%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP730-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 10:16:04 AM UTC 2026
% Result : Unsatisfiable 0.32s 2.71s
% Output : Refutation 0.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 26 unt; 0 def)
% Number of atoms : 26 ( 25 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f5,axiom,
! [X0] : mult(i(X0),X0) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f6,plain,
! [X0] : unit = mult(i(X0),X0),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X0,X1] : i(mult(X0,X1)) = mult(i(X0),i(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f8,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f12,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,mult(X1,X2)),asoc(X0,X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
fof(f13,axiom,
! [X0,X1] : mult(X0,X1) = mult(mult(X1,X0),op_k(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).
fof(f23,axiom,
! [X2,X3,X0,X1,X4] : asoc(asoc(X0,X1,X2),X3,X4) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).
fof(f24,plain,
! [X2,X3,X0,X1,X4] : unit = asoc(asoc(X0,X1,X2),X3,X4),
inference(reorient_equations,[],[f23]) ).
fof(f27,negated_conjecture,
asoc(op_k(a,b),c,d) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f28,plain,
unit != asoc(op_k(a,b),c,d),
inference(reorient_equations,[],[f27]) ).
fof(f36,plain,
! [X0,X1] : op_k(X0,X1) = mult(i(mult(X1,X0)),mult(X0,X1)),
inference(superposition,[],[f8,f13]) ).
fof(f37,plain,
! [X0,X1] : mult(X0,X1) = mult(i(i(X0)),X1),
inference(superposition,[],[f8,f8]) ).
fof(f57,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(i(mult(mult(X0,X1),i(X0))),X1),
inference(superposition,[],[f36,f8]) ).
fof(f76,plain,
! [X0,X1] : mult(mult(i(mult(X1,X0)),X1),X0) = mult(unit,asoc(i(mult(X1,X0)),X1,X0)),
inference(superposition,[],[f12,f6]) ).
fof(f77,plain,
! [X0,X1] : mult(mult(i(mult(X1,X0)),X1),X0) = asoc(i(mult(X1,X0)),X1,X0),
inference(forward_demodulation,[],[f76,f1]) ).
fof(f173,plain,
! [X0] : mult(X0,unit) = i(i(X0)),
inference(superposition,[],[f2,f37]) ).
fof(f176,plain,
! [X0] : i(i(X0)) = X0,
inference(forward_demodulation,[],[f173,f2]) ).
fof(f189,plain,
! [X0,X1] : i(mult(X1,i(X0))) = mult(i(X1),X0),
inference(superposition,[],[f7,f176]) ).
fof(f196,plain,
! [X0,X1] : op_k(i(X0),mult(X0,X1)) = mult(mult(i(mult(X0,X1)),X0),X1),
inference(backward_demodulation,[],[f57,f189]) ).
fof(f197,plain,
! [X0,X1] : asoc(i(mult(X1,X0)),X1,X0) = op_k(i(X1),mult(X1,X0)),
inference(backward_demodulation,[],[f77,f196]) ).
fof(f438,plain,
! [X0,X1] : op_k(i(i(X0)),X1) = asoc(i(X1),i(X0),mult(X0,X1)),
inference(superposition,[],[f197,f8]) ).
fof(f453,plain,
! [X0,X1] : op_k(X0,X1) = asoc(i(X1),i(X0),mult(X0,X1)),
inference(forward_demodulation,[],[f438,f176]) ).
fof(f477,plain,
! [X2,X3,X0,X1] : unit = asoc(op_k(X0,X1),X3,X2),
inference(superposition,[],[f24,f453]) ).
fof(f483,plain,
$false,
inference(backward_subsumption_resolution,[],[f28,f477]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP730-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n014.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 10:41:01 UTC 2026
% 0.23/0.49 % CPUTime :
% 0.23/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.55 Running first-order theorem proving
% 0.28/0.55 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
% 0.32/2.70 % (607451)Detected a unit-equality problem, will run specialized UEQ schedule.
% 0.32/2.70 % (607461)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=217915484:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 0.32/2.70 % (607457)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=1105070915:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 0.32/2.70 % (607459)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=904522982:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 0.32/2.70 % (607460)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1752550767:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 0.32/2.70 % (607458)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4074974174:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 0.32/2.70 % (607456)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=3560979296:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 0.32/2.70 % (607462)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2899386426:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 0.32/2.70 % (607461)Instruction limit reached!
% 0.32/2.70 % (607461)------------------------------
% 0.32/2.70 % (607461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.70 % (607461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.70 % (607461)CaDiCaL version: 2.1.3
% 0.32/2.70 % (607461)Termination reason: Instruction limit
% 0.32/2.70 % (607461)Termination phase: Saturation
% 0.32/2.70 % (607461)Time elapsed: 0.136 s
% 0.32/2.70 % (607461)Peak memory usage: 90 MB
% 0.32/2.70 % (607461)Instructions burned: 257 (million)
% 0.32/2.70 % (607459)Instruction limit reached!
% 0.32/2.70 % (607459)------------------------------
% 0.32/2.70 % (607459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.70 % (607459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.70 % (607459)CaDiCaL version: 2.1.3
% 0.32/2.70 % (607459)Termination reason: Instruction limit
% 0.32/2.70 % (607459)Termination phase: Saturation
% 0.32/2.70 % (607459)Time elapsed: 0.134 s
% 0.32/2.70 % (607459)Peak memory usage: 89 MB
% 0.32/2.70 % (607459)Instructions burned: 136 (million)
% 0.32/2.70 % (607460)Instruction limit reached!
% 0.32/2.70 % (607460)------------------------------
% 0.32/2.70 % (607460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.70 % (607460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.70 % (607460)CaDiCaL version: 2.1.3
% 0.32/2.70 % (607460)Termination reason: Instruction limit
% 0.32/2.70 % (607460)Termination phase: Saturation
% 0.32/2.70 % (607460)Time elapsed: 0.171 s
% 0.32/2.70 % (607460)Peak memory usage: 90 MB
% 0.32/2.70 % (607460)Instructions burned: 181 (million)
% 0.32/2.71 % (607470)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1013534195:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 0.32/2.71 % (607471)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1245944719:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 0.32/2.71 % (607472)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1089517053:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 0.32/2.71 % (607472)Instruction limit reached!
% 0.32/2.71 % (607472)------------------------------
% 0.32/2.71 % (607472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.71 % (607472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.71 % (607472)CaDiCaL version: 2.1.3
% 0.32/2.71 % (607472)Termination reason: Instruction limit
% 0.32/2.71 % (607472)Termination phase: Saturation
% 0.32/2.71 % (607472)Time elapsed: 0.213 s
% 0.32/2.71 % (607472)Peak memory usage: 90 MB
% 0.32/2.71 % (607472)Instructions burned: 217 (million)
% 0.32/2.71 % (607476)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=2561979104:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 0.32/2.71 % (607470)First to succeed.
% 0.32/2.71 % (607470)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-607451"
% 0.32/2.71 % (607457)Also succeeded, but the first one will report.
% 0.32/2.71 % (607462)Instruction limit reached!
% 0.32/2.71 % (607462)------------------------------
% 0.32/2.71 % (607462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.71 % (607462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.71 % (607462)CaDiCaL version: 2.1.3
% 0.32/2.71 % (607462)Termination reason: Instruction limit
% 0.32/2.71 % (607462)Termination phase: Saturation
% 0.32/2.71 % (607462)Time elapsed: 1.129 s
% 0.32/2.71 % (607462)Peak memory usage: 101 MB
% 0.32/2.71 % (607462)Instructions burned: 1188 (million)
% 0.32/2.71 % (607476)Instruction limit reached!
% 0.32/2.71 % (607476)------------------------------
% 0.32/2.71 % (607476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.71 % (607476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.71 % (607476)CaDiCaL version: 2.1.3
% 0.32/2.71 % (607476)Termination reason: Instruction limit
% 0.32/2.71 % (607476)Termination phase: Saturation
% 0.32/2.71 % (607476)Time elapsed: 0.321 s
% 0.32/2.71 % (607476)Peak memory usage: 93 MB
% 0.32/2.71 % (607476)Instructions burned: 317 (million)
% 0.32/2.71 % (607470)Refutation found. Thanks to Tanya!
% 0.32/2.71 % SZS status Unsatisfiable for theBenchmark
% 0.32/2.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.32/2.71 % (607470)------------------------------
% 0.32/2.71 % (607470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.32/2.71 % (607470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/2.71 % (607470)CaDiCaL version: 2.1.3
% 0.32/2.71 % (607470)Termination reason: Refutation
% 0.32/2.71 % (607470)Time elapsed: 0.642 s
% 0.32/2.71 % (607470)Peak memory usage: 130 MB
% 0.32/2.71 % (607470)Instructions burned: 1047 (million)
% 0.32/2.71 % (607470)------------------------------
% 0.32/2.71 % (607470)------------------------------
% 0.32/2.71 % (607451)Success in time 1.454 s
% 0.32/2.71 % Vampire exiting
%------------------------------------------------------------------------------