%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL283-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 : Fri Sep 25 02:06:15 PM UTC 2026
% Result : Unsatisfiable 231.41s 47.56s
% Output : CNFRefutation 231.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 26
% Syntax : Number of formulae : 136 ( 87 unt; 15 def)
% Number of atoms : 431 ( 19 equ)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 131 ( 68 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 134 !; 0 ?; 99 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(p,or(and(p,q),and(p,not(q))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q))))))),not(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p))))),
inference(definition_unfolding,[],[f11,f12,f9,f9]) ).
tcf(c_60,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f13]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f15]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_65,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_67,negated_conjecture,
~ theorem(not(or(not(or(not(p),or(not(or(not(p),not(q))),not(or(not(p),not(not(q))))))),not(or(not(or(not(or(not(p),not(q))),not(or(not(p),not(not(q)))))),p))))),
inference(cnf_transformation,[],[f19]) ).
tcf(c_96,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[status(thm)],[c_65,c_60]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_65,c_61]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_65,c_62]) ).
tcf(c_111,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[c_65,c_63]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(resolution,[status(thm)],[c_65,c_64]) ).
tcf(c_144,definition,
iPr_def_10 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_145,definition,
iPr_def_11 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,definition,
iPr_def_12 = or(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_147,definition,
iPr_def_13 = not(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = not(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = or(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_150,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_151,definition,
iPr_def_17 = or(iPr_def_13,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = or(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_153,definition,
iPr_def_19 = not(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_154,definition,
iPr_def_20 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_155,definition,
iPr_def_21 = or(iPr_def_20,p),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,definition,
iPr_def_22 = not(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_157,definition,
iPr_def_23 = or(iPr_def_19,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_158,definition,
iPr_def_24 = not(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_159,negated_conjecture,
~ theorem(iPr_def_24),
inference(demodulation,[status(thm)],[c_67,c_154,c_155,c_156,c_148,c_149,c_150,c_145,c_146,c_147,c_151,c_144,c_152,c_153,c_157,c_158]) ).
tcf(c_348,plain,
theorem(or(not(iPr_def_23),or(iPr_def_22,iPr_def_19))),
inference(superposition,[status(thm)],[c_157,c_106]) ).
tcf(c_355,plain,
theorem(or(iPr_def_24,or(iPr_def_22,iPr_def_19))),
inference(light_normalisation,[status(thm)],[c_348,c_158]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_379,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_153,c_66]) ).
tcf(c_381,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_21)
| ~ theorem(or(iPr_def_22,X0)) ),
inference(superposition,[status(thm)],[c_156,c_66]) ).
tcf(c_488,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_17))),or(X0,iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_111]) ).
tcf(c_491,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_618,plain,
! [X0: $i] : theorem(or(not(or(not(X0),p)),or(not(or(iPr_def_20,X0)),iPr_def_21))),
inference(superposition,[status(thm)],[c_155,c_116]) ).
tcf(c_2111,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(superposition,[status(thm)],[c_96,c_491]) ).
tcf(c_2125,plain,
theorem(or(iPr_def_22,or(iPr_def_24,iPr_def_19))),
inference(superposition,[status(thm)],[c_355,c_491]) ).
tcf(c_2142,plain,
! [X0: $i] : theorem(or(X0,or(not(or(iPr_def_10,or(X0,iPr_def_17))),iPr_def_18))),
inference(superposition,[status(thm)],[c_488,c_491]) ).
tcf(c_2762,plain,
( theorem(or(iPr_def_24,iPr_def_19))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2125,c_381]) ).
tcf(c_3374,plain,
( theorem(or(iPr_def_19,iPr_def_24))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2762,c_370]) ).
tcf(c_3928,plain,
( theorem(iPr_def_24)
| ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_3374,c_379]) ).
tcf(c_3929,plain,
( ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3928,c_159]) ).
tcf(c_5072,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_20,X0)),iPr_def_21))
| ~ theorem(or(not(X0),p)) ),
inference(superposition,[status(thm)],[c_618,c_66]) ).
tcf(c_10082,plain,
theorem(or(iPr_def_10,or(not(or(iPr_def_18,iPr_def_18)),iPr_def_17))),
inference(superposition,[status(thm)],[c_152,c_2111]) ).
tcf(c_14471,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_10,or(not(X0),iPr_def_17))),iPr_def_18))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2142,c_66]) ).
tcf(c_14799,plain,
! [X0: $i] :
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_20,X0))
| ~ theorem(or(not(X0),p)) ),
inference(superposition,[status(thm)],[c_5072,c_66]) ).
tcf(c_16129,plain,
! [X0: $i] :
( theorem(iPr_def_18)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_10,or(not(X0),iPr_def_17))) ),
inference(superposition,[status(thm)],[c_14471,c_66]) ).
tcf(c_17593,plain,
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_20,or(p,p))) ),
inference(superposition,[status(thm)],[c_96,c_14799]) ).
tcf(c_22154,plain,
( theorem(iPr_def_18)
| ~ theorem(or(iPr_def_18,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_10082,c_16129]) ).
tcf(c_395370,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_395374,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_144,c_101]) ).
tcf(c_395388,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_395395,plain,
theorem(or(not(iPr_def_15),or(iPr_def_14,iPr_def_10))),
inference(superposition,[status(thm)],[c_149,c_106]) ).
tcf(c_395396,plain,
theorem(or(not(iPr_def_17),or(iPr_def_16,iPr_def_13))),
inference(superposition,[status(thm)],[c_151,c_106]) ).
tcf(c_395402,plain,
theorem(or(not(or(iPr_def_16,iPr_def_13)),iPr_def_17)),
inference(superposition,[status(thm)],[c_151,c_106]) ).
tcf(c_395406,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_395410,plain,
theorem(or(iPr_def_20,or(iPr_def_16,iPr_def_13))),
inference(light_normalisation,[status(thm)],[c_395396,c_154]) ).
tcf(c_395411,plain,
theorem(or(iPr_def_16,or(iPr_def_14,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_395395,c_150]) ).
tcf(c_395422,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_18)),or(iPr_def_10,or(X0,iPr_def_17)))),
inference(superposition,[status(thm)],[c_152,c_111]) ).
tcf(c_395423,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_21)),or(iPr_def_20,or(X0,p)))),
inference(superposition,[status(thm)],[c_155,c_111]) ).
tcf(c_395425,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_11))),or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_146,c_111]) ).
tcf(c_395426,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_14))),or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_149,c_111]) ).
tcf(c_395427,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_13,or(X0,iPr_def_16))),or(X0,iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_111]) ).
tcf(c_395431,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_395447,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_14,X0)),or(not(or(X1,iPr_def_11)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_148,c_116]) ).
tcf(c_395448,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_16,X0)),or(not(or(X1,iPr_def_15)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_150,c_116]) ).
tcf(c_395462,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_17)),or(not(or(iPr_def_10,X0)),iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_395463,plain,
! [X0: $i] : theorem(or(not(or(not(X0),p)),or(not(or(iPr_def_20,X0)),iPr_def_21))),
inference(superposition,[status(thm)],[c_155,c_116]) ).
tcf(c_395465,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_116,c_66]) ).
tcf(c_395737,plain,
theorem(or(or(iPr_def_14,iPr_def_10),iPr_def_16)),
inference(superposition,[status(thm)],[c_395411,c_395406]) ).
tcf(c_395901,plain,
! [X0: $i] :
( theorem(or(iPr_def_10,or(X0,iPr_def_17)))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_395422,c_66]) ).
tcf(c_395938,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_12))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_395425,c_66]) ).
tcf(c_395943,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_395426,c_66]) ).
tcf(c_395951,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(iPr_def_13,or(X0,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_395427,c_66]) ).
tcf(c_395978,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_395431]) ).
tcf(c_395994,plain,
theorem(or(iPr_def_16,or(iPr_def_20,iPr_def_13))),
inference(superposition,[status(thm)],[c_395410,c_395431]) ).
tcf(c_396171,plain,
theorem(or(not(or(iPr_def_14,iPr_def_17)),or(not(or(iPr_def_10,iPr_def_11)),iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_395447]) ).
tcf(c_396178,plain,
theorem(or(not(or(iPr_def_14,iPr_def_17)),or(iPr_def_13,iPr_def_18))),
inference(light_normalisation,[status(thm)],[c_396171,c_146,c_147]) ).
tcf(c_396191,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_15)),or(X1,X0)))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_395448,c_66]) ).
tcf(c_396427,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_10,X0)),iPr_def_18))
| ~ theorem(or(not(X0),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_395462,c_66]) ).
tcf(c_396466,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_20,X0)),iPr_def_21))
| ~ theorem(or(not(X0),p)) ),
inference(superposition,[status(thm)],[c_395463,c_66]) ).
tcf(c_396537,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(or(X2,X0))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_395465,c_66]) ).
tcf(c_396979,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_395388,c_395951]) ).
tcf(c_398273,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_106,c_396537]) ).
tcf(c_398281,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,or(iPr_def_16,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_395402,c_396537]) ).
tcf(c_398291,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,or(iPr_def_20,or(X1,p))))
| ~ theorem(or(X0,or(X1,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_395423,c_396537]) ).
tcf(c_398350,plain,
! [X0: $i] :
( theorem(or(X0,or(iPr_def_13,iPr_def_18)))
| ~ theorem(or(X0,or(iPr_def_14,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_396178,c_396537]) ).
tcf(c_398396,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(not(X1),iPr_def_17))
| ~ theorem(or(X0,or(iPr_def_10,X1))) ),
inference(superposition,[status(thm)],[c_396427,c_396537]) ).
tcf(c_398397,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(not(X1),p))
| ~ theorem(or(X0,or(iPr_def_20,X1))) ),
inference(superposition,[status(thm)],[c_396466,c_396537]) ).
tcf(c_399137,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_395978,c_395370]) ).
tcf(c_399186,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_399137,c_395406]) ).
tcf(c_399256,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_399186,c_396537]) ).
tcf(c_411765,plain,
theorem(or(or(iPr_def_14,iPr_def_10),iPr_def_17)),
inference(superposition,[status(thm)],[c_395737,c_396979]) ).
tcf(c_412421,plain,
theorem(or(iPr_def_17,or(iPr_def_14,iPr_def_10))),
inference(superposition,[status(thm)],[c_411765,c_395406]) ).
tcf(c_413198,plain,
theorem(or(iPr_def_14,or(iPr_def_17,iPr_def_10))),
inference(superposition,[status(thm)],[c_412421,c_395431]) ).
tcf(c_417448,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(p,X0))),
inference(superposition,[status(thm)],[c_395374,c_398273]) ).
tcf(c_417746,plain,
theorem(or(iPr_def_14,or(iPr_def_10,iPr_def_17))),
inference(superposition,[status(thm)],[c_413198,c_398273]) ).
tcf(c_417803,plain,
theorem(or(iPr_def_14,iPr_def_18)),
inference(light_normalisation,[status(thm)],[c_417746,c_152]) ).
tcf(c_419594,plain,
theorem(or(p,iPr_def_12)),
inference(superposition,[status(thm)],[c_417448,c_395938]) ).
tcf(c_419595,plain,
theorem(or(p,iPr_def_15)),
inference(superposition,[status(thm)],[c_417448,c_395943]) ).
tcf(c_455282,plain,
theorem(or(not(iPr_def_13),iPr_def_17)),
inference(superposition,[status(thm)],[c_101,c_398281]) ).
tcf(c_464092,plain,
! [X0: $i,X1: $i] :
( theorem(or(iPr_def_20,or(X1,p)))
| ~ theorem(X0)
| ~ theorem(or(not(X0),or(X1,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_398291,c_66]) ).
tcf(c_464354,plain,
! [X0: $i] :
( theorem(or(iPr_def_20,or(X0,p)))
| ~ theorem(or(iPr_def_16,iPr_def_21))
| ~ theorem(or(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_396191,c_464092]) ).
tcf(c_464640,plain,
( theorem(or(iPr_def_20,or(p,p)))
| ~ theorem(or(iPr_def_16,iPr_def_21))
| ~ theorem(or(p,iPr_def_15)) ),
inference(instantiation,[status(thm)],[c_464354]) ).
tcf(c_507538,plain,
( theorem(or(iPr_def_10,or(iPr_def_13,iPr_def_18)))
| ~ theorem(or(iPr_def_14,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_395901,c_398350]) ).
tcf(c_507659,plain,
theorem(or(iPr_def_10,or(iPr_def_13,iPr_def_18))),
inference(forward_subsumption_resolution,[status(thm)],[c_507538,c_417803]) ).
tcf(c_513423,plain,
theorem(or(iPr_def_10,or(iPr_def_18,iPr_def_13))),
inference(superposition,[status(thm)],[c_507659,c_398273]) ).
tcf(c_521245,plain,
( theorem(or(iPr_def_16,iPr_def_21))
| ~ theorem(or(not(iPr_def_13),p)) ),
inference(superposition,[status(thm)],[c_395994,c_398397]) ).
tcf(c_538068,plain,
theorem(or(iPr_def_18,or(iPr_def_10,iPr_def_13))),
inference(superposition,[status(thm)],[c_513423,c_395431]) ).
tcf(c_550209,plain,
( theorem(or(iPr_def_18,iPr_def_18))
| ~ theorem(or(not(iPr_def_13),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_538068,c_398396]) ).
tcf(c_550212,plain,
theorem(or(iPr_def_18,iPr_def_18)),
inference(forward_subsumption_resolution,[status(thm)],[c_550209,c_455282]) ).
tcf(c_550622,plain,
! [X0: $i] :
( theorem(or(X0,not(iPr_def_13)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_147,c_399256]) ).
tcf(c_550717,plain,
! [X0: $i] :
( theorem(or(not(iPr_def_13),X0))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_550622,c_395406]) ).
tcf(c_550729,plain,
( theorem(or(not(iPr_def_13),p))
| ~ theorem(or(p,iPr_def_12)) ),
inference(instantiation,[status(thm)],[c_550717]) ).
tcf(c_550730,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_550729,c_550212,c_521245,c_464640,c_419594,c_419595,c_22154,c_17593,c_3929]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL283-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.41 % Computer : n001.cluster.edu
% 0.14/10.41 % Model : x86_64 x86_64
% 0.14/10.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.41 % Memory : 8046.5625MB
% 0.14/10.41 % OS : Linux 6.8.0-71-generic
% 0.14/10.41 % CPULimit : 300
% 0.14/10.41 % WCLimit : 300
% 0.14/10.41 % DateTime : Wed Sep 23 22:49:18 UTC 2026
% 0.14/10.41 % CPUTime :
% 0.14/10.41 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/10.45 Running first-order theorem proving
% 0.14/10.45 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.46
% 0.14/10.46 % ======== iProver multi-core TPTP/SMT =========
% 0.14/10.46
% 0.14/10.46 % Detected problem language: tptp
% 0.14/10.48 % Proving...
% 231.41/47.56 % SZS status Started for theBenchmark.p
% 231.41/47.56 % SZS status Unsatisfiable for theBenchmark.p
% 231.41/47.56
% 231.41/47.56 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 231.41/47.56
% 231.41/47.56 % ------ iProver source info
% 231.41/47.56
% 231.41/47.56 % git: date: 2026-07-19 20:42:38 +0200
% 231.41/47.56 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 231.41/47.56 % git: non_committed_changes: false
% 231.41/47.56
% 231.41/47.56 % ------ Parsing...% successful
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 231.41/47.56
% 231.41/47.56 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe_e sf_s rm: 0 0s sf_e pe_s pe_e %
% 231.41/47.56
% 231.41/47.56 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 231.41/47.56
% 231.41/47.56 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 231.41/47.56 % ------ Proving...
% 231.41/47.56 % ------ Problem Properties
% 231.41/47.56
% 231.41/47.56 %
% 231.41/47.56 % clauses 22
% 231.41/47.56 % conjectures 1
% 231.41/47.56 % EPR 1
% 231.41/47.56 % Horn 22
% 231.41/47.56 % unary 21
% 231.41/47.56 % binary 0
% 231.41/47.56 % lits 24
% 231.41/47.56 % lits eq 15
% 231.41/47.56 % fd_pure 0
% 231.41/47.56 % fd_pseudo 0
% 231.41/47.56 % fd_cond 0
% 231.41/47.56 % fd_pseudo_cond 0
% 231.41/47.56 % AC symbols 0
% 231.41/47.56
% 231.41/47.56 % ------ Schedule dynamic 5 is on
% 231.41/47.56
% 231.41/47.56 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 % ------
% 231.41/47.56 % Current options:
% 231.41/47.56 % ------
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 %
% 231.41/47.56
% 231.41/47.56 % ------ Proving...
% 231.41/47.56 % Proof_search_loop: time out after: 7610 full_loop iterations
% 231.41/47.56
% 231.41/47.56 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 % ------
% 231.41/47.56 % Current options:
% 231.41/47.56 % ------
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 %
% 231.41/47.56
% 231.41/47.56 % ------ Proving...
% 231.41/47.56 % Proof_search_loop: time out after: 11196 full_loop iterations
% 231.41/47.56
% 231.41/47.56 % ------ Option_1: Negative Selections Time Limit: 35.
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 % ------
% 231.41/47.56 % Current options:
% 231.41/47.56 % ------
% 231.41/47.56
% 231.41/47.56
% 231.41/47.56 %
% 231.41/47.56
% 231.41/47.56 % ------ Proving...
% 231.41/47.56 %
% 231.41/47.56
% 231.41/47.56 % SZS status Unsatisfiable for theBenchmark.p
% 231.41/47.56
% 231.41/47.56 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 231.41/47.56
% 231.41/47.56
%------------------------------------------------------------------------------