%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 10:16:01 AM UTC 2026
% Result : Unsatisfiable 3.53s 1.45s
% Output : Refutation 3.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 32 unt; 4 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
fof(f2,negated_conjecture,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X1,X2))) = mult(mult(mult(X0,X1),X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
fof(f6,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
fof(f7,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
! [X0] : mult(X0,x4) != x3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
fof(f9,definition,
! [X0] : sF0(X0) = mult(X0,unit),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f10,plain,
! [X0] : mult(X0,unit) = sF0(X0),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
! [X0] : sF0(X0) = X0,
inference(definition_folding,[],[f1,f10]) ).
fof(f12,definition,
! [X0] : sF1(X0) = mult(unit,X0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f13,plain,
! [X0] : mult(unit,X0) = sF1(X0),
inference(reorient_equations,[],[f12]) ).
fof(f14,plain,
! [X0] : sF1(X0) = X0,
inference(definition_folding,[],[f2,f13]) ).
fof(f18,definition,
! [X0] : sF3(X0) = mult(i(X0),X0),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f19,plain,
! [X0] : mult(i(X0),X0) = sF3(X0),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0] : unit = sF3(X0),
inference(definition_folding,[],[f7,f19]) ).
fof(f21,definition,
! [X0] : sF4(X0) = mult(X0,x4),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f22,plain,
! [X0] : mult(X0,x4) = sF4(X0),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
! [X0] : x3 != sF4(X0),
inference(definition_folding,[],[f8,f22]) ).
fof(f24,plain,
! [X0] : mult(X0,x4) != x3,
inference(forward_demodulation,[],[f23,f22]) ).
fof(f25,plain,
! [X0] : unit = mult(i(X0),X0),
inference(forward_demodulation,[],[f20,f19]) ).
fof(f27,plain,
! [X0] : mult(unit,X0) = X0,
inference(forward_demodulation,[],[f14,f13]) ).
fof(f28,plain,
! [X0] : mult(X0,unit) = X0,
inference(forward_demodulation,[],[f11,f10]) ).
fof(f36,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,mult(X1,unit))),
inference(superposition,[],[f3,f28]) ).
fof(f37,plain,
! [X0,X1] : mult(mult(X0,X1),X1) = mult(X0,mult(X1,X1)),
inference(forward_demodulation,[],[f36,f28]) ).
fof(f204,plain,
! [X0] : mult(unit,X0) = mult(i(X0),mult(X0,X0)),
inference(superposition,[],[f37,f25]) ).
fof(f220,plain,
! [X0] : x3 != mult(X0,mult(x4,x4)),
inference(superposition,[],[f24,f37]) ).
fof(f221,plain,
! [X0] : mult(i(X0),mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f204,f27]) ).
fof(f227,plain,
! [X0,X1] : x3 != mult(X0,mult(X1,mult(X1,mult(x4,x4)))),
inference(superposition,[],[f220,f3]) ).
fof(f445,plain,
! [X0] : x3 != mult(X0,mult(i(x4),x4)),
inference(superposition,[],[f227,f221]) ).
fof(f460,plain,
! [X0] : mult(X0,unit) != x3,
inference(forward_demodulation,[],[f445,f25]) ).
fof(f465,plain,
! [X0] : x3 != X0,
inference(forward_demodulation,[],[f460,f28]) ).
fof(f466,plain,
$false,
inference(equality_resolution,[],[f465]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP710-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:37:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 3.53/1.45 % (2900025)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.53/1.45 % (2900033)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2197456850:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 3.53/1.45 % (2900037)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4034423566:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 3.53/1.45 % (2900032)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=1098750528:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 3.53/1.45 % (2900034)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3488758196:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 3.53/1.45 % (2900031)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=3953379938:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 3.53/1.45 % (2900035)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2682589129:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 3.53/1.45 % (2900036)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2389468628:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 3.53/1.45 % (2900035)First to succeed.
% 3.53/1.45 % (2900035)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2900025"
% 3.53/1.45 % (2900036)Also succeeded, but the first one will report.
% 3.53/1.45 % (2900034)Instruction limit reached!
% 3.53/1.45 % (2900034)------------------------------
% 3.53/1.45 % (2900034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.45 % (2900034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.45 % (2900034)CaDiCaL version: 2.1.3
% 3.53/1.45 % (2900034)Termination reason: Instruction limit
% 3.53/1.45 % (2900034)Termination phase: Saturation
% 3.53/1.45 % (2900034)Time elapsed: 0.073 s
% 3.53/1.45 % (2900034)Peak memory usage: 89 MB
% 3.53/1.45 % (2900034)Instructions burned: 136 (million)
% 3.53/1.45 % (2900037)Also succeeded, but the first one will report.
% 3.53/1.45 % (2900045)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=921748463:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.53/1.45 % (2900035)Refutation found. Thanks to Tanya!
% 3.53/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.53/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.53/1.45 % (2900035)------------------------------
% 3.53/1.45 % (2900035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.53/1.45 % (2900035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.53/1.45 % (2900035)CaDiCaL version: 2.1.3
% 3.53/1.45 % (2900035)Termination reason: Refutation
% 3.53/1.45 % (2900035)Time elapsed: 0.011 s
% 3.53/1.45 % (2900035)Peak memory usage: 88 MB
% 3.53/1.45 % (2900035)Instructions burned: 17 (million)
% 3.53/1.45 % (2900035)------------------------------
% 3.53/1.45 % (2900035)------------------------------
% 3.53/1.45 % (2900025)Success in time 0.415 s
% 3.53/1.45 % Vampire exiting
%------------------------------------------------------------------------------