0.02/0.07 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.02/0.08 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.07/0.26 % Computer : n019.cluster.edu 0.07/0.26 % Model : x86_64 x86_64 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.07/0.26 % Memory : 8042.1875MB 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64 0.07/0.26 % CPULimit : 960 0.07/0.26 % WCLimit : 120 0.07/0.26 % DateTime : Tue Aug 9 04:13:51 EDT 2022 0.07/0.26 % CPUTime : 0.07/0.30 % (8054)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 (1200ds/24Mi) 0.07/0.30 % (8055)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 (1200ds/2Mi) 0.07/0.30 % (8050)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 (1200ds/41Mi) 0.07/0.30 % (8053)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/15Mi) 0.07/0.30 % (8049)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 (1200ds/59608Mi) 0.07/0.30 % (8052)lrs+10_1:1_ep=R:newcnf=on:sd=2:ss=axioms:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (1200ds/2Mi) 0.07/0.30 % (8051)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 (1200ds/9Mi) 0.07/0.30 % (8056)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 (1200ds/28Mi) 0.07/0.30 % (8055)Refutation not found, incomplete strategy% (8055)------------------------------ 0.07/0.30 % (8055)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.07/0.30 % (8052)Instruction limit reached! 0.07/0.30 % (8052)------------------------------ 0.07/0.30 % (8052)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.07/0.30 % (8055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.07/0.30 % (8055)Termination reason: Refutation not found, incomplete strategy 0.07/0.30 0.07/0.30 % (8055)Memory used [KB]: 895 0.07/0.30 % (8055)Time elapsed: 0.002 s 0.07/0.30 % (8055)Instructions burned: 1 (million) 0.07/0.30 % (8055)------------------------------ 0.07/0.30 % (8055)------------------------------ 0.07/0.30 % (8052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.07/0.30 % (8052)Termination reason: Unknown 0.07/0.30 % (8052)Termination phase: Saturation 0.07/0.30 0.07/0.30 % (8052)Memory used [KB]: 5373 0.07/0.30 % (8052)Time elapsed: 0.002 s 0.07/0.30 % (8052)Instructions burned: 2 (million) 0.07/0.30 % (8052)------------------------------ 0.07/0.30 % (8052)------------------------------ 0.07/0.30 % (8056)Refutation not found, incomplete strategy% (8056)------------------------------ 0.07/0.30 % (8056)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.07/0.30 % (8056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.07/0.30 % (8056)Termination reason: Refutation not found, incomplete strategy 0.07/0.30 0.07/0.30 % (8056)Memory used [KB]: 5373 0.07/0.30 % (8056)Time elapsed: 0.002 s 0.07/0.30 % (8056)Instructions burned: 3 (million) 0.07/0.30 % (8056)------------------------------ 0.07/0.30 % (8056)------------------------------ 0.07/0.30 % (8051)Instruction limit reached! 0.07/0.30 % (8051)------------------------------ 0.07/0.30 % (8051)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.07/0.30 % (8051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.07/0.30 % (8051)Termination reason: Unknown 0.07/0.30 % (8051)Termination phase: Saturation 0.07/0.30 0.07/0.30 % (8051)Memory used [KB]: 5628 0.07/0.30 % (8051)Time elapsed: 0.006 s 0.07/0.30 % (8051)Instructions burned: 10 (million) 0.07/0.30 % (8051)------------------------------ 0.07/0.30 % (8051)------------------------------ 0.07/0.31 % (8053)Instruction limit reached! 0.07/0.31 % (8053)------------------------------ 0.07/0.31 % (8053)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.07/0.31 % (8053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.07/0.31 % (8053)Termination reason: Unknown 0.07/0.31 % (8053)Termination phase: Saturation 0.07/0.31 0.07/0.31 % (8053)Memory used [KB]: 5628 0.07/0.31 % (8053)Time elapsed: 0.008 s 0.07/0.31 % (8053)Instructions burned: 15 (million) 0.07/0.31 % (8053)------------------------------ 0.07/0.31 % (8053)------------------------------ 0.11/0.31 % (8054)Instruction limit reached! 0.11/0.31 % (8054)------------------------------ 0.11/0.31 % (8054)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.31 % (8054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.31 % (8054)Termination reason: Unknown 0.11/0.31 % (8054)Termination phase: Saturation 0.11/0.31 0.11/0.31 % (8054)Memory used [KB]: 5756 0.11/0.31 % (8054)Time elapsed: 0.013 s 0.11/0.31 % (8054)Instructions burned: 25 (million) 0.11/0.31 % (8054)------------------------------ 0.11/0.31 % (8054)------------------------------ 0.11/0.32 % (8050)Instruction limit reached! 0.11/0.32 % (8050)------------------------------ 0.11/0.32 % (8050)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.32 % (8050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.32 % (8050)Termination reason: Unknown 0.11/0.32 % (8050)Termination phase: Saturation 0.11/0.32 0.11/0.32 % (8050)Memory used [KB]: 6012 0.11/0.32 % (8050)Time elapsed: 0.018 s 0.11/0.32 % (8050)Instructions burned: 41 (million) 0.11/0.32 % (8050)------------------------------ 0.11/0.32 % (8050)------------------------------ 0.11/0.33 % (8058)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) 0.11/0.33 % (8057)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) 0.11/0.33 % (8059)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) 0.11/0.33 % (8058)Instruction limit reached! 0.11/0.33 % (8058)------------------------------ 0.11/0.33 % (8058)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.33 % (8058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.33 % (8058)Termination reason: Unknown 0.11/0.33 % (8058)Termination phase: Property scanning 0.11/0.33 0.11/0.33 % (8058)Memory used [KB]: 895 0.11/0.33 % (8058)Time elapsed: 0.002 s 0.11/0.33 % (8058)Instructions burned: 2 (million) 0.11/0.33 % (8058)------------------------------ 0.11/0.33 % (8058)------------------------------ 0.11/0.33 % (8059)Refutation not found, incomplete strategy% (8059)------------------------------ 0.11/0.33 % (8059)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.33 % (8059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.33 % (8059)Termination reason: Refutation not found, incomplete strategy 0.11/0.33 0.11/0.33 % (8059)Memory used [KB]: 895 0.11/0.33 % (8059)Time elapsed: 0.002 s 0.11/0.33 % (8059)Instructions burned: 2 (million) 0.11/0.33 % (8059)------------------------------ 0.11/0.33 % (8059)------------------------------ 0.11/0.33 % (8060)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) 0.11/0.34 % (8061)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) 0.11/0.34 % (8061)Instruction limit reached! 0.11/0.34 % (8061)------------------------------ 0.11/0.34 % (8061)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.34 % (8061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.34 % (8061)Termination reason: Unknown 0.11/0.34 % (8061)Termination phase: Saturation 0.11/0.34 0.11/0.34 % (8061)Memory used [KB]: 5500 0.11/0.34 % (8061)Time elapsed: 0.003 s 0.11/0.34 % (8061)Instructions burned: 4 (million) 0.11/0.34 % (8061)------------------------------ 0.11/0.34 % (8061)------------------------------ 0.11/0.34 % (8062)lrs+10_1:1_canc=force:tha=some:to=lpo:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.11/0.34 % (8057)Instruction limit reached! 0.11/0.34 % (8057)------------------------------ 0.11/0.34 % (8057)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.34 % (8057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.34 % (8057)Termination reason: Unknown 0.11/0.34 % (8057)Termination phase: Saturation 0.11/0.34 0.11/0.34 % (8057)Memory used [KB]: 5628 0.11/0.34 % (8057)Time elapsed: 0.015 s 0.11/0.34 % (8057)Instructions burned: 37 (million) 0.11/0.34 % (8057)------------------------------ 0.11/0.34 % (8057)------------------------------ 0.11/0.35 % (8063)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) 0.11/0.35 % (8063)Instruction limit reached! 0.11/0.35 % (8063)------------------------------ 0.11/0.35 % (8063)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.35 % (8063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.35 % (8063)Termination reason: Unknown 0.11/0.35 % (8063)Termination phase: Property scanning 0.11/0.35 0.11/0.35 % (8060)Instruction limit reached! 0.11/0.35 % (8060)------------------------------ 0.11/0.35 % (8060)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.35 % (8060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.35 % (8060)Termination reason: Unknown 0.11/0.35 % (8060)Termination phase: Saturation 0.11/0.35 0.11/0.35 % (8060)Memory used [KB]: 5756 0.11/0.35 % (8060)Time elapsed: 0.014 s 0.11/0.35 % (8060)Instructions burned: 29 (million) 0.11/0.35 % (8060)------------------------------ 0.11/0.35 % (8060)------------------------------ 0.11/0.35 % (8063)Memory used [KB]: 895 0.11/0.35 % (8063)Time elapsed: 0.002 s 0.11/0.35 % (8063)Instructions burned: 2 (million) 0.11/0.35 % (8063)------------------------------ 0.11/0.35 % (8063)------------------------------ 0.11/0.35 % (8062)Instruction limit reached! 0.11/0.35 % (8062)------------------------------ 0.11/0.35 % (8062)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.35 % (8062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.35 % (8062)Termination reason: Unknown 0.11/0.35 % (8062)Termination phase: Saturation 0.11/0.35 0.11/0.35 % (8062)Memory used [KB]: 5500 0.11/0.35 % (8062)Time elapsed: 0.014 s 0.11/0.35 % (8062)Instructions burned: 39 (million) 0.11/0.35 % (8062)------------------------------ 0.11/0.35 % (8062)------------------------------ 0.11/0.36 % (8064)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/32Mi) 0.11/0.36 % (8065)dis+10_1:64_nwc=1.4:tha=off:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/19Mi) 0.11/0.36 % (8065)Refutation not found, incomplete strategy% (8065)------------------------------ 0.11/0.36 % (8065)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.36 % (8065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.36 % (8065)Termination reason: Refutation not found, incomplete strategy 0.11/0.36 0.11/0.36 % (8065)Memory used [KB]: 5373 0.11/0.36 % (8065)Time elapsed: 0.002 s 0.11/0.36 % (8065)Instructions burned: 2 (million) 0.11/0.36 % (8065)------------------------------ 0.11/0.36 % (8065)------------------------------ 0.11/0.37 % (8066)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) 0.11/0.38 % (8067)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/3Mi) 0.11/0.38 % (8064)Instruction limit reached! 0.11/0.38 % (8064)------------------------------ 0.11/0.38 % (8064)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.38 % (8064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.38 % (8064)Termination reason: Unknown 0.11/0.38 % (8064)Termination phase: Saturation 0.11/0.38 0.11/0.38 % (8064)Memory used [KB]: 5884 0.11/0.38 % (8064)Time elapsed: 0.024 s 0.11/0.38 % (8064)Instructions burned: 32 (million) 0.11/0.38 % (8064)------------------------------ 0.11/0.38 % (8064)------------------------------ 0.11/0.39 % (8067)Refutation not found, incomplete strategy% (8067)------------------------------ 0.11/0.39 % (8067)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.39 % (8067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.39 % (8067)Termination reason: Refutation not found, incomplete strategy 0.11/0.39 0.11/0.39 % (8067)Memory used [KB]: 5373 0.11/0.39 % (8067)Time elapsed: 0.003 s 0.11/0.39 % (8067)Instructions burned: 2 (million) 0.11/0.39 % (8067)------------------------------ 0.11/0.39 % (8067)------------------------------ 0.11/0.39 % (8068)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) 0.11/0.40 % (8070)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) 0.11/0.40 % (8070)Refutation not found, incomplete strategy% (8070)------------------------------ 0.11/0.40 % (8070)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.40 % (8070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.40 % (8070)Termination reason: Refutation not found, incomplete strategy 0.11/0.40 0.11/0.40 % (8070)Memory used [KB]: 5373 0.11/0.40 % (8070)Time elapsed: 0.002 s 0.11/0.40 % (8070)Instructions burned: 2 (million) 0.11/0.40 % (8070)------------------------------ 0.11/0.40 % (8070)------------------------------ 0.11/0.40 % (8049)First to succeed. 0.11/0.40 % (8076)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) 0.11/0.40 % (8066)Instruction limit reached! 0.11/0.40 % (8066)------------------------------ 0.11/0.40 % (8066)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.40 % (8066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.40 % (8066)Termination reason: Unknown 0.11/0.40 % (8066)Termination phase: Saturation 0.11/0.40 0.11/0.40 % (8066)Memory used [KB]: 6140 0.11/0.40 % (8066)Time elapsed: 0.028 s 0.11/0.40 % (8066)Instructions burned: 49 (million) 0.11/0.40 % (8066)------------------------------ 0.11/0.40 % (8066)------------------------------ 0.11/0.40 % (8049)Refutation found. Thanks to Tanya! 0.11/0.40 % SZS status Theorem for theBenchmark 0.11/0.40 % SZS output start Proof for theBenchmark 0.11/0.40 tff(func_def_0, type, a: $int). 0.11/0.40 tff(func_def_1, type, b: $int). 0.11/0.40 tff(f1897,plain,( 0.11/0.40 $false), 0.11/0.40 inference(avatar_smt_refutation,[],[f35,f39,f202,f287,f1204,f1205,f1818,f1874,f1876,f1878,f1881,f1886,f1890])). 0.11/0.40 tff(f1890,plain,( 0.11/0.40 ~spl0_3 | ~spl0_4), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1889])). 0.11/0.40 tff(f1889,plain,( 0.11/0.40 $false | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(evaluation,[],[f1888])). 0.11/0.40 tff(f1888,plain,( 0.11/0.40 0 = $sum(15,0) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(forward_demodulation,[],[f1887,f52])). 0.11/0.40 tff(f52,plain,( 0.11/0.40 ( ! [X1 : $int] : (0 = $product(0,X1)) )), 0.11/0.40 inference(superposition,[],[f16,f19])). 0.11/0.40 tff(f19,plain,( 0.11/0.40 ( ! [X0 : $int] : (0 = $product(X0,0)) )), 0.11/0.40 introduced(theory_axiom_154,[])). 0.11/0.40 tff(f16,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : ($product(X1,X0) = $product(X0,X1)) )), 0.11/0.40 introduced(theory_axiom_140,[])). 0.11/0.40 tff(f1887,plain,( 0.11/0.40 ( ! [X10 : $int] : (0 = $sum(15,$product(0,X10))) ) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(forward_demodulation,[],[f1827,f52])). 0.11/0.40 tff(f1827,plain,( 0.11/0.40 ( ! [X10 : $int] : ($sum(15,$product(0,X10)) = $product(0,$sum(b,X10))) ) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(backward_demodulation,[],[f158,f34])). 0.11/0.40 tff(f34,plain,( 0.11/0.40 a = 0 | ~spl0_3), 0.11/0.40 inference(avatar_component_clause,[],[f33])). 0.11/0.40 tff(f33,plain,( 0.11/0.40 spl0_3 <=> a = 0), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_3])])). 0.11/0.40 tff(f158,plain,( 0.11/0.40 ( ! [X10 : $int] : ($product(a,$sum(b,X10)) = $sum(15,$product(a,X10))) ) | ~spl0_4), 0.11/0.40 inference(superposition,[],[f20,f38])). 0.11/0.40 tff(f38,plain,( 0.11/0.40 15 = $product(a,b) | ~spl0_4), 0.11/0.40 inference(avatar_component_clause,[],[f37])). 0.11/0.40 tff(f37,plain,( 0.11/0.40 spl0_4 <=> 15 = $product(a,b)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_4])])). 0.11/0.40 tff(f20,plain,( 0.11/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )), 0.11/0.40 introduced(theory_axiom_155,[])). 0.11/0.40 tff(f1886,plain,( 0.11/0.40 ~spl0_3 | ~spl0_4), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1885])). 0.11/0.40 tff(f1885,plain,( 0.11/0.40 $false | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(evaluation,[],[f1884])). 0.11/0.40 tff(f1884,plain,( 0.11/0.40 0 = 15 | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(forward_demodulation,[],[f1883,f52])). 0.11/0.40 tff(f1883,plain,( 0.11/0.40 ( ! [X10 : $int] : (15 = $product(0,$sum(X10,b))) ) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(evaluation,[],[f1882])). 0.11/0.40 tff(f1882,plain,( 0.11/0.40 ( ! [X10 : $int] : ($sum(0,15) = $product(0,$sum(X10,b))) ) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(forward_demodulation,[],[f1828,f52])). 0.11/0.40 tff(f1828,plain,( 0.11/0.40 ( ! [X10 : $int] : ($product(0,$sum(X10,b)) = $sum($product(0,X10),15)) ) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(backward_demodulation,[],[f165,f34])). 0.11/0.40 tff(f165,plain,( 0.11/0.40 ( ! [X10 : $int] : ($sum($product(a,X10),15) = $product(a,$sum(X10,b))) ) | ~spl0_4), 0.11/0.40 inference(superposition,[],[f20,f38])). 0.11/0.40 tff(f1881,plain,( 0.11/0.40 ~spl0_3 | ~spl0_4), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1880])). 0.11/0.40 tff(f1880,plain,( 0.11/0.40 $false | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(evaluation,[],[f1879])). 0.11/0.40 tff(f1879,plain,( 0.11/0.40 0 = 15 | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(forward_demodulation,[],[f1820,f52])). 0.11/0.40 tff(f1820,plain,( 0.11/0.40 15 = $product(0,b) | (~spl0_3 | ~spl0_4)), 0.11/0.40 inference(backward_demodulation,[],[f38,f34])). 0.11/0.40 tff(f1878,plain,( 0.11/0.40 ~spl0_3 | ~spl0_5), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1877])). 0.11/0.40 tff(f1877,plain,( 0.11/0.40 $false | (~spl0_3 | ~spl0_5)), 0.11/0.40 inference(evaluation,[],[f1830])). 0.11/0.40 tff(f1830,plain,( 0.11/0.40 $less(1,0) | (~spl0_3 | ~spl0_5)), 0.11/0.40 inference(backward_demodulation,[],[f201,f34])). 0.11/0.40 tff(f201,plain,( 0.11/0.40 $less(1,a) | ~spl0_5), 0.11/0.40 inference(avatar_component_clause,[],[f200])). 0.11/0.40 tff(f200,plain,( 0.11/0.40 spl0_5 <=> $less(1,a)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_5])])). 0.11/0.40 tff(f1876,plain,( 0.11/0.40 ~spl0_3 | ~spl0_6), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1875])). 0.11/0.40 tff(f1875,plain,( 0.11/0.40 $false | (~spl0_3 | ~spl0_6)), 0.11/0.40 inference(evaluation,[],[f1835])). 0.11/0.40 tff(f1835,plain,( 0.11/0.40 $less(0,0) | (~spl0_3 | ~spl0_6)), 0.11/0.40 inference(backward_demodulation,[],[f286,f34])). 0.11/0.40 tff(f286,plain,( 0.11/0.40 $less(0,a) | ~spl0_6), 0.11/0.40 inference(avatar_component_clause,[],[f285])). 0.11/0.40 tff(f285,plain,( 0.11/0.40 spl0_6 <=> $less(0,a)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_6])])). 0.11/0.40 tff(f1874,plain,( 0.11/0.40 ~spl0_1 | ~spl0_3), 0.11/0.40 inference(avatar_contradiction_clause,[],[f1873])). 0.11/0.40 tff(f1873,plain,( 0.11/0.40 $false | (~spl0_1 | ~spl0_3)), 0.11/0.40 inference(evaluation,[],[f1819])). 0.11/0.40 tff(f1819,plain,( 0.11/0.40 $less(15,0) | (~spl0_1 | ~spl0_3)), 0.11/0.40 inference(backward_demodulation,[],[f28,f34])). 0.11/0.40 tff(f28,plain,( 0.11/0.40 $less(15,a) | ~spl0_1), 0.11/0.40 inference(avatar_component_clause,[],[f27])). 0.11/0.40 tff(f27,plain,( 0.11/0.40 spl0_1 <=> $less(15,a)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_1])])). 0.11/0.40 tff(f1818,plain,( 0.11/0.40 spl0_3 | spl0_8 | ~spl0_4), 0.11/0.40 inference(avatar_split_clause,[],[f208,f37,f1816,f33])). 0.11/0.40 tff(f1816,plain,( 0.11/0.40 spl0_8 <=> ! [X10 : $int] : (15 != $product(a,X10) | b = X10)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_8])])). 0.11/0.40 tff(f208,plain,( 0.11/0.40 ( ! [X10 : $int] : (15 != $product(a,X10) | b = X10 | a = 0) ) | ~spl0_4), 0.11/0.40 inference(superposition,[],[f189,f38])). 0.11/0.40 tff(f189,plain,( 0.11/0.40 ( ! [X2 : $int,X3 : $int,X0 : $int] : ($product(X0,X3) != $product(X0,X2) | X2 = X3 | 0 = X0) )), 0.11/0.40 inference(gaussian_variable_elimination,[],[f21])). 0.11/0.40 tff(f21,plain,( 0.11/0.40 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($product(X0,X3) != X1 | $product(X0,X2) != X1 | 0 = X0 | X2 = X3) )), 0.11/0.40 introduced(theory_axiom_156,[])). 0.11/0.40 tff(f1205,plain,( 0.11/0.40 spl0_7 | ~spl0_6), 0.11/0.40 inference(avatar_split_clause,[],[f1198,f285,f1202])). 0.11/0.40 tff(f1202,plain,( 0.11/0.40 spl0_7 <=> $less(-1,a)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_7])])). 0.11/0.40 tff(f1198,plain,( 0.11/0.40 $less(-1,a) | ~spl0_6), 0.11/0.40 inference(subsumption_resolution,[],[f1197,f10])). 0.11/0.40 tff(f10,plain,( 0.11/0.40 ( ! [X0 : $int] : (~$less(X0,X0)) )), 0.11/0.40 introduced(theory_axiom_147,[])). 0.11/0.40 tff(f1197,plain,( 0.11/0.40 ( ! [X3 : $int] : ($less(X3,X3) | $less(-1,a)) ) | ~spl0_6), 0.11/0.40 inference(evaluation,[],[f1171])). 0.11/0.40 tff(f1171,plain,( 0.11/0.40 ( ! [X3 : $int] : ($less(X3,X3) | $less($uminus(1),a)) ) | ~spl0_6), 0.11/0.40 inference(resolution,[],[f881,f60])). 0.11/0.40 tff(f60,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(1,X0)) | $less(X0,X1)) )), 0.11/0.40 inference(superposition,[],[f14,f5])). 0.11/0.40 tff(f5,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.11/0.40 introduced(theory_axiom_140,[])). 0.11/0.40 tff(f14,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )), 0.11/0.40 introduced(theory_axiom_152,[])). 0.11/0.40 tff(f881,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,X1)) | $less($uminus(X0),a)) ) | ~spl0_6), 0.11/0.40 inference(superposition,[],[f658,f15])). 0.11/0.40 tff(f15,plain,( 0.11/0.40 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )), 0.11/0.40 introduced(theory_axiom_153,[])). 0.11/0.40 tff(f658,plain,( 0.11/0.40 ( ! [X6 : $int,X5 : $int] : (~$less(X6,$sum($uminus(X5),X6)) | $less(X5,a)) ) | ~spl0_6), 0.11/0.40 inference(superposition,[],[f527,f132])). 0.11/0.40 tff(f132,plain,( 0.11/0.40 ( ! [X2 : $int,X3 : $int] : ($sum(X2,$sum($uminus(X2),X3)) = X3) )), 0.11/0.40 inference(forward_demodulation,[],[f113,f41])). 0.11/0.40 tff(f41,plain,( 0.11/0.40 ( ! [X0 : $int] : ($sum(0,X0) = X0) )), 0.11/0.40 inference(superposition,[],[f5,f7])). 0.11/0.40 tff(f7,plain,( 0.11/0.40 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 0.11/0.40 introduced(theory_axiom_142,[])). 0.11/0.40 tff(f113,plain,( 0.11/0.40 ( ! [X2 : $int,X3 : $int] : ($sum(0,X3) = $sum(X2,$sum($uminus(X2),X3))) )), 0.11/0.40 inference(superposition,[],[f6,f9])). 0.11/0.40 tff(f9,plain,( 0.11/0.40 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 0.11/0.40 introduced(theory_axiom_145,[])). 0.11/0.40 tff(f6,plain,( 0.11/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 0.11/0.40 introduced(theory_axiom_141,[])). 0.11/0.40 tff(f527,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X1,X0),X0) | $less(X1,a)) ) | ~spl0_6), 0.11/0.40 inference(superposition,[],[f485,f5])). 0.11/0.40 tff(f485,plain,( 0.11/0.40 ( ! [X8 : $int,X9 : $int] : (~$less($sum(X8,X9),X8) | $less(X9,a)) ) | ~spl0_6), 0.11/0.40 inference(evaluation,[],[f483])). 0.11/0.40 tff(f483,plain,( 0.11/0.40 ( ! [X8 : $int,X9 : $int] : ($less(X9,a) | ~$less($sum($uminus($uminus(X8)),X9),X8)) ) | ~spl0_6), 0.11/0.40 inference(superposition,[],[f436,f132])). 0.11/0.40 tff(f436,plain,( 0.11/0.40 ( ! [X2 : $int,X1 : $int] : ($less($sum($uminus(X2),X1),a) | ~$less(X1,X2)) ) | ~spl0_6), 0.11/0.40 inference(superposition,[],[f420,f5])). 0.11/0.40 tff(f420,plain,( 0.11/0.40 ( ! [X3 : $int,X4 : $int] : ($less($sum(X3,$uminus(X4)),a) | ~$less(X3,X4)) ) | ~spl0_6), 0.11/0.40 inference(resolution,[],[f105,f288])). 0.11/0.40 tff(f288,plain,( 0.11/0.40 ( ! [X0 : $int] : (~$less(X0,0) | $less(X0,a)) ) | ~spl0_6), 0.11/0.40 inference(resolution,[],[f286,f11])). 0.11/0.40 tff(f11,plain,( 0.11/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X1,X2) | $less(X0,X2) | ~$less(X0,X1)) )), 0.11/0.40 introduced(theory_axiom_148,[])). 0.11/0.40 tff(f105,plain,( 0.11/0.40 ( ! [X2 : $int,X3 : $int] : ($less($sum(X3,$uminus(X2)),0) | ~$less(X3,X2)) )), 0.11/0.40 inference(superposition,[],[f13,f9])). 0.11/0.40 tff(f13,plain,( 0.11/0.40 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )), 0.11/0.40 introduced(theory_axiom_150,[])). 0.11/0.40 tff(f1204,plain,( 0.11/0.40 spl0_7 | ~spl0_6), 0.11/0.40 inference(avatar_split_clause,[],[f1192,f285,f1202])). 0.11/0.40 tff(f1192,plain,( 0.11/0.40 $less(-1,a) | ~spl0_6), 0.11/0.40 inference(evaluation,[],[f1170])). 0.11/0.40 tff(f1170,plain,( 0.11/0.40 $less($uminus(1),a) | ~spl0_6), 0.11/0.40 inference(resolution,[],[f881,f59])). 0.11/0.40 tff(f59,plain,( 0.11/0.40 ( ! [X0 : $int] : ($less(X0,$sum(X0,1))) )), 0.11/0.40 inference(resolution,[],[f14,f10])). 0.11/0.40 tff(f287,plain,( 0.11/0.40 spl0_6 | ~spl0_1), 0.11/0.40 inference(avatar_split_clause,[],[f272,f27,f285])). 0.11/0.40 tff(f272,plain,( 0.11/0.40 $less(0,a) | ~spl0_1), 0.11/0.40 inference(evaluation,[],[f267])). 0.11/0.40 tff(f267,plain,( 0.11/0.40 ~$less($uminus(1),15) | 0 = 15 | $less(0,a) | ~spl0_1), 0.11/0.40 inference(superposition,[],[f81,f40])). 0.11/0.40 tff(f40,plain,( 0.11/0.40 ( ! [X0 : $int] : (0 = $sum($uminus(X0),X0)) )), 0.11/0.40 inference(superposition,[],[f9,f15])). 0.11/0.40 tff(f81,plain,( 0.11/0.40 ( ! [X2 : $int] : ($less($sum(X2,1),a) | ~$less(X2,15) | 15 = $sum(X2,1)) ) | ~spl0_1), 0.11/0.40 inference(resolution,[],[f75,f22])). 0.11/0.40 tff(f22,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 0.11/0.40 introduced(theory_axiom_166,[])). 0.11/0.40 tff(f75,plain,( 0.11/0.40 ( ! [X4 : $int] : ($less(15,X4) | 15 = X4 | $less(X4,a)) ) | ~spl0_1), 0.11/0.40 inference(resolution,[],[f12,f71])). 0.11/0.40 tff(f71,plain,( 0.11/0.40 ( ! [X0 : $int] : (~$less(X0,15) | $less(X0,a)) ) | ~spl0_1), 0.11/0.40 inference(resolution,[],[f11,f28])). 0.11/0.40 tff(f12,plain,( 0.11/0.40 ( ! [X0 : $int,X1 : $int] : ($less(X1,X0) | $less(X0,X1) | X0 = X1) )), 0.11/0.40 introduced(theory_axiom_149,[])). 0.11/0.40 tff(f202,plain,( 0.11/0.40 spl0_5 | ~spl0_1), 0.11/0.40 inference(avatar_split_clause,[],[f188,f27,f200])). 0.11/0.40 tff(f188,plain,( 0.11/0.40 $less(1,a) | ~spl0_1), 0.11/0.40 inference(evaluation,[],[f186])). 0.11/0.40 tff(f186,plain,( 0.11/0.40 ~$less(0,15) | 15 = 1 | $less(1,a) | ~spl0_1), 0.11/0.40 inference(superposition,[],[f81,f41])). 0.11/0.40 tff(f39,plain,( 0.11/0.40 spl0_4), 0.11/0.40 inference(avatar_split_clause,[],[f24,f37])). 0.11/0.40 tff(f24,plain,( 0.11/0.40 15 = $product(a,b)), 0.11/0.40 inference(cnf_transformation,[],[f3])). 0.11/0.40 tff(f3,axiom,( 0.11/0.40 15 = $product(a,b)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.11/0.40 tff(f35,plain,( 0.11/0.40 spl0_1 | spl0_2 | spl0_3), 0.11/0.40 inference(avatar_split_clause,[],[f25,f33,f30,f27])). 0.11/0.40 tff(f30,plain,( 0.11/0.40 spl0_2 <=> $less(a,-15)), 0.11/0.40 introduced(avatar_definition,[new_symbols(naming,[spl0_2])])). 0.11/0.40 tff(f25,plain,( 0.11/0.40 a = 0 | $less(a,-15) | $less(15,a)), 0.11/0.40 inference(cnf_transformation,[],[f23])). 0.11/0.40 tff(f23,plain,( 0.11/0.40 $less(a,-15) | a = 0 | $less(15,a)), 0.11/0.40 inference(ennf_transformation,[],[f4])). 0.11/0.40 tff(f4,plain,( 0.11/0.40 ~(a != 0 & ~$less(15,a) & ~$less(a,-15))), 0.11/0.40 inference(theory_normalization,[],[f2])). 0.11/0.40 tff(f2,negated_conjecture,( 0.11/0.40 ~($lesseq(a,15) & a != 0 & $greatereq(a,-15))), 0.11/0.40 inference(negated_conjecture,[],[f1])). 0.11/0.40 tff(f1,conjecture,( 0.11/0.40 $lesseq(a,15) & a != 0 & $greatereq(a,-15)), 0.11/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_001)). 0.11/0.40 % SZS output end Proof for theBenchmark 0.11/0.40 % (8049)------------------------------ 0.11/0.40 % (8049)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.11/0.40 % (8049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.11/0.40 % (8049)Termination reason: Refutation 0.11/0.40 0.11/0.40 % (8049)Memory used [KB]: 2430 0.11/0.40 % (8049)Time elapsed: 0.102 s 0.11/0.40 % (8049)Instructions burned: 226 (million) 0.11/0.40 % (8049)------------------------------ 0.11/0.40 % (8049)------------------------------ 0.11/0.40 % (8048)Success in time 0.125 s 0.11/0.40 EOF