | (~spl17_6 | ~spl17_9)), 9.51/1.57 inference(superposition,[],[f1072,f151])). 9.51/1.57 tff(f1072,plain,( 9.51/1.57 ( ! [X0 : element] : (1 = $sum(cardinality(singleton(X0)),0)) ) | ~spl17_6), 9.51/1.57 inference(subsumption_resolution,[],[f1071,f637])). 9.51/1.57 tff(f637,plain,( 9.51/1.57 ( ! [X0 : set] : (empty_set = intersection(X0,empty_set)) )), 9.51/1.57 inference(resolution,[],[f273,f101])). 9.51/1.57 tff(f1071,plain,( 9.51/1.57 ( ! [X0 : element] : (1 = $sum(cardinality(singleton(X0)),0) | empty_set != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 9.51/1.57 inference(evaluation,[],[f1050])). 9.51/1.57 tff(f1050,plain,( 9.51/1.57 ( ! [X0 : element] : ($sum(0,1) = $sum(cardinality(singleton(X0)),0) | empty_set != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 9.51/1.57 inference(superposition,[],[f392,f139])). 9.51/1.57 tff(f139,plain,( 9.51/1.57 0 = cardinality(empty_set) | ~spl17_6), 9.51/1.57 inference(avatar_component_clause,[],[f138])). 9.51/1.57 tff(f392,plain,( 9.51/1.57 ( ! [X4 : element,X5 : set] : ($sum(cardinality(singleton(X4)),cardinality(X5)) = $sum(cardinality(X5),1) | empty_set != intersection(singleton(X4),X5)) )), 9.51/1.57 inference(duplicate_literal_removal,[],[f386])). 9.51/1.57 tff(f386,plain,( 9.51/1.57 ( ! [X4 : element,X5 : set] : (empty_set != intersection(singleton(X4),X5) | empty_set != intersection(singleton(X4),X5) | $sum(cardinality(singleton(X4)),cardinality(X5)) = $sum(cardinality(X5),1)) )), 9.51/1.57 inference(superposition,[],[f93,f72])). 9.51/1.57 tff(f93,plain,( 9.51/1.57 ( ! [X0 : element,X1 : set] : (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f63])). 9.51/1.57 tff(f63,plain,( 9.51/1.57 ! [X0 : element,X1 : set] : ((empty_set = intersection(singleton(X0),X1) | cardinality(union(singleton(X0),X1)) != $sum(cardinality(X1),1)) & (cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1) | empty_set != intersection(singleton(X0),X1)))), 9.51/1.57 inference(nnf_transformation,[],[f31])). 9.51/1.57 tff(f31,plain,( 9.51/1.57 ! [X0 : element,X1 : set] : (empty_set = intersection(singleton(X0),X1) <=> cardinality(union(singleton(X0),X1)) = $sum(cardinality(X1),1))), 9.51/1.57 inference(rectify,[],[f2])). 9.51/1.57 tff(f2,axiom,( 9.51/1.57 ! [X0 : element,X3 : set] : (cardinality(union(singleton(X0),X3)) = $sum(cardinality(X3),1) <=> intersection(singleton(X0),X3) = empty_set)), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_intersection_2)). 9.51/1.57 tff(f1272,plain,( 9.51/1.57 spl17_88 | ~spl17_6 | ~spl17_7), 9.51/1.57 inference(avatar_split_clause,[],[f1074,f142,f138,f1270])). 9.51/1.57 tff(f1270,plain,( 9.51/1.57 spl17_88 <=> 1 = $sum(cardinality(sF6),0)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_88])])). 9.51/1.57 tff(f1074,plain,( 9.51/1.57 1 = $sum(cardinality(sF6),0) | (~spl17_6 | ~spl17_7)), 9.51/1.57 inference(superposition,[],[f1072,f143])). 9.51/1.57 tff(f1268,plain,( 9.51/1.57 spl17_87 | ~spl17_6 | ~spl17_8), 9.51/1.57 inference(avatar_split_clause,[],[f1073,f146,f138,f1266])). 9.51/1.57 tff(f1266,plain,( 9.51/1.57 spl17_87 <=> 1 = $sum(cardinality(sF8),0)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_87])])). 9.51/1.57 tff(f1073,plain,( 9.51/1.57 1 = $sum(cardinality(sF8),0) | (~spl17_6 | ~spl17_8)), 9.51/1.57 inference(superposition,[],[f1072,f147])). 9.51/1.57 tff(f1262,plain,( 9.51/1.57 ~spl17_86 | ~spl17_15 | spl17_78 | spl17_80), 9.51/1.57 inference(avatar_split_clause,[],[f986,f961,f926,f174,f1260])). 9.51/1.57 tff(f926,plain,( 9.51/1.57 spl17_78 <=> member(sK5(complement(sF11)),sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_78])])). 9.51/1.57 tff(f961,plain,( 9.51/1.57 spl17_80 <=> member(sK5(complement(sF11)),sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_80])])). 9.51/1.57 tff(f986,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF11) | (~spl17_15 | spl17_78 | spl17_80)), 9.51/1.57 inference(subsumption_resolution,[],[f983,f927])). 9.51/1.57 tff(f927,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF8) | spl17_78), 9.51/1.57 inference(avatar_component_clause,[],[f926])). 9.51/1.57 tff(f983,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF11) | member(sK5(complement(sF11)),sF8) | (~spl17_15 | spl17_80)), 9.51/1.57 inference(resolution,[],[f962,f340])). 9.51/1.57 tff(f340,plain,( 9.51/1.57 ( ! [X3 : element] : (member(X3,sF10) | member(X3,sF8) | ~member(X3,sF11)) ) | ~spl17_15), 9.51/1.57 inference(superposition,[],[f73,f175])). 9.51/1.57 tff(f962,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF10) | spl17_80), 9.51/1.57 inference(avatar_component_clause,[],[f961])). 9.51/1.57 tff(f1251,plain,( 9.51/1.57 ~spl17_85 | spl17_74 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f535,f170,f897,f1249])). 9.51/1.57 tff(f897,plain,( 9.51/1.57 spl17_74 <=> empty_set = complement(sF10)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_74])])). 9.51/1.57 tff(f535,plain,( 9.51/1.57 empty_set = complement(sF10) | ~member(sK5(complement(sF10)),sK3) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f217,f206])). 9.51/1.57 tff(f1243,plain,( 9.51/1.57 spl17_83 | ~spl17_84 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f429,f178,f1241,f1238])). 9.51/1.57 tff(f1241,plain,( 9.51/1.57 spl17_84 <=> member(sK5(complement(sF13)),sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_84])])). 9.51/1.57 tff(f429,plain,( 9.51/1.57 ~member(sK5(complement(sF13)),sF12) | empty_set = complement(sF13) | ~spl17_16), 9.51/1.57 inference(resolution,[],[f206,f260])). 9.51/1.57 tff(f1193,plain,( 9.51/1.57 ~spl17_50 | ~spl17_6 | ~spl17_9), 9.51/1.57 inference(avatar_split_clause,[],[f1139,f150,f138,f582])). 9.51/1.57 tff(f582,plain,( 9.51/1.57 spl17_50 <=> empty_set = sF12), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_50])])). 9.51/1.57 tff(f1139,plain,( 9.51/1.57 empty_set != sF12 | (~spl17_6 | ~spl17_9)), 9.51/1.57 inference(superposition,[],[f1119,f151])). 9.51/1.57 tff(f1119,plain,( 9.51/1.57 ( ! [X0 : element] : (singleton(X0) != empty_set) ) | ~spl17_6), 9.51/1.57 inference(forward_demodulation,[],[f1118,f637])). 9.51/1.57 tff(f1118,plain,( 9.51/1.57 ( ! [X0 : element] : (singleton(X0) != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 9.51/1.57 inference(subsumption_resolution,[],[f1112,f637])). 9.51/1.57 tff(f1112,plain,( 9.51/1.57 ( ! [X0 : element] : (empty_set != intersection(singleton(X0),empty_set) | singleton(X0) != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 9.51/1.57 inference(evaluation,[],[f1097])). 9.51/1.57 tff(f1097,plain,( 9.51/1.57 ( ! [X0 : element] : (0 = $sum(0,1) | singleton(X0) != intersection(singleton(X0),empty_set) | empty_set != intersection(singleton(X0),empty_set)) ) | ~spl17_6), 9.51/1.57 inference(superposition,[],[f385,f139])). 9.51/1.57 tff(f385,plain,( 9.51/1.57 ( ! [X2 : element,X3 : set] : (cardinality(X3) = $sum(cardinality(X3),1) | intersection(singleton(X2),X3) != singleton(X2) | empty_set != intersection(singleton(X2),X3)) )), 9.51/1.57 inference(superposition,[],[f93,f98])). 9.51/1.57 tff(f98,plain,( 9.51/1.57 ( ! [X0 : element,X1 : set] : (cardinality(X1) = cardinality(union(singleton(X0),X1)) | singleton(X0) != intersection(singleton(X0),X1)) )), 9.51/1.57 inference(cnf_transformation,[],[f68])). 9.51/1.57 tff(f68,plain,( 9.51/1.57 ! [X0 : element,X1 : set] : ((singleton(X0) = intersection(singleton(X0),X1) | cardinality(X1) != cardinality(union(singleton(X0),X1))) & (cardinality(X1) = cardinality(union(singleton(X0),X1)) | singleton(X0) != intersection(singleton(X0),X1)))), 9.51/1.57 inference(rectify,[],[f67])). 9.51/1.57 tff(f67,plain,( 9.51/1.57 ! [X1 : element,X0 : set] : ((singleton(X1) = intersection(singleton(X1),X0) | cardinality(X0) != cardinality(union(singleton(X1),X0))) & (cardinality(X0) = cardinality(union(singleton(X1),X0)) | singleton(X1) != intersection(singleton(X1),X0)))), 9.51/1.57 inference(nnf_transformation,[],[f30])). 9.51/1.57 tff(f30,plain,( 9.51/1.57 ! [X1 : element,X0 : set] : (singleton(X1) = intersection(singleton(X1),X0) <=> cardinality(X0) = cardinality(union(singleton(X1),X0)))), 9.51/1.57 inference(rectify,[],[f11])). 9.51/1.57 tff(f11,axiom,( 9.51/1.57 ! [X3 : set,X0 : element] : (cardinality(union(singleton(X0),X3)) = cardinality(X3) <=> singleton(X0) = intersection(singleton(X0),X3))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinality_intersection_1)). 9.51/1.57 tff(f1191,plain,( 9.51/1.57 ~spl17_42 | ~spl17_6 | ~spl17_7), 9.51/1.57 inference(avatar_split_clause,[],[f1138,f142,f138,f441])). 9.51/1.57 tff(f1138,plain,( 9.51/1.57 empty_set != sF6 | (~spl17_6 | ~spl17_7)), 9.51/1.57 inference(superposition,[],[f1119,f143])). 9.51/1.57 tff(f1189,plain,( 9.51/1.57 ~spl17_43 | ~spl17_6 | ~spl17_8), 9.51/1.57 inference(avatar_split_clause,[],[f1137,f146,f138,f451])). 9.51/1.57 tff(f1137,plain,( 9.51/1.57 empty_set != sF8 | (~spl17_6 | ~spl17_8)), 9.51/1.57 inference(superposition,[],[f1119,f147])). 9.51/1.57 tff(f1013,plain,( 9.51/1.57 ~spl17_82 | ~spl17_14 | spl17_80), 9.51/1.57 inference(avatar_split_clause,[],[f985,f961,f170,f1011])). 9.51/1.57 tff(f1011,plain,( 9.51/1.57 spl17_82 <=> member(sK5(complement(sF11)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_82])])). 9.51/1.57 tff(f985,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sK3) | (~spl17_14 | spl17_80)), 9.51/1.57 inference(resolution,[],[f962,f217])). 9.51/1.57 tff(f990,plain,( 9.51/1.57 ~spl17_81 | ~spl17_14 | spl17_80), 9.51/1.57 inference(avatar_split_clause,[],[f984,f961,f170,f988])). 9.51/1.57 tff(f988,plain,( 9.51/1.57 spl17_81 <=> member(sK5(complement(sF11)),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_81])])). 9.51/1.57 tff(f984,plain,( 9.51/1.57 ~member(sK5(complement(sF11)),sF6) | (~spl17_14 | spl17_80)), 9.51/1.57 inference(resolution,[],[f962,f247])). 9.51/1.57 tff(f972,plain,( 9.51/1.57 spl17_48 | ~spl17_79), 9.51/1.57 inference(avatar_contradiction_clause,[],[f969])). 9.51/1.57 tff(f969,plain,( 9.51/1.57 $false | (spl17_48 | ~spl17_79)), 9.51/1.57 inference(resolution,[],[f968,f574])). 9.51/1.57 tff(f968,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF11)) ) | ~spl17_79), 9.51/1.57 inference(subsumption_resolution,[],[f967,f101])). 9.51/1.57 tff(f967,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,empty_set) | member(X1,sF11)) ) | ~spl17_79), 9.51/1.57 inference(superposition,[],[f87,f930])). 9.51/1.57 tff(f930,plain,( 9.51/1.57 empty_set = complement(sF11) | ~spl17_79), 9.51/1.57 inference(avatar_component_clause,[],[f929])). 9.51/1.57 tff(f929,plain,( 9.51/1.57 spl17_79 <=> empty_set = complement(sF11)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_79])])). 9.51/1.57 tff(f963,plain,( 9.51/1.57 ~spl17_80 | spl17_79 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f428,f174,f929,f961])). 9.51/1.57 tff(f428,plain,( 9.51/1.57 empty_set = complement(sF11) | ~member(sK5(complement(sF11)),sF10) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f206,f219])). 9.51/1.57 tff(f931,plain,( 9.51/1.57 ~spl17_78 | spl17_79 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f427,f174,f929,f926])). 9.51/1.57 tff(f427,plain,( 9.51/1.57 empty_set = complement(sF11) | ~member(sK5(complement(sF11)),sF8) | ~spl17_15), 9.51/1.57 inference(resolution,[],[f206,f249])). 9.51/1.57 tff(f924,plain,( 9.51/1.57 ~spl17_77 | ~spl17_11 | ~spl17_14 | spl17_76), 9.51/1.57 inference(avatar_split_clause,[],[f920,f904,f170,f158,f907])). 9.51/1.57 tff(f920,plain,( 9.51/1.57 $sum(sF15,cardinality(sF6)) != cardinality(sF10) | (~spl17_11 | ~spl17_14 | spl17_76)), 9.51/1.57 inference(subsumption_resolution,[],[f487,f905])). 9.51/1.57 tff(f919,plain,( 9.51/1.57 spl17_39 | ~spl17_74), 9.51/1.57 inference(avatar_contradiction_clause,[],[f914])). 9.51/1.57 tff(f914,plain,( 9.51/1.57 $false | (spl17_39 | ~spl17_74)), 9.51/1.57 inference(resolution,[],[f913,f414])). 9.51/1.57 tff(f913,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF10)) ) | ~spl17_74), 9.51/1.57 inference(subsumption_resolution,[],[f912,f101])). 9.51/1.57 tff(f912,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF10) | member(X1,empty_set)) ) | ~spl17_74), 9.51/1.57 inference(superposition,[],[f87,f898])). 9.51/1.57 tff(f898,plain,( 9.51/1.57 empty_set = complement(sF10) | ~spl17_74), 9.51/1.57 inference(avatar_component_clause,[],[f897])). 9.51/1.57 tff(f918,plain,( 9.51/1.57 spl17_40 | ~spl17_74), 9.51/1.57 inference(avatar_contradiction_clause,[],[f915])). 9.51/1.57 tff(f915,plain,( 9.51/1.57 $false | (spl17_40 | ~spl17_74)), 9.51/1.57 inference(resolution,[],[f913,f434])). 9.51/1.57 tff(f434,plain,( 9.51/1.57 ~member(sK2,sF10) | spl17_40), 9.51/1.57 inference(avatar_component_clause,[],[f433])). 9.51/1.57 tff(f909,plain,( 9.51/1.57 ~spl17_76 | spl17_77 | ~spl17_11 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f486,f170,f158,f907,f904])). 9.51/1.57 tff(f486,plain,( 9.51/1.57 $sum(sF15,cardinality(sF6)) = cardinality(sF10) | empty_set != intersection(sK3,sF6) | (~spl17_11 | ~spl17_14)), 9.51/1.57 inference(forward_demodulation,[],[f481,f159])). 9.51/1.57 tff(f481,plain,( 9.51/1.57 empty_set != intersection(sK3,sF6) | $sum(cardinality(sK3),cardinality(sF6)) = cardinality(sF10) | ~spl17_14), 9.51/1.57 inference(superposition,[],[f72,f171])). 9.51/1.57 tff(f902,plain,( 9.51/1.57 spl17_74 | ~spl17_75 | ~spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f426,f170,f900,f897])). 9.51/1.57 tff(f426,plain,( 9.51/1.57 ~member(sK5(complement(sF10)),sF6) | empty_set = complement(sF10) | ~spl17_14), 9.51/1.57 inference(resolution,[],[f206,f247])). 9.51/1.57 tff(f895,plain,( 9.51/1.57 ~spl17_73 | ~spl17_2 | spl17_72), 9.51/1.57 inference(avatar_split_clause,[],[f891,f888,f122,f893])). 9.51/1.57 tff(f893,plain,( 9.51/1.57 spl17_73 <=> member(sK5(complement(sF9)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_73])])). 9.51/1.57 tff(f888,plain,( 9.51/1.57 spl17_72 <=> member(sK5(complement(sF9)),sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_72])])). 9.51/1.57 tff(f891,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sK3) | (~spl17_2 | spl17_72)), 9.51/1.57 inference(resolution,[],[f889,f467])). 9.51/1.57 tff(f889,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sK1) | spl17_72), 9.51/1.57 inference(avatar_component_clause,[],[f888])). 9.51/1.57 tff(f890,plain,( 9.51/1.57 ~spl17_72 | ~spl17_12 | spl17_70), 9.51/1.57 inference(avatar_split_clause,[],[f880,f870,f162,f888])). 9.51/1.57 tff(f880,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sK1) | (~spl17_12 | spl17_70)), 9.51/1.57 inference(resolution,[],[f871,f216])). 9.51/1.57 tff(f884,plain,( 9.51/1.57 ~spl17_71 | ~spl17_12 | spl17_70), 9.51/1.57 inference(avatar_split_clause,[],[f879,f870,f162,f882])). 9.51/1.57 tff(f882,plain,( 9.51/1.57 spl17_71 <=> member(sK5(complement(sF9)),sF6)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_71])])). 9.51/1.57 tff(f879,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF6) | (~spl17_12 | spl17_70)), 9.51/1.57 inference(resolution,[],[f871,f246])). 9.51/1.57 tff(f878,plain,( 9.51/1.57 ~spl17_63 | ~spl17_10 | ~spl17_16 | spl17_62), 9.51/1.57 inference(avatar_split_clause,[],[f876,f796,f178,f154,f799])). 9.51/1.57 tff(f154,plain,( 9.51/1.57 spl17_10 <=> cardinality(sF13) = sF14), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_10])])). 9.51/1.57 tff(f796,plain,( 9.51/1.57 spl17_62 <=> $sum(cardinality(sF11),cardinality(sF12)) = sF14), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_62])])). 9.51/1.57 tff(f876,plain,( 9.51/1.57 empty_set != intersection(sF11,sF12) | (~spl17_10 | ~spl17_16 | spl17_62)), 9.51/1.57 inference(subsumption_resolution,[],[f365,f797])). 9.51/1.57 tff(f797,plain,( 9.51/1.57 $sum(cardinality(sF11),cardinality(sF12)) != sF14 | spl17_62), 9.51/1.57 inference(avatar_component_clause,[],[f796])). 9.51/1.57 tff(f365,plain,( 9.51/1.57 empty_set != intersection(sF11,sF12) | $sum(cardinality(sF11),cardinality(sF12)) = sF14 | (~spl17_10 | ~spl17_16)), 9.51/1.57 inference(forward_demodulation,[],[f361,f155])). 9.51/1.57 tff(f155,plain,( 9.51/1.57 cardinality(sF13) = sF14 | ~spl17_10), 9.51/1.57 inference(avatar_component_clause,[],[f154])). 9.51/1.57 tff(f361,plain,( 9.51/1.57 $sum(cardinality(sF11),cardinality(sF12)) = cardinality(sF13) | empty_set != intersection(sF11,sF12) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f72,f179])). 9.51/1.57 tff(f875,plain,( 9.51/1.57 ~spl17_60 | ~spl17_15 | spl17_61), 9.51/1.57 inference(avatar_split_clause,[],[f873,f784,f174,f781])). 9.51/1.57 tff(f873,plain,( 9.51/1.57 empty_set != intersection(sF10,sF8) | (~spl17_15 | spl17_61)), 9.51/1.57 inference(subsumption_resolution,[],[f360,f785])). 9.51/1.57 tff(f360,plain,( 9.51/1.57 empty_set != intersection(sF10,sF8) | $sum(cardinality(sF10),cardinality(sF8)) = cardinality(sF11) | ~spl17_15), 9.51/1.57 inference(superposition,[],[f72,f175])). 9.51/1.57 tff(f872,plain,( 9.51/1.57 spl17_67 | ~spl17_70 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f425,f166,f870,f850])). 9.51/1.57 tff(f850,plain,( 9.51/1.57 spl17_67 <=> empty_set = complement(sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_67])])). 9.51/1.57 tff(f425,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF7) | empty_set = complement(sF9) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f206,f218])). 9.51/1.57 tff(f867,plain,( 9.51/1.57 spl17_4 | ~spl17_67), 9.51/1.57 inference(avatar_contradiction_clause,[],[f864])). 9.51/1.57 tff(f864,plain,( 9.51/1.57 $false | (spl17_4 | ~spl17_67)), 9.51/1.57 inference(resolution,[],[f863,f131])). 9.51/1.57 tff(f131,plain,( 9.51/1.57 ~member(sK2,sF9) | spl17_4), 9.51/1.57 inference(avatar_component_clause,[],[f130])). 9.51/1.57 tff(f130,plain,( 9.51/1.57 spl17_4 <=> member(sK2,sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_4])])). 9.51/1.57 tff(f863,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF9)) ) | ~spl17_67), 9.51/1.57 inference(subsumption_resolution,[],[f862,f101])). 9.51/1.57 tff(f862,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF9) | member(X1,empty_set)) ) | ~spl17_67), 9.51/1.57 inference(superposition,[],[f87,f851])). 9.51/1.57 tff(f851,plain,( 9.51/1.57 empty_set = complement(sF9) | ~spl17_67), 9.51/1.57 inference(avatar_component_clause,[],[f850])). 9.51/1.57 tff(f859,plain,( 9.51/1.57 ~spl17_69 | ~spl17_15 | ~spl17_60 | spl17_62), 9.51/1.57 inference(avatar_split_clause,[],[f837,f796,f781,f174,f857])). 9.51/1.57 tff(f857,plain,( 9.51/1.57 spl17_69 <=> sF14 = $sum($sum(cardinality(sF10),cardinality(sF8)),cardinality(sF12))), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_69])])). 9.51/1.57 tff(f837,plain,( 9.51/1.57 sF14 != $sum($sum(cardinality(sF10),cardinality(sF8)),cardinality(sF12)) | (~spl17_15 | ~spl17_60 | spl17_62)), 9.51/1.57 inference(backward_demodulation,[],[f797,f818])). 9.51/1.57 tff(f818,plain,( 9.51/1.57 $sum(cardinality(sF10),cardinality(sF8)) = cardinality(sF11) | (~spl17_15 | ~spl17_60)), 9.51/1.57 inference(subsumption_resolution,[],[f360,f782])). 9.51/1.57 tff(f855,plain,( 9.51/1.57 spl17_67 | ~spl17_68 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f424,f166,f853,f850])). 9.51/1.57 tff(f424,plain,( 9.51/1.57 ~member(sK5(complement(sF9)),sF8) | empty_set = complement(sF9) | ~spl17_13), 9.51/1.57 inference(resolution,[],[f206,f248])). 9.51/1.57 tff(f846,plain,( 9.51/1.57 ~spl17_65 | spl17_66 | ~spl17_60), 9.51/1.57 inference(avatar_split_clause,[],[f814,f781,f844,f841])). 9.51/1.57 tff(f814,plain,( 9.51/1.57 empty_set = sF10 | ~member(sK5(sF10),sF8) | ~spl17_60), 9.51/1.57 inference(resolution,[],[f794,f86])). 9.51/1.57 tff(f794,plain,( 9.51/1.57 ( ! [X0 : element] : (~member(X0,sF10) | ~member(X0,sF8)) ) | ~spl17_60), 9.51/1.57 inference(subsumption_resolution,[],[f789,f101])). 9.51/1.57 tff(f789,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF10) | ~member(X0,sF8)) ) | ~spl17_60), 9.51/1.57 inference(superposition,[],[f97,f782])). 9.51/1.57 tff(f839,plain,( 9.51/1.57 spl17_61 | ~spl17_15 | ~spl17_60), 9.51/1.57 inference(avatar_split_clause,[],[f818,f781,f174,f784])). 9.51/1.57 tff(f822,plain,( 9.51/1.57 ~spl17_64 | ~spl17_2 | spl17_57), 9.51/1.57 inference(avatar_split_clause,[],[f805,f759,f122,f820])). 9.51/1.57 tff(f759,plain,( 9.51/1.57 spl17_57 <=> member(sK5(complement(sF7)),sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_57])])). 9.51/1.57 tff(f805,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sK3) | (~spl17_2 | spl17_57)), 9.51/1.57 inference(resolution,[],[f760,f467])). 9.51/1.57 tff(f760,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sK1) | spl17_57), 9.51/1.57 inference(avatar_component_clause,[],[f759])). 9.51/1.57 tff(f810,plain,( 9.51/1.57 ~spl17_58 | ~spl17_13 | spl17_59), 9.51/1.57 inference(avatar_split_clause,[],[f808,f766,f166,f763])). 9.51/1.57 tff(f766,plain,( 9.51/1.57 spl17_59 <=> $sum(cardinality(sF7),cardinality(sF8)) = cardinality(sF9)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_59])])). 9.51/1.57 tff(f808,plain,( 9.51/1.57 empty_set != intersection(sF7,sF8) | (~spl17_13 | spl17_59)), 9.51/1.57 inference(subsumption_resolution,[],[f359,f767])). 9.51/1.57 tff(f767,plain,( 9.51/1.57 $sum(cardinality(sF7),cardinality(sF8)) != cardinality(sF9) | spl17_59), 9.51/1.57 inference(avatar_component_clause,[],[f766])). 9.51/1.57 tff(f359,plain,( 9.51/1.57 $sum(cardinality(sF7),cardinality(sF8)) = cardinality(sF9) | empty_set != intersection(sF7,sF8) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f72,f167])). 9.51/1.57 tff(f807,plain,( 9.51/1.57 ~spl17_56 | ~spl17_12 | spl17_55), 9.51/1.57 inference(avatar_split_clause,[],[f804,f750,f162,f753])). 9.51/1.57 tff(f804,plain,( 9.51/1.57 empty_set != intersection(sK1,sF6) | (~spl17_12 | spl17_55)), 9.51/1.57 inference(subsumption_resolution,[],[f358,f751])). 9.51/1.57 tff(f751,plain,( 9.51/1.57 $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF7) | spl17_55), 9.51/1.57 inference(avatar_component_clause,[],[f750])). 9.51/1.57 tff(f801,plain,( 9.51/1.57 ~spl17_62 | spl17_63 | ~spl17_10 | ~spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f356,f178,f154,f799,f796])). 9.51/1.57 tff(f356,plain,( 9.51/1.57 empty_set = intersection(sF11,sF12) | $sum(cardinality(sF11),cardinality(sF12)) != sF14 | (~spl17_10 | ~spl17_16)), 9.51/1.57 inference(forward_demodulation,[],[f354,f155])). 9.51/1.57 tff(f354,plain,( 9.51/1.57 $sum(cardinality(sF11),cardinality(sF12)) != cardinality(sF13) | empty_set = intersection(sF11,sF12) | ~spl17_16), 9.51/1.57 inference(superposition,[],[f71,f179])). 9.51/1.57 tff(f786,plain,( 9.51/1.57 spl17_60 | ~spl17_61 | ~spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f353,f174,f784,f781])). 9.51/1.57 tff(f353,plain,( 9.51/1.57 $sum(cardinality(sF10),cardinality(sF8)) != cardinality(sF11) | empty_set = intersection(sF10,sF8) | ~spl17_15), 9.51/1.57 inference(superposition,[],[f71,f175])). 9.51/1.57 tff(f779,plain,( 9.51/1.57 spl17_34 | ~spl17_54), 9.51/1.57 inference(avatar_contradiction_clause,[],[f775])). 9.51/1.57 tff(f775,plain,( 9.51/1.57 $false | (spl17_34 | ~spl17_54)), 9.51/1.57 inference(resolution,[],[f773,f327])). 9.51/1.57 tff(f327,plain,( 9.51/1.57 ~member(sK2,sF7) | spl17_34), 9.51/1.57 inference(avatar_component_clause,[],[f326])). 9.51/1.57 tff(f326,plain,( 9.51/1.57 spl17_34 <=> member(sK2,sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_34])])). 9.51/1.57 tff(f773,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sF7)) ) | ~spl17_54), 9.51/1.57 inference(subsumption_resolution,[],[f772,f101])). 9.51/1.57 tff(f772,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,empty_set) | member(X1,sF7)) ) | ~spl17_54), 9.51/1.57 inference(superposition,[],[f87,f747])). 9.51/1.57 tff(f747,plain,( 9.51/1.57 empty_set = complement(sF7) | ~spl17_54), 9.51/1.57 inference(avatar_component_clause,[],[f746])). 9.51/1.57 tff(f746,plain,( 9.51/1.57 spl17_54 <=> empty_set = complement(sF7)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_54])])). 9.51/1.57 tff(f778,plain,( 9.51/1.57 spl17_3 | ~spl17_54), 9.51/1.57 inference(avatar_contradiction_clause,[],[f774])). 9.51/1.57 tff(f774,plain,( 9.51/1.57 $false | (spl17_3 | ~spl17_54)), 9.51/1.57 inference(resolution,[],[f773,f127])). 9.51/1.57 tff(f768,plain,( 9.51/1.57 spl17_58 | ~spl17_59 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f352,f166,f766,f763])). 9.51/1.57 tff(f352,plain,( 9.51/1.57 $sum(cardinality(sF7),cardinality(sF8)) != cardinality(sF9) | empty_set = intersection(sF7,sF8) | ~spl17_13), 9.51/1.57 inference(superposition,[],[f71,f167])). 9.51/1.57 tff(f761,plain,( 9.51/1.57 spl17_54 | ~spl17_57 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f423,f162,f759,f746])). 9.51/1.57 tff(f423,plain,( 9.51/1.57 ~member(sK5(complement(sF7)),sK1) | empty_set = complement(sF7) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f206,f216])). 9.51/1.57 tff(f755,plain,( 9.51/1.57 ~spl17_55 | spl17_56 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f351,f162,f753,f750])). 9.51/1.57 tff(f351,plain,( 9.51/1.57 empty_set = intersection(sK1,sF6) | $sum(cardinality(sK1),cardinality(sF6)) != cardinality(sF7) | ~spl17_12), 9.51/1.57 inference(superposition,[],[f71,f163])). 9.51/1.57 tff(f748,plain,( 9.51/1.57 ~spl17_53 | spl17_54 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f422,f162,f746,f743])). 9.51/1.57 tff(f422,plain,( 9.51/1.57 empty_set = complement(sF7) | ~member(sK5(complement(sF7)),sF6) | ~spl17_12), 9.51/1.57 inference(resolution,[],[f206,f246])). 9.51/1.57 tff(f663,plain,( 9.51/1.57 ~spl17_20 | ~spl17_50), 9.51/1.57 inference(avatar_contradiction_clause,[],[f662])). 9.51/1.57 tff(f662,plain,( 9.51/1.57 $false | (~spl17_20 | ~spl17_50)), 9.51/1.57 inference(subsumption_resolution,[],[f658,f101])). 9.51/1.57 tff(f658,plain,( 9.51/1.57 member(sK2,empty_set) | (~spl17_20 | ~spl17_50)), 9.51/1.57 inference(backward_demodulation,[],[f198,f583])). 9.51/1.57 tff(f583,plain,( 9.51/1.57 empty_set = sF12 | ~spl17_50), 9.51/1.57 inference(avatar_component_clause,[],[f582])). 9.51/1.57 tff(f198,plain,( 9.51/1.57 member(sK2,sF12) | ~spl17_20), 9.51/1.57 inference(avatar_component_clause,[],[f197])). 9.51/1.57 tff(f197,plain,( 9.51/1.57 spl17_20 <=> member(sK2,sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_20])])). 9.51/1.57 tff(f655,plain,( 9.51/1.57 spl17_1 | ~spl17_51), 9.51/1.57 inference(avatar_contradiction_clause,[],[f650])). 9.51/1.57 tff(f650,plain,( 9.51/1.57 $false | (spl17_1 | ~spl17_51)), 9.51/1.57 inference(resolution,[],[f623,f119])). 9.51/1.57 tff(f623,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,sK1)) ) | ~spl17_51), 9.51/1.57 inference(subsumption_resolution,[],[f622,f101])). 9.51/1.57 tff(f622,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,empty_set) | member(X1,sK1)) ) | ~spl17_51), 9.51/1.57 inference(superposition,[],[f87,f615])). 9.51/1.57 tff(f615,plain,( 9.51/1.57 empty_set = complement(sK1) | ~spl17_51), 9.51/1.57 inference(avatar_component_clause,[],[f614])). 9.51/1.57 tff(f614,plain,( 9.51/1.57 spl17_51 <=> empty_set = complement(sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_51])])). 9.51/1.57 tff(f654,plain,( 9.51/1.57 spl17_33 | ~spl17_51), 9.51/1.57 inference(avatar_contradiction_clause,[],[f648])). 9.51/1.57 tff(f648,plain,( 9.51/1.57 $false | (spl17_33 | ~spl17_51)), 9.51/1.57 inference(resolution,[],[f623,f317])). 9.51/1.57 tff(f317,plain,( 9.51/1.57 ~member(sK0,sK1) | spl17_33), 9.51/1.57 inference(avatar_component_clause,[],[f316])). 9.51/1.57 tff(f316,plain,( 9.51/1.57 spl17_33 <=> member(sK0,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_33])])). 9.51/1.57 tff(f653,plain,( 9.51/1.57 spl17_35 | ~spl17_51), 9.51/1.57 inference(avatar_contradiction_clause,[],[f649])). 9.51/1.57 tff(f649,plain,( 9.51/1.57 $false | (spl17_35 | ~spl17_51)), 9.51/1.57 inference(resolution,[],[f623,f332])). 9.51/1.57 tff(f332,plain,( 9.51/1.57 ~member(sK2,sK1) | spl17_35), 9.51/1.57 inference(avatar_component_clause,[],[f331])). 9.51/1.57 tff(f331,plain,( 9.51/1.57 spl17_35 <=> member(sK2,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_35])])). 9.51/1.57 tff(f619,plain,( 9.51/1.57 spl17_51 | ~spl17_52 | ~spl17_2), 9.51/1.57 inference(avatar_split_clause,[],[f528,f122,f617,f614])). 9.51/1.57 tff(f617,plain,( 9.51/1.57 spl17_52 <=> member(sK5(complement(sK1)),sK3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_52])])). 9.51/1.57 tff(f528,plain,( 9.51/1.57 ~member(sK5(complement(sK1)),sK3) | empty_set = complement(sK1) | ~spl17_2), 9.51/1.57 inference(resolution,[],[f467,f206])). 9.51/1.57 tff(f584,plain,( 9.51/1.57 spl17_49 | spl17_50 | ~spl17_9), 9.51/1.57 inference(avatar_split_clause,[],[f313,f150,f582,f579])). 9.51/1.57 tff(f579,plain,( 9.51/1.57 spl17_49 <=> sK5(sF12) = sK2), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_49])])). 9.51/1.57 tff(f313,plain,( 9.51/1.57 empty_set = sF12 | sK5(sF12) = sK2 | ~spl17_9), 9.51/1.57 inference(resolution,[],[f211,f86])). 9.51/1.57 tff(f575,plain,( 9.51/1.57 ~spl17_48 | ~spl17_15 | spl17_37 | spl17_40), 9.51/1.57 inference(avatar_split_clause,[],[f569,f433,f402,f174,f573])). 9.51/1.57 tff(f402,plain,( 9.51/1.57 spl17_37 <=> member(sK2,sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_37])])). 9.51/1.57 tff(f569,plain,( 9.51/1.57 ~member(sK2,sF11) | (~spl17_15 | spl17_37 | spl17_40)), 9.51/1.57 inference(subsumption_resolution,[],[f567,f403])). 9.51/1.57 tff(f403,plain,( 9.51/1.57 ~member(sK2,sF8) | spl17_37), 9.51/1.57 inference(avatar_component_clause,[],[f402])). 9.51/1.57 tff(f567,plain,( 9.51/1.57 ~member(sK2,sF11) | member(sK2,sF8) | (~spl17_15 | spl17_40)), 9.51/1.57 inference(resolution,[],[f340,f434])). 9.51/1.57 tff(f558,plain,( 9.51/1.57 ~spl17_47 | ~spl17_2 | spl17_35), 9.51/1.57 inference(avatar_split_clause,[],[f526,f331,f122,f556])). 9.51/1.57 tff(f526,plain,( 9.51/1.57 ~member(sK2,sK3) | (~spl17_2 | spl17_35)), 9.51/1.57 inference(resolution,[],[f467,f332])). 9.51/1.57 tff(f554,plain,( 9.51/1.57 ~spl17_46 | ~spl17_2 | spl17_33), 9.51/1.57 inference(avatar_split_clause,[],[f525,f316,f122,f552])). 9.51/1.57 tff(f525,plain,( 9.51/1.57 ~member(sK0,sK3) | (~spl17_2 | spl17_33)), 9.51/1.57 inference(resolution,[],[f467,f317])). 9.51/1.57 tff(f545,plain,( 9.51/1.57 ~spl17_45 | spl17_1 | ~spl17_2), 9.51/1.57 inference(avatar_split_clause,[],[f527,f122,f118,f543])). 9.51/1.57 tff(f527,plain,( 9.51/1.57 ~member(sK4,sK3) | (spl17_1 | ~spl17_2)), 9.51/1.57 inference(resolution,[],[f467,f119])). 9.51/1.57 tff(f505,plain,( 9.51/1.57 ~spl17_18 | ~spl17_42), 9.51/1.57 inference(avatar_contradiction_clause,[],[f504])). 9.51/1.57 tff(f504,plain,( 9.51/1.57 $false | (~spl17_18 | ~spl17_42)), 9.51/1.57 inference(subsumption_resolution,[],[f498,f101])). 9.51/1.57 tff(f498,plain,( 9.51/1.57 member(sK4,empty_set) | (~spl17_18 | ~spl17_42)), 9.51/1.57 inference(backward_demodulation,[],[f188,f442])). 9.51/1.57 tff(f442,plain,( 9.51/1.57 empty_set = sF6 | ~spl17_42), 9.51/1.57 inference(avatar_component_clause,[],[f441])). 9.51/1.57 tff(f466,plain,( 9.51/1.57 ~spl17_19 | ~spl17_43), 9.51/1.57 inference(avatar_contradiction_clause,[],[f465])). 9.51/1.57 tff(f465,plain,( 9.51/1.57 $false | (~spl17_19 | ~spl17_43)), 9.51/1.57 inference(subsumption_resolution,[],[f460,f101])). 9.51/1.57 tff(f460,plain,( 9.51/1.57 member(sK0,empty_set) | (~spl17_19 | ~spl17_43)), 9.51/1.57 inference(backward_demodulation,[],[f193,f452])). 9.51/1.57 tff(f452,plain,( 9.51/1.57 empty_set = sF8 | ~spl17_43), 9.51/1.57 inference(avatar_component_clause,[],[f451])). 9.51/1.57 tff(f456,plain,( 9.51/1.57 spl17_43 | spl17_44 | ~spl17_8), 9.51/1.57 inference(avatar_split_clause,[],[f311,f146,f454,f451])). 9.51/1.57 tff(f454,plain,( 9.51/1.57 spl17_44 <=> sK0 = sK5(sF8)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_44])])). 9.51/1.57 tff(f311,plain,( 9.51/1.57 sK0 = sK5(sF8) | empty_set = sF8 | ~spl17_8), 9.51/1.57 inference(resolution,[],[f210,f86])). 9.51/1.57 tff(f443,plain,( 9.51/1.57 spl17_41 | spl17_42 | ~spl17_7), 9.51/1.57 inference(avatar_split_clause,[],[f309,f142,f441,f438])). 9.51/1.57 tff(f438,plain,( 9.51/1.57 spl17_41 <=> sK5(sF6) = sK4), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_41])])). 9.51/1.57 tff(f309,plain,( 9.51/1.57 empty_set = sF6 | sK5(sF6) = sK4 | ~spl17_7), 9.51/1.57 inference(resolution,[],[f209,f86])). 9.51/1.57 tff(f435,plain,( 9.51/1.57 ~spl17_40 | ~spl17_30 | spl17_38), 9.51/1.57 inference(avatar_split_clause,[],[f411,f406,f292,f433])). 9.51/1.57 tff(f292,plain,( 9.51/1.57 spl17_30 <=> union(empty_set,sF6) = sF10), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_30])])). 9.51/1.57 tff(f411,plain,( 9.51/1.57 ~member(sK2,sF10) | (~spl17_30 | spl17_38)), 9.51/1.57 inference(resolution,[],[f407,f342])). 9.51/1.57 tff(f342,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,sF6) | ~member(X0,sF10)) ) | ~spl17_30), 9.51/1.57 inference(subsumption_resolution,[],[f337,f101])). 9.51/1.57 tff(f337,plain,( 9.51/1.57 ( ! [X0 : element] : (member(X0,empty_set) | ~member(X0,sF10) | member(X0,sF6)) ) | ~spl17_30), 9.51/1.57 inference(superposition,[],[f73,f293])). 9.51/1.57 tff(f293,plain,( 9.51/1.57 union(empty_set,sF6) = sF10 | ~spl17_30), 9.51/1.57 inference(avatar_component_clause,[],[f292])). 9.51/1.57 tff(f415,plain,( 9.51/1.57 ~spl17_39 | ~spl17_30 | spl17_36), 9.51/1.57 inference(avatar_split_clause,[],[f410,f379,f292,f413])). 9.51/1.57 tff(f410,plain,( 9.51/1.57 ~member(sK0,sF10) | (~spl17_30 | spl17_36)), 9.51/1.57 inference(resolution,[],[f342,f380])). 9.51/1.57 tff(f408,plain,( 9.51/1.57 ~spl17_38 | ~spl17_12 | spl17_34), 9.51/1.57 inference(avatar_split_clause,[],[f349,f326,f162,f406])). 9.51/1.57 tff(f349,plain,( 9.51/1.57 ~member(sK2,sF6) | (~spl17_12 | spl17_34)), 9.51/1.57 inference(resolution,[],[f246,f327])). 9.51/1.57 tff(f404,plain,( 9.51/1.57 ~spl17_37 | spl17_4 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f400,f166,f130,f402])). 9.51/1.57 tff(f400,plain,( 9.51/1.57 ~member(sK2,sF8) | (spl17_4 | ~spl17_13)), 9.51/1.57 inference(resolution,[],[f248,f131])). 9.51/1.57 tff(f381,plain,( 9.51/1.57 ~spl17_36 | spl17_3 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f348,f162,f126,f379])). 9.51/1.57 tff(f348,plain,( 9.51/1.57 ~member(sK0,sF6) | (spl17_3 | ~spl17_12)), 9.51/1.57 inference(resolution,[],[f246,f127])). 9.51/1.57 tff(f333,plain,( 9.51/1.57 ~spl17_35 | ~spl17_12 | spl17_34), 9.51/1.57 inference(avatar_split_clause,[],[f329,f326,f162,f331])). 9.51/1.57 tff(f329,plain,( 9.51/1.57 ~member(sK2,sK1) | (~spl17_12 | spl17_34)), 9.51/1.57 inference(resolution,[],[f327,f216])). 9.51/1.57 tff(f328,plain,( 9.51/1.57 ~spl17_34 | spl17_4 | ~spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f323,f166,f130,f326])). 9.51/1.57 tff(f323,plain,( 9.51/1.57 ~member(sK2,sF7) | (spl17_4 | ~spl17_13)), 9.51/1.57 inference(resolution,[],[f218,f131])). 9.51/1.57 tff(f318,plain,( 9.51/1.57 ~spl17_33 | spl17_3 | ~spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f314,f162,f126,f316])). 9.51/1.57 tff(f314,plain,( 9.51/1.57 ~member(sK0,sK1) | (spl17_3 | ~spl17_12)), 9.51/1.57 inference(resolution,[],[f216,f127])). 9.51/1.57 tff(f307,plain,( 9.51/1.57 ~spl17_32 | ~spl17_6 | ~spl17_11 | spl17_21 | ~spl17_27), 9.51/1.57 inference(avatar_split_clause,[],[f290,f267,f213,f158,f138,f305])). 9.51/1.57 tff(f305,plain,( 9.51/1.57 spl17_32 <=> 3 = sF14), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_32])])). 9.51/1.57 tff(f213,plain,( 9.51/1.57 spl17_21 <=> $sum(sF15,3) = sF14), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_21])])). 9.51/1.57 tff(f267,plain,( 9.51/1.57 spl17_27 <=> empty_set = sK3), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_27])])). 9.51/1.57 tff(f290,plain,( 9.51/1.57 3 != sF14 | (~spl17_6 | ~spl17_11 | spl17_21 | ~spl17_27)), 9.51/1.57 inference(evaluation,[],[f285])). 9.51/1.57 tff(f285,plain,( 9.51/1.57 sF14 != $sum(0,3) | (~spl17_6 | ~spl17_11 | spl17_21 | ~spl17_27)), 9.51/1.57 inference(backward_demodulation,[],[f214,f279])). 9.51/1.57 tff(f279,plain,( 9.51/1.57 0 = sF15 | (~spl17_6 | ~spl17_11 | ~spl17_27)), 9.51/1.57 inference(forward_demodulation,[],[f277,f139])). 9.51/1.57 tff(f277,plain,( 9.51/1.57 sF15 = cardinality(empty_set) | (~spl17_11 | ~spl17_27)), 9.51/1.57 inference(backward_demodulation,[],[f159,f268])). 9.51/1.57 tff(f268,plain,( 9.51/1.57 empty_set = sK3 | ~spl17_27), 9.51/1.57 inference(avatar_component_clause,[],[f267])). 9.51/1.57 tff(f214,plain,( 9.51/1.57 $sum(sF15,3) != sF14 | spl17_21), 9.51/1.57 inference(avatar_component_clause,[],[f213])). 9.51/1.57 tff(f302,plain,( 9.51/1.57 spl17_31 | ~spl17_6 | ~spl17_11 | ~spl17_17 | ~spl17_27), 9.51/1.57 inference(avatar_split_clause,[],[f289,f267,f182,f158,f138,f300])). 9.51/1.57 tff(f300,plain,( 9.51/1.57 spl17_31 <=> 3 = sF16), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_31])])). 9.51/1.57 tff(f182,plain,( 9.51/1.57 spl17_17 <=> $sum(sF15,3) = sF16), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_17])])). 9.51/1.57 tff(f289,plain,( 9.51/1.57 3 = sF16 | (~spl17_6 | ~spl17_11 | ~spl17_17 | ~spl17_27)), 9.51/1.57 inference(evaluation,[],[f286])). 9.51/1.57 tff(f286,plain,( 9.51/1.57 $sum(0,3) = sF16 | (~spl17_6 | ~spl17_11 | ~spl17_17 | ~spl17_27)), 9.51/1.57 inference(backward_demodulation,[],[f183,f279])). 9.51/1.57 tff(f183,plain,( 9.51/1.57 $sum(sF15,3) = sF16 | ~spl17_17), 9.51/1.57 inference(avatar_component_clause,[],[f182])). 9.51/1.57 tff(f294,plain,( 9.51/1.57 spl17_30 | ~spl17_14 | ~spl17_27), 9.51/1.57 inference(avatar_split_clause,[],[f276,f267,f170,f292])). 9.51/1.57 tff(f276,plain,( 9.51/1.57 union(empty_set,sF6) = sF10 | (~spl17_14 | ~spl17_27)), 9.51/1.57 inference(backward_demodulation,[],[f171,f268])). 9.51/1.57 tff(f288,plain,( 9.51/1.57 spl17_28 | ~spl17_6 | ~spl17_11 | ~spl17_27), 9.51/1.57 inference(avatar_split_clause,[],[f279,f267,f158,f138,f270])). 9.51/1.57 tff(f270,plain,( 9.51/1.57 spl17_28 <=> 0 = sF15), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_28])])). 9.51/1.57 tff(f283,plain,( 9.51/1.57 spl17_29 | ~spl17_2 | ~spl17_27), 9.51/1.57 inference(avatar_split_clause,[],[f278,f267,f122,f281])). 9.51/1.57 tff(f281,plain,( 9.51/1.57 spl17_29 <=> subset(empty_set,sK1)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_29])])). 9.51/1.57 tff(f278,plain,( 9.51/1.57 subset(empty_set,sK1) | (~spl17_2 | ~spl17_27)), 9.51/1.57 inference(backward_demodulation,[],[f123,f268])). 9.51/1.57 tff(f272,plain,( 9.51/1.57 spl17_27 | ~spl17_28 | ~spl17_11), 9.51/1.57 inference(avatar_split_clause,[],[f203,f158,f270,f267])). 9.51/1.57 tff(f203,plain,( 9.51/1.57 0 != sF15 | empty_set = sK3 | ~spl17_11), 9.51/1.57 inference(superposition,[],[f69,f159])). 9.51/1.57 tff(f265,plain,( 9.51/1.57 ~spl17_26 | ~spl17_17 | spl17_24), 9.51/1.57 inference(avatar_split_clause,[],[f239,f236,f182,f263])). 9.51/1.57 tff(f263,plain,( 9.51/1.57 spl17_26 <=> 0 = $sum(sF15,3)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_26])])). 9.51/1.57 tff(f236,plain,( 9.51/1.57 spl17_24 <=> 0 = sF16), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_24])])). 9.51/1.57 tff(f239,plain,( 9.51/1.57 0 != $sum(sF15,3) | (~spl17_17 | spl17_24)), 9.51/1.57 inference(superposition,[],[f237,f183])). 9.51/1.57 tff(f237,plain,( 9.51/1.57 0 != sF16 | spl17_24), 9.51/1.57 inference(avatar_component_clause,[],[f236])). 9.51/1.57 tff(f257,plain,( 9.51/1.57 ~spl17_20 | ~spl17_25), 9.51/1.57 inference(avatar_contradiction_clause,[],[f255])). 9.51/1.57 tff(f255,plain,( 9.51/1.57 $false | (~spl17_20 | ~spl17_25)), 9.51/1.57 inference(resolution,[],[f251,f198])). 9.51/1.57 tff(f251,plain,( 9.51/1.57 ( ! [X4 : element] : (~member(X4,sF12)) ) | ~spl17_25), 9.51/1.57 inference(subsumption_resolution,[],[f250,f101])). 9.51/1.57 tff(f250,plain,( 9.51/1.57 ( ! [X4 : element] : (member(X4,empty_set) | ~member(X4,sF12)) ) | ~spl17_25), 9.51/1.57 inference(superposition,[],[f75,f242])). 9.51/1.57 tff(f242,plain,( 9.51/1.57 empty_set = union(sF11,sF12) | ~spl17_25), 9.51/1.57 inference(avatar_component_clause,[],[f241])). 9.51/1.57 tff(f241,plain,( 9.51/1.57 spl17_25 <=> empty_set = union(sF11,sF12)), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_25])])). 9.51/1.57 tff(f243,plain,( 9.51/1.57 spl17_25 | ~spl17_16 | ~spl17_22), 9.51/1.57 inference(avatar_split_clause,[],[f228,f222,f178,f241])). 9.51/1.57 tff(f228,plain,( 9.51/1.57 empty_set = union(sF11,sF12) | (~spl17_16 | ~spl17_22)), 9.51/1.57 inference(backward_demodulation,[],[f179,f223])). 9.51/1.57 tff(f223,plain,( 9.51/1.57 empty_set = sF13 | ~spl17_22), 9.51/1.57 inference(avatar_component_clause,[],[f222])). 9.51/1.57 tff(f238,plain,( 9.51/1.57 ~spl17_24 | spl17_5 | ~spl17_6 | ~spl17_10 | ~spl17_22), 9.51/1.57 inference(avatar_split_clause,[],[f232,f222,f154,f138,f134,f236])). 9.51/1.57 tff(f134,plain,( 9.51/1.57 spl17_5 <=> sF14 = sF16), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_5])])). 9.51/1.57 tff(f232,plain,( 9.51/1.57 0 != sF16 | (spl17_5 | ~spl17_6 | ~spl17_10 | ~spl17_22)), 9.51/1.57 inference(backward_demodulation,[],[f135,f230])). 9.51/1.57 tff(f230,plain,( 9.51/1.57 0 = sF14 | (~spl17_6 | ~spl17_10 | ~spl17_22)), 9.51/1.57 inference(forward_demodulation,[],[f229,f139])). 9.51/1.57 tff(f229,plain,( 9.51/1.57 cardinality(empty_set) = sF14 | (~spl17_10 | ~spl17_22)), 9.51/1.57 inference(backward_demodulation,[],[f155,f223])). 9.51/1.57 tff(f135,plain,( 9.51/1.57 sF14 != sF16 | spl17_5), 9.51/1.57 inference(avatar_component_clause,[],[f134])). 9.51/1.57 tff(f234,plain,( 9.51/1.57 spl17_23 | ~spl17_6 | ~spl17_10 | ~spl17_22), 9.51/1.57 inference(avatar_split_clause,[],[f230,f222,f154,f138,f225])). 9.51/1.57 tff(f225,plain,( 9.51/1.57 spl17_23 <=> 0 = sF14), 9.51/1.57 introduced(avatar_definition,[new_symbols(naming,[spl17_23])])). 9.51/1.57 tff(f227,plain,( 9.51/1.57 spl17_22 | ~spl17_23 | ~spl17_10), 9.51/1.57 inference(avatar_split_clause,[],[f202,f154,f225,f222])). 9.51/1.57 tff(f202,plain,( 9.51/1.57 0 != sF14 | empty_set = sF13 | ~spl17_10), 9.51/1.57 inference(superposition,[],[f69,f155])). 9.51/1.57 tff(f215,plain,( 9.51/1.57 ~spl17_21 | spl17_5 | ~spl17_17), 9.51/1.57 inference(avatar_split_clause,[],[f200,f182,f134,f213])). 9.51/1.57 tff(f200,plain,( 9.51/1.57 $sum(sF15,3) != sF14 | (spl17_5 | ~spl17_17)), 9.51/1.57 inference(superposition,[],[f135,f183])). 9.51/1.57 tff(f199,plain,( 9.51/1.57 spl17_20 | ~spl17_9), 9.51/1.57 inference(avatar_split_clause,[],[f195,f150,f197])). 9.51/1.57 tff(f195,plain,( 9.51/1.57 member(sK2,sF12) | ~spl17_9), 9.51/1.57 inference(superposition,[],[f102,f151])). 9.51/1.57 tff(f102,plain,( 9.51/1.57 ( ! [X1 : element] : (member(X1,singleton(X1))) )), 9.51/1.57 inference(equality_resolution,[],[f92])). 9.51/1.57 tff(f92,plain,( 9.51/1.57 ( ! [X0 : element,X1 : element] : (member(X0,singleton(X1)) | X0 != X1) )), 9.51/1.57 inference(cnf_transformation,[],[f62])). 9.51/1.57 tff(f194,plain,( 9.51/1.57 spl17_19 | ~spl17_8), 9.51/1.57 inference(avatar_split_clause,[],[f190,f146,f192])). 9.51/1.57 tff(f190,plain,( 9.51/1.57 member(sK0,sF8) | ~spl17_8), 9.51/1.57 inference(superposition,[],[f102,f147])). 9.51/1.57 tff(f189,plain,( 9.51/1.57 spl17_18 | ~spl17_7), 9.51/1.57 inference(avatar_split_clause,[],[f185,f142,f187])). 9.51/1.57 tff(f185,plain,( 9.51/1.57 member(sK4,sF6) | ~spl17_7), 9.51/1.57 inference(superposition,[],[f102,f143])). 9.51/1.57 tff(f184,plain,( 9.51/1.57 spl17_17), 9.51/1.57 inference(avatar_split_clause,[],[f115,f182])). 9.51/1.57 tff(f115,plain,( 9.51/1.57 $sum(sF15,3) = sF16), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f180,plain,( 9.51/1.57 spl17_16), 9.51/1.57 inference(avatar_split_clause,[],[f112,f178])). 9.51/1.57 tff(f112,plain,( 9.51/1.57 sF13 = union(sF11,sF12)), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f176,plain,( 9.51/1.57 spl17_15), 9.51/1.57 inference(avatar_split_clause,[],[f110,f174])). 9.51/1.57 tff(f110,plain,( 9.51/1.57 union(sF10,sF8) = sF11), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f172,plain,( 9.51/1.57 spl17_14), 9.51/1.57 inference(avatar_split_clause,[],[f109,f170])). 9.51/1.57 tff(f109,plain,( 9.51/1.57 sF10 = union(sK3,sF6)), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f168,plain,( 9.51/1.57 spl17_13), 9.51/1.57 inference(avatar_split_clause,[],[f107,f166])). 9.51/1.57 tff(f107,plain,( 9.51/1.57 union(sF7,sF8) = sF9), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f164,plain,( 9.51/1.57 spl17_12), 9.51/1.57 inference(avatar_split_clause,[],[f104,f162])). 9.51/1.57 tff(f104,plain,( 9.51/1.57 union(sK1,sF6) = sF7), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f160,plain,( 9.51/1.57 spl17_11), 9.51/1.57 inference(avatar_split_clause,[],[f114,f158])). 9.51/1.57 tff(f114,plain,( 9.51/1.57 sF15 = cardinality(sK3)), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f156,plain,( 9.51/1.57 spl17_10), 9.51/1.57 inference(avatar_split_clause,[],[f113,f154])). 9.51/1.57 tff(f113,plain,( 9.51/1.57 cardinality(sF13) = sF14), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f152,plain,( 9.51/1.57 spl17_9), 9.51/1.57 inference(avatar_split_clause,[],[f111,f150])). 9.51/1.57 tff(f111,plain,( 9.51/1.57 sF12 = singleton(sK2)), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f148,plain,( 9.51/1.57 spl17_8), 9.51/1.57 inference(avatar_split_clause,[],[f106,f146])). 9.51/1.57 tff(f106,plain,( 9.51/1.57 sF8 = singleton(sK0)), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f144,plain,( 9.51/1.57 spl17_7), 9.51/1.57 inference(avatar_split_clause,[],[f103,f142])). 9.51/1.57 tff(f103,plain,( 9.51/1.57 singleton(sK4) = sF6), 9.51/1.57 introduced(function_definition,[])). 9.51/1.57 tff(f140,plain,( 9.51/1.57 spl17_6), 9.51/1.57 inference(avatar_split_clause,[],[f100,f138])). 9.51/1.57 tff(f100,plain,( 9.51/1.57 0 = cardinality(empty_set)), 9.51/1.57 inference(equality_resolution,[],[f70])). 9.51/1.57 tff(f70,plain,( 9.51/1.57 ( ! [X0 : set] : (0 = cardinality(X0) | empty_set != X0) )), 9.51/1.57 inference(cnf_transformation,[],[f43])). 9.51/1.57 tff(f136,plain,( 9.51/1.57 ~spl17_5), 9.51/1.57 inference(avatar_split_clause,[],[f116,f134])). 9.51/1.57 tff(f116,plain,( 9.51/1.57 sF14 != sF16), 9.51/1.57 inference(definition_folding,[],[f80,f115,f114,f113,f112,f111,f110,f106,f109,f103])). 9.51/1.57 tff(f80,plain,( 9.51/1.57 cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK0)),singleton(sK2))) != $sum(cardinality(sK3),3)), 9.51/1.57 inference(cnf_transformation,[],[f53])). 9.51/1.57 tff(f53,plain,( 9.51/1.57 ~member(sK0,union(sK1,singleton(sK4))) & subset(sK3,sK1) & ~member(sK2,union(union(sK1,singleton(sK4)),singleton(sK0))) & ~member(sK4,sK1) & cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK0)),singleton(sK2))) != $sum(cardinality(sK3),3)), 9.51/1.57 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f51,f52])). 9.51/1.57 tff(f52,plain,( 9.51/1.57 ? [X0 : element,X1 : set,X2 : element,X3 : set,X4 : element] : (~member(X0,union(X1,singleton(X4))) & subset(X3,X1) & ~member(X2,union(union(X1,singleton(X4)),singleton(X0))) & ~member(X4,X1) & $sum(cardinality(X3),3) != cardinality(union(union(union(X3,singleton(X4)),singleton(X0)),singleton(X2)))) => (~member(sK0,union(sK1,singleton(sK4))) & subset(sK3,sK1) & ~member(sK2,union(union(sK1,singleton(sK4)),singleton(sK0))) & ~member(sK4,sK1) & cardinality(union(union(union(sK3,singleton(sK4)),singleton(sK0)),singleton(sK2))) != $sum(cardinality(sK3),3))), 9.51/1.57 introduced(choice_axiom,[])). 9.51/1.57 tff(f51,plain,( 9.51/1.57 ? [X0 : element,X1 : set,X2 : element,X3 : set,X4 : element] : (~member(X0,union(X1,singleton(X4))) & subset(X3,X1) & ~member(X2,union(union(X1,singleton(X4)),singleton(X0))) & ~member(X4,X1) & $sum(cardinality(X3),3) != cardinality(union(union(union(X3,singleton(X4)),singleton(X0)),singleton(X2))))), 9.51/1.57 inference(rectify,[],[f42])). 9.51/1.57 tff(f42,plain,( 9.51/1.57 ? [X3 : element,X0 : set,X2 : element,X1 : set,X4 : element] : (~member(X3,union(X0,singleton(X4))) & subset(X1,X0) & ~member(X2,union(union(X0,singleton(X4)),singleton(X3))) & ~member(X4,X0) & cardinality(union(union(union(X1,singleton(X4)),singleton(X3)),singleton(X2))) != $sum(cardinality(X1),3))), 9.51/1.57 inference(flattening,[],[f41])). 9.51/1.57 tff(f41,plain,( 9.51/1.57 ? [X3 : element,X0 : set,X1 : set,X4 : element,X2 : element] : (cardinality(union(union(union(X1,singleton(X4)),singleton(X3)),singleton(X2))) != $sum(cardinality(X1),3) & (~member(X3,union(X0,singleton(X4))) & ~member(X4,X0) & ~member(X2,union(union(X0,singleton(X4)),singleton(X3))) & subset(X1,X0)))), 9.51/1.57 inference(ennf_transformation,[],[f32])). 9.51/1.57 tff(f32,plain,( 9.51/1.57 ~! [X3 : element,X0 : set,X1 : set,X4 : element,X2 : element] : ((~member(X3,union(X0,singleton(X4))) & ~member(X4,X0) & ~member(X2,union(union(X0,singleton(X4)),singleton(X3))) & subset(X1,X0)) => cardinality(union(union(union(X1,singleton(X4)),singleton(X3)),singleton(X2))) = $sum(cardinality(X1),3))), 9.51/1.57 inference(rectify,[],[f8])). 9.51/1.57 tff(f8,negated_conjecture,( 9.51/1.57 ~! [X1 : set,X4 : set,X7 : element,X6 : element,X5 : element] : ((~member(X7,union(union(X1,singleton(X5)),singleton(X6))) & subset(X4,X1) & ~member(X6,union(X1,singleton(X5))) & ~member(X5,X1)) => cardinality(union(union(union(X4,singleton(X5)),singleton(X6)),singleton(X7))) = $sum(cardinality(X4),3))), 9.51/1.57 inference(negated_conjecture,[],[f7])). 9.51/1.57 tff(f7,conjecture,( 9.51/1.57 ! [X1 : set,X4 : set,X7 : element,X6 : element,X5 : element] : ((~member(X7,union(union(X1,singleton(X5)),singleton(X6))) & subset(X4,X1) & ~member(X6,union(X1,singleton(X5))) & ~member(X5,X1)) => cardinality(union(union(union(X4,singleton(X5)),singleton(X6)),singleton(X7))) = $sum(cardinality(X4),3))), 9.51/1.57 file('/export/starexec/sandbox/benchmark/theBenchmark.p',vc4)). 9.51/1.57 tff(f132,plain,( 9.51/1.57 ~spl17_4), 9.51/1.57 inference(avatar_split_clause,[],[f108,f130])). 9.51/1.57 tff(f108,plain,( 9.51/1.57 ~member(sK2,sF9)), 9.51/1.57 inference(definition_folding,[],[f82,f107,f106,f104,f103])). 9.51/1.57 tff(f82,plain,( 9.51/1.57 ~member(sK2,union(union(sK1,singleton(sK4)),singleton(sK0)))), 9.51/1.57 inference(cnf_transformation,[],[f53])). 9.51/1.57 tff(f128,plain,( 9.51/1.57 ~spl17_3), 9.51/1.57 inference(avatar_split_clause,[],[f105,f126])). 9.51/1.57 tff(f105,plain,( 9.51/1.57 ~member(sK0,sF7)), 9.51/1.57 inference(definition_folding,[],[f84,f104,f103])). 9.51/1.57 tff(f84,plain,( 9.51/1.57 ~member(sK0,union(sK1,singleton(sK4)))), 9.51/1.57 inference(cnf_transformation,[],[f53])). 9.51/1.57 tff(f124,plain,( 9.51/1.57 spl17_2), 9.51/1.57 inference(avatar_split_clause,[],[f83,f122])). 9.51/1.57 tff(f83,plain,( 9.51/1.57 subset(sK3,sK1)), 9.51/1.57 inference(cnf_transformation,[],[f53])). 9.51/1.57 tff(f120,plain,( 9.51/1.57 ~spl17_1), 9.51/1.57 inference(avatar_split_clause,[],[f81,f118])). 9.51/1.57 tff(f81,plain,( 9.51/1.57 ~member(sK4,sK1)), 9.51/1.57 inference(cnf_transformation,[],[f53])). 9.51/1.57 % SZS output end Proof for theBenchmark 9.51/1.57 % (16772)------------------------------ 9.51/1.57 % (16772)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 9.51/1.57 % (16772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 9.51/1.57 % (16772)Termination reason: Refutation 9.51/1.57 9.51/1.57 % (16772)Memory used [KB]: 2302 9.51/1.57 % (16772)Time elapsed: 0.141 s 9.51/1.57 % (16772)Instructions burned: 316 (million) 9.51/1.57 % (16772)------------------------------ 9.51/1.57 % (16772)------------------------------ 9.51/1.57 % (16495)Success in time 1.257 s 9.51/1.57 EOF