%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL339-10 : 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 : 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 11:52:01 AM UTC 2026
% Result : Unsatisfiable 21.36s 8.15s
% Output : Refutation 51.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 91
% Number of leaves : 30
% Syntax : Number of formulae : 287 ( 287 unt; 18 def)
% Number of atoms : 287 ( 286 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 : 30 ( 30 usr; 22 con; 0-4 aty)
% Number of variables : 290 ( 290 !; 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(equivalent(implies(p,implies(q,r)),implies(p,implies(q,and(p,r))))) != true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f19,plain,
true != theorem(equivalent(implies(p,implies(q,r)),implies(p,implies(q,and(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(not(p),or(not(q),r))),or(not(p),or(not(q),not(or(not(p),not(r))))))),not(or(not(or(not(p),or(not(q),not(or(not(p),not(r)))))),or(not(p),or(not(q),r))))))),
inference(definition_unfolding,[],[f19,f20,f11,f11,f11,f11,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(p),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f29,plain,
not(p) = sF0,
inference(reorient_equations,[],[f28]) ).
fof(f30,definition,
sF1 = not(q),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f31,plain,
not(q) = sF1,
inference(reorient_equations,[],[f30]) ).
fof(f32,definition,
sF2 = or(sF1,r),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f33,plain,
or(sF1,r) = sF2,
inference(reorient_equations,[],[f32]) ).
fof(f34,definition,
sF3 = or(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f35,plain,
or(sF0,sF2) = sF3,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF4 = not(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f37,plain,
not(sF3) = sF4,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF5 = not(r),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f39,plain,
not(r) = sF5,
inference(reorient_equations,[],[f38]) ).
fof(f40,definition,
sF6 = or(sF0,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f41,plain,
or(sF0,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 = or(sF1,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f45,plain,
or(sF1,sF7) = sF8,
inference(reorient_equations,[],[f44]) ).
fof(f46,definition,
sF9 = or(sF0,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f47,plain,
or(sF0,sF8) = sF9,
inference(reorient_equations,[],[f46]) ).
fof(f48,definition,
sF10 = or(sF4,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f49,plain,
or(sF4,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 = not(sF9),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f53,plain,
not(sF9) = sF12,
inference(reorient_equations,[],[f52]) ).
fof(f54,definition,
sF13 = or(sF12,sF3),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f55,plain,
or(sF12,sF3) = sF13,
inference(reorient_equations,[],[f54]) ).
fof(f56,definition,
sF14 = not(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f57,plain,
not(sF13) = sF14,
inference(reorient_equations,[],[f56]) ).
fof(f58,definition,
sF15 = or(sF11,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f59,plain,
or(sF11,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 = theorem(sF16),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f63,plain,
theorem(sF16) = sF17,
inference(reorient_equations,[],[f62]) ).
fof(f64,plain,
true != sF17,
inference(definition_folding,[],[f21,f63,f61,f59,f57,f55,f35,f33,f31,f29,f53,f47,f45,f43,f41,f39,f29,f31,f29,f51,f49,f47,f45,f43,f41,f39,f29,f31,f29,f37,f35,f33,f31,f29]) ).
fof(f80,plain,
! [X0] : true = ifeq(theorem(or(not(X0),sF16)),true,ifeq(theorem(X0),true,sF17,true),true),
inference(superposition,[],[f22,f63]) ).
fof(f168,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(X1,X0))),true),
inference(superposition,[],[f13,f25]) ).
fof(f169,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(f170,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(f171,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,X0)),X0)),true),
inference(superposition,[],[f13,f27]) ).
fof(f172,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X1,X0))),true),
inference(superposition,[],[f13,f26]) ).
fof(f174,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X1,X0))),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f175,plain,
! [X0] : true = theorem(or(not(or(X0,X0)),X0)),
inference(forward_demodulation,[],[f171,f1]) ).
fof(f176,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(forward_demodulation,[],[f170,f1]) ).
fof(f177,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(forward_demodulation,[],[f169,f1]) ).
fof(f178,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(forward_demodulation,[],[f168,f1]) ).
fof(f195,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,f177]) ).
fof(f201,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X1,or(X0,X2))),true),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f227,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,f176]) ).
fof(f230,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,[],[f22,f176]) ).
fof(f231,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,[],[f230,f1]) ).
fof(f233,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,[],[f227,f1]) ).
fof(f266,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),true),
inference(superposition,[],[f22,f178]) ).
fof(f272,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X1,X0)),true),
inference(forward_demodulation,[],[f266,f1]) ).
fof(f293,plain,
true = theorem(or(not(sF9),sF10)),
inference(superposition,[],[f174,f49]) ).
fof(f304,plain,
true = theorem(or(sF12,sF10)),
inference(forward_demodulation,[],[f293,f53]) ).
fof(f310,plain,
! [X0] : true = ifeq(theorem(or(X0,sF2)),true,theorem(or(sF1,or(X0,r))),true),
inference(superposition,[],[f201,f33]) ).
fof(f315,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,[],[f201,f176]) ).
fof(f337,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(not(or(not(X0),X1)),or(X2,X1)))),
inference(forward_demodulation,[],[f315,f1]) ).
fof(f364,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,f337]) ).
fof(f373,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,[],[f364,f1]) ).
fof(f395,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f233,f178]) ).
fof(f396,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),true),
inference(superposition,[],[f233,f175]) ).
fof(f397,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),true),
inference(superposition,[],[f233,f174]) ).
fof(f398,plain,
! [X0] : true = ifeq(theorem(or(not(sF5),X0)),true,theorem(or(not(sF6),or(sF0,X0))),true),
inference(superposition,[],[f233,f41]) ).
fof(f400,plain,
! [X0] : true = ifeq(theorem(or(not(sF8),X0)),true,theorem(or(not(sF9),or(sF0,X0))),true),
inference(superposition,[],[f233,f47]) ).
fof(f404,plain,
! [X0] : true = ifeq(theorem(or(not(sF14),X0)),true,theorem(or(not(sF15),or(sF11,X0))),true),
inference(superposition,[],[f233,f59]) ).
fof(f422,plain,
! [X0] : true = ifeq(theorem(or(not(sF14),X0)),true,theorem(or(sF16,or(sF11,X0))),true),
inference(forward_demodulation,[],[f404,f61]) ).
fof(f425,plain,
! [X0] : true = ifeq(theorem(or(not(sF8),X0)),true,theorem(or(sF12,or(sF0,X0))),true),
inference(forward_demodulation,[],[f400,f53]) ).
fof(f427,plain,
! [X0] : true = ifeq(theorem(or(not(sF5),X0)),true,theorem(or(sF7,or(sF0,X0))),true),
inference(forward_demodulation,[],[f398,f43]) ).
fof(f428,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f397,f1]) ).
fof(f429,plain,
! [X0,X1] : true = theorem(or(not(or(X1,or(X0,X0))),or(X1,X0))),
inference(forward_demodulation,[],[f396,f1]) ).
fof(f430,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,X1))),or(X2,or(X1,X0)))),
inference(forward_demodulation,[],[f395,f1]) ).
fof(f454,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,f430]) ).
fof(f462,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,or(X1,X2))),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f454,f1]) ).
fof(f479,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(X0),or(X0,X1))),true),
inference(superposition,[],[f462,f174]) ).
fof(f497,plain,
! [X0,X1] : true = theorem(or(not(X0),or(X0,X1))),
inference(forward_demodulation,[],[f479,f1]) ).
fof(f530,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,f428]) ).
fof(f541,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X2,X1))),true),
inference(forward_demodulation,[],[f530,f1]) ).
fof(f609,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),true),
inference(superposition,[],[f233,f497]) ).
fof(f614,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(X0,or(not(X0),X1))),true),
inference(superposition,[],[f201,f497]) ).
fof(f622,plain,
! [X0,X1] : true = theorem(or(X0,or(not(X0),X1))),
inference(forward_demodulation,[],[f614,f1]) ).
fof(f626,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,X0)),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f609,f1]) ).
fof(f636,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,[],[f233,f429]) ).
fof(f637,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),true),
inference(superposition,[],[f22,f429]) ).
fof(f651,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,or(X1,X1))),true,theorem(or(X0,X1)),true),
inference(forward_demodulation,[],[f637,f1]) ).
fof(f652,plain,
! [X2,X0,X1] : true = theorem(or(not(or(X2,or(X0,or(X1,X1)))),or(X2,or(X0,X1)))),
inference(forward_demodulation,[],[f636,f1]) ).
fof(f661,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(X0),X0)),true),
inference(superposition,[],[f651,f497]) ).
fof(f682,plain,
! [X0] : true = theorem(or(not(X0),X0)),
inference(forward_demodulation,[],[f661,f1]) ).
fof(f709,plain,
! [X0] : true = ifeq(true,true,theorem(or(X0,not(X0))),true),
inference(superposition,[],[f272,f682]) ).
fof(f715,plain,
! [X0] : true = theorem(or(X0,not(X0))),
inference(forward_demodulation,[],[f709,f1]) ).
fof(f723,plain,
true = theorem(or(p,sF0)),
inference(superposition,[],[f715,f29]) ).
fof(f724,plain,
true = theorem(or(q,sF1)),
inference(superposition,[],[f715,f31]) ).
fof(f725,plain,
true = theorem(or(r,sF5)),
inference(superposition,[],[f715,f39]) ).
fof(f735,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),true),
inference(superposition,[],[f233,f715]) ).
fof(f747,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(X1,not(not(X0))))),
inference(forward_demodulation,[],[f735,f1]) ).
fof(f770,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f462,f747]) ).
fof(f785,plain,
! [X0,X1] : true = theorem(or(not(or(X0,X1)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f770,f1]) ).
fof(f825,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),true),
inference(superposition,[],[f22,f785]) ).
fof(f843,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X1)),X0)),true),
inference(forward_demodulation,[],[f825,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,[],[f373,f178]) ).
fof(f979,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f373,f174]) ).
fof(f980,plain,
! [X2,X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),true),
inference(superposition,[],[f373,f497]) ).
fof(f1015,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X0,X1)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f980,f1]) ).
fof(f1016,plain,
! [X2,X0,X1] : true = theorem(or(not(or(not(or(X1,X0)),X2)),or(not(X0),X2))),
inference(forward_demodulation,[],[f979,f1]) ).
fof(f1026,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(f1068,plain,
! [X0] : true = ifeq(theorem(or(X0,sF5)),true,theorem(or(X0,sF6)),true),
inference(superposition,[],[f541,f41]) ).
fof(f1071,plain,
! [X0] : true = ifeq(theorem(or(X0,sF7)),true,theorem(or(X0,sF8)),true),
inference(superposition,[],[f541,f45]) ).
fof(f1147,plain,
true = ifeq(true,true,theorem(or(r,sF6)),true),
inference(superposition,[],[f1068,f725]) ).
fof(f1151,plain,
true = theorem(or(r,sF6)),
inference(forward_demodulation,[],[f1147,f1]) ).
fof(f1419,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,f626]) ).
fof(f1445,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(X0,or(X1,X2))),true),
inference(forward_demodulation,[],[f1419,f1]) ).
fof(f1487,plain,
! [X0] : true = ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF9)),true),
inference(superposition,[],[f1445,f47]) ).
fof(f1488,plain,
! [X0] : true = ifeq(theorem(or(X0,sF1)),true,theorem(or(X0,sF8)),true),
inference(superposition,[],[f1445,f45]) ).
fof(f1544,plain,
true = ifeq(true,true,theorem(or(q,sF8)),true),
inference(superposition,[],[f1488,f724]) ).
fof(f1549,plain,
true = theorem(or(q,sF8)),
inference(forward_demodulation,[],[f1544,f1]) ).
fof(f1794,plain,
true = ifeq(true,true,theorem(or(p,sF9)),true),
inference(superposition,[],[f1487,f723]) ).
fof(f1800,plain,
true = theorem(or(p,sF9)),
inference(forward_demodulation,[],[f1794,f1]) ).
fof(f1811,plain,
true = ifeq(true,true,theorem(or(sF9,p)),true),
inference(superposition,[],[f272,f1800]) ).
fof(f1820,plain,
true = theorem(or(sF9,p)),
inference(forward_demodulation,[],[f1811,f1]) ).
fof(f2084,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,f1016]) ).
fof(f2113,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X1),X2)),true),
inference(forward_demodulation,[],[f2084,f1]) ).
fof(f2126,plain,
! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(not(sF8),X0)),true),
inference(superposition,[],[f2113,f47]) ).
fof(f2203,plain,
! [X0] : true = ifeq(theorem(or(sF12,X0)),true,theorem(or(not(sF8),X0)),true),
inference(forward_demodulation,[],[f2126,f53]) ).
fof(f2349,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,f1026]) ).
fof(f2378,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,[],[f2349,f1]) ).
fof(f2402,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(X1,X0)),or(not(not(X1)),X0))),true),
inference(superposition,[],[f2378,f785]) ).
fof(f2479,plain,
! [X0,X1] : true = theorem(or(not(or(X1,X0)),or(not(not(X1)),X0))),
inference(forward_demodulation,[],[f2402,f1]) ).
fof(f2510,plain,
! [X0,X1] : true = ifeq(true,true,ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X0)),X1)),true),true),
inference(superposition,[],[f22,f2479]) ).
fof(f2539,plain,
! [X0,X1] : true = ifeq(theorem(or(X0,X1)),true,theorem(or(not(not(X0)),X1)),true),
inference(forward_demodulation,[],[f2510,f1]) ).
fof(f3370,plain,
! [X0,X1] : true = ifeq(true,true,theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),true),
inference(superposition,[],[f231,f652]) ).
fof(f3456,plain,
! [X0,X1] : true = theorem(or(not(or(not(X0),X1)),or(not(or(X1,X0)),X1))),
inference(forward_demodulation,[],[f3370,f1]) ).
fof(f3501,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,f3456]) ).
fof(f3531,plain,
! [X0,X1] : true = ifeq(theorem(or(not(X0),X1)),true,theorem(or(not(or(X1,X0)),X1)),true),
inference(forward_demodulation,[],[f3501,f1]) ).
fof(f4004,plain,
true = ifeq(true,true,theorem(or(not(not(sF6)),r)),true),
inference(superposition,[],[f843,f1151]) ).
fof(f4020,plain,
true = ifeq(true,true,theorem(or(not(not(sF10)),sF12)),true),
inference(superposition,[],[f843,f304]) ).
fof(f4043,plain,
true = theorem(or(not(not(sF10)),sF12)),
inference(forward_demodulation,[],[f4020,f1]) ).
fof(f4059,plain,
true = theorem(or(not(not(sF6)),r)),
inference(forward_demodulation,[],[f4004,f1]) ).
fof(f4114,plain,
true = theorem(or(not(sF11),sF12)),
inference(forward_demodulation,[],[f4043,f51]) ).
fof(f4126,plain,
true = theorem(or(not(sF7),r)),
inference(forward_demodulation,[],[f4059,f43]) ).
fof(f4892,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF11)),or(X0,sF12))),true),
inference(superposition,[],[f233,f4114]) ).
fof(f4920,plain,
! [X0] : true = theorem(or(not(or(X0,sF11)),or(X0,sF12))),
inference(forward_demodulation,[],[f4892,f1]) ).
fof(f4929,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF11)),true,theorem(or(X0,sF12)),true),true),
inference(superposition,[],[f22,f4920]) ).
fof(f4964,plain,
! [X0] : true = ifeq(theorem(or(X0,sF11)),true,theorem(or(X0,sF12)),true),
inference(forward_demodulation,[],[f4929,f1]) ).
fof(f5048,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF7)),or(X0,r))),true),
inference(superposition,[],[f233,f4126]) ).
fof(f5076,plain,
! [X0] : true = theorem(or(not(or(X0,sF7)),or(X0,r))),
inference(forward_demodulation,[],[f5048,f1]) ).
fof(f5082,plain,
true = theorem(or(not(or(sF1,sF7)),sF2)),
inference(superposition,[],[f5076,f33]) ).
fof(f5130,plain,
true = theorem(or(not(sF8),sF2)),
inference(forward_demodulation,[],[f5082,f45]) ).
fof(f5132,plain,
true = ifeq(true,true,theorem(or(sF12,or(sF0,sF2))),true),
inference(superposition,[],[f425,f5130]) ).
fof(f5169,plain,
true = theorem(or(sF12,or(sF0,sF2))),
inference(forward_demodulation,[],[f5132,f1]) ).
fof(f5170,plain,
true = theorem(or(sF12,sF3)),
inference(forward_demodulation,[],[f5169,f35]) ).
fof(f5171,plain,
true = theorem(sF13),
inference(forward_demodulation,[],[f5170,f55]) ).
fof(f5177,plain,
! [X0] : true = ifeq(theorem(or(not(sF13),X0)),true,ifeq(true,true,theorem(X0),true),true),
inference(superposition,[],[f22,f5171]) ).
fof(f5178,plain,
! [X0] : true = ifeq(theorem(or(not(sF13),X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f5177,f1]) ).
fof(f5181,plain,
! [X0] : true = ifeq(theorem(or(sF14,X0)),true,theorem(X0),true),
inference(forward_demodulation,[],[f5178,f57]) ).
fof(f5184,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(sF14),X0)),true),
inference(superposition,[],[f5181,f622]) ).
fof(f5282,plain,
! [X0] : true = theorem(or(not(sF14),X0)),
inference(forward_demodulation,[],[f5184,f1]) ).
fof(f5285,plain,
! [X0] : true = ifeq(true,true,theorem(or(sF16,or(sF11,X0))),true),
inference(superposition,[],[f422,f5282]) ).
fof(f5408,plain,
! [X0] : true = theorem(or(sF16,or(sF11,X0))),
inference(forward_demodulation,[],[f5285,f1]) ).
fof(f7466,plain,
true = ifeq(true,true,theorem(or(sF16,sF11)),true),
inference(superposition,[],[f651,f5408]) ).
fof(f7495,plain,
true = theorem(or(sF16,sF11)),
inference(forward_demodulation,[],[f7466,f1]) ).
fof(f7500,plain,
true = ifeq(true,true,theorem(or(sF16,sF12)),true),
inference(superposition,[],[f4964,f7495]) ).
fof(f7502,plain,
true = ifeq(true,true,theorem(or(sF11,sF16)),true),
inference(superposition,[],[f272,f7495]) ).
fof(f7527,plain,
true = theorem(or(sF11,sF16)),
inference(forward_demodulation,[],[f7502,f1]) ).
fof(f7529,plain,
true = theorem(or(sF16,sF12)),
inference(forward_demodulation,[],[f7500,f1]) ).
fof(f7534,plain,
true = ifeq(true,true,theorem(or(sF12,sF16)),true),
inference(superposition,[],[f272,f7529]) ).
fof(f7559,plain,
true = theorem(or(sF12,sF16)),
inference(forward_demodulation,[],[f7534,f1]) ).
fof(f8002,plain,
true = ifeq(true,true,theorem(or(not(sF8),sF16)),true),
inference(superposition,[],[f2203,f7559]) ).
fof(f8019,plain,
true = theorem(or(not(sF8),sF16)),
inference(forward_demodulation,[],[f8002,f1]) ).
fof(f8031,plain,
true = ifeq(true,true,theorem(or(not(or(sF16,sF8)),sF16)),true),
inference(superposition,[],[f3531,f8019]) ).
fof(f8033,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF8)),or(X0,sF16))),true),
inference(superposition,[],[f233,f8019]) ).
fof(f8063,plain,
! [X0] : true = theorem(or(not(or(X0,sF8)),or(X0,sF16))),
inference(forward_demodulation,[],[f8033,f1]) ).
fof(f8064,plain,
true = theorem(or(not(or(sF16,sF8)),sF16)),
inference(forward_demodulation,[],[f8031,f1]) ).
fof(f8076,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF8)),true,theorem(or(X0,sF16)),true),true),
inference(superposition,[],[f22,f8063]) ).
fof(f8115,plain,
! [X0] : true = ifeq(theorem(or(X0,sF8)),true,theorem(or(X0,sF16)),true),
inference(forward_demodulation,[],[f8076,f1]) ).
fof(f8125,plain,
true = ifeq(true,true,theorem(or(q,sF16)),true),
inference(superposition,[],[f8115,f1549]) ).
fof(f8134,plain,
true = theorem(or(q,sF16)),
inference(forward_demodulation,[],[f8125,f1]) ).
fof(f8139,plain,
true = ifeq(true,true,theorem(or(sF16,q)),true),
inference(superposition,[],[f272,f8134]) ).
fof(f8165,plain,
true = theorem(or(sF16,q)),
inference(forward_demodulation,[],[f8139,f1]) ).
fof(f8169,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(q),X0)),or(sF16,X0))),true),
inference(superposition,[],[f373,f8165]) ).
fof(f8192,plain,
! [X0] : true = theorem(or(not(or(not(q),X0)),or(sF16,X0))),
inference(forward_demodulation,[],[f8169,f1]) ).
fof(f8197,plain,
! [X0] : true = theorem(or(not(or(sF1,X0)),or(sF16,X0))),
inference(forward_demodulation,[],[f8192,f31]) ).
fof(f8206,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF1,X0)),true,theorem(or(sF16,X0)),true),true),
inference(superposition,[],[f22,f8197]) ).
fof(f8247,plain,
! [X0] : true = ifeq(theorem(or(sF1,X0)),true,theorem(or(sF16,X0)),true),
inference(forward_demodulation,[],[f8206,f1]) ).
fof(f14104,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF9,X0))),true),
inference(superposition,[],[f373,f1820]) ).
fof(f14131,plain,
! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF9,X0))),
inference(forward_demodulation,[],[f14104,f1]) ).
fof(f14136,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF9,X0))),
inference(forward_demodulation,[],[f14131,f29]) ).
fof(f14138,plain,
true = theorem(or(not(sF3),or(sF9,sF2))),
inference(superposition,[],[f14136,f35]) ).
fof(f14211,plain,
true = theorem(or(sF4,or(sF9,sF2))),
inference(forward_demodulation,[],[f14138,f37]) ).
fof(f14269,plain,
true = ifeq(true,true,theorem(or(sF9,or(sF4,sF2))),true),
inference(superposition,[],[f201,f14211]) ).
fof(f14311,plain,
true = theorem(or(sF9,or(sF4,sF2))),
inference(forward_demodulation,[],[f14269,f1]) ).
fof(f14487,plain,
true = ifeq(true,true,theorem(or(sF9,or(sF2,sF4))),true),
inference(superposition,[],[f462,f14311]) ).
fof(f14526,plain,
true = theorem(or(sF9,or(sF2,sF4))),
inference(forward_demodulation,[],[f14487,f1]) ).
fof(f15097,plain,
true = ifeq(true,true,theorem(or(sF2,or(sF9,sF4))),true),
inference(superposition,[],[f201,f14526]) ).
fof(f15139,plain,
true = theorem(or(sF2,or(sF9,sF4))),
inference(forward_demodulation,[],[f15097,f1]) ).
fof(f15145,plain,
true = ifeq(true,true,theorem(or(sF2,or(sF4,sF9))),true),
inference(superposition,[],[f462,f15139]) ).
fof(f15184,plain,
true = theorem(or(sF2,or(sF4,sF9))),
inference(forward_demodulation,[],[f15145,f1]) ).
fof(f15186,plain,
true = theorem(or(sF2,sF10)),
inference(forward_demodulation,[],[f15184,f49]) ).
fof(f15194,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(sF10),X0)),or(sF2,X0))),true),
inference(superposition,[],[f373,f15186]) ).
fof(f15221,plain,
! [X0] : true = theorem(or(not(or(not(sF10),X0)),or(sF2,X0))),
inference(forward_demodulation,[],[f15194,f1]) ).
fof(f15225,plain,
! [X0] : true = theorem(or(not(or(sF11,X0)),or(sF2,X0))),
inference(forward_demodulation,[],[f15221,f51]) ).
fof(f15366,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF11,X0)),true,theorem(or(sF2,X0)),true),true),
inference(superposition,[],[f22,f15225]) ).
fof(f15423,plain,
! [X0] : true = ifeq(theorem(or(sF11,X0)),true,theorem(or(sF2,X0)),true),
inference(forward_demodulation,[],[f15366,f1]) ).
fof(f15438,plain,
true = ifeq(true,true,theorem(or(sF2,sF16)),true),
inference(superposition,[],[f15423,f7527]) ).
fof(f15457,plain,
true = theorem(or(sF2,sF16)),
inference(forward_demodulation,[],[f15438,f1]) ).
fof(f15470,plain,
true = ifeq(true,true,theorem(or(sF16,sF2)),true),
inference(superposition,[],[f272,f15457]) ).
fof(f15500,plain,
true = theorem(or(sF16,sF2)),
inference(forward_demodulation,[],[f15470,f1]) ).
fof(f15503,plain,
true = ifeq(true,true,theorem(or(sF1,or(sF16,r))),true),
inference(superposition,[],[f310,f15500]) ).
fof(f15542,plain,
true = theorem(or(sF1,or(sF16,r))),
inference(forward_demodulation,[],[f15503,f1]) ).
fof(f16188,plain,
true = ifeq(true,true,theorem(or(sF16,or(sF16,r))),true),
inference(superposition,[],[f8247,f15542]) ).
fof(f16240,plain,
true = theorem(or(sF16,or(sF16,r))),
inference(forward_demodulation,[],[f16188,f1]) ).
fof(f16249,plain,
true = ifeq(true,true,theorem(or(sF16,or(r,sF16))),true),
inference(superposition,[],[f462,f16240]) ).
fof(f16288,plain,
true = theorem(or(sF16,or(r,sF16))),
inference(forward_demodulation,[],[f16249,f1]) ).
fof(f16783,plain,
true = ifeq(true,true,theorem(or(r,or(sF16,sF16))),true),
inference(superposition,[],[f201,f16288]) ).
fof(f16825,plain,
true = theorem(or(r,or(sF16,sF16))),
inference(forward_demodulation,[],[f16783,f1]) ).
fof(f17234,plain,
true = ifeq(true,true,theorem(or(r,sF16)),true),
inference(superposition,[],[f651,f16825]) ).
fof(f17266,plain,
true = theorem(or(r,sF16)),
inference(forward_demodulation,[],[f17234,f1]) ).
fof(f17284,plain,
true = ifeq(true,true,theorem(or(not(not(r)),sF16)),true),
inference(superposition,[],[f2539,f17266]) ).
fof(f17300,plain,
true = theorem(or(not(not(r)),sF16)),
inference(forward_demodulation,[],[f17284,f1]) ).
fof(f17307,plain,
true = theorem(or(not(sF5),sF16)),
inference(forward_demodulation,[],[f17300,f39]) ).
fof(f17475,plain,
true = ifeq(true,true,theorem(or(sF7,or(sF0,sF16))),true),
inference(superposition,[],[f427,f17307]) ).
fof(f17521,plain,
true = theorem(or(sF7,or(sF0,sF16))),
inference(forward_demodulation,[],[f17475,f1]) ).
fof(f17528,plain,
true = ifeq(true,true,theorem(or(sF0,or(sF7,sF16))),true),
inference(superposition,[],[f201,f17521]) ).
fof(f17570,plain,
true = theorem(or(sF0,or(sF7,sF16))),
inference(forward_demodulation,[],[f17528,f1]) ).
fof(f21605,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,f1015]) ).
fof(f21663,plain,
! [X2,X0,X1] : true = ifeq(theorem(or(not(or(X0,X1)),X2)),true,theorem(or(not(X0),X2)),true),
inference(forward_demodulation,[],[f21605,f1]) ).
fof(f21678,plain,
! [X0] : true = ifeq(theorem(or(not(sF9),X0)),true,theorem(or(not(sF0),X0)),true),
inference(superposition,[],[f21663,f47]) ).
fof(f22048,plain,
! [X0] : true = ifeq(theorem(or(sF12,X0)),true,theorem(or(not(sF0),X0)),true),
inference(forward_demodulation,[],[f21678,f53]) ).
fof(f22107,plain,
true = ifeq(true,true,theorem(or(not(sF0),sF16)),true),
inference(superposition,[],[f22048,f7559]) ).
fof(f22132,plain,
true = theorem(or(not(sF0),sF16)),
inference(forward_demodulation,[],[f22107,f1]) ).
fof(f22150,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(X0,sF0)),or(X0,sF16))),true),
inference(superposition,[],[f233,f22132]) ).
fof(f22189,plain,
! [X0] : true = theorem(or(not(or(X0,sF0)),or(X0,sF16))),
inference(forward_demodulation,[],[f22150,f1]) ).
fof(f22205,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF16)),true),true),
inference(superposition,[],[f22,f22189]) ).
fof(f22258,plain,
! [X0] : true = ifeq(theorem(or(X0,sF0)),true,theorem(or(X0,sF16)),true),
inference(forward_demodulation,[],[f22205,f1]) ).
fof(f22269,plain,
true = ifeq(true,true,theorem(or(p,sF16)),true),
inference(superposition,[],[f22258,f723]) ).
fof(f22293,plain,
true = theorem(or(p,sF16)),
inference(forward_demodulation,[],[f22269,f1]) ).
fof(f22304,plain,
true = ifeq(true,true,theorem(or(sF16,p)),true),
inference(superposition,[],[f272,f22293]) ).
fof(f22334,plain,
true = theorem(or(sF16,p)),
inference(forward_demodulation,[],[f22304,f1]) ).
fof(f22342,plain,
! [X0] : true = ifeq(true,true,theorem(or(not(or(not(p),X0)),or(sF16,X0))),true),
inference(superposition,[],[f373,f22334]) ).
fof(f22369,plain,
! [X0] : true = theorem(or(not(or(not(p),X0)),or(sF16,X0))),
inference(forward_demodulation,[],[f22342,f1]) ).
fof(f22374,plain,
! [X0] : true = theorem(or(not(or(sF0,X0)),or(sF16,X0))),
inference(forward_demodulation,[],[f22369,f29]) ).
fof(f22388,plain,
! [X0] : true = ifeq(true,true,ifeq(theorem(or(sF0,X0)),true,theorem(or(sF16,X0)),true),true),
inference(superposition,[],[f22,f22374]) ).
fof(f22446,plain,
! [X0] : true = ifeq(theorem(or(sF0,X0)),true,theorem(or(sF16,X0)),true),
inference(forward_demodulation,[],[f22388,f1]) ).
fof(f22575,plain,
true = ifeq(true,true,theorem(or(sF16,or(sF7,sF16))),true),
inference(superposition,[],[f22446,f17570]) ).
fof(f22630,plain,
true = theorem(or(sF16,or(sF7,sF16))),
inference(forward_demodulation,[],[f22575,f1]) ).
fof(f22689,plain,
true = ifeq(true,true,theorem(or(sF7,or(sF16,sF16))),true),
inference(superposition,[],[f201,f22630]) ).
fof(f22732,plain,
true = theorem(or(sF7,or(sF16,sF16))),
inference(forward_demodulation,[],[f22689,f1]) ).
fof(f22753,plain,
true = ifeq(true,true,theorem(or(sF7,sF16)),true),
inference(superposition,[],[f651,f22732]) ).
fof(f22785,plain,
true = theorem(or(sF7,sF16)),
inference(forward_demodulation,[],[f22753,f1]) ).
fof(f22806,plain,
true = ifeq(true,true,theorem(or(sF16,sF7)),true),
inference(superposition,[],[f272,f22785]) ).
fof(f22836,plain,
true = theorem(or(sF16,sF7)),
inference(forward_demodulation,[],[f22806,f1]) ).
fof(f22850,plain,
true = ifeq(true,true,theorem(or(sF16,sF8)),true),
inference(superposition,[],[f1071,f22836]) ).
fof(f22882,plain,
true = theorem(or(sF16,sF8)),
inference(forward_demodulation,[],[f22850,f1]) ).
fof(f22915,plain,
true = ifeq(theorem(or(not(or(sF16,sF8)),sF16)),true,ifeq(true,true,sF17,true),true),
inference(superposition,[],[f80,f22882]) ).
fof(f22919,plain,
true = ifeq(theorem(or(not(or(sF16,sF8)),sF16)),true,sF17,true),
inference(forward_demodulation,[],[f22915,f1]) ).
fof(f22934,plain,
true = ifeq(true,true,sF17,true),
inference(forward_demodulation,[],[f22919,f8064]) ).
fof(f22935,plain,
true = sF17,
inference(forward_demodulation,[],[f22934,f1]) ).
fof(f22936,plain,
$false,
inference(forward_subsumption_resolution,[],[f22935,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL339-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 % Computer : n011.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8046.5625MB
% 0.13/0.43 % OS : Linux 6.8.0-71-generic
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Sun Sep 27 15:35:30 UTC 2026
% 0.13/0.43 % CPUTime :
% 0.13/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 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
% 21.36/8.15 % (2570214)Detected a unit-equality problem, will run specialized UEQ schedule.
% 21.36/8.15 % (2570225)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1741184874:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 21.36/8.15 % (2570227)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2534528595:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 21.36/8.15 % (2570224)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2209502327:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 21.36/8.15 % (2570222)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=1485498029:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 21.36/8.15 % (2570223)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1194818013:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 21.36/8.15 % (2570221)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=1996986973:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 21.36/8.15 % (2570225)Instruction limit reached!
% 21.36/8.15 % (2570225)------------------------------
% 21.36/8.15 % (2570225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570225)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570225)Termination reason: Instruction limit
% 21.36/8.15 % (2570225)Termination phase: Saturation
% 21.36/8.15 % (2570225)Time elapsed: 0.082 s
% 21.36/8.15 % (2570225)Peak memory usage: 89 MB
% 21.36/8.15 % (2570225)Instructions burned: 183 (million)
% 21.36/8.15 % (2570224)Instruction limit reached!
% 21.36/8.15 % (2570224)------------------------------
% 21.36/8.15 % (2570224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570224)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570224)Termination reason: Instruction limit
% 21.36/8.15 % (2570224)Termination phase: Saturation
% 21.36/8.15 % (2570224)Time elapsed: 0.140 s
% 21.36/8.15 % (2570224)Peak memory usage: 89 MB
% 21.36/8.15 % (2570224)Instructions burned: 136 (million)
% 21.36/8.15 % (2570226)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1959138203:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 21.36/8.15 % (2570234)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3986339516:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2996 on theBenchmark for (2996ds/2051Mi)
% 21.36/8.15 % (2570235)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3167824403:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 21.36/8.15 % (2570226)Instruction limit reached!
% 21.36/8.15 % (2570226)------------------------------
% 21.36/8.15 % (2570226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570226)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570226)Termination reason: Instruction limit
% 21.36/8.15 % (2570226)Termination phase: Saturation
% 21.36/8.15 % (2570226)Time elapsed: 0.325 s
% 21.36/8.15 % (2570226)Peak memory usage: 91 MB
% 21.36/8.15 % (2570226)Instructions burned: 257 (million)
% 21.36/8.15 % (2570239)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=623175427:i=215:ep=RSTC_2992 on theBenchmark for (2992ds/215Mi)
% 21.36/8.15 % (2570239)Instruction limit reached!
% 21.36/8.15 % (2570239)------------------------------
% 21.36/8.15 % (2570239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570239)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570239)Termination reason: Instruction limit
% 21.36/8.15 % (2570239)Termination phase: Saturation
% 21.36/8.15 % (2570239)Time elapsed: 0.104 s
% 21.36/8.15 % (2570239)Peak memory usage: 88 MB
% 21.36/8.15 % (2570239)Instructions burned: 218 (million)
% 21.36/8.15 % (2570227)Instruction limit reached!
% 21.36/8.15 % (2570227)------------------------------
% 21.36/8.15 % (2570227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570227)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570227)Termination reason: Instruction limit
% 21.36/8.15 % (2570227)Termination phase: Saturation
% 21.36/8.15 % (2570227)Time elapsed: 1.135 s
% 21.36/8.15 % (2570227)Peak memory usage: 101 MB
% 21.36/8.15 % (2570227)Instructions burned: 1187 (million)
% 21.36/8.15 % (2570242)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=1162608142:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2988 on theBenchmark for (2988ds/317Mi)
% 21.36/8.15 % (2570243)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=2534142021:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2985 on theBenchmark for (2985ds/12125Mi)
% 21.36/8.15 % (2570242)Instruction limit reached!
% 21.36/8.15 % (2570242)------------------------------
% 21.36/8.15 % (2570242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570242)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570242)Termination reason: Instruction limit
% 21.36/8.15 % (2570242)Termination phase: Saturation
% 21.36/8.15 % (2570242)Time elapsed: 0.316 s
% 21.36/8.15 % (2570242)Peak memory usage: 94 MB
% 21.36/8.15 % (2570242)Instructions burned: 318 (million)
% 21.36/8.15 % (2570246)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=993964928:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2982 on theBenchmark for (2982ds/2836Mi)
% 21.36/8.15 % (2570234)Instruction limit reached!
% 21.36/8.15 % (2570234)------------------------------
% 21.36/8.15 % (2570234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570234)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570234)Termination reason: Instruction limit
% 21.36/8.15 % (2570234)Termination phase: Saturation
% 21.36/8.15 % (2570234)Time elapsed: 2.276 s
% 21.36/8.15 % (2570234)Peak memory usage: 143 MB
% 21.36/8.15 % (2570234)Instructions burned: 2052 (million)
% 21.36/8.15 % (2570248)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1906931845:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2972 on theBenchmark for (2972ds/14534Mi)
% 21.36/8.15 % (2570246)Instruction limit reached!
% 21.36/8.15 % (2570246)------------------------------
% 21.36/8.15 % (2570246)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570246)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570246)Termination reason: Instruction limit
% 21.36/8.15 % (2570246)Termination phase: Saturation
% 21.36/8.15 % (2570246)Time elapsed: 2.718 s
% 21.36/8.15 % (2570246)Peak memory usage: 118 MB
% 21.36/8.15 % (2570246)Instructions burned: 2836 (million)
% 21.36/8.15 % (2570252)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=773440920:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2952 on theBenchmark for (2952ds/11832Mi)
% 21.36/8.15 % (2570235)Instruction limit reached!
% 21.36/8.15 % (2570235)------------------------------
% 21.36/8.15 % (2570235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.36/8.15 % (2570235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.36/8.15 % (2570235)CaDiCaL version: 2.1.3
% 21.36/8.15 % (2570235)Termination reason: Instruction limit
% 21.36/8.15 % (2570235)Termination phase: Saturation
% 21.36/8.15 % (2570235)Time elapsed: 5.039 s
% 21.36/8.15 % (2570235)Peak memory usage: 170 MB
% 21.36/8.15 % (2570235)Instructions burned: 4948 (million)
% 21.36/8.15 % (2570254)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=3206461859:i=2279:fgj=on:bd=all_2942 on theBenchmark for (2942ds/2279Mi)
% 21.36/8.15 % (2570243)First to succeed.
% 21.36/8.15 % (2570243)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2570214"
% 21.36/8.15 % (2570243)Refutation found. Thanks to Tanya!
% 21.36/8.15 % SZS status Unsatisfiable for theBenchmark
% 21.36/8.15 % SZS output start Proof for theBenchmark
% See solution above
% 51.30/8.45 % (2570243)------------------------------
% 51.30/8.45 % (2570243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 51.30/8.45 % (2570243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 51.30/8.45 % (2570243)CaDiCaL version: 2.1.3
% 51.30/8.45 % (2570243)Termination reason: Refutation
% 51.30/8.45 % (2570243)Time elapsed: 5.051 s
% 51.30/8.45 % (2570243)Peak memory usage: 170 MB
% 51.30/8.45 % (2570243)Instructions burned: 4983 (million)
% 51.30/8.45 % (2570243)------------------------------
% 51.30/8.45 % (2570243)------------------------------
% 51.30/8.45 % (2570214)Success in time 7.142 s
% 51.30/8.45 % Vampire exiting
%------------------------------------------------------------------------------