%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL295-3 : 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 : n016.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 02:06:17 PM UTC 2026
% Result : Unsatisfiable 14.92s 8.63s
% Output : CNFRefutation 14.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 124 ( 89 unt; 15 def)
% Number of atoms : 352 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 99 ( 53 ~; 46 |; 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 : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 120 !; 0 ?; 85 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(not(implies(p,q)),and(p,not(q)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(not(or(not(p),q))),not(or(not(p),not(not(q)))))),not(or(not(not(or(not(p),not(not(q))))),not(or(not(p),q))))))),
inference(definition_unfolding,[],[f11,f12,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(not(or(not(p),q))),not(or(not(p),not(not(q)))))),not(or(not(not(or(not(p),not(not(q))))),not(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(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = 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 = not(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = or(iPr_def_13,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_153,definition,
iPr_def_19 = not(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_154,definition,
iPr_def_20 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_155,definition,
iPr_def_21 = or(iPr_def_20,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,definition,
iPr_def_22 = not(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_157,definition,
iPr_def_23 = or(iPr_def_19,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_158,definition,
iPr_def_24 = not(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_159,negated_conjecture,
~ theorem(iPr_def_24),
inference(demodulation,[status(thm)],[c_67,c_154,c_155,c_156,c_148,c_149,c_150,c_151,c_144,c_145,c_146,c_147,c_152,c_153,c_157,c_158]) ).
tcf(c_316,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,q))),
inference(superposition,[status(thm)],[c_148,c_101]) ).
tcf(c_319,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_147,c_101]) ).
tcf(c_320,plain,
! [X0: $i] : theorem(or(iPr_def_15,or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_149,c_101]) ).
tcf(c_323,plain,
! [X0: $i] : theorem(or(iPr_def_20,or(X0,iPr_def_17))),
inference(superposition,[status(thm)],[c_154,c_101]) ).
tcf(c_349,plain,
theorem(or(not(iPr_def_23),or(iPr_def_22,iPr_def_19))),
inference(superposition,[status(thm)],[c_157,c_106]) ).
tcf(c_352,plain,
theorem(or(not(or(iPr_def_17,iPr_def_13)),iPr_def_18)),
inference(superposition,[status(thm)],[c_152,c_106]) ).
tcf(c_353,plain,
theorem(or(not(or(iPr_def_12,iPr_def_20)),iPr_def_21)),
inference(superposition,[status(thm)],[c_155,c_106]) ).
tcf(c_355,plain,
theorem(or(iPr_def_24,or(iPr_def_22,iPr_def_19))),
inference(light_normalisation,[status(thm)],[c_349,c_158]) ).
tcf(c_367,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_368,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_378,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_153,c_66]) ).
tcf(c_380,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_21)
| ~ theorem(or(iPr_def_22,X0)) ),
inference(superposition,[status(thm)],[c_156,c_66]) ).
tcf(c_478,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_21)),or(iPr_def_20,or(X0,iPr_def_12)))),
inference(superposition,[status(thm)],[c_155,c_111]) ).
tcf(c_485,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_520,plain,
( theorem(iPr_def_18)
| ~ theorem(or(iPr_def_17,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_352,c_66]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_12,X0)),or(not(or(X1,iPr_def_11)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_146,c_116]) ).
tcf(c_606,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_607,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_17,X0)),or(not(or(X1,iPr_def_16)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_612,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_11),or(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_145,c_116]) ).
tcf(c_613,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_620,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_12)),or(not(or(iPr_def_20,X0)),iPr_def_21))),
inference(superposition,[status(thm)],[c_155,c_116]) ).
tcf(c_626,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_15),X0)),or(iPr_def_17,or(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_613,c_151]) ).
tcf(c_627,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,X0)),or(iPr_def_12,or(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_612,c_146,c_148]) ).
tcf(c_1694,plain,
! [X0: $i] :
( theorem(or(iPr_def_20,or(X0,iPr_def_12)))
| ~ theorem(or(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_478,c_66]) ).
tcf(c_1950,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_485]) ).
tcf(c_1954,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,q))),
inference(superposition,[status(thm)],[c_316,c_485]) ).
tcf(c_1957,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_13,iPr_def_12))),
inference(superposition,[status(thm)],[c_319,c_485]) ).
tcf(c_1958,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_15,iPr_def_14))),
inference(superposition,[status(thm)],[c_320,c_485]) ).
tcf(c_1961,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_20,iPr_def_17))),
inference(superposition,[status(thm)],[c_323,c_485]) ).
tcf(c_1964,plain,
theorem(or(iPr_def_22,or(iPr_def_24,iPr_def_19))),
inference(superposition,[status(thm)],[c_355,c_485]) ).
tcf(c_1969,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_368,c_485]) ).
tcf(c_2135,plain,
theorem(or(not(or(iPr_def_14,iPr_def_15)),or(iPr_def_12,iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_627]) ).
tcf(c_2150,plain,
theorem(or(iPr_def_14,q)),
inference(superposition,[status(thm)],[c_1954,c_367]) ).
tcf(c_2188,plain,
theorem(or(q,iPr_def_14)),
inference(superposition,[status(thm)],[c_2150,c_369]) ).
tcf(c_2231,plain,
theorem(or(iPr_def_13,iPr_def_12)),
inference(superposition,[status(thm)],[c_1957,c_367]) ).
tcf(c_2246,plain,
theorem(or(iPr_def_12,iPr_def_13)),
inference(superposition,[status(thm)],[c_2231,c_369]) ).
tcf(c_2293,plain,
( theorem(or(iPr_def_12,iPr_def_16))
| ~ theorem(or(iPr_def_14,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_2135,c_66]) ).
tcf(c_2342,plain,
theorem(or(iPr_def_15,iPr_def_14)),
inference(superposition,[status(thm)],[c_1958,c_367]) ).
tcf(c_2359,plain,
theorem(or(iPr_def_14,iPr_def_15)),
inference(superposition,[status(thm)],[c_2342,c_369]) ).
tcf(c_2361,plain,
theorem(or(iPr_def_12,iPr_def_16)),
inference(backward_subsumption_resolution,[status(thm)],[c_2293,c_2359]) ).
tcf(c_2588,plain,
theorem(or(iPr_def_20,iPr_def_17)),
inference(superposition,[status(thm)],[c_1961,c_367]) ).
tcf(c_2602,plain,
theorem(or(iPr_def_17,iPr_def_20)),
inference(superposition,[status(thm)],[c_2588,c_369]) ).
tcf(c_2682,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_11)),or(X1,X0)))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_604,c_66]) ).
tcf(c_2772,plain,
( theorem(or(iPr_def_24,iPr_def_19))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_1964,c_380]) ).
tcf(c_3011,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1950,c_367]) ).
tcf(c_3042,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_3011,c_369]) ).
tcf(c_3097,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_606,c_66]) ).
tcf(c_3313,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_16)),or(X1,X0)))
| ~ theorem(or(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_607,c_66]) ).
tcf(c_3386,plain,
theorem(or(not(or(not(iPr_def_15),q)),or(iPr_def_17,iPr_def_11))),
inference(superposition,[status(thm)],[c_145,c_626]) ).
tcf(c_3396,plain,
( theorem(or(iPr_def_17,iPr_def_11))
| ~ theorem(or(not(iPr_def_15),q)) ),
inference(superposition,[status(thm)],[c_3386,c_66]) ).
tcf(c_3494,plain,
( theorem(or(iPr_def_19,iPr_def_24))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2772,c_369]) ).
tcf(c_3693,plain,
( theorem(iPr_def_24)
| ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_3494,c_378]) ).
tcf(c_3694,plain,
( ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3693,c_159]) ).
tcf(c_5023,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_20,X0)),iPr_def_21))
| ~ theorem(or(not(X0),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_620,c_66]) ).
tcf(c_11169,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_1969,c_66]) ).
tcf(c_13386,plain,
! [X0: $i] :
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_20,X0))
| ~ theorem(or(not(X0),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_5023,c_66]) ).
tcf(c_14487,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(iPr_def_12,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_353,c_11169]) ).
tcf(c_17881,plain,
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_20,or(iPr_def_12,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_96,c_13386]) ).
tcf(c_19902,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_12,X1))
| ~ theorem(or(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_2682,c_66]) ).
tcf(c_19985,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_3097,c_66]) ).
tcf(c_20012,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_17,X1))
| ~ theorem(or(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_3313,c_66]) ).
tcf(c_23981,plain,
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_12,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_1694,c_17881]) ).
tcf(c_24390,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_2188,c_19985]) ).
tcf(c_24618,plain,
! [X0: $i] :
( theorem(or(iPr_def_12,X0))
| ~ theorem(or(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_2361,c_20012]) ).
tcf(c_38204,plain,
theorem(or(q,not(iPr_def_15))),
inference(superposition,[status(thm)],[c_3042,c_24390]) ).
tcf(c_38376,plain,
theorem(or(not(iPr_def_15),q)),
inference(superposition,[status(thm)],[c_38204,c_369]) ).
tcf(c_38379,plain,
theorem(or(iPr_def_17,iPr_def_11)),
inference(backward_subsumption_resolution,[status(thm)],[c_3396,c_38376]) ).
tcf(c_38382,plain,
! [X0: $i] :
( theorem(or(iPr_def_17,X0))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_38379,c_19902]) ).
tcf(c_38661,plain,
theorem(or(iPr_def_12,iPr_def_20)),
inference(superposition,[status(thm)],[c_2602,c_24618]) ).
tcf(c_38822,plain,
! [X0: $i] : theorem(or(X0,iPr_def_21)),
inference(backward_subsumption_resolution,[status(thm)],[c_14487,c_38661]) ).
tcf(c_38828,plain,
theorem(iPr_def_21),
inference(backward_subsumption_resolution,[status(thm)],[c_23981,c_38822]) ).
tcf(c_38851,plain,
~ theorem(iPr_def_18),
inference(backward_subsumption_resolution,[status(thm)],[c_3694,c_38828]) ).
tcf(c_38884,plain,
~ theorem(or(iPr_def_17,iPr_def_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_520,c_38851]) ).
tcf(c_47035,plain,
theorem(or(iPr_def_17,iPr_def_13)),
inference(superposition,[status(thm)],[c_2246,c_38382]) ).
tcf(c_47123,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_47035,c_38884]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL295-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/5.39 % Computer : n016.cluster.edu
% 0.11/5.39 % Model : x86_64 x86_64
% 0.11/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.39 % Memory : 8046.5625MB
% 0.11/5.39 % OS : Linux 6.8.0-71-generic
% 0.11/5.39 % CPULimit : 300
% 0.11/5.39 % WCLimit : 300
% 0.11/5.39 % DateTime : Wed Sep 23 22:50:18 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.16/5.43 Running first-order theorem proving
% 0.16/5.43 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
% 0.16/5.44
% 0.16/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44
% 0.16/5.44 % Detected problem language: tptp
% 0.16/5.46 % Proving...
% 14.92/8.63 % SZS status Started for theBenchmark.p
% 14.92/8.63 % SZS status Unsatisfiable for theBenchmark.p
% 14.92/8.63
% 14.92/8.63 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 14.92/8.63
% 14.92/8.63 % ------ iProver source info
% 14.92/8.63
% 14.92/8.63 % git: date: 2026-07-19 20:42:38 +0200
% 14.92/8.63 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 14.92/8.63 % git: non_committed_changes: false
% 14.92/8.63
% 14.92/8.63 % ------ Parsing...% successful
% 14.92/8.63
% 14.92/8.63
% 14.92/8.63 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 14.92/8.63
% 14.92/8.63 % ------ 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 %
% 14.92/8.63
% 14.92/8.63 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 14.92/8.63
% 14.92/8.63 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 14.92/8.63 % ------ Proving...
% 14.92/8.63 % ------ Problem Properties
% 14.92/8.63
% 14.92/8.63 %
% 14.92/8.63 % clauses 22
% 14.92/8.63 % conjectures 1
% 14.92/8.63 % EPR 1
% 14.92/8.63 % Horn 22
% 14.92/8.63 % unary 21
% 14.92/8.63 % binary 0
% 14.92/8.63 % lits 24
% 14.92/8.63 % lits eq 15
% 14.92/8.63 % fd_pure 0
% 14.92/8.63 % fd_pseudo 0
% 14.92/8.63 % fd_cond 0
% 14.92/8.63 % fd_pseudo_cond 0
% 14.92/8.63 % AC symbols 0
% 14.92/8.63
% 14.92/8.63 % ------ Schedule dynamic 5 is on
% 14.92/8.63
% 14.92/8.63 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 14.92/8.63
% 14.92/8.63
% 14.92/8.63 % ------
% 14.92/8.63 % Current options:
% 14.92/8.63 % ------
% 14.92/8.63
% 14.92/8.63
% 14.92/8.63 %
% 14.92/8.63
% 14.92/8.63 % ------ Proving...
% 14.92/8.63 %
% 14.92/8.63
% 14.92/8.63 % SZS status Unsatisfiable for theBenchmark.p
% 14.92/8.63
% 14.92/8.63 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 14.92/8.63
% 14.92/8.63
%------------------------------------------------------------------------------