%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 10:15:34 AM UTC 2026
% Result : Unsatisfiable 3.58s 1.38s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c05) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,mult(X0,X2))) = mult(mult(X0,mult(X1,X0)),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X0,X1] : mult(i(X0),mult(X0,X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
! [X0] : mult(op_c,X0) = mult(X0,op_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c09) ).
fof(f10,negated_conjecture,
mult(i(op_c),a) != mult(a,i(op_c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f29,plain,
! [X0] : mult(op_c,rd(X0,op_c)) = X0,
inference(superposition,[],[f9,f3]) ).
fof(f45,plain,
! [X0] : unit = mult(i(X0),X0),
inference(superposition,[],[f8,f5]) ).
fof(f46,plain,
! [X0,X1] : ld(X1,X0) = mult(i(X1),X0),
inference(superposition,[],[f8,f1]) ).
fof(f55,plain,
unit = mult(op_c,i(op_c)),
inference(superposition,[],[f45,f9]) ).
fof(f84,plain,
! [X2,X0,X1] : mult(X1,mult(rd(X0,X1),mult(X1,X2))) = mult(mult(X1,X0),X2),
inference(superposition,[],[f7,f3]) ).
fof(f233,plain,
mult(a,i(op_c)) != ld(op_c,a),
inference(superposition,[],[f10,f46]) ).
fof(f563,plain,
! [X0] : mult(mult(op_c,X0),i(op_c)) = mult(op_c,mult(rd(X0,op_c),unit)),
inference(superposition,[],[f84,f55]) ).
fof(f602,plain,
! [X0] : mult(op_c,rd(X0,op_c)) = mult(mult(op_c,X0),i(op_c)),
inference(forward_demodulation,[],[f563,f5]) ).
fof(f635,plain,
! [X0] : mult(mult(op_c,X0),i(op_c)) = X0,
inference(forward_demodulation,[],[f602,f29]) ).
fof(f769,plain,
! [X0] : ld(op_c,X0) = mult(X0,i(op_c)),
inference(superposition,[],[f635,f1]) ).
fof(f1042,plain,
ld(op_c,a) != ld(op_c,a),
inference(superposition,[],[f233,f769]) ).
fof(f1043,plain,
$false,
inference(trivial_inequality_removal,[],[f1042]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP680-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 10:38:21 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 Running first-order theorem proving
% 0.13/0.38 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
% 3.58/1.38 % (3347053)Detected a unit-equality problem, will run specialized UEQ schedule.
% 3.58/1.38 % (3347102)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3668787780:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 3.58/1.38 % (3347105)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1507136540:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 3.58/1.38 % (3347104)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=773340680:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 3.58/1.38 % (3347103)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1248636285:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 3.58/1.38 % (3347106)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1947434150:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 3.58/1.38 % (3347100)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=3203561662:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 3.58/1.38 % (3347101)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=1946692283:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 3.58/1.38 % (3347106)First to succeed.
% 3.58/1.38 % (3347106)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3347053"
% 3.58/1.38 % (3347104)Also succeeded, but the first one will report.
% 3.58/1.38 % (3347103)Instruction limit reached!
% 3.58/1.38 % (3347103)------------------------------
% 3.58/1.38 % (3347103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.38 % (3347103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.38 % (3347103)CaDiCaL version: 2.1.3
% 3.58/1.38 % (3347103)Termination reason: Instruction limit
% 3.58/1.38 % (3347103)Termination phase: Saturation
% 3.58/1.38 % (3347103)Time elapsed: 0.083 s
% 3.58/1.38 % (3347103)Peak memory usage: 88 MB
% 3.58/1.38 % (3347103)Instructions burned: 137 (million)
% 3.58/1.38 % (3347105)Also succeeded, but the first one will report.
% 3.58/1.38 % (3347160)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3023121305:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 3.58/1.38 % (3347106)Refutation found. Thanks to Tanya!
% 3.58/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.58/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.38 % (3347106)------------------------------
% 3.58/1.38 % (3347106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.38 % (3347106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.38 % (3347106)CaDiCaL version: 2.1.3
% 3.58/1.38 % (3347106)Termination reason: Refutation
% 3.58/1.38 % (3347106)Time elapsed: 0.023 s
% 3.58/1.38 % (3347106)Peak memory usage: 88 MB
% 3.58/1.38 % (3347106)Instructions burned: 36 (million)
% 3.58/1.38 % (3347106)------------------------------
% 3.58/1.38 % (3347106)------------------------------
% 3.58/1.38 % (3347053)Success in time 0.432 s
% 3.58/1.38 % Vampire exiting
%------------------------------------------------------------------------------