%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL309-3 : 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 : n010.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 02:06:19 PM UTC 2026
% Result : Unsatisfiable 130.92s 32.27s
% Output : CNFRefutation 130.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 132 ( 86 unt; 14 def)
% Number of atoms : 377 ( 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 : 9 ( 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 : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 135 ( 0 sgn 135 !; 0 ?; 100 :)
% 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(or(implies(p,q),implies(p,r)),implies(p,or(q,r)))),
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(or(or(not(p),q),or(not(p),r))),or(not(p),or(q,r)))),not(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r))))))),
inference(definition_unfolding,[],[f11,f12,f6,f6,f6]) ).
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(or(not(p),q),or(not(p),r))),or(not(p),or(q,r)))),not(or(not(or(not(p),or(q,r))),or(or(not(p),q),or(not(p),r))))))),
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 = or(iPr_def_10,r),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_147,definition,
iPr_def_13 = or(iPr_def_11,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = or(q,r),
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_14,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_13),
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_149,c_150,c_146,c_144,c_145,c_147,c_148,c_151,c_152,c_156,c_157]) ).
tcf(c_317,plain,
theorem(or(not(r),iPr_def_15)),
inference(superposition,[status(thm)],[c_149,c_101]) ).
tcf(c_340,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_340,c_157]) ).
tcf(c_369,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_370,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_371,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_380,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_382,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_484,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_15)),or(q,or(X0,r)))),
inference(superposition,[status(thm)],[c_149,c_111]) ).
tcf(c_489,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_17)),or(iPr_def_14,or(X0,iPr_def_16)))),
inference(superposition,[status(thm)],[c_151,c_111]) ).
tcf(c_493,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,q))),or(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_145,c_111]) ).
tcf(c_495,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_11,or(X0,iPr_def_12))),or(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_147,c_111]) ).
tcf(c_497,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,or(X0,iPr_def_16))),or(X0,iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_111]) ).
tcf(c_500,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_640,plain,
! [X0: $i] : theorem(or(not(or(not(r),X0)),or(not(iPr_def_12),or(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_146,c_116]) ).
tcf(c_651,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_16)),or(not(or(iPr_def_14,X0)),iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_654,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_1471,plain,
theorem(or(not(or(iPr_def_10,iPr_def_15)),or(q,iPr_def_12))),
inference(superposition,[status(thm)],[c_146,c_484]) ).
tcf(c_1474,plain,
theorem(or(iPr_def_19,or(q,iPr_def_12))),
inference(light_normalisation,[status(thm)],[c_1471,c_150,c_153]) ).
tcf(c_1828,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,or(X0,iPr_def_16)))
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_489,c_66]) ).
tcf(c_1940,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_11))
| ~ theorem(or(iPr_def_10,or(X0,q))) ),
inference(superposition,[status(thm)],[c_493,c_66]) ).
tcf(c_1975,plain,
theorem(or(not(or(iPr_def_11,or(iPr_def_19,iPr_def_12))),iPr_def_20)),
inference(superposition,[status(thm)],[c_154,c_495]) ).
tcf(c_2001,plain,
( theorem(iPr_def_20)
| ~ theorem(or(iPr_def_11,or(iPr_def_19,iPr_def_12))) ),
inference(superposition,[status(thm)],[c_1975,c_66]) ).
tcf(c_2133,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(iPr_def_14,or(X0,iPr_def_16))) ),
inference(superposition,[status(thm)],[c_497,c_66]) ).
tcf(c_2287,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_500]) ).
tcf(c_2288,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_500]) ).
tcf(c_2301,plain,
theorem(or(iPr_def_21,or(iPr_def_23,iPr_def_18))),
inference(superposition,[status(thm)],[c_349,c_500]) ).
tcf(c_2306,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_370,c_500]) ).
tcf(c_2326,plain,
theorem(or(q,or(iPr_def_19,iPr_def_12))),
inference(superposition,[status(thm)],[c_1474,c_500]) ).
tcf(c_2784,plain,
( theorem(or(iPr_def_23,iPr_def_18))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_2301,c_382]) ).
tcf(c_2796,plain,
theorem(or(or(iPr_def_19,iPr_def_12),q)),
inference(superposition,[status(thm)],[c_2326,c_371]) ).
tcf(c_3064,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_2288,c_369]) ).
tcf(c_3084,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_3064,c_500]) ).
tcf(c_3189,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_11))
| ~ theorem(or(X0,q)) ),
inference(superposition,[status(thm)],[c_370,c_1940]) ).
tcf(c_3259,plain,
( theorem(or(iPr_def_18,iPr_def_23))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_2784,c_371]) ).
tcf(c_3513,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,iPr_def_16)) ),
inference(superposition,[status(thm)],[c_370,c_2133]) ).
tcf(c_3619,plain,
( theorem(iPr_def_23)
| ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(superposition,[status(thm)],[c_3259,c_380]) ).
tcf(c_3620,plain,
( ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3619,c_158]) ).
tcf(c_4159,plain,
theorem(or(not(or(not(r),iPr_def_15)),or(not(iPr_def_12),iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_640]) ).
tcf(c_4215,plain,
( theorem(or(not(iPr_def_12),iPr_def_16))
| ~ theorem(or(not(r),iPr_def_15)) ),
inference(superposition,[status(thm)],[c_4159,c_66]) ).
tcf(c_4218,plain,
theorem(or(not(iPr_def_12),iPr_def_16)),
inference(forward_subsumption_resolution,[status(thm)],[c_4215,c_317]) ).
tcf(c_5307,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_3084,c_66]) ).
tcf(c_5308,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(superposition,[status(thm)],[c_3084,c_371]) ).
tcf(c_5410,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_17))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_651,c_66]) ).
tcf(c_5844,plain,
theorem(or(or(iPr_def_19,iPr_def_12),iPr_def_11)),
inference(superposition,[status(thm)],[c_2796,c_3189]) ).
tcf(c_5940,plain,
theorem(or(iPr_def_11,or(iPr_def_19,iPr_def_12))),
inference(superposition,[status(thm)],[c_5844,c_371]) ).
tcf(c_5941,plain,
theorem(iPr_def_20),
inference(backward_subsumption_resolution,[status(thm)],[c_2001,c_5940]) ).
tcf(c_5943,plain,
~ theorem(iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_3620,c_5941]) ).
tcf(c_6053,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_654,c_66]) ).
tcf(c_7858,plain,
theorem(or(not(iPr_def_12),iPr_def_17)),
inference(superposition,[status(thm)],[c_4218,c_3513]) ).
tcf(c_10444,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(or(not(X0),X1),or(not(X0),X1))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2287,c_66]) ).
tcf(c_12021,plain,
! [X0: $i] :
( theorem(iPr_def_17)
| ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_5410,c_66]) ).
tcf(c_12026,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12021,c_5943]) ).
tcf(c_12071,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_14,or(not(X0),iPr_def_16))) ),
inference(superposition,[status(thm)],[c_5307,c_12026]) ).
tcf(c_13787,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_1828,c_12071]) ).
tcf(c_16913,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_7858,c_6053]) ).
tcf(c_24704,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_17),or(not(X0),iPr_def_17))) ),
inference(superposition,[status(thm)],[c_10444,c_13787]) ).
tcf(c_25437,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_17),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_2306,c_24704]) ).
tcf(c_34238,plain,
! [X0: $i] : theorem(or(or(not(or(iPr_def_12,X0)),X0),iPr_def_17)),
inference(superposition,[status(thm)],[c_5308,c_16913]) ).
tcf(c_38914,plain,
~ theorem(or(iPr_def_12,iPr_def_17)),
inference(superposition,[status(thm)],[c_34238,c_25437]) ).
tcf(c_318206,plain,
theorem(or(not(or(r,q)),iPr_def_15)),
inference(superposition,[status(thm)],[c_149,c_106]) ).
tcf(c_319190,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_319205,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_319687,plain,
theorem(or(not(or(not(q),iPr_def_15)),or(not(iPr_def_11),iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_319190]) ).
tcf(c_319698,plain,
( theorem(or(not(iPr_def_11),iPr_def_16))
| ~ theorem(or(not(q),iPr_def_15)) ),
inference(superposition,[status(thm)],[c_319687,c_66]) ).
tcf(c_326966,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_319205,c_66]) ).
tcf(c_327001,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(X0,or(r,q))) ),
inference(superposition,[status(thm)],[c_318206,c_326966]) ).
tcf(c_331589,plain,
theorem(or(not(q),iPr_def_15)),
inference(superposition,[status(thm)],[c_101,c_327001]) ).
tcf(c_331678,plain,
theorem(or(not(iPr_def_11),iPr_def_16)),
inference(backward_subsumption_resolution,[status(thm)],[c_319698,c_331589]) ).
tcf(c_349088,plain,
theorem(or(not(iPr_def_13),or(iPr_def_12,iPr_def_11))),
inference(superposition,[status(thm)],[c_147,c_106]) ).
tcf(c_349106,plain,
theorem(or(iPr_def_14,or(iPr_def_12,iPr_def_11))),
inference(light_normalisation,[status(thm)],[c_349088,c_148]) ).
tcf(c_349125,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_349147,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_349159,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_16)),or(not(or(iPr_def_14,X0)),iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_349162,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_349646,plain,
theorem(or(iPr_def_12,or(iPr_def_14,iPr_def_11))),
inference(superposition,[status(thm)],[c_349106,c_349125]) ).
tcf(c_349970,plain,
theorem(or(not(or(not(q),iPr_def_15)),or(not(iPr_def_11),iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_349147]) ).
tcf(c_350131,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_17))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_349159,c_66]) ).
tcf(c_350190,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_349162,c_66]) ).
tcf(c_351459,plain,
( theorem(or(not(iPr_def_11),iPr_def_16))
| ~ theorem(or(not(q),iPr_def_15)) ),
inference(superposition,[status(thm)],[c_349970,c_66]) ).
tcf(c_351828,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(not(X1),iPr_def_16))
| ~ theorem(or(X0,or(iPr_def_14,X1))) ),
inference(superposition,[status(thm)],[c_350131,c_350190]) ).
tcf(c_353457,plain,
theorem(or(not(iPr_def_11),iPr_def_16)),
inference(global_subsumption_just,[status(thm)],[c_351459,c_331678]) ).
tcf(c_410641,plain,
( theorem(or(iPr_def_12,iPr_def_17))
| ~ theorem(or(not(iPr_def_11),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_349646,c_351828]) ).
tcf(c_410718,plain,
theorem(or(iPr_def_12,iPr_def_17)),
inference(forward_subsumption_resolution,[status(thm)],[c_410641,c_353457]) ).
tcf(c_410778,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_410718,c_38914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL309-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Wed Sep 23 22:48:28 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 130.92/32.27 % SZS status Started for theBenchmark.p
% 130.92/32.27 % SZS status Unsatisfiable for theBenchmark.p
% 130.92/32.27
% 130.92/32.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 130.92/32.27
% 130.92/32.27 % ------ iProver source info
% 130.92/32.27
% 130.92/32.27 % git: date: 2026-07-19 20:42:38 +0200
% 130.92/32.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 130.92/32.27 % git: non_committed_changes: false
% 130.92/32.27
% 130.92/32.27 % ------ Parsing...% successful
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 130.92/32.27
% 130.92/32.27 % ------ 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 %
% 130.92/32.27
% 130.92/32.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 130.92/32.27
% 130.92/32.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 130.92/32.27 % ------ Proving...
% 130.92/32.27 % ------ Problem Properties
% 130.92/32.27
% 130.92/32.27 %
% 130.92/32.27 % clauses 21
% 130.92/32.27 % conjectures 1
% 130.92/32.27 % EPR 1
% 130.92/32.27 % Horn 21
% 130.92/32.27 % unary 20
% 130.92/32.27 % binary 0
% 130.92/32.27 % lits 23
% 130.92/32.27 % lits eq 14
% 130.92/32.27 % fd_pure 0
% 130.92/32.27 % fd_pseudo 0
% 130.92/32.27 % fd_cond 0
% 130.92/32.27 % fd_pseudo_cond 0
% 130.92/32.27 % AC symbols 0
% 130.92/32.27
% 130.92/32.27 % ------ Schedule dynamic 5 is on
% 130.92/32.27
% 130.92/32.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 % ------
% 130.92/32.27 % Current options:
% 130.92/32.27 % ------
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 %
% 130.92/32.27
% 130.92/32.27 % ------ Proving...
% 130.92/32.27 % Proof_search_loop: time out after: 9094 full_loop iterations
% 130.92/32.27
% 130.92/32.27 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 % ------
% 130.92/32.27 % Current options:
% 130.92/32.27 % ------
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 %
% 130.92/32.27
% 130.92/32.27 % ------ Proving...
% 130.92/32.27 % Proof_search_loop: time out after: 10454 full_loop iterations
% 130.92/32.27
% 130.92/32.27 % ------ Option_1: Negative Selections Time Limit: 35.
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 % ------
% 130.92/32.27 % Current options:
% 130.92/32.27 % ------
% 130.92/32.27
% 130.92/32.27
% 130.92/32.27 %
% 130.92/32.27
% 130.92/32.27 % ------ Proving...
% 130.92/32.27 %
% 130.92/32.27
% 130.92/32.27 % SZS status Unsatisfiable for theBenchmark.p
% 130.92/32.27
% 130.92/32.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 130.92/32.27
% 130.92/32.27
%------------------------------------------------------------------------------