%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 11:58:33 AM UTC 2026
% Result : Unsatisfiable 101.17s 27.19s
% Output : Refutation 101.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 6
% Syntax : Number of formulae : 119 ( 119 unt; 0 def)
% Number of atoms : 119 ( 118 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-4 aty)
% Number of variables : 329 ( 329 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0,X1] : ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f3,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,ifeq(is_a_theorem(X0),true,is_a_theorem(X1),true),true),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_1) ).
fof(f5,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(reorient_equations,[],[f4]) ).
fof(f6,axiom,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_2) ).
fof(f7,plain,
! [X0] : true = is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(reorient_equations,[],[f6]) ).
fof(f8,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cn_3) ).
fof(f9,plain,
! [X0,X1] : true = is_a_theorem(implies(X0,implies(not(X0),X1))),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
is_a_theorem(implies(not(implies(x,y)),x)) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_66) ).
fof(f11,plain,
true != is_a_theorem(implies(not(implies(x,y)),x)),
inference(reorient_equations,[],[f10]) ).
fof(f12,plain,
! [X0] : true = ifeq(true,true,ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true),true),
inference(superposition,[],[f3,f7]) ).
fof(f13,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),true),
inference(superposition,[],[f3,f5]) ).
fof(f14,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true),true),
inference(superposition,[],[f3,f9]) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true),
inference(superposition,[],[f3,f7]) ).
fof(f17,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f9]) ).
fof(f21,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X0),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f17,f1]) ).
fof(f23,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(not(X0),X0),X0),X1)),true,is_a_theorem(X1),true),
inference(forward_demodulation,[],[f15,f1]) ).
fof(f24,plain,
! [X0,X1] : true = ifeq(is_a_theorem(X0),true,is_a_theorem(implies(not(X0),X1)),true),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(X0,X1)),true,is_a_theorem(implies(implies(X1,X2),implies(X0,X2))),true),
inference(forward_demodulation,[],[f13,f1]) ).
fof(f26,plain,
! [X0] : true = ifeq(is_a_theorem(implies(not(X0),X0)),true,is_a_theorem(X0),true),
inference(forward_demodulation,[],[f12,f1]) ).
fof(f28,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),X3)),true),
inference(superposition,[],[f24,f5]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(not(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),X3)),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f111,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f21,f5]) ).
fof(f122,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f111,f1]) ).
fof(f124,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),true),
inference(superposition,[],[f3,f122]) ).
fof(f125,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)),X3)),true,ifeq(true,true,is_a_theorem(X3),true),true),
inference(superposition,[],[f3,f122]) ).
fof(f135,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(not(X0),X1),X2),implies(X0,X2)),X3)),true,is_a_theorem(X3),true),
inference(forward_demodulation,[],[f125,f1]) ).
fof(f136,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(not(X0),X1),X2)),true,is_a_theorem(implies(X0,X2)),true),
inference(forward_demodulation,[],[f124,f1]) ).
fof(f197,plain,
! [X0] : true = ifeq(true,true,is_a_theorem(implies(X0,X0)),true),
inference(superposition,[],[f23,f122]) ).
fof(f198,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),true),
inference(superposition,[],[f23,f5]) ).
fof(f214,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f215,plain,
! [X0] : true = is_a_theorem(implies(X0,X0)),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f221,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,ifeq(true,true,is_a_theorem(X1),true),true),
inference(superposition,[],[f3,f215]) ).
fof(f234,plain,
! [X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(X1),true),
inference(forward_demodulation,[],[f221,f1]) ).
fof(f517,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),true),
inference(superposition,[],[f136,f5]) ).
fof(f546,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X0,implies(implies(X1,X2),implies(not(X0),X2)))),
inference(forward_demodulation,[],[f517,f1]) ).
fof(f586,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X0)),X2))),true),
inference(superposition,[],[f234,f546]) ).
fof(f612,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X1,X2),implies(not(implies(X0,X0)),X2))),
inference(forward_demodulation,[],[f586,f1]) ).
fof(f617,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X0,implies(not(implies(X2,X2)),X1))),true),
inference(superposition,[],[f136,f612]) ).
fof(f639,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X0,implies(not(implies(X2,X2)),X1))),
inference(forward_demodulation,[],[f617,f1]) ).
fof(f1535,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),true),
inference(superposition,[],[f25,f5]) ).
fof(f1549,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X0,X3))),true),
inference(superposition,[],[f25,f639]) ).
fof(f1555,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X1,X2),implies(not(X0),X2)),X3),implies(X0,X3))),true),
inference(superposition,[],[f25,f546]) ).
fof(f1609,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(not(X0),X2)),X3),implies(X0,X3))),
inference(forward_demodulation,[],[f1555,f1]) ).
fof(f1615,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(not(implies(X1,X1)),X2),X3),implies(X0,X3))),
inference(forward_demodulation,[],[f1549,f1]) ).
fof(f1629,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X0,X2)),X3),implies(implies(X0,X1),X3))),
inference(forward_demodulation,[],[f1535,f1]) ).
fof(f1634,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X0,X0))),true),
inference(superposition,[],[f23,f1615]) ).
fof(f1669,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(X0,X0))),
inference(forward_demodulation,[],[f1634,f1]) ).
fof(f1684,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f25,f1669]) ).
fof(f1713,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f1684,f1]) ).
fof(f1763,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X2,X1),X3),implies(implies(implies(X0,X0),X1),X3))),true),
inference(superposition,[],[f25,f1713]) ).
fof(f1766,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(implies(X2,X1)),true),true),
inference(superposition,[],[f3,f1713]) ).
fof(f1790,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X0),X1)),true,is_a_theorem(implies(X2,X1)),true),
inference(forward_demodulation,[],[f1766,f1]) ).
fof(f1792,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X2,X1),X3),implies(implies(implies(X0,X0),X1),X3))),
inference(forward_demodulation,[],[f1763,f1]) ).
fof(f2118,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(not(X0),X0),X0))),true),
inference(superposition,[],[f1790,f214]) ).
fof(f2209,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(not(X0),X0),X0))),
inference(forward_demodulation,[],[f2118,f1]) ).
fof(f2345,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f25,f2209]) ).
fof(f2349,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(implies(not(X1),X1),X1)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f2209]) ).
fof(f2373,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(implies(not(X1),X1),X1)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f2349,f1]) ).
fof(f2376,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f2345,f1]) ).
fof(f3121,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X1),X0),X0)),true),
inference(superposition,[],[f23,f1792]) ).
fof(f3163,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X1),X0),X0)),
inference(forward_demodulation,[],[f3121,f1]) ).
fof(f3173,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(X0,X0),X1),X1),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f3163]) ).
fof(f3197,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(X0,X0),X1),X1),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f3173,f1]) ).
fof(f5577,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(not(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),X3),X4)),true,ifeq(true,true,is_a_theorem(X4),true),true),
inference(superposition,[],[f3,f34]) ).
fof(f5607,plain,
! [X2,X3,X0,X1,X4] : true = ifeq(is_a_theorem(implies(implies(not(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),X3),X4)),true,is_a_theorem(X4),true),
inference(forward_demodulation,[],[f5577,f1]) ).
fof(f13214,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),true),
inference(superposition,[],[f3,f1629]) ).
fof(f13263,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3)),true,is_a_theorem(implies(implies(X2,X0),X3)),true),
inference(forward_demodulation,[],[f13214,f1]) ).
fof(f40718,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(X0,implies(not(X2),X1)))),true),
inference(superposition,[],[f135,f1609]) ).
fof(f41416,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(X0,implies(not(X2),X1)))),
inference(forward_demodulation,[],[f40718,f1]) ).
fof(f41468,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(not(X0),X2)),X3),implies(X0,X3))),true),
inference(superposition,[],[f25,f41416]) ).
fof(f41544,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,implies(not(X0),X2)),X3),implies(X0,X3))),
inference(forward_demodulation,[],[f41468,f1]) ).
fof(f43000,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)),true,is_a_theorem(implies(X1,X3)),true),true),
inference(superposition,[],[f3,f41544]) ).
fof(f43080,plain,
! [X2,X3,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(not(X1),X2)),X3)),true,is_a_theorem(implies(X1,X3)),true),
inference(forward_demodulation,[],[f43000,f1]) ).
fof(f96607,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X2,implies(X1,X0)))),true),
inference(superposition,[],[f13263,f2376]) ).
fof(f97432,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X2,implies(X1,X0)))),
inference(forward_demodulation,[],[f96607,f1]) ).
fof(f100571,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X0,X1)))),true),
inference(superposition,[],[f43080,f97432]) ).
fof(f100575,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X1),X0),implies(X2,implies(implies(X0,X1),X1)))),true),
inference(superposition,[],[f13263,f97432]) ).
fof(f100710,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(X2,implies(implies(X0,X1),X1)))),
inference(forward_demodulation,[],[f100575,f1]) ).
fof(f100714,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X1,implies(X2,implies(X0,X1)))),
inference(forward_demodulation,[],[f100571,f1]) ).
fof(f100806,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,implies(X2,X0)),X3),implies(X0,X3))),true),
inference(superposition,[],[f25,f100714]) ).
fof(f100923,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,implies(X2,X0)),X3),implies(X0,X3))),
inference(forward_demodulation,[],[f100806,f1]) ).
fof(f103315,plain,
! [X2,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(X1,X2))),true),
inference(superposition,[],[f3197,f100923]) ).
fof(f103483,plain,
! [X2,X1] : true = is_a_theorem(implies(X2,implies(X1,X2))),
inference(forward_demodulation,[],[f103315,f1]) ).
fof(f103564,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),true),
inference(superposition,[],[f25,f103483]) ).
fof(f103580,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
inference(superposition,[],[f3,f103483]) ).
fof(f103677,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,implies(X1,X0)),X2)),true,is_a_theorem(X2),true),
inference(forward_demodulation,[],[f103580,f1]) ).
fof(f103683,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f103564,f1]) ).
fof(f106438,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),true),
inference(superposition,[],[f3,f103683]) ).
fof(f106562,plain,
! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(X0,X1),X2)),true,is_a_theorem(implies(X1,X2)),true),
inference(forward_demodulation,[],[f106438,f1]) ).
fof(f114482,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X2,implies(implies(implies(implies(not(X1),X1),X1),X0),X0))),true),
inference(superposition,[],[f2373,f100710]) ).
fof(f114640,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(implies(implies(implies(not(X1),X1),X1),X0),X0))),
inference(forward_demodulation,[],[f114482,f1]) ).
fof(f117255,plain,
! [X4,X5] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X4),X4),X4),X5),X5)),true),
inference(superposition,[],[f5607,f114640]) ).
fof(f117389,plain,
! [X4,X5] : true = is_a_theorem(implies(implies(implies(implies(not(X4),X4),X4),X5),X5)),
inference(forward_demodulation,[],[f117255,f1]) ).
fof(f117452,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X1,X0))),true),
inference(superposition,[],[f13263,f117389]) ).
fof(f117606,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X1,X0))),
inference(forward_demodulation,[],[f117452,f1]) ).
fof(f117650,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X1),X0),implies(implies(X0,X1),X1))),true),
inference(superposition,[],[f13263,f117606]) ).
fof(f117798,plain,
! [X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(implies(X0,X1),X1))),
inference(forward_demodulation,[],[f117650,f1]) ).
fof(f126458,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),true),
inference(superposition,[],[f106562,f117798]) ).
fof(f127503,plain,
! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),
inference(forward_demodulation,[],[f126458,f1]) ).
fof(f127798,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),true),
inference(superposition,[],[f25,f127503]) ).
fof(f127929,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
inference(forward_demodulation,[],[f127798,f1]) ).
fof(f133583,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(X0),implies(X0,X1))),true),
inference(superposition,[],[f135,f127929]) ).
fof(f133743,plain,
! [X0,X1] : true = is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(forward_demodulation,[],[f133583,f1]) ).
fof(f134048,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),true),
inference(superposition,[],[f25,f133743]) ).
fof(f134181,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
inference(forward_demodulation,[],[f134048,f1]) ).
fof(f141305,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,X0),implies(not(X0),implies(X2,X1)))),true),
inference(superposition,[],[f13263,f134181]) ).
fof(f141465,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,X0),implies(not(X0),implies(X2,X1)))),
inference(forward_demodulation,[],[f141305,f1]) ).
fof(f144569,plain,
! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(implies(X1,X0)),implies(X0,X2))),true),
inference(superposition,[],[f103677,f141465]) ).
fof(f144773,plain,
! [X2,X0,X1] : true = is_a_theorem(implies(not(implies(X1,X0)),implies(X0,X2))),
inference(forward_demodulation,[],[f144569,f1]) ).
fof(f144816,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(implies(X0,X1)),X3))),true),
inference(superposition,[],[f25,f144773]) ).
fof(f144951,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X2),X3),implies(not(implies(X0,X1)),X3))),
inference(forward_demodulation,[],[f144816,f1]) ).
fof(f362960,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(implies(X3,X0)),implies(not(implies(X0,X1)),X2))),true),
inference(superposition,[],[f21,f144951]) ).
fof(f363196,plain,
! [X2,X3,X0,X1] : true = is_a_theorem(implies(not(implies(X3,X0)),implies(not(implies(X0,X1)),X2))),
inference(forward_demodulation,[],[f362960,f1]) ).
fof(f366448,plain,
! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(not(implies(X0,X1)),X0)),true),
inference(superposition,[],[f26,f363196]) ).
fof(f366675,plain,
! [X0,X1] : true = is_a_theorem(implies(not(implies(X0,X1)),X0)),
inference(forward_demodulation,[],[f366448,f1]) ).
fof(f366695,plain,
true != true,
inference(superposition,[],[f11,f366675]) ).
fof(f366857,plain,
$false,
inference(trivial_inequality_removal,[],[f366695]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL400-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48 % Computer : n010.cluster.edu
% 0.21/0.48 % Model : x86_64 x86_64
% 0.21/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48 % Memory : 8046.5625MB
% 0.21/0.48 % OS : Linux 6.8.0-71-generic
% 0.21/0.48 % CPULimit : 300
% 0.21/0.48 % WCLimit : 300
% 0.21/0.48 % DateTime : Sun Sep 27 15:40:32 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.54 Running first-order model finding
% 0.25/0.54 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.80/3.23 % (1115987)Will run a generic schedule for satisfiability detection.
% 18.80/3.23 % (1115993)% WARNING: option uhcvi not known.
% 18.80/3.23 % (1115994)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2483225030:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 18.80/3.23 % (1115995)dis+10_1_sil=32000:sp=arity:random_seed=841067234:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 18.80/3.23 % (1115993)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2176009475:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 18.80/3.23 % (1115992)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=207252011_2999 on theBenchmark for (2999ds/0Mi)
% 18.80/3.23 % (1115997)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3171490572:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 18.80/3.23 % TRYING [1]
% 18.80/3.23 % TRYING [2]
% 18.80/3.23 % TRYING [3]
% 18.80/3.23 % (1115998)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3880183221:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 18.80/3.23 % (1115996)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2882921013:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 18.80/3.23 % TRYING [4]
% 18.80/3.23 % (1115995)Instruction limit reached!
% 18.80/3.23 % (1115995)------------------------------
% 18.80/3.23 % (1115995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.23 % (1115995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.23 % (1115995)CaDiCaL version: 2.1.3
% 18.80/3.23 % (1115995)Termination reason: Instruction limit
% 18.80/3.23 % (1115995)Termination phase: Saturation
% 18.80/3.23 % (1115995)Time elapsed: 0.096 s
% 18.80/3.23 % (1115995)Peak memory usage: 11 MB
% 18.80/3.23 % (1115995)Instructions burned: 103 (million)
% 18.80/3.23 % (1115998)Instruction limit reached!
% 18.80/3.23 % (1115998)------------------------------
% 18.80/3.23 % (1115998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.23 % (1115998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.23 % (1115998)CaDiCaL version: 2.1.3
% 18.80/3.23 % (1115998)Termination reason: Instruction limit
% 18.80/3.23 % (1115998)Termination phase: Saturation
% 18.80/3.23 % (1115998)Time elapsed: 0.082 s
% 18.80/3.23 % (1115998)Peak memory usage: 12 MB
% 18.80/3.23 % (1115998)Instructions burned: 159 (million)
% 18.80/3.23 % (1115997)Instruction limit reached!
% 18.80/3.23 % (1115997)------------------------------
% 18.80/3.23 % (1115997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.23 % (1115997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.23 % (1115997)CaDiCaL version: 2.1.3
% 18.80/3.23 % (1115997)Termination reason: Instruction limit
% 18.80/3.23 % (1115997)Termination phase: Saturation
% 18.80/3.23 % (1115997)Time elapsed: 0.121 s
% 18.80/3.23 % (1115997)Peak memory usage: 12 MB
% 18.80/3.23 % (1115997)Instructions burned: 132 (million)
% 18.80/3.23 % (1116006)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1018705404:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 18.80/3.23 % (1115996)Instruction limit reached!
% 18.80/3.23 % (1115996)------------------------------
% 18.80/3.23 % (1115996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.80/3.23 % (1115996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.80/3.23 % (1115996)CaDiCaL version: 2.1.3
% 18.80/3.23 % (1115996)Termination reason: Instruction limit
% 18.80/3.23 % (1115996)Termination phase: Saturation
% 18.80/3.23 % (1115996)Time elapsed: 0.111 s
% 18.80/3.23 % (1115996)Peak memory usage: 12 MB
% 18.80/3.23 % (1115996)Instructions burned: 116 (million)
% 18.80/3.23 % TRYING [1]
% 18.80/3.23 % TRYING [2]
% 18.80/3.23 % TRYING [3]
% 18.80/3.23 % (1116007)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2659409107:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 18.80/3.23 % (1116008)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3944389501:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 18.80/3.23 % TRYING [4]
% 18.80/3.23 % (1116010)ott-21_1_sil=16000:fs=off:random_seed=2030664431:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 18.80/3.23 % TRYING [5]
% 18.80/3.23 % (1116007)Instruction limit reached!
% 18.80/3.23 % (1116007)------------------------------
% 18.80/3.23 % (1116007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116007)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116007)Termination reason: Instruction limit
% 47.14/7.26 % (1116007)Termination phase: Saturation
% 47.14/7.26 % (1116007)Time elapsed: 0.140 s
% 47.14/7.26 % (1116007)Peak memory usage: 13 MB
% 47.14/7.26 % (1116007)Instructions burned: 131 (million)
% 47.14/7.26 % (1116014)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2585094779:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 47.14/7.26 % (1116010)Instruction limit reached!
% 47.14/7.26 % (1116010)------------------------------
% 47.14/7.26 % (1116010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116010)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116010)Termination reason: Instruction limit
% 47.14/7.26 % (1116010)Termination phase: Saturation
% 47.14/7.26 % (1116010)Time elapsed: 0.155 s
% 47.14/7.26 % (1116010)Peak memory usage: 11 MB
% 47.14/7.26 % (1116010)Instructions burned: 180 (million)
% 47.14/7.26 % (1116016)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3647083038:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 47.14/7.26 % TRYING [1]
% 47.14/7.26 % TRYING [2]
% 47.14/7.26 % TRYING [3]
% 47.14/7.26 % TRYING [4]
% 47.14/7.26 % (1116008)Instruction limit reached!
% 47.14/7.26 % (1116008)------------------------------
% 47.14/7.26 % (1116008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116008)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116008)Termination reason: Instruction limit
% 47.14/7.26 % (1116008)Termination phase: Saturation
% 47.14/7.26 % (1116008)Time elapsed: 0.337 s
% 47.14/7.26 % (1116008)Peak memory usage: 17 MB
% 47.14/7.26 % (1116008)Instructions burned: 684 (million)
% 47.14/7.26 % TRYING [5]
% 47.14/7.26 % (1116018)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=290763665:i=1179_2994 on theBenchmark for (2994ds/1179Mi)
% 47.14/7.26 % TRYING [5]
% 47.14/7.26 % (1116006)Instruction limit reached!
% 47.14/7.26 % (1116006)------------------------------
% 47.14/7.26 % (1116006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116006)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116006)Termination reason: Instruction limit
% 47.14/7.26 % (1116006)Termination phase: Finite model building SAT solving
% 47.14/7.26 % (1116006)Time elapsed: 0.590 s
% 47.14/7.26 % (1116006)Peak memory usage: 17 MB
% 47.14/7.26 % (1116006)Instructions burned: 715 (million)
% 47.14/7.26 % (1116020)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1616947446:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 47.14/7.26 % (1116014)Instruction limit reached!
% 47.14/7.26 % (1116014)------------------------------
% 47.14/7.26 % (1116014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116014)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116014)Termination reason: Instruction limit
% 47.14/7.26 % (1116014)Termination phase: Saturation
% 47.14/7.26 % (1116014)Time elapsed: 0.457 s
% 47.14/7.26 % (1116014)Peak memory usage: 16 MB
% 47.14/7.26 % (1116014)Instructions burned: 477 (million)
% 47.14/7.26 % (1116022)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1382087683:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 47.14/7.26 % (1116016)Instruction limit reached!
% 47.14/7.26 % (1116016)------------------------------
% 47.14/7.26 % (1116016)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 47.14/7.26 % (1116016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.14/7.26 % (1116016)CaDiCaL version: 2.1.3
% 47.14/7.26 % (1116016)Termination reason: Instruction limit
% 47.14/7.26 % (1116016)Termination phase: Finite model building SAT solving
% 47.14/7.26 % (1116016)Time elapsed: 0.709 s
% 47.14/7.26 % (1116016)Peak memory usage: 15 MB
% 47.14/7.26 % (1116016)Instructions burned: 865 (million)
% 47.14/7.26 % (1116024)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3737999394:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 47.14/7.26 % (1116018)Instruction limit reached!
% 47.14/7.26 % (1116018)------------------------------
% 78.37/11.65 % (1116018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116018)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116018)Termination reason: Instruction limit
% 78.37/11.65 % (1116018)Termination phase: Saturation
% 78.37/11.65 % (1116018)Time elapsed: 0.642 s
% 78.37/11.65 % (1116018)Peak memory usage: 28 MB
% 78.37/11.65 % (1116018)Instructions burned: 1181 (million)
% 78.37/11.65 % (1116026)fmb+10_1_sil=64000:random_seed=2048846374:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 78.37/11.65 % TRYING [1]
% 78.37/11.65 % TRYING [2]
% 78.37/11.65 % TRYING [3]
% 78.37/11.65 % TRYING [4]
% 78.37/11.65 % TRYING [5]
% 78.37/11.65 % TRYING [14]
% 78.37/11.65 % (1116022)Instruction limit reached!
% 78.37/11.65 % (1116022)------------------------------
% 78.37/11.65 % (1116022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116022)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116022)Termination reason: Instruction limit
% 78.37/11.65 % (1116022)Termination phase: Saturation
% 78.37/11.65 % (1116022)Time elapsed: 0.570 s
% 78.37/11.65 % (1116022)Peak memory usage: 18 MB
% 78.37/11.65 % (1116022)Instructions burned: 693 (million)
% 78.37/11.65 % (1116020)Instruction limit reached!
% 78.37/11.65 % (1116020)------------------------------
% 78.37/11.65 % (1116020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116020)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116020)Termination reason: Instruction limit
% 78.37/11.65 % (1116020)Termination phase: Finite model building constraint generation
% 78.37/11.65 % (1116020)Time elapsed: 0.629 s
% 78.37/11.65 % (1116020)Peak memory usage: 97 MB
% 78.37/11.65 % (1116020)Instructions burned: 890 (million)
% 78.37/11.65 % (1116029)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3356522481:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 78.37/11.65 % TRYING [20]
% 78.37/11.65 % (1116038)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3569074784:fmbsr=1.7:i=920_2985 on theBenchmark for (2985ds/920Mi)
% 78.37/11.65 % TRYING [8]
% 78.37/11.65 % (1116024)Instruction limit reached!
% 78.37/11.65 % (1116024)------------------------------
% 78.37/11.65 % (1116024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116024)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116024)Termination reason: Instruction limit
% 78.37/11.65 % (1116024)Termination phase: Saturation
% 78.37/11.65 % (1116024)Time elapsed: 0.549 s
% 78.37/11.65 % (1116024)Peak memory usage: 19 MB
% 78.37/11.65 % (1116024)Instructions burned: 879 (million)
% 78.37/11.65 % (1116124)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1202461434:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 78.37/11.65 % (1116038)Instruction limit reached!
% 78.37/11.65 % (1116038)------------------------------
% 78.37/11.65 % (1116038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116038)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116038)Termination reason: Instruction limit
% 78.37/11.65 % (1116038)Termination phase: Finite model building SAT solving
% 78.37/11.65 % (1116038)Time elapsed: 0.401 s
% 78.37/11.65 % (1116038)Peak memory usage: 62 MB
% 78.37/11.65 % (1116038)Instructions burned: 920 (million)
% 78.37/11.65 % (1116183)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4117753240:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 78.37/11.65 % (1116183)Instruction limit reached!
% 78.37/11.65 % (1116183)------------------------------
% 78.37/11.65 % (1116183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 78.37/11.65 % (1116183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 78.37/11.65 % (1116183)CaDiCaL version: 2.1.3
% 78.37/11.65 % (1116183)Termination reason: Instruction limit
% 78.37/11.65 % (1116183)Termination phase: Saturation
% 78.37/11.65 % (1116183)Time elapsed: 0.745 s
% 78.37/11.65 % (1116183)Peak memory usage: 30 MB
% 78.37/11.65 % (1116183)Instructions burned: 1474 (million)
% 78.37/11.65 % (1116189)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2178031714:i=6324_2973 on theBenchmark for (2973ds/6324Mi)
% 78.37/11.65 % (1116189)Cannot represent all propositional literals internally
% 101.17/27.19 % (1116189)Refutation not found, incomplete strategy
% 101.17/27.19 % (1116189)------------------------------
% 101.17/27.19 % (1116189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116189)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116189)Termination reason: Refutation not found, incomplete strategy
% 101.17/27.19 % (1116189)Time elapsed: 0.001 s
% 101.17/27.19 % (1116189)Peak memory usage: 10 MB
% 101.17/27.19 % (1116189)Instructions burned: 2 (million)
% 101.17/27.19 % (1116189)------------------------------
% 101.17/27.19 % (1116189)------------------------------
% 101.17/27.19 % (1116191)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2847809780:fmbsr=2.30978:i=2174_2973 on theBenchmark for (2973ds/2174Mi)
% 101.17/27.19 % TRYING [16]
% 101.17/27.19 % TRYING [6]
% 101.17/27.19 % (1116191)Instruction limit reached!
% 101.17/27.19 % (1116191)------------------------------
% 101.17/27.19 % (1116191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116191)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116191)Termination reason: Instruction limit
% 101.17/27.19 % (1116191)Termination phase: Finite model building constraint generation
% 101.17/27.19 % (1116191)Time elapsed: 0.729 s
% 101.17/27.19 % (1116191)Peak memory usage: 133 MB
% 101.17/27.19 % (1116191)Instructions burned: 2174 (million)
% 101.17/27.19 % (1116193)ott-2_1_sil=16000:newcnf=on:random_seed=2857815645:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2965 on theBenchmark for (2965ds/869Mi)
% 101.17/27.19 % (1116193)Instruction limit reached!
% 101.17/27.19 % (1116193)------------------------------
% 101.17/27.19 % (1116193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116193)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116193)Termination reason: Instruction limit
% 101.17/27.19 % (1116193)Termination phase: Saturation
% 101.17/27.19 % (1116193)Time elapsed: 0.481 s
% 101.17/27.19 % (1116193)Peak memory usage: 21 MB
% 101.17/27.19 % (1116193)Instructions burned: 870 (million)
% 101.17/27.19 % (1116195)ott+10_1_sil=32000:tgt=ground:random_seed=1831789959:i=5114:av=off_2960 on theBenchmark for (2960ds/5114Mi)
% 101.17/27.19 % (1116124)Instruction limit reached!
% 101.17/27.19 % (1116124)------------------------------
% 101.17/27.19 % (1116124)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116124)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116124)Termination reason: Instruction limit
% 101.17/27.19 % (1116124)Termination phase: Saturation
% 101.17/27.19 % (1116124)Time elapsed: 2.807 s
% 101.17/27.19 % (1116124)Peak memory usage: 43 MB
% 101.17/27.19 % (1116124)Instructions burned: 5133 (million)
% 101.17/27.19 % (1116197)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3273996207:i=54282_2954 on theBenchmark for (2954ds/54282Mi)
% 101.17/27.19 % TRYING [1]
% 101.17/27.19 % TRYING [2]
% 101.17/27.19 % TRYING [3]
% 101.17/27.19 % TRYING [4]
% 101.17/27.19 % TRYING [5]
% 101.17/27.19 % (1116029)Instruction limit reached!
% 101.17/27.19 % (1116029)------------------------------
% 101.17/27.19 % (1116029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116029)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116029)Termination reason: Instruction limit
% 101.17/27.19 % (1116029)Termination phase: Finite model building constraint generation
% 101.17/27.19 % (1116029)Time elapsed: 3.449 s
% 101.17/27.19 % (1116029)Peak memory usage: 669 MB
% 101.17/27.19 % (1116029)Instructions burned: 9517 (million)
% 101.17/27.19 % (1116199)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=479604175:i=3512:aac=none_2950 on theBenchmark for (2950ds/3512Mi)
% 101.17/27.19 % TRYING [6]
% 101.17/27.19 % (1116195)Instruction limit reached!
% 101.17/27.19 % (1116195)------------------------------
% 101.17/27.19 % (1116195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116195)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116195)Termination reason: Instruction limit
% 101.17/27.19 % (1116195)Termination phase: Saturation
% 101.17/27.19 % (1116195)Time elapsed: 2.716 s
% 101.17/27.19 % (1116195)Peak memory usage: 78 MB
% 101.17/27.19 % (1116195)Instructions burned: 5115 (million)
% 101.17/27.19 % (1116201)dis+21_1_sil=32000:sas=cadical:random_seed=303262109:i=3773:amm=off_2933 on theBenchmark for (2933ds/3773Mi)
% 101.17/27.19 % (1116199)Instruction limit reached!
% 101.17/27.19 % (1116199)------------------------------
% 101.17/27.19 % (1116199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116199)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116199)Termination reason: Instruction limit
% 101.17/27.19 % (1116199)Termination phase: Saturation
% 101.17/27.19 % (1116199)Time elapsed: 1.909 s
% 101.17/27.19 % (1116199)Peak memory usage: 41 MB
% 101.17/27.19 % (1116199)Instructions burned: 3514 (million)
% 101.17/27.19 % (1116203)ott+11_1_sil=16000:gs=on:random_seed=777096881:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2930 on theBenchmark for (2930ds/2251Mi)
% 101.17/27.19 % (1116203)Instruction limit reached!
% 101.17/27.19 % (1116203)------------------------------
% 101.17/27.19 % (1116203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116203)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116203)Termination reason: Instruction limit
% 101.17/27.19 % (1116203)Termination phase: Saturation
% 101.17/27.19 % (1116203)Time elapsed: 1.209 s
% 101.17/27.19 % (1116203)Peak memory usage: 33 MB
% 101.17/27.19 % (1116203)Instructions burned: 2252 (million)
% 101.17/27.19 % (1116205)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=498509010:fmbsr=1.6:i=67534_2918 on theBenchmark for (2918ds/67534Mi)
% 101.17/27.19 % TRYING [7]
% 101.17/27.19 % (1116026)Instruction limit reached!
% 101.17/27.19 % (1116026)------------------------------
% 101.17/27.19 % (1116026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116026)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116026)Termination reason: Instruction limit
% 101.17/27.19 % (1116026)Termination phase: Finite model building SAT solving
% 101.17/27.19 % (1116026)Time elapsed: 7.180 s
% 101.17/27.19 % (1116026)Peak memory usage: 30 MB
% 101.17/27.19 % (1116026)Instructions burned: 22062 (million)
% 101.17/27.19 % (1116207)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=2425910421:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2915 on theBenchmark for (2915ds/4591Mi)
% 101.17/27.19 % (1116201)Instruction limit reached!
% 101.17/27.19 % (1116201)------------------------------
% 101.17/27.19 % (1116201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116201)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116201)Termination reason: Instruction limit
% 101.17/27.19 % (1116201)Termination phase: Saturation
% 101.17/27.19 % (1116201)Time elapsed: 2.074 s
% 101.17/27.19 % (1116201)Peak memory usage: 50 MB
% 101.17/27.19 % (1116201)Instructions burned: 3773 (million)
% 101.17/27.19 % (1116209)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3201469949:i=29340_2912 on theBenchmark for (2912ds/29340Mi)
% 101.17/27.19 % TRYING [6]
% 101.17/27.19 % (1116207)Instruction limit reached!
% 101.17/27.19 % (1116207)------------------------------
% 101.17/27.19 % (1116207)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116207)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116207)Termination reason: Instruction limit
% 101.17/27.19 % (1116207)Termination phase: Saturation
% 101.17/27.19 % (1116207)Time elapsed: 1.082 s
% 101.17/27.19 % (1116207)Peak memory usage: 41 MB
% 101.17/27.19 % (1116207)Instructions burned: 4593 (million)
% 101.17/27.19 % (1116211)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=2609569684:i=5211_2904 on theBenchmark for (2904ds/5211Mi)
% 101.17/27.19 % (1116211)Instruction limit reached!
% 101.17/27.19 % (1116211)------------------------------
% 101.17/27.19 % (1116211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116211)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116211)Termination reason: Instruction limit
% 101.17/27.19 % (1116211)Termination phase: Saturation
% 101.17/27.19 % (1116211)Time elapsed: 1.546 s
% 101.17/27.19 % (1116211)Peak memory usage: 55 MB
% 101.17/27.19 % (1116211)Instructions burned: 5214 (million)
% 101.17/27.19 % (1116213)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=2873126144:i=5497:nm=2_2889 on theBenchmark for (2889ds/5497Mi)
% 101.17/27.19 % TRYING [17]
% 101.17/27.19 % (1116213)Instruction limit reached!
% 101.17/27.19 % (1116213)------------------------------
% 101.17/27.19 % (1116213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116213)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116213)Termination reason: Instruction limit
% 101.17/27.19 % (1116213)Termination phase: Finite model building constraint generation
% 101.17/27.19 % (1116213)Time elapsed: 1.098 s
% 101.17/27.19 % (1116213)Peak memory usage: 400 MB
% 101.17/27.19 % (1116213)Instructions burned: 5499 (million)
% 101.17/27.19 % (1116215)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1099345773:fmbsr=2:i=46332_2877 on theBenchmark for (2877ds/46332Mi)
% 101.17/27.19 % TRYING [15]
% 101.17/27.19 % TRYING [7]
% 101.17/27.19 % TRYING [7]
% 101.17/27.19 % (1116209) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1115987-1116209"...
% 101.17/27.19 % (1116209)...printing done.
% 101.17/27.19 % (1116209)Refutation found. Thanks to Tanya!
% 101.17/27.19 % SZS status Unsatisfiable for theBenchmark
% 101.17/27.19 % SZS output start Proof for theBenchmark
% See solution above
% 101.17/27.19 % (1116209)------------------------------
% 101.17/27.19 % (1116209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 101.17/27.19 % (1116209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 101.17/27.19 % (1116209)CaDiCaL version: 2.1.3
% 101.17/27.19 % (1116209)Termination reason: Refutation
% 101.17/27.19 % (1116209)Time elapsed: 17.556 s
% 101.17/27.19 % (1116209)Peak memory usage: 314 MB
% 101.17/27.19 % (1116209)Instructions burned: 28578 (million)
% 101.17/27.19 % (1115987)Success in time 26.636 s
% 101.17/27.19 % Vampire exiting
%------------------------------------------------------------------------------