%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL299-3 : 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 : n011.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 10.32s 7.73s
% Output : CNFRefutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of formulae : 125 ( 90 unt; 16 def)
% Number of atoms : 355 ( 20 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 : 20 ( 18 usr; 17 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/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(not(implies(not(p),q)),and(not(p),not(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(not(or(not(not(p)),q))),not(or(not(not(p)),not(not(q)))))),not(or(not(not(or(not(not(p)),not(not(q))))),not(or(not(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(not(p)),q))),not(or(not(not(p)),not(not(q)))))),not(or(not(not(or(not(not(p)),not(not(q))))),not(or(not(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 = not(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,definition,
iPr_def_12 = or(iPr_def_11,q),
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 = not(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,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 = or(iPr_def_14,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 = not(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,definition,
iPr_def_22 = or(iPr_def_21,iPr_def_13),
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,definition,
iPr_def_24 = or(iPr_def_20,iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_159,definition,
iPr_def_25 = not(iPr_def_24),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_160,negated_conjecture,
~ theorem(iPr_def_25),
inference(demodulation,[status(thm)],[c_67,c_155,c_156,c_157,c_149,c_150,c_151,c_152,c_144,c_145,c_146,c_147,c_148,c_153,c_154,c_158,c_159]) ).
tcf(c_322,plain,
! [X0: $i] : theorem(or(iPr_def_15,or(X0,q))),
inference(superposition,[status(thm)],[c_149,c_101]) ).
tcf(c_325,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_148,c_101]) ).
tcf(c_326,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_150,c_101]) ).
tcf(c_329,plain,
! [X0: $i] : theorem(or(iPr_def_21,or(X0,iPr_def_18))),
inference(superposition,[status(thm)],[c_155,c_101]) ).
tcf(c_355,plain,
theorem(or(not(iPr_def_24),or(iPr_def_23,iPr_def_20))),
inference(superposition,[status(thm)],[c_158,c_106]) ).
tcf(c_358,plain,
theorem(or(not(or(iPr_def_18,iPr_def_14)),iPr_def_19)),
inference(superposition,[status(thm)],[c_153,c_106]) ).
tcf(c_359,plain,
theorem(or(not(or(iPr_def_13,iPr_def_21)),iPr_def_22)),
inference(superposition,[status(thm)],[c_156,c_106]) ).
tcf(c_361,plain,
theorem(or(iPr_def_25,or(iPr_def_23,iPr_def_20))),
inference(light_normalisation,[status(thm)],[c_355,c_159]) ).
tcf(c_373,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_374,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_375,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_385,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_19)
| ~ theorem(or(iPr_def_20,X0)) ),
inference(superposition,[status(thm)],[c_154,c_66]) ).
tcf(c_387,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_22)
| ~ theorem(or(iPr_def_23,X0)) ),
inference(superposition,[status(thm)],[c_157,c_66]) ).
tcf(c_490,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_22)),or(iPr_def_21,or(X0,iPr_def_13)))),
inference(superposition,[status(thm)],[c_156,c_111]) ).
tcf(c_497,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_532,plain,
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_18,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_358,c_66]) ).
tcf(c_606,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_608,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_609,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_614,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_12),or(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_146,c_116]) ).
tcf(c_615,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_16),X0)),or(not(iPr_def_17),or(iPr_def_11,X0)))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_622,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_13)),or(not(or(iPr_def_21,X0)),iPr_def_22))),
inference(superposition,[status(thm)],[c_156,c_116]) ).
tcf(c_628,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_16),X0)),or(iPr_def_18,or(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_615,c_152]) ).
tcf(c_629,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_15,X0)),or(iPr_def_13,or(iPr_def_11,X0)))),
inference(light_normalisation,[status(thm)],[c_614,c_147,c_149]) ).
tcf(c_1796,plain,
! [X0: $i] :
( theorem(or(iPr_def_21,or(X0,iPr_def_13)))
| ~ theorem(or(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_490,c_66]) ).
tcf(c_1947,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_497]) ).
tcf(c_1952,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_15,q))),
inference(superposition,[status(thm)],[c_322,c_497]) ).
tcf(c_1955,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,iPr_def_13))),
inference(superposition,[status(thm)],[c_325,c_497]) ).
tcf(c_1956,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))),
inference(superposition,[status(thm)],[c_326,c_497]) ).
tcf(c_1959,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_21,iPr_def_18))),
inference(superposition,[status(thm)],[c_329,c_497]) ).
tcf(c_1962,plain,
theorem(or(iPr_def_23,or(iPr_def_25,iPr_def_20))),
inference(superposition,[status(thm)],[c_361,c_497]) ).
tcf(c_1967,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_374,c_497]) ).
tcf(c_2183,plain,
theorem(or(iPr_def_15,q)),
inference(superposition,[status(thm)],[c_1952,c_373]) ).
tcf(c_2198,plain,
theorem(or(q,iPr_def_15)),
inference(superposition,[status(thm)],[c_2183,c_375]) ).
tcf(c_2305,plain,
theorem(or(not(or(iPr_def_15,iPr_def_16)),or(iPr_def_13,iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_629]) ).
tcf(c_2317,plain,
( theorem(or(iPr_def_13,iPr_def_17))
| ~ theorem(or(iPr_def_15,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_2305,c_66]) ).
tcf(c_2363,plain,
theorem(or(iPr_def_14,iPr_def_13)),
inference(superposition,[status(thm)],[c_1955,c_373]) ).
tcf(c_2379,plain,
theorem(or(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_2363,c_375]) ).
tcf(c_2418,plain,
theorem(or(iPr_def_16,iPr_def_15)),
inference(superposition,[status(thm)],[c_1956,c_373]) ).
tcf(c_2433,plain,
theorem(or(iPr_def_15,iPr_def_16)),
inference(superposition,[status(thm)],[c_2418,c_375]) ).
tcf(c_2435,plain,
theorem(or(iPr_def_13,iPr_def_17)),
inference(backward_subsumption_resolution,[status(thm)],[c_2317,c_2433]) ).
tcf(c_2663,plain,
theorem(or(iPr_def_21,iPr_def_18)),
inference(superposition,[status(thm)],[c_1959,c_373]) ).
tcf(c_2678,plain,
theorem(or(iPr_def_18,iPr_def_21)),
inference(superposition,[status(thm)],[c_2663,c_375]) ).
tcf(c_2849,plain,
( theorem(or(iPr_def_25,iPr_def_20))
| ~ theorem(iPr_def_22) ),
inference(superposition,[status(thm)],[c_1962,c_387]) ).
tcf(c_2905,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_606,c_66]) ).
tcf(c_3146,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1947,c_373]) ).
tcf(c_3179,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_3146,c_375]) ).
tcf(c_3262,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_608,c_66]) ).
tcf(c_3310,plain,
theorem(or(not(or(not(iPr_def_16),q)),or(iPr_def_18,iPr_def_12))),
inference(superposition,[status(thm)],[c_146,c_628]) ).
tcf(c_3334,plain,
( theorem(or(iPr_def_18,iPr_def_12))
| ~ theorem(or(not(iPr_def_16),q)) ),
inference(superposition,[status(thm)],[c_3310,c_66]) ).
tcf(c_3588,plain,
( theorem(or(iPr_def_20,iPr_def_25))
| ~ theorem(iPr_def_22) ),
inference(superposition,[status(thm)],[c_2849,c_375]) ).
tcf(c_3613,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_609,c_66]) ).
tcf(c_3781,plain,
( theorem(iPr_def_25)
| ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_19) ),
inference(superposition,[status(thm)],[c_3588,c_385]) ).
tcf(c_3782,plain,
( ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3781,c_160]) ).
tcf(c_5287,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_21,X0)),iPr_def_22))
| ~ theorem(or(not(X0),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_622,c_66]) ).
tcf(c_9877,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_1967,c_66]) ).
tcf(c_15724,plain,
! [X0: $i] :
( theorem(iPr_def_22)
| ~ theorem(or(iPr_def_21,X0))
| ~ theorem(or(not(X0),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_5287,c_66]) ).
tcf(c_15801,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_13,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_359,c_9877]) ).
tcf(c_19968,plain,
( theorem(iPr_def_22)
| ~ theorem(or(iPr_def_21,or(iPr_def_13,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_96,c_15724]) ).
tcf(c_20961,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_2905,c_66]) ).
tcf(c_21166,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_3262,c_66]) ).
tcf(c_21193,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_3613,c_66]) ).
tcf(c_24951,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_2198,c_21166]) ).
tcf(c_25275,plain,
! [X0: $i] :
( theorem(or(iPr_def_13,X0))
| ~ theorem(or(iPr_def_18,X0)) ),
inference(superposition,[status(thm)],[c_2435,c_21193]) ).
tcf(c_32794,plain,
( theorem(iPr_def_22)
| ~ theorem(or(iPr_def_13,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_1796,c_19968]) ).
tcf(c_41282,plain,
theorem(or(q,not(iPr_def_16))),
inference(superposition,[status(thm)],[c_3179,c_24951]) ).
tcf(c_41447,plain,
theorem(or(not(iPr_def_16),q)),
inference(superposition,[status(thm)],[c_41282,c_375]) ).
tcf(c_41450,plain,
theorem(or(iPr_def_18,iPr_def_12)),
inference(backward_subsumption_resolution,[status(thm)],[c_3334,c_41447]) ).
tcf(c_41458,plain,
! [X0: $i] :
( theorem(or(iPr_def_18,X0))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_41450,c_20961]) ).
tcf(c_41795,plain,
theorem(or(iPr_def_13,iPr_def_21)),
inference(superposition,[status(thm)],[c_2678,c_25275]) ).
tcf(c_41947,plain,
! [X0: $i] : theorem(or(X0,iPr_def_22)),
inference(backward_subsumption_resolution,[status(thm)],[c_15801,c_41795]) ).
tcf(c_41951,plain,
theorem(iPr_def_22),
inference(backward_subsumption_resolution,[status(thm)],[c_32794,c_41947]) ).
tcf(c_41973,plain,
~ theorem(iPr_def_19),
inference(backward_subsumption_resolution,[status(thm)],[c_3782,c_41951]) ).
tcf(c_42006,plain,
~ theorem(or(iPr_def_18,iPr_def_14)),
inference(backward_subsumption_resolution,[status(thm)],[c_532,c_41973]) ).
tcf(c_52570,plain,
theorem(or(iPr_def_18,iPr_def_14)),
inference(superposition,[status(thm)],[c_2379,c_41458]) ).
tcf(c_52666,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_52570,c_42006]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL299-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.35 % Computer : n011.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Wed Sep 23 22:46:19 UTC 2026
% 0.09/5.36 % CPUTime :
% 0.09/5.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/5.40 Running first-order theorem proving
% 0.14/5.40 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
% 0.14/5.41
% 0.14/5.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.41
% 0.14/5.41 % Detected problem language: tptp
% 0.14/5.42 % Proving...
% 10.32/7.73 % SZS status Started for theBenchmark.p
% 10.32/7.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.32/7.73
% 10.32/7.73 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 10.32/7.73
% 10.32/7.73 % ------ iProver source info
% 10.32/7.73
% 10.32/7.73 % git: date: 2026-07-19 20:42:38 +0200
% 10.32/7.73 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 10.32/7.73 % git: non_committed_changes: false
% 10.32/7.73
% 10.32/7.73 % ------ Parsing...% successful
% 10.32/7.73
% 10.32/7.73
% 10.32/7.73 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 10.32/7.73
% 10.32/7.73 % ------ 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 %
% 10.32/7.73
% 10.32/7.73 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 10.32/7.73
% 10.32/7.73 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.32/7.73 % ------ Proving...
% 10.32/7.73 % ------ Problem Properties
% 10.32/7.73
% 10.32/7.73 %
% 10.32/7.73 % clauses 23
% 10.32/7.73 % conjectures 1
% 10.32/7.73 % EPR 1
% 10.32/7.73 % Horn 23
% 10.32/7.73 % unary 22
% 10.32/7.73 % binary 0
% 10.32/7.73 % lits 25
% 10.32/7.73 % lits eq 16
% 10.32/7.73 % fd_pure 0
% 10.32/7.73 % fd_pseudo 0
% 10.32/7.73 % fd_cond 0
% 10.32/7.73 % fd_pseudo_cond 0
% 10.32/7.73 % AC symbols 0
% 10.32/7.73
% 10.32/7.73 % ------ Schedule dynamic 5 is on
% 10.32/7.73
% 10.32/7.73 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.32/7.73
% 10.32/7.73
% 10.32/7.73 % ------
% 10.32/7.73 % Current options:
% 10.32/7.73 % ------
% 10.32/7.73
% 10.32/7.73
% 10.32/7.73 %
% 10.32/7.73
% 10.32/7.73 % ------ Proving...
% 10.32/7.73 %
% 10.32/7.73
% 10.32/7.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.32/7.73
% 10.32/7.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.32/7.73
% 10.32/7.73
%------------------------------------------------------------------------------