%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP654-12 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 10:15:21 AM UTC 2026
% Result : Unsatisfiable 28.44s 4.97s
% Output : Refutation 29.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 8
% Syntax : Number of formulae : 181 ( 181 unt; 2 def)
% Number of atoms : 181 ( 180 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 288 ( 288 !; 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,mult(X0,X2))) = mult(mult(mult(X0,X1),X0),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
fof(f6,negated_conjecture,
mult(rd(x1,x1),x0) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
fof(f7,plain,
x0 != mult(rd(x1,x1),x0),
inference(reorient_equations,[],[f6]) ).
fof(f8,definition,
sF0 = rd(x1,x1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f9,plain,
rd(x1,x1) = sF0,
inference(reorient_equations,[],[f8]) ).
fof(f10,definition,
sF1 = mult(sF0,x0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f11,plain,
mult(sF0,x0) = sF1,
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
x0 != sF1,
inference(definition_folding,[],[f7,f11,f9]) ).
fof(f13,plain,
x1 = mult(sF0,x1),
inference(superposition,[],[f3,f9]) ).
fof(f14,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),mult(X1,X2))) = mult(mult(X0,X1),X2),
inference(superposition,[],[f5,f1]) ).
fof(f16,plain,
! [X2,X0,X1] : mult(rd(X0,X1),mult(X1,mult(rd(X0,X1),X2))) = mult(mult(X0,rd(X0,X1)),X2),
inference(superposition,[],[f5,f3]) ).
fof(f24,plain,
! [X0,X1] : ld(rd(X0,X1),X0) = X1,
inference(superposition,[],[f2,f3]) ).
fof(f25,plain,
x0 = ld(sF0,sF1),
inference(superposition,[],[f2,f11]) ).
fof(f26,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f27,plain,
! [X2,X0,X1] : mult(mult(X0,X1),X0) = rd(mult(X0,mult(X1,mult(X0,X2))),X2),
inference(superposition,[],[f4,f5]) ).
fof(f31,plain,
x1 = ld(sF0,x1),
inference(superposition,[],[f24,f9]) ).
fof(f36,plain,
! [X2,X0,X1] : mult(mult(X2,X1),ld(X1,X0)) = mult(X1,mult(ld(X1,X2),X0)),
inference(superposition,[],[f14,f1]) ).
fof(f43,plain,
! [X2,X0,X1] : mult(ld(X1,X0),mult(X1,X2)) = ld(X1,mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f14]) ).
fof(f61,plain,
! [X2,X0,X1] : ld(X0,X1) = rd(ld(X0,mult(mult(X1,X0),X2)),mult(X0,X2)),
inference(superposition,[],[f4,f43]) ).
fof(f62,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(ld(X0,X1),ld(X0,mult(mult(X1,X0),X2))),
inference(superposition,[],[f2,f43]) ).
fof(f68,plain,
! [X2,X0,X1] : mult(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X0)),ld(X1,X0)),
inference(superposition,[],[f27,f1]) ).
fof(f77,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,mult(X1,X2))),X1) = rd(mult(X1,X0),X2),
inference(superposition,[],[f27,f3]) ).
fof(f97,plain,
! [X2,X0,X1] : mult(mult(X1,rd(X0,X2)),X1) = rd(mult(X1,X0),ld(X1,X2)),
inference(superposition,[],[f68,f3]) ).
fof(f117,plain,
! [X2,X0,X1] : mult(mult(X1,rd(ld(X1,X0),X2)),X1) = rd(X0,ld(X1,X2)),
inference(superposition,[],[f97,f1]) ).
fof(f149,plain,
! [X0,X1] : mult(mult(X0,rd(X0,X1)),X1) = mult(rd(X0,X1),mult(X1,X0)),
inference(superposition,[],[f16,f3]) ).
fof(f223,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,rd(X0,X1)),X2)) = mult(X0,ld(X1,X2)),
inference(superposition,[],[f36,f3]) ).
fof(f313,plain,
! [X2,X0,X1] : mult(ld(X1,rd(X0,X1)),X2) = ld(X1,mult(X0,ld(X1,X2))),
inference(superposition,[],[f2,f223]) ).
fof(f348,plain,
! [X2,X0,X1] : ld(X1,rd(X0,X1)) = rd(ld(X1,mult(X0,X2)),mult(X1,X2)),
inference(superposition,[],[f61,f3]) ).
fof(f351,plain,
! [X0] : ld(x1,sF0) = rd(ld(x1,mult(x1,X0)),mult(x1,X0)),
inference(superposition,[],[f61,f13]) ).
fof(f398,plain,
! [X0] : ld(x1,sF0) = rd(X0,mult(x1,X0)),
inference(forward_demodulation,[],[f351,f2]) ).
fof(f420,plain,
! [X0] : ld(x1,sF0) = rd(ld(x1,X0),X0),
inference(superposition,[],[f398,f1]) ).
fof(f425,plain,
! [X0] : mult(x1,X0) = ld(ld(x1,sF0),X0),
inference(superposition,[],[f24,f398]) ).
fof(f437,plain,
! [X0] : ld(x1,X0) = mult(ld(x1,sF0),X0),
inference(superposition,[],[f3,f420]) ).
fof(f525,plain,
! [X2,X0,X1] : ld(X1,rd(rd(X0,X2),X1)) = rd(ld(X1,X0),mult(X1,X2)),
inference(superposition,[],[f348,f3]) ).
fof(f529,plain,
! [X0,X1] : ld(X1,rd(X1,X1)) = rd(X0,mult(X1,X0)),
inference(superposition,[],[f348,f2]) ).
fof(f531,plain,
! [X2,X0,X1] : ld(X1,rd(X2,X1)) = rd(ld(X1,mult(X2,ld(X1,X0))),X0),
inference(superposition,[],[f348,f1]) ).
fof(f586,plain,
! [X2,X0,X1] : rd(X0,mult(X1,X0)) = rd(X2,mult(X1,X2)),
inference(superposition,[],[f529,f529]) ).
fof(f587,plain,
! [X0,X1] : ld(X1,rd(X1,X1)) = rd(ld(X1,X0),X0),
inference(superposition,[],[f529,f1]) ).
fof(f599,plain,
! [X0,X1] : rd(X1,X1) = mult(X1,rd(X0,mult(X1,X0))),
inference(superposition,[],[f1,f529]) ).
fof(f603,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X0)),mult(X1,X2)) = ld(X1,mult(mult(rd(X1,X1),X1),X2)),
inference(superposition,[],[f43,f529]) ).
fof(f609,plain,
! [X2,X0,X1] : mult(ld(X0,rd(X0,X0)),mult(mult(X0,X1),mult(ld(X0,rd(X0,X0)),X2))) = mult(mult(X1,ld(X0,rd(X0,X0))),X2),
inference(superposition,[],[f16,f529]) ).
fof(f619,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,rd(X0,X0))),X2) = ld(X0,mult(X0,ld(X0,mult(mult(X0,X1),mult(ld(X0,rd(X0,X0)),X2))))),
inference(forward_demodulation,[],[f609,f313]) ).
fof(f621,plain,
! [X2,X0,X1] : ld(X1,mult(X1,X2)) = mult(rd(X0,mult(X1,X0)),mult(X1,X2)),
inference(forward_demodulation,[],[f603,f3]) ).
fof(f632,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,rd(X0,X0))),X2) = ld(X0,mult(mult(X0,X1),mult(ld(X0,rd(X0,X0)),X2))),
inference(forward_demodulation,[],[f619,f2]) ).
fof(f634,plain,
! [X2,X0,X1] : mult(rd(X0,mult(X1,X0)),mult(X1,X2)) = X2,
inference(forward_demodulation,[],[f621,f2]) ).
fof(f637,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,rd(X0,X0))),X2) = ld(X0,mult(mult(X0,X1),ld(X0,mult(X0,ld(X0,X2))))),
inference(forward_demodulation,[],[f632,f313]) ).
fof(f640,plain,
! [X2,X0,X1] : mult(mult(X1,ld(X0,rd(X0,X0))),X2) = ld(X0,mult(mult(X0,X1),ld(X0,X2))),
inference(forward_demodulation,[],[f637,f2]) ).
fof(f650,plain,
! [X0,X1] : mult(X0,rd(ld(X0,X1),X1)) = rd(X0,X0),
inference(superposition,[],[f1,f587]) ).
fof(f658,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = mult(mult(X0,ld(X0,rd(X0,X0))),X0),
inference(superposition,[],[f117,f587]) ).
fof(f673,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = ld(X0,mult(mult(X0,X0),ld(X0,X0))),
inference(forward_demodulation,[],[f658,f640]) ).
fof(f680,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = ld(X0,mult(X0,mult(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f673,f36]) ).
fof(f686,plain,
! [X0,X1] : rd(X1,ld(X0,X1)) = mult(ld(X0,X0),X0),
inference(forward_demodulation,[],[f680,f2]) ).
fof(f689,plain,
! [X0] : mult(ld(X0,X0),X0) = X0,
inference(forward_demodulation,[],[f686,f26]) ).
fof(f691,plain,
! [X0] : ld(ld(X0,X0),X0) = X0,
inference(superposition,[],[f2,f689]) ).
fof(f692,plain,
! [X0] : rd(X0,X0) = ld(X0,X0),
inference(superposition,[],[f4,f689]) ).
fof(f750,plain,
! [X0] : rd(ld(x1,sF0),ld(x1,sF0)) = ld(x1,rd(X0,mult(ld(x1,sF0),X0))),
inference(superposition,[],[f437,f599]) ).
fof(f761,plain,
! [X0] : rd(ld(x1,sF0),ld(x1,sF0)) = ld(x1,rd(X0,ld(x1,X0))),
inference(forward_demodulation,[],[f750,f437]) ).
fof(f794,plain,
rd(ld(x1,sF0),ld(x1,sF0)) = ld(x1,x1),
inference(forward_demodulation,[],[f761,f26]) ).
fof(f807,plain,
ld(x1,x1) = ld(ld(x1,sF0),ld(x1,sF0)),
inference(forward_demodulation,[],[f794,f692]) ).
fof(f812,plain,
mult(x1,ld(x1,sF0)) = ld(x1,x1),
inference(forward_demodulation,[],[f807,f425]) ).
fof(f816,plain,
sF0 = ld(x1,x1),
inference(forward_demodulation,[],[f812,f1]) ).
fof(f851,plain,
! [X2,X0,X1] : rd(X2,X0) = rd(X1,mult(rd(X0,X2),X1)),
inference(superposition,[],[f586,f3]) ).
fof(f921,plain,
! [X2,X0,X1] : rd(X1,X2) = rd(ld(rd(X2,X1),X0),X0),
inference(superposition,[],[f851,f1]) ).
fof(f934,plain,
! [X2,X0,X1] : mult(rd(X1,X0),X2) = ld(rd(X0,X1),X2),
inference(superposition,[],[f24,f851]) ).
fof(f1002,plain,
! [X2,X0,X1] : ld(rd(X0,X1),ld(rd(X1,X0),X2)) = X2,
inference(superposition,[],[f24,f921]) ).
fof(f1041,plain,
! [X2,X0,X1] : mult(X0,X2) = ld(rd(ld(X0,X1),X1),X2),
inference(superposition,[],[f934,f26]) ).
fof(f1056,plain,
! [X0] : mult(sF0,X0) = ld(sF0,X0),
inference(superposition,[],[f934,f9]) ).
fof(f1163,plain,
sF1 = ld(sF0,x0),
inference(superposition,[],[f11,f1056]) ).
fof(f1175,plain,
! [X0,X1] : mult(mult(sF0,rd(X0,X1)),sF0) = rd(ld(sF0,X0),ld(sF0,X1)),
inference(superposition,[],[f97,f1056]) ).
fof(f1177,plain,
! [X0,X1] : ld(sF0,rd(X1,sF0)) = rd(ld(sF0,mult(X1,X0)),ld(sF0,X0)),
inference(superposition,[],[f348,f1056]) ).
fof(f1182,plain,
! [X0] : ld(sF0,ld(sF0,X0)) = X0,
inference(superposition,[],[f1,f1056]) ).
fof(f1185,plain,
! [X0,X1] : mult(mult(sF0,X0),sF0) = rd(ld(sF0,mult(X0,X1)),ld(sF0,X1)),
inference(superposition,[],[f68,f1056]) ).
fof(f1196,plain,
! [X0,X1] : mult(ld(sF0,X0),sF0) = rd(ld(sF0,mult(X0,X1)),ld(sF0,X1)),
inference(forward_demodulation,[],[f1185,f1056]) ).
fof(f1204,plain,
! [X0,X1] : rd(ld(sF0,X0),ld(sF0,X1)) = mult(ld(sF0,rd(X0,X1)),sF0),
inference(forward_demodulation,[],[f1175,f1056]) ).
fof(f1217,plain,
! [X0] : ld(sF0,rd(X0,sF0)) = mult(ld(sF0,X0),sF0),
inference(forward_demodulation,[],[f1196,f1177]) ).
fof(f1278,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X1),X1),mult(ld(rd(ld(X0,X1),X1),X0),X2)) = mult(rd(X0,X0),ld(rd(ld(X0,X1),X1),X2)),
inference(superposition,[],[f36,f650]) ).
fof(f1279,plain,
! [X2,X0,X1] : mult(ld(X0,X1),rd(X0,X0)) = ld(X0,mult(mult(X1,X0),rd(ld(X0,X2),X2))),
inference(superposition,[],[f43,f650]) ).
fof(f1317,plain,
! [X2,X0,X1] : mult(ld(X0,X1),ld(X0,X0)) = ld(X0,mult(mult(X1,X0),rd(ld(X0,X2),X2))),
inference(forward_demodulation,[],[f1279,f692]) ).
fof(f1318,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X1),X1),mult(ld(rd(ld(X0,X1),X1),X0),X2)) = ld(rd(X0,X0),ld(rd(ld(X0,X1),X1),X2)),
inference(forward_demodulation,[],[f1278,f934]) ).
fof(f1337,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X1),X1),mult(ld(rd(ld(X0,X1),X1),X0),X2)) = ld(rd(X0,X0),mult(X0,X2)),
inference(forward_demodulation,[],[f1318,f1041]) ).
fof(f1345,plain,
! [X2,X0,X1] : mult(rd(ld(X0,X1),X1),mult(ld(rd(ld(X0,X1),X1),X0),X2)) = ld(ld(X0,X0),mult(X0,X2)),
inference(forward_demodulation,[],[f1337,f692]) ).
fof(f1349,plain,
! [X2,X0,X1] : ld(ld(X0,X0),mult(X0,X2)) = ld(rd(X1,ld(X0,X1)),mult(ld(rd(ld(X0,X1),X1),X0),X2)),
inference(forward_demodulation,[],[f1345,f934]) ).
fof(f1352,plain,
! [X2,X0,X1] : ld(ld(X0,X0),mult(X0,X2)) = ld(rd(X1,ld(X0,X1)),mult(mult(X0,X0),X2)),
inference(forward_demodulation,[],[f1349,f1041]) ).
fof(f1354,plain,
! [X2,X0] : ld(ld(X0,X0),mult(X0,X2)) = ld(X0,mult(mult(X0,X0),X2)),
inference(forward_demodulation,[],[f1352,f26]) ).
fof(f1357,plain,
! [X0,X1] : rd(X1,mult(X0,X1)) = ld(X0,ld(X0,X0)),
inference(superposition,[],[f529,f692]) ).
fof(f1363,plain,
! [X0] : mult(ld(X0,X0),mult(X0,X0)) = mult(mult(X0,ld(X0,X0)),X0),
inference(superposition,[],[f149,f692]) ).
fof(f1367,plain,
! [X0,X1] : mult(ld(X0,X0),X1) = ld(ld(X0,X0),X1),
inference(superposition,[],[f934,f692]) ).
fof(f1371,plain,
! [X0] : mult(X0,X0) = mult(ld(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f1363,f1]) ).
fof(f1374,plain,
! [X0] : mult(X0,X0) = ld(X0,mult(mult(X0,X0),X0)),
inference(forward_demodulation,[],[f1371,f43]) ).
fof(f1411,plain,
! [X2,X0,X1] : mult(rd(X2,mult(mult(X0,rd(X0,X1)),X2)),mult(rd(X0,X1),mult(X1,X0))) = X1,
inference(superposition,[],[f634,f149]) ).
fof(f1475,plain,
! [X2,X0,X1] : ld(rd(mult(mult(X0,rd(X0,X1)),X2),X2),mult(rd(X0,X1),mult(X1,X0))) = X1,
inference(forward_demodulation,[],[f1411,f934]) ).
fof(f1530,plain,
! [X2,X0,X1] : ld(rd(mult(mult(X0,rd(X0,X1)),X2),X2),ld(rd(X1,X0),mult(X1,X0))) = X1,
inference(forward_demodulation,[],[f1475,f934]) ).
fof(f1565,plain,
! [X0,X1] : ld(mult(X0,rd(X0,X1)),ld(rd(X1,X0),mult(X1,X0))) = X1,
inference(forward_demodulation,[],[f1530,f4]) ).
fof(f1672,plain,
x1 = rd(x1,sF0),
inference(superposition,[],[f26,f816]) ).
fof(f1691,plain,
! [X0] : mult(x1,ld(sF0,X0)) = mult(sF0,mult(ld(sF0,x1),X0)),
inference(superposition,[],[f223,f1672]) ).
fof(f1698,plain,
! [X0] : mult(x1,ld(sF0,X0)) = ld(sF0,mult(ld(sF0,x1),X0)),
inference(forward_demodulation,[],[f1691,f1056]) ).
fof(f1702,plain,
! [X0] : ld(sF0,mult(x1,X0)) = mult(x1,ld(sF0,X0)),
inference(forward_demodulation,[],[f1698,f31]) ).
fof(f2278,plain,
! [X0] : ld(X0,X0) = rd(mult(X0,X0),mult(X0,X0)),
inference(superposition,[],[f61,f1374]) ).
fof(f2301,plain,
! [X0] : ld(X0,X0) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f2278,f692]) ).
fof(f2381,plain,
! [X0] : ld(sF0,rd(rd(x0,X0),sF0)) = rd(sF1,mult(sF0,X0)),
inference(superposition,[],[f525,f1163]) ).
fof(f2502,plain,
! [X0] : rd(sF1,ld(sF0,X0)) = ld(sF0,rd(rd(x0,X0),sF0)),
inference(forward_demodulation,[],[f2381,f1056]) ).
fof(f2552,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X0),X1)) = ld(ld(X0,X0),mult(mult(X0,ld(X0,X0)),X1)),
inference(superposition,[],[f43,f691]) ).
fof(f2571,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X0),X1)) = ld(ld(X0,X0),mult(X0,X1)),
inference(forward_demodulation,[],[f2552,f1]) ).
fof(f2578,plain,
! [X0,X1] : mult(X0,mult(ld(X0,X0),X1)) = ld(X0,mult(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f2571,f1354]) ).
fof(f2582,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X0),X1)) = mult(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f2578,f1367]) ).
fof(f2741,plain,
! [X0,X1] : mult(X0,X1) = ld(ld(X0,ld(X0,X0)),X1),
inference(superposition,[],[f24,f1357]) ).
fof(f2750,plain,
! [X2,X0,X1] : ld(rd(mult(X0,X1),X1),X2) = mult(ld(X0,ld(X0,X0)),X2),
inference(superposition,[],[f934,f1357]) ).
fof(f2774,plain,
! [X2,X0] : ld(X0,X2) = mult(ld(X0,ld(X0,X0)),X2),
inference(forward_demodulation,[],[f2750,f4]) ).
fof(f3070,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,ld(X0,X0))),X1) = mult(ld(X0,ld(X0,X0)),mult(ld(ld(X0,ld(X0,X0)),X2),ld(X0,X1))),
inference(superposition,[],[f14,f2774]) ).
fof(f3073,plain,
! [X2,X0,X1] : mult(ld(ld(X0,ld(X0,X0)),X2),ld(X0,X1)) = ld(ld(X0,ld(X0,X0)),mult(mult(X2,ld(X0,ld(X0,X0))),X1)),
inference(superposition,[],[f43,f2774]) ).
fof(f3094,plain,
! [X2,X0,X1] : mult(mult(ld(X0,ld(X0,X0)),X1),ld(X0,ld(X0,X0))) = rd(ld(X0,mult(X1,mult(ld(X0,ld(X0,X0)),X2))),X2),
inference(superposition,[],[f27,f2774]) ).
fof(f3109,plain,
! [X2,X0,X1] : rd(ld(X0,mult(X1,ld(X0,X2))),X2) = mult(mult(ld(X0,ld(X0,X0)),X1),ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f3094,f2774]) ).
fof(f3129,plain,
! [X2,X0,X1] : mult(ld(ld(X0,ld(X0,X0)),X2),ld(X0,X1)) = mult(X0,mult(mult(X2,ld(X0,ld(X0,X0))),X1)),
inference(forward_demodulation,[],[f3073,f2741]) ).
fof(f3131,plain,
! [X2,X0,X1] : mult(mult(X2,ld(X0,ld(X0,X0))),X1) = ld(X0,mult(ld(ld(X0,ld(X0,X0)),X2),ld(X0,X1))),
inference(forward_demodulation,[],[f3070,f2774]) ).
fof(f3151,plain,
! [X2,X0,X1] : rd(ld(X0,mult(X1,ld(X0,X2))),X2) = mult(ld(X0,X1),ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f3109,f2774]) ).
fof(f3166,plain,
! [X2,X0,X1] : mult(mult(X0,X2),ld(X0,X1)) = mult(X0,mult(mult(X2,ld(X0,ld(X0,X0))),X1)),
inference(forward_demodulation,[],[f3129,f2741]) ).
fof(f3168,plain,
! [X2,X0,X1] : ld(X0,mult(mult(X0,X2),ld(X0,X1))) = mult(mult(X2,ld(X0,ld(X0,X0))),X1),
inference(forward_demodulation,[],[f3131,f2741]) ).
fof(f3178,plain,
! [X0,X1] : ld(X0,rd(X1,X0)) = mult(ld(X0,X1),ld(X0,ld(X0,X0))),
inference(forward_demodulation,[],[f3151,f531]) ).
fof(f3807,plain,
! [X0] : rd(x1,x1) = mult(x1,rd(ld(sF0,X0),ld(sF0,mult(x1,X0)))),
inference(superposition,[],[f599,f1702]) ).
fof(f3820,plain,
! [X0] : rd(x1,x1) = mult(x1,mult(ld(sF0,rd(X0,mult(x1,X0))),sF0)),
inference(forward_demodulation,[],[f3807,f1204]) ).
fof(f3843,plain,
! [X0] : rd(x1,x1) = mult(x1,ld(sF0,rd(rd(X0,mult(x1,X0)),sF0))),
inference(forward_demodulation,[],[f3820,f1217]) ).
fof(f3862,plain,
! [X0] : rd(x1,x1) = ld(sF0,mult(x1,rd(rd(X0,mult(x1,X0)),sF0))),
inference(forward_demodulation,[],[f3843,f1702]) ).
fof(f3876,plain,
rd(x1,x1) = ld(sF0,mult(x1,rd(ld(x1,sF0),sF0))),
inference(forward_demodulation,[],[f3862,f398]) ).
fof(f3884,plain,
rd(x1,x1) = ld(sF0,rd(x1,x1)),
inference(forward_demodulation,[],[f3876,f650]) ).
fof(f3890,plain,
sF0 = ld(sF0,sF0),
inference(forward_demodulation,[],[f3884,f9]) ).
fof(f4840,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = mult(mult(X0,X0),rd(ld(X0,X0),mult(X0,X0))),
inference(superposition,[],[f650,f2301]) ).
fof(f4845,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = mult(mult(X0,X0),ld(X0,rd(rd(X0,X0),X0))),
inference(forward_demodulation,[],[f4840,f525]) ).
fof(f4863,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = mult(X0,mult(ld(X0,X0),rd(rd(X0,X0),X0))),
inference(forward_demodulation,[],[f4845,f36]) ).
fof(f4874,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = mult(X0,ld(ld(X0,X0),rd(rd(X0,X0),X0))),
inference(forward_demodulation,[],[f4863,f1367]) ).
fof(f4882,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = ld(X0,mult(mult(X0,X0),rd(rd(X0,X0),X0))),
inference(forward_demodulation,[],[f4874,f2582]) ).
fof(f4887,plain,
! [X0] : rd(mult(X0,X0),mult(X0,X0)) = ld(X0,mult(mult(X0,X0),rd(ld(X0,X0),X0))),
inference(forward_demodulation,[],[f4882,f692]) ).
fof(f4890,plain,
! [X0] : mult(ld(X0,X0),ld(X0,X0)) = rd(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f4887,f1317]) ).
fof(f4891,plain,
! [X0] : mult(ld(X0,X0),ld(X0,X0)) = ld(mult(X0,X0),mult(X0,X0)),
inference(forward_demodulation,[],[f4890,f692]) ).
fof(f4892,plain,
! [X0] : ld(X0,X0) = mult(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4891,f2301]) ).
fof(f4893,plain,
! [X0] : ld(X0,X0) = ld(ld(X0,X0),ld(X0,X0)),
inference(forward_demodulation,[],[f4892,f1367]) ).
fof(f4993,plain,
! [X2,X0,X1] : mult(X0,rd(X1,mult(X0,X2))) = rd(rd(mult(X0,X1),X2),X0),
inference(superposition,[],[f4,f77]) ).
fof(f11456,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X2,X1),X0)) = ld(ld(X1,X2),ld(X1,X0)),
inference(superposition,[],[f62,f1]) ).
fof(f11724,plain,
! [X2,X0,X1] : mult(X1,ld(X0,X2)) = ld(ld(X1,rd(X0,X1)),ld(X1,X2)),
inference(superposition,[],[f11456,f3]) ).
fof(f14990,plain,
! [X0] : rd(rd(sF1,X0),sF0) = mult(sF0,rd(x0,mult(sF0,X0))),
inference(superposition,[],[f4993,f11]) ).
fof(f15082,plain,
! [X0] : rd(rd(sF1,X0),sF0) = ld(sF0,rd(x0,mult(sF0,X0))),
inference(forward_demodulation,[],[f14990,f1056]) ).
fof(f15135,plain,
! [X0] : rd(rd(sF1,X0),sF0) = ld(sF0,rd(x0,ld(sF0,X0))),
inference(forward_demodulation,[],[f15082,f1056]) ).
fof(f17639,plain,
rd(rd(sF1,sF1),sF0) = ld(sF0,rd(x0,x0)),
inference(superposition,[],[f15135,f25]) ).
fof(f17704,plain,
rd(rd(sF1,sF1),sF0) = ld(sF0,ld(x0,x0)),
inference(forward_demodulation,[],[f17639,f692]) ).
fof(f17732,plain,
ld(sF0,ld(x0,x0)) = rd(ld(sF1,sF1),sF0),
inference(forward_demodulation,[],[f17704,f692]) ).
fof(f22415,plain,
rd(sF1,ld(sF0,x0)) = ld(sF0,rd(ld(x0,x0),sF0)),
inference(superposition,[],[f2502,f692]) ).
fof(f22514,plain,
rd(sF1,sF1) = ld(sF0,rd(ld(x0,x0),sF0)),
inference(forward_demodulation,[],[f22415,f1163]) ).
fof(f22545,plain,
ld(sF1,sF1) = ld(sF0,rd(ld(x0,x0),sF0)),
inference(forward_demodulation,[],[f22514,f692]) ).
fof(f23402,plain,
! [X0] : mult(sF0,ld(ld(x0,x0),X0)) = ld(ld(sF1,sF1),ld(sF0,X0)),
inference(superposition,[],[f11724,f22545]) ).
fof(f23464,plain,
! [X0] : ld(ld(sF1,sF1),ld(sF0,X0)) = ld(sF0,ld(ld(x0,x0),X0)),
inference(forward_demodulation,[],[f23402,f1056]) ).
fof(f24597,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X0)),mult(mult(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))),X1)) = ld(X0,ld(ld(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))),X1)),
inference(superposition,[],[f2774,f2582]) ).
fof(f24633,plain,
! [X0,X1] : ld(ld(X0,ld(X0,X0)),mult(mult(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))),X1)) = ld(X0,ld(mult(X0,ld(X0,ld(X0,X0))),X1)),
inference(forward_demodulation,[],[f24597,f2741]) ).
fof(f24727,plain,
! [X0,X1] : ld(X0,ld(ld(X0,X0),X1)) = ld(ld(X0,ld(X0,X0)),mult(mult(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))),X1)),
inference(forward_demodulation,[],[f24633,f1]) ).
fof(f24805,plain,
! [X0,X1] : ld(X0,ld(ld(X0,X0),X1)) = mult(X0,mult(mult(ld(X0,ld(X0,X0)),ld(X0,ld(X0,X0))),X1)),
inference(forward_demodulation,[],[f24727,f2741]) ).
fof(f24865,plain,
! [X0,X1] : ld(X0,ld(ld(X0,X0),X1)) = mult(mult(X0,ld(X0,ld(X0,X0))),ld(X0,X1)),
inference(forward_demodulation,[],[f24805,f3166]) ).
fof(f24897,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X0),ld(X0,ld(X0,X1)))) = ld(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f24865,f3168]) ).
fof(f24924,plain,
! [X0,X1] : ld(X0,mult(X0,mult(ld(X0,X0),ld(X0,X1)))) = ld(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f24897,f36]) ).
fof(f24944,plain,
! [X0,X1] : mult(ld(X0,X0),ld(X0,X1)) = ld(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f24924,f2]) ).
fof(f24959,plain,
! [X0,X1] : ld(ld(X0,X0),ld(X0,X1)) = ld(X0,ld(ld(X0,X0),X1)),
inference(forward_demodulation,[],[f24944,f1367]) ).
fof(f29945,plain,
! [X0] : ld(ld(sF0,ld(x0,x0)),ld(rd(sF0,ld(sF1,sF1)),X0)) = X0,
inference(superposition,[],[f1002,f17732]) ).
fof(f42204,plain,
sF0 = ld(mult(ld(sF1,sF1),ld(sF0,ld(x0,x0))),ld(rd(sF0,ld(sF1,sF1)),mult(sF0,ld(sF1,sF1)))),
inference(superposition,[],[f1565,f17732]) ).
fof(f42603,plain,
sF0 = ld(mult(ld(sF1,sF1),ld(sF0,ld(x0,x0))),ld(rd(sF0,ld(sF1,sF1)),ld(sF0,ld(sF1,sF1)))),
inference(forward_demodulation,[],[f42204,f1056]) ).
fof(f42807,plain,
sF0 = ld(ld(ld(sF1,sF1),ld(sF0,ld(x0,x0))),ld(rd(sF0,ld(sF1,sF1)),ld(sF0,ld(sF1,sF1)))),
inference(forward_demodulation,[],[f42603,f1367]) ).
fof(f42975,plain,
sF0 = ld(ld(sF0,ld(ld(x0,x0),ld(x0,x0))),ld(rd(sF0,ld(sF1,sF1)),ld(sF0,ld(sF1,sF1)))),
inference(forward_demodulation,[],[f42807,f23464]) ).
fof(f43086,plain,
sF0 = ld(ld(sF0,ld(x0,x0)),ld(rd(sF0,ld(sF1,sF1)),ld(sF0,ld(sF1,sF1)))),
inference(forward_demodulation,[],[f42975,f4893]) ).
fof(f43171,plain,
sF0 = ld(sF0,ld(sF1,sF1)),
inference(forward_demodulation,[],[f43086,f29945]) ).
fof(f43366,plain,
ld(sF0,rd(ld(sF1,sF1),sF0)) = mult(sF0,ld(sF0,ld(sF0,sF0))),
inference(superposition,[],[f3178,f43171]) ).
fof(f43385,plain,
ld(sF0,sF0) = ld(sF0,rd(ld(sF1,sF1),sF0)),
inference(forward_demodulation,[],[f43366,f1]) ).
fof(f43422,plain,
ld(sF0,sF0) = ld(sF0,ld(sF0,ld(x0,x0))),
inference(forward_demodulation,[],[f43385,f17732]) ).
fof(f43451,plain,
ld(sF0,sF0) = ld(x0,x0),
inference(forward_demodulation,[],[f43422,f1182]) ).
fof(f43471,plain,
sF0 = ld(x0,x0),
inference(forward_demodulation,[],[f43451,f3890]) ).
fof(f43519,plain,
x0 = mult(x0,sF0),
inference(superposition,[],[f1,f43471]) ).
fof(f43550,plain,
ld(sF0,sF0) = ld(x0,ld(sF0,x0)),
inference(superposition,[],[f24959,f43471]) ).
fof(f43553,plain,
ld(sF0,sF0) = ld(x0,sF1),
inference(forward_demodulation,[],[f43550,f1163]) ).
fof(f43576,plain,
sF0 = ld(x0,sF1),
inference(forward_demodulation,[],[f43553,f3890]) ).
fof(f44053,plain,
sF1 = mult(x0,sF0),
inference(superposition,[],[f1,f43576]) ).
fof(f44111,plain,
x0 = sF1,
inference(forward_demodulation,[],[f44053,f43519]) ).
fof(f44128,plain,
$false,
inference(forward_subsumption_resolution,[],[f44111,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP654-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n017.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 10:26:50 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 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
% 28.44/4.97 % (2343991)Detected a unit-equality problem, will run specialized UEQ schedule.
% 28.44/4.97 % (2343999)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1296810538:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 28.44/4.97 % (2343996)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=1135454313:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 28.44/4.97 % (2343997)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=2054417018:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 28.44/4.97 % (2343998)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1175985583:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 28.44/4.97 % (2344001)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=78190002:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 28.44/4.97 % (2344000)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1696695155:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 28.44/4.97 % (2344002)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1375073557:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 28.44/4.97 % (2343999)Instruction limit reached!
% 28.44/4.97 % (2343999)------------------------------
% 28.44/4.97 % (2343999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2343999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2343999)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2343999)Termination reason: Instruction limit
% 28.44/4.97 % (2343999)Termination phase: Saturation
% 28.44/4.97 % (2343999)Time elapsed: 0.037 s
% 28.44/4.97 % (2343999)Peak memory usage: 89 MB
% 28.44/4.97 % (2343999)Instructions burned: 138 (million)
% 28.44/4.97 % (2344010)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=516129394:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 28.44/4.97 % (2344000)Instruction limit reached!
% 28.44/4.97 % (2344000)------------------------------
% 28.44/4.97 % (2344000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344000)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344000)Termination reason: Instruction limit
% 28.44/4.97 % (2344000)Termination phase: Saturation
% 28.44/4.97 % (2344000)Time elapsed: 0.105 s
% 28.44/4.97 % (2344000)Peak memory usage: 89 MB
% 28.44/4.97 % (2344000)Instructions burned: 182 (million)
% 28.44/4.97 % (2344001)Instruction limit reached!
% 28.44/4.97 % (2344001)------------------------------
% 28.44/4.97 % (2344001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344001)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344001)Termination reason: Instruction limit
% 28.44/4.97 % (2344001)Termination phase: Saturation
% 28.44/4.97 % (2344001)Time elapsed: 0.124 s
% 28.44/4.97 % (2344001)Peak memory usage: 90 MB
% 28.44/4.97 % (2344001)Instructions burned: 257 (million)
% 28.44/4.97 % (2344012)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4133697492:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 28.44/4.97 % (2344013)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2313407038:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 28.44/4.97 % (2344013)Instruction limit reached!
% 28.44/4.97 % (2344013)------------------------------
% 28.44/4.97 % (2344013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344013)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344013)Termination reason: Instruction limit
% 28.44/4.97 % (2344013)Termination phase: Saturation
% 28.44/4.97 % (2344013)Time elapsed: 0.117 s
% 28.44/4.97 % (2344013)Peak memory usage: 90 MB
% 28.44/4.97 % (2344013)Instructions burned: 217 (million)
% 28.44/4.97 % (2344016)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=2944180280: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)
% 28.44/4.97 % (2344002)Instruction limit reached!
% 28.44/4.97 % (2344002)------------------------------
% 28.44/4.97 % (2344002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344002)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344002)Termination reason: Instruction limit
% 28.44/4.97 % (2344002)Termination phase: Saturation
% 28.44/4.97 % (2344002)Time elapsed: 0.649 s
% 28.44/4.97 % (2344002)Peak memory usage: 102 MB
% 28.44/4.97 % (2344002)Instructions burned: 1187 (million)
% 28.44/4.97 % (2344016)Instruction limit reached!
% 28.44/4.97 % (2344016)------------------------------
% 28.44/4.97 % (2344016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344016)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344016)Termination reason: Instruction limit
% 28.44/4.97 % (2344016)Termination phase: Saturation
% 28.44/4.97 % (2344016)Time elapsed: 0.184 s
% 28.44/4.97 % (2344016)Peak memory usage: 93 MB
% 28.44/4.97 % (2344016)Instructions burned: 317 (million)
% 28.44/4.97 % (2344018)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=25705228:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 28.44/4.97 % (2344019)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3451780661:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 28.44/4.97 % (2344010)Instruction limit reached!
% 28.44/4.97 % (2344010)------------------------------
% 28.44/4.97 % (2344010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344010)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344010)Termination reason: Instruction limit
% 28.44/4.97 % (2344010)Termination phase: Saturation
% 28.44/4.97 % (2344010)Time elapsed: 0.719 s
% 28.44/4.97 % (2344010)Peak memory usage: 140 MB
% 28.44/4.97 % (2344010)Instructions burned: 2051 (million)
% 28.44/4.97 % (2344022)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=794023575:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 28.44/4.97 % (2344019)Instruction limit reached!
% 28.44/4.97 % (2344019)------------------------------
% 28.44/4.97 % (2344019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344019)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344019)Termination reason: Instruction limit
% 28.44/4.97 % (2344019)Termination phase: Saturation
% 28.44/4.97 % (2344019)Time elapsed: 1.796 s
% 28.44/4.97 % (2344019)Peak memory usage: 132 MB
% 28.44/4.97 % (2344019)Instructions burned: 2836 (million)
% 28.44/4.97 % (2344024)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=4223019646:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2972 on theBenchmark for (2972ds/11832Mi)
% 28.44/4.97 % (2344012)Instruction limit reached!
% 28.44/4.97 % (2344012)------------------------------
% 28.44/4.97 % (2344012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.44/4.97 % (2344012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.44/4.97 % (2344012)CaDiCaL version: 2.1.3
% 28.44/4.97 % (2344012)Termination reason: Instruction limit
% 28.44/4.97 % (2344012)Termination phase: Saturation
% 28.44/4.97 % (2344012)Time elapsed: 3.005 s
% 28.44/4.97 % (2344012)Peak memory usage: 165 MB
% 28.44/4.97 % (2344012)Instructions burned: 4948 (million)
% 28.44/4.97 % (2344026)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=4006492346:i=2279:fgj=on:bd=all_2965 on theBenchmark for (2965ds/2279Mi)
% 28.44/4.97 % (2344018)First to succeed.
% 28.44/4.97 % (2344018)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2343991"
% 28.44/4.97 % (2344018)Refutation found. Thanks to Tanya!
% 28.44/4.97 % SZS status Unsatisfiable for theBenchmark
% 28.44/4.97 % SZS output start Proof for theBenchmark
% See solution above
% 29.71/5.17 % (2344018)------------------------------
% 29.71/5.17 % (2344018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.71/5.17 % (2344018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.71/5.17 % (2344018)CaDiCaL version: 2.1.3
% 29.71/5.17 % (2344018)Termination reason: Refutation
% 29.71/5.17 % (2344018)Time elapsed: 2.888 s
% 29.71/5.17 % (2344018)Peak memory usage: 165 MB
% 29.71/5.17 % (2344018)Instructions burned: 4668 (million)
% 29.71/5.17 % (2344018)------------------------------
% 29.71/5.17 % (2344018)------------------------------
% 29.71/5.17 % (2343991)Success in time 4.102 s
% 29.71/5.17 % Vampire exiting
%------------------------------------------------------------------------------