0.12/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.12/0.34 % Computer : n010.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 02:28:35 EDT 2022 0.12/0.34 % CPUTime : 0.12/0.40 % (29500)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) 0.12/0.40 % (29495)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) 0.12/0.41 % (29499)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) 0.12/0.41 % (29497)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) 0.12/0.41 % (29501)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) 0.12/0.41 % (29502)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) 0.12/0.41 % (29498)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) 0.12/0.41 % (29498)Instruction limit reached! 0.12/0.41 % (29498)------------------------------ 0.12/0.41 % (29498)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.12/0.41 % (29498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.41 % (29498)Termination reason: Unknown 0.12/0.41 % (29498)Termination phase: Property scanning 0.12/0.41 0.12/0.41 % (29498)Memory used [KB]: 895 0.12/0.41 % (29498)Time elapsed: 0.004 s 0.12/0.41 % (29498)Instructions burned: 2 (million) 0.12/0.41 % (29498)------------------------------ 0.12/0.41 % (29498)------------------------------ 0.12/0.41 % (29501)Instruction limit reached! 0.12/0.41 % (29501)------------------------------ 0.12/0.41 % (29501)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.12/0.41 % (29501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.41 % (29501)Termination reason: Unknown 0.12/0.41 % (29501)Termination phase: Blocked clause elimination 0.12/0.41 0.12/0.41 % (29501)Memory used [KB]: 1023 0.12/0.41 % (29501)Time elapsed: 0.004 s 0.12/0.41 % (29501)Instructions burned: 2 (million) 0.12/0.41 % (29501)------------------------------ 0.12/0.41 % (29501)------------------------------ 0.12/0.41 % (29496)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) 0.12/0.41 % (29497)Instruction limit reached! 0.12/0.41 % (29497)------------------------------ 0.12/0.41 % (29497)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.12/0.41 % (29497)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.12/0.41 % (29497)Termination reason: Unknown 0.12/0.41 % (29497)Termination phase: Saturation 0.12/0.41 0.12/0.41 % (29497)Memory used [KB]: 5628 0.12/0.41 % (29497)Time elapsed: 0.011 s 0.12/0.41 % (29497)Instructions burned: 9 (million) 0.12/0.41 % (29497)------------------------------ 0.12/0.41 % (29497)------------------------------ 0.19/0.42 % (29499)Instruction limit reached! 0.19/0.42 % (29499)------------------------------ 0.19/0.42 % (29499)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.42 % (29499)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.42 % (29499)Termination reason: Unknown 0.19/0.42 % (29499)Termination phase: Saturation 0.19/0.42 0.19/0.42 % (29499)Memory used [KB]: 5628 0.19/0.42 % (29499)Time elapsed: 0.015 s 0.19/0.42 % (29499)Instructions burned: 15 (million) 0.19/0.42 % (29499)------------------------------ 0.19/0.42 % (29499)------------------------------ 0.19/0.43 % (29500)Instruction limit reached! 0.19/0.43 % (29500)------------------------------ 0.19/0.43 % (29500)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.43 % (29500)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.43 % (29500)Termination reason: Unknown 0.19/0.43 % (29500)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (29502)Instruction limit reached! 0.19/0.43 % (29502)------------------------------ 0.19/0.43 % (29502)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.43 % (29502)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.43 % (29502)Termination reason: Unknown 0.19/0.43 % (29502)Termination phase: Saturation 0.19/0.43 0.19/0.43 % (29502)Memory used [KB]: 5628 0.19/0.43 % (29502)Time elapsed: 0.022 s 0.19/0.43 % (29502)Instructions burned: 29 (million) 0.19/0.43 % (29502)------------------------------ 0.19/0.43 % (29502)------------------------------ 0.19/0.43 % (29500)Memory used [KB]: 5756 0.19/0.43 % (29500)Time elapsed: 0.024 s 0.19/0.43 % (29500)Instructions burned: 24 (million) 0.19/0.43 % (29500)------------------------------ 0.19/0.43 % (29500)------------------------------ 0.19/0.45 % (29496)Instruction limit reached! 0.19/0.45 % (29496)------------------------------ 0.19/0.45 % (29496)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.45 % (29496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.45 % (29496)Termination reason: Unknown 0.19/0.45 % (29496)Termination phase: Saturation 0.19/0.45 0.19/0.45 % (29496)Memory used [KB]: 6012 0.19/0.45 % (29496)Time elapsed: 0.041 s 0.19/0.45 % (29496)Instructions burned: 41 (million) 0.19/0.45 % (29496)------------------------------ 0.19/0.45 % (29496)------------------------------ 0.19/0.47 % (29508)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) 0.19/0.47 % (29513)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) 0.19/0.47 % (29512)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) 0.19/0.47 % (29512)Instruction limit reached! 0.19/0.47 % (29512)------------------------------ 0.19/0.47 % (29512)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.47 % (29512)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.47 % (29512)Termination reason: Unknown 0.19/0.47 % (29512)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (29512)Memory used [KB]: 1023 0.19/0.47 % (29512)Time elapsed: 0.003 s 0.19/0.47 % (29512)Instructions burned: 3 (million) 0.19/0.47 % (29512)------------------------------ 0.19/0.47 % (29512)------------------------------ 0.19/0.47 % (29509)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) 0.19/0.47 % (29509)Instruction limit reached! 0.19/0.47 % (29509)------------------------------ 0.19/0.47 % (29509)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.47 % (29509)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.47 % (29509)Termination reason: Unknown 0.19/0.47 % (29509)Termination phase: Saturation 0.19/0.47 0.19/0.47 % (29509)Memory used [KB]: 1023 0.19/0.47 % (29509)Time elapsed: 0.003 s 0.19/0.47 % (29509)Instructions burned: 3 (million) 0.19/0.47 % (29509)------------------------------ 0.19/0.47 % (29509)------------------------------ 0.19/0.47 % (29515)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) 0.19/0.48 % (29515)Instruction limit reached! 0.19/0.48 % (29515)------------------------------ 0.19/0.48 % (29515)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.48 % (29515)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.48 % (29515)Termination reason: Unknown 0.19/0.48 % (29515)Termination phase: Saturation 0.19/0.48 0.19/0.48 % (29515)Memory used [KB]: 5500 0.19/0.48 % (29515)Time elapsed: 0.003 s 0.19/0.48 % (29515)Instructions burned: 3 (million) 0.19/0.48 % (29515)------------------------------ 0.19/0.48 % (29515)------------------------------ 0.19/0.48 % (29516)lrs+10_1:1_canc=force:tha=some:to=lpo:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.19/0.48 % (29513)Instruction limit reached! 0.19/0.48 % (29513)------------------------------ 0.19/0.48 % (29513)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.48 % (29513)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.48 % (29513)Termination reason: Unknown 0.19/0.48 % (29513)Termination phase: Saturation 0.19/0.48 0.19/0.48 % (29513)Memory used [KB]: 5884 0.19/0.48 % (29513)Time elapsed: 0.015 s 0.19/0.48 % (29513)Instructions burned: 28 (million) 0.19/0.48 % (29513)------------------------------ 0.19/0.48 % (29513)------------------------------ 0.19/0.48 % (29508)Instruction limit reached! 0.19/0.48 % (29508)------------------------------ 0.19/0.48 % (29508)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.48 % (29508)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.48 % (29508)Termination reason: Unknown 0.19/0.48 % (29508)Termination phase: Saturation 0.19/0.48 0.19/0.48 % (29508)Memory used [KB]: 6012 0.19/0.48 % (29508)Time elapsed: 0.022 s 0.19/0.48 % (29508)Instructions burned: 36 (million) 0.19/0.48 % (29508)------------------------------ 0.19/0.48 % (29508)------------------------------ 0.19/0.49 % (29528)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) 0.19/0.49 % (29528)Instruction limit reached! 0.19/0.49 % (29528)------------------------------ 0.19/0.49 % (29528)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.49 % (29528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.49 % (29528)Termination reason: Unknown 0.19/0.49 % (29528)Termination phase: Saturation 0.19/0.49 0.19/0.49 % (29528)Memory used [KB]: 1023 0.19/0.49 % (29528)Time elapsed: 0.003 s 0.19/0.49 % (29528)Instructions burned: 3 (million) 0.19/0.49 % (29528)------------------------------ 0.19/0.49 % (29528)------------------------------ 0.19/0.49 % (29516)Instruction limit reached! 0.19/0.49 % (29516)------------------------------ 0.19/0.49 % (29516)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.49 % (29516)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.49 % (29516)Termination reason: Unknown 0.19/0.49 % (29516)Termination phase: Saturation 0.19/0.49 0.19/0.49 % (29516)Memory used [KB]: 5756 0.19/0.49 % (29516)Time elapsed: 0.017 s 0.19/0.49 % (29516)Instructions burned: 38 (million) 0.19/0.49 % (29516)------------------------------ 0.19/0.49 % (29516)------------------------------ 0.19/0.51 % (29542)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/32Mi) 0.19/0.51 % (29542)Refutation not found, incomplete strategy% (29542)------------------------------ 0.19/0.51 % (29542)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.51 % (29542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.51 % (29542)Termination reason: Refutation not found, incomplete strategy 0.19/0.51 0.19/0.51 % (29542)Memory used [KB]: 5500 0.19/0.51 % (29542)Time elapsed: 0.002 s 0.19/0.51 % (29542)Instructions burned: 2 (million) 0.19/0.51 % (29542)------------------------------ 0.19/0.51 % (29542)------------------------------ 0.19/0.51 % (29545)dis+10_1:64_nwc=1.4:tha=off:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/19Mi) 0.19/0.51 % (29552)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) 0.19/0.52 % (29556)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/3Mi) 0.19/0.52 % (29556)Instruction limit reached! 0.19/0.52 % (29556)------------------------------ 0.19/0.52 % (29556)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.52 % (29556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.52 % (29556)Termination reason: Unknown 0.19/0.52 % (29556)Termination phase: Saturation 0.19/0.52 0.19/0.52 % (29556)Memory used [KB]: 5500 0.19/0.52 % (29556)Time elapsed: 0.003 s 0.19/0.52 % (29556)Instructions burned: 4 (million) 0.19/0.52 % (29556)------------------------------ 0.19/0.52 % (29556)------------------------------ 0.19/0.52 % (29545)Instruction limit reached! 0.19/0.52 % (29545)------------------------------ 0.19/0.52 % (29545)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.52 % (29545)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.52 % (29545)Termination reason: Unknown 0.19/0.52 % (29545)Termination phase: Saturation 0.19/0.52 0.19/0.52 % (29545)Memory used [KB]: 5628 0.19/0.52 % (29545)Time elapsed: 0.009 s 0.19/0.52 % (29545)Instructions burned: 19 (million) 0.19/0.52 % (29545)------------------------------ 0.19/0.52 % (29545)------------------------------ 0.19/0.52 % (29562)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 (1198ds/50Mi) 0.19/0.53 % (29570)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (1198ds/23Mi) 0.19/0.53 % (29565)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 (1198ds/13Mi) 0.19/0.53 % (29562)First to succeed. 0.19/0.53 % (29562)Refutation found. Thanks to Tanya! 0.19/0.53 % SZS status Theorem for theBenchmark 0.19/0.53 % SZS output start Proof for theBenchmark 0.19/0.53 tff(type_def_5, type, list: $tType). 0.19/0.53 tff(func_def_0, type, nil: list). 0.19/0.53 tff(func_def_1, type, cons: ($int * list) > list). 0.19/0.53 tff(func_def_2, type, head: (list) > $int). 0.19/0.53 tff(func_def_3, type, tail: (list) > list). 0.19/0.53 tff(func_def_10, type, sK0: (list * $int) > $int). 0.19/0.53 tff(func_def_11, type, sK1: (list * $int) > list). 0.19/0.53 tff(pred_def_1, type, inRange: ($int * list) > $o). 0.19/0.53 tff(f416,plain,( 0.19/0.53 $false), 0.19/0.53 inference(avatar_sat_refutation,[],[f278,f385,f408])). 0.19/0.53 tff(f408,plain,( 0.19/0.53 ~spl2_2), 0.19/0.53 inference(avatar_contradiction_clause,[],[f407])). 0.19/0.53 tff(f407,plain,( 0.19/0.53 $false | ~spl2_2), 0.19/0.53 inference(evaluation,[],[f387])). 0.19/0.53 tff(f387,plain,( 0.19/0.53 ~$less(1,2) | $less(1,1) | ~spl2_2), 0.19/0.53 inference(resolution,[],[f277,f21])). 0.19/0.53 tff(f21,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )), 0.19/0.53 introduced(theory_axiom_166,[])). 0.19/0.53 tff(f277,plain,( 0.19/0.53 ( ! [X16 : $int] : ($less(2,$sum(1,X16)) | $less(X16,1)) ) | ~spl2_2), 0.19/0.53 inference(avatar_component_clause,[],[f276])). 0.19/0.53 tff(f276,plain,( 0.19/0.53 spl2_2 <=> ! [X16 : $int] : ($less(2,$sum(1,X16)) | $less(X16,1))), 0.19/0.53 introduced(avatar_definition,[new_symbols(naming,[spl2_2])])). 0.19/0.53 tff(f385,plain,( 0.19/0.53 ~spl2_1), 0.19/0.53 inference(avatar_contradiction_clause,[],[f378])). 0.19/0.53 tff(f378,plain,( 0.19/0.53 $false | ~spl2_1), 0.19/0.53 inference(unit_resulting_resolution,[],[f41,f274])). 0.19/0.53 tff(f274,plain,( 0.19/0.53 nil = cons(0,nil) | ~spl2_1), 0.19/0.53 inference(avatar_component_clause,[],[f273])). 0.19/0.53 tff(f273,plain,( 0.19/0.53 spl2_1 <=> nil = cons(0,nil)), 0.19/0.53 introduced(avatar_definition,[new_symbols(naming,[spl2_1])])). 0.19/0.53 tff(f41,plain,( 0.19/0.53 ( ! [X0 : list,X1 : $int] : (nil != cons(X1,X0)) )), 0.19/0.53 inference(cnf_transformation,[],[f22])). 0.19/0.53 tff(f22,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : nil != cons(X1,X0)), 0.19/0.53 inference(rectify,[],[f7])). 0.19/0.53 tff(f7,axiom,( 0.19/0.53 ! [X1 : list,X2 : $int] : nil != cons(X2,X1)), 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4)). 0.19/0.53 tff(f278,plain,( 0.19/0.53 spl2_1 | spl2_2), 0.19/0.53 inference(avatar_split_clause,[],[f268,f276,f273])). 0.19/0.53 tff(f268,plain,( 0.19/0.53 ( ! [X16 : $int] : ($less(2,$sum(1,X16)) | nil = cons(0,nil) | $less(X16,1)) )), 0.19/0.53 inference(evaluation,[],[f260])). 0.19/0.53 tff(f260,plain,( 0.19/0.53 ( ! [X16 : $int] : ($less(0,0) | $less(2,$sum(1,$sum(X16,$uminus(0)))) | $less(X16,1) | nil = cons(0,nil)) )), 0.19/0.53 inference(resolution,[],[f220,f74])). 0.19/0.53 tff(f74,plain,( 0.19/0.53 ( ! [X5 : $int] : ($less(0,X5) | $less(X5,1)) )), 0.19/0.53 inference(superposition,[],[f19,f55])). 0.19/0.53 tff(f55,plain,( 0.19/0.53 ( ! [X0 : $int] : ($sum(0,X0) = X0) )), 0.19/0.53 inference(superposition,[],[f10,f12])). 0.19/0.53 tff(f12,plain,( 0.19/0.53 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 0.19/0.53 introduced(theory_axiom_142,[])). 0.19/0.53 tff(f10,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : ($sum(X1,X0) = $sum(X0,X1)) )), 0.19/0.53 introduced(theory_axiom_140,[])). 0.19/0.53 tff(f19,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 0.19/0.53 introduced(theory_axiom_152,[])). 0.19/0.53 tff(f220,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | nil = cons(X0,nil) | $less(2,$sum(1,$sum(X1,$uminus(X0)))) | $less(X0,0)) )), 0.19/0.53 inference(resolution,[],[f200,f71])). 0.19/0.53 tff(f71,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(1,X0))) )), 0.19/0.53 inference(superposition,[],[f19,f10])). 0.19/0.53 tff(f200,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : $int] : (~$less($sum(X1,$uminus(X0)),2) | nil = cons(X0,nil) | $less(X0,0) | ~$less(X0,X1)) )), 0.19/0.53 inference(resolution,[],[f199,f48])). 0.19/0.53 tff(f48,plain,( 0.19/0.53 ( ! [X1 : $int] : (inRange(X1,nil)) )), 0.19/0.53 inference(equality_resolution,[],[f47])). 0.19/0.53 tff(f47,plain,( 0.19/0.53 ( ! [X0 : list,X1 : $int] : (inRange(X1,X0) | nil != X0) )), 0.19/0.53 inference(cnf_transformation,[],[f36])). 0.19/0.53 tff(f36,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : ((inRange(X1,X0) | (nil != X0 & ! [X2 : $int,X3 : list] : ($less(X2,0) | cons(X2,X3) != X0 | ~$less(X2,X1) | ~inRange(X1,X3)))) & (nil = X0 | (~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X0 & $less(sK0(X0,X1),X1) & inRange(X1,sK1(X0,X1))) | ~inRange(X1,X0)))), 0.19/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f34,f35])). 0.19/0.53 tff(f35,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : (? [X4 : $int,X5 : list] : (~$less(X4,0) & cons(X4,X5) = X0 & $less(X4,X1) & inRange(X1,X5)) => (~$less(sK0(X0,X1),0) & cons(sK0(X0,X1),sK1(X0,X1)) = X0 & $less(sK0(X0,X1),X1) & inRange(X1,sK1(X0,X1))))), 0.19/0.53 introduced(choice_axiom,[])). 0.19/0.53 tff(f34,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : ((inRange(X1,X0) | (nil != X0 & ! [X2 : $int,X3 : list] : ($less(X2,0) | cons(X2,X3) != X0 | ~$less(X2,X1) | ~inRange(X1,X3)))) & (nil = X0 | ? [X4 : $int,X5 : list] : (~$less(X4,0) & cons(X4,X5) = X0 & $less(X4,X1) & inRange(X1,X5)) | ~inRange(X1,X0)))), 0.19/0.53 inference(rectify,[],[f33])). 0.19/0.53 tff(f33,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : ((inRange(X1,X0) | (nil != X0 & ! [X3 : $int,X2 : list] : ($less(X3,0) | cons(X3,X2) != X0 | ~$less(X3,X1) | ~inRange(X1,X2)))) & (nil = X0 | ? [X3 : $int,X2 : list] : (~$less(X3,0) & cons(X3,X2) = X0 & $less(X3,X1) & inRange(X1,X2)) | ~inRange(X1,X0)))), 0.19/0.53 inference(flattening,[],[f32])). 0.19/0.53 tff(f32,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : ((inRange(X1,X0) | (nil != X0 & ! [X3 : $int,X2 : list] : ($less(X3,0) | cons(X3,X2) != X0 | ~$less(X3,X1) | ~inRange(X1,X2)))) & ((nil = X0 | ? [X3 : $int,X2 : list] : (~$less(X3,0) & cons(X3,X2) = X0 & $less(X3,X1) & inRange(X1,X2))) | ~inRange(X1,X0)))), 0.19/0.53 inference(nnf_transformation,[],[f27])). 0.19/0.53 tff(f27,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : (inRange(X1,X0) <=> (nil = X0 | ? [X3 : $int,X2 : list] : (~$less(X3,0) & cons(X3,X2) = X0 & $less(X3,X1) & inRange(X1,X2))))), 0.19/0.53 inference(rectify,[],[f9])). 0.19/0.53 tff(f9,plain,( 0.19/0.53 ! [X1 : list,X0 : $int] : ((nil = X1 | ? [X3 : list,X2 : $int] : ($less(X2,X0) & ~$less(X2,0) & inRange(X0,X3) & cons(X2,X3) = X1)) <=> inRange(X0,X1))), 0.19/0.53 inference(theory_normalization,[],[f1])). 0.19/0.53 tff(f1,axiom,( 0.19/0.53 ! [X1 : list,X0 : $int] : ((nil = X1 | ? [X3 : list,X2 : $int] : ($less(X2,X0) & $lesseq(0,X2) & inRange(X0,X3) & cons(X2,X3) = X1)) <=> inRange(X0,X1))), 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inRange)). 0.19/0.53 tff(f199,plain,( 0.19/0.53 ( ! [X14 : list,X12 : $int,X13 : $int] : (~inRange(X13,X14) | ~$less(X12,X13) | $less(X12,0) | ~$less($sum(X13,$uminus(X12)),2) | nil = cons(X12,X14)) )), 0.19/0.53 inference(forward_demodulation,[],[f197,f40])). 0.19/0.53 tff(f40,plain,( 0.19/0.53 ( ! [X0 : $int,X1 : list] : (head(cons(X0,X1)) = X0) )), 0.19/0.53 inference(cnf_transformation,[],[f31])). 0.19/0.53 tff(f31,plain,( 0.19/0.53 ! [X0 : $int,X1 : list] : head(cons(X0,X1)) = X0), 0.19/0.53 inference(rectify,[],[f23])). 0.19/0.53 tff(f23,plain,( 0.19/0.53 ! [X1 : $int,X0 : list] : head(cons(X1,X0)) = X1), 0.19/0.53 inference(rectify,[],[f4])). 0.19/0.53 tff(f4,axiom,( 0.19/0.53 ! [X1 : list,X2 : $int] : head(cons(X2,X1)) = X2), 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1)). 0.19/0.53 tff(f197,plain,( 0.19/0.53 ( ! [X14 : list,X12 : $int,X13 : $int] : (nil = cons(X12,X14) | $less(X12,0) | ~$less(X12,X13) | ~inRange(X13,X14) | ~$less($sum(X13,$uminus(head(cons(X12,X14)))),2)) )), 0.19/0.53 inference(resolution,[],[f49,f39])). 0.19/0.53 tff(f39,plain,( 0.19/0.53 ( ! [X0 : list,X1 : $int] : (~inRange(X1,X0) | ~$less($sum(X1,$uminus(head(X0))),2) | nil = X0) )), 0.19/0.53 inference(cnf_transformation,[],[f29])). 0.19/0.53 tff(f29,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : (~$less($sum(X1,$uminus(head(X0))),2) | ~inRange(X1,X0) | nil = X0)), 0.19/0.53 inference(flattening,[],[f28])). 0.19/0.53 tff(f28,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : (~$less($sum(X1,$uminus(head(X0))),2) | (~inRange(X1,X0) | nil = X0))), 0.19/0.53 inference(ennf_transformation,[],[f24])). 0.19/0.53 tff(f24,plain,( 0.19/0.53 ! [X0 : list,X1 : $int] : ((inRange(X1,X0) & nil != X0) => ~$less($sum(X1,$uminus(head(X0))),2))), 0.19/0.53 inference(rectify,[],[f8])). 0.19/0.53 tff(f8,plain,( 0.19/0.53 ! [X1 : list,X0 : $int] : ((nil != X1 & inRange(X0,X1)) => ~$less($sum(X0,$uminus(head(X1))),2))), 0.19/0.53 inference(theory_normalization,[],[f6])). 0.19/0.53 tff(f6,negated_conjecture,( 0.19/0.53 ~~! [X1 : list,X0 : $int] : ((nil != X1 & inRange(X0,X1)) => $greatereq($difference(X0,head(X1)),2))), 0.19/0.53 inference(negated_conjecture,[],[f5])). 0.19/0.53 tff(f5,conjecture,( 0.19/0.53 ~! [X1 : list,X0 : $int] : ((nil != X1 & inRange(X0,X1)) => $greatereq($difference(X0,head(X1)),2))), 0.19/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',c)). 0.19/0.53 tff(f49,plain,( 0.19/0.53 ( ! [X2 : $int,X3 : list,X1 : $int] : (inRange(X1,cons(X2,X3)) | ~$less(X2,X1) | $less(X2,0) | ~inRange(X1,X3)) )), 0.19/0.53 inference(equality_resolution,[],[f46])). 0.19/0.53 tff(f46,plain,( 0.19/0.53 ( ! [X2 : $int,X3 : list,X0 : list,X1 : $int] : (inRange(X1,X0) | $less(X2,0) | cons(X2,X3) != X0 | ~$less(X2,X1) | ~inRange(X1,X3)) )), 0.19/0.53 inference(cnf_transformation,[],[f36])). 0.19/0.53 % SZS output end Proof for theBenchmark 0.19/0.53 % (29562)------------------------------ 0.19/0.53 % (29562)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.19/0.53 % (29562)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.19/0.53 % (29562)Termination reason: Refutation 0.19/0.53 0.19/0.53 % (29562)Memory used [KB]: 5756 0.19/0.53 % (29562)Time elapsed: 0.011 s 0.19/0.53 % (29562)Instructions burned: 19 (million) 0.19/0.53 % (29562)------------------------------ 0.19/0.53 % (29562)------------------------------ 0.19/0.53 % (29494)Success in time 0.179 s 0.19/0.53 EOF