%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GRP669-1 : 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 : n012.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 10:18:30 AM UTC 2026
% Result : Unsatisfiable 0.54s 0.50s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 44 ( 44 !; 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(X0,mult(X1,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X2,X1))) = mult(mult(mult(X0,X1),X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f10,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,X0)) = mult(X0,mult(mult(X1,X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f11,negated_conjecture,
mult(mult(a,b),mult(c,mult(a,b))) != mult(mult(mult(a,mult(b,c)),a),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f13,plain,
mult(mult(a,b),mult(c,mult(a,b))) != mult(a,mult(mult(b,c),mult(a,b))),
inference(backward_demodulation,[],[f11,f7]) ).
fof(f14,plain,
mult(mult(a,b),mult(c,mult(a,b))) != mult(a,mult(b,mult(mult(c,a),b))),
inference(forward_demodulation,[],[f13,f10]) ).
fof(f42,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,mult(X0,unit))),
inference(superposition,[],[f5,f7]) ).
fof(f44,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(X1,mult(X0,X2))),X2),
inference(superposition,[],[f4,f7]) ).
fof(f46,plain,
! [X0,X1] : mult(mult(X0,X1),X0) = mult(X0,mult(X1,X0)),
inference(forward_demodulation,[],[f42,f5]) ).
fof(f53,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X0)) = rd(mult(X0,mult(X1,mult(X0,X2))),X2),
inference(backward_demodulation,[],[f44,f46]) ).
fof(f101,plain,
! [X2,X3,X0,X1] : mult(X1,mult(mult(X3,mult(mult(X0,X1),X2)),X1)) = mult(mult(X1,X3),mult(X0,mult(X1,mult(X2,X1)))),
inference(superposition,[],[f10,f8]) ).
fof(f132,plain,
! [X0,X1] : mult(X0,X1) = rd(mult(X0,mult(X1,X0)),X0),
inference(superposition,[],[f4,f46]) ).
fof(f404,plain,
! [X0,X1] : mult(X1,rd(X0,X1)) = rd(mult(X1,X0),X1),
inference(superposition,[],[f132,f3]) ).
fof(f576,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = rd(mult(mult(X0,X1),mult(X2,mult(X0,mult(X1,X0)))),X0),
inference(superposition,[],[f53,f46]) ).
fof(f611,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = rd(mult(X0,mult(mult(X1,mult(mult(X2,X0),X1)),X0)),X0),
inference(forward_demodulation,[],[f576,f101]) ).
fof(f618,plain,
! [X2,X0,X1] : mult(mult(X0,X1),mult(X2,mult(X0,X1))) = mult(X0,rd(mult(mult(X1,mult(mult(X2,X0),X1)),X0),X0)),
inference(forward_demodulation,[],[f611,f404]) ).
fof(f624,plain,
! [X2,X0,X1] : mult(X0,mult(X1,mult(mult(X2,X0),X1))) = mult(mult(X0,X1),mult(X2,mult(X0,X1))),
inference(forward_demodulation,[],[f618,f4]) ).
fof(f643,plain,
mult(a,mult(b,mult(mult(c,a),b))) != mult(a,mult(b,mult(mult(c,a),b))),
inference(backward_demodulation,[],[f14,f624]) ).
fof(f644,plain,
$false,
inference(trivial_inequality_removal,[],[f643]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.33 % Computer : n012.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.33 % WCLimit : 300
% 0.08/0.33 % DateTime : Sun Sep 27 10:34:05 UTC 2026
% 0.10/0.34 % CPUTime :
% 0.10/0.34 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 Running first-order model finding
% 0.10/0.36 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
% 0.54/0.50 % (2180078)Will run a generic schedule for satisfiability detection.
% 0.54/0.50 % (2180087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3413610356:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.54/0.50 % (2180084)% WARNING: option uhcvi not known.
% 0.54/0.50 % (2180088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1423748269:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.54/0.50 % (2180083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=361843638_3000 on theBenchmark for (3000ds/0Mi)
% 0.54/0.50 % (2180084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=724277013:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.54/0.50 % (2180085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3056042632:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.54/0.50 % (2180086)dis+10_1_sil=32000:sp=arity:random_seed=1543391787:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.54/0.50 % TRYING [1]
% 0.54/0.50 % TRYING [2]
% 0.54/0.50 % TRYING [3]
% 0.54/0.50 % (2180089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=642544247:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.54/0.50 % TRYING [4]
% 0.54/0.50 % TRYING [5]
% 0.54/0.50 % (2180087)Instruction limit reached!
% 0.54/0.50 % (2180087)------------------------------
% 0.54/0.50 % (2180087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.50 % (2180087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.50 % (2180087)CaDiCaL version: 2.1.3
% 0.54/0.50 % (2180087)Termination reason: Instruction limit
% 0.54/0.50 % (2180087)Termination phase: Saturation
% 0.54/0.50 % (2180087)Time elapsed: 0.043 s
% 0.54/0.50 % (2180087)Peak memory usage: 13 MB
% 0.54/0.50 % (2180087)Instructions burned: 120 (million)
% 0.54/0.50 % (2180086)Instruction limit reached!
% 0.54/0.50 % (2180086)------------------------------
% 0.54/0.50 % (2180086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.50 % (2180086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.50 % (2180086)CaDiCaL version: 2.1.3
% 0.54/0.50 % (2180086)Termination reason: Instruction limit
% 0.54/0.50 % (2180086)Termination phase: Saturation
% 0.54/0.50 % (2180086)Time elapsed: 0.050 s
% 0.54/0.50 % (2180086)Peak memory usage: 11 MB
% 0.54/0.50 % (2180086)Instructions burned: 103 (million)
% 0.54/0.50 % (2180088)Instruction limit reached!
% 0.54/0.50 % (2180088)------------------------------
% 0.54/0.50 % (2180088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.50 % (2180088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.50 % (2180088)CaDiCaL version: 2.1.3
% 0.54/0.50 % (2180088)Termination reason: Instruction limit
% 0.54/0.50 % (2180088)Termination phase: Saturation
% 0.54/0.50 % (2180088)Time elapsed: 0.052 s
% 0.54/0.50 % (2180088)Peak memory usage: 13 MB
% 0.54/0.50 % (2180088)Instructions burned: 131 (million)
% 0.54/0.50 % (2180097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3099886910:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.54/0.50 % TRYING [1]
% 0.54/0.50 % TRYING [2]
% 0.54/0.50 % TRYING [3]
% 0.54/0.50 % TRYING [4]
% 0.54/0.50 % (2180098)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=993798806:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.54/0.50 % (2180099)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=1072628801:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.54/0.50 % (2180089)Instruction limit reached!
% 0.54/0.50 % (2180089)------------------------------
% 0.54/0.50 % (2180089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.50 % (2180089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.50 % (2180089)CaDiCaL version: 2.1.3
% 0.54/0.50 % (2180089)Termination reason: Instruction limit
% 0.54/0.50 % (2180089)Termination phase: Saturation
% 0.54/0.50 % (2180089)Time elapsed: 0.086 s
% 0.54/0.50 % (2180089)Peak memory usage: 12 MB
% 0.54/0.50 % (2180089)Instructions burned: 160 (million)
% 0.54/0.50 % (2180098) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2180078-2180098"...
% 0.54/0.50 % (2180098)...printing done.
% 0.54/0.50 % (2180098)Refutation found. Thanks to Tanya!
% 0.54/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.54/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.54/0.50 % (2180098)------------------------------
% 0.54/0.50 % (2180098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.50 % (2180098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.50 % (2180098)CaDiCaL version: 2.1.3
% 0.54/0.50 % (2180098)Termination reason: Refutation
% 0.54/0.50 % (2180098)Time elapsed: 0.026 s
% 0.54/0.50 % (2180098)Peak memory usage: 12 MB
% 0.54/0.50 % (2180098)Instructions burned: 47 (million)
% 0.54/0.50 % (2180078)Success in time 0.126 s
% 0.54/0.50 % Vampire exiting
%------------------------------------------------------------------------------