%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL243-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:06:09 PM UTC 2026
% Result : Unsatisfiable 153.46s 27.43s
% Output : CNFRefutation 153.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 178 ( 98 unt; 10 def)
% Number of atoms : 499 ( 12 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 199 ( 105 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 14 ( 12 usr; 11 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 214 ( 0 sgn 214 !; 0 ?; 183 :)
% 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,negated_conjecture,
~ theorem(implies(implies(p,implies(q,r)),implies(and(p,q),r))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f11,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f13,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f14,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f15,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(f16,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f17,plain,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))),
inference(definition_unfolding,[],[f10,f6,f6,f6,f6,f9]) ).
tcf(c_59,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f14]) ).
tcf(c_63,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,[],[f15]) ).
tcf(c_64,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_66,negated_conjecture,
~ theorem(or(not(or(not(p),or(not(q),r))),or(not(not(or(not(p),not(q)))),r))),
inference(cnf_transformation,[],[f17]) ).
tcf(c_95,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[status(thm)],[c_64,c_59]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_64,c_60]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_64,c_61]) ).
tcf(c_110,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_64,c_62]) ).
tcf(c_115,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_64,c_63]) ).
tcf(c_143,definition,
iPr_def_10 = not(p),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_144,definition,
iPr_def_11 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_145,definition,
iPr_def_12 = or(iPr_def_11,r),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_146,definition,
iPr_def_13 = or(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_147,definition,
iPr_def_14 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_148,definition,
iPr_def_15 = or(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_149,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_150,definition,
iPr_def_17 = not(iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_151,definition,
iPr_def_18 = or(iPr_def_17,r),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_152,definition,
iPr_def_19 = or(iPr_def_14,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_153,negated_conjecture,
~ theorem(iPr_def_19),
inference(demodulation,[status(thm)],[c_66,c_148,c_149,c_150,c_151,c_144,c_145,c_143,c_146,c_147,c_152]) ).
tcf(c_293,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_322,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(X0,q))),
inference(superposition,[status(thm)],[c_144,c_100]) ).
tcf(c_324,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_149,c_100]) ).
tcf(c_325,plain,
! [X0: $i] : theorem(or(iPr_def_17,or(X0,iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_100]) ).
tcf(c_331,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_100,c_65]) ).
tcf(c_378,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_454,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_11))),or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_148,c_110]) ).
tcf(c_456,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_457,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_659,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_149,c_115]) ).
tcf(c_660,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_150,c_115]) ).
tcf(c_662,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_12),X0)),or(not(iPr_def_13),or(iPr_def_10,X0)))),
inference(superposition,[status(thm)],[c_146,c_115]) ).
tcf(c_671,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_115,c_65]) ).
tcf(c_674,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_12),X0)),or(iPr_def_14,or(iPr_def_10,X0)))),
inference(light_normalisation,[status(thm)],[c_662,c_147]) ).
tcf(c_1437,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_454,c_65]) ).
tcf(c_1468,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_14,or(X0,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_456,c_65]) ).
tcf(c_1698,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_457]) ).
tcf(c_1701,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(not(or(X0,X1)),or(not(or(not(X1),X2)),or(X0,X2)))),
inference(superposition,[status(thm)],[c_115,c_457]) ).
tcf(c_1703,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_11,q))),
inference(superposition,[status(thm)],[c_322,c_457]) ).
tcf(c_1705,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))),
inference(superposition,[status(thm)],[c_324,c_457]) ).
tcf(c_1706,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_17,iPr_def_16))),
inference(superposition,[status(thm)],[c_325,c_457]) ).
tcf(c_1877,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_331,c_1437]) ).
tcf(c_1932,plain,
theorem(or(iPr_def_11,q)),
inference(superposition,[status(thm)],[c_1703,c_293]) ).
tcf(c_1942,plain,
theorem(or(q,iPr_def_11)),
inference(superposition,[status(thm)],[c_1932,c_378]) ).
tcf(c_1958,plain,
theorem(or(iPr_def_16,iPr_def_15)),
inference(superposition,[status(thm)],[c_1705,c_293]) ).
tcf(c_1968,plain,
theorem(or(iPr_def_15,iPr_def_16)),
inference(superposition,[status(thm)],[c_1958,c_378]) ).
tcf(c_1985,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_331,c_1468]) ).
tcf(c_2052,plain,
theorem(or(iPr_def_17,iPr_def_16)),
inference(superposition,[status(thm)],[c_1706,c_293]) ).
tcf(c_2070,plain,
theorem(or(iPr_def_16,iPr_def_17)),
inference(superposition,[status(thm)],[c_2052,c_378]) ).
tcf(c_2137,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,or(iPr_def_10,X0)))
| ~ theorem(or(not(iPr_def_12),X0)) ),
inference(superposition,[status(thm)],[c_674,c_65]) ).
tcf(c_2250,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1698,c_293]) ).
tcf(c_2270,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_2250,c_378]) ).
tcf(c_2513,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_659,c_65]) ).
tcf(c_2585,plain,
( theorem(or(iPr_def_10,iPr_def_19))
| ~ theorem(or(not(iPr_def_12),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_2137,c_1468]) ).
tcf(c_2718,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_660,c_65]) ).
tcf(c_3561,plain,
theorem(or(q,iPr_def_15)),
inference(superposition,[status(thm)],[c_1942,c_1877]) ).
tcf(c_4514,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_671,c_65]) ).
tcf(c_7961,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_2513,c_65]) ).
tcf(c_7983,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_2718,c_65]) ).
tcf(c_9571,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_3561,c_7961]) ).
tcf(c_10341,plain,
! [X0: $i] :
( theorem(or(iPr_def_15,X0))
| ~ theorem(or(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_1968,c_7983]) ).
tcf(c_11720,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(not(X1),X2)),or(X0,X2)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_1701,c_65]) ).
tcf(c_13928,plain,
theorem(or(q,iPr_def_17)),
inference(superposition,[status(thm)],[c_2070,c_9571]) ).
tcf(c_14024,plain,
theorem(or(iPr_def_17,q)),
inference(superposition,[status(thm)],[c_13928,c_378]) ).
tcf(c_14610,plain,
! [X0: $i] :
( theorem(or(not(or(not(X0),r)),iPr_def_18))
| ~ theorem(or(iPr_def_17,X0)) ),
inference(superposition,[status(thm)],[c_151,c_11720]) ).
tcf(c_16486,plain,
( theorem(or(not(or(iPr_def_11,r)),iPr_def_18))
| ~ theorem(or(iPr_def_17,q)) ),
inference(superposition,[status(thm)],[c_144,c_14610]) ).
tcf(c_16503,plain,
( theorem(or(not(iPr_def_12),iPr_def_18))
| ~ theorem(or(iPr_def_17,q)) ),
inference(light_normalisation,[status(thm)],[c_16486,c_145]) ).
tcf(c_16504,plain,
theorem(or(not(iPr_def_12),iPr_def_18)),
inference(forward_subsumption_resolution,[status(thm)],[c_16503,c_14024]) ).
tcf(c_16527,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_16504,c_4514]) ).
tcf(c_16953,plain,
theorem(or(iPr_def_15,not(iPr_def_17))),
inference(superposition,[status(thm)],[c_2270,c_10341]) ).
tcf(c_16997,plain,
theorem(or(not(iPr_def_17),iPr_def_15)),
inference(superposition,[status(thm)],[c_16953,c_378]) ).
tcf(c_17004,plain,
! [X0: $i] :
( theorem(or(not(iPr_def_17),X0))
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_16997,c_7961]) ).
tcf(c_21789,plain,
( theorem(or(iPr_def_10,iPr_def_18))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_146,c_16527]) ).
tcf(c_21880,plain,
( theorem(or(iPr_def_10,iPr_def_19))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_21789,c_1985]) ).
tcf(c_21995,plain,
theorem(or(iPr_def_10,iPr_def_19)),
inference(global_subsumption_just,[status(thm)],[c_21880,c_2585,c_16504]) ).
tcf(c_21998,plain,
theorem(or(iPr_def_19,iPr_def_10)),
inference(superposition,[status(thm)],[c_21995,c_378]) ).
tcf(c_34385,plain,
( theorem(or(not(iPr_def_17),iPr_def_19))
| ~ theorem(or(iPr_def_16,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_17004,c_1985]) ).
tcf(c_56891,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_16,iPr_def_18))
| ~ theorem(or(X0,iPr_def_17)) ),
inference(superposition,[status(thm)],[c_34385,c_4514]) ).
tcf(c_56902,plain,
( theorem(or(p,iPr_def_19))
| ~ theorem(or(iPr_def_16,iPr_def_18))
| ~ theorem(or(p,iPr_def_17)) ),
inference(instantiation,[status(thm)],[c_56891]) ).
tcf(c_107699,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_107700,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_100,c_65]) ).
tcf(c_107701,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_107708,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(q)
| ~ theorem(or(iPr_def_11,X0)) ),
inference(superposition,[status(thm)],[c_144,c_65]) ).
tcf(c_107752,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_19)),or(iPr_def_14,or(X0,iPr_def_18)))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_107756,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_17,or(X0,r))),or(X0,iPr_def_18))),
inference(superposition,[status(thm)],[c_151,c_110]) ).
tcf(c_107757,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,or(X0,iPr_def_18))),or(X0,iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_110]) ).
tcf(c_107758,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_107865,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_143,c_115]) ).
tcf(c_107879,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_18)),or(not(or(iPr_def_14,X0)),iPr_def_19))),
inference(superposition,[status(thm)],[c_152,c_115]) ).
tcf(c_107880,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_115,c_65]) ).
tcf(c_108259,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,or(X0,iPr_def_18)))
| ~ theorem(or(X0,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_107752,c_65]) ).
tcf(c_108339,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(iPr_def_17,or(X0,r))) ),
inference(superposition,[status(thm)],[c_107756,c_65]) ).
tcf(c_108368,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(iPr_def_14,or(X0,iPr_def_18))) ),
inference(superposition,[status(thm)],[c_107757,c_65]) ).
tcf(c_108472,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(superposition,[status(thm)],[c_95,c_107758]) ).
tcf(c_108473,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_107758]) ).
tcf(c_108474,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_105,c_107758]) ).
tcf(c_108482,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_107700,c_107758]) ).
tcf(c_108746,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,r)) ),
inference(superposition,[status(thm)],[c_107700,c_108339]) ).
tcf(c_108757,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_19))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_107700,c_108368]) ).
tcf(c_108884,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_107865,c_65]) ).
tcf(c_108943,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_108473,c_107699]) ).
tcf(c_108961,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_108943,c_107758]) ).
tcf(c_109311,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X0),X1)),
inference(superposition,[status(thm)],[c_108474,c_107701]) ).
tcf(c_110766,plain,
theorem(or(iPr_def_11,or(not(iPr_def_12),r))),
inference(superposition,[status(thm)],[c_145,c_108961]) ).
tcf(c_110771,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_108961,c_65]) ).
tcf(c_110775,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(superposition,[status(thm)],[c_108961,c_107701]) ).
tcf(c_110842,plain,
( theorem(or(not(iPr_def_12),r))
| ~ theorem(q) ),
inference(superposition,[status(thm)],[c_110766,c_107708]) ).
tcf(c_110932,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_19))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_107879,c_65]) ).
tcf(c_111067,plain,
( theorem(or(not(iPr_def_12),iPr_def_18))
| ~ theorem(q) ),
inference(superposition,[status(thm)],[c_110842,c_108746]) ).
tcf(c_111100,plain,
theorem(or(not(iPr_def_12),iPr_def_18)),
inference(global_subsumption_just,[status(thm)],[c_111067,c_16504]) ).
tcf(c_111131,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_107880,c_65]) ).
tcf(c_111277,plain,
! [X0: $i] : theorem(or(or(not(or(X0,iPr_def_18)),X0),iPr_def_19)),
inference(superposition,[status(thm)],[c_109311,c_108757]) ).
tcf(c_111575,plain,
! [X0: $i] : theorem(or(iPr_def_19,or(not(or(X0,iPr_def_18)),X0))),
inference(superposition,[status(thm)],[c_111277,c_107701]) ).
tcf(c_111665,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_18)),or(iPr_def_19,X0))),
inference(superposition,[status(thm)],[c_111575,c_107758]) ).
tcf(c_112231,plain,
! [X0: $i] :
( theorem(iPr_def_19)
| ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(superposition,[status(thm)],[c_110932,c_65]) ).
tcf(c_112235,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_18)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_112231,c_153]) ).
tcf(c_112257,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_14,or(not(X0),iPr_def_18))) ),
inference(superposition,[status(thm)],[c_110771,c_112235]) ).
tcf(c_112464,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_19)) ),
inference(superposition,[status(thm)],[c_108259,c_112257]) ).
tcf(c_112795,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_10,X1))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_108884,c_65]) ).
tcf(c_113270,plain,
! [X0: $i,X1: $i] :
( theorem(or(or(not(or(p,X1)),X1),X0))
| ~ theorem(or(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_110775,c_112795]) ).
tcf(c_114667,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_111100,c_111131]) ).
tcf(c_115661,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,X0))
| ~ theorem(or(X0,iPr_def_18)) ),
inference(superposition,[status(thm)],[c_111665,c_65]) ).
tcf(c_115782,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_108472,c_65]) ).
tcf(c_119901,plain,
( theorem(or(iPr_def_10,iPr_def_18))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_146,c_114667]) ).
tcf(c_120000,plain,
( theorem(or(iPr_def_19,iPr_def_10))
| ~ theorem(iPr_def_13) ),
inference(superposition,[status(thm)],[c_119901,c_115661]) ).
tcf(c_120253,plain,
theorem(or(iPr_def_19,iPr_def_10)),
inference(global_subsumption_just,[status(thm)],[c_120000,c_21998]) ).
tcf(c_120255,plain,
theorem(or(iPr_def_10,iPr_def_19)),
inference(superposition,[status(thm)],[c_120253,c_107701]) ).
tcf(c_122757,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_19),or(not(X0),iPr_def_19))) ),
inference(superposition,[status(thm)],[c_115782,c_112464]) ).
tcf(c_123116,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_19),iPr_def_19)) ),
inference(superposition,[status(thm)],[c_108482,c_122757]) ).
tcf(c_225868,plain,
( ~ theorem(or(iPr_def_10,iPr_def_19))
| ~ theorem(or(p,iPr_def_19)) ),
inference(superposition,[status(thm)],[c_113270,c_123116]) ).
tcf(c_225977,plain,
~ theorem(or(p,iPr_def_19)),
inference(forward_subsumption_resolution,[status(thm)],[c_225868,c_120255]) ).
tcf(c_227519,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_95,c_65]) ).
tcf(c_227559,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_105,c_65]) ).
tcf(c_227779,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_110,c_65]) ).
tcf(c_228203,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_100,c_227779]) ).
tcf(c_228313,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_115,c_65]) ).
tcf(c_228429,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_228203,c_227519]) ).
tcf(c_228446,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_228429,c_227559]) ).
tcf(c_233784,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_228313,c_65]) ).
tcf(c_234039,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_228446,c_233784]) ).
tcf(c_237204,plain,
! [X0: $i] :
( theorem(or(X0,not(iPr_def_16)))
| ~ theorem(or(X0,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_149,c_234039]) ).
tcf(c_237234,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_17))
| ~ theorem(or(X0,iPr_def_15)) ),
inference(light_normalisation,[status(thm)],[c_237204,c_150]) ).
tcf(c_237277,plain,
( theorem(or(p,iPr_def_17))
| ~ theorem(or(p,iPr_def_15)) ),
inference(instantiation,[status(thm)],[c_237234]) ).
tcf(c_266644,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_143,c_100]) ).
tcf(c_266648,plain,
! [X0: $i] : theorem(or(iPr_def_17,or(X0,iPr_def_16))),
inference(superposition,[status(thm)],[c_150,c_100]) ).
tcf(c_266679,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_10,or(X0,iPr_def_11))),or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_148,c_110]) ).
tcf(c_266680,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_17,or(X0,r))),or(X0,iPr_def_18))),
inference(superposition,[status(thm)],[c_151,c_110]) ).
tcf(c_266706,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_115,c_65]) ).
tcf(c_266970,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_15))
| ~ theorem(or(iPr_def_10,or(X0,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_266679,c_65]) ).
tcf(c_266977,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_18))
| ~ theorem(or(iPr_def_17,or(X0,r))) ),
inference(superposition,[status(thm)],[c_266680,c_65]) ).
tcf(c_267410,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_266706,c_65]) ).
tcf(c_268474,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_105,c_267410]) ).
tcf(c_275709,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(p,X0))),
inference(superposition,[status(thm)],[c_266644,c_268474]) ).
tcf(c_275713,plain,
! [X0: $i] : theorem(or(iPr_def_17,or(iPr_def_16,X0))),
inference(superposition,[status(thm)],[c_266648,c_268474]) ).
tcf(c_276806,plain,
theorem(or(p,iPr_def_15)),
inference(superposition,[status(thm)],[c_275709,c_266970]) ).
tcf(c_280239,plain,
theorem(or(iPr_def_16,iPr_def_18)),
inference(superposition,[status(thm)],[c_275713,c_266977]) ).
tcf(c_280243,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_280239,c_276806,c_237277,c_225977,c_56902]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL243-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/0.45 % Computer : n004.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Wed Sep 23 22:33:05 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.24/0.52 Running first-order theorem proving
% 0.24/0.52 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
% 0.24/0.54
% 0.24/0.54 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.54
% 0.24/0.54 % Detected problem language: tptp
% 0.24/0.56 % Proving...
% 153.46/27.43 % SZS status Started for theBenchmark.p
% 153.46/27.43 % SZS status Unsatisfiable for theBenchmark.p
% 153.46/27.43
% 153.46/27.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 153.46/27.43
% 153.46/27.43 % ------ iProver source info
% 153.46/27.43
% 153.46/27.43 % git: date: 2026-07-19 20:42:38 +0200
% 153.46/27.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 153.46/27.43 % git: non_committed_changes: false
% 153.46/27.43
% 153.46/27.43 % ------ Parsing...% successful
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 153.46/27.43
% 153.46/27.43 % ------ 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 %
% 153.46/27.43
% 153.46/27.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 153.46/27.43
% 153.46/27.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 153.46/27.43 % ------ Proving...
% 153.46/27.43 % ------ Problem Properties
% 153.46/27.43
% 153.46/27.43 %
% 153.46/27.43 % clauses 17
% 153.46/27.43 % conjectures 1
% 153.46/27.43 % EPR 1
% 153.46/27.43 % Horn 17
% 153.46/27.43 % unary 16
% 153.46/27.43 % binary 0
% 153.46/27.43 % lits 19
% 153.46/27.43 % lits eq 10
% 153.46/27.43 % fd_pure 0
% 153.46/27.43 % fd_pseudo 0
% 153.46/27.43 % fd_cond 0
% 153.46/27.43 % fd_pseudo_cond 0
% 153.46/27.43 % AC symbols 0
% 153.46/27.43
% 153.46/27.43 % ------ Schedule dynamic 5 is on
% 153.46/27.43
% 153.46/27.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 % ------
% 153.46/27.43 % Current options:
% 153.46/27.43 % ------
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 %
% 153.46/27.43
% 153.46/27.43 % ------ Proving...
% 153.46/27.43 % Proof_search_loop: time out after: 5357 full_loop iterations
% 153.46/27.43
% 153.46/27.43 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 % ------
% 153.46/27.43 % Current options:
% 153.46/27.43 % ------
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 %
% 153.46/27.43
% 153.46/27.43 % ------ Proving...
% 153.46/27.43 % Proof_search_loop: time out after: 8007 full_loop iterations
% 153.46/27.43
% 153.46/27.43 % ------ Option_1: Negative Selections Time Limit: 35.
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 % ------
% 153.46/27.43 % Current options:
% 153.46/27.43 % ------
% 153.46/27.43
% 153.46/27.43
% 153.46/27.43 %
% 153.46/27.43
% 153.46/27.43 % ------ Proving...
% 153.46/27.43 %
% 153.46/27.43
% 153.46/27.43 % SZS status Unsatisfiable for theBenchmark.p
% 153.46/27.43
% 153.46/27.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 153.46/27.43
% 153.46/27.43
%------------------------------------------------------------------------------