0.11/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 8 -t %s %d 0.13/0.34 % Computer : n019.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 960 0.13/0.34 % WCLimit : 120 0.13/0.34 % DateTime : Tue Aug 9 03:52:21 EDT 2022 0.13/0.34 % CPUTime : 0.13/0.40 % (15329)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) 0.13/0.40 % (15326)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) 0.13/0.41 % (15328)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) 0.13/0.41 % (15324)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) 0.13/0.41 % (15328)Instruction limit reached! 0.13/0.41 % (15328)------------------------------ 0.13/0.41 % (15328)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.13/0.41 % (15328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.13/0.41 % (15328)Termination reason: Unknown 0.13/0.41 % (15328)Termination phase: Saturation 0.13/0.41 0.13/0.41 % (15328)Memory used [KB]: 1023 0.13/0.41 % (15328)Time elapsed: 0.003 s 0.13/0.41 % (15328)Instructions burned: 3 (million) 0.13/0.41 % (15328)------------------------------ 0.13/0.41 % (15328)------------------------------ 0.13/0.41 % (15322)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) 0.13/0.41 % (15325)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) 0.13/0.41 % (15325)Instruction limit reached! 0.13/0.41 % (15325)------------------------------ 0.13/0.41 % (15325)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.13/0.41 % (15325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.13/0.41 % (15325)Termination reason: Unknown 0.13/0.41 % (15325)Termination phase: Saturation 0.13/0.41 0.13/0.41 % (15325)Memory used [KB]: 5373 0.13/0.41 % (15325)Time elapsed: 0.003 s 0.13/0.41 % (15325)Instructions burned: 2 (million) 0.13/0.41 % (15325)------------------------------ 0.13/0.41 % (15325)------------------------------ 0.13/0.41 % (15326)Instruction limit reached! 0.13/0.41 % (15326)------------------------------ 0.13/0.41 % (15326)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.13/0.41 % (15326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.13/0.41 % (15326)Termination reason: Unknown 0.13/0.41 % (15326)Termination phase: Saturation 0.13/0.41 0.13/0.41 % (15326)Memory used [KB]: 5628 0.13/0.41 % (15326)Time elapsed: 0.012 s 0.13/0.41 % (15326)Instructions burned: 16 (million) 0.13/0.41 % (15326)------------------------------ 0.13/0.41 % (15326)------------------------------ 0.13/0.41 % (15324)Instruction limit reached! 0.13/0.41 % (15324)------------------------------ 0.13/0.41 % (15324)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.13/0.41 % (15324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.13/0.41 % (15324)Termination reason: Unknown 0.13/0.41 % (15324)Termination phase: Saturation 0.13/0.41 0.13/0.41 % (15324)Memory used [KB]: 5500 0.13/0.41 % (15324)Time elapsed: 0.012 s 0.13/0.41 % (15324)Instructions burned: 9 (million) 0.13/0.41 % (15324)------------------------------ 0.13/0.41 % (15324)------------------------------ 0.20/0.42 % (15329)Instruction limit reached! 0.20/0.42 % (15329)------------------------------ 0.20/0.42 % (15329)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.42 % (15329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.42 % (15329)Termination reason: Unknown 0.20/0.42 % (15329)Termination phase: Saturation 0.20/0.42 0.20/0.42 % (15329)Memory used [KB]: 5628 0.20/0.42 % (15329)Time elapsed: 0.019 s 0.20/0.42 % (15329)Instructions burned: 28 (million) 0.20/0.42 % (15329)------------------------------ 0.20/0.42 % (15329)------------------------------ 0.20/0.44 % (15330)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) 0.20/0.45 % (15330)Instruction limit reached! 0.20/0.45 % (15330)------------------------------ 0.20/0.45 % (15330)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.45 % (15330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.45 % (15330)Termination reason: Unknown 0.20/0.45 % (15330)Termination phase: Saturation 0.20/0.45 0.20/0.45 % (15330)Memory used [KB]: 6012 0.20/0.45 % (15330)Time elapsed: 0.016 s 0.20/0.45 % (15330)Instructions burned: 36 (million) 0.20/0.45 % (15330)------------------------------ 0.20/0.45 % (15330)------------------------------ 0.20/0.45 % (15323)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) 0.20/0.46 % (15327)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) 0.20/0.47 % (15331)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) 0.20/0.47 % (15331)Instruction limit reached! 0.20/0.47 % (15331)------------------------------ 0.20/0.47 % (15331)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.47 % (15331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.47 % (15331)Termination reason: Unknown 0.20/0.47 % (15331)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (15331)Memory used [KB]: 895 0.20/0.47 % (15331)Time elapsed: 0.003 s 0.20/0.47 % (15331)Instructions burned: 2 (million) 0.20/0.47 % (15331)------------------------------ 0.20/0.47 % (15331)------------------------------ 0.20/0.47 % (15332)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) 0.20/0.47 % (15332)Instruction limit reached! 0.20/0.47 % (15332)------------------------------ 0.20/0.47 % (15332)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.47 % (15332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.47 % (15332)Termination reason: Unknown 0.20/0.47 % (15332)Termination phase: Saturation 0.20/0.47 0.20/0.47 % (15332)Memory used [KB]: 895 0.20/0.47 % (15332)Time elapsed: 0.003 s 0.20/0.47 % (15332)Instructions burned: 3 (million) 0.20/0.47 % (15332)------------------------------ 0.20/0.47 % (15332)------------------------------ 0.20/0.47 % (15333)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) 0.20/0.47 % (15334)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) 0.20/0.48 % (15334)Instruction limit reached! 0.20/0.48 % (15334)------------------------------ 0.20/0.48 % (15334)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.48 % (15334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.48 % (15334)Termination reason: Unknown 0.20/0.48 % (15334)Termination phase: Saturation 0.20/0.48 0.20/0.48 % (15334)Memory used [KB]: 5500 0.20/0.48 % (15334)Time elapsed: 0.004 s 0.20/0.48 % (15334)Instructions burned: 4 (million) 0.20/0.48 % (15334)------------------------------ 0.20/0.48 % (15334)------------------------------ 0.20/0.48 % (15335)lrs+10_1:1_canc=force:tha=some:to=lpo:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (1199ds/37Mi) 0.20/0.49 % (15327)Instruction limit reached! 0.20/0.49 % (15327)------------------------------ 0.20/0.49 % (15327)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.49 % (15327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.49 % (15327)Termination reason: Unknown 0.20/0.49 % (15327)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (15327)Memory used [KB]: 5756 0.20/0.49 % (15327)Time elapsed: 0.072 s 0.20/0.49 % (15327)Instructions burned: 24 (million) 0.20/0.49 % (15327)------------------------------ 0.20/0.49 % (15327)------------------------------ 0.20/0.49 % (15322)First to succeed. 0.20/0.49 % (15335)Instruction limit reached! 0.20/0.49 % (15335)------------------------------ 0.20/0.49 % (15335)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.49 % (15335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.49 % (15335)Termination reason: Unknown 0.20/0.49 % (15335)Termination phase: Saturation 0.20/0.49 0.20/0.49 % (15335)Memory used [KB]: 5500 0.20/0.49 % (15335)Time elapsed: 0.013 s 0.20/0.49 % (15335)Instructions burned: 39 (million) 0.20/0.49 % (15335)------------------------------ 0.20/0.49 % (15335)------------------------------ 0.20/0.50 % (15333)Instruction limit reached! 0.20/0.50 % (15333)------------------------------ 0.20/0.50 % (15333)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.50 % (15333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.50 % (15333)Termination reason: Unknown 0.20/0.50 % (15333)Termination phase: Saturation 0.20/0.50 0.20/0.50 % (15333)Memory used [KB]: 5756 0.20/0.50 % (15333)Time elapsed: 0.025 s 0.20/0.50 % (15333)Instructions burned: 28 (million) 0.20/0.50 % (15333)------------------------------ 0.20/0.50 % (15333)------------------------------ 0.20/0.50 % (15322)Refutation found. Thanks to Tanya! 0.20/0.50 % SZS status Theorem for theBenchmark 0.20/0.50 % SZS output start Proof for theBenchmark 0.20/0.50 tff(func_def_0, type, a: $int). 0.20/0.50 tff(func_def_1, type, b: $int). 0.20/0.50 tff(func_def_8, type, sF0: $int). 0.20/0.50 tff(f377,plain,( 0.20/0.50 $false), 0.20/0.50 inference(avatar_smt_refutation,[],[f37,f43,f48,f267,f306,f307,f314,f325,f328,f332,f335,f341,f346,f351,f356,f361,f363,f376])). 0.20/0.50 tff(f376,plain,( 0.20/0.50 ~spl1_1 | ~spl1_9 | ~spl1_10), 0.20/0.50 inference(avatar_contradiction_clause,[],[f375])). 0.20/0.50 tff(f375,plain,( 0.20/0.50 $false | (~spl1_1 | ~spl1_9 | ~spl1_10)), 0.20/0.50 inference(subsumption_resolution,[],[f374,f339])). 0.20/0.50 tff(f339,plain,( 0.20/0.50 a = -1 | ~spl1_9), 0.20/0.50 inference(avatar_component_clause,[],[f338])). 0.20/0.50 tff(f338,plain,( 0.20/0.50 spl1_9 <=> a = -1), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_9])])). 0.20/0.50 tff(f374,plain,( 0.20/0.50 a != -1 | (~spl1_1 | ~spl1_9 | ~spl1_10)), 0.20/0.50 inference(forward_demodulation,[],[f373,f345])). 0.20/0.50 tff(f345,plain,( 0.20/0.50 b = -1 | ~spl1_10), 0.20/0.50 inference(avatar_component_clause,[],[f344])). 0.20/0.50 tff(f344,plain,( 0.20/0.50 spl1_10 <=> b = -1), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_10])])). 0.20/0.50 tff(f373,plain,( 0.20/0.50 a != b | (~spl1_1 | ~spl1_9)), 0.20/0.50 inference(subsumption_resolution,[],[f372,f33])). 0.20/0.50 tff(f33,plain,( 0.20/0.50 1 = sF0 | ~spl1_1), 0.20/0.50 inference(avatar_component_clause,[],[f32])). 0.20/0.50 tff(f32,plain,( 0.20/0.50 spl1_1 <=> 1 = sF0), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_1])])). 0.20/0.50 tff(f372,plain,( 0.20/0.50 a != b | 1 != sF0 | ~spl1_9), 0.20/0.50 inference(subsumption_resolution,[],[f29,f339])). 0.20/0.50 tff(f29,plain,( 0.20/0.50 a != -1 | a != b | 1 != sF0), 0.20/0.50 inference(definition_folding,[],[f23,f26])). 0.20/0.50 tff(f26,plain,( 0.20/0.50 $product(a,b) = sF0), 0.20/0.50 introduced(function_definition,[])). 0.20/0.50 tff(f23,plain,( 0.20/0.50 1 != $product(a,b) | a != b | a != -1), 0.20/0.50 inference(cnf_transformation,[],[f21])). 0.20/0.50 tff(f21,plain,( 0.20/0.50 ((a = 1 | a = -1) & a = b) <~> 1 = $product(a,b)), 0.20/0.50 inference(ennf_transformation,[],[f2])). 0.20/0.50 tff(f2,negated_conjecture,( 0.20/0.50 ~(((a = 1 | a = -1) & a = b) <=> 1 = $product(a,b))), 0.20/0.50 inference(negated_conjecture,[],[f1])). 0.20/0.50 tff(f1,conjecture,( 0.20/0.50 ((a = 1 | a = -1) & a = b) <=> 1 = $product(a,b)), 0.20/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 0.20/0.50 tff(f363,plain,( 0.20/0.50 spl1_9 | ~spl1_2 | ~spl1_10), 0.20/0.50 inference(avatar_split_clause,[],[f362,f344,f35,f338])). 0.20/0.50 tff(f35,plain,( 0.20/0.50 spl1_2 <=> a = b), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_2])])). 0.20/0.50 tff(f362,plain,( 0.20/0.50 a = -1 | (~spl1_2 | ~spl1_10)), 0.20/0.50 inference(backward_demodulation,[],[f36,f345])). 0.20/0.50 tff(f36,plain,( 0.20/0.50 a = b | ~spl1_2), 0.20/0.50 inference(avatar_component_clause,[],[f35])). 0.20/0.50 tff(f361,plain,( 0.20/0.50 spl1_1 | ~spl1_3 | ~spl1_11), 0.20/0.50 inference(avatar_contradiction_clause,[],[f360])). 0.20/0.50 tff(f360,plain,( 0.20/0.50 $false | (spl1_1 | ~spl1_3 | ~spl1_11)), 0.20/0.50 inference(subsumption_resolution,[],[f359,f334])). 0.20/0.50 tff(f334,plain,( 0.20/0.50 1 != sF0 | spl1_1), 0.20/0.50 inference(avatar_component_clause,[],[f32])). 0.20/0.50 tff(f359,plain,( 0.20/0.50 1 = sF0 | (~spl1_3 | ~spl1_11)), 0.20/0.50 inference(forward_demodulation,[],[f358,f340])). 0.20/0.50 tff(f340,plain,( 0.20/0.50 a = 1 | ~spl1_3), 0.20/0.50 inference(avatar_component_clause,[],[f41])). 0.20/0.50 tff(f41,plain,( 0.20/0.50 spl1_3 <=> a = 1), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_3])])). 0.20/0.50 tff(f358,plain,( 0.20/0.50 a = sF0 | ~spl1_11), 0.20/0.50 inference(forward_demodulation,[],[f357,f16])). 0.20/0.50 tff(f16,plain,( 0.20/0.50 ( ! [X0 : $int] : ($product(X0,1) = X0) )), 0.20/0.50 introduced(theory_axiom_142,[])). 0.20/0.50 tff(f357,plain,( 0.20/0.50 sF0 = $product(a,1) | ~spl1_11), 0.20/0.50 inference(forward_demodulation,[],[f26,f355])). 0.20/0.50 tff(f355,plain,( 0.20/0.50 b = 1 | ~spl1_11), 0.20/0.50 inference(avatar_component_clause,[],[f354])). 0.20/0.50 tff(f354,plain,( 0.20/0.50 spl1_11 <=> b = 1), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_11])])). 0.20/0.50 tff(f356,plain,( 0.20/0.50 spl1_11 | ~spl1_2 | ~spl1_3), 0.20/0.50 inference(avatar_split_clause,[],[f352,f41,f35,f354])). 0.20/0.50 tff(f352,plain,( 0.20/0.50 b = 1 | (~spl1_2 | ~spl1_3)), 0.20/0.50 inference(backward_demodulation,[],[f36,f340])). 0.20/0.50 tff(f351,plain,( 0.20/0.50 spl1_1 | ~spl1_9 | ~spl1_10), 0.20/0.50 inference(avatar_contradiction_clause,[],[f350])). 0.20/0.50 tff(f350,plain,( 0.20/0.50 $false | (spl1_1 | ~spl1_9 | ~spl1_10)), 0.20/0.50 inference(subsumption_resolution,[],[f349,f334])). 0.20/0.50 tff(f349,plain,( 0.20/0.50 1 = sF0 | (~spl1_9 | ~spl1_10)), 0.20/0.50 inference(evaluation,[],[f348])). 0.20/0.50 tff(f348,plain,( 0.20/0.50 sF0 = $product(-1,-1) | (~spl1_9 | ~spl1_10)), 0.20/0.50 inference(forward_demodulation,[],[f347,f339])). 0.20/0.50 tff(f347,plain,( 0.20/0.50 sF0 = $product(a,-1) | ~spl1_10), 0.20/0.50 inference(forward_demodulation,[],[f26,f345])). 0.20/0.50 tff(f346,plain,( 0.20/0.50 spl1_10 | ~spl1_2 | ~spl1_9), 0.20/0.50 inference(avatar_split_clause,[],[f342,f338,f35,f344])). 0.20/0.50 tff(f342,plain,( 0.20/0.50 b = -1 | (~spl1_2 | ~spl1_9)), 0.20/0.50 inference(backward_demodulation,[],[f36,f339])). 0.20/0.50 tff(f341,plain,( 0.20/0.50 spl1_9 | spl1_3 | spl1_1), 0.20/0.50 inference(avatar_split_clause,[],[f336,f32,f41,f338])). 0.20/0.50 tff(f336,plain,( 0.20/0.50 a = 1 | a = -1 | spl1_1), 0.20/0.50 inference(subsumption_resolution,[],[f30,f334])). 0.20/0.50 tff(f30,plain,( 0.20/0.50 a = -1 | 1 = sF0 | a = 1), 0.20/0.50 inference(definition_folding,[],[f22,f26])). 0.20/0.50 tff(f22,plain,( 0.20/0.50 1 = $product(a,b) | a = -1 | a = 1), 0.20/0.50 inference(cnf_transformation,[],[f21])). 0.20/0.50 tff(f335,plain,( 0.20/0.50 ~spl1_3 | ~spl1_1 | ~spl1_2), 0.20/0.50 inference(avatar_split_clause,[],[f333,f35,f32,f41])). 0.20/0.50 tff(f333,plain,( 0.20/0.50 1 != sF0 | a != 1 | ~spl1_2), 0.20/0.50 inference(subsumption_resolution,[],[f28,f36])). 0.20/0.50 tff(f28,plain,( 0.20/0.50 1 != sF0 | a != 1 | a != b), 0.20/0.50 inference(definition_folding,[],[f24,f26])). 0.20/0.50 tff(f24,plain,( 0.20/0.50 1 != $product(a,b) | a != b | a != 1), 0.20/0.50 inference(cnf_transformation,[],[f21])). 0.20/0.50 tff(f332,plain,( 0.20/0.50 ~spl1_4 | ~spl1_7), 0.20/0.50 inference(avatar_contradiction_clause,[],[f331])). 0.20/0.50 tff(f331,plain,( 0.20/0.50 $false | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(evaluation,[],[f330])). 0.20/0.50 tff(f330,plain,( 0.20/0.50 $sum(0,1) = 0 | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(forward_demodulation,[],[f329,f61])). 0.20/0.50 tff(f61,plain,( 0.20/0.50 ( ! [X1 : $int] : ($product(0,X1) = 0) )), 0.20/0.50 inference(superposition,[],[f14,f17])). 0.20/0.50 tff(f17,plain,( 0.20/0.50 ( ! [X0 : $int] : ($product(X0,0) = 0) )), 0.20/0.50 introduced(theory_axiom_154,[])). 0.20/0.50 tff(f14,plain,( 0.20/0.50 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )), 0.20/0.50 introduced(theory_axiom_140,[])). 0.20/0.50 tff(f329,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum($product(0,X10),1) = 0) ) | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(forward_demodulation,[],[f320,f61])). 0.20/0.50 tff(f320,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum($product(0,X10),1) = $product(0,$sum(X10,b))) ) | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(backward_demodulation,[],[f180,f310])). 0.20/0.50 tff(f310,plain,( 0.20/0.50 a = 0 | ~spl1_7), 0.20/0.50 inference(avatar_component_clause,[],[f309])). 0.20/0.50 tff(f309,plain,( 0.20/0.50 spl1_7 <=> a = 0), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_7])])). 0.20/0.50 tff(f180,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum($product(a,X10),1) = $product(a,$sum(X10,b))) ) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f18,f47])). 0.20/0.50 tff(f47,plain,( 0.20/0.50 1 = $product(a,b) | ~spl1_4), 0.20/0.50 inference(avatar_component_clause,[],[f46])). 0.20/0.50 tff(f46,plain,( 0.20/0.50 spl1_4 <=> 1 = $product(a,b)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_4])])). 0.20/0.50 tff(f18,plain,( 0.20/0.50 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )), 0.20/0.50 introduced(theory_axiom_155,[])). 0.20/0.50 tff(f328,plain,( 0.20/0.50 ~spl1_5 | ~spl1_7), 0.20/0.50 inference(avatar_contradiction_clause,[],[f327])). 0.20/0.50 tff(f327,plain,( 0.20/0.50 $false | (~spl1_5 | ~spl1_7)), 0.20/0.50 inference(evaluation,[],[f326])). 0.20/0.50 tff(f326,plain,( 0.20/0.50 2 = 0 | (~spl1_5 | ~spl1_7)), 0.20/0.50 inference(forward_demodulation,[],[f321,f61])). 0.20/0.50 tff(f321,plain,( 0.20/0.50 2 = $product(0,$sum(b,b)) | (~spl1_5 | ~spl1_7)), 0.20/0.50 inference(backward_demodulation,[],[f266,f310])). 0.20/0.50 tff(f266,plain,( 0.20/0.50 2 = $product(a,$sum(b,b)) | ~spl1_5), 0.20/0.50 inference(avatar_component_clause,[],[f265])). 0.20/0.50 tff(f265,plain,( 0.20/0.50 spl1_5 <=> 2 = $product(a,$sum(b,b))), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_5])])). 0.20/0.50 tff(f325,plain,( 0.20/0.50 ~spl1_4 | ~spl1_7), 0.20/0.50 inference(avatar_contradiction_clause,[],[f324])). 0.20/0.50 tff(f324,plain,( 0.20/0.50 $false | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(evaluation,[],[f323])). 0.20/0.50 tff(f323,plain,( 0.20/0.50 $sum(1,0) = 0 | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(forward_demodulation,[],[f322,f61])). 0.20/0.50 tff(f322,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum(1,$product(0,X10)) = 0) ) | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(forward_demodulation,[],[f319,f61])). 0.20/0.50 tff(f319,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum(1,$product(0,X10)) = $product(0,$sum(b,X10))) ) | (~spl1_4 | ~spl1_7)), 0.20/0.50 inference(backward_demodulation,[],[f171,f310])). 0.20/0.50 tff(f171,plain,( 0.20/0.50 ( ! [X10 : $int] : ($sum(1,$product(a,X10)) = $product(a,$sum(b,X10))) ) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f18,f47])). 0.20/0.50 tff(f314,plain,( 0.20/0.50 spl1_7 | spl1_8 | ~spl1_4), 0.20/0.50 inference(avatar_split_clause,[],[f231,f46,f312,f309])). 0.20/0.50 tff(f312,plain,( 0.20/0.50 spl1_8 <=> ! [X10 : $int] : (b = X10 | 1 != $product(a,X10))), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_8])])). 0.20/0.50 tff(f231,plain,( 0.20/0.50 ( ! [X10 : $int] : (b = X10 | 1 != $product(a,X10) | a = 0) ) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f204,f47])). 0.20/0.50 tff(f204,plain,( 0.20/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int] : ($product(X0,X2) != $product(X0,X3) | 0 = X0 | X2 = X3) )), 0.20/0.50 inference(gaussian_variable_elimination,[],[f19])). 0.20/0.50 tff(f19,plain,( 0.20/0.50 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($product(X0,X3) != X1 | X2 = X3 | $product(X0,X2) != X1 | 0 = X0) )), 0.20/0.50 introduced(theory_axiom_156,[])). 0.20/0.50 tff(f307,plain,( 0.20/0.50 spl1_6 | ~spl1_4), 0.20/0.50 inference(avatar_split_clause,[],[f298,f46,f304])). 0.20/0.50 tff(f304,plain,( 0.20/0.50 spl1_6 <=> $product(a,$sum(1,b)) = $sum(1,a)), 0.20/0.50 introduced(avatar_definition,[new_symbols(naming,[spl1_6])])). 0.20/0.50 tff(f298,plain,( 0.20/0.50 $product(a,$sum(1,b)) = $sum(1,a) | ~spl1_4), 0.20/0.50 inference(forward_demodulation,[],[f282,f3])). 0.20/0.50 tff(f3,plain,( 0.20/0.50 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 0.20/0.50 introduced(theory_axiom_140,[])). 0.20/0.50 tff(f282,plain,( 0.20/0.50 $product(a,$sum(1,b)) = $sum(a,1) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f180,f16])). 0.20/0.50 tff(f306,plain,( 0.20/0.50 spl1_6 | ~spl1_4), 0.20/0.50 inference(avatar_split_clause,[],[f263,f46,f304])). 0.20/0.50 tff(f263,plain,( 0.20/0.50 $product(a,$sum(1,b)) = $sum(1,a) | ~spl1_4), 0.20/0.50 inference(forward_demodulation,[],[f253,f3])). 0.20/0.50 tff(f253,plain,( 0.20/0.50 $sum(1,a) = $product(a,$sum(b,1)) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f171,f16])). 0.20/0.50 tff(f267,plain,( 0.20/0.50 spl1_5 | ~spl1_4), 0.20/0.50 inference(avatar_split_clause,[],[f261,f46,f265])). 0.20/0.50 tff(f261,plain,( 0.20/0.50 2 = $product(a,$sum(b,b)) | ~spl1_4), 0.20/0.50 inference(evaluation,[],[f250])). 0.20/0.50 tff(f250,plain,( 0.20/0.50 $product(a,$sum(b,b)) = $sum(1,1) | ~spl1_4), 0.20/0.50 inference(superposition,[],[f171,f47])). 0.20/0.50 tff(f48,plain,( 0.20/0.50 spl1_4 | ~spl1_1), 0.20/0.50 inference(avatar_split_clause,[],[f44,f32,f46])). 0.20/0.50 tff(f44,plain,( 0.20/0.50 1 = $product(a,b) | ~spl1_1), 0.20/0.50 inference(forward_demodulation,[],[f26,f33])). 0.20/0.50 tff(f43,plain,( 0.20/0.50 ~spl1_2 | ~spl1_3 | ~spl1_1), 0.20/0.50 inference(avatar_split_clause,[],[f38,f32,f41,f35])). 0.20/0.50 tff(f38,plain,( 0.20/0.50 a != 1 | a != b | ~spl1_1), 0.20/0.50 inference(subsumption_resolution,[],[f28,f33])). 0.20/0.50 tff(f37,plain,( 0.20/0.50 spl1_1 | spl1_2), 0.20/0.50 inference(avatar_split_clause,[],[f27,f35,f32])). 0.20/0.50 tff(f27,plain,( 0.20/0.50 a = b | 1 = sF0), 0.20/0.50 inference(definition_folding,[],[f25,f26])). 0.20/0.50 tff(f25,plain,( 0.20/0.50 1 = $product(a,b) | a = b), 0.20/0.50 inference(cnf_transformation,[],[f21])). 0.20/0.50 % SZS output end Proof for theBenchmark 0.20/0.50 % (15322)------------------------------ 0.20/0.50 % (15322)Version: Vampire 4.7 (commit 01f454171 on 2022-07-15 16:59:05 +0200) 0.20/0.50 % (15322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.20/0.50 % (15322)Termination reason: Refutation 0.20/0.50 0.20/0.50 % (15322)Memory used [KB]: 1279 0.20/0.50 % (15322)Time elapsed: 0.089 s 0.20/0.50 % (15322)Instructions burned: 142 (million) 0.20/0.50 % (15322)------------------------------ 0.20/0.50 % (15322)------------------------------ 0.20/0.50 % (15321)Success in time 0.14 s 0.20/0.50 EOF