%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL278-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:51:51 AM UTC 2026
% Result : Unsatisfiable 42.80s 12.61s
% Output : Refutation 83.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 75
% Number of leaves : 33
% Syntax : Number of formulae : 298 ( 298 unt; 21 def)
% Number of atoms : 298 ( 297 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 25 con; 0-4 aty)
% Number of variables : 336 ( 336 !; 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] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_3) ).
fof(f4,plain,
! [X0,X1] : true = axiom(implies(X0,or(X1,X0))),
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_4) ).
fof(f6,plain,
! [X0,X1] : true = axiom(implies(or(X0,X1),or(X1,X0))),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_5) ).
fof(f8,plain,
! [X2,X0,X1] : true = axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1_6) ).
fof(f10,plain,
! [X2,X0,X1] : true = axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_1) ).
fof(f13,plain,
! [X0] : true = ifeq(axiom(X0),true,theorem(X0),true),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] : ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true) = true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_2) ).
fof(f15,plain,
! [X0,X1] : true = ifeq(theorem(implies(X0,X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(implies(equivalent(p,q),equivalent(or(p,r),or(q,r)))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(implies(equivalent(p,q),equivalent(or(p,r),or(q,r)))),
inference(reorient_equations,[],[f18]) ).
fof(f20,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f17,f16,f11,f11]) ).
fof(f21,plain,
true != theorem(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(or(not(or(not(or(p,r)),or(q,r))),not(or(not(or(q,r)),or(p,r))))))),
inference(definition_unfolding,[],[f19,f11,f20,f20]) ).
fof(f22,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,ifeq(theorem(X0),true,theorem(X1),true),true),
inference(definition_unfolding,[],[f15,f11]) ).
fof(f23,plain,
! [X2,X0,X1] : true = axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f10,f11,f11,f11]) ).
fof(f24,plain,
! [X2,X0,X1] : true = axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f8,f11]) ).
fof(f25,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,f11]) ).
fof(f26,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f27,plain,
! [X0] : true = axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f2,f11]) ).
fof(f28,definition,
sF0 = not(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
not(p) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = or(sF0,q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
or(sF0,q) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = not(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
not(sF1) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = not(q),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
not(q) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = or(sF3,p),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
or(sF3,p) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = not(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
not(sF4) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = or(sF2,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
or(sF2,sF5) = sF6,
inference(reorient_equations,[],[f40]) ).
fof(f42,definition,
sF7 = not(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f43,plain,
not(sF6) = sF7,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF8 = not(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
not(sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = or(p,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
or(p,r) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = not(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
not(sF9) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = or(q,r),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
or(q,r) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = or(sF10,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
or(sF10,sF11) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = not(sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
not(sF12) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = not(sF11),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
not(sF11) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = or(sF14,sF9),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
or(sF14,sF9) = sF15,
inference(reorient_equations,[],[f58]) ).
fof(f60,definition,
sF16 = not(sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f61,plain,
not(sF15) = sF16,
inference(reorient_equations,[],[f60]) ).
fof(f62,definition,
sF17 = or(sF13,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
or(sF13,sF16) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,definition,
sF18 = not(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f65,plain,
not(sF17) = sF18,
inference(reorient_equations,[],[f64]) ).
fof(f66,definition,
sF19 = or(sF8,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f67,plain,
or(sF8,sF18) = sF19,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF20 = theorem(sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f69,plain,
theorem(sF19) = sF20,
inference(reorient_equations,[],[f68]) ).
fof(f70,plain,
true != sF20,
inference(definition_folding,[],[f21,f69,f67,f65,f63,f61,f59,f47,f57,f51,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f94,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF19)),true,ifeq(theorem(X0),true,sF20,true),true),
inference(superposition,[],[f22,f69]) ).
fof(f169,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f25]) ).
fof(f170,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),true),
inference(superposition,[],[f13,f24]) ).
fof(f171,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),true),
inference(superposition,[],[f13,f23]) ).
fof(f172,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f27]) ).
fof(f174,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f175,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f171,f1]) ).
fof(f176,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f170,f1]) ).
fof(f177,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f196,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),true),
inference(superposition,[],[f22,f176]) ).
fof(f202,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f196,f1]) ).
fof(f232,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),true),
inference(superposition,[],[f22,f175]) ).
fof(f238,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X2,X0)),or(X2,X1))),true),
inference(forward_demodulation,[],[f232,f1]) ).
fof(f271,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f26]) ).
fof(f272,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f271,f1]) ).
fof(f302,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f22,f177]) ).
fof(f308,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f302,f1]) ).
fof(f328,plain,
true = theorem(or(not(r),sF9)),
inference(superposition,[],[f272,f47]) ).
fof(f329,plain,
true = theorem(or(not(r),sF11)),
inference(superposition,[],[f272,f51]) ).
fof(f352,plain,
! [X0] : true = ifeq(theorem(or(X0,sF4)),true,theorem(or(sF3,or(X0,p))),true),
inference(superposition,[],[f202,f37]) ).
fof(f358,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),true),
inference(superposition,[],[f202,f175]) ).
fof(f381,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f358,f1]) ).
fof(f412,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),true),
inference(superposition,[],[f22,f381]) ).
fof(f421,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X1),X2)),or(X0,X2))),true),
inference(forward_demodulation,[],[f412,f1]) ).
fof(f445,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X3,or(X0,or(X1,X2)))),or(X3,or(X1,or(X0,X2))))),true),
inference(superposition,[],[f238,f176]) ).
fof(f448,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f238,f177]) ).
fof(f449,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f238,f174]) ).
fof(f450,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f238,f272]) ).
fof(f451,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(not(sF9),or(p,X0))),true),
inference(superposition,[],[f238,f47]) ).
fof(f452,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(not(sF11),or(q,X0))),true),
inference(superposition,[],[f238,f51]) ).
fof(f453,plain,
! [X0] : true = ifeq(theorem(or(not(q),X0)),true,theorem(or(not(sF1),or(sF0,X0))),true),
inference(superposition,[],[f238,f31]) ).
fof(f458,plain,
! [X0] : true = ifeq(theorem(or(not(sF16),X0)),true,theorem(or(not(sF17),or(sF13,X0))),true),
inference(superposition,[],[f238,f63]) ).
fof(f477,plain,
! [X0] : true = ifeq(theorem(or(not(sF16),X0)),true,theorem(or(sF18,or(sF13,X0))),true),
inference(forward_demodulation,[],[f458,f65]) ).
fof(f481,plain,
! [X0] : true = ifeq(theorem(or(not(q),X0)),true,theorem(or(sF2,or(sF0,X0))),true),
inference(forward_demodulation,[],[f453,f33]) ).
fof(f482,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(sF14,or(q,X0))),true),
inference(forward_demodulation,[],[f452,f57]) ).
fof(f483,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(sF10,or(p,X0))),true),
inference(forward_demodulation,[],[f451,f49]) ).
fof(f484,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f450,f1]) ).
fof(f485,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f449,f1]) ).
fof(f486,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f448,f1]) ).
fof(f489,plain,
! [X2,X3,X0,X1] : true = theorem(or(not(or(X3,or(X0,or(X1,X2)))),or(X3,or(X1,or(X0,X2))))),
inference(forward_demodulation,[],[f445,f1]) ).
fof(f493,plain,
! [X0] : true = ifeq(theorem(or(sF3,X0)),true,theorem(or(sF2,or(sF0,X0))),true),
inference(forward_demodulation,[],[f481,f35]) ).
fof(f526,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f22,f486]) ).
fof(f534,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f526,f1]) ).
fof(f552,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f534,f272]) ).
fof(f571,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f552,f1]) ).
fof(f645,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f22,f484]) ).
fof(f659,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f645,f1]) ).
fof(f692,plain,
true = theorem(or(not(q),sF11)),
inference(superposition,[],[f571,f51]) ).
fof(f700,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f238,f571]) ).
fof(f721,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f722,plain,
true = theorem(or(sF3,sF11)),
inference(forward_demodulation,[],[f692,f35]) ).
fof(f766,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f238,f485]) ).
fof(f767,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f22,f485]) ).
fof(f783,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f767,f1]) ).
fof(f784,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f766,f1]) ).
fof(f793,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f783,f571]) ).
fof(f816,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f793,f1]) ).
fof(f848,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f308,f816]) ).
fof(f856,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f848,f1]) ).
fof(f872,plain,
true = theorem(or(sF1,sF2)),
inference(superposition,[],[f856,f33]) ).
fof(f873,plain,
true = theorem(or(sF4,sF5)),
inference(superposition,[],[f856,f39]) ).
fof(f884,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f238,f856]) ).
fof(f906,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f884,f1]) ).
fof(f932,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f534,f906]) ).
fof(f949,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f932,f1]) ).
fof(f987,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f22,f949]) ).
fof(f1007,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f987,f1]) ).
fof(f1065,plain,
! [X0] : true = ifeq(theorem(or(X0,sF11)),true,theorem(or(X0,sF12)),true),
inference(superposition,[],[f659,f53]) ).
fof(f1067,plain,
! [X0] : true = ifeq(theorem(or(X0,sF9)),true,theorem(or(X0,sF15)),true),
inference(superposition,[],[f659,f59]) ).
fof(f1143,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X0)),X2)),or(not(or(X0,X1)),X2))),true),
inference(superposition,[],[f421,f177]) ).
fof(f1153,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f421,f272]) ).
fof(f1154,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f421,f571]) ).
fof(f1189,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f1154,f1]) ).
fof(f1190,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f1153,f1]) ).
fof(f1200,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(or(X0,X1)),X2))),
inference(forward_demodulation,[],[f1143,f1]) ).
fof(f1231,plain,
true = ifeq(true,true,theorem(or(sF3,sF12)),true),
inference(superposition,[],[f1065,f722]) ).
fof(f1247,plain,
true = theorem(or(sF3,sF12)),
inference(forward_demodulation,[],[f1231,f1]) ).
fof(f1385,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,or(X2,X2)))),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f22,f784]) ).
fof(f1411,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,or(X2,X2)))),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1385,f1]) ).
fof(f1488,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f22,f721]) ).
fof(f1514,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1488,f1]) ).
fof(f1556,plain,
! [X0] : true = ifeq(theorem(or(X0,p)),true,theorem(or(X0,sF9)),true),
inference(superposition,[],[f1514,f47]) ).
fof(f1561,plain,
! [X0] : true = ifeq(theorem(or(X0,sF8)),true,theorem(or(X0,sF19)),true),
inference(superposition,[],[f1514,f67]) ).
fof(f2023,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X0))),or(X1,X0))),true),
inference(superposition,[],[f1411,f176]) ).
fof(f2024,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(or(not(X1),X0)),X0))),true),
inference(superposition,[],[f1411,f381]) ).
fof(f2078,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(or(not(X1),X0)),X0))),
inference(forward_demodulation,[],[f2024,f1]) ).
fof(f2079,plain,
! [X0,X1] : true = theorem(or(not(or(X0,or(X1,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f2023,f1]) ).
fof(f2312,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),true),
inference(superposition,[],[f22,f1190]) ).
fof(f2344,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
inference(forward_demodulation,[],[f2312,f1]) ).
fof(f2571,plain,
! [X0] : true = ifeq(theorem(or(not(sF6),X0)),true,theorem(or(not(sF5),X0)),true),
inference(superposition,[],[f2344,f41]) ).
fof(f2668,plain,
! [X0] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(not(sF5),X0)),true),
inference(forward_demodulation,[],[f2571,f43]) ).
fof(f2793,plain,
true = ifeq(true,true,theorem(or(sF2,or(sF0,sF12))),true),
inference(superposition,[],[f493,f1247]) ).
fof(f2814,plain,
true = theorem(or(sF2,or(sF0,sF12))),
inference(forward_demodulation,[],[f2793,f1]) ).
fof(f3016,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(or(X1,X0)),X2)),true),true),
inference(superposition,[],[f22,f1200]) ).
fof(f3050,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(or(X1,X0)),X2)),true),
inference(forward_demodulation,[],[f3016,f1]) ).
fof(f3081,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(not(or(not(X1),X0)),X0))),true),
inference(superposition,[],[f3050,f2078]) ).
fof(f3092,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(not(or(not(X1),X2)),or(X0,X2)))),true),
inference(superposition,[],[f3050,f381]) ).
fof(f3163,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X1,X0)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(forward_demodulation,[],[f3092,f1]) ).
fof(f3174,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(not(or(not(X1),X0)),X0))),
inference(forward_demodulation,[],[f3081,f1]) ).
fof(f3833,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X0),X2)),or(X1,X2))),true),true),
inference(superposition,[],[f22,f3163]) ).
fof(f3867,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X0),X2)),or(X1,X2))),true),
inference(forward_demodulation,[],[f3833,f1]) ).
fof(f5223,plain,
true = ifeq(true,true,theorem(or(sF10,or(p,sF11))),true),
inference(superposition,[],[f483,f329]) ).
fof(f5262,plain,
true = theorem(or(sF10,or(p,sF11))),
inference(forward_demodulation,[],[f5223,f1]) ).
fof(f5287,plain,
true = ifeq(true,true,theorem(or(sF14,or(q,sF9))),true),
inference(superposition,[],[f482,f328]) ).
fof(f5324,plain,
true = theorem(or(sF14,or(q,sF9))),
inference(forward_demodulation,[],[f5287,f1]) ).
fof(f5390,plain,
true = ifeq(true,true,theorem(or(not(sF5),not(sF7))),true),
inference(superposition,[],[f2668,f856]) ).
fof(f5404,plain,
true = theorem(or(not(sF5),not(sF7))),
inference(forward_demodulation,[],[f5390,f1]) ).
fof(f5411,plain,
true = theorem(or(not(sF5),sF8)),
inference(forward_demodulation,[],[f5404,f45]) ).
fof(f5416,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF5)),or(X0,sF8))),true),
inference(superposition,[],[f238,f5411]) ).
fof(f5446,plain,
! [X0] : true = theorem(or(not(or(X0,sF5)),or(X0,sF8))),
inference(forward_demodulation,[],[f5416,f1]) ).
fof(f5457,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF5)),true,theorem(or(X0,sF8)),true),true),
inference(superposition,[],[f22,f5446]) ).
fof(f5493,plain,
! [X0] : true = ifeq(theorem(or(X0,sF5)),true,theorem(or(X0,sF8)),true),
inference(forward_demodulation,[],[f5457,f1]) ).
fof(f7034,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X0),X1)),X1)),true),true),
inference(superposition,[],[f22,f3174]) ).
fof(f7070,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(or(not(X0),X1)),X1)),true),
inference(forward_demodulation,[],[f7034,f1]) ).
fof(f9782,plain,
true = ifeq(true,true,theorem(or(p,or(sF10,sF11))),true),
inference(superposition,[],[f202,f5262]) ).
fof(f9818,plain,
true = theorem(or(p,or(sF10,sF11))),
inference(forward_demodulation,[],[f9782,f1]) ).
fof(f9822,plain,
true = theorem(or(p,sF12)),
inference(forward_demodulation,[],[f9818,f53]) ).
fof(f9826,plain,
true = ifeq(true,true,theorem(or(sF12,p)),true),
inference(superposition,[],[f308,f9822]) ).
fof(f9852,plain,
true = theorem(or(sF12,p)),
inference(forward_demodulation,[],[f9826,f1]) ).
fof(f9863,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF12,X0))),true),
inference(superposition,[],[f421,f9852]) ).
fof(f9886,plain,
! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF12,X0))),
inference(forward_demodulation,[],[f9863,f1]) ).
fof(f9894,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF12,X0))),
inference(forward_demodulation,[],[f9886,f29]) ).
fof(f11027,plain,
true = ifeq(true,true,theorem(or(q,or(sF14,sF9))),true),
inference(superposition,[],[f202,f5324]) ).
fof(f11063,plain,
true = theorem(or(q,or(sF14,sF9))),
inference(forward_demodulation,[],[f11027,f1]) ).
fof(f11067,plain,
true = theorem(or(q,sF15)),
inference(forward_demodulation,[],[f11063,f59]) ).
fof(f11077,plain,
true = ifeq(true,true,theorem(or(not(not(sF15)),q)),true),
inference(superposition,[],[f1007,f11067]) ).
fof(f11093,plain,
true = theorem(or(not(not(sF15)),q)),
inference(forward_demodulation,[],[f11077,f1]) ).
fof(f11100,plain,
true = theorem(or(not(sF16),q)),
inference(forward_demodulation,[],[f11093,f61]) ).
fof(f11180,plain,
true = ifeq(true,true,theorem(or(sF18,or(sF13,q))),true),
inference(superposition,[],[f477,f11100]) ).
fof(f11222,plain,
true = theorem(or(sF18,or(sF13,q))),
inference(forward_demodulation,[],[f11180,f1]) ).
fof(f11229,plain,
true = ifeq(true,true,theorem(or(sF13,or(sF18,q))),true),
inference(superposition,[],[f202,f11222]) ).
fof(f11265,plain,
true = theorem(or(sF13,or(sF18,q))),
inference(forward_demodulation,[],[f11229,f1]) ).
fof(f13768,plain,
! [X2,X3,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,or(X2,X3)))),true,theorem(or(X0,or(X2,or(X1,X3)))),true),true),
inference(superposition,[],[f22,f489]) ).
fof(f13813,plain,
! [X2,X3,X0,X1] : true = ifeq(theorem(or(X0,or(X1,or(X2,X3)))),true,theorem(or(X0,or(X2,or(X1,X3)))),true),
inference(forward_demodulation,[],[f13768,f1]) ).
fof(f13836,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X1,X2))),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f13813,f486]) ).
fof(f13969,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f13836,f1]) ).
fof(f15735,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,or(X1,X0)))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f238,f2079]) ).
fof(f15792,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X0)))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f15735,f1]) ).
fof(f16106,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,or(X2,X1)))),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f22,f15792]) ).
fof(f16162,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,or(X2,X1)))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f16106,f1]) ).
fof(f16175,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,or(X0,X1))),or(X1,X0))),true),
inference(superposition,[],[f16162,f486]) ).
fof(f16459,plain,
! [X0,X1] : true = theorem(or(not(or(X0,or(X0,X1))),or(X1,X0))),
inference(forward_demodulation,[],[f16175,f1]) ).
fof(f17096,plain,
true = ifeq(true,true,theorem(or(sF2,or(sF12,sF0))),true),
inference(superposition,[],[f534,f2814]) ).
fof(f17135,plain,
true = theorem(or(sF2,or(sF12,sF0))),
inference(forward_demodulation,[],[f17096,f1]) ).
fof(f17216,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X0),X2)),true),true),
inference(superposition,[],[f22,f1189]) ).
fof(f17275,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X0),X2)),true),
inference(forward_demodulation,[],[f17216,f1]) ).
fof(f17295,plain,
! [X0] : true = ifeq(theorem(or(not(sF6),X0)),true,theorem(or(not(sF2),X0)),true),
inference(superposition,[],[f17275,f41]) ).
fof(f17565,plain,
! [X0] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(not(sF2),X0)),true),
inference(forward_demodulation,[],[f17295,f43]) ).
fof(f17757,plain,
true = ifeq(true,true,theorem(or(not(sF2),not(sF7))),true),
inference(superposition,[],[f17565,f856]) ).
fof(f17773,plain,
true = theorem(or(not(sF2),not(sF7))),
inference(forward_demodulation,[],[f17757,f1]) ).
fof(f17792,plain,
true = theorem(or(not(sF2),sF8)),
inference(forward_demodulation,[],[f17773,f45]) ).
fof(f17798,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF2)),or(X0,sF8))),true),
inference(superposition,[],[f238,f17792]) ).
fof(f17835,plain,
! [X0] : true = theorem(or(not(or(X0,sF2)),or(X0,sF8))),
inference(forward_demodulation,[],[f17798,f1]) ).
fof(f17850,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF2)),true,theorem(or(X0,sF8)),true),true),
inference(superposition,[],[f22,f17835]) ).
fof(f17902,plain,
! [X0] : true = ifeq(theorem(or(X0,sF2)),true,theorem(or(X0,sF8)),true),
inference(forward_demodulation,[],[f17850,f1]) ).
fof(f24514,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X0,X1))),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f22,f16459]) ).
fof(f24594,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X0,X1))),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f24514,f1]) ).
fof(f27064,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X2,or(X0,X1))),true),true),
inference(superposition,[],[f22,f13969]) ).
fof(f27150,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X2,or(X0,X1))),true),
inference(forward_demodulation,[],[f27064,f1]) ).
fof(f34698,plain,
true = ifeq(true,true,theorem(or(sF4,sF8)),true),
inference(superposition,[],[f5493,f873]) ).
fof(f34746,plain,
true = theorem(or(sF4,sF8)),
inference(forward_demodulation,[],[f34698,f1]) ).
fof(f34757,plain,
true = ifeq(true,true,theorem(or(sF4,sF19)),true),
inference(superposition,[],[f1561,f34746]) ).
fof(f34799,plain,
true = theorem(or(sF4,sF19)),
inference(forward_demodulation,[],[f34757,f1]) ).
fof(f34808,plain,
true = ifeq(true,true,theorem(or(sF19,sF4)),true),
inference(superposition,[],[f308,f34799]) ).
fof(f34848,plain,
true = theorem(or(sF19,sF4)),
inference(forward_demodulation,[],[f34808,f1]) ).
fof(f34853,plain,
true = ifeq(true,true,theorem(or(sF3,or(sF19,p))),true),
inference(superposition,[],[f352,f34848]) ).
fof(f34897,plain,
true = theorem(or(sF3,or(sF19,p))),
inference(forward_demodulation,[],[f34853,f1]) ).
fof(f36448,plain,
true = ifeq(true,true,theorem(or(sF1,sF8)),true),
inference(superposition,[],[f17902,f872]) ).
fof(f36498,plain,
true = theorem(or(sF1,sF8)),
inference(forward_demodulation,[],[f36448,f1]) ).
fof(f36519,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF1),X0)),or(sF8,X0))),true),
inference(superposition,[],[f3867,f36498]) ).
fof(f36539,plain,
! [X0] : true = theorem(or(not(or(not(sF1),X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f36519,f1]) ).
fof(f36550,plain,
! [X0] : true = theorem(or(not(or(sF2,X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f36539,f33]) ).
fof(f37180,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF2,X0)),true,theorem(or(sF8,X0)),true),true),
inference(superposition,[],[f22,f36550]) ).
fof(f37281,plain,
! [X0] : true = ifeq(theorem(or(sF2,X0)),true,theorem(or(sF8,X0)),true),
inference(forward_demodulation,[],[f37180,f1]) ).
fof(f37289,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF12,sF0))),true),
inference(superposition,[],[f37281,f17135]) ).
fof(f37324,plain,
true = theorem(or(sF8,or(sF12,sF0))),
inference(forward_demodulation,[],[f37289,f1]) ).
fof(f37601,plain,
true = ifeq(true,true,theorem(or(sF12,or(sF8,sF0))),true),
inference(superposition,[],[f202,f37324]) ).
fof(f37663,plain,
true = theorem(or(sF12,or(sF8,sF0))),
inference(forward_demodulation,[],[f37601,f1]) ).
fof(f37679,plain,
true = ifeq(true,true,theorem(or(sF0,or(sF12,sF8))),true),
inference(superposition,[],[f27150,f37663]) ).
fof(f37725,plain,
true = theorem(or(sF0,or(sF12,sF8))),
inference(forward_demodulation,[],[f37679,f1]) ).
fof(f40450,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF0,X0)),true,theorem(or(sF12,X0)),true),true),
inference(superposition,[],[f22,f9894]) ).
fof(f40553,plain,
! [X0] : true = ifeq(theorem(or(sF0,X0)),true,theorem(or(sF12,X0)),true),
inference(forward_demodulation,[],[f40450,f1]) ).
fof(f40573,plain,
true = ifeq(true,true,theorem(or(sF12,or(sF12,sF8))),true),
inference(superposition,[],[f40553,f37725]) ).
fof(f40615,plain,
true = theorem(or(sF12,or(sF12,sF8))),
inference(forward_demodulation,[],[f40573,f1]) ).
fof(f40922,plain,
true = ifeq(true,true,theorem(or(sF8,sF12)),true),
inference(superposition,[],[f24594,f40615]) ).
fof(f40987,plain,
true = theorem(or(sF8,sF12)),
inference(forward_demodulation,[],[f40922,f1]) ).
fof(f41000,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF12),X0)),or(sF8,X0))),true),
inference(superposition,[],[f421,f40987]) ).
fof(f41039,plain,
! [X0] : true = theorem(or(not(or(not(sF12),X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f41000,f1]) ).
fof(f41044,plain,
! [X0] : true = theorem(or(not(or(sF13,X0)),or(sF8,X0))),
inference(forward_demodulation,[],[f41039,f55]) ).
fof(f41199,plain,
true = theorem(or(not(sF17),or(sF8,sF16))),
inference(superposition,[],[f41044,f63]) ).
fof(f41206,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF13,X0)),true,theorem(or(sF8,X0)),true),true),
inference(superposition,[],[f22,f41044]) ).
fof(f41309,plain,
! [X0] : true = ifeq(theorem(or(sF13,X0)),true,theorem(or(sF8,X0)),true),
inference(forward_demodulation,[],[f41206,f1]) ).
fof(f41313,plain,
true = theorem(or(sF18,or(sF8,sF16))),
inference(forward_demodulation,[],[f41199,f65]) ).
fof(f41316,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF18,sF16))),true),
inference(superposition,[],[f202,f41313]) ).
fof(f41380,plain,
true = theorem(or(sF8,or(sF18,sF16))),
inference(forward_demodulation,[],[f41316,f1]) ).
fof(f41391,plain,
true = ifeq(true,true,theorem(or(sF8,or(sF18,q))),true),
inference(superposition,[],[f41309,f11265]) ).
fof(f41424,plain,
true = theorem(or(sF8,or(sF18,q))),
inference(forward_demodulation,[],[f41391,f1]) ).
fof(f41451,plain,
true = ifeq(true,true,theorem(or(q,or(sF8,sF18))),true),
inference(superposition,[],[f27150,f41424]) ).
fof(f41499,plain,
true = theorem(or(q,or(sF8,sF18))),
inference(forward_demodulation,[],[f41451,f1]) ).
fof(f41502,plain,
true = theorem(or(q,sF19)),
inference(forward_demodulation,[],[f41499,f67]) ).
fof(f41518,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(q),X0)),or(sF19,X0))),true),
inference(superposition,[],[f3867,f41502]) ).
fof(f41540,plain,
! [X0] : true = theorem(or(not(or(not(q),X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f41518,f1]) ).
fof(f41551,plain,
! [X0] : true = theorem(or(not(or(sF3,X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f41540,f35]) ).
fof(f42533,plain,
true = ifeq(true,true,theorem(or(sF16,or(sF8,sF18))),true),
inference(superposition,[],[f27150,f41380]) ).
fof(f42581,plain,
true = theorem(or(sF16,or(sF8,sF18))),
inference(forward_demodulation,[],[f42533,f1]) ).
fof(f42584,plain,
true = theorem(or(sF16,sF19)),
inference(forward_demodulation,[],[f42581,f67]) ).
fof(f42605,plain,
true = ifeq(true,true,theorem(or(not(or(not(sF16),sF19)),sF19)),true),
inference(superposition,[],[f7070,f42584]) ).
fof(f42625,plain,
true = theorem(or(not(or(not(sF16),sF19)),sF19)),
inference(forward_demodulation,[],[f42605,f1]) ).
fof(f46012,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF3,X0)),true,theorem(or(sF19,X0)),true),true),
inference(superposition,[],[f22,f41551]) ).
fof(f46115,plain,
! [X0] : true = ifeq(theorem(or(sF3,X0)),true,theorem(or(sF19,X0)),true),
inference(forward_demodulation,[],[f46012,f1]) ).
fof(f46203,plain,
true = ifeq(true,true,theorem(or(sF19,or(sF19,p))),true),
inference(superposition,[],[f46115,f34897]) ).
fof(f46279,plain,
true = theorem(or(sF19,or(sF19,p))),
inference(forward_demodulation,[],[f46203,f1]) ).
fof(f46489,plain,
true = ifeq(true,true,theorem(or(p,sF19)),true),
inference(superposition,[],[f24594,f46279]) ).
fof(f46554,plain,
true = theorem(or(p,sF19)),
inference(forward_demodulation,[],[f46489,f1]) ).
fof(f46559,plain,
true = ifeq(true,true,theorem(or(sF19,p)),true),
inference(superposition,[],[f308,f46554]) ).
fof(f46601,plain,
true = theorem(or(sF19,p)),
inference(forward_demodulation,[],[f46559,f1]) ).
fof(f46609,plain,
true = ifeq(true,true,theorem(or(sF19,sF9)),true),
inference(superposition,[],[f1556,f46601]) ).
fof(f46656,plain,
true = theorem(or(sF19,sF9)),
inference(forward_demodulation,[],[f46609,f1]) ).
fof(f46667,plain,
true = ifeq(true,true,theorem(or(sF19,sF15)),true),
inference(superposition,[],[f1067,f46656]) ).
fof(f46714,plain,
true = theorem(or(sF19,sF15)),
inference(forward_demodulation,[],[f46667,f1]) ).
fof(f46782,plain,
true = ifeq(true,true,theorem(or(not(not(sF15)),sF19)),true),
inference(superposition,[],[f1007,f46714]) ).
fof(f46814,plain,
true = theorem(or(not(not(sF15)),sF19)),
inference(forward_demodulation,[],[f46782,f1]) ).
fof(f46820,plain,
true = theorem(or(not(sF16),sF19)),
inference(forward_demodulation,[],[f46814,f61]) ).
fof(f46910,plain,
true = ifeq(theorem(or(not(or(not(sF16),sF19)),sF19)),true,ifeq(true,true,sF20,true),true),
inference(superposition,[],[f94,f46820]) ).
fof(f46916,plain,
true = ifeq(theorem(or(not(or(not(sF16),sF19)),sF19)),true,sF20,true),
inference(forward_demodulation,[],[f46910,f1]) ).
fof(f46936,plain,
true = ifeq(true,true,sF20,true),
inference(forward_demodulation,[],[f46916,f42625]) ).
fof(f46938,plain,
true = sF20,
inference(forward_demodulation,[],[f46936,f1]) ).
fof(f46939,plain,
$false,
inference(forward_subsumption_resolution,[],[f46938,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL278-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 % Computer : n007.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 15:30:25 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 Running first-order theorem proving
% 0.14/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 42.80/12.61 % (1593846)Detected a unit-equality problem, will run specialized UEQ schedule.
% 42.80/12.61 % (1593901)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=779290122:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 42.80/12.61 % (1593897)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=549441743:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 42.80/12.61 % (1593896)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=957300165:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 42.80/12.61 % (1593902)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2499327645:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 42.80/12.61 % (1593899)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1256620333:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 42.80/12.61 % (1593900)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=685339284:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 42.80/12.61 % (1593898)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=644609517:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 42.80/12.61 % (1593901)Instruction limit reached!
% 42.80/12.61 % (1593901)------------------------------
% 42.80/12.61 % (1593901)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593901)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593901)Termination reason: Instruction limit
% 42.80/12.61 % (1593901)Termination phase: Saturation
% 42.80/12.61 % (1593901)Time elapsed: 0.135 s
% 42.80/12.61 % (1593901)Peak memory usage: 91 MB
% 42.80/12.61 % (1593901)Instructions burned: 259 (million)
% 42.80/12.61 % (1593899)Instruction limit reached!
% 42.80/12.61 % (1593899)------------------------------
% 42.80/12.61 % (1593899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593899)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593899)Termination reason: Instruction limit
% 42.80/12.61 % (1593899)Termination phase: Saturation
% 42.80/12.61 % (1593899)Time elapsed: 0.136 s
% 42.80/12.61 % (1593899)Peak memory usage: 89 MB
% 42.80/12.61 % (1593899)Instructions burned: 136 (million)
% 42.80/12.61 % (1593900)Instruction limit reached!
% 42.80/12.61 % (1593900)------------------------------
% 42.80/12.61 % (1593900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593900)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593900)Termination reason: Instruction limit
% 42.80/12.61 % (1593900)Termination phase: Saturation
% 42.80/12.61 % (1593900)Time elapsed: 0.178 s
% 42.80/12.61 % (1593900)Peak memory usage: 89 MB
% 42.80/12.61 % (1593900)Instructions burned: 181 (million)
% 42.80/12.61 % (1593915)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1798473336:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 42.80/12.61 % (1593916)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=157184505:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 42.80/12.61 % (1593917)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2486954602:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 42.80/12.61 % (1593917)Instruction limit reached!
% 42.80/12.61 % (1593917)------------------------------
% 42.80/12.61 % (1593917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593917)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593917)Termination reason: Instruction limit
% 42.80/12.61 % (1593917)Termination phase: Saturation
% 42.80/12.61 % (1593917)Time elapsed: 0.188 s
% 42.80/12.61 % (1593917)Peak memory usage: 88 MB
% 42.80/12.61 % (1593917)Instructions burned: 215 (million)
% 42.80/12.61 % (1593927)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3413577292:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 42.80/12.61 % (1593902)Instruction limit reached!
% 42.80/12.61 % (1593902)------------------------------
% 42.80/12.61 % (1593902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593902)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593902)Termination reason: Instruction limit
% 42.80/12.61 % (1593902)Termination phase: Saturation
% 42.80/12.61 % (1593902)Time elapsed: 1.120 s
% 42.80/12.61 % (1593902)Peak memory usage: 101 MB
% 42.80/12.61 % (1593902)Instructions burned: 1188 (million)
% 42.80/12.61 % (1593927)Instruction limit reached!
% 42.80/12.61 % (1593927)------------------------------
% 42.80/12.61 % (1593927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593927)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593927)Termination reason: Instruction limit
% 42.80/12.61 % (1593927)Termination phase: Saturation
% 42.80/12.61 % (1593927)Time elapsed: 0.316 s
% 42.80/12.61 % (1593927)Peak memory usage: 94 MB
% 42.80/12.61 % (1593927)Instructions burned: 318 (million)
% 42.80/12.61 % (1593935)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1929441335:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 42.80/12.61 % (1593915)Instruction limit reached!
% 42.80/12.61 % (1593915)------------------------------
% 42.80/12.61 % (1593915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593915)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593915)Termination reason: Instruction limit
% 42.80/12.61 % (1593915)Termination phase: Saturation
% 42.80/12.61 % (1593915)Time elapsed: 1.172 s
% 42.80/12.61 % (1593915)Peak memory usage: 143 MB
% 42.80/12.61 % (1593915)Instructions burned: 2052 (million)
% 42.80/12.61 % (1593937)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2986247792:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2984 on theBenchmark for (2984ds/2836Mi)
% 42.80/12.61 % (1593940)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2968551228:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2982 on theBenchmark for (2982ds/14534Mi)
% 42.80/12.61 % (1593937)Instruction limit reached!
% 42.80/12.61 % (1593937)------------------------------
% 42.80/12.61 % (1593937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593937)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593937)Termination reason: Instruction limit
% 42.80/12.61 % (1593937)Termination phase: Saturation
% 42.80/12.61 % (1593937)Time elapsed: 2.680 s
% 42.80/12.61 % (1593937)Peak memory usage: 123 MB
% 42.80/12.61 % (1593937)Instructions burned: 2837 (million)
% 42.80/12.61 % (1593951)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1021753119:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2955 on theBenchmark for (2955ds/11832Mi)
% 42.80/12.61 % (1593916)Instruction limit reached!
% 42.80/12.61 % (1593916)------------------------------
% 42.80/12.61 % (1593916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593916)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593916)Termination reason: Instruction limit
% 42.80/12.61 % (1593916)Termination phase: Saturation
% 42.80/12.61 % (1593916)Time elapsed: 4.982 s
% 42.80/12.61 % (1593916)Peak memory usage: 169 MB
% 42.80/12.61 % (1593916)Instructions burned: 4948 (million)
% 42.80/12.61 % (1593955)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=1831211197:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 42.80/12.61 % (1593955)Instruction limit reached!
% 42.80/12.61 % (1593955)------------------------------
% 42.80/12.61 % (1593955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593955)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593955)Termination reason: Instruction limit
% 42.80/12.61 % (1593955)Termination phase: Saturation
% 42.80/12.61 % (1593955)Time elapsed: 2.415 s
% 42.80/12.61 % (1593955)Peak memory usage: 142 MB
% 42.80/12.61 % (1593955)Instructions burned: 2279 (million)
% 42.80/12.61 % (1593963)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=2478356525:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2916 on theBenchmark for (2916ds/6225Mi)
% 42.80/12.61 % (1593940)Instruction limit reached!
% 42.80/12.61 % (1593940)------------------------------
% 42.80/12.61 % (1593940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 42.80/12.61 % (1593940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.80/12.61 % (1593940)CaDiCaL version: 2.1.3
% 42.80/12.61 % (1593940)Termination reason: Instruction limit
% 42.80/12.61 % (1593940)Termination phase: Saturation
% 42.80/12.61 % (1593940)Time elapsed: 7.963 s
% 42.80/12.61 % (1593940)Peak memory usage: 261 MB
% 42.80/12.61 % (1593940)Instructions burned: 14535 (million)
% 42.80/12.61 % (1593965)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=3058852135:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2900 on theBenchmark for (2900ds/21755Mi)
% 42.80/12.61 % (1593935)First to succeed.
% 42.80/12.61 % (1593935)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1593846"
% 42.80/12.61 % (1593935)Refutation found. Thanks to Tanya!
% 42.80/12.61 % SZS status Unsatisfiable for theBenchmark
% 42.80/12.61 % SZS output start Proof for theBenchmark
% See solution above
% 83.49/12.85 % (1593935)------------------------------
% 83.49/12.85 % (1593935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 83.49/12.85 % (1593935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 83.49/12.85 % (1593935)CaDiCaL version: 2.1.3
% 83.49/12.85 % (1593935)Termination reason: Refutation
% 83.49/12.85 % (1593935)Time elapsed: 9.476 s
% 83.49/12.85 % (1593935)Peak memory usage: 220 MB
% 83.49/12.85 % (1593935)Instructions burned: 9368 (million)
% 83.49/12.85 % (1593935)------------------------------
% 83.49/12.85 % (1593935)------------------------------
% 83.49/12.85 % (1593846)Success in time 11.676 s
% 83.49/12.85 % Vampire exiting
%------------------------------------------------------------------------------