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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL345-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 11:58:24 AM UTC 2026

% Result   : Unsatisfiable 17.67s 8.28s
% Output   : Refutation 17.67s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  141 ( 103 unt;  17 def)
%            Number of atoms       :  187 (  38 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  101 (  55   ~;  46   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  19 con; 0-2 aty)
%            Number of variables   :  113 ( 113   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] : axiom(implies(or(X0,X0),X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).

fof(f2,axiom,
    ! [X0,X1] : axiom(implies(X0,or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).

fof(f3,axiom,
    ! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).

fof(f4,axiom,
    ! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).

fof(f5,axiom,
    ! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).

fof(f6,axiom,
    ! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).

fof(f7,axiom,
    ! [X0] :
      ( ~ axiom(X0)
      | theorem(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( theorem(X0)
      | ~ theorem(implies(X1,X0))
      | ~ theorem(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).

fof(f9,axiom,
    ! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).

fof(f10,axiom,
    ! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).

fof(f11,negated_conjecture,
    ~ theorem(or(equivalent(or(p,q),p),equivalent(or(p,q),q))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f12,plain,
    ! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
    inference(definition_unfolding,[],[f10,f9,f6,f6]) ).

fof(f13,plain,
    ! [X0] : axiom(or(not(or(X0,X0)),X0)),
    inference(definition_unfolding,[],[f1,f6]) ).

fof(f14,plain,
    ! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
    inference(definition_unfolding,[],[f2,f6]) ).

fof(f15,plain,
    ! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
    inference(definition_unfolding,[],[f3,f6]) ).

fof(f16,plain,
    ! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(definition_unfolding,[],[f4,f6]) ).

fof(f17,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(f18,plain,
    ! [X0,X1] :
      ( ~ theorem(or(not(X1),X0))
      | theorem(X0)
      | ~ theorem(X1) ),
    inference(definition_unfolding,[],[f8,f6]) ).

fof(f19,plain,
    ~ theorem(or(not(or(not(or(not(or(p,q)),p)),not(or(not(p),or(p,q))))),not(or(not(or(not(or(p,q)),q)),not(or(not(q),or(p,q))))))),
    inference(definition_unfolding,[],[f11,f12,f12]) ).

fof(f20,definition,
    sF0 = or(p,q),
    introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).

fof(f21,plain,
    or(p,q) = sF0,
    inference(reorient_equations,[],[f20]) ).

fof(f22,definition,
    sF1 = not(sF0),
    introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).

fof(f23,plain,
    not(sF0) = sF1,
    inference(reorient_equations,[],[f22]) ).

fof(f24,definition,
    sF2 = or(sF1,p),
    introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).

fof(f25,plain,
    or(sF1,p) = sF2,
    inference(reorient_equations,[],[f24]) ).

fof(f26,definition,
    sF3 = not(sF2),
    introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).

fof(f27,plain,
    not(sF2) = sF3,
    inference(reorient_equations,[],[f26]) ).

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

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

fof(f30,definition,
    sF5 = or(sF4,sF0),
    introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).

fof(f31,plain,
    or(sF4,sF0) = sF5,
    inference(reorient_equations,[],[f30]) ).

fof(f32,definition,
    sF6 = not(sF5),
    introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).

fof(f33,plain,
    not(sF5) = sF6,
    inference(reorient_equations,[],[f32]) ).

fof(f34,definition,
    sF7 = or(sF3,sF6),
    introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).

fof(f35,plain,
    or(sF3,sF6) = sF7,
    inference(reorient_equations,[],[f34]) ).

fof(f36,definition,
    sF8 = not(sF7),
    introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).

fof(f37,plain,
    not(sF7) = sF8,
    inference(reorient_equations,[],[f36]) ).

fof(f38,definition,
    sF9 = or(sF1,q),
    introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).

fof(f39,plain,
    or(sF1,q) = sF9,
    inference(reorient_equations,[],[f38]) ).

fof(f40,definition,
    sF10 = not(sF9),
    introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).

fof(f41,plain,
    not(sF9) = sF10,
    inference(reorient_equations,[],[f40]) ).

fof(f42,definition,
    sF11 = not(q),
    introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).

fof(f43,plain,
    not(q) = sF11,
    inference(reorient_equations,[],[f42]) ).

fof(f44,definition,
    sF12 = or(sF11,sF0),
    introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).

fof(f45,plain,
    or(sF11,sF0) = sF12,
    inference(reorient_equations,[],[f44]) ).

fof(f46,definition,
    sF13 = not(sF12),
    introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).

fof(f47,plain,
    not(sF12) = sF13,
    inference(reorient_equations,[],[f46]) ).

fof(f48,definition,
    sF14 = or(sF10,sF13),
    introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).

fof(f49,plain,
    or(sF10,sF13) = sF14,
    inference(reorient_equations,[],[f48]) ).

fof(f50,definition,
    sF15 = not(sF14),
    introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).

fof(f51,plain,
    not(sF14) = sF15,
    inference(reorient_equations,[],[f50]) ).

fof(f52,definition,
    sF16 = or(sF8,sF15),
    introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).

fof(f53,plain,
    or(sF8,sF15) = sF16,
    inference(reorient_equations,[],[f52]) ).

fof(f54,plain,
    ~ theorem(sF16),
    inference(definition_folding,[],[f19,f53,f51,f49,f47,f45,f21,f43,f41,f39,f23,f21,f37,f35,f33,f31,f21,f29,f27,f25,f23,f21]) ).

fof(f55,plain,
    ! [X0] : theorem(or(not(or(X0,X0)),X0)),
    inference(resolution,[],[f13,f7]) ).

fof(f56,plain,
    ! [X0,X1] : theorem(or(not(X0),or(X1,X0))),
    inference(resolution,[],[f14,f7]) ).

fof(f57,plain,
    ! [X0] : axiom(or(sF4,or(X0,p))),
    inference(superposition,[],[f14,f29]) ).

fof(f59,plain,
    ! [X0] : axiom(or(sF1,or(X0,sF0))),
    inference(superposition,[],[f14,f23]) ).

fof(f66,plain,
    axiom(or(not(q),sF0)),
    inference(superposition,[],[f14,f21]) ).

fof(f78,plain,
    axiom(or(sF11,sF0)),
    inference(forward_demodulation,[],[f66,f43]) ).

fof(f79,plain,
    axiom(sF12),
    inference(forward_demodulation,[],[f78,f45]) ).

fof(f80,plain,
    ! [X0,X1] : theorem(or(not(or(X0,X1)),or(X1,X0))),
    inference(resolution,[],[f15,f7]) ).

fof(f84,plain,
    axiom(or(not(sF7),or(sF6,sF3))),
    inference(superposition,[],[f15,f35]) ).

fof(f86,plain,
    axiom(or(not(sF16),or(sF15,sF8))),
    inference(superposition,[],[f15,f53]) ).

fof(f87,plain,
    axiom(or(not(sF14),or(sF13,sF10))),
    inference(superposition,[],[f15,f49]) ).

fof(f89,plain,
    axiom(or(not(or(q,p)),sF0)),
    inference(superposition,[],[f15,f21]) ).

fof(f94,plain,
    axiom(or(not(or(sF15,sF8)),sF16)),
    inference(superposition,[],[f15,f53]) ).

fof(f98,plain,
    axiom(or(sF15,or(sF13,sF10))),
    inference(forward_demodulation,[],[f87,f51]) ).

fof(f100,plain,
    axiom(or(sF8,or(sF6,sF3))),
    inference(forward_demodulation,[],[f84,f37]) ).

fof(f104,plain,
    theorem(sF12),
    inference(resolution,[],[f79,f7]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ theorem(or(sF6,X0))
      | theorem(X0)
      | ~ theorem(sF5) ),
    inference(superposition,[],[f18,f33]) ).

fof(f112,plain,
    ! [X0] :
      ( ~ theorem(or(sF13,X0))
      | theorem(X0)
      | ~ theorem(sF12) ),
    inference(superposition,[],[f18,f47]) ).

fof(f114,plain,
    ! [X0] :
      ( ~ theorem(or(sF13,X0))
      | theorem(X0) ),
    inference(forward_subsumption_resolution,[],[f112,f104]) ).

fof(f115,plain,
    ! [X2,X0,X1] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
    inference(resolution,[],[f16,f7]) ).

fof(f116,plain,
    ! [X0] : axiom(or(not(or(X0,sF0)),or(p,or(X0,q)))),
    inference(superposition,[],[f16,f21]) ).

fof(f125,plain,
    ! [X0] : axiom(or(not(or(sF1,or(X0,p))),or(X0,sF2))),
    inference(superposition,[],[f16,f25]) ).

fof(f133,plain,
    ! [X2,X0,X1] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
    inference(resolution,[],[f17,f7]) ).

fof(f137,plain,
    ! [X0,X1] : axiom(or(not(or(sF3,X0)),or(not(or(X1,sF2)),or(X1,X0)))),
    inference(superposition,[],[f17,f27]) ).

fof(f156,plain,
    ! [X0] : axiom(or(not(or(not(X0),sF15)),or(not(or(sF8,X0)),sF16))),
    inference(superposition,[],[f17,f53]) ).

fof(f177,plain,
    ! [X0] : theorem(or(sF4,or(X0,p))),
    inference(resolution,[],[f57,f7]) ).

fof(f184,plain,
    ! [X0] : theorem(or(sF1,or(X0,sF0))),
    inference(resolution,[],[f59,f7]) ).

fof(f197,plain,
    theorem(or(sF15,or(sF13,sF10))),
    inference(resolution,[],[f98,f7]) ).

fof(f199,plain,
    theorem(or(sF8,or(sF6,sF3))),
    inference(resolution,[],[f100,f7]) ).

fof(f205,plain,
    ! [X0,X1] :
      ( theorem(or(X0,X1))
      | ~ theorem(X1) ),
    inference(resolution,[],[f56,f18]) ).

fof(f232,plain,
    theorem(or(not(sF16),or(sF15,sF8))),
    inference(resolution,[],[f86,f7]) ).

fof(f235,plain,
    theorem(or(not(or(q,p)),sF0)),
    inference(resolution,[],[f89,f7]) ).

fof(f241,plain,
    theorem(or(not(or(sF15,sF8)),sF16)),
    inference(resolution,[],[f94,f7]) ).

fof(f278,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X1,X0))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f80,f18]) ).

fof(f307,plain,
    axiom(or(not(or(sF1,sF0)),or(p,sF9))),
    inference(superposition,[],[f116,f39]) ).

fof(f354,plain,
    ! [X0] : theorem(or(not(or(sF1,or(X0,p))),or(X0,sF2))),
    inference(resolution,[],[f125,f7]) ).

fof(f410,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(X1,or(X0,X2)))
      | theorem(or(X0,or(X1,X2))) ),
    inference(resolution,[],[f115,f18]) ).

fof(f525,plain,
    ! [X0] : theorem(or(not(or(not(X0),sF15)),or(not(or(sF8,X0)),sF16))),
    inference(resolution,[],[f156,f7]) ).

fof(f589,plain,
    ( theorem(sF16)
    | ~ theorem(or(sF15,sF8)) ),
    inference(resolution,[],[f241,f18]) ).

fof(f590,plain,
    ~ theorem(or(sF15,sF8)),
    inference(forward_subsumption_resolution,[],[f589,f54]) ).

fof(f634,plain,
    ! [X0,X1] : theorem(or(not(or(sF3,X0)),or(not(or(X1,sF2)),or(X1,X0)))),
    inference(resolution,[],[f137,f7]) ).

fof(f757,plain,
    ! [X2,X0,X1] :
      ( theorem(or(not(or(X0,X1)),or(X0,X2)))
      | ~ theorem(or(not(X1),X2)) ),
    inference(resolution,[],[f133,f18]) ).

fof(f845,plain,
    theorem(or(not(or(sF1,sF0)),or(p,sF9))),
    inference(resolution,[],[f307,f7]) ).

fof(f984,plain,
    ! [X0] :
      ( ~ theorem(or(sF1,or(X0,p)))
      | theorem(or(X0,sF2)) ),
    inference(resolution,[],[f354,f18]) ).

fof(f1120,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X0,X2)) ),
    inference(resolution,[],[f410,f205]) ).

fof(f1152,plain,
    ! [X0] : theorem(or(X0,or(sF1,sF0))),
    inference(resolution,[],[f410,f184]) ).

fof(f1163,plain,
    theorem(or(sF6,or(sF8,sF3))),
    inference(resolution,[],[f410,f199]) ).

fof(f1175,plain,
    theorem(or(sF13,or(sF15,sF10))),
    inference(resolution,[],[f410,f197]) ).

fof(f1291,plain,
    ( theorem(or(sF8,sF3))
    | ~ theorem(sF5) ),
    inference(resolution,[],[f1163,f109]) ).

fof(f1372,plain,
    theorem(or(sF15,sF10)),
    inference(resolution,[],[f1175,f114]) ).

fof(f1377,plain,
    theorem(or(sF10,sF15)),
    inference(resolution,[],[f1372,f278]) ).

fof(f1424,plain,
    ( theorem(or(sF3,sF8))
    | ~ theorem(sF5) ),
    inference(resolution,[],[f1291,f278]) ).

fof(f1564,plain,
    ! [X0] :
      ( theorem(or(not(or(sF8,X0)),sF16))
      | ~ theorem(or(not(X0),sF15)) ),
    inference(resolution,[],[f525,f18]) ).

fof(f1727,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(X0,sF2)),or(X0,X1)))
      | ~ theorem(or(sF3,X1)) ),
    inference(resolution,[],[f634,f18]) ).

fof(f1813,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(or(X2,X0)) ),
    inference(resolution,[],[f757,f18]) ).

fof(f1814,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X2,or(not(or(X2,X0)),X1)))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f757,f410]) ).

fof(f2221,plain,
    ! [X0] :
      ( ~ theorem(or(X0,p))
      | theorem(or(X0,sF2)) ),
    inference(resolution,[],[f984,f205]) ).

fof(f2355,plain,
    ! [X2,X0,X1] :
      ( ~ theorem(or(not(X0),X1))
      | theorem(or(X2,X1))
      | ~ theorem(X0) ),
    inference(resolution,[],[f1120,f18]) ).

fof(f4031,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(X1,X1)))
      | theorem(or(X0,X1)) ),
    inference(resolution,[],[f1813,f55]) ).

fof(f4143,plain,
    ! [X0] :
      ( theorem(or(X0,or(p,sF9)))
      | ~ theorem(or(X0,or(sF1,sF0))) ),
    inference(resolution,[],[f1813,f845]) ).

fof(f4176,plain,
    ! [X0] :
      ( theorem(or(X0,or(sF15,sF8)))
      | ~ theorem(or(X0,sF16)) ),
    inference(resolution,[],[f1813,f232]) ).

fof(f4179,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(q,p)))
      | theorem(or(X0,sF0)) ),
    inference(resolution,[],[f1813,f235]) ).

fof(f4205,plain,
    ! [X0] :
      ( ~ theorem(or(X0,or(sF15,sF8)))
      | theorem(or(X0,sF16)) ),
    inference(resolution,[],[f1813,f241]) ).

fof(f4207,plain,
    ! [X0,X1] :
      ( ~ theorem(or(X0,or(sF8,X1)))
      | theorem(or(X0,sF16))
      | ~ theorem(or(not(X1),sF15)) ),
    inference(resolution,[],[f1813,f1564]) ).

fof(f4260,plain,
    ! [X0] : theorem(or(X0,or(p,sF9))),
    inference(forward_subsumption_resolution,[],[f4143,f1152]) ).

fof(f4599,plain,
    ! [X0,X1] :
      ( theorem(or(not(or(sF13,X0)),X1))
      | ~ theorem(or(not(X0),X1)) ),
    inference(resolution,[],[f1814,f114]) ).

fof(f4757,plain,
    ! [X0] : theorem(or(p,or(X0,sF9))),
    inference(resolution,[],[f4260,f410]) ).

fof(f6748,plain,
    ! [X0] :
      ( theorem(or(not(or(X0,sF2)),X0))
      | ~ theorem(or(sF3,X0)) ),
    inference(resolution,[],[f4031,f1727]) ).

fof(f6829,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF16))
      | theorem(or(sF15,sF8))
      | ~ theorem(X0) ),
    inference(resolution,[],[f4176,f18]) ).

fof(f6859,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF16))
      | ~ theorem(X0) ),
    inference(forward_subsumption_resolution,[],[f6829,f590]) ).

fof(f6912,plain,
    theorem(or(sF4,sF0)),
    inference(resolution,[],[f4179,f177]) ).

fof(f6922,plain,
    theorem(sF5),
    inference(forward_demodulation,[],[f6912,f31]) ).

fof(f7241,plain,
    ! [X0] :
      ( ~ theorem(or(X0,sF8))
      | theorem(or(X0,sF16)) ),
    inference(resolution,[],[f4205,f1120]) ).

fof(f7362,plain,
    ! [X2,X0,X1] :
      ( theorem(or(X0,or(X1,X2)))
      | ~ theorem(or(X2,X1)) ),
    inference(resolution,[],[f2355,f80]) ).

fof(f8852,plain,
    ! [X0] : theorem(or(or(X0,sF9),p)),
    inference(resolution,[],[f4757,f278]) ).

fof(f11762,plain,
    ! [X0] : theorem(or(or(X0,sF9),sF2)),
    inference(resolution,[],[f8852,f2221]) ).

fof(f12316,plain,
    ! [X0] : theorem(or(sF2,or(X0,sF9))),
    inference(resolution,[],[f11762,f278]) ).

fof(f14573,plain,
    ! [X0] :
      ( ~ theorem(or(not(X0),sF16))
      | ~ theorem(or(sF13,X0)) ),
    inference(resolution,[],[f4599,f6859]) ).

fof(f24205,plain,
    ( theorem(or(sF2,sF16))
    | ~ theorem(or(not(sF9),sF15)) ),
    inference(resolution,[],[f4207,f12316]) ).

fof(f24259,plain,
    ( ~ theorem(or(sF10,sF15))
    | theorem(or(sF2,sF16)) ),
    inference(forward_demodulation,[],[f24205,f41]) ).

fof(f24286,plain,
    theorem(or(sF2,sF16)),
    inference(forward_subsumption_resolution,[],[f24259,f1377]) ).

fof(f41137,plain,
    ( theorem(or(sF3,sF16))
    | ~ theorem(sF5) ),
    inference(resolution,[],[f7241,f1424]) ).

fof(f41157,plain,
    theorem(or(sF3,sF16)),
    inference(forward_subsumption_resolution,[],[f41137,f6922]) ).

fof(f73733,plain,
    ( ~ theorem(or(sF3,sF16))
    | ~ theorem(or(sF13,or(sF16,sF2))) ),
    inference(resolution,[],[f6748,f14573]) ).

fof(f73847,plain,
    ~ theorem(or(sF13,or(sF16,sF2))),
    inference(forward_subsumption_resolution,[],[f73733,f41157]) ).

fof(f75168,plain,
    ~ theorem(or(sF2,sF16)),
    inference(resolution,[],[f73847,f7362]) ).

fof(f75175,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f75168,f24286]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL345-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.10  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.49  % Computer : n014.cluster.edu
% 0.24/0.49  % Model    : x86_64 x86_64
% 0.24/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.24/0.49  % Memory   : 8046.5625MB
% 0.24/0.49  % OS       : Linux 6.8.0-71-generic
% 0.24/0.49  % CPULimit : 300
% 0.24/0.49  % WCLimit  : 300
% 0.24/0.49  % DateTime : Sun Sep 27 15:35:32 UTC 2026
% 0.24/0.50  % CPUTime  : 
% 0.24/0.50  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.28/0.55  Running first-order model finding
% 0.28/0.55  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
% 37.23/5.89  % (954130)Will run a generic schedule for satisfiability detection.
% 37.23/5.89  % (954139)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=126012446:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 37.23/5.89  % (954136)% WARNING: option uhcvi not known.
% 37.23/5.89  % (954135)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=111820449_2999 on theBenchmark for (2999ds/0Mi)
% 37.23/5.89  % (954137)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3170978122:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 37.23/5.89  % (954141)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1474786653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 37.23/5.89  % (954136)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4042112061:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 37.23/5.89  % (954138)dis+10_1_sil=32000:sp=arity:random_seed=1865296624:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 37.23/5.89  % (954140)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4076532221:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 37.23/5.89  % TRYING [1]
% 37.23/5.89  % TRYING [2]
% 37.23/5.89  % TRYING [3]
% 37.23/5.89  % (954139)Instruction limit reached! 
% 37.23/5.89  % (954139)------------------------------
% 37.23/5.89  % (954139)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.23/5.89  % (954139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/5.89  % (954139)CaDiCaL version: 2.1.3
% 37.23/5.89  % (954139)Termination reason: Instruction limit
% 37.23/5.89  % (954139)Termination phase: Saturation
% 37.23/5.89  % (954139)Time elapsed: 0.049 s
% 37.23/5.89  % (954139)Peak memory usage: 11 MB
% 37.23/5.89  % (954139)Instructions burned: 118 (million)
% 37.23/5.89  % TRYING [4]
% 37.23/5.89  % (954149)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3077974574:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 37.23/5.89  % TRYING [1]
% 37.23/5.89  % TRYING [2]
% 37.23/5.89  % TRYING [3]
% 37.23/5.89  % TRYING [4]
% 37.23/5.89  % (954138)Instruction limit reached! 
% 37.23/5.89  % (954138)------------------------------
% 37.23/5.89  % (954138)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.23/5.89  % (954138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/5.89  % (954138)CaDiCaL version: 2.1.3
% 37.23/5.89  % (954138)Termination reason: Instruction limit
% 37.23/5.89  % (954138)Termination phase: Saturation
% 37.23/5.89  % (954138)Time elapsed: 0.106 s
% 37.23/5.89  % (954138)Peak memory usage: 12 MB
% 37.23/5.89  % (954138)Instructions burned: 103 (million)
% 37.23/5.89  % (954140)Instruction limit reached! 
% 37.23/5.89  % (954140)------------------------------
% 37.23/5.89  % (954140)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.23/5.89  % (954140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/5.89  % (954140)CaDiCaL version: 2.1.3
% 37.23/5.89  % (954140)Termination reason: Instruction limit
% 37.23/5.89  % (954140)Termination phase: Saturation
% 37.23/5.89  % (954140)Time elapsed: 0.139 s
% 37.23/5.89  % (954140)Peak memory usage: 13 MB
% 37.23/5.89  % (954140)Instructions burned: 131 (million)
% 37.23/5.89  % (954151)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=987621317:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 37.23/5.89  % (954141)Instruction limit reached! 
% 37.23/5.89  % (954141)------------------------------
% 37.23/5.89  % (954141)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.23/5.89  % (954141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.23/5.89  % (954141)CaDiCaL version: 2.1.3
% 37.23/5.89  % (954141)Termination reason: Instruction limit
% 37.23/5.89  % (954141)Termination phase: Saturation
% 37.23/5.89  % (954141)Time elapsed: 0.171 s
% 37.23/5.89  % (954141)Peak memory usage: 13 MB
% 37.23/5.89  % (954141)Instructions burned: 159 (million)
% 37.23/5.89  % (954152)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=674669510:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 37.23/5.89  % (954154)ott-21_1_sil=16000:fs=off:random_seed=233576064:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 37.23/5.89  % TRYING [5]
% 37.23/5.89  % (954151)Instruction limit reached! 
% 37.23/5.89  % (954151)------------------------------
% 37.23/5.89  % (954151)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 37.23/5.89  % (954151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954151)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954151)Termination reason: Instruction limit
% 17.67/8.28  % (954151)Termination phase: Saturation
% 17.67/8.28  % (954151)Time elapsed: 0.137 s
% 17.67/8.28  % (954151)Peak memory usage: 12 MB
% 17.67/8.28  % (954151)Instructions burned: 131 (million)
% 17.67/8.28  % (954157)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2918655004:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 17.67/8.28  % TRYING [5]
% 17.67/8.28  % (954154)Instruction limit reached! 
% 17.67/8.28  % (954154)------------------------------
% 17.67/8.28  % (954154)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954154)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954154)Termination reason: Instruction limit
% 17.67/8.28  % (954154)Termination phase: Saturation
% 17.67/8.28  % (954154)Time elapsed: 0.150 s
% 17.67/8.28  % (954154)Peak memory usage: 12 MB
% 17.67/8.28  % (954154)Instructions burned: 180 (million)
% 17.67/8.28  % (954159)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=882434327:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 17.67/8.28  % TRYING [1]
% 17.67/8.28  % TRYING [2]
% 17.67/8.28  % TRYING [3]
% 17.67/8.28  % (954149)Instruction limit reached! 
% 17.67/8.28  % (954149)------------------------------
% 17.67/8.28  % (954149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954149)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954149)Termination reason: Instruction limit
% 17.67/8.28  % (954149)Termination phase: Finite model building SAT solving
% 17.67/8.28  % (954149)Time elapsed: 0.341 s
% 17.67/8.28  % (954149)Peak memory usage: 17 MB
% 17.67/8.28  % (954149)Instructions burned: 715 (million)
% 17.67/8.28  % TRYING [4]
% 17.67/8.28  % (954161)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3357776426:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 17.67/8.28  % TRYING [5]
% 17.67/8.28  % (954152)Instruction limit reached! 
% 17.67/8.28  % (954152)------------------------------
% 17.67/8.28  % (954152)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954152)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954152)Termination reason: Instruction limit
% 17.67/8.28  % (954152)Termination phase: Saturation
% 17.67/8.28  % (954152)Time elapsed: 0.641 s
% 17.67/8.28  % (954152)Peak memory usage: 16 MB
% 17.67/8.28  % (954152)Instructions burned: 684 (million)
% 17.67/8.28  % (954163)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3819260893:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 17.67/8.28  % (954157)Instruction limit reached! 
% 17.67/8.28  % (954157)------------------------------
% 17.67/8.28  % (954157)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954157)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954157)Termination reason: Instruction limit
% 17.67/8.28  % (954157)Termination phase: Saturation
% 17.67/8.28  % (954157)Time elapsed: 0.538 s
% 17.67/8.28  % (954157)Peak memory usage: 12 MB
% 17.67/8.28  % (954157)Instructions burned: 478 (million)
% 17.67/8.28  % (954165)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=1355160285:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 17.67/8.28  % TRYING [14]
% 17.67/8.28  % (954161)Instruction limit reached! 
% 17.67/8.28  % (954161)------------------------------
% 17.67/8.28  % (954161)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954161)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954161)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954161)Termination reason: Instruction limit
% 17.67/8.28  % (954161)Termination phase: Saturation
% 17.67/8.28  % (954161)Time elapsed: 0.644 s
% 17.67/8.28  % (954161)Peak memory usage: 24 MB
% 17.67/8.28  % (954161)Instructions burned: 1181 (million)
% 17.67/8.28  % (954159)Instruction limit reached! 
% 17.67/8.28  % (954159)------------------------------
% 17.67/8.28  % (954159)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954159)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954159)Termination reason: Instruction limit
% 17.67/8.28  % (954159)Termination phase: Finite model building SAT solving
% 17.67/8.28  % (954159)Time elapsed: 0.717 s
% 17.67/8.28  % (954159)Peak memory usage: 13 MB
% 17.67/8.28  % (954159)Instructions burned: 865 (million)
% 17.67/8.28  % (954167)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1138491191:i=879:kws=inv_precedence:fsr=off_2988 on theBenchmark for (2988ds/879Mi)
% 17.67/8.28  % (954168)fmb+10_1_sil=64000:random_seed=4205338382:i=22061:nm=2:gsp=on_2988 on theBenchmark for (2988ds/22061Mi)
% 17.67/8.28  % TRYING [1]
% 17.67/8.28  % TRYING [2]
% 17.67/8.28  % TRYING [3]
% 17.67/8.28  % TRYING [4]
% 17.67/8.28  % TRYING [5]
% 17.67/8.28  % (954163)Instruction limit reached! 
% 17.67/8.28  % (954163)------------------------------
% 17.67/8.28  % (954163)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954163)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954163)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954163)Termination reason: Instruction limit
% 17.67/8.28  % (954163)Termination phase: Finite model building constraint generation
% 17.67/8.28  % (954163)Time elapsed: 0.616 s
% 17.67/8.28  % (954163)Peak memory usage: 69 MB
% 17.67/8.28  % (954163)Instructions burned: 890 (million)
% 17.67/8.28  % (954171)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4230079019:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 17.67/8.28  % TRYING [20]
% 17.67/8.28  % (954167)Instruction limit reached! 
% 17.67/8.28  % (954167)------------------------------
% 17.67/8.28  % (954167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954167)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954167)Termination reason: Instruction limit
% 17.67/8.28  % (954167)Termination phase: Saturation
% 17.67/8.28  % (954167)Time elapsed: 0.414 s
% 17.67/8.28  % (954167)Peak memory usage: 17 MB
% 17.67/8.28  % (954167)Instructions burned: 879 (million)
% 17.67/8.28  % (954173)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3825390901:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 17.67/8.28  % TRYING [8]
% 17.67/8.28  % (954165)Instruction limit reached! 
% 17.67/8.28  % (954165)------------------------------
% 17.67/8.28  % (954165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954165)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954165)Termination reason: Instruction limit
% 17.67/8.28  % (954165)Termination phase: Saturation
% 17.67/8.28  % (954165)Time elapsed: 0.678 s
% 17.67/8.28  % (954165)Peak memory usage: 27 MB
% 17.67/8.28  % (954165)Instructions burned: 692 (million)
% 17.67/8.28  % (954175)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=990184164:i=5131_2983 on theBenchmark for (2983ds/5131Mi)
% 17.67/8.28  % TRYING [6]
% 17.67/8.28  % (954173)Instruction limit reached! 
% 17.67/8.28  % (954173)------------------------------
% 17.67/8.28  % (954173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954173)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954173)Termination reason: Instruction limit
% 17.67/8.28  % (954173)Termination phase: Finite model building SAT solving
% 17.67/8.28  % (954173)Time elapsed: 0.454 s
% 17.67/8.28  % (954173)Peak memory usage: 51 MB
% 17.67/8.28  % (954173)Instructions burned: 920 (million)
% 17.67/8.28  % (954177)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1606112808:i=1472:ins=7:fdi=8:gsp=on_2979 on theBenchmark for (2979ds/1472Mi)
% 17.67/8.28  % TRYING [6]
% 17.67/8.28  % (954177)Instruction limit reached! 
% 17.67/8.28  % (954177)------------------------------
% 17.67/8.28  % (954177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954177)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954177)Termination reason: Instruction limit
% 17.67/8.28  % (954177)Termination phase: Saturation
% 17.67/8.28  % (954177)Time elapsed: 0.801 s
% 17.67/8.28  % (954177)Peak memory usage: 32 MB
% 17.67/8.28  % (954177)Instructions burned: 1473 (million)
% 17.67/8.28  % (954179)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1916251291:i=6324_2970 on theBenchmark for (2970ds/6324Mi)
% 17.67/8.28  % TRYING [77]
% 17.67/8.28  % (954179)Instruction limit reached! 
% 17.67/8.28  % (954179)------------------------------
% 17.67/8.28  % (954179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954179)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954179)Termination reason: Instruction limit
% 17.67/8.28  % (954179)Termination phase: Finite model building constraint generation
% 17.67/8.28  % (954179)Time elapsed: 2.342 s
% 17.67/8.28  % (954179)Peak memory usage: 458 MB
% 17.67/8.28  % (954179)Instructions burned: 6328 (million)
% 17.67/8.28  % (954181)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3569090955:fmbsr=2.30978:i=2174_2946 on theBenchmark for (2946ds/2174Mi)
% 17.67/8.28  % TRYING [16]
% 17.67/8.28  % (954175)Instruction limit reached! 
% 17.67/8.28  % (954175)------------------------------
% 17.67/8.28  % (954175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954175)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954175)Termination reason: Instruction limit
% 17.67/8.28  % (954175)Termination phase: Saturation
% 17.67/8.28  % (954175)Time elapsed: 4.397 s
% 17.67/8.28  % (954175)Peak memory usage: 29 MB
% 17.67/8.28  % (954175)Instructions burned: 5131 (million)
% 17.67/8.28  % (954183)ott-2_1_sil=16000:newcnf=on:random_seed=4178410786:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2939 on theBenchmark for (2939ds/869Mi)
% 17.67/8.28  % (954181)Instruction limit reached! 
% 17.67/8.28  % (954181)------------------------------
% 17.67/8.28  % (954181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954181)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954181)Termination reason: Instruction limit
% 17.67/8.28  % (954181)Termination phase: Finite model building constraint generation
% 17.67/8.28  % (954181)Time elapsed: 0.770 s
% 17.67/8.28  % (954181)Peak memory usage: 132 MB
% 17.67/8.28  % (954181)Instructions burned: 2176 (million)
% 17.67/8.28  % (954185)ott+10_1_sil=32000:tgt=ground:random_seed=1456552977:i=5114:av=off_2937 on theBenchmark for (2937ds/5114Mi)
% 17.67/8.28  % TRYING [7]
% 17.67/8.28  % (954183)Instruction limit reached! 
% 17.67/8.28  % (954183)------------------------------
% 17.67/8.28  % (954183)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954183)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954183)Termination reason: Instruction limit
% 17.67/8.28  % (954183)Termination phase: Saturation
% 17.67/8.28  % (954183)Time elapsed: 0.811 s
% 17.67/8.28  % (954183)Peak memory usage: 15 MB
% 17.67/8.28  % (954183)Instructions burned: 870 (million)
% 17.67/8.28  % (954187)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=647074442:i=54282_2930 on theBenchmark for (2930ds/54282Mi)
% 17.67/8.28  % TRYING [1]
% 17.67/8.28  % TRYING [2]
% 17.67/8.28  % TRYING [3]
% 17.67/8.28  % TRYING [4]
% 17.67/8.28  % TRYING [5]
% 17.67/8.28  % (954185) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-954130-954185"...
% 17.67/8.28  % (954185)...printing done.
% 17.67/8.28  % (954185)Refutation found. Thanks to Tanya!
% 17.67/8.28  % SZS status Unsatisfiable for theBenchmark
% 17.67/8.28  % SZS output start Proof for theBenchmark
% See solution above
% 17.67/8.28  % (954185)------------------------------
% 17.67/8.28  % (954185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 17.67/8.28  % (954185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.67/8.28  % (954185)CaDiCaL version: 2.1.3
% 17.67/8.28  % (954185)Termination reason: Refutation
% 17.67/8.28  % (954185)Time elapsed: 1.327 s
% 17.67/8.28  % (954185)Peak memory usage: 29 MB
% 17.67/8.28  % (954185)Instructions burned: 2502 (million)
% 17.67/8.28  % (954130)Success in time 7.713 s
% 17.67/8.28  % Vampire exiting
%------------------------------------------------------------------------------