%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL302-3 : 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 : n004.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 02:06:18 PM UTC 2026
% Result : Unsatisfiable 181.56s 28.23s
% Output : CNFRefutation 181.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 121 ( 77 unt; 14 def)
% Number of atoms : 325 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 126 ( 69 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 10 ( 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; 2 con; 0-2 aty)
% Number of variables : 142 ( 0 sgn 142 !; 0 ?; 107 :)
% 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(equivalent(implies(p,q),implies(p,and(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(not(or(not(or(not(or(not(p),q)),or(not(p),not(or(not(p),not(q)))))),not(or(not(or(not(p),not(or(not(p),not(q))))),or(not(p),q)))))),
inference(definition_unfolding,[],[f11,f12,f6,f6,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(not(p),q)),or(not(p),not(or(not(p),not(q)))))),not(or(not(or(not(p),not(or(not(p),not(q))))),or(not(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 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_145,definition,
iPr_def_11 = or(iPr_def_10,q),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,definition,
iPr_def_12 = not(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_147,definition,
iPr_def_13 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = or(iPr_def_10,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = not(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_150,definition,
iPr_def_16 = or(iPr_def_10,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_151,definition,
iPr_def_17 = or(iPr_def_12,iPr_def_16),
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 = not(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_154,definition,
iPr_def_20 = or(iPr_def_19,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_155,definition,
iPr_def_21 = not(iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,definition,
iPr_def_22 = or(iPr_def_18,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_157,definition,
iPr_def_23 = not(iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_158,negated_conjecture,
~ theorem(iPr_def_23),
inference(demodulation,[status(thm)],[c_67,c_153,c_154,c_155,c_147,c_148,c_149,c_150,c_144,c_145,c_146,c_151,c_152,c_156,c_157]) ).
tcf(c_312,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,q))),
inference(superposition,[status(thm)],[c_147,c_101]) ).
tcf(c_342,plain,
theorem(or(not(iPr_def_22),or(iPr_def_21,iPr_def_18))),
inference(superposition,[status(thm)],[c_156,c_106]) ).
tcf(c_349,plain,
theorem(or(iPr_def_23,or(iPr_def_21,iPr_def_18))),
inference(light_normalisation,[status(thm)],[c_342,c_157]) ).
tcf(c_362,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_363,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_364,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_372,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_17)
| ~ theorem(or(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_152,c_66]) ).
tcf(c_374,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_20)
| ~ theorem(or(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_155,c_66]) ).
tcf(c_465,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_13))),or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_111]) ).
tcf(c_470,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_601,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_15,X0)),or(not(or(X1,iPr_def_14)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_149,c_116]) ).
tcf(c_608,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_15),X0)),or(not(iPr_def_16),or(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_150,c_116]) ).
tcf(c_622,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_15),X0)),or(iPr_def_19,or(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_608,c_153]) ).
tcf(c_1882,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_465,c_66]) ).
tcf(c_2092,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_470]) ).
tcf(c_2097,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_13,q))),
inference(superposition,[status(thm)],[c_312,c_470]) ).
tcf(c_2104,plain,
theorem(or(iPr_def_21,or(iPr_def_23,iPr_def_18))),
inference(superposition,[status(thm)],[c_349,c_470]) ).
tcf(c_2333,plain,
theorem(or(iPr_def_13,q)),
inference(superposition,[status(thm)],[c_2097,c_362]) ).
tcf(c_2345,plain,
theorem(or(q,iPr_def_13)),
inference(superposition,[status(thm)],[c_2333,c_364]) ).
tcf(c_2729,plain,
( theorem(or(iPr_def_23,iPr_def_18))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_2104,c_374]) ).
tcf(c_2923,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_2092,c_362]) ).
tcf(c_2946,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_2923,c_364]) ).
tcf(c_2992,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_14)),or(X1,X0)))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_601,c_66]) ).
tcf(c_3021,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_363,c_1882]) ).
tcf(c_3268,plain,
( theorem(or(iPr_def_18,iPr_def_23))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_2729,c_364]) ).
tcf(c_3664,plain,
( theorem(iPr_def_23)
| ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(superposition,[status(thm)],[c_3268,c_372]) ).
tcf(c_3665,plain,
( ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3664,c_158]) ).
tcf(c_3962,plain,
theorem(or(not(or(not(iPr_def_15),q)),or(iPr_def_19,iPr_def_11))),
inference(superposition,[status(thm)],[c_145,c_622]) ).
tcf(c_3968,plain,
theorem(or(not(or(not(iPr_def_15),q)),iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_3962,c_154]) ).
tcf(c_3974,plain,
( theorem(iPr_def_20)
| ~ theorem(or(not(iPr_def_15),q)) ),
inference(superposition,[status(thm)],[c_3968,c_66]) ).
tcf(c_6027,plain,
theorem(or(q,iPr_def_14)),
inference(superposition,[status(thm)],[c_2345,c_3021]) ).
tcf(c_20686,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_15,X1))
| ~ theorem(or(X0,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_2992,c_66]) ).
tcf(c_22813,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_6027,c_20686]) ).
tcf(c_37094,plain,
theorem(or(q,not(iPr_def_15))),
inference(superposition,[status(thm)],[c_2946,c_22813]) ).
tcf(c_37227,plain,
theorem(or(not(iPr_def_15),q)),
inference(superposition,[status(thm)],[c_37094,c_364]) ).
tcf(c_37231,plain,
theorem(iPr_def_20),
inference(backward_subsumption_resolution,[status(thm)],[c_3974,c_37227]) ).
tcf(c_37247,plain,
~ theorem(iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_3665,c_37231]) ).
tcf(c_105707,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_105769,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_13,X0)),or(not(or(X1,q)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_147,c_116]) ).
tcf(c_105785,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_16)),or(not(or(iPr_def_12,X0)),iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_105788,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_106437,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_105707]) ).
tcf(c_106884,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,q)),or(X1,X0)))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_105769,c_66]) ).
tcf(c_108673,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_12,X0)),iPr_def_17))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_105785,c_66]) ).
tcf(c_109308,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_105788,c_105707]) ).
tcf(c_112066,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_106437,c_66]) ).
tcf(c_112150,plain,
! [X0: $i] :
( theorem(iPr_def_17)
| ~ theorem(or(iPr_def_12,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_108673,c_66]) ).
tcf(c_112155,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_12,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112150,c_37247]) ).
tcf(c_118786,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(iPr_def_10,X1)),or(X0,X1)))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_144,c_112066]) ).
tcf(c_121166,plain,
! [X0: $i] :
( theorem(or(not(iPr_def_11),or(X0,q)))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_145,c_118786]) ).
tcf(c_121189,plain,
! [X0: $i] :
( theorem(or(iPr_def_12,or(X0,q)))
| ~ theorem(or(X0,p)) ),
inference(light_normalisation,[status(thm)],[c_121166,c_146]) ).
tcf(c_175006,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_109308,c_66]) ).
tcf(c_176665,plain,
! [X0: $i,X1: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X1),iPr_def_16))
| ~ theorem(or(iPr_def_12,or(not(X0),X1))) ),
inference(superposition,[status(thm)],[c_175006,c_112155]) ).
tcf(c_177067,plain,
! [X0: $i,X1: $i] :
( ~ theorem(or(iPr_def_12,X0))
| ~ theorem(or(not(X1),iPr_def_16))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_109308,c_176665]) ).
tcf(c_178186,plain,
! [X0: $i,X1: $i] :
( ~ theorem(or(iPr_def_13,X1))
| ~ theorem(or(iPr_def_12,or(X0,q)))
| ~ theorem(or(not(or(X0,X1)),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_106884,c_177067]) ).
tcf(c_205050,plain,
( ~ theorem(or(iPr_def_13,iPr_def_16))
| ~ theorem(or(iPr_def_12,or(iPr_def_16,q))) ),
inference(superposition,[status(thm)],[c_96,c_178186]) ).
tcf(c_235466,plain,
( ~ theorem(or(iPr_def_16,p))
| ~ theorem(or(iPr_def_13,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_121189,c_205050]) ).
tcf(c_251945,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_144,c_101]) ).
tcf(c_251966,plain,
theorem(or(not(iPr_def_14),or(iPr_def_13,iPr_def_10))),
inference(superposition,[status(thm)],[c_148,c_106]) ).
tcf(c_251977,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_251982,plain,
theorem(or(iPr_def_15,or(iPr_def_13,iPr_def_10))),
inference(light_normalisation,[status(thm)],[c_251966,c_149]) ).
tcf(c_251996,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_15))),or(X0,iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_111]) ).
tcf(c_252000,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_252031,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_252366,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_16))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_15))) ),
inference(superposition,[status(thm)],[c_251996,c_66]) ).
tcf(c_252411,plain,
theorem(or(iPr_def_13,or(iPr_def_15,iPr_def_10))),
inference(superposition,[status(thm)],[c_251982,c_252000]) ).
tcf(c_252901,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_252031,c_66]) ).
tcf(c_254151,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_106,c_252901]) ).
tcf(c_261540,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(p,X0))),
inference(superposition,[status(thm)],[c_251945,c_254151]) ).
tcf(c_261609,plain,
theorem(or(iPr_def_13,or(iPr_def_10,iPr_def_15))),
inference(superposition,[status(thm)],[c_252411,c_254151]) ).
tcf(c_261847,plain,
theorem(or(iPr_def_13,iPr_def_16)),
inference(light_normalisation,[status(thm)],[c_261609,c_150]) ).
tcf(c_273259,plain,
theorem(or(p,iPr_def_16)),
inference(superposition,[status(thm)],[c_261540,c_252366]) ).
tcf(c_273434,plain,
theorem(or(iPr_def_16,p)),
inference(superposition,[status(thm)],[c_273259,c_251977]) ).
tcf(c_273441,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_273434,c_261847,c_235466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL302-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 22:46:35 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 181.56/28.23 % SZS status Started for theBenchmark.p
% 181.56/28.23 % SZS status Unsatisfiable for theBenchmark.p
% 181.56/28.23
% 181.56/28.23 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 181.56/28.23
% 181.56/28.23 % ------ iProver source info
% 181.56/28.23
% 181.56/28.23 % git: date: 2026-07-19 20:42:38 +0200
% 181.56/28.23 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 181.56/28.23 % git: non_committed_changes: false
% 181.56/28.23
% 181.56/28.23 % ------ Parsing...% successful
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 181.56/28.23
% 181.56/28.23 % ------ 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 %
% 181.56/28.23
% 181.56/28.23 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 181.56/28.23
% 181.56/28.23 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 181.56/28.23 % ------ Proving...
% 181.56/28.23 % ------ Problem Properties
% 181.56/28.23
% 181.56/28.23 %
% 181.56/28.23 % clauses 21
% 181.56/28.23 % conjectures 1
% 181.56/28.23 % EPR 1
% 181.56/28.23 % Horn 21
% 181.56/28.23 % unary 20
% 181.56/28.23 % binary 0
% 181.56/28.23 % lits 23
% 181.56/28.23 % lits eq 14
% 181.56/28.23 % fd_pure 0
% 181.56/28.23 % fd_pseudo 0
% 181.56/28.23 % fd_cond 0
% 181.56/28.23 % fd_pseudo_cond 0
% 181.56/28.23 % AC symbols 0
% 181.56/28.23
% 181.56/28.23 % ------ Schedule dynamic 5 is on
% 181.56/28.23
% 181.56/28.23 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 % ------
% 181.56/28.23 % Current options:
% 181.56/28.23 % ------
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 %
% 181.56/28.23
% 181.56/28.23 % ------ Proving...
% 181.56/28.23 % Proof_search_loop: time out after: 5732 full_loop iterations
% 181.56/28.23
% 181.56/28.23 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 % ------
% 181.56/28.23 % Current options:
% 181.56/28.23 % ------
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 %
% 181.56/28.23
% 181.56/28.23 % ------ Proving...
% 181.56/28.23 % Proof_search_loop: time out after: 7904 full_loop iterations
% 181.56/28.23
% 181.56/28.23 % ------ Option_1: Negative Selections Time Limit: 35.
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 % ------
% 181.56/28.23 % Current options:
% 181.56/28.23 % ------
% 181.56/28.23
% 181.56/28.23
% 181.56/28.23 %
% 181.56/28.23
% 181.56/28.23 % ------ Proving...
% 181.56/28.23 %
% 181.56/28.23
% 181.56/28.23 % SZS status Unsatisfiable for theBenchmark.p
% 181.56/28.23
% 181.56/28.23 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 181.56/28.24
% 181.56/28.24
%------------------------------------------------------------------------------