%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL293-3 : 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 : 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 02:06:16 PM UTC 2026
% Result : Unsatisfiable 129.78s 31.27s
% Output : CNFRefutation 129.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 273 ( 147 unt; 16 def)
% Number of atoms : 867 ( 20 equ)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 346 ( 183 ~; 163 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 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 : 270 ( 0 sgn 270 !; 0 ?; 235 :)
% 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(and(not(p),not(q))),or(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(not(not(or(not(not(p)),not(not(q)))))),or(p,q))),not(or(not(or(p,q)),not(not(or(not(not(p)),not(not(q)))))))))),
inference(definition_unfolding,[],[f11,f12,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(not(or(not(not(p)),not(not(q)))))),or(p,q))),not(or(not(or(p,q)),not(not(or(not(not(p)),not(not(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 = not(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 = or(iPr_def_11,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 = not(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(p,q),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_153,definition,
iPr_def_19 = or(iPr_def_17,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_16),
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_152,c_146,c_147,c_144,c_145,c_148,c_149,c_150,c_151,c_153,c_154,c_158,c_159]) ).
tcf(c_321,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_144,c_101]) ).
tcf(c_322,plain,
! [X0: $i] : theorem(or(iPr_def_12,or(X0,q))),
inference(superposition,[status(thm)],[c_146,c_101]) ).
tcf(c_324,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_147,c_101]) ).
tcf(c_325,plain,
! [X0: $i] : theorem(or(iPr_def_15,or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_149,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_327,plain,
! [X0: $i] : theorem(or(iPr_def_17,or(X0,iPr_def_16))),
inference(superposition,[status(thm)],[c_151,c_101]) ).
tcf(c_333,plain,
theorem(or(not(iPr_def_13),iPr_def_14)),
inference(superposition,[status(thm)],[c_148,c_101]) ).
tcf(c_352,plain,
theorem(or(not(iPr_def_14),or(iPr_def_13,iPr_def_11))),
inference(superposition,[status(thm)],[c_148,c_106]) ).
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_356,plain,
theorem(or(not(or(q,p)),iPr_def_18)),
inference(superposition,[status(thm)],[c_152,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_364,plain,
theorem(or(iPr_def_15,or(iPr_def_13,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_352,c_149]) ).
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_376,plain,
( theorem(iPr_def_14)
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_333,c_66]) ).
tcf(c_380,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_10)
| ~ theorem(or(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_145,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_386,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_155,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_492,plain,
! [X0: $i] : theorem(or(not(or(p,or(X0,q))),or(X0,iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_111]) ).
tcf(c_493,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_11,or(X0,iPr_def_13))),or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_111]) ).
tcf(c_494,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_17,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
inference(superposition,[status(thm)],[c_153,c_111]) ).
tcf(c_495,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_21,or(X0,iPr_def_16))),or(X0,iPr_def_22))),
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_526,plain,
( theorem(iPr_def_18)
| ~ theorem(or(q,p)) ),
inference(superposition,[status(thm)],[c_356,c_66]) ).
tcf(c_551,plain,
( theorem(iPr_def_19)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_153,c_374]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,iPr_def_10)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_145,c_116]) ).
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_607,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,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_614,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_18),or(p,X0)))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_621,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_18)),or(not(or(iPr_def_17,X0)),iPr_def_19))),
inference(superposition,[status(thm)],[c_153,c_116]) ).
tcf(c_629,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_12,X0)),or(iPr_def_21,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_614,c_146,c_155]) ).
tcf(c_980,plain,
( theorem(iPr_def_13)
| ~ theorem(iPr_def_14)
| ~ theorem(iPr_def_10) ),
inference(superposition,[status(thm)],[c_148,c_380]) ).
tcf(c_1649,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_21,X0)) ),
inference(superposition,[status(thm)],[c_155,c_66]) ).
tcf(c_1798,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(p,or(X0,q))) ),
inference(superposition,[status(thm)],[c_492,c_66]) ).
tcf(c_1886,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(iPr_def_11,or(X0,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_493,c_66]) ).
tcf(c_1893,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_17,or(X0,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_494,c_66]) ).
tcf(c_1900,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_21,or(X0,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_495,c_66]) ).
tcf(c_1917,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(superposition,[status(thm)],[c_96,c_497]) ).
tcf(c_1918,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_497]) ).
tcf(c_1919,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_106,c_497]) ).
tcf(c_1922,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_10,p))),
inference(superposition,[status(thm)],[c_321,c_497]) ).
tcf(c_1923,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_12,q))),
inference(superposition,[status(thm)],[c_322,c_497]) ).
tcf(c_1925,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_13,iPr_def_12))),
inference(superposition,[status(thm)],[c_324,c_497]) ).
tcf(c_1926,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_15,iPr_def_14))),
inference(superposition,[status(thm)],[c_325,c_497]) ).
tcf(c_1927,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))),
inference(superposition,[status(thm)],[c_326,c_497]) ).
tcf(c_1928,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_17,iPr_def_16))),
inference(superposition,[status(thm)],[c_327,c_497]) ).
tcf(c_1933,plain,
theorem(or(iPr_def_23,or(iPr_def_25,iPr_def_20))),
inference(superposition,[status(thm)],[c_361,c_497]) ).
tcf(c_1936,plain,
theorem(or(iPr_def_13,or(iPr_def_15,iPr_def_11))),
inference(superposition,[status(thm)],[c_364,c_497]) ).
tcf(c_1938,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_1948,plain,
! [X0: $i] : theorem(or(X0,or(not(or(iPr_def_21,or(X0,iPr_def_16))),iPr_def_22))),
inference(superposition,[status(thm)],[c_495,c_497]) ).
tcf(c_2139,plain,
theorem(or(iPr_def_10,p)),
inference(superposition,[status(thm)],[c_1922,c_373]) ).
tcf(c_2154,plain,
theorem(or(p,iPr_def_10)),
inference(superposition,[status(thm)],[c_2139,c_375]) ).
tcf(c_2158,plain,
theorem(or(iPr_def_12,q)),
inference(superposition,[status(thm)],[c_1923,c_373]) ).
tcf(c_2173,plain,
theorem(or(q,iPr_def_12)),
inference(superposition,[status(thm)],[c_2158,c_375]) ).
tcf(c_2211,plain,
theorem(or(iPr_def_13,iPr_def_12)),
inference(superposition,[status(thm)],[c_1925,c_373]) ).
tcf(c_2242,plain,
theorem(or(iPr_def_12,iPr_def_13)),
inference(superposition,[status(thm)],[c_2211,c_375]) ).
tcf(c_2328,plain,
theorem(or(iPr_def_15,iPr_def_14)),
inference(superposition,[status(thm)],[c_1926,c_373]) ).
tcf(c_2346,plain,
theorem(or(iPr_def_14,iPr_def_15)),
inference(superposition,[status(thm)],[c_2328,c_375]) ).
tcf(c_2354,plain,
theorem(or(iPr_def_16,iPr_def_15)),
inference(superposition,[status(thm)],[c_1927,c_373]) ).
tcf(c_2372,plain,
theorem(or(iPr_def_15,iPr_def_16)),
inference(superposition,[status(thm)],[c_2354,c_375]) ).
tcf(c_2405,plain,
theorem(or(iPr_def_17,iPr_def_16)),
inference(superposition,[status(thm)],[c_1928,c_373]) ).
tcf(c_2421,plain,
theorem(or(iPr_def_16,iPr_def_17)),
inference(superposition,[status(thm)],[c_2405,c_375]) ).
tcf(c_2468,plain,
! [X0: $i] :
( theorem(or(iPr_def_21,or(p,X0)))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_629,c_66]) ).
tcf(c_2661,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_10)),or(X1,X0)))
| ~ theorem(or(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_605,c_66]) ).
tcf(c_2783,plain,
( theorem(or(iPr_def_25,iPr_def_20))
| ~ theorem(iPr_def_22) ),
inference(superposition,[status(thm)],[c_1933,c_387]) ).
tcf(c_2830,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_2860,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_374,c_1886]) ).
tcf(c_2874,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_374,c_1893]) ).
tcf(c_2889,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_374,c_1900]) ).
tcf(c_2969,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1918,c_373]) ).
tcf(c_3002,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_2969,c_375]) ).
tcf(c_3008,plain,
theorem(or(not(or(iPr_def_15,iPr_def_16)),or(not(or(iPr_def_21,iPr_def_14)),iPr_def_22))),
inference(superposition,[status(thm)],[c_156,c_607]) ).
tcf(c_3010,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_607,c_66]) ).
tcf(c_3065,plain,
( theorem(or(p,iPr_def_22))
| ~ theorem(or(iPr_def_12,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_2468,c_1900]) ).
tcf(c_3208,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_3407,plain,
( theorem(or(iPr_def_20,iPr_def_25))
| ~ theorem(iPr_def_22) ),
inference(superposition,[status(thm)],[c_2783,c_375]) ).
tcf(c_3599,plain,
( theorem(iPr_def_25)
| ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_19) ),
inference(superposition,[status(thm)],[c_3407,c_385]) ).
tcf(c_3600,plain,
( ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_19) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3599,c_160]) ).
tcf(c_4452,plain,
( theorem(or(not(or(iPr_def_21,iPr_def_14)),iPr_def_22))
| ~ theorem(or(iPr_def_15,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_3008,c_66]) ).
tcf(c_4455,plain,
theorem(or(not(or(iPr_def_21,iPr_def_14)),iPr_def_22)),
inference(forward_subsumption_resolution,[status(thm)],[c_4452,c_2372]) ).
tcf(c_4611,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_1919,c_66]) ).
tcf(c_4612,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X0),X1)),
inference(superposition,[status(thm)],[c_1919,c_375]) ).
tcf(c_4876,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_4611,c_66]) ).
tcf(c_4878,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_4611,c_497]) ).
tcf(c_4945,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_16)
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_151,c_4876]) ).
tcf(c_5121,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_17,X0)),iPr_def_19))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_621,c_66]) ).
tcf(c_5624,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_374,c_2860]) ).
tcf(c_5632,plain,
theorem(or(iPr_def_12,iPr_def_14)),
inference(superposition,[status(thm)],[c_2242,c_2860]) ).
tcf(c_6153,plain,
( theorem(iPr_def_16)
| ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_156,c_1649]) ).
tcf(c_6478,plain,
( ~ theorem(iPr_def_18)
| ~ theorem(iPr_def_22) ),
inference(global_subsumption_just,[status(thm)],[c_6153,c_551,c_3600]) ).
tcf(c_6479,plain,
( ~ theorem(iPr_def_22)
| ~ theorem(iPr_def_18) ),
inference(renaming,[status(thm)],[c_6478]) ).
tcf(c_6783,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(iPr_def_16) ),
inference(superposition,[status(thm)],[c_374,c_2889]) ).
tcf(c_7070,plain,
( theorem(iPr_def_22)
| ~ theorem(iPr_def_18)
| ~ theorem(iPr_def_16) ),
inference(superposition,[status(thm)],[c_6783,c_386]) ).
tcf(c_8692,plain,
! [X0: $i] : theorem(or(or(not(or(X0,iPr_def_16)),X0),iPr_def_22)),
inference(superposition,[status(thm)],[c_4612,c_2889]) ).
tcf(c_8694,plain,
! [X0: $i] : theorem(or(or(not(or(X0,iPr_def_18)),X0),iPr_def_19)),
inference(superposition,[status(thm)],[c_4612,c_2874]) ).
tcf(c_8862,plain,
theorem(or(iPr_def_21,or(not(or(iPr_def_22,iPr_def_22)),iPr_def_16))),
inference(superposition,[status(thm)],[c_156,c_1917]) ).
tcf(c_8942,plain,
( theorem(or(not(or(iPr_def_22,iPr_def_22)),iPr_def_16))
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_8862,c_386]) ).
tcf(c_9439,plain,
! [X0: $i] : theorem(or(iPr_def_22,or(not(or(X0,iPr_def_16)),X0))),
inference(superposition,[status(thm)],[c_8692,c_375]) ).
tcf(c_9443,plain,
! [X0: $i] : theorem(or(iPr_def_19,or(not(or(X0,iPr_def_18)),X0))),
inference(superposition,[status(thm)],[c_8694,c_375]) ).
tcf(c_9814,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X2,X1))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_1938,c_66]) ).
tcf(c_10186,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_16)),or(iPr_def_22,X0))),
inference(superposition,[status(thm)],[c_9439,c_497]) ).
tcf(c_10240,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_18)),or(iPr_def_19,X0))),
inference(superposition,[status(thm)],[c_9443,c_497]) ).
tcf(c_10390,plain,
! [X0: $i] :
( theorem(or(iPr_def_22,X0))
| ~ theorem(or(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_10186,c_66]) ).
tcf(c_10399,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,X0))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_10240,c_66]) ).
tcf(c_13213,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_21,or(not(X0),iPr_def_16))),iPr_def_22))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_1948,c_66]) ).
tcf(c_16315,plain,
( theorem(iPr_def_16)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_22,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_8942,c_66]) ).
tcf(c_16362,plain,
( ~ theorem(or(iPr_def_22,iPr_def_22))
| ~ theorem(iPr_def_18) ),
inference(global_subsumption_just,[status(thm)],[c_16315,c_6479,c_7070,c_16315]) ).
tcf(c_16363,plain,
( ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_22,iPr_def_22)) ),
inference(renaming,[status(thm)],[c_16362]) ).
tcf(c_17240,plain,
! [X0: $i] :
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_17,X0))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_5121,c_66]) ).
tcf(c_17573,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,not(not(X0))))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_3002,c_9814]) ).
tcf(c_17642,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_21,iPr_def_14)) ),
inference(superposition,[status(thm)],[c_4455,c_9814]) ).
tcf(c_19659,plain,
! [X0: $i] :
( theorem(or(X0,not(iPr_def_15)))
| ~ theorem(iPr_def_14) ),
inference(superposition,[status(thm)],[c_149,c_17573]) ).
tcf(c_19701,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_16))
| ~ theorem(iPr_def_14) ),
inference(light_normalisation,[status(thm)],[c_19659,c_150]) ).
tcf(c_19931,plain,
! [X0: $i] :
( theorem(or(iPr_def_22,X0))
| ~ theorem(iPr_def_14) ),
inference(superposition,[status(thm)],[c_19701,c_10390]) ).
tcf(c_20916,plain,
( ~ theorem(iPr_def_18)
| ~ theorem(iPr_def_14) ),
inference(superposition,[status(thm)],[c_19931,c_16363]) ).
tcf(c_21633,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_11,X1))
| ~ theorem(or(X0,iPr_def_10)) ),
inference(superposition,[status(thm)],[c_2661,c_66]) ).
tcf(c_21669,plain,
! [X0: $i] :
( theorem(iPr_def_22)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_21,or(not(X0),iPr_def_16))) ),
inference(superposition,[status(thm)],[c_13213,c_66]) ).
tcf(c_23347,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_2830,c_66]) ).
tcf(c_23374,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_3010,c_66]) ).
tcf(c_23887,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_3208,c_66]) ).
tcf(c_25178,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_5624,c_17642]) ).
tcf(c_25190,plain,
! [X0: $i] :
( theorem(or(iPr_def_22,X0))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_25178,c_375]) ).
tcf(c_25940,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,or(iPr_def_22,X1)))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_25190,c_497]) ).
tcf(c_26049,plain,
! [X0: $i] :
( theorem(or(p,X0))
| ~ theorem(or(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_2154,c_21633]) ).
tcf(c_26772,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_13,X0)) ),
inference(superposition,[status(thm)],[c_2173,c_23347]) ).
tcf(c_26967,plain,
( theorem(or(q,p))
| ~ theorem(or(iPr_def_13,p)) ),
inference(instantiation,[status(thm)],[c_26772]) ).
tcf(c_27085,plain,
! [X0: $i] :
( theorem(or(iPr_def_12,X0))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_5632,c_23374]) ).
tcf(c_27715,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_2346,c_23887]) ).
tcf(c_37964,plain,
! [X0: $i,X1: $i] :
( theorem(or(iPr_def_22,X1))
| ~ theorem(iPr_def_13)
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_25940,c_66]) ).
tcf(c_38097,plain,
! [X0: $i] : theorem(or(p,or(not(or(X0,iPr_def_11)),X0))),
inference(superposition,[status(thm)],[c_1919,c_26049]) ).
tcf(c_38182,plain,
( theorem(or(p,iPr_def_13))
| ~ theorem(iPr_def_14) ),
inference(superposition,[status(thm)],[c_148,c_26049]) ).
tcf(c_38854,plain,
( theorem(or(iPr_def_13,p))
| ~ theorem(iPr_def_14) ),
inference(superposition,[status(thm)],[c_38182,c_375]) ).
tcf(c_38864,plain,
~ theorem(iPr_def_13),
inference(global_subsumption_just,[status(thm)],[c_37964,c_376,c_526,c_20916,c_26967,c_38854]) ).
tcf(c_38867,plain,
( ~ theorem(iPr_def_14)
| ~ theorem(iPr_def_10) ),
inference(backward_subsumption_resolution,[status(thm)],[c_980,c_38864]) ).
tcf(c_38872,plain,
~ theorem(iPr_def_14),
inference(global_subsumption_just,[status(thm)],[c_38867,c_526,c_20916,c_26967,c_38854]) ).
tcf(c_40831,plain,
theorem(or(q,or(iPr_def_15,iPr_def_11))),
inference(superposition,[status(thm)],[c_1936,c_26772]) ).
tcf(c_41031,plain,
theorem(or(iPr_def_15,or(q,iPr_def_11))),
inference(superposition,[status(thm)],[c_40831,c_497]) ).
tcf(c_42103,plain,
theorem(or(iPr_def_12,iPr_def_16)),
inference(superposition,[status(thm)],[c_2372,c_27085]) ).
tcf(c_42250,plain,
theorem(or(p,iPr_def_22)),
inference(backward_subsumption_resolution,[status(thm)],[c_3065,c_42103]) ).
tcf(c_44680,plain,
theorem(or(iPr_def_14,iPr_def_17)),
inference(superposition,[status(thm)],[c_2421,c_27715]) ).
tcf(c_44930,plain,
theorem(or(iPr_def_17,iPr_def_14)),
inference(superposition,[status(thm)],[c_44680,c_375]) ).
tcf(c_44931,plain,
( theorem(iPr_def_14)
| ~ theorem(iPr_def_16) ),
inference(superposition,[status(thm)],[c_44680,c_4945]) ).
tcf(c_44932,plain,
~ theorem(iPr_def_16),
inference(forward_subsumption_resolution,[status(thm)],[c_44931,c_38872]) ).
tcf(c_44940,plain,
! [X0: $i] :
( theorem(or(iPr_def_17,X0))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_44930,c_23374]) ).
tcf(c_54947,plain,
theorem(or(not(or(q,iPr_def_11)),iPr_def_18)),
inference(superposition,[status(thm)],[c_38097,c_1798]) ).
tcf(c_54960,plain,
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_17,or(q,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_54947,c_17240]) ).
tcf(c_61214,plain,
theorem(or(iPr_def_17,or(q,iPr_def_11))),
inference(superposition,[status(thm)],[c_41031,c_44940]) ).
tcf(c_61831,plain,
! [X0: $i] :
( theorem(or(p,or(not(or(iPr_def_18,not(X0))),q)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_152,c_4878]) ).
tcf(c_61895,plain,
! [X0: $i] :
( theorem(iPr_def_22)
| ~ theorem(X0)
| ~ theorem(or(or(iPr_def_21,iPr_def_16),not(X0))) ),
inference(superposition,[status(thm)],[c_4878,c_21669]) ).
tcf(c_61897,plain,
! [X0: $i] :
( theorem(iPr_def_22)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_22,not(X0))) ),
inference(light_normalisation,[status(thm)],[c_61895,c_156]) ).
tcf(c_62036,plain,
( theorem(or(p,or(not(or(iPr_def_18,iPr_def_20)),q)))
| ~ theorem(iPr_def_19) ),
inference(superposition,[status(thm)],[c_154,c_61831]) ).
tcf(c_62089,plain,
theorem(or(p,or(not(or(iPr_def_18,iPr_def_20)),q))),
inference(global_subsumption_just,[status(thm)],[c_62036,c_54960,c_61214,c_62036]) ).
tcf(c_62093,plain,
theorem(or(not(or(iPr_def_18,iPr_def_20)),iPr_def_18)),
inference(superposition,[status(thm)],[c_62089,c_1798]) ).
tcf(c_62272,plain,
theorem(or(iPr_def_19,not(or(iPr_def_18,iPr_def_20)))),
inference(superposition,[status(thm)],[c_62093,c_10399]) ).
tcf(c_62367,plain,
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_18,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_62272,c_4876]) ).
tcf(c_62388,plain,
theorem(iPr_def_19),
inference(global_subsumption_just,[status(thm)],[c_62367,c_54960,c_61214]) ).
tcf(c_120824,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_120825,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_120826,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_120834,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_120853,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(iPr_def_20,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_120834,c_62388]) ).
tcf(c_120900,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_21,or(X0,iPr_def_16))),or(X0,iPr_def_22))),
inference(superposition,[status(thm)],[c_156,c_111]) ).
tcf(c_120902,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_120946,plain,
( theorem(iPr_def_22)
| ~ theorem(iPr_def_16) ),
inference(superposition,[status(thm)],[c_156,c_120825]) ).
tcf(c_120952,plain,
~ theorem(iPr_def_16),
inference(global_subsumption_just,[status(thm)],[c_120946,c_44932]) ).
tcf(c_120966,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_120977,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_18),or(p,X0)))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_120992,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_12,X0)),or(iPr_def_21,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_120977,c_146,c_155]) ).
tcf(c_121542,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_21,or(X0,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_120900,c_66]) ).
tcf(c_121619,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_120902]) ).
tcf(c_121620,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_106,c_120902]) ).
tcf(c_121639,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_120825,c_120902]) ).
tcf(c_121751,plain,
! [X0: $i] :
( theorem(or(iPr_def_21,or(p,X0)))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_120992,c_66]) ).
tcf(c_121934,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_120966,c_66]) ).
tcf(c_122276,plain,
( theorem(or(p,iPr_def_22))
| ~ theorem(or(iPr_def_12,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_121751,c_121542]) ).
tcf(c_122471,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_121619,c_120853]) ).
tcf(c_122491,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_122471,c_120902]) ).
tcf(c_123132,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_121620,c_66]) ).
tcf(c_123372,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_123132,c_120902]) ).
tcf(c_125506,plain,
theorem(or(p,iPr_def_22)),
inference(global_subsumption_just,[status(thm)],[c_122276,c_42250]) ).
tcf(c_125508,plain,
theorem(or(iPr_def_22,p)),
inference(superposition,[status(thm)],[c_125506,c_120826]) ).
tcf(c_125515,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_122491,c_66]) ).
tcf(c_125622,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,not(or(not(X0),X1))))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_125515,c_120826]) ).
tcf(c_128355,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_121639,c_120824]) ).
tcf(c_131590,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_10,X1))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_121934,c_66]) ).
tcf(c_132541,plain,
! [X0: $i] :
( theorem(or(iPr_def_22,X0))
| ~ theorem(or(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_125508,c_131590]) ).
tcf(c_138060,plain,
! [X0: $i] : theorem(or(iPr_def_22,or(not(or(iPr_def_10,X0)),X0))),
inference(superposition,[status(thm)],[c_122491,c_132541]) ).
tcf(c_156424,plain,
! [X0: $i] : theorem(or(or(not(or(iPr_def_10,X0)),X0),iPr_def_22)),
inference(superposition,[status(thm)],[c_138060,c_120826]) ).
tcf(c_172246,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_123372,c_66]) ).
tcf(c_175375,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(X0)
| ~ theorem(or(or(not(X0),X1),not(X2))) ),
inference(superposition,[status(thm)],[c_172246,c_66]) ).
tcf(c_188553,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(X1)
| ~ theorem(or(or(iPr_def_21,X0),not(X1))) ),
inference(superposition,[status(thm)],[c_155,c_175375]) ).
tcf(c_189567,plain,
! [X0: $i] :
( theorem(iPr_def_16)
| ~ theorem(iPr_def_18)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_22,not(X0))) ),
inference(superposition,[status(thm)],[c_156,c_188553]) ).
tcf(c_189594,plain,
! [X0: $i] :
( ~ theorem(iPr_def_18)
| ~ theorem(X0)
| ~ theorem(or(iPr_def_22,not(X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_189567,c_120952]) ).
tcf(c_189602,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_22,not(X0)))
| ~ theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_189594,c_3600,c_54960,c_61214,c_61897]) ).
tcf(c_189603,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_22,not(X0))) ),
inference(renaming,[status(thm)],[c_189602]) ).
tcf(c_223469,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_125622,c_189603]) ).
tcf(c_268322,plain,
theorem(or(not(or(iPr_def_10,iPr_def_22)),iPr_def_22)),
inference(superposition,[status(thm)],[c_156424,c_128355]) ).
tcf(c_270211,plain,
~ theorem(or(iPr_def_10,iPr_def_22)),
inference(superposition,[status(thm)],[c_268322,c_223469]) ).
tcf(c_301838,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_301843,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_145,c_101]) ).
tcf(c_301846,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_150,c_101]) ).
tcf(c_301873,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_301887,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_11,or(X0,iPr_def_13))),or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_111]) ).
tcf(c_301891,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_301919,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_16)),or(not(or(iPr_def_21,X0)),iPr_def_22))),
inference(superposition,[status(thm)],[c_156,c_116]) ).
tcf(c_301921,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_302247,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))),
inference(superposition,[status(thm)],[c_301846,c_301891]) ).
tcf(c_302764,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_21,X0)),iPr_def_22))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_301919,c_66]) ).
tcf(c_302807,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_301921,c_66]) ).
tcf(c_303190,plain,
theorem(or(iPr_def_16,iPr_def_15)),
inference(superposition,[status(thm)],[c_302247,c_301838]) ).
tcf(c_303223,plain,
theorem(or(iPr_def_15,iPr_def_16)),
inference(superposition,[status(thm)],[c_303190,c_301873]) ).
tcf(c_304172,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_302807]) ).
tcf(c_304188,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,or(X1,iPr_def_14)))
| ~ theorem(or(X0,or(iPr_def_11,or(X1,iPr_def_13)))) ),
inference(superposition,[status(thm)],[c_301887,c_302807]) ).
tcf(c_304293,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(not(X1),iPr_def_16))
| ~ theorem(or(X0,or(iPr_def_21,X1))) ),
inference(superposition,[status(thm)],[c_302764,c_302807]) ).
tcf(c_314802,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(iPr_def_10,X0))),
inference(superposition,[status(thm)],[c_301843,c_304172]) ).
tcf(c_318422,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(iPr_def_11,X0))),
inference(superposition,[status(thm)],[c_314802,c_301891]) ).
tcf(c_337458,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_318422,c_304188]) ).
tcf(c_368429,plain,
( theorem(or(iPr_def_10,iPr_def_22))
| ~ theorem(or(not(iPr_def_14),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_337458,c_304293]) ).
tcf(c_368450,plain,
( theorem(or(iPr_def_10,iPr_def_22))
| ~ theorem(or(iPr_def_15,iPr_def_16)) ),
inference(light_normalisation,[status(thm)],[c_368429,c_149]) ).
tcf(c_368451,plain,
theorem(or(iPr_def_10,iPr_def_22)),
inference(forward_subsumption_resolution,[status(thm)],[c_368450,c_303223]) ).
tcf(c_368560,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_368451,c_270211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LCL293-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n016.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Wed Sep 23 22:49:43 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.43 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.21/0.47 Running first-order theorem proving
% 0.21/0.47 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
% 0.21/0.49
% 0.21/0.49 % ======== iProver multi-core TPTP/SMT =========
% 0.21/0.49
% 0.21/0.49 % Detected problem language: tptp
% 0.21/0.51 % Proving...
% 129.78/31.27 % SZS status Started for theBenchmark.p
% 129.78/31.27 % SZS status Unsatisfiable for theBenchmark.p
% 129.78/31.27
% 129.78/31.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 129.78/31.27
% 129.78/31.27 % ------ iProver source info
% 129.78/31.27
% 129.78/31.27 % git: date: 2026-07-19 20:42:38 +0200
% 129.78/31.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 129.78/31.27 % git: non_committed_changes: false
% 129.78/31.27
% 129.78/31.27 % ------ Parsing...% successful
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 129.78/31.27
% 129.78/31.27 % ------ 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 %
% 129.78/31.27
% 129.78/31.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 129.78/31.27
% 129.78/31.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 129.78/31.27 % ------ Proving...
% 129.78/31.27 % ------ Problem Properties
% 129.78/31.27
% 129.78/31.27 %
% 129.78/31.27 % clauses 23
% 129.78/31.27 % conjectures 1
% 129.78/31.27 % EPR 1
% 129.78/31.27 % Horn 23
% 129.78/31.27 % unary 22
% 129.78/31.27 % binary 0
% 129.78/31.27 % lits 25
% 129.78/31.27 % lits eq 16
% 129.78/31.27 % fd_pure 0
% 129.78/31.27 % fd_pseudo 0
% 129.78/31.27 % fd_cond 0
% 129.78/31.27 % fd_pseudo_cond 0
% 129.78/31.27 % AC symbols 0
% 129.78/31.27
% 129.78/31.27 % ------ Schedule dynamic 5 is on
% 129.78/31.27
% 129.78/31.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 % ------
% 129.78/31.27 % Current options:
% 129.78/31.27 % ------
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 %
% 129.78/31.27
% 129.78/31.27 % ------ Proving...
% 129.78/31.27 % Proof_search_loop: time out after: 6053 full_loop iterations
% 129.78/31.27
% 129.78/31.27 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 % ------
% 129.78/31.27 % Current options:
% 129.78/31.27 % ------
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 %
% 129.78/31.27
% 129.78/31.27 % ------ Proving...
% 129.78/31.27 % Proof_search_loop: time out after: 9434 full_loop iterations
% 129.78/31.27
% 129.78/31.27 % ------ Option_1: Negative Selections Time Limit: 35.
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 % ------
% 129.78/31.27 % Current options:
% 129.78/31.27 % ------
% 129.78/31.27
% 129.78/31.27
% 129.78/31.27 %
% 129.78/31.27
% 129.78/31.27 % ------ Proving...
% 129.78/31.27 %
% 129.78/31.27
% 129.78/31.27 % SZS status Unsatisfiable for theBenchmark.p
% 129.78/31.27
% 129.78/31.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 129.78/31.28
% 129.78/31.28
%------------------------------------------------------------------------------