%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP519-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 10:14:46 AM UTC 2026
% Result : Unsatisfiable 2.55s 1.24s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 13 unt; 1 def)
% Number of atoms : 13 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,definition,
~ sP0(multiply(multiply(a3,b3),c3)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f4,plain,
sP0(multiply(a3,multiply(b3,c3))),
inference(inequality_splitting,[],[f2,f3]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X0),X3),multiply(multiply(inverse(multiply(X1,X2)),X0),X2))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(multiply(inverse(X1),X2)),X0),X2),
inference(superposition,[],[f13,f1]) ).
fof(f20,plain,
! [X2,X3,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(X2),X0),multiply(multiply(inverse(multiply(inverse(X1),X3)),X2),X3)),
inference(superposition,[],[f13,f5]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(X2),X0),multiply(X2,X1)),
inference(backward_demodulation,[],[f20,f19]) ).
fof(f48,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(multiply(inverse(multiply(inverse(X1),X2)),X0),X2),X3),
inference(superposition,[],[f24,f1]) ).
fof(f65,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f48,f19]) ).
fof(f86,plain,
~ sP0(multiply(a3,multiply(b3,c3))),
inference(backward_demodulation,[],[f3,f65]) ).
fof(f87,plain,
$false,
inference(forward_subsumption_resolution,[],[f86,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP519-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 10:10:15 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/1.24 % (1430223)Detected a unit-equality problem, will run specialized UEQ schedule.
% 2.55/1.24 % (1430265)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2334757750:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 2.55/1.24 % (1430265)First to succeed.
% 2.55/1.24 % (1430265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1430223"
% 2.55/1.24 % (1430269)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=231821621:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 2.55/1.24 % (1430262)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=3472599762:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 2.55/1.24 % (1430266)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=343994576:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 2.55/1.24 % (1430261)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=2309607971:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 2.55/1.24 % (1430268)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1117089724:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 2.55/1.24 % (1430263)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1404350310:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 2.55/1.24 % (1430268)Also succeeded, but the first one will report.
% 2.55/1.24 % (1430269)Also succeeded, but the first one will report.
% 2.55/1.24 % (1430266)Instruction limit reached!
% 2.55/1.24 % (1430266)------------------------------
% 2.55/1.24 % (1430266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.24 % (1430266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.24 % (1430266)CaDiCaL version: 2.1.3
% 2.55/1.24 % (1430266)Termination reason: Instruction limit
% 2.55/1.24 % (1430266)Termination phase: Saturation
% 2.55/1.24 % (1430266)Time elapsed: 0.099 s
% 2.55/1.24 % (1430266)Peak memory usage: 89 MB
% 2.55/1.24 % (1430266)Instructions burned: 181 (million)
% 2.55/1.24 % (1430265)Refutation found. Thanks to Tanya!
% 2.55/1.24 % SZS status Unsatisfiable for theBenchmark
% 2.55/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.24 % (1430265)------------------------------
% 2.55/1.24 % (1430265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.24 % (1430265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.24 % (1430265)CaDiCaL version: 2.1.3
% 2.55/1.24 % (1430265)Termination reason: Refutation
% 2.55/1.24 % (1430265)Time elapsed: 0.003 s
% 2.55/1.24 % (1430265)Peak memory usage: 87 MB
% 2.55/1.24 % (1430265)Instructions burned: 7 (million)
% 2.55/1.24 % (1430265)------------------------------
% 2.55/1.24 % (1430265)------------------------------
% 2.55/1.24 % (1430223)Success in time 0.283 s
% 2.55/1.24 % Vampire exiting
%------------------------------------------------------------------------------