%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 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 10:13:20 AM UTC 2026
% Result : Unsatisfiable 3.21s 1.19s
% Output : Refutation 3.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 11 unt; 1 def)
% Number of atoms : 11 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f11,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),X0)) = multiply(multiply(X0,X1),multiply(X2,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',moufang4) ).
fof(f12,negated_conjecture,
multiply(multiply(a,multiply(b,c)),a) != multiply(multiply(a,b),multiply(c,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_moufang1) ).
fof(f13,definition,
~ sP0(multiply(multiply(a,multiply(b,c)),a)),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f14,plain,
sP0(multiply(multiply(a,b),multiply(c,a))),
inference(inequality_splitting,[],[f12,f13]) ).
fof(f69,plain,
! [X0,X1] : multiply(X0,multiply(multiply(X1,identity),X0)) = multiply(multiply(X0,X1),X0),
inference(superposition,[],[f11,f1]) ).
fof(f76,plain,
sP0(multiply(a,multiply(multiply(b,c),a))),
inference(superposition,[],[f14,f11]) ).
fof(f81,plain,
! [X0,X1] : multiply(X0,multiply(X1,X0)) = multiply(multiply(X0,X1),X0),
inference(forward_demodulation,[],[f69,f2]) ).
fof(f92,plain,
~ sP0(multiply(a,multiply(multiply(b,c),a))),
inference(backward_demodulation,[],[f13,f81]) ).
fof(f97,plain,
$false,
inference(forward_subsumption_resolution,[],[f92,f76]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP206-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 09:37:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.33 Running first-order theorem proving
% 0.04/0.33 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
% 3.21/1.19 % (2118652)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.21/1.19 % (2118698)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2693666138:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 3.21/1.19 % (2118699)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4015940904:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 3.21/1.19 % (2118700)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2032054522:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 3.21/1.19 % (2118701)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2103164067:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 3.21/1.19 % (2118697)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=652173813:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 3.21/1.19 % (2118696)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=1778517466:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 3.21/1.19 % (2118699)First to succeed.
% 3.21/1.19 % (2118699)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2118652"
% 3.21/1.19 % (2118701)Also succeeded, but the first one will report.
% 3.21/1.19 % (2118702)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3649654023:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 3.21/1.19 % (2118702)Also succeeded, but the first one will report.
% 3.21/1.19 % (2118700)Instruction limit reached!
% 3.21/1.19 % (2118700)------------------------------
% 3.21/1.19 % (2118700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.19 % (2118700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.19 % (2118700)CaDiCaL version: 2.1.3
% 3.21/1.19 % (2118700)Termination reason: Instruction limit
% 3.21/1.19 % (2118700)Termination phase: Saturation
% 3.21/1.19 % (2118700)Time elapsed: 0.093 s
% 3.21/1.19 % (2118700)Peak memory usage: 90 MB
% 3.21/1.19 % (2118700)Instructions burned: 183 (million)
% 3.21/1.19 % (2118699)Refutation found. Thanks to Tanya!
% 3.21/1.19 % SZS status Unsatisfiable for theBenchmark
% 3.21/1.19 % SZS output start Proof for theBenchmark
% See solution above
% 3.21/1.19 % (2118699)------------------------------
% 3.21/1.19 % (2118699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.19 % (2118699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.19 % (2118699)CaDiCaL version: 2.1.3
% 3.21/1.19 % (2118699)Termination reason: Refutation
% 3.21/1.19 % (2118699)Time elapsed: 0.004 s
% 3.21/1.19 % (2118699)Peak memory usage: 88 MB
% 3.21/1.19 % (2118699)Instructions burned: 6 (million)
% 3.21/1.19 % (2118699)------------------------------
% 3.21/1.19 % (2118699)------------------------------
% 3.21/1.19 % (2118652)Success in time 0.405 s
% 3.21/1.19 % Vampire exiting
%------------------------------------------------------------------------------