%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI702_1 : TPTP v9.3.1. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:35:06 AM UTC 2026
% Result : Theorem 0.84s 0.37s
% Output : Refutation 0.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI702_1 : TPTP v9.3.1. Released v6.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n005.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 20:57:32 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.26 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.37 % (1165283)Will run a generic schedule for satisfiability detection.
% 0.23/0.37 % (1165291)dis+10_1_sil=32000:sp=arity:random_seed=4187056750:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.23/0.37 % (1165289)% WARNING: option uhcvi not known.
% 0.23/0.37 % (1165288)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1336205913_3000 on theBenchmark for (3000ds/0Mi)
% 0.23/0.37 % (1165292)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2786298190:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.23/0.37 % (1165289)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=548841309:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.23/0.37 % (1165290)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2803383258:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.23/0.37 % (1165288)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.37 % (1165288)Terminated due to inappropriate strategy.
% 0.23/0.37 % (1165288)------------------------------
% 0.23/0.37 % (1165288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.37 % (1165288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.37 % (1165288)CaDiCaL version: 2.1.3
% 0.84/0.37 % (1165288)Termination reason: Inappropriate
% 0.84/0.37 % (1165288)Time elapsed: 0.0000 s
% 0.84/0.37 % (1165288)Peak memory usage: 10 MB
% 0.84/0.37 % (1165293)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1099303688:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.84/0.37 % (1165294)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3645528003:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.84/0.37 % (1165288)------------------------------
% 0.84/0.37 % (1165288)------------------------------
% 0.84/0.37 % (1165302)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1379452687:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.84/0.37 % (1165302)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.84/0.37 % (1165302)Terminated due to inappropriate strategy.
% 0.84/0.37 % (1165302)------------------------------
% 0.84/0.37 % (1165302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.37 % (1165302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.37 % (1165302)CaDiCaL version: 2.1.3
% 0.84/0.37 % (1165302)Termination reason: Inappropriate
% 0.84/0.37 % (1165302)Time elapsed: 0.0000 s
% 0.84/0.37 % (1165302)Peak memory usage: 10 MB
% 0.84/0.37 % (1165302)------------------------------
% 0.84/0.37 % (1165302)------------------------------
% 0.84/0.37 % (1165291)Instruction limit reached!
% 0.84/0.37 % (1165291)------------------------------
% 0.84/0.37 % (1165291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.37 % (1165291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.37 % (1165291)CaDiCaL version: 2.1.3
% 0.84/0.37 % (1165291)Termination reason: Instruction limit
% 0.84/0.37 % (1165291)Termination phase: Saturation
% 0.84/0.37 % (1165291)Time elapsed: 0.034 s
% 0.84/0.37 % (1165291)Peak memory usage: 12 MB
% 0.84/0.37 % (1165291)Instructions burned: 105 (million)
% 0.84/0.37 % (1165305)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3934208949:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.84/0.37 % (1165304)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4175977400:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.84/0.37 % (1165293) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1165283-1165293"...
% 0.84/0.37 % (1165293)...printing done.
% 0.84/0.37 % (1165293)Refutation found. Thanks to Tanya!
% 0.84/0.37 % SZS status Theorem for theBenchmark
% 0.84/0.37 % SZS output start Proof for theBenchmark
% 0.84/0.37 tff(func_def_0, type, x: $int).
% 0.84/0.37 tff(func_def_1, type, y: $int).
% 0.84/0.37 tff(func_def_2, type, a: $int).
% 0.84/0.37 tff(func_def_3, type, z: $int).
% 0.84/0.37 tff(func_def_4, type, b: $int).
% 0.84/0.37 tff(f1,axiom,(
% 0.84/0.37 $product($product(2,x),y) = a),
% 0.84/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq1)).
% 0.84/0.37 tff(f3,axiom,(
% 0.84/0.37 $product(a,z) = 2),
% 0.84/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq3)).
% 0.84/0.37 tff(f4,conjecture,(
% 0.84/0.37 $product($product(x,y),z) = 1),
% 0.84/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
% 0.84/0.37 tff(f5,negated_conjecture,(
% 0.84/0.37 ~ $product($product(x,y),z) = 1),
% 0.84/0.37 inference(negated_conjecture,[status(cth)],[f4])).
% 0.84/0.37 tff(f18,definition,(
% 0.84/0.37 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )),
% 0.84/0.37 introduced(theory,[tha_associativity])).
% 0.84/0.37 tff(f19,definition,(
% 0.84/0.37 ( ! [X0 : $int] : ($product(X0,1) = X0) )),
% 0.84/0.37 introduced(theory,[tha_right_identity])).
% 0.84/0.37 tff(f22,definition,(
% 0.84/0.37 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($product(X0,X2) != X1 | 0 = X0 | $product(X0,X3) != X1 | X2 = X3) )),
% 0.84/0.37 introduced(theory,[tha_divisibility])).
% 0.84/0.37 tff(f24,plain,(
% 0.84/0.37 $product($product(x,y),z) != 1),
% 0.84/0.37 inference(flattening,[],[f5])).
% 0.84/0.37 tff(f25,plain,(
% 0.84/0.37 $product($product(2,x),y) = a),
% 0.84/0.37 inference(cnf_transformation,[],[f1])).
% 0.84/0.37 tff(f27,plain,(
% 0.84/0.37 2 = $product(a,z)),
% 0.84/0.37 inference(cnf_transformation,[],[f3])).
% 0.84/0.37 tff(f28,plain,(
% 0.84/0.37 $product($product(x,y),z) != 1),
% 0.84/0.37 inference(cnf_transformation,[],[f24])).
% 0.84/0.37 tff(f43,plain,(
% 0.84/0.37 2 = $product($product($product(2,x),y),z)),
% 0.84/0.37 inference(superposition,[],[f27,f25])).
% 0.84/0.37 tff(f44,plain,(
% 0.84/0.37 2 = $product($product(2,x),$product(y,z))),
% 0.84/0.37 inference(forward_demodulation,[],[f43,f18])).
% 0.84/0.37 tff(f45,plain,(
% 0.84/0.37 2 = $product(2,$product(x,$product(y,z)))),
% 0.84/0.37 inference(forward_demodulation,[],[f44,f18])).
% 0.84/0.37 tff(f165,plain,(
% 0.84/0.37 1 != $product(x,$product(y,z))),
% 0.84/0.37 inference(superposition,[],[f28,f18])).
% 0.84/0.37 tff(f245,plain,(
% 0.84/0.37 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,X2) != X1 | 0 = X0 | X0 != X1 | 1 = X2) )),
% 0.84/0.37 inference(superposition,[],[f22,f19])).
% 0.84/0.37 tff(f2304,plain,(
% 0.84/0.37 ( ! [X0 : $int] : (2 != X0 | 2 = 0 | 2 != X0 | 1 = $product(x,$product(y,z))) )),
% 0.84/0.37 inference(superposition,[],[f245,f45])).
% 0.84/0.37 tff(f2312,plain,(
% 0.84/0.37 ( ! [X0 : $int] : (2 != X0 | 2 = 0 | 1 = $product(x,$product(y,z))) )),
% 0.84/0.37 inference(duplicate_literal_removal,[],[f2304])).
% 0.84/0.37 tff(f2313,plain,(
% 0.84/0.37 ( ! [X0 : $int] : (2 != X0 | 1 = $product(x,$product(y,z))) )),
% 0.84/0.37 inference(evaluation,[],[f2312])).
% 0.84/0.37 tff(f2323,plain,(
% 0.84/0.37 ( ! [X0 : $int] : (2 != X0) )),
% 0.84/0.37 inference(forward_subsumption_resolution,[],[f2313,f165])).
% 0.84/0.37 tff(f2326,plain,(
% 0.84/0.37 $false),
% 0.84/0.37 inference(equality_resolution,[],[f2323])).
% 0.84/0.37 % SZS output end Proof for theBenchmark
% 0.84/0.37 % (1165293)------------------------------
% 0.84/0.37 % (1165293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.37 % (1165293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.37 % (1165293)CaDiCaL version: 2.1.3
% 0.84/0.37 % (1165293)Termination reason: Refutation
% 0.84/0.37 % (1165293)Time elapsed: 0.067 s
% 0.84/0.37 % (1165293)Peak memory usage: 13 MB
% 0.84/0.37 % (1165293)Instructions burned: 107 (million)
% 0.84/0.37 % (1165283)Success in time 0.091 s
% 0.84/0.37 % Vampire exiting
%------------------------------------------------------------------------------