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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n001.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 11:57:30 AM UTC 2026

% Result   : Unsatisfiable 70.26s 17.06s
% Output   : Refutation 70.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   99 (  99 unt;   0 def)
%            Number of atoms       :   99 (  98 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-4 aty)
%            Number of variables   :  265 ( 265   !;   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(implies(a,implies(b,c)),implies(b,implies(a,c)))) != true,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_21) ).

fof(f11,plain,
    true != is_a_theorem(implies(implies(a,implies(b,c)),implies(b,implies(a,c)))),
    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(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(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(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(f583,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,[],[f583,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(f1541,plain,
    ! [X2,X3,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(implies(not(X0),X1),X2),X3))),true),
    inference(superposition,[],[f25,f122]) ).

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(f1623,plain,
    ! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X0,X2),X3),implies(implies(implies(not(X0),X1),X2),X3))),
    inference(forward_demodulation,[],[f1541,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(f1632,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,[],[f1632,f1]) ).

fof(f1679,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(f1715,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X0,X2))),
    inference(forward_demodulation,[],[f1679,f1]) ).

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,f1715]) ).

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(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(f2340,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(f2378,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(not(X1),X1),X1),X2),implies(X0,X2))),
    inference(forward_demodulation,[],[f2340,f1]) ).

fof(f5613,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),true),
    inference(superposition,[],[f23,f1623]) ).

fof(f5665,plain,
    ! [X0,X1] : true = is_a_theorem(implies(implies(implies(not(not(X0)),X1),X0),X0)),
    inference(forward_demodulation,[],[f5613,f1]) ).

fof(f5673,plain,
    ! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(not(not(X0)),X1),X0),X0),X2)),true,ifeq(true,true,is_a_theorem(X2),true),true),
    inference(superposition,[],[f3,f5665]) ).

fof(f5703,plain,
    ! [X2,X0,X1] : true = ifeq(is_a_theorem(implies(implies(implies(implies(not(not(X0)),X1),X0),X0),X2)),true,is_a_theorem(X2),true),
    inference(forward_demodulation,[],[f5673,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(f41460,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,[],[f41460,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(f96773,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,f2378]) ).

fof(f97599,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X2,implies(X1,X0)))),
    inference(forward_demodulation,[],[f96773,f1]) ).

fof(f100716,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X2,implies(X0,X1)))),true),
    inference(superposition,[],[f43080,f97599]) ).

fof(f100734,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,f97599]) ).

fof(f100889,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(X2,implies(implies(X0,X1),X1)))),
    inference(forward_demodulation,[],[f100734,f1]) ).

fof(f100902,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(X1,implies(X2,implies(X0,X1)))),
    inference(forward_demodulation,[],[f100716,f1]) ).

fof(f100963,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,f100902]) ).

fof(f101093,plain,
    ! [X2,X3,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,implies(X2,X0)),X3),implies(X0,X3))),
    inference(forward_demodulation,[],[f100963,f1]) ).

fof(f103486,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(X0,X1))),true),
    inference(superposition,[],[f5703,f101093]) ).

fof(f103659,plain,
    ! [X0,X1] : true = is_a_theorem(implies(X1,implies(X0,X1))),
    inference(forward_demodulation,[],[f103486,f1]) ).

fof(f103724,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),true),
    inference(superposition,[],[f25,f103659]) ).

fof(f103856,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(X1,X0),X2),implies(X0,X2))),
    inference(forward_demodulation,[],[f103724,f1]) ).

fof(f106614,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,f103856]) ).

fof(f106738,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,[],[f106614,f1]) ).

fof(f114667,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,f100889]) ).

fof(f114816,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(X2,implies(implies(implies(implies(not(X1),X1),X1),X0),X0))),
    inference(forward_demodulation,[],[f114667,f1]) ).

fof(f117451,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),true),
    inference(superposition,[],[f26,f114816]) ).

fof(f117565,plain,
    ! [X0,X1] : true = is_a_theorem(implies(implies(implies(implies(not(X0),X0),X0),X1),X1)),
    inference(forward_demodulation,[],[f117451,f1]) ).

fof(f117622,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X1,X0))),true),
    inference(superposition,[],[f13263,f117565]) ).

fof(f117800,plain,
    ! [X0,X1] : true = is_a_theorem(implies(implies(X1,implies(not(X0),X0)),implies(X1,X0))),
    inference(forward_demodulation,[],[f117622,f1]) ).

fof(f117822,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(not(X1),X0),implies(implies(X0,X1),X1))),true),
    inference(superposition,[],[f13263,f117800]) ).

fof(f117990,plain,
    ! [X0,X1] : true = is_a_theorem(implies(implies(not(X1),X0),implies(implies(X0,X1),X1))),
    inference(forward_demodulation,[],[f117822,f1]) ).

fof(f126645,plain,
    ! [X0,X1] : true = ifeq(true,true,is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),true),
    inference(superposition,[],[f106738,f117990]) ).

fof(f127691,plain,
    ! [X0,X1] : true = is_a_theorem(implies(X1,implies(implies(X1,X0),X0))),
    inference(forward_demodulation,[],[f126645,f1]) ).

fof(f127973,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,f127691]) ).

fof(f128118,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(forward_demodulation,[],[f127973,f1]) ).

fof(f133757,plain,
    ! [X2,X0,X1] : true = ifeq(true,true,is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),true),
    inference(superposition,[],[f13263,f128118]) ).

fof(f133947,plain,
    ! [X2,X0,X1] : true = is_a_theorem(implies(implies(X2,implies(X0,X1)),implies(X0,implies(X2,X1)))),
    inference(forward_demodulation,[],[f133757,f1]) ).

fof(f151167,plain,
    true != true,
    inference(superposition,[],[f11,f133947]) ).

fof(f151289,plain,
    $false,
    inference(trivial_inequality_removal,[],[f151167]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL050-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.23/0.49  % Computer : n001.cluster.edu
% 0.23/0.49  % Model    : x86_64 x86_64
% 0.23/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.49  % Memory   : 8046.5625MB
% 0.23/0.49  % OS       : Linux 6.8.0-71-generic
% 0.23/0.49  % CPULimit : 300
% 0.23/0.49  % WCLimit  : 300
% 0.23/0.49  % DateTime : Sun Sep 27 15:24:46 UTC 2026
% 0.23/0.50  % CPUTime  : 
% 0.23/0.50  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.55  Running first-order model finding
% 0.27/0.55  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
% 22.26/3.85  % (3700914)Will run a generic schedule for satisfiability detection.
% 22.26/3.85  % (3700923)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2716663663:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 22.26/3.85  % (3700920)% WARNING: option uhcvi not known.
% 22.26/3.85  % (3700919)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1089117278_2999 on theBenchmark for (2999ds/0Mi)
% 22.26/3.85  % (3700924)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1847264209:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 22.26/3.85  % (3700920)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3187016250:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 22.26/3.85  % (3700922)dis+10_1_sil=32000:sp=arity:random_seed=4084545396:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 22.26/3.85  % (3700921)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2083478901:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 22.26/3.85  % (3700925)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1619794464:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 22.26/3.85  % TRYING [1]
% 22.26/3.85  % TRYING [2]
% 22.26/3.85  % TRYING [3]
% 22.26/3.85  % (3700923)Instruction limit reached! 
% 22.26/3.85  % (3700923)------------------------------
% 22.26/3.85  % (3700923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.85  % (3700923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.85  % (3700923)CaDiCaL version: 2.1.3
% 22.26/3.85  % (3700923)Termination reason: Instruction limit
% 22.26/3.85  % (3700923)Termination phase: Saturation
% 22.26/3.85  % (3700923)Time elapsed: 0.055 s
% 22.26/3.85  % (3700923)Peak memory usage: 12 MB
% 22.26/3.85  % (3700923)Instructions burned: 117 (million)
% 22.26/3.85  % TRYING [4]
% 22.26/3.85  % (3700933)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1593480539:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 22.26/3.85  % TRYING [1]
% 22.26/3.85  % TRYING [2]
% 22.26/3.85  % TRYING [3]
% 22.26/3.85  % (3700922)Instruction limit reached! 
% 22.26/3.85  % (3700922)------------------------------
% 22.26/3.85  % (3700922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.85  % (3700922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.85  % (3700922)CaDiCaL version: 2.1.3
% 22.26/3.85  % (3700922)Termination reason: Instruction limit
% 22.26/3.85  % (3700922)Termination phase: Saturation
% 22.26/3.85  % (3700922)Time elapsed: 0.095 s
% 22.26/3.85  % (3700922)Peak memory usage: 12 MB
% 22.26/3.85  % (3700922)Instructions burned: 103 (million)
% 22.26/3.85  % (3700924)Instruction limit reached! 
% 22.26/3.85  % (3700924)------------------------------
% 22.26/3.85  % (3700924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.85  % (3700924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.85  % (3700924)CaDiCaL version: 2.1.3
% 22.26/3.85  % (3700924)Termination reason: Instruction limit
% 22.26/3.85  % (3700924)Termination phase: Saturation
% 22.26/3.85  % (3700924)Time elapsed: 0.116 s
% 22.26/3.85  % (3700924)Peak memory usage: 12 MB
% 22.26/3.85  % (3700924)Instructions burned: 131 (million)
% 22.26/3.85  % (3700935)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4055873549:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 22.26/3.85  % (3700925)Instruction limit reached! 
% 22.26/3.85  % (3700925)------------------------------
% 22.26/3.85  % (3700925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.85  % (3700925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.26/3.85  % (3700925)CaDiCaL version: 2.1.3
% 22.26/3.85  % (3700925)Termination reason: Instruction limit
% 22.26/3.85  % (3700925)Termination phase: Saturation
% 22.26/3.85  % (3700925)Time elapsed: 0.150 s
% 22.26/3.85  % (3700925)Peak memory usage: 12 MB
% 22.26/3.85  % (3700925)Instructions burned: 159 (million)
% 22.26/3.85  % (3700936)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=4224829226:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 22.26/3.85  % TRYING [4]
% 22.26/3.85  % (3700938)ott-21_1_sil=16000:fs=off:random_seed=3854038460:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 22.26/3.85  % (3700935)Instruction limit reached! 
% 22.26/3.85  % (3700935)------------------------------
% 22.26/3.85  % (3700935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.26/3.85  % (3700935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700935)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700935)Termination reason: Instruction limit
% 35.48/6.17  % (3700935)Termination phase: Saturation
% 35.48/6.17  % (3700935)Time elapsed: 0.130 s
% 35.48/6.17  % (3700935)Peak memory usage: 13 MB
% 35.48/6.17  % (3700935)Instructions burned: 131 (million)
% 35.48/6.17  % (3700941)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2369772867:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 35.48/6.17  % (3700938)Instruction limit reached! 
% 35.48/6.17  % (3700938)------------------------------
% 35.48/6.17  % (3700938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700938)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700938)Termination reason: Instruction limit
% 35.48/6.17  % (3700938)Termination phase: Saturation
% 35.48/6.17  % (3700938)Time elapsed: 0.155 s
% 35.48/6.17  % (3700938)Peak memory usage: 11 MB
% 35.48/6.17  % (3700938)Instructions burned: 180 (million)
% 35.48/6.17  % (3700943)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2690175241:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 35.48/6.17  % TRYING [1]
% 35.48/6.17  % TRYING [2]
% 35.48/6.17  % TRYING [3]
% 35.48/6.17  % TRYING [4]
% 35.48/6.17  % (3700933)Instruction limit reached! 
% 35.48/6.17  % (3700933)------------------------------
% 35.48/6.17  % (3700933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700933)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700933)Termination reason: Instruction limit
% 35.48/6.17  % (3700933)Termination phase: Finite model building SAT solving
% 35.48/6.17  % (3700933)Time elapsed: 0.473 s
% 35.48/6.17  % (3700933)Peak memory usage: 14 MB
% 35.48/6.17  % (3700933)Instructions burned: 714 (million)
% 35.48/6.17  % (3700945)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3677439857:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 35.48/6.17  % (3700941)Instruction limit reached! 
% 35.48/6.17  % (3700941)------------------------------
% 35.48/6.17  % (3700941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700941)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700941)Termination reason: Instruction limit
% 35.48/6.17  % (3700941)Termination phase: Saturation
% 35.48/6.17  % (3700941)Time elapsed: 0.444 s
% 35.48/6.17  % (3700941)Peak memory usage: 16 MB
% 35.48/6.17  % (3700941)Instructions burned: 480 (million)
% 35.48/6.17  % (3700936)Instruction limit reached! 
% 35.48/6.17  % (3700936)------------------------------
% 35.48/6.17  % (3700936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700936)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700936)Termination reason: Instruction limit
% 35.48/6.17  % (3700936)Termination phase: Saturation
% 35.48/6.17  % (3700936)Time elapsed: 0.616 s
% 35.48/6.17  % (3700936)Peak memory usage: 17 MB
% 35.48/6.17  % (3700936)Instructions burned: 684 (million)
% 35.48/6.17  % (3700947)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4105945084:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 35.48/6.17  % (3700948)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=1895415586: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)
% 35.48/6.17  % (3700945)Instruction limit reached! 
% 35.48/6.17  % (3700945)------------------------------
% 35.48/6.17  % (3700945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700945)CaDiCaL version: 2.1.3
% 35.48/6.17  % (3700945)Termination reason: Instruction limit
% 35.48/6.17  % (3700945)Termination phase: Saturation
% 35.48/6.17  % (3700945)Time elapsed: 0.568 s
% 35.48/6.17  % (3700945)Peak memory usage: 29 MB
% 35.48/6.17  % (3700945)Instructions burned: 1180 (million)
% 35.48/6.17  % (3700943)Instruction limit reached! 
% 35.48/6.17  % (3700943)------------------------------
% 35.48/6.17  % (3700943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 35.48/6.17  % (3700943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.48/6.17  % (3700943)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700943)Termination reason: Instruction limit
% 70.26/17.06  % (3700943)Termination phase: Finite model building SAT solving
% 70.26/17.06  % (3700943)Time elapsed: 0.775 s
% 70.26/17.06  % (3700943)Peak memory usage: 12 MB
% 70.26/17.06  % (3700943)Instructions burned: 869 (million)
% 70.26/17.06  % (3700951)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1517359827:i=879:kws=inv_precedence:fsr=off_2987 on theBenchmark for (2987ds/879Mi)
% 70.26/17.06  % (3700952)fmb+10_1_sil=64000:random_seed=1835476482:i=22061:nm=2:gsp=on_2987 on theBenchmark for (2987ds/22061Mi)
% 70.26/17.06  % TRYING [1]
% 70.26/17.06  % TRYING [2]
% 70.26/17.06  % TRYING [3]
% 70.26/17.06  % TRYING [4]
% 70.26/17.06  % TRYING [5]
% 70.26/17.06  % TRYING [14]
% 70.26/17.06  % (3700948)Instruction limit reached! 
% 70.26/17.06  % (3700948)------------------------------
% 70.26/17.06  % (3700948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700948)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700948)Termination reason: Instruction limit
% 70.26/17.06  % (3700948)Termination phase: Saturation
% 70.26/17.06  % (3700948)Time elapsed: 0.631 s
% 70.26/17.06  % (3700948)Peak memory usage: 18 MB
% 70.26/17.06  % (3700948)Instructions burned: 693 (million)
% 70.26/17.06  % (3700955)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=964863357:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 70.26/17.06  % TRYING [20]
% 70.26/17.06  % (3700947)Instruction limit reached! 
% 70.26/17.06  % (3700947)------------------------------
% 70.26/17.06  % (3700947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700947)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700947)Termination reason: Instruction limit
% 70.26/17.06  % (3700947)Termination phase: Finite model building constraint generation
% 70.26/17.06  % (3700947)Time elapsed: 0.762 s
% 70.26/17.06  % (3700947)Peak memory usage: 99 MB
% 70.26/17.06  % (3700947)Instructions burned: 891 (million)
% 70.26/17.06  % (3700957)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3469778035:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 70.26/17.06  % TRYING [8]
% 70.26/17.06  % (3700951)Instruction limit reached! 
% 70.26/17.06  % (3700951)------------------------------
% 70.26/17.06  % (3700951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700951)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700951)Termination reason: Instruction limit
% 70.26/17.06  % (3700951)Termination phase: Saturation
% 70.26/17.06  % (3700951)Time elapsed: 0.460 s
% 70.26/17.06  % (3700951)Peak memory usage: 19 MB
% 70.26/17.06  % (3700951)Instructions burned: 881 (million)
% 70.26/17.06  % (3700959)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3944833219:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 70.26/17.06  % (3700957)Instruction limit reached! 
% 70.26/17.06  % (3700957)------------------------------
% 70.26/17.06  % (3700957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700957)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700957)Termination reason: Instruction limit
% 70.26/17.06  % (3700957)Termination phase: Finite model building SAT solving
% 70.26/17.06  % (3700957)Time elapsed: 0.762 s
% 70.26/17.06  % (3700957)Peak memory usage: 62 MB
% 70.26/17.06  % (3700957)Instructions burned: 920 (million)
% 70.26/17.06  % TRYING [5]
% 70.26/17.06  % (3700970)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2922516365:i=1472:ins=7:fdi=8:gsp=on_2975 on theBenchmark for (2975ds/1472Mi)
% 70.26/17.06  % (3700970)Instruction limit reached! 
% 70.26/17.06  % (3700970)------------------------------
% 70.26/17.06  % (3700970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700970)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700970)Termination reason: Instruction limit
% 70.26/17.06  % (3700970)Termination phase: Saturation
% 70.26/17.06  % (3700970)Time elapsed: 0.726 s
% 70.26/17.06  % (3700970)Peak memory usage: 23 MB
% 70.26/17.06  % (3700970)Instructions burned: 1472 (million)
% 70.26/17.06  % (3700972)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1524872073:i=6324_2967 on theBenchmark for (2967ds/6324Mi)
% 70.26/17.06  % (3700972)Cannot represent all propositional literals internally
% 70.26/17.06  % (3700972)Refutation not found, incomplete strategy
% 70.26/17.06  % (3700972)------------------------------
% 70.26/17.06  % (3700972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700972)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700972)Termination reason: Refutation not found, incomplete strategy
% 70.26/17.06  % (3700972)Time elapsed: 0.001 s
% 70.26/17.06  % (3700972)Peak memory usage: 10 MB
% 70.26/17.06  % (3700972)Instructions burned: 2 (million)
% 70.26/17.06  % (3700972)------------------------------
% 70.26/17.06  % (3700972)------------------------------
% 70.26/17.06  % (3700974)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1525968729:fmbsr=2.30978:i=2174_2967 on theBenchmark for (2967ds/2174Mi)
% 70.26/17.06  % TRYING [16]
% 70.26/17.06  % (3700959)Instruction limit reached! 
% 70.26/17.06  % (3700959)------------------------------
% 70.26/17.06  % (3700959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700959)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700959)Termination reason: Instruction limit
% 70.26/17.06  % (3700959)Termination phase: Saturation
% 70.26/17.06  % (3700959)Time elapsed: 1.857 s
% 70.26/17.06  % (3700959)Peak memory usage: 43 MB
% 70.26/17.06  % (3700959)Instructions burned: 5133 (million)
% 70.26/17.06  % (3700976)ott-2_1_sil=16000:newcnf=on:random_seed=2810759865:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2963 on theBenchmark for (2963ds/869Mi)
% 70.26/17.06  % (3700976)Instruction limit reached! 
% 70.26/17.06  % (3700976)------------------------------
% 70.26/17.06  % (3700976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700976)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700976)Termination reason: Instruction limit
% 70.26/17.06  % (3700976)Termination phase: Saturation
% 70.26/17.06  % (3700976)Time elapsed: 0.260 s
% 70.26/17.06  % (3700976)Peak memory usage: 21 MB
% 70.26/17.06  % (3700976)Instructions burned: 870 (million)
% 70.26/17.06  % (3700980)ott+10_1_sil=32000:tgt=ground:random_seed=1086778892:i=5114:av=off_2961 on theBenchmark for (2961ds/5114Mi)
% 70.26/17.06  % (3700974)Instruction limit reached! 
% 70.26/17.06  % (3700974)------------------------------
% 70.26/17.06  % (3700974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700974)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700974)Termination reason: Instruction limit
% 70.26/17.06  % (3700974)Termination phase: Finite model building constraint generation
% 70.26/17.06  % (3700974)Time elapsed: 0.726 s
% 70.26/17.06  % (3700974)Peak memory usage: 134 MB
% 70.26/17.06  % (3700974)Instructions burned: 2176 (million)
% 70.26/17.06  % (3701003)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3085295986:i=54282_2959 on theBenchmark for (2959ds/54282Mi)
% 70.26/17.06  % TRYING [1]
% 70.26/17.06  % TRYING [2]
% 70.26/17.06  % TRYING [3]
% 70.26/17.06  % TRYING [4]
% 70.26/17.06  % TRYING [5]
% 70.26/17.06  % (3700980)Instruction limit reached! 
% 70.26/17.06  % (3700980)------------------------------
% 70.26/17.06  % (3700980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700980)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700980)Termination reason: Instruction limit
% 70.26/17.06  % (3700980)Termination phase: Saturation
% 70.26/17.06  % (3700980)Time elapsed: 1.437 s
% 70.26/17.06  % (3700980)Peak memory usage: 80 MB
% 70.26/17.06  % (3700980)Instructions burned: 5117 (million)
% 70.26/17.06  % (3701136)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2581417024:i=3512:aac=none_2946 on theBenchmark for (2946ds/3512Mi)
% 70.26/17.06  % (3700955)Instruction limit reached! 
% 70.26/17.06  % (3700955)------------------------------
% 70.26/17.06  % (3700955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700955)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700955)Termination reason: Instruction limit
% 70.26/17.06  % (3700955)Termination phase: Finite model building constraint generation
% 70.26/17.06  % (3700955)Time elapsed: 3.945 s
% 70.26/17.06  % (3700955)Peak memory usage: 669 MB
% 70.26/17.06  % (3700955)Instructions burned: 9518 (million)
% 70.26/17.06  % (3701138)dis+21_1_sil=32000:sas=cadical:random_seed=3683831055:i=3773:amm=off_2944 on theBenchmark for (2944ds/3773Mi)
% 70.26/17.06  % (3701136)Instruction limit reached! 
% 70.26/17.06  % (3701136)------------------------------
% 70.26/17.06  % (3701136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3701136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3701136)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3701136)Termination reason: Instruction limit
% 70.26/17.06  % (3701136)Termination phase: Saturation
% 70.26/17.06  % (3701136)Time elapsed: 1.034 s
% 70.26/17.06  % (3701136)Peak memory usage: 41 MB
% 70.26/17.06  % (3701136)Instructions burned: 3513 (million)
% 70.26/17.06  % (3701140)ott+11_1_sil=16000:gs=on:random_seed=3192607984:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2936 on theBenchmark for (2936ds/2251Mi)
% 70.26/17.06  % (3701140)Instruction limit reached! 
% 70.26/17.06  % (3701140)------------------------------
% 70.26/17.06  % (3701140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3701140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3701140)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3701140)Termination reason: Instruction limit
% 70.26/17.06  % (3701140)Termination phase: Saturation
% 70.26/17.06  % (3701140)Time elapsed: 0.661 s
% 70.26/17.06  % (3701140)Peak memory usage: 33 MB
% 70.26/17.06  % (3701140)Instructions burned: 2255 (million)
% 70.26/17.06  % (3701142)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=4140288923:fmbsr=1.6:i=67534_2929 on theBenchmark for (2929ds/67534Mi)
% 70.26/17.06  % TRYING [7]
% 70.26/17.06  % (3701138)Instruction limit reached! 
% 70.26/17.06  % (3701138)------------------------------
% 70.26/17.06  % (3701138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3701138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3701138)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3701138)Termination reason: Instruction limit
% 70.26/17.06  % (3701138)Termination phase: Saturation
% 70.26/17.06  % (3701138)Time elapsed: 2.106 s
% 70.26/17.06  % (3701138)Peak memory usage: 50 MB
% 70.26/17.06  % (3701138)Instructions burned: 3773 (million)
% 70.26/17.06  % (3701144)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1769520793:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2922 on theBenchmark for (2922ds/4591Mi)
% 70.26/17.06  % (3701144)Instruction limit reached! 
% 70.26/17.06  % (3701144)------------------------------
% 70.26/17.06  % (3701144)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3701144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3701144)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3701144)Termination reason: Instruction limit
% 70.26/17.06  % (3701144)Termination phase: Saturation
% 70.26/17.06  % (3701144)Time elapsed: 2.157 s
% 70.26/17.06  % (3701144)Peak memory usage: 50 MB
% 70.26/17.06  % (3701144)Instructions burned: 4592 (million)
% 70.26/17.06  % (3701146)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=3870440316:i=29340_2901 on theBenchmark for (2901ds/29340Mi)
% 70.26/17.06  % (3700952)Instruction limit reached! 
% 70.26/17.06  % (3700952)------------------------------
% 70.26/17.06  % (3700952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3700952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3700952)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3700952)Termination reason: Instruction limit
% 70.26/17.06  % (3700952)Termination phase: Finite model building SAT solving
% 70.26/17.06  % (3700952)Time elapsed: 13.952 s
% 70.26/17.06  % (3700952)Peak memory usage: 18 MB
% 70.26/17.06  % (3700952)Instructions burned: 22062 (million)
% 70.26/17.06  % (3701194)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3447863212:i=5211_2847 on theBenchmark for (2847ds/5211Mi)
% 70.26/17.06  % (3701146) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3700914-3701146"...
% 70.26/17.06  % (3701146)...printing done.
% 70.26/17.06  % (3701146)Refutation found. Thanks to Tanya!
% 70.26/17.06  % SZS status Unsatisfiable for theBenchmark
% 70.26/17.06  % SZS output start Proof for theBenchmark
% See solution above
% 70.26/17.06  % (3701146)------------------------------
% 70.26/17.06  % (3701146)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 70.26/17.06  % (3701146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.26/17.06  % (3701146)CaDiCaL version: 2.1.3
% 70.26/17.06  % (3701146)Termination reason: Refutation
% 70.26/17.06  % (3701146)Time elapsed: 6.533 s
% 70.26/17.06  % (3701146)Peak memory usage: 108 MB
% 70.26/17.06  % (3701146)Instructions burned: 11439 (million)
% 70.26/17.06  % (3700914)Success in time 16.497 s
% 70.26/17.06  % Vampire exiting
%------------------------------------------------------------------------------