%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP753-1 : 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 : n008.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 10:16:06 AM UTC 2026
% Result : Unsatisfiable 16.58s 16.43s
% Output : Refutation 39.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 7
% Syntax : Number of formulae : 85 ( 85 unt; 0 def)
% Number of atoms : 85 ( 84 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 243 ( 243 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
fof(f5,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(mult(rd(X0,X0),X1),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),mult(X1,ld(X2,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
fof(f7,negated_conjecture,
mult(mult(a,mult(a,a)),mult(b,c)) != mult(mult(a,b),mult(mult(a,a),c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f16,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(mult(rd(X0,X0),X1),mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f5]) ).
fof(f17,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f6]) ).
fof(f18,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X1,X0)) = mult(X0,mult(X2,ld(ld(X1,X0),ld(X1,X0)))),
inference(superposition,[],[f6,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(mult(rd(X1,X1),X2),X0),
inference(superposition,[],[f5,f1]) ).
fof(f20,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(rd(X1,X1),X0),X2)),
inference(superposition,[],[f5,f1]) ).
fof(f21,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f22,plain,
! [X2,X0,X1] : mult(mult(rd(X0,X1),X2),X1) = mult(X0,mult(X2,ld(X1,X1))),
inference(superposition,[],[f6,f3]) ).
fof(f26,plain,
! [X2,X0,X1] : mult(rd(X0,X0),X1) = rd(mult(X0,mult(X1,X2)),mult(X0,X2)),
inference(superposition,[],[f4,f5]) ).
fof(f28,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f81,plain,
! [X2,X0,X1] : mult(ld(X1,X0),ld(X2,X2)) = ld(mult(X1,X2),mult(X0,X2)),
inference(superposition,[],[f17,f1]) ).
fof(f82,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = ld(mult(rd(X0,X1),X2),mult(X0,X2)),
inference(superposition,[],[f17,f3]) ).
fof(f108,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X1),X2),ld(X1,X1)) = ld(X0,mult(X2,X1)),
inference(superposition,[],[f81,f3]) ).
fof(f137,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X2)) = ld(mult(rd(rd(X0,X2),X1),X2),X0),
inference(superposition,[],[f82,f3]) ).
fof(f155,plain,
! [X2,X0,X1] : mult(rd(X0,X2),X1) = rd(mult(X0,mult(X1,ld(X2,X2))),X2),
inference(superposition,[],[f4,f22]) ).
fof(f181,plain,
! [X2,X0,X1] : mult(rd(X2,X0),X1) = rd(mult(X2,X1),mult(X0,ld(X1,X1))),
inference(superposition,[],[f28,f82]) ).
fof(f370,plain,
! [X2,X0,X1] : mult(ld(rd(X1,X1),X0),X2) = ld(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f20]) ).
fof(f424,plain,
! [X2,X0,X1] : mult(X1,ld(X2,X0)) = ld(mult(rd(X1,X1),X2),mult(X1,X0)),
inference(superposition,[],[f16,f1]) ).
fof(f468,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X2)) = mult(X1,ld(ld(rd(X1,X1),X0),X2)),
inference(superposition,[],[f424,f1]) ).
fof(f475,plain,
! [X2,X0,X1] : ld(mult(rd(X1,X1),X2),X0) = mult(X1,ld(X2,ld(X1,X0))),
inference(superposition,[],[f424,f1]) ).
fof(f504,plain,
! [X2,X0,X1] : rd(mult(X0,mult(X1,ld(X2,X2))),X2) = mult(rd(mult(rd(X0,X0),X1),X2),X0),
inference(superposition,[],[f155,f5]) ).
fof(f525,plain,
! [X2,X0,X1] : mult(rd(X0,X2),X1) = mult(rd(mult(rd(X0,X0),X1),X2),X0),
inference(forward_demodulation,[],[f504,f155]) ).
fof(f692,plain,
! [X2,X0,X1] : mult(rd(X2,X2),X1) = rd(mult(mult(X0,X1),ld(X0,X2)),mult(X2,ld(ld(X0,X2),ld(X0,X2)))),
inference(superposition,[],[f26,f18]) ).
fof(f739,plain,
! [X2,X0,X1] : mult(rd(X2,X2),X1) = mult(rd(mult(X0,X1),X2),ld(X0,X2)),
inference(forward_demodulation,[],[f692,f181]) ).
fof(f770,plain,
! [X2,X0,X1] : mult(ld(rd(X1,X1),X2),ld(X1,X0)) = ld(X1,mult(X2,X0)),
inference(superposition,[],[f370,f1]) ).
fof(f848,plain,
! [X2,X0,X1] : ld(rd(X0,X0),X1) = rd(ld(X0,mult(X1,X2)),ld(X0,X2)),
inference(superposition,[],[f4,f770]) ).
fof(f1188,plain,
! [X2,X0,X1] : rd(X2,mult(X0,ld(X1,X1))) = mult(rd(rd(X2,X1),X0),X1),
inference(superposition,[],[f28,f137]) ).
fof(f1379,plain,
! [X2,X0,X1] : mult(rd(X0,X1),ld(X2,X1)) = mult(rd(X1,X1),ld(X2,X0)),
inference(superposition,[],[f739,f1]) ).
fof(f1913,plain,
! [X2,X0,X1] : mult(rd(X1,X2),X0) = mult(rd(X2,X2),ld(rd(X2,X0),X1)),
inference(superposition,[],[f1379,f21]) ).
fof(f2285,plain,
! [X2,X0,X1] : rd(ld(X1,X0),ld(X1,X2)) = ld(rd(X1,X1),rd(X0,X2)),
inference(superposition,[],[f848,f3]) ).
fof(f2704,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X0,ld(X1,ld(X0,mult(mult(rd(X0,X0),X2),X1)))),
inference(superposition,[],[f17,f475]) ).
fof(f2752,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X0,ld(X1,ld(X0,mult(X0,mult(X2,ld(X0,X1)))))),
inference(forward_demodulation,[],[f2704,f19]) ).
fof(f2780,plain,
! [X2,X0,X1] : mult(X2,ld(X1,X1)) = mult(X0,ld(X1,mult(X2,ld(X0,X1)))),
inference(forward_demodulation,[],[f2752,f2]) ).
fof(f2821,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X2,X0),mult(X2,X0))) = mult(X2,ld(mult(X2,X0),mult(X1,X0))),
inference(superposition,[],[f2780,f2]) ).
fof(f2935,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X2,X0),mult(X2,X0))) = mult(X2,mult(ld(X2,X1),ld(X0,X0))),
inference(forward_demodulation,[],[f2821,f81]) ).
fof(f2951,plain,
! [X2,X0,X1] : mult(X2,mult(ld(X2,X1),ld(X0,X0))) = mult(X1,mult(ld(X2,X2),ld(X0,X0))),
inference(forward_demodulation,[],[f2935,f81]) ).
fof(f3834,plain,
! [X2,X3,X0,X1] : mult(ld(rd(X1,X1),X3),ld(ld(rd(X1,X1),X0),X2)) = ld(X1,mult(X3,ld(X0,mult(X1,X2)))),
inference(superposition,[],[f370,f468]) ).
fof(f4429,plain,
! [X2,X3,X0,X1] : mult(rd(mult(rd(X0,X1),X2),X3),X1) = mult(rd(X1,X3),ld(rd(X1,X2),X0)),
inference(superposition,[],[f525,f1913]) ).
fof(f7929,plain,
! [X2,X0,X1] : rd(mult(X0,mult(ld(X1,X1),ld(X2,X2))),mult(ld(X1,X0),ld(X2,X2))) = X1,
inference(superposition,[],[f4,f2951]) ).
fof(f7992,plain,
! [X2,X0,X1] : rd(mult(X0,mult(ld(X0,X1),ld(X2,X2))),mult(ld(X0,X0),ld(X2,X2))) = X1,
inference(superposition,[],[f4,f2951]) ).
fof(f8117,plain,
! [X2,X0,X1] : mult(rd(rd(mult(X0,mult(ld(X0,X1),ld(X2,X2))),X2),ld(X0,X0)),X2) = X1,
inference(forward_demodulation,[],[f7992,f1188]) ).
fof(f8171,plain,
! [X2,X0,X1] : mult(rd(rd(mult(X0,mult(ld(X1,X1),ld(X2,X2))),X2),ld(X1,X0)),X2) = X1,
inference(forward_demodulation,[],[f7929,f1188]) ).
fof(f8243,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X2),ld(X0,X1)),ld(X0,X0)),X2) = X1,
inference(forward_demodulation,[],[f8117,f155]) ).
fof(f8275,plain,
! [X2,X0,X1] : mult(rd(mult(rd(X0,X2),ld(X1,X1)),ld(X1,X0)),X2) = X1,
inference(forward_demodulation,[],[f8171,f155]) ).
fof(f8333,plain,
! [X2,X0,X1] : mult(rd(X2,ld(X0,X0)),ld(rd(X2,ld(X0,X1)),X0)) = X1,
inference(forward_demodulation,[],[f8243,f4429]) ).
fof(f8356,plain,
! [X2,X0,X1] : mult(rd(X2,ld(X1,X0)),ld(rd(X2,ld(X1,X1)),X0)) = X1,
inference(forward_demodulation,[],[f8275,f4429]) ).
fof(f8465,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(rd(X1,ld(X2,X2)),ld(rd(X1,X0),X2)),
inference(superposition,[],[f8333,f2]) ).
fof(f8743,plain,
! [X2,X0,X1] : rd(X2,ld(X0,X0)) = rd(mult(X0,X1),ld(rd(X2,X1),X0)),
inference(superposition,[],[f4,f8465]) ).
fof(f9443,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X0),rd(X1,X2)),ld(rd(ld(X0,X1),ld(X0,X0)),X2)) = X0,
inference(superposition,[],[f8356,f2285]) ).
fof(f9607,plain,
! [X2,X0,X1] : mult(ld(rd(X0,X0),rd(X1,X2)),ld(ld(rd(X0,X0),rd(X1,X0)),X2)) = X0,
inference(forward_demodulation,[],[f9443,f2285]) ).
fof(f9659,plain,
! [X2,X0,X1] : ld(X0,mult(rd(X1,X2),ld(rd(X1,X0),mult(X0,X2)))) = X0,
inference(forward_demodulation,[],[f9607,f3834]) ).
fof(f9756,plain,
! [X2,X0,X1] : rd(mult(X2,X1),ld(X0,X2)) = rd(mult(X0,X1),ld(X2,X2)),
inference(superposition,[],[f8743,f4]) ).
fof(f10586,plain,
! [X2,X0,X1] : mult(X0,X0) = mult(rd(X1,X2),ld(rd(X1,X0),mult(X0,X2))),
inference(superposition,[],[f1,f9659]) ).
fof(f10761,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(rd(mult(X0,X1),X2),ld(X0,mult(X1,X2))),
inference(superposition,[],[f10586,f4]) ).
fof(f10780,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(rd(X2,ld(X1,X0)),ld(rd(X2,X1),X0)),
inference(superposition,[],[f10586,f1]) ).
fof(f11435,plain,
! [X2,X0,X1] : rd(mult(X1,X0),X2) = rd(mult(X0,X0),ld(X1,mult(X0,X2))),
inference(superposition,[],[f4,f10761]) ).
fof(f11672,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(rd(X2,ld(X1,mult(rd(X2,X1),X0))),X0),
inference(superposition,[],[f10780,f2]) ).
fof(f12085,plain,
! [X2,X0,X1] : mult(X1,X1) = mult(rd(mult(X0,X1),ld(X1,mult(X0,X2))),X2),
inference(superposition,[],[f11672,f4]) ).
fof(f12434,plain,
! [X2,X0,X1] : mult(ld(X0,mult(X1,X2)),ld(X2,X2)) = ld(mult(X0,X0),mult(mult(X1,X0),X2)),
inference(superposition,[],[f82,f12085]) ).
fof(f12437,plain,
! [X2,X0,X1] : rd(mult(X0,X0),X2) = rd(mult(X1,X0),ld(X0,mult(X1,X2))),
inference(superposition,[],[f4,f12085]) ).
fof(f12810,plain,
! [X2,X0,X1] : mult(X2,X0) = mult(rd(mult(X0,X0),X1),ld(X0,mult(X2,X1))),
inference(superposition,[],[f3,f12437]) ).
fof(f14107,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = mult(rd(mult(X2,X2),X1),ld(X2,X0)),
inference(superposition,[],[f12810,f3]) ).
fof(f14443,plain,
! [X2,X0,X1] : mult(X0,ld(X2,X1)) = mult(rd(X1,ld(X0,mult(X2,X2))),X2),
inference(superposition,[],[f14107,f28]) ).
fof(f14783,plain,
! [X2,X3,X0,X1] : mult(rd(mult(X0,X1),X2),ld(X1,X3)) = mult(rd(X3,ld(X0,mult(X1,X2))),X1),
inference(superposition,[],[f14107,f11435]) ).
fof(f19464,plain,
! [X2,X0,X1] : ld(mult(X0,X0),mult(mult(X1,X0),mult(X0,X2))) = mult(mult(ld(rd(X0,X0),X1),X2),ld(mult(X0,X2),mult(X0,X2))),
inference(superposition,[],[f12434,f370]) ).
fof(f19834,plain,
! [X2,X0,X1] : ld(mult(X0,X0),mult(mult(X1,X0),mult(X0,X2))) = mult(mult(ld(rd(X0,X0),X1),X2),mult(ld(X0,X0),ld(X2,X2))),
inference(forward_demodulation,[],[f19464,f81]) ).
fof(f19962,plain,
! [X2,X0,X1] : ld(mult(X0,X0),mult(mult(X1,X0),mult(X0,X2))) = mult(mult(ld(rd(X0,X0),X1),ld(X0,X0)),X2),
inference(forward_demodulation,[],[f19834,f6]) ).
fof(f20026,plain,
! [X2,X0,X1] : ld(mult(X0,X0),mult(mult(X1,X0),mult(X0,X2))) = mult(ld(X0,mult(X1,X0)),X2),
inference(forward_demodulation,[],[f19962,f108]) ).
fof(f21024,plain,
! [X2,X0,X1] : mult(mult(X0,X0),ld(X0,mult(X2,X1))) = mult(rd(mult(mult(X0,X0),X1),ld(X2,mult(X0,X0))),X0),
inference(superposition,[],[f14443,f9756]) ).
fof(f21222,plain,
! [X2,X0,X1] : mult(mult(X0,X0),ld(X0,mult(X2,X1))) = mult(rd(mult(X2,X0),X0),ld(X0,mult(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f21024,f14783]) ).
fof(f21278,plain,
! [X2,X0,X1] : mult(mult(X0,X0),ld(X0,mult(X2,X1))) = mult(X2,ld(X0,mult(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f21222,f4]) ).
fof(f23819,plain,
! [X2,X0,X1] : mult(ld(X1,X0),X2) = ld(mult(X1,X1),mult(X0,mult(X1,X2))),
inference(superposition,[],[f20026,f3]) ).
fof(f24378,plain,
! [X2,X0,X1] : mult(X1,mult(X0,X2)) = mult(mult(X0,X0),mult(ld(X0,X1),X2)),
inference(superposition,[],[f1,f23819]) ).
fof(f24677,plain,
! [X2,X0,X1] : mult(mult(X1,X1),mult(X0,X2)) = mult(mult(X1,X0),mult(X1,X2)),
inference(superposition,[],[f24378,f2]) ).
fof(f25120,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X0) = mult(mult(X1,X1),mult(X2,ld(X1,X0))),
inference(superposition,[],[f24677,f1]) ).
fof(f27255,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X1,X1)),mult(X0,X2)) = mult(mult(X1,X1),mult(X0,ld(X1,mult(mult(X1,X1),X2)))),
inference(superposition,[],[f25120,f21278]) ).
fof(f27507,plain,
! [X2,X0,X1] : mult(mult(X1,mult(X1,X1)),mult(X0,X2)) = mult(mult(X1,X0),mult(mult(X1,X1),X2)),
inference(forward_demodulation,[],[f27255,f25120]) ).
fof(f39525,plain,
mult(mult(a,b),mult(mult(a,a),c)) != mult(mult(a,b),mult(mult(a,a),c)),
inference(superposition,[],[f7,f27507]) ).
fof(f39795,plain,
$false,
inference(trivial_inequality_removal,[],[f39525]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP753-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/10.47 % Computer : n008.cluster.edu
% 0.18/10.47 % Model : x86_64 x86_64
% 0.18/10.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.47 % Memory : 8046.5625MB
% 0.18/10.47 % OS : Linux 6.8.0-71-generic
% 0.18/10.47 % CPULimit : 300
% 0.18/10.47 % WCLimit : 300
% 0.18/10.47 % DateTime : Sun Sep 27 10:43:05 UTC 2026
% 0.18/10.47 % CPUTime :
% 0.18/10.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/10.51 Running first-order theorem proving
% 0.22/10.51 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
% 16.58/16.43 % (1036112)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.58/16.43 % (1036117)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=1675584842:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.58/16.43 % (1036123)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=754887415:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.58/16.43 % (1036119)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1311698788:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.58/16.43 % (1036118)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=1672325208:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.58/16.43 % (1036121)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2451856954:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.58/16.43 % (1036120)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2840797465:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.58/16.43 % (1036122)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3343243884:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.58/16.43 % (1036120)Instruction limit reached!
% 16.58/16.43 % (1036120)------------------------------
% 16.58/16.43 % (1036120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036120)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036120)Termination reason: Instruction limit
% 16.58/16.43 % (1036120)Termination phase: Saturation
% 16.58/16.43 % (1036120)Time elapsed: 0.081 s
% 16.58/16.43 % (1036120)Peak memory usage: 88 MB
% 16.58/16.43 % (1036120)Instructions burned: 137 (million)
% 16.58/16.43 % (1036121)Instruction limit reached!
% 16.58/16.43 % (1036121)------------------------------
% 16.58/16.43 % (1036121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036121)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036121)Termination reason: Instruction limit
% 16.58/16.43 % (1036121)Termination phase: Saturation
% 16.58/16.43 % (1036121)Time elapsed: 0.106 s
% 16.58/16.43 % (1036121)Peak memory usage: 89 MB
% 16.58/16.43 % (1036121)Instructions burned: 182 (million)
% 16.58/16.43 % (1036122)Instruction limit reached!
% 16.58/16.43 % (1036122)------------------------------
% 16.58/16.43 % (1036122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036122)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036122)Termination reason: Instruction limit
% 16.58/16.43 % (1036122)Termination phase: Saturation
% 16.58/16.43 % (1036122)Time elapsed: 0.163 s
% 16.58/16.43 % (1036122)Peak memory usage: 91 MB
% 16.58/16.43 % (1036122)Instructions burned: 257 (million)
% 16.58/16.43 % (1036131)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2195169979:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 16.58/16.43 % (1036132)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4126662651:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 16.58/16.43 % (1036133)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1896885450:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 16.58/16.43 % (1036133)Instruction limit reached!
% 16.58/16.43 % (1036133)------------------------------
% 16.58/16.43 % (1036133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036133)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036133)Termination reason: Instruction limit
% 16.58/16.43 % (1036133)Termination phase: Saturation
% 16.58/16.43 % (1036133)Time elapsed: 0.117 s
% 16.58/16.43 % (1036133)Peak memory usage: 90 MB
% 16.58/16.43 % (1036133)Instructions burned: 216 (million)
% 16.58/16.43 % (1036137)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=2635786241:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 16.58/16.43 % (1036123)Instruction limit reached!
% 16.58/16.43 % (1036123)------------------------------
% 16.58/16.43 % (1036123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036123)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036123)Termination reason: Instruction limit
% 16.58/16.43 % (1036123)Termination phase: Saturation
% 16.58/16.43 % (1036123)Time elapsed: 0.663 s
% 16.58/16.43 % (1036123)Peak memory usage: 101 MB
% 16.58/16.43 % (1036123)Instructions burned: 1187 (million)
% 16.58/16.43 % (1036137)Instruction limit reached!
% 16.58/16.43 % (1036137)------------------------------
% 16.58/16.43 % (1036137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036137)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036137)Termination reason: Instruction limit
% 16.58/16.43 % (1036137)Termination phase: Saturation
% 16.58/16.43 % (1036137)Time elapsed: 0.199 s
% 16.58/16.43 % (1036137)Peak memory usage: 93 MB
% 16.58/16.43 % (1036137)Instructions burned: 319 (million)
% 16.58/16.43 % (1036139)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1182458040:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 16.58/16.43 % (1036140)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1634116909:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 16.58/16.43 % (1036131)Instruction limit reached!
% 16.58/16.43 % (1036131)------------------------------
% 16.58/16.43 % (1036131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036131)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036131)Termination reason: Instruction limit
% 16.58/16.43 % (1036131)Termination phase: Saturation
% 16.58/16.43 % (1036131)Time elapsed: 1.283 s
% 16.58/16.43 % (1036131)Peak memory usage: 141 MB
% 16.58/16.43 % (1036131)Instructions burned: 2052 (million)
% 16.58/16.43 % (1036143)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=583559540:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 16.58/16.43 % (1036140)Instruction limit reached!
% 16.58/16.43 % (1036140)------------------------------
% 16.58/16.43 % (1036140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036140)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036140)Termination reason: Instruction limit
% 16.58/16.43 % (1036140)Termination phase: Saturation
% 16.58/16.43 % (1036140)Time elapsed: 2.018 s
% 16.58/16.43 % (1036140)Peak memory usage: 131 MB
% 16.58/16.43 % (1036140)Instructions burned: 2836 (million)
% 16.58/16.43 % (1036146)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=372301185:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2969 on theBenchmark for (2969ds/11832Mi)
% 16.58/16.43 % (1036132)Instruction limit reached!
% 16.58/16.43 % (1036132)------------------------------
% 16.58/16.43 % (1036132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036132)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036132)Termination reason: Instruction limit
% 16.58/16.43 % (1036132)Termination phase: Saturation
% 16.58/16.43 % (1036132)Time elapsed: 2.903 s
% 16.58/16.43 % (1036132)Peak memory usage: 170 MB
% 16.58/16.43 % (1036132)Instructions burned: 4949 (million)
% 16.58/16.43 % (1036148)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1899681054:i=2279:fgj=on:bd=all_2967 on theBenchmark for (2967ds/2279Mi)
% 16.58/16.43 % (1036148)Instruction limit reached!
% 16.58/16.43 % (1036148)------------------------------
% 16.58/16.43 % (1036148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.58/16.43 % (1036148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.58/16.43 % (1036148)CaDiCaL version: 2.1.3
% 16.58/16.43 % (1036148)Termination reason: Instruction limit
% 16.58/16.43 % (1036148)Termination phase: Saturation
% 16.58/16.43 % (1036148)Time elapsed: 1.375 s
% 16.58/16.43 % (1036148)Peak memory usage: 140 MB
% 16.58/16.43 % (1036148)Instructions burned: 2279 (million)
% 16.58/16.43 % (1036211)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=482464036:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 16.58/16.43 % (1036118)First to succeed.
% 16.58/16.43 % (1036118)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1036112"
% 16.58/16.43 % (1036118)Refutation found. Thanks to Tanya!
% 16.58/16.43 % SZS status Unsatisfiable for theBenchmark
% 16.58/16.43 % SZS output start Proof for theBenchmark
% See solution above
% 39.47/16.62 % (1036118)------------------------------
% 39.47/16.62 % (1036118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.47/16.62 % (1036118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.47/16.62 % (1036118)CaDiCaL version: 2.1.3
% 39.47/16.62 % (1036118)Termination reason: Refutation
% 39.47/16.62 % (1036118)Time elapsed: 5.051 s
% 39.47/16.62 % (1036118)Peak memory usage: 208 MB
% 39.47/16.62 % (1036118)Instructions burned: 8567 (million)
% 39.47/16.62 % (1036118)------------------------------
% 39.47/16.62 % (1036118)------------------------------
% 39.47/16.62 % (1036112)Success in time 5.483 s
% 39.47/16.62 % Vampire exiting
%------------------------------------------------------------------------------