%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL319-3 : 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 : n005.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 02:06:20 PM UTC 2026
% Result : Unsatisfiable 17.05s 10.42s
% Output : CNFRefutation 17.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 145 ( 87 unt; 12 def)
% Number of atoms : 412 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 167 ( 93 ~; 74 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 179 ( 0 sgn 179 !; 0 ?; 144 :)
% 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,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(implies(and(p,q),equivalent(p,q))),
file('/export/starexec/sandbox/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(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(definition_unfolding,[],[f11,f6,f9,f12]) ).
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(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(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_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = or(iPr_def_10,q),
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_11,p),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_153,definition,
iPr_def_19 = or(iPr_def_16,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_154,definition,
iPr_def_20 = not(iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_155,definition,
iPr_def_21 = or(iPr_def_14,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,negated_conjecture,
~ theorem(iPr_def_21),
inference(demodulation,[status(thm)],[c_67,c_151,c_152,c_149,c_150,c_153,c_154,c_145,c_144,c_146,c_147,c_148,c_155]) ).
tcf(c_304,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_148,c_101]) ).
tcf(c_309,plain,
theorem(or(not(q),iPr_def_15)),
inference(superposition,[status(thm)],[c_149,c_101]) ).
tcf(c_310,plain,
theorem(or(not(p),iPr_def_17)),
inference(superposition,[status(thm)],[c_151,c_101]) ).
tcf(c_313,plain,
theorem(or(iPr_def_10,iPr_def_17)),
inference(light_normalisation,[status(thm)],[c_310,c_144]) ).
tcf(c_314,plain,
theorem(or(iPr_def_11,iPr_def_15)),
inference(light_normalisation,[status(thm)],[c_309,c_145]) ).
tcf(c_326,plain,
theorem(or(not(iPr_def_17),or(p,iPr_def_11))),
inference(superposition,[status(thm)],[c_151,c_106]) ).
tcf(c_328,plain,
theorem(or(not(iPr_def_21),or(iPr_def_20,iPr_def_14))),
inference(superposition,[status(thm)],[c_155,c_106]) ).
tcf(c_333,plain,
theorem(or(not(or(iPr_def_20,iPr_def_14)),iPr_def_21)),
inference(superposition,[status(thm)],[c_155,c_106]) ).
tcf(c_335,plain,
theorem(or(iPr_def_18,or(p,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_326,c_152]) ).
tcf(c_345,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_346,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_347,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_457,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_21)),or(iPr_def_14,or(X0,iPr_def_20)))),
inference(superposition,[status(thm)],[c_155,c_111]) ).
tcf(c_458,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_463,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_597,plain,
theorem(or(iPr_def_15,iPr_def_11)),
inference(superposition,[status(thm)],[c_314,c_347]) ).
tcf(c_608,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_346,c_347]) ).
tcf(c_686,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_144,c_116]) ).
tcf(c_688,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_689,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_148,c_116]) ).
tcf(c_690,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_691,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_18,X0)),or(not(or(X1,iPr_def_17)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_696,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_18),X0)),or(not(iPr_def_19),or(iPr_def_16,X0)))),
inference(superposition,[status(thm)],[c_153,c_116]) ).
tcf(c_702,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_20)),or(not(or(iPr_def_14,X0)),iPr_def_21))),
inference(superposition,[status(thm)],[c_155,c_116]) ).
tcf(c_703,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_705,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_18),X0)),or(iPr_def_20,or(iPr_def_16,X0)))),
inference(light_normalisation,[status(thm)],[c_696,c_154]) ).
tcf(c_1429,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,or(X0,iPr_def_20)))
| ~ theorem(or(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_457,c_66]) ).
tcf(c_1438,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_12))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_458,c_66]) ).
tcf(c_1612,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_463]) ).
tcf(c_1613,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_106,c_463]) ).
tcf(c_1615,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_116,c_463]) ).
tcf(c_1619,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,iPr_def_13))),
inference(superposition,[status(thm)],[c_304,c_463]) ).
tcf(c_1628,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_346,c_463]) ).
tcf(c_1885,plain,
theorem(or(iPr_def_14,iPr_def_13)),
inference(superposition,[status(thm)],[c_1619,c_345]) ).
tcf(c_1951,plain,
theorem(or(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_1885,c_347]) ).
tcf(c_2006,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,p)),or(X1,X0)))
| ~ theorem(or(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_686,c_66]) ).
tcf(c_2058,plain,
! [X0: $i] :
( theorem(or(or(X0,iPr_def_20),iPr_def_14))
| ~ theorem(or(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_1429,c_347]) ).
tcf(c_2073,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_12))
| ~ theorem(or(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_346,c_1438]) ).
tcf(c_2284,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1612,c_345]) ).
tcf(c_2308,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_2284,c_347]) ).
tcf(c_2309,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_2284,c_463]) ).
tcf(c_2378,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_688,c_66]) ).
tcf(c_2615,plain,
! [X0: $i] : theorem(or(not(iPr_def_21),or(not(or(X0,iPr_def_13)),or(X0,iPr_def_20)))),
inference(superposition,[status(thm)],[c_155,c_689]) ).
tcf(c_2655,plain,
! [X0: $i] :
( theorem(or(iPr_def_20,or(iPr_def_16,X0)))
| ~ theorem(or(not(iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_705,c_66]) ).
tcf(c_2858,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_690,c_66]) ).
tcf(c_2974,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_17)),or(X1,X0)))
| ~ theorem(or(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_691,c_66]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_1613,c_66]) ).
tcf(c_3184,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_3094,c_463]) ).
tcf(c_3657,plain,
theorem(or(iPr_def_15,iPr_def_12)),
inference(superposition,[status(thm)],[c_597,c_2073]) ).
tcf(c_4117,plain,
! [X0: $i] :
( theorem(or(iPr_def_16,or(iPr_def_20,X0)))
| ~ theorem(or(not(iPr_def_18),X0)) ),
inference(superposition,[status(thm)],[c_2655,c_463]) ).
tcf(c_4574,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_21))
| ~ theorem(or(not(X0),iPr_def_20)) ),
inference(superposition,[status(thm)],[c_702,c_66]) ).
tcf(c_4833,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_703,c_66]) ).
tcf(c_4835,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,or(not(or(X2,X0)),X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_703,c_463]) ).
tcf(c_5680,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2309,c_66]) ).
tcf(c_5887,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,not(or(not(X0),X1))))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_5680,c_347]) ).
tcf(c_7955,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_1615,c_66]) ).
tcf(c_8072,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_1628,c_347]) ).
tcf(c_9335,plain,
! [X0: $i] :
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_20)) ),
inference(superposition,[status(thm)],[c_4574,c_66]) ).
tcf(c_9339,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_20)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9335,c_156]) ).
tcf(c_9425,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_14,or(not(X0),iPr_def_20))) ),
inference(superposition,[status(thm)],[c_5680,c_9339]) ).
tcf(c_9559,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_1429,c_9425]) ).
tcf(c_12733,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_10,X1))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_2006,c_66]) ).
tcf(c_13070,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_2378,c_66]) ).
tcf(c_14053,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_2858,c_66]) ).
tcf(c_14140,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_18,X1))
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_2974,c_66]) ).
tcf(c_14765,plain,
! [X0: $i] :
( theorem(or(iPr_def_15,X0))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_3657,c_13070]) ).
tcf(c_15521,plain,
! [X0: $i] :
( theorem(or(iPr_def_10,X0))
| ~ theorem(or(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_313,c_14140]) ).
tcf(c_16234,plain,
! [X0: $i] :
( theorem(or(X0,or(iPr_def_20,iPr_def_14)))
| ~ theorem(or(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_328,c_4833]) ).
tcf(c_16239,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(X0,or(iPr_def_20,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_333,c_4833]) ).
tcf(c_19057,plain,
theorem(or(iPr_def_15,iPr_def_14)),
inference(superposition,[status(thm)],[c_1951,c_14765]) ).
tcf(c_19649,plain,
theorem(or(iPr_def_14,iPr_def_15)),
inference(superposition,[status(thm)],[c_19057,c_347]) ).
tcf(c_19712,plain,
( theorem(or(iPr_def_21,iPr_def_14))
| ~ theorem(or(iPr_def_14,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_155,c_2058]) ).
tcf(c_19786,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_19649,c_14053]) ).
tcf(c_27383,plain,
theorem(or(iPr_def_10,or(p,iPr_def_11))),
inference(superposition,[status(thm)],[c_335,c_15521]) ).
tcf(c_27425,plain,
theorem(or(iPr_def_10,not(iPr_def_18))),
inference(superposition,[status(thm)],[c_2308,c_15521]) ).
tcf(c_27661,plain,
theorem(or(p,iPr_def_12)),
inference(superposition,[status(thm)],[c_27383,c_1438]) ).
tcf(c_27664,plain,
! [X0: $i] :
( theorem(or(p,X0))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_27661,c_13070]) ).
tcf(c_32688,plain,
theorem(or(p,iPr_def_14)),
inference(superposition,[status(thm)],[c_1951,c_27664]) ).
tcf(c_32791,plain,
theorem(or(iPr_def_14,p)),
inference(superposition,[status(thm)],[c_32688,c_347]) ).
tcf(c_32878,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,X0))
| ~ theorem(or(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_32791,c_12733]) ).
tcf(c_34558,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_3184,c_66]) ).
tcf(c_35018,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_21),not(X1))) ),
inference(superposition,[status(thm)],[c_34558,c_9559]) ).
tcf(c_38787,plain,
theorem(or(iPr_def_14,not(iPr_def_18))),
inference(superposition,[status(thm)],[c_27425,c_32878]) ).
tcf(c_39208,plain,
theorem(or(not(iPr_def_18),iPr_def_14)),
inference(superposition,[status(thm)],[c_38787,c_347]) ).
tcf(c_51047,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),or(not(X1),iPr_def_21))) ),
inference(superposition,[status(thm)],[c_5887,c_35018]) ).
tcf(c_51809,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),iPr_def_21))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_7955,c_51047]) ).
tcf(c_54881,plain,
! [X0: $i] :
( ~ theorem(or(X0,X0))
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_96,c_51809]) ).
tcf(c_58913,plain,
~ theorem(or(or(iPr_def_20,iPr_def_14),or(iPr_def_20,iPr_def_14))),
inference(superposition,[status(thm)],[c_333,c_54881]) ).
tcf(c_59720,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(not(X2),X0)),X1))
| ~ theorem(X2)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_4835,c_66]) ).
tcf(c_60052,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),iPr_def_20))
| ~ theorem(or(iPr_def_14,or(not(X0),X1))) ),
inference(superposition,[status(thm)],[c_59720,c_9339]) ).
tcf(c_60771,plain,
! [X0: $i,X1: $i] :
( ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X1),iPr_def_20))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_4835,c_60052]) ).
tcf(c_61907,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,iPr_def_21))
| ~ theorem(or(not(or(not(or(X0,iPr_def_13)),or(X0,iPr_def_20))),iPr_def_20)) ),
inference(superposition,[status(thm)],[c_2615,c_60771]) ).
tcf(c_74497,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,iPr_def_21))
| ~ theorem(not(or(not(or(X0,iPr_def_13)),or(X0,iPr_def_20)))) ),
inference(superposition,[status(thm)],[c_608,c_61907]) ).
tcf(c_89753,plain,
~ theorem(or(or(iPr_def_20,iPr_def_14),iPr_def_21)),
inference(superposition,[status(thm)],[c_16234,c_58913]) ).
tcf(c_90255,plain,
~ theorem(or(iPr_def_21,iPr_def_14)),
inference(superposition,[status(thm)],[c_8072,c_89753]) ).
tcf(c_104600,plain,
~ theorem(or(iPr_def_14,iPr_def_21)),
inference(global_subsumption_just,[status(thm)],[c_74497,c_19712,c_90255]) ).
tcf(c_111108,plain,
( theorem(or(iPr_def_16,iPr_def_21))
| ~ theorem(or(not(iPr_def_18),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_4117,c_16239]) ).
tcf(c_111244,plain,
theorem(or(iPr_def_16,iPr_def_21)),
inference(forward_subsumption_resolution,[status(thm)],[c_111108,c_39208]) ).
tcf(c_111636,plain,
theorem(or(iPr_def_14,iPr_def_21)),
inference(superposition,[status(thm)],[c_111244,c_19786]) ).
tcf(c_111640,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_111636,c_104600]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL319-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.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
% 0.09/0.35 % DateTime : Wed Sep 23 22:49:47 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.38 Running first-order theorem proving
% 0.09/0.38 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
% 0.13/0.39
% 0.13/0.39 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.39
% 0.13/0.39 % Detected problem language: tptp
% 0.13/0.40 % Proving...
% 17.05/10.42 % SZS status Started for theBenchmark.p
% 17.05/10.42 % SZS status Unsatisfiable for theBenchmark.p
% 17.05/10.42
% 17.05/10.42 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 17.05/10.42
% 17.05/10.42 % ------ iProver source info
% 17.05/10.42
% 17.05/10.42 % git: date: 2026-07-19 20:42:38 +0200
% 17.05/10.42 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 17.05/10.42 % git: non_committed_changes: false
% 17.05/10.42
% 17.05/10.42 % ------ Parsing...% successful
% 17.05/10.42
% 17.05/10.42
% 17.05/10.42 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 17.05/10.42
% 17.05/10.42 % ------ 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 %
% 17.05/10.42
% 17.05/10.42 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 17.05/10.42
% 17.05/10.42 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.05/10.42 % ------ Proving...
% 17.05/10.42 % ------ Problem Properties
% 17.05/10.42
% 17.05/10.42 %
% 17.05/10.42 % clauses 19
% 17.05/10.42 % conjectures 1
% 17.05/10.42 % EPR 1
% 17.05/10.42 % Horn 19
% 17.05/10.42 % unary 18
% 17.05/10.42 % binary 0
% 17.05/10.42 % lits 21
% 17.05/10.42 % lits eq 12
% 17.05/10.42 % fd_pure 0
% 17.05/10.42 % fd_pseudo 0
% 17.05/10.42 % fd_cond 0
% 17.05/10.42 % fd_pseudo_cond 0
% 17.05/10.42 % AC symbols 0
% 17.05/10.42
% 17.05/10.42 % ------ Schedule dynamic 5 is on
% 17.05/10.42
% 17.05/10.42 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.05/10.42
% 17.05/10.42
% 17.05/10.42 % ------
% 17.05/10.42 % Current options:
% 17.05/10.42 % ------
% 17.05/10.42
% 17.05/10.42
% 17.05/10.42 %
% 17.05/10.42
% 17.05/10.42 % ------ Proving...
% 17.05/10.42 %
% 17.05/10.42
% 17.05/10.42 % SZS status Unsatisfiable for theBenchmark.p
% 17.05/10.42
% 17.05/10.42 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.05/10.43
% 17.05/10.43
%------------------------------------------------------------------------------