%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL270-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:51:49 AM UTC 2026
% Result : Unsatisfiable 80.92s 13.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 102
% Number of leaves : 40
% Syntax : Number of formulae : 337 ( 337 unt; 28 def)
% Number of atoms : 337 ( 336 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 : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 32 con; 0-4 aty)
% Number of variables : 256 ( 256 !; 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(and(equivalent(p,q),equivalent(q,r)),equivalent(p,r))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(implies(and(equivalent(p,q),equivalent(q,r)),equivalent(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,
! [X0] : true = axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f2,f11]) ).
fof(f22,plain,
! [X0,X1] : true = axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f4,f11]) ).
fof(f23,plain,
! [X0,X1] : true = axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f6,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,
! [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(f26,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(f27,plain,
true != theorem(or(not(not(or(not(not(or(not(or(not(p),q)),not(or(not(q),p))))),not(not(or(not(or(not(q),r)),not(or(not(r),q)))))))),not(or(not(or(not(p),r)),not(or(not(r),p)))))),
inference(definition_unfolding,[],[f19,f11,f16,f20,f20,f20]) ).
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(sF3,r),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
or(sF3,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 = not(r),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f51,plain,
not(r) = sF11,
inference(reorient_equations,[],[f50]) ).
fof(f52,definition,
sF12 = or(sF11,q),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
or(sF11,q) = 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 = or(sF10,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
or(sF10,sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = not(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
not(sF14) = 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(sF8,sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
or(sF8,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 = not(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f67,plain,
not(sF18) = sF19,
inference(reorient_equations,[],[f66]) ).
fof(f68,definition,
sF20 = or(sF0,r),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f69,plain,
or(sF0,r) = sF20,
inference(reorient_equations,[],[f68]) ).
fof(f70,definition,
sF21 = not(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f71,plain,
not(sF20) = sF21,
inference(reorient_equations,[],[f70]) ).
fof(f72,definition,
sF22 = or(sF11,p),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f73,plain,
or(sF11,p) = sF22,
inference(reorient_equations,[],[f72]) ).
fof(f74,definition,
sF23 = not(sF22),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f75,plain,
not(sF22) = sF23,
inference(reorient_equations,[],[f74]) ).
fof(f76,definition,
sF24 = or(sF21,sF23),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f77,plain,
or(sF21,sF23) = sF24,
inference(reorient_equations,[],[f76]) ).
fof(f78,definition,
sF25 = not(sF24),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f79,plain,
not(sF24) = sF25,
inference(reorient_equations,[],[f78]) ).
fof(f80,definition,
sF26 = or(sF19,sF25),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f81,plain,
or(sF19,sF25) = sF26,
inference(reorient_equations,[],[f80]) ).
fof(f82,definition,
sF27 = theorem(sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f83,plain,
theorem(sF26) = sF27,
inference(reorient_equations,[],[f82]) ).
fof(f84,plain,
true != sF27,
inference(definition_folding,[],[f27,f83,f81,f79,f77,f75,f73,f51,f71,f69,f29,f67,f65,f63,f61,f59,f57,f55,f53,f51,f49,f47,f35,f45,f43,f41,f39,f37,f35,f33,f31,f29]) ).
fof(f93,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF26)),true,ifeq(theorem(X0),true,sF27,true),true),
inference(superposition,[],[f26,f83]) ).
fof(f119,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f23]) ).
fof(f120,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(f121,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f21]) ).
fof(f122,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f22]) ).
fof(f124,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f122,f1]) ).
fof(f125,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f121,f1]) ).
fof(f126,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f120,f1]) ).
fof(f127,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f119,f1]) ).
fof(f128,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,[],[f26,f126]) ).
fof(f134,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f128,f1]) ).
fof(f151,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,f25]) ).
fof(f152,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f151,f1]) ).
fof(f169,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,[],[f26,f152]) ).
fof(f172,plain,
! [X2,X3,X0,X1] : true = ifeq(theorem(or(not(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),X3)),true,ifeq(true,true,theorem(X3),true),true),
inference(superposition,[],[f26,f152]) ).
fof(f173,plain,
! [X2,X3,X0,X1] : true = ifeq(theorem(or(not(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),X3)),true,theorem(X3),true),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f175,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,[],[f169,f1]) ).
fof(f232,plain,
! [X0] : true = axiom(or(not(or(not(q),X0)),or(not(sF12),or(sF11,X0)))),
inference(superposition,[],[f25,f53]) ).
fof(f239,plain,
! [X0] : true = axiom(or(not(or(not(q),X0)),or(sF13,or(sF11,X0)))),
inference(forward_demodulation,[],[f232,f55]) ).
fof(f243,plain,
! [X0] : true = axiom(or(not(or(sF3,X0)),or(sF13,or(sF11,X0)))),
inference(forward_demodulation,[],[f239,f35]) ).
fof(f369,plain,
true = theorem(or(not(r),sF20)),
inference(superposition,[],[f124,f69]) ).
fof(f390,plain,
true = theorem(or(sF11,sF20)),
inference(forward_demodulation,[],[f369,f51]) ).
fof(f414,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f26,f127]) ).
fof(f420,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f414,f1]) ).
fof(f436,plain,
! [X0,X1] : true = ifeq(theorem(or(sF7,X0)),true,theorem(or(not(or(X1,sF6)),or(X1,X0))),true),
inference(superposition,[],[f175,f43]) ).
fof(f440,plain,
! [X0,X1] : true = ifeq(theorem(or(sF15,X0)),true,theorem(or(not(or(X1,sF14)),or(X1,X0))),true),
inference(superposition,[],[f175,f59]) ).
fof(f449,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f175,f127]) ).
fof(f450,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f175,f125]) ).
fof(f451,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f175,f124]) ).
fof(f456,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(not(sF9),or(sF3,X0))),true),
inference(superposition,[],[f175,f47]) ).
fof(f462,plain,
! [X0] : true = ifeq(theorem(or(not(sF23),X0)),true,theorem(or(not(sF24),or(sF21,X0))),true),
inference(superposition,[],[f175,f77]) ).
fof(f480,plain,
! [X0] : true = ifeq(theorem(or(not(sF23),X0)),true,theorem(or(sF25,or(sF21,X0))),true),
inference(forward_demodulation,[],[f462,f79]) ).
fof(f485,plain,
! [X0] : true = ifeq(theorem(or(not(r),X0)),true,theorem(or(sF10,or(sF3,X0))),true),
inference(forward_demodulation,[],[f456,f49]) ).
fof(f490,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f491,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f450,f1]) ).
fof(f492,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f449,f1]) ).
fof(f497,plain,
! [X0] : true = ifeq(theorem(or(sF11,X0)),true,theorem(or(sF10,or(sF3,X0))),true),
inference(forward_demodulation,[],[f485,f51]) ).
fof(f513,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,[],[f134,f152]) ).
fof(f538,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f513,f1]) ).
fof(f585,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,[],[f26,f538]) ).
fof(f594,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,[],[f585,f1]) ).
fof(f734,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,[],[f26,f492]) ).
fof(f745,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f734,f1]) ).
fof(f767,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f745,f124]) ).
fof(f788,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f767,f1]) ).
fof(f861,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f175,f788]) ).
fof(f866,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X0,or(not(X0),X1))),true),
inference(superposition,[],[f134,f788]) ).
fof(f876,plain,
! [X0,X1] : true = theorem(or(X0,or(not(X0),X1))),
inference(forward_demodulation,[],[f866,f1]) ).
fof(f880,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f861,f1]) ).
fof(f1080,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),true),
inference(superposition,[],[f26,f490]) ).
fof(f1098,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f1080,f1]) ).
fof(f1175,plain,
true = axiom(or(not(or(sF3,p)),or(sF13,sF22))),
inference(superposition,[],[f243,f73]) ).
fof(f1178,plain,
true = axiom(or(not(sF4),or(sF13,sF22))),
inference(forward_demodulation,[],[f1175,f37]) ).
fof(f1181,plain,
true = axiom(or(sF5,or(sF13,sF22))),
inference(forward_demodulation,[],[f1178,f39]) ).
fof(f1211,plain,
! [X0] : true = ifeq(theorem(or(X0,sF5)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f1098,f41]) ).
fof(f1214,plain,
! [X0] : true = ifeq(theorem(or(X0,sF16)),true,theorem(or(X0,sF17)),true),
inference(superposition,[],[f1098,f63]) ).
fof(f1215,plain,
! [X0] : true = ifeq(theorem(or(X0,sF13)),true,theorem(or(X0,sF14)),true),
inference(superposition,[],[f1098,f57]) ).
fof(f1394,plain,
true = ifeq(true,true,theorem(or(sF5,or(sF13,sF22))),true),
inference(superposition,[],[f13,f1181]) ).
fof(f1395,plain,
true = theorem(or(sF5,or(sF13,sF22))),
inference(forward_demodulation,[],[f1394,f1]) ).
fof(f1491,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,[],[f175,f491]) ).
fof(f1492,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f26,f491]) ).
fof(f1513,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f1492,f1]) ).
fof(f1514,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f1491,f1]) ).
fof(f1515,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f1513,f876]) ).
fof(f1568,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f1515,f1]) ).
fof(f1675,plain,
true = theorem(or(p,sF0)),
inference(superposition,[],[f1568,f29]) ).
fof(f1678,plain,
true = theorem(or(sF1,sF2)),
inference(superposition,[],[f1568,f33]) ).
fof(f1679,plain,
true = theorem(or(sF4,sF5)),
inference(superposition,[],[f1568,f39]) ).
fof(f1681,plain,
true = theorem(or(sF7,sF8)),
inference(superposition,[],[f1568,f45]) ).
fof(f1683,plain,
true = theorem(or(sF12,sF13)),
inference(superposition,[],[f1568,f55]) ).
fof(f1685,plain,
true = theorem(or(sF15,sF16)),
inference(superposition,[],[f1568,f61]) ).
fof(f1696,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f175,f1568]) ).
fof(f1722,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f1696,f1]) ).
fof(f1834,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,not(not(X1)))),true),true),
inference(superposition,[],[f26,f1722]) ).
fof(f1837,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f745,f1722]) ).
fof(f1858,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f1837,f1]) ).
fof(f1859,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,not(not(X1)))),true),
inference(forward_demodulation,[],[f1834,f1]) ).
fof(f1910,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f26,f1858]) ).
fof(f1935,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f1910,f1]) ).
fof(f2626,plain,
! [X2,X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),true),
inference(superposition,[],[f26,f880]) ).
fof(f2655,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f2626,f1]) ).
fof(f2729,plain,
! [X0] : true = ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF20)),true),
inference(superposition,[],[f2655,f69]) ).
fof(f2730,plain,
! [X0] : true = ifeq(theorem(or(X0,sF2)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f2655,f41]) ).
fof(f2733,plain,
! [X0] : true = ifeq(theorem(or(X0,sF8)),true,theorem(or(X0,sF17)),true),
inference(superposition,[],[f2655,f63]) ).
fof(f2734,plain,
! [X0] : true = ifeq(theorem(or(X0,sF10)),true,theorem(or(X0,sF14)),true),
inference(superposition,[],[f2655,f57]) ).
fof(f2737,plain,
! [X0] : true = ifeq(theorem(or(X0,sF19)),true,theorem(or(X0,sF26)),true),
inference(superposition,[],[f2655,f81]) ).
fof(f3058,plain,
true = ifeq(true,true,theorem(or(p,sF20)),true),
inference(superposition,[],[f2729,f1675]) ).
fof(f3067,plain,
true = theorem(or(p,sF20)),
inference(forward_demodulation,[],[f3058,f1]) ).
fof(f3387,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF20),X0)),or(p,X0))),true),
inference(superposition,[],[f594,f3067]) ).
fof(f3399,plain,
! [X0] : true = theorem(or(not(or(not(sF20),X0)),or(p,X0))),
inference(forward_demodulation,[],[f3387,f1]) ).
fof(f3402,plain,
! [X0] : true = theorem(or(not(or(sF21,X0)),or(p,X0))),
inference(forward_demodulation,[],[f3399,f71]) ).
fof(f3581,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),true),
inference(superposition,[],[f173,f1514]) ).
fof(f3688,plain,
! [X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),
inference(forward_demodulation,[],[f3581,f1]) ).
fof(f3740,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,[],[f26,f3688]) ).
fof(f3771,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X1,X0)),X1)),true),
inference(forward_demodulation,[],[f3740,f1]) ).
fof(f4044,plain,
true = ifeq(true,true,theorem(or(sF1,sF6)),true),
inference(superposition,[],[f2730,f1678]) ).
fof(f4064,plain,
true = theorem(or(sF1,sF6)),
inference(forward_demodulation,[],[f4044,f1]) ).
fof(f4263,plain,
true = ifeq(true,true,theorem(or(sF7,sF17)),true),
inference(superposition,[],[f2733,f1681]) ).
fof(f4283,plain,
true = theorem(or(sF7,sF17)),
inference(forward_demodulation,[],[f4263,f1]) ).
fof(f4412,plain,
true = ifeq(true,true,theorem(or(sF15,sF17)),true),
inference(superposition,[],[f1214,f1685]) ).
fof(f4432,plain,
true = theorem(or(sF15,sF17)),
inference(forward_demodulation,[],[f4412,f1]) ).
fof(f4912,plain,
true = ifeq(true,true,theorem(or(sF1,not(not(sF6)))),true),
inference(superposition,[],[f1859,f4064]) ).
fof(f4935,plain,
true = ifeq(true,true,theorem(or(sF7,not(not(sF17)))),true),
inference(superposition,[],[f1859,f4283]) ).
fof(f4957,plain,
true = ifeq(true,true,theorem(or(sF15,not(not(sF17)))),true),
inference(superposition,[],[f1859,f4432]) ).
fof(f4989,plain,
! [X0] : true = ifeq(theorem(or(X0,sF14)),true,theorem(or(X0,not(sF15))),true),
inference(superposition,[],[f1859,f59]) ).
fof(f5001,plain,
! [X0] : true = ifeq(theorem(or(X0,sF14)),true,theorem(or(X0,sF16)),true),
inference(forward_demodulation,[],[f4989,f61]) ).
fof(f5025,plain,
true = theorem(or(sF15,not(not(sF17)))),
inference(forward_demodulation,[],[f4957,f1]) ).
fof(f5047,plain,
true = theorem(or(sF7,not(not(sF17)))),
inference(forward_demodulation,[],[f4935,f1]) ).
fof(f5070,plain,
true = theorem(or(sF1,not(not(sF6)))),
inference(forward_demodulation,[],[f4912,f1]) ).
fof(f5129,plain,
true = theorem(or(sF15,not(sF18))),
inference(forward_demodulation,[],[f5025,f65]) ).
fof(f5140,plain,
true = theorem(or(sF7,not(sF18))),
inference(forward_demodulation,[],[f5047,f65]) ).
fof(f5152,plain,
true = theorem(or(sF1,not(sF7))),
inference(forward_demodulation,[],[f5070,f43]) ).
fof(f5164,plain,
true = theorem(or(sF15,sF19)),
inference(forward_demodulation,[],[f5129,f67]) ).
fof(f5165,plain,
true = theorem(or(sF7,sF19)),
inference(forward_demodulation,[],[f5140,f67]) ).
fof(f5166,plain,
true = theorem(or(sF1,sF8)),
inference(forward_demodulation,[],[f5152,f45]) ).
fof(f5192,plain,
true = ifeq(true,true,theorem(or(sF15,sF26)),true),
inference(superposition,[],[f2737,f5164]) ).
fof(f5214,plain,
true = theorem(or(sF15,sF26)),
inference(forward_demodulation,[],[f5192,f1]) ).
fof(f5217,plain,
true = ifeq(true,true,theorem(or(sF1,sF17)),true),
inference(superposition,[],[f2733,f5166]) ).
fof(f5239,plain,
true = theorem(or(sF1,sF17)),
inference(forward_demodulation,[],[f5217,f1]) ).
fof(f5312,plain,
true = ifeq(true,true,theorem(or(sF26,sF15)),true),
inference(superposition,[],[f420,f5214]) ).
fof(f5331,plain,
true = theorem(or(sF26,sF15)),
inference(forward_demodulation,[],[f5312,f1]) ).
fof(f5364,plain,
true = ifeq(true,true,theorem(or(sF1,not(not(sF17)))),true),
inference(superposition,[],[f1859,f5239]) ).
fof(f5376,plain,
true = theorem(or(sF1,not(not(sF17)))),
inference(forward_demodulation,[],[f5364,f1]) ).
fof(f5380,plain,
true = theorem(or(sF1,not(sF18))),
inference(forward_demodulation,[],[f5376,f65]) ).
fof(f5382,plain,
true = theorem(or(sF1,sF19)),
inference(forward_demodulation,[],[f5380,f67]) ).
fof(f5383,plain,
true = ifeq(true,true,theorem(or(sF1,sF26)),true),
inference(superposition,[],[f2737,f5382]) ).
fof(f5405,plain,
true = theorem(or(sF1,sF26)),
inference(forward_demodulation,[],[f5383,f1]) ).
fof(f5434,plain,
true = ifeq(true,true,theorem(or(sF26,sF1)),true),
inference(superposition,[],[f420,f5405]) ).
fof(f5453,plain,
true = theorem(or(sF26,sF1)),
inference(forward_demodulation,[],[f5434,f1]) ).
fof(f5545,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF1),X0)),or(sF26,X0))),true),
inference(superposition,[],[f594,f5453]) ).
fof(f5562,plain,
! [X0] : true = theorem(or(not(or(not(sF1),X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f5545,f1]) ).
fof(f5565,plain,
! [X0] : true = theorem(or(not(or(sF2,X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f5562,f33]) ).
fof(f6549,plain,
true = ifeq(true,true,theorem(or(not(not(sF20)),sF11)),true),
inference(superposition,[],[f1935,f390]) ).
fof(f6604,plain,
true = ifeq(true,true,theorem(or(not(not(sF15)),sF26)),true),
inference(superposition,[],[f1935,f5331]) ).
fof(f6633,plain,
true = theorem(or(not(not(sF15)),sF26)),
inference(forward_demodulation,[],[f6604,f1]) ).
fof(f6688,plain,
true = theorem(or(not(not(sF20)),sF11)),
inference(forward_demodulation,[],[f6549,f1]) ).
fof(f6787,plain,
true = theorem(or(not(sF16),sF26)),
inference(forward_demodulation,[],[f6633,f61]) ).
fof(f6810,plain,
true = theorem(or(not(sF21),sF11)),
inference(forward_demodulation,[],[f6688,f71]) ).
fof(f7501,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF21)),or(X0,sF11))),true),
inference(superposition,[],[f175,f6810]) ).
fof(f7531,plain,
! [X0] : true = theorem(or(not(or(X0,sF21)),or(X0,sF11))),
inference(forward_demodulation,[],[f7501,f1]) ).
fof(f8298,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF21)),true,theorem(or(X0,sF11)),true),true),
inference(superposition,[],[f26,f7531]) ).
fof(f8333,plain,
! [X0] : true = ifeq(theorem(or(X0,sF21)),true,theorem(or(X0,sF11)),true),
inference(forward_demodulation,[],[f8298,f1]) ).
fof(f9065,plain,
true = ifeq(true,true,theorem(or(not(or(sF26,sF16)),sF26)),true),
inference(superposition,[],[f3771,f6787]) ).
fof(f9095,plain,
true = theorem(or(not(or(sF26,sF16)),sF26)),
inference(forward_demodulation,[],[f9065,f1]) ).
fof(f10116,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF21,X0)),true,theorem(or(p,X0)),true),true),
inference(superposition,[],[f26,f3402]) ).
fof(f10156,plain,
! [X0] : true = ifeq(theorem(or(sF21,X0)),true,theorem(or(p,X0)),true),
inference(forward_demodulation,[],[f10116,f1]) ).
fof(f11498,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF2,X0)),true,theorem(or(sF26,X0)),true),true),
inference(superposition,[],[f26,f5565]) ).
fof(f11538,plain,
! [X0] : true = ifeq(theorem(or(sF2,X0)),true,theorem(or(sF26,X0)),true),
inference(forward_demodulation,[],[f11498,f1]) ).
fof(f12061,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF14)),or(X0,sF19))),true),
inference(superposition,[],[f440,f5164]) ).
fof(f12092,plain,
! [X0] : true = theorem(or(not(or(X0,sF14)),or(X0,sF19))),
inference(forward_demodulation,[],[f12061,f1]) ).
fof(f12207,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF6)),or(X0,sF19))),true),
inference(superposition,[],[f436,f5165]) ).
fof(f12237,plain,
! [X0] : true = theorem(or(not(or(X0,sF6)),or(X0,sF19))),
inference(forward_demodulation,[],[f12207,f1]) ).
fof(f12629,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF6)),true,theorem(or(X0,sF19)),true),true),
inference(superposition,[],[f26,f12237]) ).
fof(f12664,plain,
! [X0] : true = ifeq(theorem(or(X0,sF6)),true,theorem(or(X0,sF19)),true),
inference(forward_demodulation,[],[f12629,f1]) ).
fof(f12920,plain,
true = ifeq(true,true,theorem(or(sF4,sF6)),true),
inference(superposition,[],[f1211,f1679]) ).
fof(f12944,plain,
true = theorem(or(sF4,sF6)),
inference(forward_demodulation,[],[f12920,f1]) ).
fof(f12947,plain,
true = ifeq(true,true,theorem(or(sF4,sF19)),true),
inference(superposition,[],[f12664,f12944]) ).
fof(f12977,plain,
true = theorem(or(sF4,sF19)),
inference(forward_demodulation,[],[f12947,f1]) ).
fof(f13019,plain,
true = ifeq(true,true,theorem(or(sF19,sF4)),true),
inference(superposition,[],[f420,f12977]) ).
fof(f13040,plain,
true = theorem(or(sF19,sF4)),
inference(forward_demodulation,[],[f13019,f1]) ).
fof(f13142,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF4),X0)),or(sF19,X0))),true),
inference(superposition,[],[f594,f13040]) ).
fof(f13161,plain,
! [X0] : true = theorem(or(not(or(not(sF4),X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f13142,f1]) ).
fof(f13167,plain,
! [X0] : true = theorem(or(not(or(sF5,X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f13161,f39]) ).
fof(f13312,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF5,X0)),true,theorem(or(sF19,X0)),true),true),
inference(superposition,[],[f26,f13167]) ).
fof(f13352,plain,
! [X0] : true = ifeq(theorem(or(sF5,X0)),true,theorem(or(sF19,X0)),true),
inference(forward_demodulation,[],[f13312,f1]) ).
fof(f13357,plain,
true = ifeq(true,true,theorem(or(sF19,or(sF13,sF22))),true),
inference(superposition,[],[f13352,f1395]) ).
fof(f13385,plain,
true = theorem(or(sF19,or(sF13,sF22))),
inference(forward_demodulation,[],[f13357,f1]) ).
fof(f13394,plain,
true = ifeq(true,true,theorem(or(sF13,or(sF19,sF22))),true),
inference(superposition,[],[f134,f13385]) ).
fof(f13425,plain,
true = theorem(or(sF13,or(sF19,sF22))),
inference(forward_demodulation,[],[f13394,f1]) ).
fof(f13509,plain,
true = ifeq(true,true,theorem(or(sF13,or(sF22,sF19))),true),
inference(superposition,[],[f745,f13425]) ).
fof(f13537,plain,
true = theorem(or(sF13,or(sF22,sF19))),
inference(forward_demodulation,[],[f13509,f1]) ).
fof(f16184,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF14)),true,theorem(or(X0,sF19)),true),true),
inference(superposition,[],[f26,f12092]) ).
fof(f16219,plain,
! [X0] : true = ifeq(theorem(or(X0,sF14)),true,theorem(or(X0,sF19)),true),
inference(forward_demodulation,[],[f16184,f1]) ).
fof(f16241,plain,
true = ifeq(true,true,theorem(or(sF12,sF14)),true),
inference(superposition,[],[f1215,f1683]) ).
fof(f16265,plain,
true = theorem(or(sF12,sF14)),
inference(forward_demodulation,[],[f16241,f1]) ).
fof(f16268,plain,
true = ifeq(true,true,theorem(or(sF12,sF19)),true),
inference(superposition,[],[f16219,f16265]) ).
fof(f16298,plain,
true = theorem(or(sF12,sF19)),
inference(forward_demodulation,[],[f16268,f1]) ).
fof(f16341,plain,
true = ifeq(true,true,theorem(or(sF19,sF12)),true),
inference(superposition,[],[f420,f16298]) ).
fof(f16362,plain,
true = theorem(or(sF19,sF12)),
inference(forward_demodulation,[],[f16341,f1]) ).
fof(f16432,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF12),X0)),or(sF19,X0))),true),
inference(superposition,[],[f594,f16362]) ).
fof(f16451,plain,
! [X0] : true = theorem(or(not(or(not(sF12),X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f16432,f1]) ).
fof(f16457,plain,
! [X0] : true = theorem(or(not(or(sF13,X0)),or(sF19,X0))),
inference(forward_demodulation,[],[f16451,f55]) ).
fof(f16636,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF13,X0)),true,theorem(or(sF19,X0)),true),true),
inference(superposition,[],[f26,f16457]) ).
fof(f16676,plain,
! [X0] : true = ifeq(theorem(or(sF13,X0)),true,theorem(or(sF19,X0)),true),
inference(forward_demodulation,[],[f16636,f1]) ).
fof(f16686,plain,
true = ifeq(true,true,theorem(or(sF19,or(sF22,sF19))),true),
inference(superposition,[],[f16676,f13537]) ).
fof(f16720,plain,
true = theorem(or(sF19,or(sF22,sF19))),
inference(forward_demodulation,[],[f16686,f1]) ).
fof(f16948,plain,
true = ifeq(true,true,theorem(or(sF22,or(sF19,sF19))),true),
inference(superposition,[],[f134,f16720]) ).
fof(f16979,plain,
true = theorem(or(sF22,or(sF19,sF19))),
inference(forward_demodulation,[],[f16948,f1]) ).
fof(f17702,plain,
true = ifeq(true,true,theorem(or(sF22,sF19)),true),
inference(superposition,[],[f1513,f16979]) ).
fof(f17726,plain,
true = theorem(or(sF22,sF19)),
inference(forward_demodulation,[],[f17702,f1]) ).
fof(f17738,plain,
true = ifeq(true,true,theorem(or(sF19,sF22)),true),
inference(superposition,[],[f420,f17726]) ).
fof(f17759,plain,
true = theorem(or(sF19,sF22)),
inference(forward_demodulation,[],[f17738,f1]) ).
fof(f17802,plain,
true = ifeq(true,true,theorem(or(not(not(sF22)),sF19)),true),
inference(superposition,[],[f1935,f17759]) ).
fof(f17814,plain,
true = theorem(or(not(not(sF22)),sF19)),
inference(forward_demodulation,[],[f17802,f1]) ).
fof(f17821,plain,
true = theorem(or(not(sF23),sF19)),
inference(forward_demodulation,[],[f17814,f75]) ).
fof(f17824,plain,
true = ifeq(true,true,theorem(or(sF25,or(sF21,sF19))),true),
inference(superposition,[],[f480,f17821]) ).
fof(f17864,plain,
true = theorem(or(sF25,or(sF21,sF19))),
inference(forward_demodulation,[],[f17824,f1]) ).
fof(f17945,plain,
true = ifeq(true,true,theorem(or(sF21,or(sF25,sF19))),true),
inference(superposition,[],[f134,f17864]) ).
fof(f17976,plain,
true = theorem(or(sF21,or(sF25,sF19))),
inference(forward_demodulation,[],[f17945,f1]) ).
fof(f18092,plain,
true = ifeq(true,true,theorem(or(sF21,or(sF19,sF25))),true),
inference(superposition,[],[f745,f17976]) ).
fof(f18120,plain,
true = theorem(or(sF21,or(sF19,sF25))),
inference(forward_demodulation,[],[f18092,f1]) ).
fof(f18124,plain,
true = theorem(or(sF21,sF26)),
inference(forward_demodulation,[],[f18120,f81]) ).
fof(f18128,plain,
true = ifeq(true,true,theorem(or(p,sF26)),true),
inference(superposition,[],[f10156,f18124]) ).
fof(f18132,plain,
true = ifeq(true,true,theorem(or(sF26,sF21)),true),
inference(superposition,[],[f420,f18124]) ).
fof(f18153,plain,
true = theorem(or(sF26,sF21)),
inference(forward_demodulation,[],[f18132,f1]) ).
fof(f18154,plain,
true = theorem(or(p,sF26)),
inference(forward_demodulation,[],[f18128,f1]) ).
fof(f18161,plain,
true = ifeq(true,true,theorem(or(sF26,p)),true),
inference(superposition,[],[f420,f18154]) ).
fof(f18182,plain,
true = theorem(or(sF26,p)),
inference(forward_demodulation,[],[f18161,f1]) ).
fof(f18186,plain,
true = ifeq(true,true,theorem(or(sF26,sF11)),true),
inference(superposition,[],[f8333,f18153]) ).
fof(f18212,plain,
true = theorem(or(sF26,sF11)),
inference(forward_demodulation,[],[f18186,f1]) ).
fof(f18221,plain,
true = ifeq(true,true,theorem(or(sF11,sF26)),true),
inference(superposition,[],[f420,f18212]) ).
fof(f18242,plain,
true = theorem(or(sF11,sF26)),
inference(forward_demodulation,[],[f18221,f1]) ).
fof(f18248,plain,
true = ifeq(true,true,theorem(or(sF10,or(sF3,sF26))),true),
inference(superposition,[],[f497,f18242]) ).
fof(f18276,plain,
true = theorem(or(sF10,or(sF3,sF26))),
inference(forward_demodulation,[],[f18248,f1]) ).
fof(f18286,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF26,X0))),true),
inference(superposition,[],[f594,f18182]) ).
fof(f18305,plain,
! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f18286,f1]) ).
fof(f18311,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f18305,f29]) ).
fof(f18315,plain,
true = ifeq(true,true,theorem(or(sF3,or(sF10,sF26))),true),
inference(superposition,[],[f134,f18276]) ).
fof(f18346,plain,
true = theorem(or(sF3,or(sF10,sF26))),
inference(forward_demodulation,[],[f18315,f1]) ).
fof(f18383,plain,
true = theorem(or(not(sF1),or(sF26,q))),
inference(superposition,[],[f18311,f31]) ).
fof(f18431,plain,
true = theorem(or(sF2,or(sF26,q))),
inference(forward_demodulation,[],[f18383,f33]) ).
fof(f18433,plain,
true = ifeq(true,true,theorem(or(sF26,or(sF26,q))),true),
inference(superposition,[],[f11538,f18431]) ).
fof(f18472,plain,
true = theorem(or(sF26,or(sF26,q))),
inference(forward_demodulation,[],[f18433,f1]) ).
fof(f18724,plain,
true = ifeq(true,true,theorem(or(sF26,or(q,sF26))),true),
inference(superposition,[],[f745,f18472]) ).
fof(f18752,plain,
true = theorem(or(sF26,or(q,sF26))),
inference(forward_demodulation,[],[f18724,f1]) ).
fof(f20235,plain,
true = ifeq(true,true,theorem(or(q,or(sF26,sF26))),true),
inference(superposition,[],[f134,f18752]) ).
fof(f20266,plain,
true = theorem(or(q,or(sF26,sF26))),
inference(forward_demodulation,[],[f20235,f1]) ).
fof(f20276,plain,
true = ifeq(true,true,theorem(or(q,sF26)),true),
inference(superposition,[],[f1513,f20266]) ).
fof(f20300,plain,
true = theorem(or(q,sF26)),
inference(forward_demodulation,[],[f20276,f1]) ).
fof(f20308,plain,
true = ifeq(true,true,theorem(or(sF26,q)),true),
inference(superposition,[],[f420,f20300]) ).
fof(f20329,plain,
true = theorem(or(sF26,q)),
inference(forward_demodulation,[],[f20308,f1]) ).
fof(f20341,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(q),X0)),or(sF26,X0))),true),
inference(superposition,[],[f594,f20329]) ).
fof(f20360,plain,
! [X0] : true = theorem(or(not(or(not(q),X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f20341,f1]) ).
fof(f20366,plain,
! [X0] : true = theorem(or(not(or(sF3,X0)),or(sF26,X0))),
inference(forward_demodulation,[],[f20360,f35]) ).
fof(f20406,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF3,X0)),true,theorem(or(sF26,X0)),true),true),
inference(superposition,[],[f26,f20366]) ).
fof(f20446,plain,
! [X0] : true = ifeq(theorem(or(sF3,X0)),true,theorem(or(sF26,X0)),true),
inference(forward_demodulation,[],[f20406,f1]) ).
fof(f20535,plain,
true = ifeq(true,true,theorem(or(sF26,or(sF10,sF26))),true),
inference(superposition,[],[f20446,f18346]) ).
fof(f20584,plain,
true = theorem(or(sF26,or(sF10,sF26))),
inference(forward_demodulation,[],[f20535,f1]) ).
fof(f20675,plain,
true = ifeq(true,true,theorem(or(sF10,or(sF26,sF26))),true),
inference(superposition,[],[f134,f20584]) ).
fof(f20706,plain,
true = theorem(or(sF10,or(sF26,sF26))),
inference(forward_demodulation,[],[f20675,f1]) ).
fof(f20753,plain,
true = ifeq(true,true,theorem(or(sF10,sF26)),true),
inference(superposition,[],[f1513,f20706]) ).
fof(f20777,plain,
true = theorem(or(sF10,sF26)),
inference(forward_demodulation,[],[f20753,f1]) ).
fof(f20789,plain,
true = ifeq(true,true,theorem(or(sF26,sF10)),true),
inference(superposition,[],[f420,f20777]) ).
fof(f20810,plain,
true = theorem(or(sF26,sF10)),
inference(forward_demodulation,[],[f20789,f1]) ).
fof(f20820,plain,
true = ifeq(true,true,theorem(or(sF26,sF14)),true),
inference(superposition,[],[f2734,f20810]) ).
fof(f20844,plain,
true = theorem(or(sF26,sF14)),
inference(forward_demodulation,[],[f20820,f1]) ).
fof(f20854,plain,
true = ifeq(true,true,theorem(or(sF26,sF16)),true),
inference(superposition,[],[f5001,f20844]) ).
fof(f20880,plain,
true = theorem(or(sF26,sF16)),
inference(forward_demodulation,[],[f20854,f1]) ).
fof(f20909,plain,
true = ifeq(theorem(or(not(or(sF26,sF16)),sF26)),true,ifeq(true,true,sF27,true),true),
inference(superposition,[],[f93,f20880]) ).
fof(f20915,plain,
true = ifeq(theorem(or(not(or(sF26,sF16)),sF26)),true,sF27,true),
inference(forward_demodulation,[],[f20909,f1]) ).
fof(f20924,plain,
true = ifeq(true,true,sF27,true),
inference(forward_demodulation,[],[f20915,f9095]) ).
fof(f20925,plain,
true = sF27,
inference(forward_demodulation,[],[f20924,f1]) ).
fof(f20926,plain,
$false,
inference(forward_subsumption_resolution,[],[f20925,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL270-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 15:34:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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
% 80.92/13.58 % (3683962)Detected a unit-equality problem, will run specialized UEQ schedule.
% 80.92/13.58 % (3683972)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1351079695:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 80.92/13.58 % (3683968)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=4250063434:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 80.92/13.58 % (3683967)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=2836868430:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 80.92/13.58 % (3683971)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3156647546:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 80.92/13.58 % (3683969)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2483719149:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 80.92/13.58 % (3683970)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2945914610:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 80.92/13.58 % (3683973)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=46868035:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 80.92/13.58 % (3683972)Instruction limit reached!
% 80.92/13.58 % (3683972)------------------------------
% 80.92/13.58 % (3683972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683972)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683972)Termination reason: Instruction limit
% 80.92/13.58 % (3683972)Termination phase: Saturation
% 80.92/13.58 % (3683972)Time elapsed: 0.136 s
% 80.92/13.58 % (3683972)Peak memory usage: 91 MB
% 80.92/13.58 % (3683972)Instructions burned: 259 (million)
% 80.92/13.58 % (3683970)Instruction limit reached!
% 80.92/13.58 % (3683970)------------------------------
% 80.92/13.58 % (3683970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683970)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683970)Termination reason: Instruction limit
% 80.92/13.58 % (3683970)Termination phase: Saturation
% 80.92/13.58 % (3683970)Time elapsed: 0.139 s
% 80.92/13.58 % (3683970)Peak memory usage: 89 MB
% 80.92/13.58 % (3683970)Instructions burned: 137 (million)
% 80.92/13.58 % (3683971)Instruction limit reached!
% 80.92/13.58 % (3683971)------------------------------
% 80.92/13.58 % (3683971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683971)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683971)Termination reason: Instruction limit
% 80.92/13.58 % (3683971)Termination phase: Saturation
% 80.92/13.58 % (3683971)Time elapsed: 0.174 s
% 80.92/13.58 % (3683971)Peak memory usage: 89 MB
% 80.92/13.58 % (3683971)Instructions burned: 181 (million)
% 80.92/13.58 % (3683981)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2328900700:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 80.92/13.58 % (3683982)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=793261048:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 80.92/13.58 % (3683983)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2282402176:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 80.92/13.58 % (3683983)Instruction limit reached!
% 80.92/13.58 % (3683983)------------------------------
% 80.92/13.58 % (3683983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683983)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683983)Termination reason: Instruction limit
% 80.92/13.58 % (3683983)Termination phase: Saturation
% 80.92/13.58 % (3683983)Time elapsed: 0.183 s
% 80.92/13.58 % (3683983)Peak memory usage: 88 MB
% 80.92/13.58 % (3683983)Instructions burned: 215 (million)
% 80.92/13.58 % (3683987)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=406000640: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)
% 80.92/13.58 % (3683973)Instruction limit reached!
% 80.92/13.58 % (3683973)------------------------------
% 80.92/13.58 % (3683973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683973)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683973)Termination reason: Instruction limit
% 80.92/13.58 % (3683973)Termination phase: Saturation
% 80.92/13.58 % (3683973)Time elapsed: 1.128 s
% 80.92/13.58 % (3683973)Peak memory usage: 101 MB
% 80.92/13.58 % (3683973)Instructions burned: 1187 (million)
% 80.92/13.58 % (3683987)Instruction limit reached!
% 80.92/13.58 % (3683987)------------------------------
% 80.92/13.58 % (3683987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683987)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683987)Termination reason: Instruction limit
% 80.92/13.58 % (3683987)Termination phase: Saturation
% 80.92/13.58 % (3683987)Time elapsed: 0.318 s
% 80.92/13.58 % (3683987)Peak memory usage: 94 MB
% 80.92/13.58 % (3683987)Instructions burned: 318 (million)
% 80.92/13.58 % (3683989)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=306307364:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 80.92/13.58 % (3683981)Instruction limit reached!
% 80.92/13.58 % (3683981)------------------------------
% 80.92/13.58 % (3683981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683981)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683981)Termination reason: Instruction limit
% 80.92/13.58 % (3683981)Termination phase: Saturation
% 80.92/13.58 % (3683981)Time elapsed: 1.210 s
% 80.92/13.58 % (3683981)Peak memory usage: 143 MB
% 80.92/13.58 % (3683981)Instructions burned: 2052 (million)
% 80.92/13.58 % (3683990)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1659314768:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 80.92/13.58 % (3683992)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2953300916:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2981 on theBenchmark for (2981ds/14534Mi)
% 80.92/13.58 % (3683990)Instruction limit reached!
% 80.92/13.58 % (3683990)------------------------------
% 80.92/13.58 % (3683990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683990)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683990)Termination reason: Instruction limit
% 80.92/13.58 % (3683990)Termination phase: Saturation
% 80.92/13.58 % (3683990)Time elapsed: 2.698 s
% 80.92/13.58 % (3683990)Peak memory usage: 116 MB
% 80.92/13.58 % (3683990)Instructions burned: 2836 (million)
% 80.92/13.58 % (3683995)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=601636070:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2953 on theBenchmark for (2953ds/11832Mi)
% 80.92/13.58 % (3683982)Instruction limit reached!
% 80.92/13.58 % (3683982)------------------------------
% 80.92/13.58 % (3683982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683982)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683982)Termination reason: Instruction limit
% 80.92/13.58 % (3683982)Termination phase: Saturation
% 80.92/13.58 % (3683982)Time elapsed: 4.901 s
% 80.92/13.58 % (3683982)Peak memory usage: 169 MB
% 80.92/13.58 % (3683982)Instructions burned: 4948 (million)
% 80.92/13.58 % (3683997)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=2484893367:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 80.92/13.58 % (3683997)Instruction limit reached!
% 80.92/13.58 % (3683997)------------------------------
% 80.92/13.58 % (3683997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683997)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683997)Termination reason: Instruction limit
% 80.92/13.58 % (3683997)Termination phase: Saturation
% 80.92/13.58 % (3683997)Time elapsed: 2.345 s
% 80.92/13.58 % (3683997)Peak memory usage: 142 MB
% 80.92/13.58 % (3683997)Instructions burned: 2280 (million)
% 80.92/13.58 % (3683999)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=1257266844:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2916 on theBenchmark for (2916ds/6225Mi)
% 80.92/13.58 % (3683992)Instruction limit reached!
% 80.92/13.58 % (3683992)------------------------------
% 80.92/13.58 % (3683992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 80.92/13.58 % (3683992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 80.92/13.58 % (3683992)CaDiCaL version: 2.1.3
% 80.92/13.58 % (3683992)Termination reason: Instruction limit
% 80.92/13.58 % (3683992)Termination phase: Saturation
% 80.92/13.58 % (3683992)Time elapsed: 7.669 s
% 80.92/13.58 % (3683992)Peak memory usage: 260 MB
% 80.92/13.58 % (3683992)Instructions burned: 14535 (million)
% 80.92/13.58 % (3684001)lrs-1010_1_sil=32000:tgt=ground:etr=on:sp=const_frequency:spb=goal_then_units:rnwc=on:lwlo=on:random_seed=1327419585:lrd=on:i=21755:kws=frequency:fgj=on:bd=preordered:nm=4:ins=20:av=off_2901 on theBenchmark for (2901ds/21755Mi)
% 80.92/13.58 % (3683995)First to succeed.
% 80.92/13.58 % (3683995)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3683962"
% 80.92/13.58 % (3683995)Refutation found. Thanks to Tanya!
% 80.92/13.58 % SZS status Unsatisfiable for theBenchmark
% 80.92/13.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/13.91 % (3683995)------------------------------
% 0.18/13.91 % (3683995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/13.91 % (3683995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/13.91 % (3683995)CaDiCaL version: 2.1.3
% 0.18/13.91 % (3683995)Termination reason: Refutation
% 0.18/13.91 % (3683995)Time elapsed: 7.113 s
% 0.18/13.91 % (3683995)Peak memory usage: 185 MB
% 0.18/13.91 % (3683995)Instructions burned: 6442 (million)
% 0.18/13.91 % (3683995)------------------------------
% 0.18/13.91 % (3683995)------------------------------
% 0.18/13.91 % (3683962)Success in time 12.557 s
% 0.18/13.91 % Vampire exiting
%------------------------------------------------------------------------------