%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP663-1 : 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 10:15:30 AM UTC 2026
% Result : Unsatisfiable 113.72s 16.89s
% Output : Refutation 114.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 10
% Syntax : Number of formulae : 163 ( 163 unt; 0 def)
% Number of atoms : 163 ( 162 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 286 ( 286 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
fof(f2,axiom,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
fof(f3,axiom,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
fof(f4,axiom,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
fof(f5,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
fof(f6,axiom,
! [X0] : mult(unit,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
fof(f7,axiom,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(rd(mult(X0,X1),X0),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
fof(f8,axiom,
! [X2,X0,X1] : mult(mult(X0,X1),X2) = mult(mult(X0,X2),ld(X2,mult(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
fof(f9,axiom,
mult(op_c,op_d) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
fof(f10,plain,
unit = mult(op_c,op_d),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
mult(mult(a,b),mult(op_d,op_c)) != mult(a,mult(b,mult(op_d,op_c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f14,plain,
! [X0] : mult(op_c,mult(X0,op_d)) = mult(rd(mult(op_c,X0),op_c),unit),
inference(superposition,[],[f7,f10]) ).
fof(f16,plain,
! [X0] : mult(op_c,mult(X0,op_d)) = rd(mult(op_c,X0),op_c),
inference(forward_demodulation,[],[f14,f5]) ).
fof(f26,plain,
! [X0] : mult(mult(op_c,X0),op_d) = mult(unit,ld(op_d,mult(X0,op_d))),
inference(superposition,[],[f8,f10]) ).
fof(f34,plain,
! [X0] : mult(mult(op_c,X0),op_d) = ld(op_d,mult(X0,op_d)),
inference(forward_demodulation,[],[f26,f6]) ).
fof(f36,plain,
! [X2,X0,X1] : ld(X2,mult(X1,X2)) = ld(mult(X0,X2),mult(mult(X0,X1),X2)),
inference(superposition,[],[f2,f8]) ).
fof(f40,plain,
! [X0] : unit = ld(X0,X0),
inference(superposition,[],[f2,f5]) ).
fof(f55,plain,
! [X2,X0,X1] : mult(X1,mult(X2,ld(X1,X0))) = mult(rd(mult(X1,X2),X1),X0),
inference(superposition,[],[f7,f1]) ).
fof(f56,plain,
! [X2,X0,X1] : mult(X1,mult(ld(X1,X0),X2)) = mult(rd(X0,X1),mult(X1,X2)),
inference(superposition,[],[f7,f1]) ).
fof(f76,plain,
! [X2,X0,X1] : ld(X1,mult(ld(X2,X0),X1)) = ld(mult(X2,X1),mult(X0,X1)),
inference(superposition,[],[f36,f1]) ).
fof(f119,plain,
! [X2,X0,X1] : mult(mult(X1,X2),ld(X2,X0)) = mult(mult(X1,rd(X0,X2)),X2),
inference(superposition,[],[f8,f3]) ).
fof(f121,plain,
! [X0] : rd(X0,unit) = X0,
inference(superposition,[],[f5,f3]) ).
fof(f125,plain,
rd(unit,op_c) = mult(op_c,mult(op_d,op_d)),
inference(superposition,[],[f16,f10]) ).
fof(f127,plain,
! [X0] : mult(op_c,mult(ld(op_c,X0),op_d)) = rd(X0,op_c),
inference(superposition,[],[f16,f1]) ).
fof(f132,plain,
! [X0,X1] : rd(X0,ld(X1,X0)) = X1,
inference(superposition,[],[f4,f1]) ).
fof(f133,plain,
! [X2,X0,X1] : mult(X0,X2) = rd(mult(mult(X0,X1),X2),ld(X2,mult(X1,X2))),
inference(superposition,[],[f4,f8]) ).
fof(f135,plain,
! [X0] : unit = rd(X0,X0),
inference(superposition,[],[f4,f6]) ).
fof(f147,plain,
! [X2,X0,X1] : mult(X0,rd(X2,X1)) = rd(mult(mult(X0,X1),ld(X1,X2)),X1),
inference(superposition,[],[f4,f119]) ).
fof(f161,plain,
! [X2,X0,X1] : mult(X0,mult(X1,X2)) = mult(X1,mult(ld(X1,mult(X0,X1)),X2)),
inference(superposition,[],[f56,f4]) ).
fof(f243,plain,
! [X2,X0,X1] : mult(rd(X0,X1),X2) = rd(mult(X0,X2),ld(X2,mult(X1,X2))),
inference(superposition,[],[f133,f3]) ).
fof(f381,plain,
! [X2,X0,X1] : mult(ld(X1,mult(X0,X1)),X2) = ld(X1,mult(X0,mult(X1,X2))),
inference(superposition,[],[f2,f161]) ).
fof(f421,plain,
! [X2,X0,X1] : mult(rd(X1,rd(X0,X2)),X2) = rd(mult(X1,X2),ld(X2,X0)),
inference(superposition,[],[f243,f3]) ).
fof(f507,plain,
! [X2,X0,X1] : ld(X1,mult(ld(X2,rd(X0,X1)),X1)) = ld(mult(X2,X1),X0),
inference(superposition,[],[f76,f3]) ).
fof(f581,plain,
! [X2,X0,X1] : rd(mult(X0,X1),X0) = rd(mult(X0,mult(X1,ld(X0,X2))),X2),
inference(superposition,[],[f4,f55]) ).
fof(f591,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = mult(X0,mult(X1,ld(X0,unit))),
inference(superposition,[],[f5,f55]) ).
fof(f671,plain,
! [X0,X1] : mult(X0,mult(op_d,X1)) = mult(op_d,mult(mult(mult(op_c,X0),op_d),X1)),
inference(superposition,[],[f161,f34]) ).
fof(f675,plain,
! [X0] : mult(X0,op_d) = mult(op_d,mult(mult(op_c,X0),op_d)),
inference(superposition,[],[f1,f34]) ).
fof(f686,plain,
! [X0] : mult(ld(op_c,X0),op_d) = mult(op_d,mult(X0,op_d)),
inference(superposition,[],[f675,f1]) ).
fof(f703,plain,
! [X0] : rd(X0,op_c) = mult(op_c,mult(op_d,mult(X0,op_d))),
inference(backward_demodulation,[],[f127,f686]) ).
fof(f717,plain,
! [X0] : mult(op_c,mult(op_d,X0)) = rd(rd(X0,op_d),op_c),
inference(superposition,[],[f703,f3]) ).
fof(f747,plain,
! [X0] : rd(X0,op_d) = mult(mult(op_c,mult(op_d,X0)),op_c),
inference(superposition,[],[f3,f717]) ).
fof(f756,plain,
! [X0,X1] : mult(mult(X1,ld(op_c,X0)),op_d) = mult(mult(X1,op_d),ld(op_d,mult(op_d,mult(X0,op_d)))),
inference(superposition,[],[f8,f686]) ).
fof(f762,plain,
! [X0,X1] : mult(ld(op_c,X0),mult(op_d,X1)) = mult(op_d,mult(ld(op_d,mult(op_d,mult(X0,op_d))),X1)),
inference(superposition,[],[f161,f686]) ).
fof(f763,plain,
! [X0,X1] : mult(ld(op_c,X0),mult(op_d,X1)) = mult(op_d,mult(mult(X0,op_d),X1)),
inference(forward_demodulation,[],[f762,f2]) ).
fof(f767,plain,
! [X0,X1] : mult(mult(X1,ld(op_c,X0)),op_d) = mult(mult(X1,op_d),mult(X0,op_d)),
inference(forward_demodulation,[],[f756,f2]) ).
fof(f902,plain,
! [X2,X0,X1] : ld(X1,mult(X2,X0)) = mult(ld(X1,mult(X2,X1)),ld(X1,X0)),
inference(superposition,[],[f381,f1]) ).
fof(f915,plain,
! [X0] : mult(ld(op_c,mult(X0,op_c)),op_d) = ld(op_c,mult(X0,unit)),
inference(superposition,[],[f381,f10]) ).
fof(f924,plain,
! [X2,X0,X1] : ld(X1,X0) = mult(ld(X1,mult(rd(X0,mult(X1,X2)),X1)),X2),
inference(superposition,[],[f381,f3]) ).
fof(f945,plain,
! [X0] : ld(op_c,X0) = mult(ld(op_c,mult(X0,op_c)),op_d),
inference(forward_demodulation,[],[f915,f5]) ).
fof(f953,plain,
! [X0] : ld(op_c,X0) = mult(op_d,mult(mult(X0,op_c),op_d)),
inference(forward_demodulation,[],[f945,f686]) ).
fof(f970,plain,
! [X0] : mult(mult(X0,op_c),op_d) = ld(op_d,ld(op_c,X0)),
inference(superposition,[],[f2,f953]) ).
fof(f1178,plain,
! [X0,X1] : mult(mult(ld(op_c,mult(X0,op_c)),op_d),mult(X1,op_d)) = mult(ld(op_c,mult(X0,X1)),op_d),
inference(superposition,[],[f767,f902]) ).
fof(f1180,plain,
! [X2,X0,X1] : ld(X0,mult(X1,X0)) = rd(ld(X0,mult(X1,X2)),ld(X0,X2)),
inference(superposition,[],[f4,f902]) ).
fof(f1195,plain,
! [X0,X1] : mult(mult(ld(op_c,mult(X0,op_c)),op_d),mult(X1,op_d)) = mult(op_d,mult(mult(X0,X1),op_d)),
inference(forward_demodulation,[],[f1178,f686]) ).
fof(f1211,plain,
! [X0,X1] : mult(op_d,mult(mult(X0,X1),op_d)) = mult(mult(op_d,mult(mult(X0,op_c),op_d)),mult(X1,op_d)),
inference(forward_demodulation,[],[f1195,f686]) ).
fof(f1221,plain,
! [X0,X1] : mult(op_d,mult(mult(X0,X1),op_d)) = mult(ld(op_c,X0),mult(X1,op_d)),
inference(forward_demodulation,[],[f1211,f953]) ).
fof(f1226,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X1) = rd(mult(X1,mult(X2,X0)),mult(X1,X0)),
inference(superposition,[],[f581,f2]) ).
fof(f1236,plain,
! [X2,X0,X1] : rd(mult(X2,mult(X0,X2)),X2) = rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)),
inference(superposition,[],[f581,f8]) ).
fof(f1314,plain,
! [X0] : rd(mult(X0,op_c),X0) = rd(mult(X0,unit),mult(X0,op_d)),
inference(superposition,[],[f1226,f10]) ).
fof(f1379,plain,
! [X0] : rd(mult(X0,op_c),X0) = rd(X0,mult(X0,op_d)),
inference(forward_demodulation,[],[f1314,f5]) ).
fof(f1583,plain,
! [X0] : mult(op_c,rd(X0,op_d)) = rd(mult(unit,ld(op_d,X0)),op_d),
inference(superposition,[],[f147,f10]) ).
fof(f1592,plain,
! [X2,X0,X1] : mult(X1,rd(mult(X2,X0),X2)) = rd(mult(mult(X1,X2),X0),X2),
inference(superposition,[],[f147,f2]) ).
fof(f1630,plain,
! [X0] : mult(op_c,rd(X0,op_d)) = rd(ld(op_d,X0),op_d),
inference(forward_demodulation,[],[f1583,f6]) ).
fof(f1724,plain,
! [X2,X0,X1] : mult(rd(X0,X1),rd(mult(X1,X2),X1)) = rd(mult(X0,X2),X1),
inference(superposition,[],[f1592,f3]) ).
fof(f1845,plain,
! [X2,X0,X1] : mult(X0,mult(X1,ld(X0,rd(mult(X0,X2),X0)))) = rd(mult(mult(X0,X1),X2),X0),
inference(superposition,[],[f55,f1724]) ).
fof(f1848,plain,
! [X2,X0,X1] : rd(mult(X2,X1),X2) = ld(rd(X0,X2),rd(mult(X0,X1),X2)),
inference(superposition,[],[f2,f1724]) ).
fof(f2206,plain,
! [X2,X0,X1] : rd(mult(ld(X0,X1),X2),ld(X0,X1)) = ld(X0,rd(mult(X1,X2),ld(X0,X1))),
inference(superposition,[],[f1848,f132]) ).
fof(f2233,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X1) = ld(rd(rd(X0,X2),X1),rd(X0,X1)),
inference(superposition,[],[f1848,f3]) ).
fof(f2237,plain,
! [X0,X1] : rd(mult(X1,X0),X1) = ld(rd(unit,X1),rd(X0,X1)),
inference(superposition,[],[f1848,f6]) ).
fof(f2335,plain,
! [X0,X1] : rd(mult(X1,mult(X0,X1)),X1) = ld(rd(unit,X1),X0),
inference(superposition,[],[f2237,f4]) ).
fof(f2363,plain,
! [X2,X0,X1] : rd(mult(X2,mult(mult(X0,X1),X2)),mult(X1,X2)) = ld(rd(unit,X2),X0),
inference(backward_demodulation,[],[f1236,f2335]) ).
fof(f2392,plain,
! [X0] : mult(mult(op_c,X0),op_c) = rd(ld(op_d,X0),op_d),
inference(superposition,[],[f747,f1]) ).
fof(f2427,plain,
! [X0] : mult(op_c,rd(X0,op_d)) = mult(mult(op_c,X0),op_c),
inference(forward_demodulation,[],[f2392,f1630]) ).
fof(f2464,plain,
! [X0,X1] : mult(mult(op_c,X0),mult(op_c,X1)) = mult(op_c,mult(ld(op_c,mult(op_c,rd(X0,op_d))),X1)),
inference(superposition,[],[f161,f2427]) ).
fof(f2477,plain,
! [X0,X1] : mult(op_c,mult(rd(X0,op_d),X1)) = mult(mult(op_c,X0),mult(op_c,X1)),
inference(forward_demodulation,[],[f2464,f2]) ).
fof(f2519,plain,
! [X0,X1] : mult(mult(op_c,X1),X0) = mult(op_c,mult(rd(X1,op_d),ld(op_c,X0))),
inference(superposition,[],[f2477,f1]) ).
fof(f2592,plain,
! [X0,X1] : mult(mult(op_c,mult(op_d,X0)),X1) = mult(op_c,mult(op_d,mult(X0,ld(op_d,ld(op_c,X1))))),
inference(superposition,[],[f2519,f55]) ).
fof(f2626,plain,
! [X0,X1] : mult(mult(op_c,mult(op_d,X0)),X1) = mult(op_c,mult(op_d,mult(X0,mult(mult(X1,op_c),op_d)))),
inference(forward_demodulation,[],[f2592,f970]) ).
fof(f3457,plain,
! [X2,X0,X1] : rd(mult(X1,X2),X0) = mult(rd(X1,rd(mult(X2,X0),X2)),X2),
inference(superposition,[],[f421,f2]) ).
fof(f3581,plain,
! [X2,X0,X1] : rd(X0,rd(mult(X1,X2),X1)) = rd(rd(mult(X0,X1),X2),X1),
inference(superposition,[],[f4,f3457]) ).
fof(f3747,plain,
! [X0,X1] : mult(X1,ld(X0,unit)) = ld(X0,rd(mult(X0,X1),X0)),
inference(superposition,[],[f2,f591]) ).
fof(f3779,plain,
! [X0] : mult(mult(X0,ld(op_c,unit)),op_d) = mult(op_d,mult(rd(mult(op_c,X0),op_c),op_d)),
inference(superposition,[],[f675,f591]) ).
fof(f3796,plain,
! [X0] : mult(mult(X0,ld(op_c,unit)),op_d) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3779,f55]) ).
fof(f3814,plain,
! [X2,X0,X1] : rd(mult(mult(X0,X1),X2),X0) = mult(X0,mult(X1,mult(X2,ld(X0,unit)))),
inference(backward_demodulation,[],[f1845,f3747]) ).
fof(f3846,plain,
! [X0] : mult(mult(X0,op_d),mult(unit,op_d)) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3796,f767]) ).
fof(f3886,plain,
! [X0] : mult(mult(X0,op_d),op_d) = mult(op_d,mult(op_c,mult(X0,ld(op_c,op_d)))),
inference(forward_demodulation,[],[f3846,f6]) ).
fof(f3931,plain,
! [X0] : mult(op_d,mult(op_c,X0)) = mult(mult(rd(X0,ld(op_c,op_d)),op_d),op_d),
inference(superposition,[],[f3886,f3]) ).
fof(f4961,plain,
! [X0,X1] : rd(mult(X0,X1),X0) = ld(rd(rd(X0,X1),X0),unit),
inference(superposition,[],[f2233,f135]) ).
fof(f6879,plain,
! [X2,X0,X1] : mult(X1,ld(mult(X0,X1),X2)) = mult(ld(X0,rd(X2,X1)),X1),
inference(superposition,[],[f1,f507]) ).
fof(f6898,plain,
! [X0,X1] : mult(op_c,rd(mult(ld(X0,rd(X1,op_d)),op_d),op_d)) = rd(ld(mult(X0,op_d),X1),op_d),
inference(superposition,[],[f1630,f507]) ).
fof(f6899,plain,
! [X0,X1] : mult(op_c,ld(X0,rd(X1,op_d))) = rd(ld(mult(X0,op_d),X1),op_d),
inference(forward_demodulation,[],[f6898,f4]) ).
fof(f8155,plain,
! [X0,X1] : mult(X0,mult(op_c,mult(op_d,X1))) = mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),X1))),
inference(superposition,[],[f161,f763]) ).
fof(f8563,plain,
rd(mult(op_c,op_d),op_c) = ld(mult(op_c,mult(op_d,op_c)),unit),
inference(superposition,[],[f4961,f717]) ).
fof(f8591,plain,
mult(op_c,mult(op_d,op_d)) = ld(mult(op_c,mult(op_d,op_c)),unit),
inference(forward_demodulation,[],[f8563,f16]) ).
fof(f8612,plain,
rd(unit,op_c) = ld(mult(op_c,mult(op_d,op_c)),unit),
inference(forward_demodulation,[],[f8591,f125]) ).
fof(f9032,plain,
! [X2,X0,X1] : ld(X0,mult(rd(X1,mult(X0,X2)),X0)) = rd(ld(X0,X1),X2),
inference(superposition,[],[f4,f924]) ).
fof(f10314,plain,
! [X0] : rd(X0,rd(mult(op_c,op_d),op_c)) = mult(op_c,mult(op_d,mult(X0,op_c))),
inference(superposition,[],[f717,f3581]) ).
fof(f10351,plain,
! [X0] : rd(X0,mult(op_c,mult(op_d,op_d))) = mult(op_c,mult(op_d,mult(X0,op_c))),
inference(forward_demodulation,[],[f10314,f16]) ).
fof(f10398,plain,
! [X0] : rd(X0,rd(unit,op_c)) = mult(op_c,mult(op_d,mult(X0,op_c))),
inference(forward_demodulation,[],[f10351,f125]) ).
fof(f11134,plain,
mult(op_c,mult(op_d,op_c)) = rd(unit,rd(unit,op_c)),
inference(superposition,[],[f132,f8612]) ).
fof(f12003,plain,
! [X2,X0,X1] : ld(X1,mult(rd(X0,X2),X1)) = rd(ld(X1,X0),ld(X1,X2)),
inference(superposition,[],[f1180,f3]) ).
fof(f12350,plain,
! [X2,X0,X1] : rd(X0,ld(X1,X2)) = ld(X1,mult(rd(mult(X1,X0),X2),X1)),
inference(superposition,[],[f12003,f2]) ).
fof(f12629,plain,
! [X0,X1] : ld(X0,mult(mult(X0,X1),X0)) = rd(X1,ld(X0,unit)),
inference(superposition,[],[f12350,f121]) ).
fof(f12996,plain,
! [X0,X1] : mult(X1,rd(X0,ld(X1,unit))) = mult(mult(X1,X0),X1),
inference(superposition,[],[f1,f12629]) ).
fof(f14244,plain,
! [X2,X0,X1] : mult(X0,mult(mult(X1,X2),X0)) = mult(ld(rd(unit,X0),X1),mult(X2,X0)),
inference(superposition,[],[f3,f2363]) ).
fof(f14916,plain,
! [X0,X1] : rd(ld(X0,rd(X1,op_c)),rd(unit,op_c)) = mult(op_c,mult(op_d,mult(op_c,ld(mult(X0,op_c),X1)))),
inference(superposition,[],[f10398,f6879]) ).
fof(f15044,plain,
! [X0,X1] : mult(op_c,mult(op_d,X0)) = mult(mult(op_c,mult(op_d,rd(X0,mult(mult(X1,op_c),op_d)))),X1),
inference(superposition,[],[f2626,f3]) ).
fof(f17603,plain,
! [X2,X0,X1] : mult(rd(X1,mult(X0,X2)),X0) = mult(X0,rd(ld(X0,X1),X2)),
inference(superposition,[],[f1,f9032]) ).
fof(f18210,plain,
! [X2,X0,X1] : mult(mult(op_c,mult(op_d,rd(X1,mult(mult(mult(X0,op_c),op_d),X2)))),X0) = mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),rd(ld(mult(mult(X0,op_c),op_d),X1),X2)))),
inference(superposition,[],[f2626,f17603]) ).
fof(f18237,plain,
! [X2,X0,X1] : mult(mult(op_c,mult(op_d,rd(X1,mult(mult(mult(X0,op_c),op_d),X2)))),X0) = mult(X0,mult(op_c,mult(op_d,rd(ld(mult(mult(X0,op_c),op_d),X1),X2)))),
inference(forward_demodulation,[],[f18210,f8155]) ).
fof(f21460,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,rd(mult(ld(op_c,op_d),X1),ld(op_c,op_d))),op_d),op_d),
inference(superposition,[],[f3931,f1592]) ).
fof(f21480,plain,
! [X0,X1] : mult(mult(X1,mult(rd(X0,ld(op_c,op_d)),op_d)),op_d) = mult(mult(X1,op_d),ld(op_d,mult(op_d,mult(op_c,X0)))),
inference(superposition,[],[f8,f3931]) ).
fof(f21534,plain,
! [X0,X1] : mult(mult(X1,op_d),mult(op_c,X0)) = mult(mult(X1,mult(rd(X0,ld(op_c,op_d)),op_d)),op_d),
inference(forward_demodulation,[],[f21480,f2]) ).
fof(f21546,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,ld(op_c,rd(mult(op_d,X1),ld(op_c,op_d)))),op_d),op_d),
inference(forward_demodulation,[],[f21460,f2206]) ).
fof(f21566,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,op_d),mult(rd(mult(op_d,X1),ld(op_c,op_d)),op_d)),op_d),
inference(forward_demodulation,[],[f21546,f767]) ).
fof(f21575,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(X0,ld(op_c,op_d)),X1))) = mult(mult(mult(X0,op_d),op_d),mult(op_c,mult(op_d,X1))),
inference(forward_demodulation,[],[f21566,f21534]) ).
fof(f24163,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(mult(op_c,mult(op_d,rd(mult(mult(X0,op_c),op_d),mult(mult(mult(X0,op_c),op_d),op_d)))),X0),
inference(superposition,[],[f15044,f1379]) ).
fof(f24354,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,mult(op_c,mult(op_d,rd(ld(mult(mult(X0,op_c),op_d),mult(mult(X0,op_c),op_d)),op_d)))),
inference(forward_demodulation,[],[f24163,f18237]) ).
fof(f24437,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,mult(op_c,mult(op_d,mult(op_c,ld(mult(X0,op_c),rd(mult(mult(X0,op_c),op_d),op_d)))))),
inference(forward_demodulation,[],[f24354,f6899]) ).
fof(f24502,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,rd(ld(X0,rd(rd(mult(mult(X0,op_c),op_d),op_d),op_c)),rd(unit,op_c))),
inference(forward_demodulation,[],[f24437,f14916]) ).
fof(f24548,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,rd(ld(X0,mult(op_c,mult(op_d,mult(mult(X0,op_c),op_d)))),rd(unit,op_c))),
inference(forward_demodulation,[],[f24502,f717]) ).
fof(f24589,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,rd(ld(X0,rd(mult(X0,op_c),op_c)),rd(unit,op_c))),
inference(forward_demodulation,[],[f24548,f703]) ).
fof(f24622,plain,
! [X0] : mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))) = mult(X0,rd(ld(X0,X0),rd(unit,op_c))),
inference(forward_demodulation,[],[f24589,f4]) ).
fof(f24644,plain,
! [X0] : mult(X0,rd(unit,rd(unit,op_c))) = mult(op_c,mult(op_d,mult(mult(mult(X0,op_c),op_d),op_c))),
inference(forward_demodulation,[],[f24622,f40]) ).
fof(f24658,plain,
! [X0] : mult(X0,rd(unit,rd(unit,op_c))) = rd(mult(mult(X0,op_c),op_d),rd(unit,op_c)),
inference(forward_demodulation,[],[f24644,f10398]) ).
fof(f24668,plain,
! [X0] : mult(X0,mult(op_c,mult(op_d,op_c))) = rd(mult(mult(X0,op_c),op_d),rd(unit,op_c)),
inference(forward_demodulation,[],[f24658,f11134]) ).
fof(f26654,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(mult(rd(X0,ld(op_c,op_d)),ld(op_c,op_d)),X1))) = mult(mult(op_d,mult(op_c,X0)),mult(op_c,mult(op_d,X1))),
inference(superposition,[],[f21575,f3931]) ).
fof(f26745,plain,
! [X0,X1] : mult(mult(op_d,mult(op_c,X0)),mult(op_c,mult(op_d,X1))) = mult(op_d,mult(op_c,mult(X0,X1))),
inference(forward_demodulation,[],[f26654,f3]) ).
fof(f27154,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(ld(op_c,X0),X1))) = mult(mult(op_d,X0),mult(op_c,mult(op_d,X1))),
inference(superposition,[],[f26745,f1]) ).
fof(f27633,plain,
! [X0,X1] : mult(op_d,mult(op_c,mult(ld(op_c,X1),mult(mult(X0,op_c),op_d)))) = mult(mult(op_d,X1),mult(op_c,ld(op_c,X0))),
inference(superposition,[],[f27154,f953]) ).
fof(f27742,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,mult(op_c,mult(ld(op_c,X1),mult(mult(X0,op_c),op_d)))),
inference(forward_demodulation,[],[f27633,f1]) ).
fof(f27774,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,mult(op_c,mult(op_d,mult(mult(X1,mult(X0,op_c)),op_d)))),
inference(forward_demodulation,[],[f27742,f1221]) ).
fof(f27804,plain,
! [X0,X1] : mult(mult(op_d,X1),X0) = mult(op_d,rd(mult(X1,mult(X0,op_c)),op_c)),
inference(forward_demodulation,[],[f27774,f703]) ).
fof(f27863,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(op_d,rd(mult(op_c,mult(mult(X0,X1),op_c)),op_c)),
inference(superposition,[],[f27804,f14244]) ).
fof(f27883,plain,
! [X0] : mult(mult(op_d,op_c),X0) = mult(op_d,ld(rd(unit,op_c),X0)),
inference(superposition,[],[f27804,f2335]) ).
fof(f27901,plain,
! [X0,X1] : rd(mult(X0,mult(X1,op_c)),op_c) = ld(op_d,mult(mult(op_d,X0),X1)),
inference(superposition,[],[f2,f27804]) ).
fof(f28009,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(op_d,ld(op_d,mult(mult(op_d,op_c),mult(X0,X1)))),
inference(forward_demodulation,[],[f27863,f27901]) ).
fof(f28059,plain,
! [X0,X1] : mult(mult(op_d,ld(rd(unit,op_c),X0)),X1) = mult(mult(op_d,op_c),mult(X0,X1)),
inference(forward_demodulation,[],[f28009,f1]) ).
fof(f28081,plain,
! [X0,X1] : mult(mult(op_d,op_c),mult(X0,X1)) = mult(mult(mult(op_d,op_c),X0),X1),
inference(forward_demodulation,[],[f28059,f27883]) ).
fof(f28213,plain,
! [X0,X1] : mult(X0,X1) = mult(mult(op_d,op_c),mult(ld(mult(op_d,op_c),X0),X1)),
inference(superposition,[],[f28081,f1]) ).
fof(f28269,plain,
ld(op_c,mult(op_d,op_c)) = mult(op_d,mult(mult(op_d,op_c),mult(op_c,op_d))),
inference(superposition,[],[f953,f28081]) ).
fof(f28275,plain,
! [X0,X1] : mult(mult(op_d,op_c),X0) = rd(mult(mult(op_d,op_c),mult(X0,X1)),X1),
inference(superposition,[],[f4,f28081]) ).
fof(f28426,plain,
ld(op_c,mult(op_d,op_c)) = mult(op_d,mult(mult(op_d,op_c),unit)),
inference(forward_demodulation,[],[f28269,f10]) ).
fof(f28499,plain,
mult(op_d,mult(op_d,op_c)) = ld(op_c,mult(op_d,op_c)),
inference(forward_demodulation,[],[f28426,f5]) ).
fof(f28594,plain,
! [X0] : mult(op_d,mult(op_c,X0)) = mult(op_c,mult(mult(op_d,mult(op_d,op_c)),X0)),
inference(superposition,[],[f161,f28499]) ).
fof(f29145,plain,
! [X0,X1] : mult(X1,mult(mult(op_d,op_c),X0)) = mult(mult(X1,mult(mult(op_d,op_c),mult(X0,ld(X1,unit)))),X1),
inference(superposition,[],[f12996,f28275]) ).
fof(f29171,plain,
! [X0,X1] : mult(X1,mult(mult(op_d,op_c),X0)) = mult(rd(mult(mult(X1,mult(op_d,op_c)),X0),X1),X1),
inference(forward_demodulation,[],[f29145,f3814]) ).
fof(f29316,plain,
! [X0,X1] : mult(X1,mult(mult(op_d,op_c),X0)) = mult(mult(X1,mult(op_d,op_c)),X0),
inference(forward_demodulation,[],[f29171,f3]) ).
fof(f29411,plain,
! [X0] : mult(op_d,mult(op_c,X0)) = mult(op_c,mult(op_d,mult(mult(op_d,op_c),X0))),
inference(backward_demodulation,[],[f28594,f29316]) ).
fof(f29732,plain,
! [X0] : mult(op_d,mult(op_c,ld(op_c,mult(X0,op_c)))) = mult(op_c,mult(op_d,mult(mult(op_d,X0),op_c))),
inference(superposition,[],[f29411,f8]) ).
fof(f29858,plain,
! [X0] : mult(op_d,mult(op_c,ld(op_c,mult(X0,op_c)))) = rd(mult(op_d,X0),rd(unit,op_c)),
inference(forward_demodulation,[],[f29732,f10398]) ).
fof(f29885,plain,
! [X0] : mult(op_d,mult(X0,op_c)) = rd(mult(op_d,X0),rd(unit,op_c)),
inference(forward_demodulation,[],[f29858,f1]) ).
fof(f29904,plain,
! [X0] : mult(op_d,mult(mult(mult(op_c,X0),op_d),op_c)) = rd(mult(X0,op_d),rd(unit,op_c)),
inference(superposition,[],[f29885,f675]) ).
fof(f29996,plain,
! [X0] : mult(X0,mult(op_d,op_c)) = rd(mult(X0,op_d),rd(unit,op_c)),
inference(forward_demodulation,[],[f29904,f671]) ).
fof(f30022,plain,
! [X0] : mult(X0,mult(op_c,mult(op_d,op_c))) = mult(mult(X0,op_c),mult(op_d,op_c)),
inference(backward_demodulation,[],[f24668,f29996]) ).
fof(f30275,plain,
! [X0,X1] : mult(mult(mult(X0,op_c),X1),mult(op_d,op_c)) = mult(mult(X0,mult(op_c,mult(op_d,op_c))),ld(mult(op_d,op_c),mult(X1,mult(op_d,op_c)))),
inference(superposition,[],[f8,f30022]) ).
fof(f30282,plain,
! [X0,X1] : mult(mult(X0,op_c),mult(mult(op_d,op_c),X1)) = mult(mult(op_d,op_c),mult(ld(mult(op_d,op_c),mult(X0,mult(op_c,mult(op_d,op_c)))),X1)),
inference(superposition,[],[f161,f30022]) ).
fof(f30323,plain,
! [X0,X1] : mult(mult(X0,mult(op_c,mult(op_d,op_c))),X1) = mult(mult(X0,op_c),mult(mult(op_d,op_c),X1)),
inference(forward_demodulation,[],[f30282,f28213]) ).
fof(f30365,plain,
! [X0,X1] : mult(mult(mult(X0,op_c),X1),mult(op_d,op_c)) = mult(mult(X0,op_c),mult(mult(op_d,op_c),ld(mult(op_d,op_c),mult(X1,mult(op_d,op_c))))),
inference(backward_demodulation,[],[f30275,f30323]) ).
fof(f30399,plain,
! [X0,X1] : mult(mult(mult(X0,op_c),X1),mult(op_d,op_c)) = mult(mult(X0,op_c),mult(X1,mult(op_d,op_c))),
inference(forward_demodulation,[],[f30365,f1]) ).
fof(f30452,plain,
! [X0,X1] : mult(X0,mult(X1,mult(op_d,op_c))) = mult(mult(X0,X1),mult(op_d,op_c)),
inference(superposition,[],[f30399,f3]) ).
fof(f30592,plain,
mult(a,mult(b,mult(op_d,op_c))) != mult(a,mult(b,mult(op_d,op_c))),
inference(backward_demodulation,[],[f11,f30452]) ).
fof(f30593,plain,
$false,
inference(trivial_inequality_removal,[],[f30592]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP663-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n014.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:33:02 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 113.72/16.89 % (599485)Detected a unit-equality problem, will run specialized UEQ schedule.
% 113.72/16.89 % (599569)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3906731675:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 113.72/16.89 % (599571)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4280372293:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 113.72/16.89 % (599572)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3969101999:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 113.72/16.89 % (599567)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=3621107535:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 113.72/16.89 % (599568)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=449390196:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 113.72/16.89 % (599566)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=1886806205:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 113.72/16.89 % (599570)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1718831347:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 113.72/16.89 % (599569)Instruction limit reached!
% 113.72/16.89 % (599569)------------------------------
% 113.72/16.89 % (599569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599569)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599569)Termination reason: Instruction limit
% 113.72/16.89 % (599569)Termination phase: Saturation
% 113.72/16.89 % (599569)Time elapsed: 0.042 s
% 113.72/16.89 % (599569)Peak memory usage: 89 MB
% 113.72/16.89 % (599569)Instructions burned: 139 (million)
% 113.72/16.89 % (599570)Instruction limit reached!
% 113.72/16.89 % (599570)------------------------------
% 113.72/16.89 % (599570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599570)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599570)Termination reason: Instruction limit
% 113.72/16.89 % (599570)Termination phase: Saturation
% 113.72/16.89 % (599570)Time elapsed: 0.106 s
% 113.72/16.89 % (599570)Peak memory usage: 89 MB
% 113.72/16.89 % (599570)Instructions burned: 183 (million)
% 113.72/16.89 % (599571)Instruction limit reached!
% 113.72/16.89 % (599571)------------------------------
% 113.72/16.89 % (599571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599571)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599571)Termination reason: Instruction limit
% 113.72/16.89 % (599571)Termination phase: Saturation
% 113.72/16.89 % (599571)Time elapsed: 0.154 s
% 113.72/16.89 % (599571)Peak memory usage: 90 MB
% 113.72/16.89 % (599571)Instructions burned: 258 (million)
% 113.72/16.89 % (599581)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1991144071:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 113.72/16.89 % (599594)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2575635332:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 113.72/16.89 % (599595)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1398756522:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 113.72/16.89 % (599595)Instruction limit reached!
% 113.72/16.89 % (599595)------------------------------
% 113.72/16.89 % (599595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599595)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599595)Termination reason: Instruction limit
% 113.72/16.89 % (599595)Termination phase: Saturation
% 113.72/16.89 % (599595)Time elapsed: 0.153 s
% 113.72/16.89 % (599595)Peak memory usage: 90 MB
% 113.72/16.89 % (599595)Instructions burned: 216 (million)
% 113.72/16.89 % (599572)Instruction limit reached!
% 113.72/16.89 % (599572)------------------------------
% 113.72/16.89 % (599572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599572)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599572)Termination reason: Instruction limit
% 113.72/16.89 % (599572)Termination phase: Saturation
% 113.72/16.89 % (599572)Time elapsed: 0.550 s
% 113.72/16.89 % (599572)Peak memory usage: 101 MB
% 113.72/16.89 % (599572)Instructions burned: 1189 (million)
% 113.72/16.89 % (599611)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=2869579526:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 113.72/16.89 % (599607)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=3699666783:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 113.72/16.89 % (599607)Instruction limit reached!
% 113.72/16.89 % (599607)------------------------------
% 113.72/16.89 % (599607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599607)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599607)Termination reason: Instruction limit
% 113.72/16.89 % (599607)Termination phase: Saturation
% 113.72/16.89 % (599607)Time elapsed: 0.218 s
% 113.72/16.89 % (599607)Peak memory usage: 94 MB
% 113.72/16.89 % (599607)Instructions burned: 317 (million)
% 113.72/16.89 % (599624)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=729009600:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2988 on theBenchmark for (2988ds/2836Mi)
% 113.72/16.89 % (599581)Instruction limit reached!
% 113.72/16.89 % (599581)------------------------------
% 113.72/16.89 % (599581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599581)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599581)Termination reason: Instruction limit
% 113.72/16.89 % (599581)Termination phase: Saturation
% 113.72/16.89 % (599581)Time elapsed: 2.009 s
% 113.72/16.89 % (599581)Peak memory usage: 142 MB
% 113.72/16.89 % (599581)Instructions burned: 2052 (million)
% 113.72/16.89 % (599632)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1401065115:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2976 on theBenchmark for (2976ds/14534Mi)
% 113.72/16.89 % (599624)Instruction limit reached!
% 113.72/16.89 % (599624)------------------------------
% 113.72/16.89 % (599624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599624)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599624)Termination reason: Instruction limit
% 113.72/16.89 % (599624)Termination phase: Saturation
% 113.72/16.89 % (599624)Time elapsed: 3.188 s
% 113.72/16.89 % (599624)Peak memory usage: 134 MB
% 113.72/16.89 % (599624)Instructions burned: 2837 (million)
% 113.72/16.89 % (599636)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=2455978867:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2953 on theBenchmark for (2953ds/11832Mi)
% 113.72/16.89 % (599594)Instruction limit reached!
% 113.72/16.89 % (599594)------------------------------
% 113.72/16.89 % (599594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599594)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599594)Termination reason: Instruction limit
% 113.72/16.89 % (599594)Termination phase: Saturation
% 113.72/16.89 % (599594)Time elapsed: 4.906 s
% 113.72/16.89 % (599594)Peak memory usage: 170 MB
% 113.72/16.89 % (599594)Instructions burned: 4949 (million)
% 113.72/16.89 % (599639)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=424035167:i=2279:fgj=on:bd=all_2946 on theBenchmark for (2946ds/2279Mi)
% 113.72/16.89 % (599611)Instruction limit reached!
% 113.72/16.89 % (599611)------------------------------
% 113.72/16.89 % (599611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599611)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599611)Termination reason: Instruction limit
% 113.72/16.89 % (599611)Termination phase: Saturation
% 113.72/16.89 % (599611)Time elapsed: 6.710 s
% 113.72/16.89 % (599611)Peak memory usage: 245 MB
% 113.72/16.89 % (599611)Instructions burned: 12125 (million)
% 113.72/16.89 % (599639)Instruction limit reached!
% 113.72/16.89 % (599639)------------------------------
% 113.72/16.89 % (599639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599639)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599639)Termination reason: Instruction limit
% 113.72/16.89 % (599639)Termination phase: Saturation
% 113.72/16.89 % (599639)Time elapsed: 2.028 s
% 113.72/16.89 % (599639)Peak memory usage: 138 MB
% 113.72/16.89 % (599639)Instructions burned: 2279 (million)
% 113.72/16.89 % (599644)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=455568379:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2923 on theBenchmark for (2923ds/6225Mi)
% 113.72/16.89 % (599645)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=2942430035:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2923 on theBenchmark for (2923ds/21755Mi)
% 113.72/16.89 % (599644)Instruction limit reached!
% 113.72/16.89 % (599644)------------------------------
% 113.72/16.89 % (599644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 113.72/16.89 % (599644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 113.72/16.89 % (599644)CaDiCaL version: 2.1.3
% 113.72/16.89 % (599644)Termination reason: Instruction limit
% 113.72/16.89 % (599644)Termination phase: Saturation
% 113.72/16.89 % (599644)Time elapsed: 3.108 s
% 113.72/16.89 % (599644)Peak memory usage: 151 MB
% 113.72/16.89 % (599644)Instructions burned: 6228 (million)
% 113.72/16.89 % (599652)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:flr=on:random_seed=3558561275:s2pl=no:i=16427:s2at=1.5:bd=all:fsr=off_2890 on theBenchmark for (2890ds/16427Mi)
% 113.72/16.89 % (599652)First to succeed.
% 113.72/16.89 % (599652)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-599485"
% 113.72/16.89 % (599652)Refutation found. Thanks to Tanya!
% 113.72/16.89 % SZS status Unsatisfiable for theBenchmark
% 113.72/16.89 % SZS output start Proof for theBenchmark
% See solution above
% 114.41/17.08 % (599652)------------------------------
% 114.41/17.08 % (599652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 114.41/17.08 % (599652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 114.41/17.08 % (599652)CaDiCaL version: 2.1.3
% 114.41/17.08 % (599652)Termination reason: Refutation
% 114.41/17.08 % (599652)Time elapsed: 4.538 s
% 114.41/17.08 % (599652)Peak memory usage: 194 MB
% 114.41/17.08 % (599652)Instructions burned: 7834 (million)
% 114.41/17.08 % (599652)------------------------------
% 114.41/17.08 % (599652)------------------------------
% 114.41/17.08 % (599485)Success in time 16.019 s
% 114.41/17.08 % Vampire exiting
%------------------------------------------------------------------------------