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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL254-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 11:51:47 AM UTC 2026

% Result   : Unsatisfiable 8.45s 3.31s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  146 ( 103 unt;  18 def)
%            Number of atoms       :  199 (  38 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  114 (  61   ~;  53   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  22 con; 0-2 aty)
%            Number of variables   :  128 ( 128   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_3) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_4) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_5) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_6) ).

fof(f6,axiom,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',implies_definition) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ axiom(X0)
      | theorem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(implies(X1,X0))
      | ~ theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_2) ).

fof(f9,axiom,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_defn) ).

fof(f10,negated_conjecture,
    ~ theorem(implies(and(implies(p,r),implies(q,s)),implies(and(p,q),and(r,s)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f11,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f12,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f13,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f14,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f15,plain,
    ! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(definition_unfolding,[],[f5,f6,f6,f6]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),X0))
      | theorem(X0)
      | ~ theorem(X1) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f17,plain,
    ~ theorem(or(not(not(or(not(or(not(p),r)),not(or(not(q),s))))),or(not(not(or(not(p),not(q)))),not(or(not(r),not(s)))))),
    inference(definition_unfolding,[],[f10,f6,f9,f6,f6,f6,f9,f9]) ).

fof(f18,definition,
    sF0 = not(p),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f19,plain,
    not(p) = sF0,
    inference(reorient_equations,[],[f18]) ).

fof(f20,definition,
    sF1 = or(sF0,r),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f21,plain,
    or(sF0,r) = sF1,
    inference(reorient_equations,[],[f20]) ).

fof(f22,definition,
    sF2 = not(sF1),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f23,plain,
    not(sF1) = sF2,
    inference(reorient_equations,[],[f22]) ).

fof(f24,definition,
    sF3 = not(q),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f25,plain,
    not(q) = sF3,
    inference(reorient_equations,[],[f24]) ).

fof(f26,definition,
    sF4 = or(sF3,s),
    introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).

fof(f27,plain,
    or(sF3,s) = sF4,
    inference(reorient_equations,[],[f26]) ).

fof(f28,definition,
    sF5 = not(sF4),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f29,plain,
    not(sF4) = sF5,
    inference(reorient_equations,[],[f28]) ).

fof(f30,definition,
    sF6 = or(sF2,sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f31,plain,
    or(sF2,sF5) = sF6,
    inference(reorient_equations,[],[f30]) ).

fof(f32,definition,
    sF7 = not(sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f33,plain,
    not(sF6) = sF7,
    inference(reorient_equations,[],[f32]) ).

fof(f34,definition,
    sF8 = not(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f35,plain,
    not(sF7) = sF8,
    inference(reorient_equations,[],[f34]) ).

fof(f36,definition,
    sF9 = or(sF0,sF3),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f37,plain,
    or(sF0,sF3) = sF9,
    inference(reorient_equations,[],[f36]) ).

fof(f38,definition,
    sF10 = not(sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f39,plain,
    not(sF9) = sF10,
    inference(reorient_equations,[],[f38]) ).

fof(f40,definition,
    sF11 = not(sF10),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f41,plain,
    not(sF10) = sF11,
    inference(reorient_equations,[],[f40]) ).

fof(f42,definition,
    sF12 = not(r),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f43,plain,
    not(r) = sF12,
    inference(reorient_equations,[],[f42]) ).

fof(f44,definition,
    sF13 = not(s),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f45,plain,
    not(s) = sF13,
    inference(reorient_equations,[],[f44]) ).

fof(f46,definition,
    sF14 = or(sF12,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f47,plain,
    or(sF12,sF13) = sF14,
    inference(reorient_equations,[],[f46]) ).

fof(f48,definition,
    sF15 = not(sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f49,plain,
    not(sF14) = sF15,
    inference(reorient_equations,[],[f48]) ).

fof(f50,definition,
    sF16 = or(sF11,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f51,plain,
    or(sF11,sF15) = sF16,
    inference(reorient_equations,[],[f50]) ).

fof(f52,definition,
    sF17 = or(sF8,sF16),
    introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).

fof(f53,plain,
    or(sF8,sF16) = sF17,
    inference(reorient_equations,[],[f52]) ).

fof(f54,plain,
    ~ theorem(sF17),
    inference(definition_folding,[],[f17,f53,f51,f49,f47,f45,f43,f41,f39,f37,f25,f19,f35,f33,f31,f29,f27,f25,f23,f21,f19]) ).

fof(f55,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f15,f7]) ).

fof(f68,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f14,f7]) ).

fof(f83,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f16,f55]) ).

fof(f84,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f16,f68]) ).

fof(f176,plain,
    ! [X0] : theorem(or(not(or(sF11,or(X0,sF15))),or(X0,sF16))),
    inference(superposition,[],[f68,f51]) ).

fof(f259,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f13,f7]) ).

fof(f279,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f259,f16]) ).

fof(f281,plain,
    theorem(or(not(sF1),or(r,sF0))),
    inference(superposition,[],[f259,f21]) ).

fof(f284,plain,
    theorem(or(not(sF4),or(s,sF3))),
    inference(superposition,[],[f259,f27]) ).

fof(f287,plain,
    theorem(or(not(sF14),or(sF13,sF12))),
    inference(superposition,[],[f259,f47]) ).

fof(f295,plain,
    theorem(or(sF15,or(sF13,sF12))),
    inference(forward_demodulation,[],[f287,f49]) ).

fof(f296,plain,
    theorem(or(sF5,or(s,sF3))),
    inference(forward_demodulation,[],[f284,f29]) ).

fof(f299,plain,
    theorem(or(sF2,or(r,sF0))),
    inference(forward_demodulation,[],[f281,f23]) ).

fof(f319,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f83,f16]) ).

fof(f344,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(X0,or(X2,or(X1,X3))))
      | theorem(or(X0,or(X1,or(X2,X3)))) ),
    inference(resolution,[],[f319,f68]) ).

fof(f345,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X2,X1)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f319,f259]) ).

fof(f346,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(X0,or(X1,X3)))
      | theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(not(X3),X2)) ),
    inference(resolution,[],[f319,f83]) ).

fof(f353,plain,
    ! [X0,X1] :
      ( ~ theorem(or(sF7,X0))
      | theorem(or(X1,X0))
      | ~ theorem(or(X1,sF6)) ),
    inference(superposition,[],[f319,f33]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ theorem(or(sF10,X0))
      | theorem(or(X1,X0))
      | ~ theorem(or(X1,sF9)) ),
    inference(superposition,[],[f319,f39]) ).

fof(f370,plain,
    ! [X2,X3,X0,X1] :
      ( theorem(or(not(or(X0,or(X1,X2))),or(X1,X3)))
      | ~ theorem(or(not(or(X0,X2)),X3)) ),
    inference(resolution,[],[f346,f68]) ).

fof(f371,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X1,X2)))
      | ~ theorem(or(not(X0),X2)) ),
    inference(resolution,[],[f346,f259]) ).

fof(f384,plain,
    ! [X2,X0,X1] : theorem(or(not(or(or(X0,X1),X2)),or(X0,or(X2,X1)))),
    inference(resolution,[],[f344,f259]) ).

fof(f394,plain,
    ! [X2,X3,X0,X1] :
      ( ~ theorem(or(not(or(X0,X1)),X2))
      | theorem(or(X3,X2))
      | ~ theorem(or(X0,or(X3,X1))) ),
    inference(resolution,[],[f370,f16]) ).

fof(f414,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f12,f7]) ).

fof(f435,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f414,f319]) ).

fof(f438,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X0,X1))),
    inference(resolution,[],[f414,f345]) ).

fof(f454,plain,
    theorem(or(not(sF3),sF9)),
    inference(superposition,[],[f414,f37]) ).

fof(f455,plain,
    theorem(or(not(sF5),sF6)),
    inference(superposition,[],[f414,f31]) ).

fof(f529,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X1)) ),
    inference(resolution,[],[f435,f345]) ).

fof(f537,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF16))
      | theorem(or(X0,sF17)) ),
    inference(superposition,[],[f435,f53]) ).

fof(f540,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f11,f7]) ).

fof(f541,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f540,f319]) ).

fof(f553,plain,
    ! [X0] : theorem(or(not(X0),X0)),
    inference(resolution,[],[f541,f414]) ).

fof(f557,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f371,f16]) ).

fof(f562,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(X0,X1)),X1))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f371,f541]) ).

fof(f623,plain,
    ! [X0] : theorem(or(X0,not(X0))),
    inference(resolution,[],[f553,f279]) ).

fof(f663,plain,
    ! [X0,X1] :
      ( theorem(or(X0,not(not(X1))))
      | ~ theorem(or(X1,X0)) ),
    inference(resolution,[],[f557,f623]) ).

fof(f723,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X0,or(X2,X1)))
      | theorem(or(X2,X1))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f562,f394]) ).

fof(f806,plain,
    ! [X0] :
      ( theorem(or(X0,not(sF7)))
      | ~ theorem(or(X0,sF6)) ),
    inference(resolution,[],[f353,f623]) ).

fof(f807,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF6))
      | theorem(or(X0,sF8)) ),
    inference(forward_demodulation,[],[f806,f35]) ).

fof(f819,plain,
    ! [X0] :
      ( theorem(or(X0,not(sF10)))
      | ~ theorem(or(X0,sF9)) ),
    inference(resolution,[],[f355,f623]) ).

fof(f820,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF9))
      | theorem(or(X0,sF11)) ),
    inference(forward_demodulation,[],[f819,f41]) ).

fof(f855,plain,
    theorem(or(not(sF0),sF9)),
    inference(superposition,[],[f438,f37]) ).

fof(f856,plain,
    theorem(or(not(sF2),sF6)),
    inference(superposition,[],[f438,f31]) ).

fof(f858,plain,
    theorem(or(not(sF8),sF17)),
    inference(superposition,[],[f438,f53]) ).

fof(f859,plain,
    theorem(or(not(sF11),sF16)),
    inference(superposition,[],[f438,f51]) ).

fof(f862,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF8))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f858,f319]) ).

fof(f892,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF11))
      | theorem(or(X0,sF16)) ),
    inference(superposition,[],[f529,f51]) ).

fof(f1025,plain,
    theorem(or(not(sF11),sF17)),
    inference(resolution,[],[f859,f537]) ).

fof(f1029,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF11))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f1025,f319]) ).

fof(f1037,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(or(X0,X2),X1))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f384,f16]) ).

fof(f1225,plain,
    theorem(or(not(or(sF11,or(sF8,sF15))),sF17)),
    inference(superposition,[],[f176,f53]) ).

fof(f1227,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(sF11,or(sF8,sF15))))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f1225,f319]) ).

fof(f1234,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(sF8,sF15)))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f1227,f435]) ).

fof(f1259,plain,
    theorem(or(not(sF15),sF17)),
    inference(resolution,[],[f1234,f414]) ).

fof(f1271,plain,
    ! [X0] :
      ( ~ theorem(or(sF15,X0))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f1259,f557]) ).

fof(f1798,plain,
    theorem(or(not(sF0),sF11)),
    inference(resolution,[],[f855,f820]) ).

fof(f1928,plain,
    theorem(or(not(sF2),sF8)),
    inference(resolution,[],[f856,f807]) ).

fof(f1934,plain,
    theorem(or(not(sF2),sF17)),
    inference(resolution,[],[f1928,f862]) ).

fof(f1936,plain,
    ! [X0] :
      ( ~ theorem(or(sF2,X0))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f1934,f557]) ).

fof(f1944,plain,
    theorem(or(or(r,sF0),sF17)),
    inference(resolution,[],[f1936,f299]) ).

fof(f1993,plain,
    theorem(or(not(sF0),sF16)),
    inference(resolution,[],[f892,f1798]) ).

fof(f2010,plain,
    theorem(or(not(sF3),sF11)),
    inference(resolution,[],[f454,f820]) ).

fof(f2016,plain,
    theorem(or(not(sF3),sF17)),
    inference(resolution,[],[f2010,f1029]) ).

fof(f2018,plain,
    ! [X0] :
      ( ~ theorem(or(sF3,X0))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f2016,f557]) ).

fof(f2041,plain,
    theorem(or(not(sF5),sF8)),
    inference(resolution,[],[f455,f807]) ).

fof(f2047,plain,
    theorem(or(not(sF5),sF17)),
    inference(resolution,[],[f2041,f862]) ).

fof(f2049,plain,
    ! [X0] :
      ( ~ theorem(or(sF5,X0))
      | theorem(or(X0,sF17)) ),
    inference(resolution,[],[f2047,f557]) ).

fof(f2057,plain,
    theorem(or(or(s,sF3),sF17)),
    inference(resolution,[],[f2049,f296]) ).

fof(f2352,plain,
    theorem(or(or(sF13,sF12),sF17)),
    inference(resolution,[],[f1271,f295]) ).

fof(f3015,plain,
    ! [X0,X1] :
      ( theorem(or(not(not(X0)),X1))
      | ~ theorem(or(X0,X1)) ),
    inference(resolution,[],[f663,f279]) ).

fof(f3062,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(not(not(X0)),X1)) ),
    inference(resolution,[],[f3015,f541]) ).

fof(f3252,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF17))
      | theorem(sF17)
      | ~ theorem(or(not(X0),sF16)) ),
    inference(superposition,[],[f723,f53]) ).

fof(f3257,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF16))
      | ~ theorem(or(X0,sF17)) ),
    inference(forward_subsumption_resolution,[],[f3252,f54]) ).

fof(f3281,plain,
    ~ theorem(or(sF0,sF17)),
    inference(resolution,[],[f3257,f1993]) ).

fof(f3575,plain,
    theorem(or(r,or(sF17,sF0))),
    inference(resolution,[],[f1037,f1944]) ).

fof(f3576,plain,
    theorem(or(s,or(sF17,sF3))),
    inference(resolution,[],[f1037,f2057]) ).

fof(f3580,plain,
    theorem(or(sF13,or(sF17,sF12))),
    inference(resolution,[],[f1037,f2352]) ).

fof(f3660,plain,
    theorem(or(r,or(sF0,sF17))),
    inference(resolution,[],[f3575,f345]) ).

fof(f3668,plain,
    ( theorem(or(sF0,sF17))
    | ~ theorem(or(not(r),sF17)) ),
    inference(resolution,[],[f3660,f723]) ).

fof(f3675,plain,
    ~ theorem(or(not(r),sF17)),
    inference(forward_subsumption_resolution,[],[f3668,f3281]) ).

fof(f3676,plain,
    ~ theorem(or(sF12,sF17)),
    inference(forward_demodulation,[],[f3675,f43]) ).

fof(f3716,plain,
    theorem(or(sF13,or(sF12,sF17))),
    inference(resolution,[],[f3580,f345]) ).

fof(f3723,plain,
    ( theorem(or(sF12,sF17))
    | ~ theorem(or(not(sF13),sF17)) ),
    inference(resolution,[],[f3716,f723]) ).

fof(f3730,plain,
    ~ theorem(or(not(sF13),sF17)),
    inference(forward_subsumption_resolution,[],[f3723,f3676]) ).

fof(f3752,plain,
    theorem(or(s,or(sF3,sF17))),
    inference(resolution,[],[f3576,f345]) ).

fof(f3766,plain,
    theorem(or(sF3,or(s,sF17))),
    inference(resolution,[],[f3752,f84]) ).

fof(f3772,plain,
    theorem(or(or(s,sF17),sF17)),
    inference(resolution,[],[f3766,f2018]) ).

fof(f3784,plain,
    theorem(or(s,or(sF17,sF17))),
    inference(resolution,[],[f3772,f1037]) ).

fof(f11818,plain,
    theorem(or(not(not(s)),sF17)),
    inference(resolution,[],[f3062,f3784]) ).

fof(f11855,plain,
    theorem(or(not(sF13),sF17)),
    inference(forward_demodulation,[],[f11818,f45]) ).

fof(f11859,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f11855,f3730]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL254-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37  % Computer : n015.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 15:34:16 UTC 2026
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.42/2.34  % (1792251)Input is clausal, will run a generic CNF schedule.
% 10.42/2.34  % (1792344)lrs+10_1_sil=8000:sp=occurrence:random_seed=2193673082:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.42/2.34  % (1792344)Instruction limit reached! 
% 10.42/2.34  % (1792344)------------------------------
% 10.42/2.34  % (1792344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.34  % (1792344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.34  % (1792344)CaDiCaL version: 2.1.3
% 10.42/2.34  % (1792344)Termination reason: Instruction limit
% 10.42/2.34  % (1792344)Termination phase: Saturation
% 10.42/2.34  % (1792344)Time elapsed: 0.039 s
% 10.42/2.34  % (1792344)Peak memory usage: 89 MB
% 10.42/2.34  % (1792344)Instructions burned: 109 (million)
% 10.42/2.34  % (1792341)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=75792910:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.42/2.34  % (1792346)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1388307271:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.42/2.34  % (1792349)dis-21_1_sil=8000:lcm=predicate:random_seed=4019840223:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.42/2.34  % (1792347)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2980809964:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.42/2.34  % (1792340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2310378888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.42/2.34  % (1792343)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=728919156:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.42/2.34  % (1792349)Instruction limit reached! 
% 10.42/2.34  % (1792349)------------------------------
% 10.42/2.34  % (1792349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.34  % (1792349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.34  % (1792349)CaDiCaL version: 2.1.3
% 10.42/2.34  % (1792349)Termination reason: Instruction limit
% 10.42/2.34  % (1792349)Termination phase: Saturation
% 10.42/2.34  % (1792349)Time elapsed: 0.059 s
% 10.42/2.34  % (1792349)Peak memory usage: 87 MB
% 10.42/2.34  % (1792349)Instructions burned: 118 (million)
% 10.42/2.34  % (1792346)Instruction limit reached! 
% 10.42/2.34  % (1792346)------------------------------
% 10.42/2.34  % (1792346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.34  % (1792346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.34  % (1792346)CaDiCaL version: 2.1.3
% 10.42/2.34  % (1792346)Termination reason: Instruction limit
% 10.42/2.34  % (1792346)Termination phase: Saturation
% 10.42/2.34  % (1792346)Time elapsed: 0.073 s
% 10.42/2.34  % (1792346)Peak memory usage: 88 MB
% 10.42/2.34  % (1792346)Instructions burned: 114 (million)
% 10.42/2.34  % (1792347)Instruction limit reached! 
% 10.42/2.34  % (1792347)------------------------------
% 10.42/2.34  % (1792347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.34  % (1792347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.34  % (1792347)CaDiCaL version: 2.1.3
% 10.42/2.34  % (1792347)Termination reason: Instruction limit
% 10.42/2.34  % (1792347)Termination phase: Saturation
% 10.42/2.34  % (1792347)Time elapsed: 0.112 s
% 10.42/2.34  % (1792347)Peak memory usage: 89 MB
% 10.42/2.34  % (1792347)Instructions burned: 180 (million)
% 10.42/2.34  % (1792384)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1499666818:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 10.42/2.34  % (1792384)Refutation not found, incomplete strategy
% 10.42/2.34  % (1792384)------------------------------
% 10.42/2.34  % (1792384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.42/2.34  % (1792384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.42/2.34  % (1792384)CaDiCaL version: 2.1.3
% 10.42/2.34  % (1792384)Termination reason: Refutation not found, incomplete strategy
% 10.42/2.34  % (1792384)Time elapsed: 0.001 s
% 10.42/2.34  % (1792384)Peak memory usage: 88 MB
% 10.42/2.34  % (1792401)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2119389793:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.45/3.31  % (1792401)Refutation not found, incomplete strategy
% 8.45/3.31  % (1792401)------------------------------
% 8.45/3.31  % (1792401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792401)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792401)Termination reason: Refutation not found, incomplete strategy
% 8.45/3.31  % (1792401)Time elapsed: 0.001 s
% 8.45/3.31  % (1792401)Peak memory usage: 87 MB
% 8.45/3.31  % (1792404)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1380559646:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.45/3.31  % (1792404)Refutation not found, incomplete strategy
% 8.45/3.31  % (1792404)------------------------------
% 8.45/3.31  % (1792404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792404)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792404)Termination reason: Refutation not found, incomplete strategy
% 8.45/3.31  % (1792404)Time elapsed: 0.001 s
% 8.45/3.31  % (1792404)Peak memory usage: 88 MB
% 8.45/3.31  % (1792404)Instructions burned: 1 (million)
% 8.45/3.31  % (1792384)------------------------------
% 8.45/3.31  % (1792384)------------------------------
% 8.45/3.31  % (1792407)lrs+10_64_to=lpo:sil=8000:random_seed=2404790868:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.45/3.31  % (1792407)Instruction limit reached! 
% 8.45/3.31  % (1792407)------------------------------
% 8.45/3.31  % (1792407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792407)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792407)Termination reason: Instruction limit
% 8.45/3.31  % (1792407)Termination phase: Saturation
% 8.45/3.31  % (1792407)Time elapsed: 0.074 s
% 8.45/3.31  % (1792407)Peak memory usage: 89 MB
% 8.45/3.31  % (1792407)Instructions burned: 126 (million)
% 8.45/3.31  % (1792412)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3193493123:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.45/3.31  % (1792401)------------------------------
% 8.45/3.31  % (1792401)------------------------------
% 8.45/3.31  % (1792404)------------------------------
% 8.45/3.31  % (1792404)------------------------------
% 8.45/3.31  % (1792412)Instruction limit reached! 
% 8.45/3.31  % (1792412)------------------------------
% 8.45/3.31  % (1792412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792412)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792412)Termination reason: Instruction limit
% 8.45/3.31  % (1792412)Termination phase: Saturation
% 8.45/3.31  % (1792412)Time elapsed: 0.070 s
% 8.45/3.31  % (1792412)Peak memory usage: 90 MB
% 8.45/3.31  % (1792412)Instructions burned: 195 (million)
% 8.45/3.31  % (1792413)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3137013481:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.45/3.31  % (1792417)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2648824626:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.45/3.31  % (1792417)Refutation not found, incomplete strategy
% 8.45/3.31  % (1792417)------------------------------
% 8.45/3.31  % (1792417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792417)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792417)Termination reason: Refutation not found, incomplete strategy
% 8.45/3.31  % (1792417)Time elapsed: 0.001 s
% 8.45/3.31  % (1792417)Peak memory usage: 87 MB
% 8.45/3.31  % (1792415)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3762249143:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.45/3.31  % (1792413)Instruction limit reached! 
% 8.45/3.31  % (1792413)------------------------------
% 8.45/3.31  % (1792413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792413)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792413)Termination reason: Instruction limit
% 8.45/3.31  % (1792413)Termination phase: Saturation
% 8.45/3.31  % (1792413)Time elapsed: 0.105 s
% 8.45/3.31  % (1792413)Peak memory usage: 91 MB
% 8.45/3.31  % (1792413)Instructions burned: 158 (million)
% 8.45/3.31  % (1792416)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3469808134:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.45/3.31  % (1792416)Instruction limit reached! 
% 8.45/3.31  % (1792416)------------------------------
% 8.45/3.31  % (1792416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792416)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792416)Termination reason: Instruction limit
% 8.45/3.31  % (1792416)Termination phase: Saturation
% 8.45/3.31  % (1792416)Time elapsed: 0.058 s
% 8.45/3.31  % (1792416)Peak memory usage: 89 MB
% 8.45/3.31  % (1792416)Instructions burned: 108 (million)
% 8.45/3.31  % (1792417)------------------------------
% 8.45/3.31  % (1792417)------------------------------
% 8.45/3.31  % (1792421)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2543523543:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.45/3.31  % (1792423)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2551548087:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.45/3.31  % (1792424)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3252400258:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.45/3.31  % (1792424)Instruction limit reached! 
% 8.45/3.31  % (1792424)------------------------------
% 8.45/3.31  % (1792424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792424)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792424)Termination reason: Instruction limit
% 8.45/3.31  % (1792424)Termination phase: Saturation
% 8.45/3.31  % (1792424)Time elapsed: 0.047 s
% 8.45/3.31  % (1792424)Peak memory usage: 90 MB
% 8.45/3.31  % (1792424)Instructions burned: 136 (million)
% 8.45/3.31  % (1792421)Instruction limit reached! 
% 8.45/3.31  % (1792421)------------------------------
% 8.45/3.31  % (1792421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792421)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792421)Termination reason: Instruction limit
% 8.45/3.31  % (1792421)Termination phase: Saturation
% 8.45/3.31  % (1792421)Time elapsed: 0.158 s
% 8.45/3.31  % (1792421)Peak memory usage: 90 MB
% 8.45/3.31  % (1792421)Instructions burned: 243 (million)
% 8.45/3.31  % (1792428)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3989486273:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.45/3.31  % (1792429)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3487033689:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 8.45/3.31  % (1792428)Instruction limit reached! 
% 8.45/3.31  % (1792428)------------------------------
% 8.45/3.31  % (1792428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792428)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792428)Termination reason: Instruction limit
% 8.45/3.31  % (1792428)Termination phase: Saturation
% 8.45/3.31  % (1792428)Time elapsed: 0.140 s
% 8.45/3.31  % (1792428)Peak memory usage: 92 MB
% 8.45/3.31  % (1792428)Instructions burned: 502 (million)
% 8.45/3.31  % (1792429)Instruction limit reached! 
% 8.45/3.31  % (1792429)------------------------------
% 8.45/3.31  % (1792429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792429)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792429)Termination reason: Instruction limit
% 8.45/3.31  % (1792429)Termination phase: Saturation
% 8.45/3.31  % (1792429)Time elapsed: 0.128 s
% 8.45/3.31  % (1792429)Peak memory usage: 92 MB
% 8.45/3.31  % (1792429)Instructions burned: 192 (million)
% 8.45/3.31  % (1792432)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=4012251541:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 8.45/3.31  % (1792433)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=588299681:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 8.45/3.31  % (1792432)Instruction limit reached! 
% 8.45/3.31  % (1792432)------------------------------
% 8.45/3.31  % (1792432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792432)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792432)Termination reason: Instruction limit
% 8.45/3.31  % (1792432)Termination phase: Saturation
% 8.45/3.31  % (1792432)Time elapsed: 0.081 s
% 8.45/3.31  % (1792432)Peak memory usage: 92 MB
% 8.45/3.31  % (1792432)Instructions burned: 267 (million)
% 8.45/3.31  % (1792433)Instruction limit reached! 
% 8.45/3.31  % (1792433)------------------------------
% 8.45/3.31  % (1792433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792433)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792433)Termination reason: Instruction limit
% 8.45/3.31  % (1792433)Termination phase: Saturation
% 8.45/3.31  % (1792433)Time elapsed: 0.092 s
% 8.45/3.31  % (1792433)Peak memory usage: 88 MB
% 8.45/3.31  % (1792433)Instructions burned: 156 (million)
% 8.45/3.31  % (1792436)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=3409302672:i=3256:kws=precedence:bd=preordered:av=off_2984 on theBenchmark for (2984ds/3256Mi)
% 8.45/3.31  % (1792437)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=72777075:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 8.45/3.31  % (1792437)Instruction limit reached! 
% 8.45/3.31  % (1792437)------------------------------
% 8.45/3.31  % (1792437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792437)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792437)Termination reason: Instruction limit
% 8.45/3.31  % (1792437)Termination phase: Saturation
% 8.45/3.31  % (1792437)Time elapsed: 0.306 s
% 8.45/3.31  % (1792437)Peak memory usage: 91 MB
% 8.45/3.31  % (1792437)Instructions burned: 538 (million)
% 8.45/3.31  % (1792340)First to succeed.
% 8.45/3.31  % (1792340)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1792251"
% 8.45/3.31  % (1792440)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3671475884:i=180:bd=preordered:av=off_2978 on theBenchmark for (2978ds/180Mi)
% 8.45/3.31  % (1792415)Also succeeded, but the first one will report.
% 8.45/3.31  % (1792440)Instruction limit reached! 
% 8.45/3.31  % (1792440)------------------------------
% 8.45/3.31  % (1792440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.45/3.31  % (1792440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.45/3.31  % (1792440)CaDiCaL version: 2.1.3
% 8.45/3.31  % (1792440)Termination reason: Instruction limit
% 8.45/3.31  % (1792440)Termination phase: Saturation
% 8.45/3.31  % (1792440)Time elapsed: 0.104 s
% 8.45/3.31  % (1792440)Peak memory usage: 89 MB
% 8.45/3.31  % (1792440)Instructions burned: 181 (million)
% 8.45/3.31  % (1792340)Refutation found. Thanks to Tanya!
% 8.45/3.31  % SZS status Unsatisfiable for theBenchmark
% 8.45/3.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.51  % (1792340)------------------------------
% 0.17/3.51  % (1792340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.51  % (1792340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.51  % (1792340)CaDiCaL version: 2.1.3
% 0.17/3.51  % (1792340)Termination reason: Refutation
% 0.17/3.51  % (1792340)Time elapsed: 2.014 s
% 0.17/3.51  % (1792340)Peak memory usage: 147 MB
% 0.17/3.51  % (1792340)Instructions burned: 3123 (million)
% 0.17/3.51  % (1792340)------------------------------
% 0.17/3.51  % (1792340)------------------------------
% 0.17/3.51  % (1792251)Success in time 2.45 s
% 0.17/3.51  % Vampire exiting
%------------------------------------------------------------------------------