%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP698-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 10:18:35 AM UTC 2026
% Result : Unsatisfiable 2.28s 0.98s
% Output : Refutation 2.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 15 unt; 0 def)
% Number of atoms : 15 ( 14 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(mult(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(mult(X1,X0),X0),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f9,negated_conjecture,
mult(a,mult(b,c)) != mult(rd(mult(a,b),a),mult(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f43,plain,
! [X0,X1] : mult(X0,mult(mult(mult(X1,X0),X0),unit)) = mult(mult(mult(X0,X1),X0),X0),
inference(superposition,[],[f7,f5]) ).
fof(f51,plain,
! [X0,X1] : mult(mult(mult(X0,X1),X0),X0) = mult(X0,mult(mult(X1,X0),X0)),
inference(forward_demodulation,[],[f43,f5]) ).
fof(f75,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(mult(X1,X0),X0)),X0),
inference(superposition,[],[f4,f51]) ).
fof(f188,plain,
! [X0,X1] : mult(mult(X1,rd(X0,X1)),X1) = rd(mult(X1,mult(X0,X1)),X1),
inference(superposition,[],[f75,f3]) ).
fof(f3612,plain,
! [X0,X1] : mult(mult(X1,rd(rd(X0,X1),X1)),X1) = rd(mult(X1,X0),X1),
inference(superposition,[],[f188,f3]) ).
fof(f6398,plain,
! [X2,X0,X1] : mult(X0,mult(mult(mult(rd(rd(X1,X0),X0),X0),X0),X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(superposition,[],[f7,f3612]) ).
fof(f6444,plain,
! [X2,X0,X1] : mult(rd(mult(X0,X1),X0),mult(X0,X2)) = mult(X0,mult(mult(rd(X1,X0),X0),X2)),
inference(forward_demodulation,[],[f6398,f3]) ).
fof(f6482,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
inference(forward_demodulation,[],[f6444,f3]) ).
fof(f10414,plain,
mult(a,mult(b,c)) != mult(a,mult(b,c)),
inference(superposition,[],[f9,f6482]) ).
fof(f10469,plain,
$false,
inference(trivial_inequality_removal,[],[f10414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP698-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.20/0.45 % Computer : n004.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Sun Sep 27 10:36:21 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.22/0.49 Running first-order model finding
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.28/0.98 % (3320878)Will run a generic schedule for satisfiability detection.
% 2.28/0.98 % (3320884)% WARNING: option uhcvi not known.
% 2.28/0.98 % (3320884)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2597119028:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 2.28/0.98 % (3320883)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=954334275_3000 on theBenchmark for (3000ds/0Mi)
% 2.28/0.98 % (3320888)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=708090838:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 2.28/0.98 % (3320889)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1100826956:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 2.28/0.98 % (3320886)dis+10_1_sil=32000:sp=arity:random_seed=927029238:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 2.28/0.98 % TRYING [1]
% 2.28/0.98 % TRYING [2]
% 2.28/0.98 % TRYING [3]
% 2.28/0.98 % (3320887)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1329319163:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 2.28/0.98 % TRYING [4]
% 2.28/0.98 % (3320885)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=122314950:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 2.28/0.98 % TRYING [5]
% 2.28/0.98 % (3320887)Instruction limit reached!
% 2.28/0.98 % (3320887)------------------------------
% 2.28/0.98 % (3320887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320887)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320887)Termination reason: Instruction limit
% 2.28/0.98 % (3320887)Termination phase: Saturation
% 2.28/0.98 % (3320887)Time elapsed: 0.060 s
% 2.28/0.98 % (3320887)Peak memory usage: 12 MB
% 2.28/0.98 % (3320887)Instructions burned: 117 (million)
% 2.28/0.98 % (3320897)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1297304505:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.28/0.98 % TRYING [1]
% 2.28/0.98 % TRYING [2]
% 2.28/0.98 % TRYING [3]
% 2.28/0.98 % TRYING [4]
% 2.28/0.98 % (3320886)Instruction limit reached!
% 2.28/0.98 % (3320886)------------------------------
% 2.28/0.98 % (3320886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320886)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320886)Termination reason: Instruction limit
% 2.28/0.98 % (3320886)Termination phase: Saturation
% 2.28/0.98 % (3320886)Time elapsed: 0.099 s
% 2.28/0.98 % (3320886)Peak memory usage: 11 MB
% 2.28/0.98 % (3320886)Instructions burned: 104 (million)
% 2.28/0.98 % TRYING [5]
% 2.28/0.98 % TRYING [6]
% 2.28/0.98 % (3320899)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2733760205:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.28/0.98 % (3320888)Instruction limit reached!
% 2.28/0.98 % (3320888)------------------------------
% 2.28/0.98 % (3320888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320888)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320888)Termination reason: Instruction limit
% 2.28/0.98 % (3320888)Termination phase: Saturation
% 2.28/0.98 % (3320888)Time elapsed: 0.126 s
% 2.28/0.98 % (3320888)Peak memory usage: 12 MB
% 2.28/0.98 % (3320888)Instructions burned: 131 (million)
% 2.28/0.98 % (3320889)Instruction limit reached!
% 2.28/0.98 % (3320889)------------------------------
% 2.28/0.98 % (3320889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320889)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320889)Termination reason: Instruction limit
% 2.28/0.98 % (3320889)Termination phase: Saturation
% 2.28/0.98 % (3320889)Time elapsed: 0.158 s
% 2.28/0.98 % (3320889)Peak memory usage: 12 MB
% 2.28/0.98 % (3320889)Instructions burned: 159 (million)
% 2.28/0.98 % (3320901)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=2244850743:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.28/0.98 % TRYING [6]
% 2.28/0.98 % (3320902)ott-21_1_sil=16000:fs=off:random_seed=3830929794:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.28/0.98 % (3320899)Instruction limit reached!
% 2.28/0.98 % (3320899)------------------------------
% 2.28/0.98 % (3320899)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320899)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320899)Termination reason: Instruction limit
% 2.28/0.98 % (3320899)Termination phase: Saturation
% 2.28/0.98 % (3320899)Time elapsed: 0.128 s
% 2.28/0.98 % (3320899)Peak memory usage: 12 MB
% 2.28/0.98 % (3320899)Instructions burned: 131 (million)
% 2.28/0.98 % (3320905)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3307581008:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.28/0.98 % (3320902)Instruction limit reached!
% 2.28/0.98 % (3320902)------------------------------
% 2.28/0.98 % (3320902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320902)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320902)Termination reason: Instruction limit
% 2.28/0.98 % (3320902)Termination phase: Saturation
% 2.28/0.98 % (3320902)Time elapsed: 0.119 s
% 2.28/0.98 % (3320902)Peak memory usage: 12 MB
% 2.28/0.98 % (3320902)Instructions burned: 180 (million)
% 2.28/0.98 % (3320907)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1757730155:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.28/0.98 % TRYING [1]
% 2.28/0.98 % TRYING [2]
% 2.28/0.98 % TRYING [3]
% 2.28/0.98 % TRYING [4]
% 2.28/0.98 % TRYING [5]
% 2.28/0.98 % TRYING [7]
% 2.28/0.98 % (3320897)Instruction limit reached!
% 2.28/0.98 % (3320897)------------------------------
% 2.28/0.98 % (3320897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320897)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320897)Termination reason: Instruction limit
% 2.28/0.98 % (3320897)Termination phase: Finite model building constraint generation
% 2.28/0.98 % (3320897)Time elapsed: 0.326 s
% 2.28/0.98 % (3320897)Peak memory usage: 23 MB
% 2.28/0.98 % (3320897)Instructions burned: 716 (million)
% 2.28/0.98 % (3320885) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3320878-3320885"...
% 2.28/0.98 % (3320885)...printing done.
% 2.28/0.98 % (3320885)Refutation found. Thanks to Tanya!
% 2.28/0.98 % SZS status Unsatisfiable for theBenchmark
% 2.28/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.28/0.98 % (3320885)------------------------------
% 2.28/0.98 % (3320885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.28/0.98 % (3320885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.28/0.98 % (3320885)CaDiCaL version: 2.1.3
% 2.28/0.98 % (3320885)Termination reason: Refutation
% 2.28/0.98 % (3320885)Time elapsed: 0.421 s
% 2.28/0.98 % (3320885)Peak memory usage: 15 MB
% 2.28/0.98 % (3320885)Instructions burned: 473 (million)
% 2.28/0.98 % (3320878)Success in time 0.475 s
% 2.28/0.98 % Vampire exiting
%------------------------------------------------------------------------------