%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL242-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.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 02:06:08 PM UTC 2026
% Result : Unsatisfiable 16.10s 3.27s
% Output : CNFRefutation 16.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 113 ( 73 unt; 10 def)
% Number of atoms : 320 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 58 ~; 47 |; 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 : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn 128 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,negated_conjecture,
~ theorem(implies(implies(and(p,q),r),implies(p,implies(q,r)))),
file('/export/starexec/sandbox/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(p),or(not(q),r)))),
inference(definition_unfolding,[],[f10,f6,f6,f9,f6,f6]) ).
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(p),or(not(q),r)))),
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 = or(iPr_def_11,r),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_151,definition,
iPr_def_18 = or(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_152,definition,
iPr_def_19 = or(iPr_def_16,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_153,negated_conjecture,
~ theorem(iPr_def_19),
inference(demodulation,[status(thm)],[c_66,c_150,c_151,c_144,c_143,c_145,c_146,c_147,c_148,c_149,c_152]) ).
tcf(c_293,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_323,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_146,c_100]) ).
tcf(c_328,plain,
theorem(or(not(r),iPr_def_17)),
inference(superposition,[status(thm)],[c_150,c_100]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_100,c_65]) ).
tcf(c_373,plain,
theorem(or(not(or(r,iPr_def_11)),iPr_def_17)),
inference(superposition,[status(thm)],[c_150,c_105]) ).
tcf(c_376,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_425,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_15)),or(iPr_def_14,or(X0,r)))),
inference(superposition,[status(thm)],[c_148,c_110]) ).
tcf(c_428,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_19)),or(iPr_def_16,or(X0,iPr_def_18)))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_432,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_151,c_110]) ).
tcf(c_433,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_16,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_434,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_619,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_620,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_14,X0)),or(not(or(X1,iPr_def_13)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_147,c_115]) ).
tcf(c_622,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_11),X0)),or(not(iPr_def_12),or(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_145,c_115]) ).
tcf(c_623,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_631,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_18)),or(not(or(iPr_def_16,X0)),iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_115]) ).
tcf(c_632,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_634,plain,
! [X0: $i] : theorem(or(not(or(not(r),X0)),or(iPr_def_16,or(iPr_def_14,X0)))),
inference(light_normalisation,[status(thm)],[c_623,c_149]) ).
tcf(c_635,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_11),X0)),or(iPr_def_13,or(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_622,c_146]) ).
tcf(c_932,plain,
theorem(or(not(or(iPr_def_11,iPr_def_15)),or(iPr_def_14,iPr_def_17))),
inference(superposition,[status(thm)],[c_150,c_425]) ).
tcf(c_1007,plain,
( theorem(or(iPr_def_14,iPr_def_17))
| ~ theorem(or(iPr_def_11,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_932,c_65]) ).
tcf(c_1063,plain,
( theorem(or(iPr_def_14,iPr_def_17))
| ~ theorem(iPr_def_15) ),
inference(superposition,[status(thm)],[c_331,c_1007]) ).
tcf(c_1225,plain,
! [X0: $i] :
( theorem(or(iPr_def_16,or(X0,iPr_def_18)))
| ~ theorem(or(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_428,c_65]) ).
tcf(c_1320,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_17))) ),
inference(superposition,[status(thm)],[c_432,c_65]) ).
tcf(c_1332,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_16,or(X0,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_433,c_65]) ).
tcf(c_1443,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(superposition,[status(thm)],[c_95,c_434]) ).
tcf(c_1444,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_434]) ).
tcf(c_1445,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_105,c_434]) ).
tcf(c_1450,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_13,iPr_def_12))),
inference(superposition,[status(thm)],[c_323,c_434]) ).
tcf(c_1453,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_331,c_434]) ).
tcf(c_1660,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_331,c_1320]) ).
tcf(c_1731,plain,
theorem(or(iPr_def_13,iPr_def_12)),
inference(superposition,[status(thm)],[c_1450,c_293]) ).
tcf(c_1741,plain,
theorem(or(iPr_def_12,iPr_def_13)),
inference(superposition,[status(thm)],[c_1731,c_376]) ).
tcf(c_1774,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_331,c_1332]) ).
tcf(c_1782,plain,
! [X0: $i] :
( theorem(or(iPr_def_16,or(iPr_def_14,X0)))
| ~ theorem(or(not(r),X0)) ),
inference(superposition,[status(thm)],[c_634,c_65]) ).
tcf(c_1935,plain,
theorem(or(not(or(not(iPr_def_11),iPr_def_17)),or(iPr_def_13,iPr_def_18))),
inference(superposition,[status(thm)],[c_151,c_635]) ).
tcf(c_1990,plain,
theorem(or(iPr_def_13,or(not(or(not(iPr_def_11),iPr_def_17)),iPr_def_18))),
inference(superposition,[status(thm)],[c_1935,c_434]) ).
tcf(c_2008,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1444,c_293]) ).
tcf(c_2030,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_2008,c_434]) ).
tcf(c_2158,plain,
( theorem(or(iPr_def_14,iPr_def_19))
| ~ theorem(or(not(r),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_1782,c_1332]) ).
tcf(c_2287,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_12)),or(X1,X0)))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_619,c_65]) ).
tcf(c_2441,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X0),X1)),
inference(superposition,[status(thm)],[c_1445,c_376]) ).
tcf(c_2567,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_13)),or(X1,X0)))
| ~ theorem(or(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_620,c_65]) ).
tcf(c_3423,plain,
theorem(or(not(r),iPr_def_18)),
inference(superposition,[status(thm)],[c_328,c_1660]) ).
tcf(c_3427,plain,
( theorem(or(iPr_def_14,iPr_def_18))
| ~ theorem(iPr_def_15) ),
inference(superposition,[status(thm)],[c_1063,c_1660]) ).
tcf(c_4005,plain,
( theorem(or(iPr_def_14,iPr_def_19))
| ~ theorem(iPr_def_15) ),
inference(superposition,[status(thm)],[c_3427,c_1774]) ).
tcf(c_4271,plain,
theorem(or(iPr_def_14,iPr_def_19)),
inference(global_subsumption_just,[status(thm)],[c_4005,c_2158,c_3423]) ).
tcf(c_4294,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_16,X0)),iPr_def_19))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_631,c_65]) ).
tcf(c_4390,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_632,c_65]) ).
tcf(c_4483,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2030,c_65]) ).
tcf(c_5208,plain,
! [X0: $i] : theorem(or(or(not(or(X0,iPr_def_18)),X0),iPr_def_19)),
inference(superposition,[status(thm)],[c_2441,c_1774]) ).
tcf(c_5722,plain,
! [X0: $i] :
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_4294,c_65]) ).
tcf(c_5726,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5722,c_153]) ).
tcf(c_5766,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_16,or(not(X0),iPr_def_18))) ),
inference(superposition,[status(thm)],[c_4483,c_5726]) ).
tcf(c_6270,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_19)) ),
inference(superposition,[status(thm)],[c_1225,c_5766]) ).
tcf(c_6409,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_13,X1))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_2287,c_65]) ).
tcf(c_6431,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_14,X1))
| ~ theorem(or(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_2567,c_65]) ).
tcf(c_7150,plain,
! [X0: $i] :
( theorem(or(iPr_def_12,X0))
| ~ theorem(or(iPr_def_14,X0)) ),
inference(superposition,[status(thm)],[c_1741,c_6431]) ).
tcf(c_7679,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,or(r,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_373,c_4390]) ).
tcf(c_9951,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_1443,c_65]) ).
tcf(c_13909,plain,
theorem(or(iPr_def_12,iPr_def_19)),
inference(superposition,[status(thm)],[c_4271,c_7150]) ).
tcf(c_13944,plain,
theorem(or(iPr_def_19,iPr_def_12)),
inference(superposition,[status(thm)],[c_13909,c_376]) ).
tcf(c_13947,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,X0))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_13944,c_6409]) ).
tcf(c_14498,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_19),or(not(X0),iPr_def_19))) ),
inference(superposition,[status(thm)],[c_9951,c_6270]) ).
tcf(c_14769,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_19),iPr_def_19)) ),
inference(superposition,[status(thm)],[c_1453,c_14498]) ).
tcf(c_14831,plain,
~ theorem(or(iPr_def_19,iPr_def_18)),
inference(superposition,[status(thm)],[c_5208,c_14769]) ).
tcf(c_17928,plain,
theorem(or(iPr_def_19,or(not(or(not(iPr_def_11),iPr_def_17)),iPr_def_18))),
inference(superposition,[status(thm)],[c_1990,c_13947]) ).
tcf(c_22359,plain,
theorem(or(not(or(not(iPr_def_11),iPr_def_17)),or(iPr_def_19,iPr_def_18))),
inference(superposition,[status(thm)],[c_17928,c_434]) ).
tcf(c_26271,plain,
( theorem(or(iPr_def_19,iPr_def_18))
| ~ theorem(or(not(iPr_def_11),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_22359,c_65]) ).
tcf(c_26274,plain,
~ theorem(or(not(iPr_def_11),iPr_def_17)),
inference(forward_subsumption_resolution,[status(thm)],[c_26271,c_14831]) ).
tcf(c_44169,plain,
theorem(or(not(iPr_def_11),iPr_def_17)),
inference(superposition,[status(thm)],[c_100,c_7679]) ).
tcf(c_44249,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_44169,c_26274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL242-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 22:34:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 16.10/3.27 % SZS status Started for theBenchmark.p
% 16.10/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 16.10/3.27
% 16.10/3.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 16.10/3.27
% 16.10/3.27 % ------ iProver source info
% 16.10/3.27
% 16.10/3.27 % git: date: 2026-07-19 20:42:38 +0200
% 16.10/3.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 16.10/3.27 % git: non_committed_changes: false
% 16.10/3.27
% 16.10/3.27 % ------ Parsing...% successful
% 16.10/3.27
% 16.10/3.27
% 16.10/3.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 16.10/3.27
% 16.10/3.27 % ------ 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 %
% 16.10/3.27
% 16.10/3.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 16.10/3.27
% 16.10/3.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 16.10/3.27 % ------ Proving...
% 16.10/3.27 % ------ Problem Properties
% 16.10/3.27
% 16.10/3.27 %
% 16.10/3.27 % clauses 17
% 16.10/3.27 % conjectures 1
% 16.10/3.27 % EPR 1
% 16.10/3.27 % Horn 17
% 16.10/3.27 % unary 16
% 16.10/3.27 % binary 0
% 16.10/3.27 % lits 19
% 16.10/3.27 % lits eq 10
% 16.10/3.27 % fd_pure 0
% 16.10/3.27 % fd_pseudo 0
% 16.10/3.27 % fd_cond 0
% 16.10/3.27 % fd_pseudo_cond 0
% 16.10/3.27 % AC symbols 0
% 16.10/3.27
% 16.10/3.27 % ------ Schedule dynamic 5 is on
% 16.10/3.27
% 16.10/3.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 16.10/3.27
% 16.10/3.27
% 16.10/3.27 % ------
% 16.10/3.27 % Current options:
% 16.10/3.27 % ------
% 16.10/3.27
% 16.10/3.27
% 16.10/3.27 %
% 16.10/3.27
% 16.10/3.27 % ------ Proving...
% 16.10/3.27 %
% 16.10/3.27
% 16.10/3.27 % SZS status Unsatisfiable for theBenchmark.p
% 16.10/3.27
% 16.10/3.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 16.10/3.27
% 16.10/3.27
%------------------------------------------------------------------------------