%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP403-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:13:51 AM UTC 2026
% Result : Unsatisfiable 4.84s 1.57s
% Output : Refutation 4.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% 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 : 7 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(X1,multiply(inverse(X1),X1)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(X3,multiply(inverse(X3),X3))))) = multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(X2,multiply(inverse(X2),X2)))))),
inference(superposition,[],[f1,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),multiply(inverse(multiply(X1,X2)),X0))),inverse(multiply(X3,multiply(inverse(X3),X3))))) = X0,
inference(superposition,[],[f4,f1]) ).
fof(f22,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X2)),multiply(X0,inverse(multiply(inverse(X1),inverse(multiply(X2,multiply(inverse(X2),X2))))))) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f52,plain,
! [X0,X4,X5] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X4)),multiply(X0,X5))),inverse(multiply(X4,multiply(inverse(X4),X4))))) = X5,
inference(superposition,[],[f20,f20]) ).
fof(f92,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(inverse(X2),X2))) = multiply(inverse(multiply(X1,X2)),inverse(multiply(X0,inverse(multiply(multiply(X1,X0),multiply(inverse(multiply(X1,X0)),multiply(X1,X0))))))),
inference(superposition,[],[f1,f52]) ).
fof(f94,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f22,f52]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(inverse(multiply(inverse(multiply(X1,X2)),multiply(X1,X0))),X3)) = multiply(inverse(multiply(X4,inverse(multiply(X2,multiply(inverse(X2),X2))))),multiply(X4,X3)),
inference(superposition,[],[f94,f52]) ).
fof(f992,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),X4)) = multiply(X0,multiply(inverse(multiply(inverse(multiply(X5,X3)),multiply(X5,X0))),X4)),
inference(superposition,[],[f114,f52]) ).
fof(f2715,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(X0,multiply(inverse(X0),X0)))) = X2,
inference(superposition,[],[f22,f92]) ).
fof(f2860,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),X0) = multiply(X1,multiply(inverse(multiply(inverse(multiply(X2,X3)),multiply(X2,X1))),inverse(multiply(X3,multiply(inverse(X3),X3))))),
inference(superposition,[],[f992,f2715]) ).
fof(f3031,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f2860,f2715]) ).
fof(f3538,plain,
! [X0] : multiply(inverse(a1),a1) != multiply(inverse(X0),X0),
inference(superposition,[],[f2,f3031]) ).
fof(f3604,plain,
$false,
inference(forward_subsumption_resolution,[],[f3538,f3031]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP403-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n004.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 10:03:29 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.84/1.57 % (3269029)Detected a unit-equality problem, will run specialized UEQ schedule.
% 4.84/1.57 % (3269034)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=2641500336:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 4.84/1.57 % (3269038)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4287011542:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 4.84/1.57 % (3269035)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3073754899:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 4.84/1.57 % (3269039)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1823563781:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 4.84/1.57 % (3269036)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2395852374:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 4.84/1.57 % (3269037)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=753822215:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 4.84/1.57 % (3269040)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3458743587:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 4.84/1.57 % (3269037)Instruction limit reached!
% 4.84/1.57 % (3269037)------------------------------
% 4.84/1.57 % (3269037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.57 % (3269037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.57 % (3269037)CaDiCaL version: 2.1.3
% 4.84/1.57 % (3269037)Termination reason: Instruction limit
% 4.84/1.57 % (3269037)Termination phase: Saturation
% 4.84/1.57 % (3269037)Time elapsed: 0.073 s
% 4.84/1.57 % (3269037)Peak memory usage: 89 MB
% 4.84/1.57 % (3269037)Instructions burned: 136 (million)
% 4.84/1.57 % (3269038)Instruction limit reached!
% 4.84/1.57 % (3269038)------------------------------
% 4.84/1.57 % (3269038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.57 % (3269038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.57 % (3269038)CaDiCaL version: 2.1.3
% 4.84/1.57 % (3269038)Termination reason: Instruction limit
% 4.84/1.57 % (3269038)Termination phase: Saturation
% 4.84/1.57 % (3269038)Time elapsed: 0.096 s
% 4.84/1.57 % (3269038)Peak memory usage: 89 MB
% 4.84/1.57 % (3269038)Instructions burned: 182 (million)
% 4.84/1.57 % (3269039)Instruction limit reached!
% 4.84/1.57 % (3269039)------------------------------
% 4.84/1.57 % (3269039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.57 % (3269039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.57 % (3269039)CaDiCaL version: 2.1.3
% 4.84/1.57 % (3269039)Termination reason: Instruction limit
% 4.84/1.57 % (3269039)Termination phase: Saturation
% 4.84/1.57 % (3269039)Time elapsed: 0.153 s
% 4.84/1.57 % (3269039)Peak memory usage: 90 MB
% 4.84/1.57 % (3269039)Instructions burned: 257 (million)
% 4.84/1.57 % (3269048)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3622309442:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 4.84/1.57 % (3269049)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1740548995:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 4.84/1.57 % (3269040)First to succeed.
% 4.84/1.57 % (3269040)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3269029"
% 4.84/1.57 % (3269050)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2235332372:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 4.84/1.57 % (3269050)Instruction limit reached!
% 4.84/1.57 % (3269050)------------------------------
% 4.84/1.57 % (3269050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.57 % (3269050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.57 % (3269050)CaDiCaL version: 2.1.3
% 4.84/1.57 % (3269050)Termination reason: Instruction limit
% 4.84/1.57 % (3269050)Termination phase: Saturation
% 4.84/1.57 % (3269050)Time elapsed: 0.121 s
% 4.84/1.57 % (3269050)Peak memory usage: 89 MB
% 4.84/1.57 % (3269050)Instructions burned: 215 (million)
% 4.84/1.57 % (3269040)Refutation found. Thanks to Tanya!
% 4.84/1.57 % SZS status Unsatisfiable for theBenchmark
% 4.84/1.57 % SZS output start Proof for theBenchmark
% See solution above
% 4.84/1.57 % (3269040)------------------------------
% 4.84/1.57 % (3269040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.84/1.57 % (3269040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.84/1.57 % (3269040)CaDiCaL version: 2.1.3
% 4.84/1.57 % (3269040)Termination reason: Refutation
% 4.84/1.57 % (3269040)Time elapsed: 0.207 s
% 4.84/1.57 % (3269040)Peak memory usage: 91 MB
% 4.84/1.57 % (3269040)Instructions burned: 394 (million)
% 4.84/1.57 % (3269040)------------------------------
% 4.84/1.57 % (3269040)------------------------------
% 4.84/1.57 % (3269029)Success in time 0.616 s
% 4.84/1.57 % Vampire exiting
%------------------------------------------------------------------------------