%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL349-3 : 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 : n012.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 02:06:23 PM UTC 2026
% Result : Unsatisfiable 57.56s 13.92s
% Output : CNFRefutation 57.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 128 ( 85 unt; 15 def)
% Number of atoms : 352 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 114 ( 61 ~; 53 |; 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 : 133 ( 0 sgn 133 !; 0 ?; 98 :)
% 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(or(p,q),or(p,and(not(p),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(or(p,q)),or(p,not(or(not(not(p)),not(q)))))),not(or(not(or(p,not(or(not(not(p)),not(q))))),or(p,q)))))),
inference(definition_unfolding,[],[f11,f12,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(or(p,q)),or(p,not(or(not(not(p)),not(q)))))),not(or(not(or(p,not(or(not(not(p)),not(q))))),or(p,q)))))),
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 = or(p,q),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_145,definition,
iPr_def_11 = not(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,definition,
iPr_def_12 = not(p),
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(q),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = or(iPr_def_13,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(p,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = or(iPr_def_11,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,iPr_def_10),
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_146,c_147,c_149,c_150,c_151,c_144,c_145,c_152,c_153,c_157,c_158]) ).
tcf(c_316,plain,
! [X0: $i] : theorem(or(iPr_def_12,or(X0,p))),
inference(superposition,[status(thm)],[c_146,c_101]) ).
tcf(c_317,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,q))),
inference(superposition,[status(thm)],[c_148,c_101]) ).
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_351,plain,
theorem(or(not(or(iPr_def_16,p)),iPr_def_17)),
inference(superposition,[status(thm)],[c_151,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_368,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
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_482,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_18)),or(iPr_def_11,or(X0,iPr_def_17)))),
inference(superposition,[status(thm)],[c_152,c_111]) ).
tcf(c_486,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_13,or(X0,iPr_def_14))),or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_149,c_111]) ).
tcf(c_488,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_11,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_602,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_13,X0)),or(not(or(X1,iPr_def_12)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_147,c_116]) ).
tcf(c_603,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_608,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_10),or(p,X0)))),
inference(superposition,[status(thm)],[c_144,c_116]) ).
tcf(c_610,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_16),X0)),or(not(iPr_def_17),or(p,X0)))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_620,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_624,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_16),X0)),or(iPr_def_20,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_610,c_154]) ).
tcf(c_626,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,X0)),or(iPr_def_11,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_608,c_145,c_148]) ).
tcf(c_1752,plain,
! [X0: $i] :
( theorem(or(iPr_def_11,or(X0,iPr_def_17)))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_482,c_66]) ).
tcf(c_1852,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(iPr_def_13,or(X0,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_486,c_66]) ).
tcf(c_1867,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(iPr_def_11,or(X0,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_488,c_66]) ).
tcf(c_2044,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_491]) ).
tcf(c_2048,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_12,p))),
inference(superposition,[status(thm)],[c_316,c_491]) ).
tcf(c_2049,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,q))),
inference(superposition,[status(thm)],[c_317,c_491]) ).
tcf(c_2057,plain,
theorem(or(iPr_def_22,or(iPr_def_24,iPr_def_19))),
inference(superposition,[status(thm)],[c_355,c_491]) ).
tcf(c_2063,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_369,c_491]) ).
tcf(c_2074,plain,
! [X0: $i] : theorem(or(X0,or(not(or(iPr_def_11,or(X0,iPr_def_17))),iPr_def_18))),
inference(superposition,[status(thm)],[c_488,c_491]) ).
tcf(c_2266,plain,
theorem(or(iPr_def_12,p)),
inference(superposition,[status(thm)],[c_2048,c_368]) ).
tcf(c_2279,plain,
theorem(or(p,iPr_def_12)),
inference(superposition,[status(thm)],[c_2266,c_370]) ).
tcf(c_2290,plain,
theorem(or(iPr_def_14,q)),
inference(superposition,[status(thm)],[c_2049,c_368]) ).
tcf(c_2303,plain,
theorem(or(q,iPr_def_14)),
inference(superposition,[status(thm)],[c_2290,c_370]) ).
tcf(c_2386,plain,
theorem(or(not(or(iPr_def_14,iPr_def_16)),or(iPr_def_11,iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_626]) ).
tcf(c_2390,plain,
theorem(or(not(or(iPr_def_14,iPr_def_16)),iPr_def_18)),
inference(light_normalisation,[status(thm)],[c_2386,c_152]) ).
tcf(c_2730,plain,
( theorem(or(iPr_def_24,iPr_def_19))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2057,c_381]) ).
tcf(c_2829,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_369,c_1852]) ).
tcf(c_2923,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,iPr_def_12)),or(not(or(iPr_def_13,X1)),or(X0,X1)))),
inference(superposition,[status(thm)],[c_602,c_491]) ).
tcf(c_2936,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_369,c_1867]) ).
tcf(c_3038,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_2044,c_368]) ).
tcf(c_3068,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_3038,c_370]) ).
tcf(c_3069,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_3038,c_491]) ).
tcf(c_3142,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_603,c_66]) ).
tcf(c_3271,plain,
( theorem(or(iPr_def_19,iPr_def_24))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2730,c_370]) ).
tcf(c_3569,plain,
theorem(or(not(or(not(iPr_def_16),q)),or(iPr_def_20,iPr_def_10))),
inference(superposition,[status(thm)],[c_144,c_624]) ).
tcf(c_3574,plain,
theorem(or(not(or(not(iPr_def_16),q)),iPr_def_21)),
inference(light_normalisation,[status(thm)],[c_3569,c_155]) ).
tcf(c_3692,plain,
( theorem(iPr_def_24)
| ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_3271,c_379]) ).
tcf(c_3693,plain,
( ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3692,c_159]) ).
tcf(c_3754,plain,
( theorem(iPr_def_21)
| ~ theorem(or(not(iPr_def_16),q)) ),
inference(superposition,[status(thm)],[c_3574,c_66]) ).
tcf(c_5560,plain,
theorem(or(q,iPr_def_15)),
inference(superposition,[status(thm)],[c_2303,c_2829]) ).
tcf(c_5814,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_620,c_66]) ).
tcf(c_8695,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(superposition,[status(thm)],[c_3069,c_370]) ).
tcf(c_9659,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_2063,c_368]) ).
tcf(c_12811,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_11,or(not(X0),iPr_def_17))),iPr_def_18))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2074,c_66]) ).
tcf(c_17273,plain,
! [X0: $i] :
( theorem(iPr_def_18)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_11,or(not(X0),iPr_def_17))) ),
inference(superposition,[status(thm)],[c_12811,c_66]) ).
tcf(c_20520,plain,
! [X0: $i] :
( theorem(iPr_def_18)
| ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_1752,c_17273]) ).
tcf(c_21765,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_16,X1))
| ~ theorem(or(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_3142,c_66]) ).
tcf(c_22917,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(iPr_def_13,X1)),or(X0,X1)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_2923,c_66]) ).
tcf(c_25051,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_5560,c_21765]) ).
tcf(c_27528,plain,
! [X0: $i] :
( theorem(or(not(iPr_def_15),or(X0,iPr_def_14)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_149,c_22917]) ).
tcf(c_27548,plain,
! [X0: $i] :
( theorem(or(iPr_def_16,or(X0,iPr_def_14)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_27528,c_150]) ).
tcf(c_27916,plain,
! [X0: $i] :
( theorem(or(X0,or(iPr_def_16,iPr_def_14)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_27548,c_491]) ).
tcf(c_27928,plain,
( theorem(or(p,or(iPr_def_16,iPr_def_14)))
| ~ theorem(or(p,iPr_def_12)) ),
inference(instantiation,[status(thm)],[c_27916]) ).
tcf(c_29615,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,or(iPr_def_16,p))) ),
inference(superposition,[status(thm)],[c_351,c_5814]) ).
tcf(c_29697,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,or(iPr_def_14,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_2390,c_5814]) ).
tcf(c_37529,plain,
theorem(or(q,not(iPr_def_16))),
inference(superposition,[status(thm)],[c_3068,c_25051]) ).
tcf(c_37752,plain,
theorem(or(not(iPr_def_16),q)),
inference(superposition,[status(thm)],[c_37529,c_370]) ).
tcf(c_37756,plain,
theorem(iPr_def_21),
inference(backward_subsumption_resolution,[status(thm)],[c_3754,c_37752]) ).
tcf(c_103695,plain,
! [X0: $i] :
( ~ theorem(or(not(X0),iPr_def_18))
| ~ theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_20520,c_3693,c_20520,c_37756]) ).
tcf(c_103696,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(renaming,[status(thm)],[c_103695]) ).
tcf(c_134784,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_2063,c_29615]) ).
tcf(c_138684,plain,
! [X0: $i] : theorem(or(or(not(or(p,X0)),X0),iPr_def_17)),
inference(superposition,[status(thm)],[c_8695,c_134784]) ).
tcf(c_143316,plain,
! [X0: $i] : theorem(or(or(not(or(p,X0)),X0),iPr_def_18)),
inference(superposition,[status(thm)],[c_138684,c_2936]) ).
tcf(c_147333,plain,
theorem(or(not(or(p,iPr_def_18)),iPr_def_18)),
inference(superposition,[status(thm)],[c_143316,c_9659]) ).
tcf(c_147343,plain,
~ theorem(or(p,iPr_def_18)),
inference(superposition,[status(thm)],[c_147333,c_103696]) ).
tcf(c_198563,plain,
theorem(or(not(or(iPr_def_16,iPr_def_14)),iPr_def_18)),
inference(superposition,[status(thm)],[c_106,c_29697]) ).
tcf(c_199314,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,or(iPr_def_16,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_198563,c_5814]) ).
tcf(c_199333,plain,
( theorem(or(p,iPr_def_18))
| ~ theorem(or(p,or(iPr_def_16,iPr_def_14))) ),
inference(instantiation,[status(thm)],[c_199314]) ).
tcf(c_199334,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_199333,c_147343,c_27928,c_2279]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL349-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/5.54 % Computer : n012.cluster.edu
% 0.07/5.54 % Model : x86_64 x86_64
% 0.07/5.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/5.54 % Memory : 8046.5625MB
% 0.07/5.54 % OS : Linux 6.8.0-71-generic
% 0.07/5.54 % CPULimit : 300
% 0.07/5.54 % WCLimit : 300
% 0.07/5.54 % DateTime : Wed Sep 23 22:56:08 UTC 2026
% 0.07/5.54 % CPUTime :
% 0.07/5.54 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/5.56 Running first-order theorem proving
% 0.07/5.56 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
% 0.07/5.57
% 0.07/5.57 % ======== iProver multi-core TPTP/SMT =========
% 0.07/5.57
% 0.07/5.57 % Detected problem language: tptp
% 0.07/5.57 % Proving...
% 57.56/13.92 % SZS status Started for theBenchmark.p
% 57.56/13.92 % SZS status Unsatisfiable for theBenchmark.p
% 57.56/13.92
% 57.56/13.92 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 57.56/13.92
% 57.56/13.92 % ------ iProver source info
% 57.56/13.92
% 57.56/13.92 % git: date: 2026-07-19 20:42:38 +0200
% 57.56/13.92 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 57.56/13.92 % git: non_committed_changes: false
% 57.56/13.92
% 57.56/13.92 % ------ Parsing...% successful
% 57.56/13.92
% 57.56/13.92
% 57.56/13.92 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 57.56/13.92
% 57.56/13.92 % ------ 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 %
% 57.56/13.92
% 57.56/13.92 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 57.56/13.92
% 57.56/13.92 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.56/13.92 % ------ Proving...
% 57.56/13.92 % ------ Problem Properties
% 57.56/13.92
% 57.56/13.92 %
% 57.56/13.92 % clauses 22
% 57.56/13.92 % conjectures 1
% 57.56/13.92 % EPR 1
% 57.56/13.92 % Horn 22
% 57.56/13.92 % unary 21
% 57.56/13.92 % binary 0
% 57.56/13.92 % lits 24
% 57.56/13.92 % lits eq 15
% 57.56/13.92 % fd_pure 0
% 57.56/13.92 % fd_pseudo 0
% 57.56/13.92 % fd_cond 0
% 57.56/13.92 % fd_pseudo_cond 0
% 57.56/13.92 % AC symbols 0
% 57.56/13.92
% 57.56/13.92 % ------ Schedule dynamic 5 is on
% 57.56/13.92
% 57.56/13.92 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 57.56/13.92
% 57.56/13.92
% 57.56/13.92 % ------
% 57.56/13.92 % Current options:
% 57.56/13.92 % ------
% 57.56/13.92
% 57.56/13.92
% 57.56/13.92 %
% 57.56/13.92
% 57.56/13.92 % ------ Proving...
% 57.56/13.92 %
% 57.56/13.92
% 57.56/13.92 % SZS status Unsatisfiable for theBenchmark.p
% 57.56/13.92
% 57.56/13.92 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.56/13.92
% 57.56/13.92
%------------------------------------------------------------------------------