%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL247-3 : 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 : n009.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 02:06:10 PM UTC 2026
% Result : Unsatisfiable 206.15s 34.07s
% Output : CNFRefutation 206.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 81 unt; 14 def)
% Number of atoms : 394 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 145 ( 78 ~; 67 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 170 ( 0 sgn 170 !; 0 ?; 139 :)
% 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,negated_conjecture,
~ theorem(implies(implies(and(p,q),r),implies(and(p,not(r)),not(q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f15,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(f16,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f17,plain,
~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(not(r))))),not(q)))),
inference(definition_unfolding,[],[f10,f6,f6,f9,f6,f9]) ).
tcf(c_59,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_63,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,[],[f15]) ).
tcf(c_64,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_66,negated_conjecture,
~ theorem(or(not(or(not(not(or(not(p),not(q)))),r)),or(not(not(or(not(p),not(not(r))))),not(q)))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_95,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[status(thm)],[c_64,c_59]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_64,c_60]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_64,c_61]) ).
tcf(c_110,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_64,c_62]) ).
tcf(c_115,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_64,c_63]) ).
tcf(c_143,definition,
iPr_def_10 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_144,definition,
iPr_def_11 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_145,definition,
iPr_def_12 = or(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_146,definition,
iPr_def_13 = not(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_147,definition,
iPr_def_14 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_148,definition,
iPr_def_15 = or(iPr_def_14,r),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_149,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_150,definition,
iPr_def_17 = not(r),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_151,definition,
iPr_def_18 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_152,definition,
iPr_def_19 = or(iPr_def_10,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_153,definition,
iPr_def_20 = not(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_154,definition,
iPr_def_21 = not(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_155,definition,
iPr_def_22 = or(iPr_def_21,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_156,definition,
iPr_def_23 = or(iPr_def_16,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_157,negated_conjecture,
~ theorem(iPr_def_23),
inference(demodulation,[status(thm)],[c_66,c_150,c_151,c_152,c_153,c_154,c_155,c_144,c_143,c_145,c_146,c_147,c_148,c_149,c_156]) ).
tcf(c_460,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_569,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_10,X0)),or(not(or(X1,p)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_143,c_115]) ).
tcf(c_570,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_146,c_115]) ).
tcf(c_586,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_115,c_65]) ).
tcf(c_2524,plain,
theorem(or(not(or(iPr_def_10,iPr_def_11)),or(not(or(iPr_def_21,p)),iPr_def_22))),
inference(superposition,[status(thm)],[c_155,c_569]) ).
tcf(c_2531,plain,
theorem(or(iPr_def_13,or(not(or(iPr_def_21,p)),iPr_def_22))),
inference(light_normalisation,[status(thm)],[c_2524,c_145,c_146]) ).
tcf(c_2542,plain,
theorem(or(not(or(iPr_def_21,p)),or(iPr_def_13,iPr_def_22))),
inference(superposition,[status(thm)],[c_2531,c_460]) ).
tcf(c_2631,plain,
theorem(or(not(or(iPr_def_13,iPr_def_22)),or(not(or(iPr_def_16,iPr_def_12)),iPr_def_23))),
inference(superposition,[status(thm)],[c_156,c_570]) ).
tcf(c_4608,plain,
( theorem(or(not(or(iPr_def_16,iPr_def_12)),iPr_def_23))
| ~ theorem(or(iPr_def_13,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_2631,c_65]) ).
tcf(c_5717,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_586,c_65]) ).
tcf(c_6014,plain,
( theorem(or(iPr_def_13,iPr_def_22))
| ~ theorem(or(iPr_def_21,p)) ),
inference(superposition,[status(thm)],[c_2542,c_65]) ).
tcf(c_20514,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_23))
| ~ theorem(or(iPr_def_13,iPr_def_22))
| ~ theorem(or(X0,or(iPr_def_16,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_4608,c_5717]) ).
tcf(c_144063,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_144065,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_144114,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_23)),or(iPr_def_16,or(X0,iPr_def_22)))),
inference(superposition,[status(thm)],[c_156,c_110]) ).
tcf(c_144120,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_144201,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_22)),or(not(or(iPr_def_16,X0)),iPr_def_23))),
inference(superposition,[status(thm)],[c_156,c_115]) ).
tcf(c_144202,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_115,c_65]) ).
tcf(c_144811,plain,
! [X0: $i] :
( theorem(or(iPr_def_16,or(X0,iPr_def_22)))
| ~ theorem(or(X0,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_144114,c_65]) ).
tcf(c_145066,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_144120]) ).
tcf(c_145067,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_105,c_144120]) ).
tcf(c_145069,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(superposition,[status(thm)],[c_115,c_144120]) ).
tcf(c_145778,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_145066,c_144063]) ).
tcf(c_145804,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_145778,c_144120]) ).
tcf(c_146537,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_145067,c_65]) ).
tcf(c_146672,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(not(or(or(X1,X2),not(X0))),X2)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_146537,c_144120]) ).
tcf(c_148552,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_16,X0)),iPr_def_23))
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_144201,c_65]) ).
tcf(c_148676,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(X2,X1),not(or(X2,X0))))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_144202,c_144065]) ).
tcf(c_148947,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_145804,c_65]) ).
tcf(c_155786,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(not(X1),X2)),or(X0,X2)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_145069,c_65]) ).
tcf(c_156835,plain,
! [X0: $i] :
( theorem(iPr_def_23)
| ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_148552,c_65]) ).
tcf(c_156839,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_156835,c_157]) ).
tcf(c_156867,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_16,or(not(X0),iPr_def_22))) ),
inference(superposition,[status(thm)],[c_148947,c_156839]) ).
tcf(c_158648,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_23)) ),
inference(superposition,[status(thm)],[c_144811,c_156867]) ).
tcf(c_165218,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(iPr_def_14,X1)),or(X0,X1)))
| ~ theorem(or(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_147,c_155786]) ).
tcf(c_185327,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(or(not(X1),X2),not(X0))),X2))
| ~ theorem(X1)
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_146672,c_65]) ).
tcf(c_196785,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_23),not(X1))) ),
inference(superposition,[status(thm)],[c_185327,c_158648]) ).
tcf(c_210652,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),iPr_def_23))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_148676,c_196785]) ).
tcf(c_215702,plain,
! [X0: $i,X1: $i] :
( ~ theorem(or(iPr_def_14,X1))
| ~ theorem(or(X0,iPr_def_13))
| ~ theorem(or(not(or(X0,X1)),iPr_def_23)) ),
inference(superposition,[status(thm)],[c_165218,c_210652]) ).
tcf(c_286888,plain,
( ~ theorem(or(iPr_def_23,iPr_def_13))
| ~ theorem(or(iPr_def_14,iPr_def_23)) ),
inference(superposition,[status(thm)],[c_95,c_215702]) ).
tcf(c_377791,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_377796,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_143,c_100]) ).
tcf(c_377797,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_146,c_100]) ).
tcf(c_377800,plain,
! [X0: $i] : theorem(or(iPr_def_18,or(X0,iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_100]) ).
tcf(c_377802,plain,
! [X0: $i] : theorem(or(iPr_def_21,or(X0,iPr_def_20))),
inference(superposition,[status(thm)],[c_154,c_100]) ).
tcf(c_377822,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_377835,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_377836,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_21,or(X0,iPr_def_11))),or(X0,iPr_def_22))),
inference(superposition,[status(thm)],[c_155,c_110]) ).
tcf(c_377838,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_377852,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_146,c_115]) ).
tcf(c_377859,plain,
! [X0: $i] : theorem(or(not(or(not(r),X0)),or(not(iPr_def_15),or(iPr_def_14,X0)))),
inference(superposition,[status(thm)],[c_148,c_115]) ).
tcf(c_377867,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_22)),or(not(or(iPr_def_16,X0)),iPr_def_23))),
inference(superposition,[status(thm)],[c_156,c_115]) ).
tcf(c_377868,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_115,c_65]) ).
tcf(c_377870,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_17,X0)),or(iPr_def_16,or(iPr_def_14,X0)))),
inference(light_normalisation,[status(thm)],[c_377859,c_149,c_150]) ).
tcf(c_378199,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_377835,c_65]) ).
tcf(c_378256,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_21,or(X0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_377836,c_65]) ).
tcf(c_378278,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_377838]) ).
tcf(c_378288,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_18,iPr_def_17))),
inference(superposition,[status(thm)],[c_377800,c_377838]) ).
tcf(c_378431,plain,
theorem(or(not(or(iPr_def_13,iPr_def_22)),or(not(or(iPr_def_16,iPr_def_12)),iPr_def_23))),
inference(superposition,[status(thm)],[c_156,c_377852]) ).
tcf(c_378730,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_16,X0)),iPr_def_23))
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_377867,c_65]) ).
tcf(c_378762,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_377868,c_65]) ).
tcf(c_379551,plain,
( theorem(or(not(or(iPr_def_16,iPr_def_12)),iPr_def_23))
| ~ theorem(or(iPr_def_13,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_378431,c_65]) ).
tcf(c_380176,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_105,c_378762]) ).
tcf(c_380220,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,or(iPr_def_16,or(iPr_def_14,X1))))
| ~ theorem(or(X0,or(iPr_def_17,X1))) ),
inference(superposition,[status(thm)],[c_377870,c_378762]) ).
tcf(c_380299,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_23))
| ~ theorem(or(not(X1),iPr_def_22))
| ~ theorem(or(X0,or(iPr_def_16,X1))) ),
inference(superposition,[status(thm)],[c_378730,c_378762]) ).
tcf(c_380895,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_378278,c_377791]) ).
tcf(c_380921,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_380895,c_377822]) ).
tcf(c_380957,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_380921,c_378762]) ).
tcf(c_381356,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_23))
| ~ theorem(or(iPr_def_13,iPr_def_22))
| ~ theorem(or(X0,or(iPr_def_16,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_379551,c_378762]) ).
tcf(c_393610,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(p,X0))),
inference(superposition,[status(thm)],[c_377796,c_380176]) ).
tcf(c_393616,plain,
! [X0: $i] : theorem(or(iPr_def_21,or(iPr_def_20,X0))),
inference(superposition,[status(thm)],[c_377802,c_380176]) ).
tcf(c_393675,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_17,iPr_def_18))),
inference(superposition,[status(thm)],[c_378288,c_380176]) ).
tcf(c_395612,plain,
theorem(or(p,iPr_def_19)),
inference(superposition,[status(thm)],[c_393610,c_378199]) ).
tcf(c_403135,plain,
theorem(or(iPr_def_20,iPr_def_22)),
inference(superposition,[status(thm)],[c_393616,c_378256]) ).
tcf(c_454998,plain,
! [X0: $i,X1: $i] :
( theorem(or(iPr_def_16,or(iPr_def_14,X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X0),or(iPr_def_17,X1))) ),
inference(superposition,[status(thm)],[c_380220,c_65]) ).
tcf(c_455079,plain,
( theorem(or(iPr_def_16,or(iPr_def_14,iPr_def_19)))
| ~ theorem(or(iPr_def_10,or(iPr_def_17,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_377835,c_454998]) ).
tcf(c_455160,plain,
theorem(or(iPr_def_16,or(iPr_def_14,iPr_def_19))),
inference(forward_subsumption_resolution,[status(thm)],[c_455079,c_393675]) ).
tcf(c_456899,plain,
theorem(or(iPr_def_14,or(iPr_def_16,iPr_def_19))),
inference(superposition,[status(thm)],[c_455160,c_377838]) ).
tcf(c_470924,plain,
( theorem(or(iPr_def_14,iPr_def_23))
| ~ theorem(or(not(iPr_def_19),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_456899,c_380299]) ).
tcf(c_470995,plain,
( theorem(or(iPr_def_14,iPr_def_23))
| ~ theorem(or(iPr_def_20,iPr_def_22)) ),
inference(light_normalisation,[status(thm)],[c_470924,c_153]) ).
tcf(c_470996,plain,
theorem(or(iPr_def_14,iPr_def_23)),
inference(forward_subsumption_resolution,[status(thm)],[c_470995,c_403135]) ).
tcf(c_478333,plain,
! [X0: $i] :
( theorem(or(X0,not(iPr_def_20)))
| ~ theorem(or(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_153,c_380957]) ).
tcf(c_478347,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(X0,iPr_def_19)) ),
inference(light_normalisation,[status(thm)],[c_478333,c_154]) ).
tcf(c_481349,plain,
theorem(or(p,iPr_def_21)),
inference(superposition,[status(thm)],[c_395612,c_478347]) ).
tcf(c_481840,plain,
theorem(or(iPr_def_21,p)),
inference(superposition,[status(thm)],[c_481349,c_377822]) ).
tcf(c_487219,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_23))
| ~ theorem(or(X0,or(iPr_def_16,iPr_def_12))) ),
inference(global_subsumption_just,[status(thm)],[c_381356,c_6014,c_20514,c_481840]) ).
tcf(c_487228,plain,
theorem(or(iPr_def_13,iPr_def_23)),
inference(superposition,[status(thm)],[c_377797,c_487219]) ).
tcf(c_487460,plain,
theorem(or(iPr_def_23,iPr_def_13)),
inference(superposition,[status(thm)],[c_487228,c_377822]) ).
tcf(c_487463,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_487460,c_470996,c_286888]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL247-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 22:34:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 206.15/34.07 % SZS status Started for theBenchmark.p
% 206.15/34.07 % SZS status Unsatisfiable for theBenchmark.p
% 206.15/34.07
% 206.15/34.07 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 206.15/34.07
% 206.15/34.07 % ------ iProver source info
% 206.15/34.07
% 206.15/34.07 % git: date: 2026-07-19 20:42:38 +0200
% 206.15/34.07 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 206.15/34.07 % git: non_committed_changes: false
% 206.15/34.07
% 206.15/34.07 % ------ Parsing...% successful
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 206.15/34.07
% 206.15/34.07 % ------ 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 %
% 206.15/34.07
% 206.15/34.07 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 206.15/34.07
% 206.15/34.07 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 206.15/34.07 % ------ Proving...
% 206.15/34.07 % ------ Problem Properties
% 206.15/34.07
% 206.15/34.07 %
% 206.15/34.07 % clauses 21
% 206.15/34.07 % conjectures 1
% 206.15/34.07 % EPR 1
% 206.15/34.07 % Horn 21
% 206.15/34.07 % unary 20
% 206.15/34.07 % binary 0
% 206.15/34.07 % lits 23
% 206.15/34.07 % lits eq 14
% 206.15/34.07 % fd_pure 0
% 206.15/34.07 % fd_pseudo 0
% 206.15/34.07 % fd_cond 0
% 206.15/34.07 % fd_pseudo_cond 0
% 206.15/34.07 % AC symbols 0
% 206.15/34.07
% 206.15/34.07 % ------ Schedule dynamic 5 is on
% 206.15/34.07
% 206.15/34.07 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 % ------
% 206.15/34.07 % Current options:
% 206.15/34.07 % ------
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 %
% 206.15/34.07
% 206.15/34.07 % ------ Proving...
% 206.15/34.07 % Proof_search_loop: time out after: 7075 full_loop iterations
% 206.15/34.07
% 206.15/34.07 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 % ------
% 206.15/34.07 % Current options:
% 206.15/34.07 % ------
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 %
% 206.15/34.07
% 206.15/34.07 % ------ Proving...
% 206.15/34.07 % Proof_search_loop: time out after: 11702 full_loop iterations
% 206.15/34.07
% 206.15/34.07 % ------ Option_1: Negative Selections Time Limit: 35.
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 % ------
% 206.15/34.07 % Current options:
% 206.15/34.07 % ------
% 206.15/34.07
% 206.15/34.07
% 206.15/34.07 %
% 206.15/34.07
% 206.15/34.07 % ------ Proving...
% 206.15/34.07 %
% 206.15/34.07
% 206.15/34.07 % SZS status Unsatisfiable for theBenchmark.p
% 206.15/34.07
% 206.15/34.07 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 206.15/34.08
% 206.15/34.08
%------------------------------------------------------------------------------