%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL282-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 11:51:52 AM UTC 2026
% Result : Unsatisfiable 62.17s 10.01s
% Output : Refutation 63.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 132
% Number of leaves : 32
% Syntax : Number of formulae : 341 ( 341 unt; 20 def)
% Number of atoms : 341 ( 340 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 24 con; 0-4 aty)
% Number of variables : 308 ( 308 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)) = true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1_2) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))) = true,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',implies_definition) ).
fof(f12,axiom,
! [X0] : ifeq(axiom(X0),true,theorem(X0),true) = true,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',and_defn) ).
fof(f17,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equivalent_defn) ).
fof(f18,negated_conjecture,
theorem(equivalent(or(p,and(q,r)),and(or(p,q),or(p,r)))) != true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(equivalent(or(p,and(q,r)),and(or(p,q),or(p,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(not(or(not(or(not(or(p,not(or(not(q),not(r))))),not(or(not(or(p,q)),not(or(p,r)))))),not(or(not(not(or(not(or(p,q)),not(or(p,r))))),or(p,not(or(not(q),not(r))))))))),
inference(definition_unfolding,[],[f19,f20,f16,f16]) ).
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(q),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
not(q) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = not(r),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
not(r) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = or(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
or(sF0,sF1) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = not(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
not(sF2) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = or(p,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
or(p,sF3) = 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(p,q),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
or(p,q) = 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 = or(p,r),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
or(p,r) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = not(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
not(sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = or(sF7,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
or(sF7,sF9) = sF10,
inference(reorient_equations,[],[f48]) ).
fof(f50,definition,
sF11 = not(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
not(sF10) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = or(sF5,sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
or(sF5,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,sF4),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
or(sF14,sF4) = 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 = theorem(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f67,plain,
theorem(sF18) = sF19,
inference(reorient_equations,[],[f66]) ).
fof(f68,plain,
true != sF19,
inference(definition_folding,[],[f21,f67,f65,f63,f61,f59,f37,f35,f33,f31,f29,f57,f51,f49,f47,f45,f43,f41,f55,f53,f51,f49,f47,f45,f43,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f92,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF18)),true,ifeq(theorem(X0),true,sF19,true),true),
inference(superposition,[],[f22,f67]) ).
fof(f184,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f25]) ).
fof(f185,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(f186,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f27]) ).
fof(f187,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(f188,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f26]) ).
fof(f190,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f188,f1]) ).
fof(f191,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f187,f1]) ).
fof(f192,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f186,f1]) ).
fof(f193,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f185,f1]) ).
fof(f194,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f184,f1]) ).
fof(f211,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,f193]) ).
fof(f217,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f211,f1]) ).
fof(f218,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,X0)),true,theorem(X0),true),true),
inference(superposition,[],[f22,f192]) ).
fof(f224,plain,
! [X0] : true = ifeq(theorem(or(X0,X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f218,f1]) ).
fof(f241,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f22,f194]) ).
fof(f247,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f241,f1]) ).
fof(f283,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,f191]) ).
fof(f289,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,[],[f283,f1]) ).
fof(f314,plain,
true = theorem(or(not(r),sF8)),
inference(superposition,[],[f190,f45]) ).
fof(f320,plain,
true = theorem(or(not(sF4),sF15)),
inference(superposition,[],[f190,f59]) ).
fof(f328,plain,
true = theorem(or(sF5,sF15)),
inference(forward_demodulation,[],[f320,f39]) ).
fof(f330,plain,
true = theorem(or(sF1,sF8)),
inference(forward_demodulation,[],[f314,f31]) ).
fof(f343,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,[],[f217,f191]) ).
fof(f361,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f343,f1]) ).
fof(f392,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,f361]) ).
fof(f401,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,[],[f392,f1]) ).
fof(f426,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f289,f192]) ).
fof(f427,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f289,f194]) ).
fof(f430,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f289,f190]) ).
fof(f431,plain,
! [X0] : true = ifeq(theorem(or(not(q),X0)),true,theorem(or(not(sF6),or(p,X0))),true),
inference(superposition,[],[f289,f41]) ).
fof(f433,plain,
! [X0] : true = ifeq(theorem(or(not(sF3),X0)),true,theorem(or(not(sF4),or(p,X0))),true),
inference(superposition,[],[f289,f37]) ).
fof(f434,plain,
! [X0] : true = ifeq(theorem(or(not(sF1),X0)),true,theorem(or(not(sF2),or(sF0,X0))),true),
inference(superposition,[],[f289,f33]) ).
fof(f436,plain,
! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(not(sF10),or(sF7,X0))),true),
inference(superposition,[],[f289,f49]) ).
fof(f437,plain,
! [X0] : true = ifeq(theorem(or(not(sF16),X0)),true,theorem(or(not(sF17),or(sF13,X0))),true),
inference(superposition,[],[f289,f63]) ).
fof(f455,plain,
! [X0] : true = ifeq(theorem(or(not(sF16),X0)),true,theorem(or(sF18,or(sF13,X0))),true),
inference(forward_demodulation,[],[f437,f65]) ).
fof(f456,plain,
! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(sF11,or(sF7,X0))),true),
inference(forward_demodulation,[],[f436,f51]) ).
fof(f458,plain,
! [X0] : true = ifeq(theorem(or(not(sF1),X0)),true,theorem(or(sF3,or(sF0,X0))),true),
inference(forward_demodulation,[],[f434,f35]) ).
fof(f459,plain,
! [X0] : true = ifeq(theorem(or(not(sF3),X0)),true,theorem(or(sF5,or(p,X0))),true),
inference(forward_demodulation,[],[f433,f39]) ).
fof(f461,plain,
! [X0] : true = ifeq(theorem(or(not(q),X0)),true,theorem(or(sF7,or(p,X0))),true),
inference(forward_demodulation,[],[f431,f43]) ).
fof(f462,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f430,f1]) ).
fof(f465,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f427,f1]) ).
fof(f466,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f426,f1]) ).
fof(f471,plain,
! [X0] : true = ifeq(theorem(or(sF0,X0)),true,theorem(or(sF7,or(p,X0))),true),
inference(forward_demodulation,[],[f461,f29]) ).
fof(f521,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,f465]) ).
fof(f529,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f521,f1]) ).
fof(f546,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f529,f190]) ).
fof(f564,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f546,f1]) ).
fof(f589,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,f462]) ).
fof(f600,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f589,f1]) ).
fof(f672,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f289,f564]) ).
fof(f677,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X0,or(not(X0),X1))),true),
inference(superposition,[],[f217,f564]) ).
fof(f685,plain,
! [X0,X1] : true = theorem(or(X0,or(not(X0),X1))),
inference(forward_demodulation,[],[f677,f1]) ).
fof(f689,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f672,f1]) ).
fof(f699,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,[],[f289,f466]) ).
fof(f700,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f22,f466]) ).
fof(f714,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f700,f1]) ).
fof(f715,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f699,f1]) ).
fof(f724,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f714,f564]) ).
fof(f745,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f774,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f247,f745]) ).
fof(f780,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f774,f1]) ).
fof(f795,plain,
true = theorem(or(sF11,sF14)),
inference(superposition,[],[f780,f57]) ).
fof(f802,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f289,f780]) ).
fof(f818,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f802,f1]) ).
fof(f834,plain,
! [X0] : true = theorem(or(not(or(X0,sF10)),or(X0,not(sF11)))),
inference(superposition,[],[f818,f51]) ).
fof(f843,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f529,f818]) ).
fof(f858,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f843,f1]) ).
fof(f861,plain,
! [X0] : true = theorem(or(not(or(X0,sF10)),or(X0,sF14))),
inference(forward_demodulation,[],[f834,f57]) ).
fof(f895,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f22,f858]) ).
fof(f913,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f895,f1]) ).
fof(f969,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,[],[f401,f194]) ).
fof(f975,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f401,f190]) ).
fof(f976,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f401,f564]) ).
fof(f1010,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f976,f1]) ).
fof(f1011,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f975,f1]) ).
fof(f1017,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(or(X0,X1)),X2))),
inference(forward_demodulation,[],[f969,f1]) ).
fof(f1055,plain,
! [X0] : true = ifeq(theorem(or(X0,sF11)),true,theorem(or(X0,sF12)),true),
inference(superposition,[],[f600,f53]) ).
fof(f1306,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF10)),true,theorem(or(X0,sF14)),true),true),
inference(superposition,[],[f22,f861]) ).
fof(f1331,plain,
! [X0] : true = ifeq(theorem(or(X0,sF10)),true,theorem(or(X0,sF14)),true),
inference(forward_demodulation,[],[f1306,f1]) ).
fof(f1365,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,f715]) ).
fof(f1390,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,[],[f1365,f1]) ).
fof(f1464,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,f689]) ).
fof(f1489,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1464,f1]) ).
fof(f1530,plain,
! [X0] : true = ifeq(theorem(or(X0,p)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f1489,f41]) ).
fof(f1531,plain,
! [X0] : true = ifeq(theorem(or(X0,p)),true,theorem(or(X0,sF8)),true),
inference(superposition,[],[f1489,f45]) ).
fof(f1535,plain,
! [X0] : true = ifeq(theorem(or(X0,sF7)),true,theorem(or(X0,sF10)),true),
inference(superposition,[],[f1489,f49]) ).
fof(f1537,plain,
! [X0] : true = ifeq(theorem(or(X0,sF14)),true,theorem(or(X0,sF15)),true),
inference(superposition,[],[f1489,f59]) ).
fof(f1685,plain,
! [X0] : true = theorem(or(not(or(not(sF6),X0)),or(not(q),X0))),
inference(superposition,[],[f1011,f41]) ).
fof(f1706,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,f1011]) ).
fof(f1735,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
inference(forward_demodulation,[],[f1706,f1]) ).
fof(f1744,plain,
! [X0] : true = theorem(or(not(or(not(sF6),X0)),or(sF0,X0))),
inference(forward_demodulation,[],[f1685,f29]) ).
fof(f1748,plain,
! [X0] : true = theorem(or(not(or(sF7,X0)),or(sF0,X0))),
inference(forward_demodulation,[],[f1744,f43]) ).
fof(f1752,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF7,X0)),true,theorem(or(sF0,X0)),true),true),
inference(superposition,[],[f22,f1748]) ).
fof(f1781,plain,
! [X0] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(sF0,X0)),true),
inference(forward_demodulation,[],[f1752,f1]) ).
fof(f1931,plain,
! [X0] : true = ifeq(theorem(or(not(sF4),X0)),true,theorem(or(not(sF3),X0)),true),
inference(superposition,[],[f1735,f37]) ).
fof(f1934,plain,
! [X0] : true = ifeq(theorem(or(not(sF10),X0)),true,theorem(or(not(sF9),X0)),true),
inference(superposition,[],[f1735,f49]) ).
fof(f2023,plain,
! [X0] : true = ifeq(theorem(or(sF11,X0)),true,theorem(or(not(sF9),X0)),true),
inference(forward_demodulation,[],[f1934,f51]) ).
fof(f2026,plain,
! [X0] : true = ifeq(theorem(or(sF5,X0)),true,theorem(or(not(sF3),X0)),true),
inference(forward_demodulation,[],[f1931,f39]) ).
fof(f2071,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,f1017]) ).
fof(f2100,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,[],[f2071,f1]) ).
fof(f2896,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),true),
inference(superposition,[],[f1390,f191]) ).
fof(f2955,plain,
! [X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),
inference(forward_demodulation,[],[f2896,f1]) ).
fof(f2996,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X1,X0)),X1)),true),true),
inference(superposition,[],[f22,f2955]) ).
fof(f3028,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X1,X0)),X1)),true),
inference(forward_demodulation,[],[f2996,f1]) ).
fof(f3820,plain,
true = ifeq(true,true,theorem(or(not(not(sF8)),sF1)),true),
inference(superposition,[],[f913,f330]) ).
fof(f3825,plain,
true = ifeq(true,true,theorem(or(not(not(sF15)),sF5)),true),
inference(superposition,[],[f913,f328]) ).
fof(f3851,plain,
true = theorem(or(not(not(sF15)),sF5)),
inference(forward_demodulation,[],[f3825,f1]) ).
fof(f3856,plain,
true = theorem(or(not(not(sF8)),sF1)),
inference(forward_demodulation,[],[f3820,f1]) ).
fof(f3907,plain,
true = theorem(or(not(sF16),sF5)),
inference(forward_demodulation,[],[f3851,f61]) ).
fof(f3912,plain,
true = theorem(or(not(sF9),sF1)),
inference(forward_demodulation,[],[f3856,f47]) ).
fof(f4016,plain,
true = ifeq(true,true,theorem(or(sF18,or(sF13,sF5))),true),
inference(superposition,[],[f455,f3907]) ).
fof(f4049,plain,
true = theorem(or(sF18,or(sF13,sF5))),
inference(forward_demodulation,[],[f4016,f1]) ).
fof(f4110,plain,
true = ifeq(true,true,theorem(or(sF13,or(sF18,sF5))),true),
inference(superposition,[],[f217,f4049]) ).
fof(f4141,plain,
true = theorem(or(sF13,or(sF18,sF5))),
inference(forward_demodulation,[],[f4110,f1]) ).
fof(f4304,plain,
true = ifeq(true,true,theorem(or(sF11,or(sF7,sF1))),true),
inference(superposition,[],[f456,f3912]) ).
fof(f4337,plain,
true = theorem(or(sF11,or(sF7,sF1))),
inference(forward_demodulation,[],[f4304,f1]) ).
fof(f4401,plain,
true = ifeq(true,true,theorem(or(sF7,or(sF11,sF1))),true),
inference(superposition,[],[f217,f4337]) ).
fof(f4432,plain,
true = theorem(or(sF7,or(sF11,sF1))),
inference(forward_demodulation,[],[f4401,f1]) ).
fof(f4434,plain,
true = ifeq(true,true,theorem(or(sF0,or(sF11,sF1))),true),
inference(superposition,[],[f1781,f4432]) ).
fof(f4467,plain,
true = theorem(or(sF0,or(sF11,sF1))),
inference(forward_demodulation,[],[f4434,f1]) ).
fof(f4470,plain,
true = ifeq(true,true,theorem(or(sF11,or(sF0,sF1))),true),
inference(superposition,[],[f217,f4467]) ).
fof(f4501,plain,
true = theorem(or(sF11,or(sF0,sF1))),
inference(forward_demodulation,[],[f4470,f1]) ).
fof(f4503,plain,
true = theorem(or(sF11,sF2)),
inference(forward_demodulation,[],[f4501,f33]) ).
fof(f4513,plain,
true = ifeq(true,true,theorem(or(not(not(sF2)),sF11)),true),
inference(superposition,[],[f913,f4503]) ).
fof(f4525,plain,
true = theorem(or(not(not(sF2)),sF11)),
inference(forward_demodulation,[],[f4513,f1]) ).
fof(f4531,plain,
true = theorem(or(not(sF3),sF11)),
inference(forward_demodulation,[],[f4525,f35]) ).
fof(f4679,plain,
true = ifeq(true,true,theorem(or(sF5,or(p,sF11))),true),
inference(superposition,[],[f459,f4531]) ).
fof(f4712,plain,
true = theorem(or(sF5,or(p,sF11))),
inference(forward_demodulation,[],[f4679,f1]) ).
fof(f4781,plain,
true = ifeq(true,true,theorem(or(p,or(sF5,sF11))),true),
inference(superposition,[],[f217,f4712]) ).
fof(f4812,plain,
true = theorem(or(p,or(sF5,sF11))),
inference(forward_demodulation,[],[f4781,f1]) ).
fof(f4815,plain,
true = theorem(or(p,sF12)),
inference(forward_demodulation,[],[f4812,f53]) ).
fof(f4818,plain,
true = ifeq(true,true,theorem(or(sF12,p)),true),
inference(superposition,[],[f247,f4815]) ).
fof(f4840,plain,
true = theorem(or(sF12,p)),
inference(forward_demodulation,[],[f4818,f1]) ).
fof(f4845,plain,
true = ifeq(true,true,theorem(or(sF12,sF6)),true),
inference(superposition,[],[f1530,f4840]) ).
fof(f4846,plain,
true = ifeq(true,true,theorem(or(sF12,sF8)),true),
inference(superposition,[],[f1531,f4840]) ).
fof(f4870,plain,
true = theorem(or(sF12,sF8)),
inference(forward_demodulation,[],[f4846,f1]) ).
fof(f4871,plain,
true = theorem(or(sF12,sF6)),
inference(forward_demodulation,[],[f4845,f1]) ).
fof(f5035,plain,
true = ifeq(true,true,theorem(or(not(not(sF8)),sF12)),true),
inference(superposition,[],[f913,f4870]) ).
fof(f5047,plain,
true = theorem(or(not(not(sF8)),sF12)),
inference(forward_demodulation,[],[f5035,f1]) ).
fof(f5052,plain,
true = theorem(or(not(sF9),sF12)),
inference(forward_demodulation,[],[f5047,f47]) ).
fof(f5060,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF6),X0)),or(sF12,X0))),true),
inference(superposition,[],[f401,f4871]) ).
fof(f5079,plain,
! [X0] : true = theorem(or(not(or(not(sF6),X0)),or(sF12,X0))),
inference(forward_demodulation,[],[f5060,f1]) ).
fof(f5083,plain,
! [X0] : true = theorem(or(not(or(sF7,X0)),or(sF12,X0))),
inference(forward_demodulation,[],[f5079,f43]) ).
fof(f6124,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF7,X0)),true,theorem(or(sF12,X0)),true),true),
inference(superposition,[],[f22,f5083]) ).
fof(f6161,plain,
! [X0] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(sF12,X0)),true),
inference(forward_demodulation,[],[f6124,f1]) ).
fof(f7356,plain,
true = ifeq(true,true,theorem(or(sF11,or(sF7,sF12))),true),
inference(superposition,[],[f456,f5052]) ).
fof(f7389,plain,
true = theorem(or(sF11,or(sF7,sF12))),
inference(forward_demodulation,[],[f7356,f1]) ).
fof(f7396,plain,
true = ifeq(true,true,theorem(or(sF7,or(sF11,sF12))),true),
inference(superposition,[],[f217,f7389]) ).
fof(f7427,plain,
true = theorem(or(sF7,or(sF11,sF12))),
inference(forward_demodulation,[],[f7396,f1]) ).
fof(f7464,plain,
true = ifeq(true,true,theorem(or(sF12,or(sF11,sF12))),true),
inference(superposition,[],[f6161,f7427]) ).
fof(f7499,plain,
true = theorem(or(sF12,or(sF11,sF12))),
inference(forward_demodulation,[],[f7464,f1]) ).
fof(f8224,plain,
true = ifeq(true,true,theorem(or(sF11,or(sF12,sF12))),true),
inference(superposition,[],[f217,f7499]) ).
fof(f8255,plain,
true = theorem(or(sF11,or(sF12,sF12))),
inference(forward_demodulation,[],[f8224,f1]) ).
fof(f8265,plain,
true = ifeq(true,true,theorem(or(sF11,sF12)),true),
inference(superposition,[],[f714,f8255]) ).
fof(f8289,plain,
true = theorem(or(sF11,sF12)),
inference(forward_demodulation,[],[f8265,f1]) ).
fof(f8296,plain,
true = ifeq(true,true,theorem(or(sF12,sF11)),true),
inference(superposition,[],[f247,f8289]) ).
fof(f8318,plain,
true = theorem(or(sF12,sF11)),
inference(forward_demodulation,[],[f8296,f1]) ).
fof(f8413,plain,
true = ifeq(true,true,theorem(or(sF12,sF12)),true),
inference(superposition,[],[f1055,f8318]) ).
fof(f8437,plain,
true = theorem(or(sF12,sF12)),
inference(forward_demodulation,[],[f8413,f1]) ).
fof(f8448,plain,
true = ifeq(true,true,theorem(sF12),true),
inference(superposition,[],[f224,f8437]) ).
fof(f8471,plain,
true = theorem(sF12),
inference(forward_demodulation,[],[f8448,f1]) ).
fof(f8480,plain,
! [X0] : true = ifeq(theorem(or(not(sF12),X0)),true,ifeq(true,true,theorem(X0),true),true),
inference(superposition,[],[f22,f8471]) ).
fof(f8481,plain,
! [X0] : true = ifeq(theorem(or(not(sF12),X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f8480,f1]) ).
fof(f8484,plain,
! [X0] : true = ifeq(theorem(or(sF13,X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f8481,f55]) ).
fof(f8487,plain,
true = ifeq(true,true,theorem(or(sF18,sF5)),true),
inference(superposition,[],[f8484,f4141]) ).
fof(f8489,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(sF13),X0)),true),
inference(superposition,[],[f8484,f685]) ).
fof(f8662,plain,
! [X0] : true = theorem(or(not(sF13),X0)),
inference(forward_demodulation,[],[f8489,f1]) ).
fof(f8664,plain,
true = theorem(or(sF18,sF5)),
inference(forward_demodulation,[],[f8487,f1]) ).
fof(f8668,plain,
true = ifeq(true,true,theorem(or(sF5,sF18)),true),
inference(superposition,[],[f247,f8664]) ).
fof(f8691,plain,
true = theorem(or(sF5,sF18)),
inference(forward_demodulation,[],[f8668,f1]) ).
fof(f8726,plain,
true = ifeq(true,true,theorem(or(not(sF3),sF18)),true),
inference(superposition,[],[f2026,f8691]) ).
fof(f8754,plain,
true = theorem(or(not(sF3),sF18)),
inference(forward_demodulation,[],[f8726,f1]) ).
fof(f8758,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,sF13)),or(X1,X0))),true),
inference(superposition,[],[f289,f8662]) ).
fof(f8882,plain,
! [X0,X1] : true = theorem(or(not(or(X1,sF13)),or(X1,X0))),
inference(forward_demodulation,[],[f8758,f1]) ).
fof(f9132,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF3)),or(X0,sF18))),true),
inference(superposition,[],[f289,f8754]) ).
fof(f9159,plain,
! [X0] : true = theorem(or(not(or(X0,sF3)),or(X0,sF18))),
inference(forward_demodulation,[],[f9132,f1]) ).
fof(f9167,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(sF3,X0)),or(X0,sF18))),true),
inference(superposition,[],[f2100,f9159]) ).
fof(f9212,plain,
! [X0] : true = theorem(or(not(or(sF3,X0)),or(X0,sF18))),
inference(forward_demodulation,[],[f9167,f1]) ).
fof(f9238,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(sF13,X0)),or(X0,X1))),true),
inference(superposition,[],[f2100,f8882]) ).
fof(f9286,plain,
! [X0,X1] : true = theorem(or(not(or(sF13,X0)),or(X0,X1))),
inference(forward_demodulation,[],[f9238,f1]) ).
fof(f9966,plain,
! [X0] : true = theorem(or(not(sF17),or(sF16,X0))),
inference(superposition,[],[f9286,f63]) ).
fof(f10026,plain,
! [X0] : true = theorem(or(sF18,or(sF16,X0))),
inference(forward_demodulation,[],[f9966,f65]) ).
fof(f10245,plain,
true = ifeq(true,true,theorem(or(sF18,sF16)),true),
inference(superposition,[],[f714,f10026]) ).
fof(f10274,plain,
true = theorem(or(sF18,sF16)),
inference(forward_demodulation,[],[f10245,f1]) ).
fof(f10282,plain,
true = ifeq(true,true,theorem(or(sF16,sF18)),true),
inference(superposition,[],[f247,f10274]) ).
fof(f10307,plain,
true = theorem(or(sF16,sF18)),
inference(forward_demodulation,[],[f10282,f1]) ).
fof(f13476,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(sF3,X0)),or(sF18,X0))),true),
inference(superposition,[],[f529,f9212]) ).
fof(f13513,plain,
! [X0] : true = theorem(or(not(or(sF3,X0)),or(sF18,X0))),
inference(forward_demodulation,[],[f13476,f1]) ).
fof(f13526,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF3,X0)),true,theorem(or(sF18,X0)),true),true),
inference(superposition,[],[f22,f13513]) ).
fof(f13570,plain,
! [X0] : true = ifeq(theorem(or(sF3,X0)),true,theorem(or(sF18,X0)),true),
inference(forward_demodulation,[],[f13526,f1]) ).
fof(f17789,plain,
true = ifeq(true,true,theorem(or(sF11,sF15)),true),
inference(superposition,[],[f1537,f795]) ).
fof(f17823,plain,
true = theorem(or(sF11,sF15)),
inference(forward_demodulation,[],[f17789,f1]) ).
fof(f17833,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF15),X0)),or(sF11,X0))),true),
inference(superposition,[],[f401,f17823]) ).
fof(f17861,plain,
! [X0] : true = theorem(or(not(or(not(sF15),X0)),or(sF11,X0))),
inference(forward_demodulation,[],[f17833,f1]) ).
fof(f17867,plain,
! [X0] : true = theorem(or(not(or(sF16,X0)),or(sF11,X0))),
inference(forward_demodulation,[],[f17861,f61]) ).
fof(f17914,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF16,X0)),true,theorem(or(sF11,X0)),true),true),
inference(superposition,[],[f22,f17867]) ).
fof(f17965,plain,
! [X0] : true = ifeq(theorem(or(sF16,X0)),true,theorem(or(sF11,X0)),true),
inference(forward_demodulation,[],[f17914,f1]) ).
fof(f17980,plain,
true = ifeq(true,true,theorem(or(sF11,sF18)),true),
inference(superposition,[],[f17965,f10307]) ).
fof(f18027,plain,
true = theorem(or(sF11,sF18)),
inference(forward_demodulation,[],[f17980,f1]) ).
fof(f18043,plain,
true = ifeq(true,true,theorem(or(not(sF9),sF18)),true),
inference(superposition,[],[f2023,f18027]) ).
fof(f18046,plain,
true = ifeq(true,true,theorem(or(sF18,sF11)),true),
inference(superposition,[],[f247,f18027]) ).
fof(f18077,plain,
true = theorem(or(sF18,sF11)),
inference(forward_demodulation,[],[f18046,f1]) ).
fof(f18078,plain,
true = theorem(or(not(sF9),sF18)),
inference(forward_demodulation,[],[f18043,f1]) ).
fof(f18090,plain,
true = ifeq(true,true,theorem(or(not(not(sF11)),sF18)),true),
inference(superposition,[],[f913,f18077]) ).
fof(f18111,plain,
true = theorem(or(not(not(sF11)),sF18)),
inference(forward_demodulation,[],[f18090,f1]) ).
fof(f18119,plain,
true = theorem(or(not(sF14),sF18)),
inference(forward_demodulation,[],[f18111,f57]) ).
fof(f18253,plain,
true = ifeq(true,true,theorem(or(not(or(sF18,sF14)),sF18)),true),
inference(superposition,[],[f3028,f18119]) ).
fof(f18293,plain,
true = theorem(or(not(or(sF18,sF14)),sF18)),
inference(forward_demodulation,[],[f18253,f1]) ).
fof(f18396,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF9)),or(X0,sF18))),true),
inference(superposition,[],[f289,f18078]) ).
fof(f18434,plain,
! [X0] : true = theorem(or(not(or(X0,sF9)),or(X0,sF18))),
inference(forward_demodulation,[],[f18396,f1]) ).
fof(f18442,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(sF9,X0)),or(X0,sF18))),true),
inference(superposition,[],[f2100,f18434]) ).
fof(f18500,plain,
! [X0] : true = theorem(or(not(or(sF9,X0)),or(X0,sF18))),
inference(forward_demodulation,[],[f18442,f1]) ).
fof(f18926,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(sF9,X0)),or(sF18,X0))),true),
inference(superposition,[],[f529,f18500]) ).
fof(f18970,plain,
! [X0] : true = theorem(or(not(or(sF9,X0)),or(sF18,X0))),
inference(forward_demodulation,[],[f18926,f1]) ).
fof(f18983,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF9,X0)),true,theorem(or(sF18,X0)),true),true),
inference(superposition,[],[f22,f18970]) ).
fof(f19034,plain,
! [X0] : true = ifeq(theorem(or(sF9,X0)),true,theorem(or(sF18,X0)),true),
inference(forward_demodulation,[],[f18983,f1]) ).
fof(f21558,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,f1010]) ).
fof(f21609,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X0),X2)),true),
inference(forward_demodulation,[],[f21558,f1]) ).
fof(f21624,plain,
! [X0] : true = ifeq(theorem(or(not(sF4),X0)),true,theorem(or(not(p),X0)),true),
inference(superposition,[],[f21609,f37]) ).
fof(f21989,plain,
! [X0] : true = ifeq(theorem(or(sF5,X0)),true,theorem(or(not(p),X0)),true),
inference(forward_demodulation,[],[f21624,f39]) ).
fof(f22085,plain,
true = ifeq(true,true,theorem(or(not(p),sF18)),true),
inference(superposition,[],[f21989,f8691]) ).
fof(f22116,plain,
true = theorem(or(not(p),sF18)),
inference(forward_demodulation,[],[f22085,f1]) ).
fof(f22139,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,p)),or(X0,sF18))),true),
inference(superposition,[],[f289,f22116]) ).
fof(f22180,plain,
! [X0] : true = theorem(or(not(or(X0,p)),or(X0,sF18))),
inference(forward_demodulation,[],[f22139,f1]) ).
fof(f22187,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(p,X0)),or(X0,sF18))),true),
inference(superposition,[],[f2100,f22180]) ).
fof(f22246,plain,
! [X0] : true = theorem(or(not(or(p,X0)),or(X0,sF18))),
inference(forward_demodulation,[],[f22187,f1]) ).
fof(f22431,plain,
true = theorem(or(not(sF8),or(r,sF18))),
inference(superposition,[],[f22246,f45]) ).
fof(f22445,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(p,X0)),or(sF18,X0))),true),
inference(superposition,[],[f529,f22246]) ).
fof(f22489,plain,
! [X0] : true = theorem(or(not(or(p,X0)),or(sF18,X0))),
inference(forward_demodulation,[],[f22445,f1]) ).
fof(f22498,plain,
true = theorem(or(sF9,or(r,sF18))),
inference(forward_demodulation,[],[f22431,f47]) ).
fof(f22556,plain,
true = ifeq(true,true,theorem(or(sF18,or(r,sF18))),true),
inference(superposition,[],[f19034,f22498]) ).
fof(f22607,plain,
true = theorem(or(sF18,or(r,sF18))),
inference(forward_demodulation,[],[f22556,f1]) ).
fof(f22621,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(p,X0)),true,theorem(or(sF18,X0)),true),true),
inference(superposition,[],[f22,f22489]) ).
fof(f22672,plain,
! [X0] : true = ifeq(theorem(or(p,X0)),true,theorem(or(sF18,X0)),true),
inference(forward_demodulation,[],[f22621,f1]) ).
fof(f23045,plain,
true = ifeq(true,true,theorem(or(r,or(sF18,sF18))),true),
inference(superposition,[],[f217,f22607]) ).
fof(f23088,plain,
true = theorem(or(r,or(sF18,sF18))),
inference(forward_demodulation,[],[f23045,f1]) ).
fof(f23192,plain,
true = ifeq(true,true,theorem(or(r,sF18)),true),
inference(superposition,[],[f714,f23088]) ).
fof(f23225,plain,
true = theorem(or(r,sF18)),
inference(forward_demodulation,[],[f23192,f1]) ).
fof(f23236,plain,
true = ifeq(true,true,theorem(or(sF18,r)),true),
inference(superposition,[],[f247,f23225]) ).
fof(f23267,plain,
true = theorem(or(sF18,r)),
inference(forward_demodulation,[],[f23236,f1]) ).
fof(f23280,plain,
true = ifeq(true,true,theorem(or(not(not(r)),sF18)),true),
inference(superposition,[],[f913,f23267]) ).
fof(f23301,plain,
true = theorem(or(not(not(r)),sF18)),
inference(forward_demodulation,[],[f23280,f1]) ).
fof(f23309,plain,
true = theorem(or(not(sF1),sF18)),
inference(forward_demodulation,[],[f23301,f31]) ).
fof(f23550,plain,
true = ifeq(true,true,theorem(or(sF3,or(sF0,sF18))),true),
inference(superposition,[],[f458,f23309]) ).
fof(f23600,plain,
true = theorem(or(sF3,or(sF0,sF18))),
inference(forward_demodulation,[],[f23550,f1]) ).
fof(f23762,plain,
true = ifeq(true,true,theorem(or(sF18,or(sF0,sF18))),true),
inference(superposition,[],[f13570,f23600]) ).
fof(f23809,plain,
true = theorem(or(sF18,or(sF0,sF18))),
inference(forward_demodulation,[],[f23762,f1]) ).
fof(f24504,plain,
true = ifeq(true,true,theorem(or(sF0,or(sF18,sF18))),true),
inference(superposition,[],[f217,f23809]) ).
fof(f24547,plain,
true = theorem(or(sF0,or(sF18,sF18))),
inference(forward_demodulation,[],[f24504,f1]) ).
fof(f24562,plain,
true = ifeq(true,true,theorem(or(sF0,sF18)),true),
inference(superposition,[],[f714,f24547]) ).
fof(f24595,plain,
true = theorem(or(sF0,sF18)),
inference(forward_demodulation,[],[f24562,f1]) ).
fof(f24600,plain,
true = ifeq(true,true,theorem(or(sF7,or(p,sF18))),true),
inference(superposition,[],[f471,f24595]) ).
fof(f24641,plain,
true = theorem(or(sF7,or(p,sF18))),
inference(forward_demodulation,[],[f24600,f1]) ).
fof(f24735,plain,
true = ifeq(true,true,theorem(or(p,or(sF7,sF18))),true),
inference(superposition,[],[f217,f24641]) ).
fof(f24778,plain,
true = theorem(or(p,or(sF7,sF18))),
inference(forward_demodulation,[],[f24735,f1]) ).
fof(f34568,plain,
true = ifeq(true,true,theorem(or(sF18,or(sF7,sF18))),true),
inference(superposition,[],[f22672,f24778]) ).
fof(f34698,plain,
true = theorem(or(sF18,or(sF7,sF18))),
inference(forward_demodulation,[],[f34568,f1]) ).
fof(f34766,plain,
true = ifeq(true,true,theorem(or(sF7,or(sF18,sF18))),true),
inference(superposition,[],[f217,f34698]) ).
fof(f34809,plain,
true = theorem(or(sF7,or(sF18,sF18))),
inference(forward_demodulation,[],[f34766,f1]) ).
fof(f34827,plain,
true = ifeq(true,true,theorem(or(sF7,sF18)),true),
inference(superposition,[],[f714,f34809]) ).
fof(f34860,plain,
true = theorem(or(sF7,sF18)),
inference(forward_demodulation,[],[f34827,f1]) ).
fof(f34882,plain,
true = ifeq(true,true,theorem(or(sF18,sF7)),true),
inference(superposition,[],[f247,f34860]) ).
fof(f34913,plain,
true = theorem(or(sF18,sF7)),
inference(forward_demodulation,[],[f34882,f1]) ).
fof(f34928,plain,
true = ifeq(true,true,theorem(or(sF18,sF10)),true),
inference(superposition,[],[f1535,f34913]) ).
fof(f34961,plain,
true = theorem(or(sF18,sF10)),
inference(forward_demodulation,[],[f34928,f1]) ).
fof(f34974,plain,
true = ifeq(true,true,theorem(or(sF18,sF14)),true),
inference(superposition,[],[f1331,f34961]) ).
fof(f35008,plain,
true = theorem(or(sF18,sF14)),
inference(forward_demodulation,[],[f34974,f1]) ).
fof(f35047,plain,
true = ifeq(theorem(or(not(or(sF18,sF14)),sF18)),true,ifeq(true,true,sF19,true),true),
inference(superposition,[],[f92,f35008]) ).
fof(f35052,plain,
true = ifeq(theorem(or(not(or(sF18,sF14)),sF18)),true,sF19,true),
inference(forward_demodulation,[],[f35047,f1]) ).
fof(f35066,plain,
true = ifeq(true,true,sF19,true),
inference(forward_demodulation,[],[f35052,f18293]) ).
fof(f35067,plain,
true = sF19,
inference(forward_demodulation,[],[f35066,f1]) ).
fof(f35068,plain,
$false,
inference(forward_subsumption_resolution,[],[f35067,f68]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL282-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n011.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sun Sep 27 15:32:15 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.50 Running first-order theorem proving
% 0.26/0.50 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.17/10.01 % (2564705)Detected a unit-equality problem, will run specialized UEQ schedule.
% 62.17/10.01 % (2564716)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=340105854:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 62.17/10.01 % (2564711)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=1535267093:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 62.17/10.01 % (2564710)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=991132766:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 62.17/10.01 % (2564712)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=169396756:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 62.17/10.01 % (2564713)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3175228930:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 62.17/10.01 % (2564714)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3776658024:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 62.17/10.01 % (2564715)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=274542768:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 62.17/10.01 % (2564713)Instruction limit reached!
% 62.17/10.01 % (2564713)------------------------------
% 62.17/10.01 % (2564713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564713)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564713)Termination reason: Instruction limit
% 62.17/10.01 % (2564713)Termination phase: Saturation
% 62.17/10.01 % (2564713)Time elapsed: 0.132 s
% 62.17/10.01 % (2564713)Peak memory usage: 89 MB
% 62.17/10.01 % (2564713)Instructions burned: 136 (million)
% 62.17/10.01 % (2564714)Instruction limit reached!
% 62.17/10.01 % (2564714)------------------------------
% 62.17/10.01 % (2564714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564714)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564714)Termination reason: Instruction limit
% 62.17/10.01 % (2564714)Termination phase: Saturation
% 62.17/10.01 % (2564714)Time elapsed: 0.170 s
% 62.17/10.01 % (2564714)Peak memory usage: 89 MB
% 62.17/10.01 % (2564714)Instructions burned: 181 (million)
% 62.17/10.01 % (2564715)Instruction limit reached!
% 62.17/10.01 % (2564715)------------------------------
% 62.17/10.01 % (2564715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564715)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564715)Termination reason: Instruction limit
% 62.17/10.01 % (2564715)Termination phase: Saturation
% 62.17/10.01 % (2564715)Time elapsed: 0.254 s
% 62.17/10.01 % (2564715)Peak memory usage: 91 MB
% 62.17/10.01 % (2564715)Instructions burned: 258 (million)
% 62.17/10.01 % (2564724)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2479058799:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 62.17/10.01 % (2564725)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2577728103:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 62.17/10.01 % (2564716)Instruction limit reached!
% 62.17/10.01 % (2564716)------------------------------
% 62.17/10.01 % (2564716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564716)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564716)Termination reason: Instruction limit
% 62.17/10.01 % (2564716)Termination phase: Saturation
% 62.17/10.01 % (2564716)Time elapsed: 0.579 s
% 62.17/10.01 % (2564716)Peak memory usage: 101 MB
% 62.17/10.01 % (2564716)Instructions burned: 1187 (million)
% 62.17/10.01 % (2564726)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=574736825:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 62.17/10.01 % (2564726)Instruction limit reached!
% 62.17/10.01 % (2564726)------------------------------
% 62.17/10.01 % (2564726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564726)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564726)Termination reason: Instruction limit
% 62.17/10.01 % (2564726)Termination phase: Saturation
% 62.17/10.01 % (2564726)Time elapsed: 0.176 s
% 62.17/10.01 % (2564726)Peak memory usage: 88 MB
% 62.17/10.01 % (2564726)Instructions burned: 216 (million)
% 62.17/10.01 % (2564729)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=3652999018:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 62.17/10.01 % (2564729)Instruction limit reached!
% 62.17/10.01 % (2564729)------------------------------
% 62.17/10.01 % (2564729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564729)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564729)Termination reason: Instruction limit
% 62.17/10.01 % (2564729)Termination phase: Saturation
% 62.17/10.01 % (2564729)Time elapsed: 0.162 s
% 62.17/10.01 % (2564729)Peak memory usage: 94 MB
% 62.17/10.01 % (2564729)Instructions burned: 318 (million)
% 62.17/10.01 % (2564731)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=1818776045:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 62.17/10.01 % (2564733)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4177191361:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 62.17/10.01 % (2564733)Instruction limit reached!
% 62.17/10.01 % (2564733)------------------------------
% 62.17/10.01 % (2564733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564733)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564733)Termination reason: Instruction limit
% 62.17/10.01 % (2564733)Termination phase: Saturation
% 62.17/10.01 % (2564733)Time elapsed: 1.413 s
% 62.17/10.01 % (2564733)Peak memory usage: 123 MB
% 62.17/10.01 % (2564733)Instructions burned: 2838 (million)
% 62.17/10.01 % (2564724)Instruction limit reached!
% 62.17/10.01 % (2564724)------------------------------
% 62.17/10.01 % (2564724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564724)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564724)Termination reason: Instruction limit
% 62.17/10.01 % (2564724)Termination phase: Saturation
% 62.17/10.01 % (2564724)Time elapsed: 2.185 s
% 62.17/10.01 % (2564724)Peak memory usage: 143 MB
% 62.17/10.01 % (2564724)Instructions burned: 2052 (million)
% 62.17/10.01 % (2564736)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3695410747:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 62.17/10.01 % (2564737)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=2327513481:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2970 on theBenchmark for (2970ds/11832Mi)
% 62.17/10.01 % (2564725)Instruction limit reached!
% 62.17/10.01 % (2564725)------------------------------
% 62.17/10.01 % (2564725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564725)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564725)Termination reason: Instruction limit
% 62.17/10.01 % (2564725)Termination phase: Saturation
% 62.17/10.01 % (2564725)Time elapsed: 4.823 s
% 62.17/10.01 % (2564725)Peak memory usage: 170 MB
% 62.17/10.01 % (2564725)Instructions burned: 4948 (million)
% 62.17/10.01 % (2564740)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=2833280746:i=2279:fgj=on:bd=all_2944 on theBenchmark for (2944ds/2279Mi)
% 62.17/10.01 % (2564740)Instruction limit reached!
% 62.17/10.01 % (2564740)------------------------------
% 62.17/10.01 % (2564740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.17/10.01 % (2564740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.17/10.01 % (2564740)CaDiCaL version: 2.1.3
% 62.17/10.01 % (2564740)Termination reason: Instruction limit
% 62.17/10.01 % (2564740)Termination phase: Saturation
% 62.17/10.01 % (2564740)Time elapsed: 2.374 s
% 62.17/10.01 % (2564740)Peak memory usage: 142 MB
% 62.17/10.01 % (2564740)Instructions burned: 2279 (million)
% 62.17/10.01 % (2564731)First to succeed.
% 62.17/10.01 % (2564731)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2564705"
% 62.17/10.01 % (2564742)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=3158343999:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2917 on theBenchmark for (2917ds/6225Mi)
% 62.17/10.01 % (2564731)Refutation found. Thanks to Tanya!
% 62.17/10.01 % SZS status Unsatisfiable for theBenchmark
% 62.17/10.01 % SZS output start Proof for theBenchmark
% See solution above
% 63.57/10.38 % (2564731)------------------------------
% 63.57/10.38 % (2564731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 63.57/10.38 % (2564731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 63.57/10.38 % (2564731)CaDiCaL version: 2.1.3
% 63.57/10.38 % (2564731)Termination reason: Refutation
% 63.57/10.38 % (2564731)Time elapsed: 7.044 s
% 63.57/10.38 % (2564731)Peak memory usage: 188 MB
% 63.57/10.38 % (2564731)Instructions burned: 6763 (million)
% 63.57/10.38 % (2564731)------------------------------
% 63.57/10.38 % (2564731)------------------------------
% 63.57/10.38 % (2564705)Success in time 8.809 s
% 63.57/10.38 % Vampire exiting
%------------------------------------------------------------------------------