%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL289-3 : 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 : n005.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 6.58s 2.77s
% Output : CNFRefutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 26
% Syntax : Number of formulae : 117 ( 88 unt; 15 def)
% Number of atoms : 326 ( 19 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 86 ( 48 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 19 ( 17 usr; 16 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 107 !; 0 ?; 72 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : axiom(implies(or(X0,X0),X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_2) ).
fof(f2,axiom,
! [X0,X1] : axiom(implies(X0,or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_3) ).
fof(f3,axiom,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_4) ).
fof(f4,axiom,
! [X2,X0,X1] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_5) ).
fof(f5,axiom,
! [X2,X0,X1] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',axiom_1_6) ).
fof(f6,axiom,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',implies_definition) ).
fof(f7,axiom,
! [X0] :
( ~ axiom(X0)
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_1) ).
fof(f8,axiom,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(implies(X1,X0))
| theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-0.ax',rule_2) ).
fof(f9,axiom,
! [X0,X1] : and(X0,X1) = not(or(not(X0),not(X1))),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-1.ax',and_defn) ).
fof(f10,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(not(and(p,not(q))),or(not(p),q))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f12,plain,
! [X0,X1] : equivalent(X0,X1) = not(or(not(or(not(X0),X1)),not(or(not(X1),X0)))),
inference(definition_unfolding,[],[f10,f9,f6,f6]) ).
fof(f13,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f14,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f15,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f16,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f17,plain,
! [X2,X0,X1] : axiom(or(not(or(not(X0),X1)),or(not(or(X2,X0)),or(X2,X1)))),
inference(definition_unfolding,[],[f5,f6,f6,f6]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f19,plain,
~ theorem(not(or(not(or(not(not(not(or(not(p),not(not(q)))))),or(not(p),q))),not(or(not(or(not(p),q)),not(not(or(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(p),not(not(q)))))),or(not(p),q))),not(or(not(or(not(p),q)),not(not(or(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(q),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_146,definition,
iPr_def_12 = not(iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_147,definition,
iPr_def_13 = or(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = not(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 = or(iPr_def_10,q),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = or(iPr_def_16,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_153,definition,
iPr_def_19 = not(iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_154,definition,
iPr_def_20 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_155,definition,
iPr_def_21 = or(iPr_def_20,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_156,definition,
iPr_def_22 = not(iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_157,definition,
iPr_def_23 = or(iPr_def_19,iPr_def_22),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_158,definition,
iPr_def_24 = not(iPr_def_23),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_159,negated_conjecture,
~ theorem(iPr_def_24),
inference(demodulation,[status(thm)],[c_67,c_154,c_155,c_156,c_151,c_145,c_146,c_144,c_147,c_148,c_149,c_150,c_152,c_153,c_157,c_158]) ).
tcf(c_316,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(X0,q))),
inference(superposition,[status(thm)],[c_145,c_101]) ).
tcf(c_318,plain,
! [X0: $i] : theorem(or(iPr_def_12,or(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_146,c_101]) ).
tcf(c_319,plain,
! [X0: $i] : theorem(or(iPr_def_14,or(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_148,c_101]) ).
tcf(c_320,plain,
! [X0: $i] : theorem(or(iPr_def_15,or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_149,c_101]) ).
tcf(c_321,plain,
! [X0: $i] : theorem(or(iPr_def_16,or(X0,iPr_def_15))),
inference(superposition,[status(thm)],[c_150,c_101]) ).
tcf(c_349,plain,
theorem(or(not(iPr_def_23),or(iPr_def_22,iPr_def_19))),
inference(superposition,[status(thm)],[c_157,c_106]) ).
tcf(c_355,plain,
theorem(or(iPr_def_24,or(iPr_def_22,iPr_def_19))),
inference(light_normalisation,[status(thm)],[c_349,c_158]) ).
tcf(c_367,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_369,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_378,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_19,X0)) ),
inference(superposition,[status(thm)],[c_153,c_66]) ).
tcf(c_380,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_21)
| ~ theorem(or(iPr_def_22,X0)) ),
inference(superposition,[status(thm)],[c_156,c_66]) ).
tcf(c_485,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_111,c_66]) ).
tcf(c_602,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,q)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_145,c_116]) ).
tcf(c_604,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_12,X0)),or(not(or(X1,iPr_def_11)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_146,c_116]) ).
tcf(c_605,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_14,X0)),or(not(or(X1,iPr_def_13)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_148,c_116]) ).
tcf(c_606,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_15,X0)),or(not(or(X1,iPr_def_14)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_149,c_116]) ).
tcf(c_618,plain,
! [X0: $i] : theorem(or(not(or(not(X0),q)),or(not(or(iPr_def_10,X0)),iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_619,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_17)),or(not(or(iPr_def_16,X0)),iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_1941,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_485]) ).
tcf(c_1945,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_11,q))),
inference(superposition,[status(thm)],[c_316,c_485]) ).
tcf(c_1947,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_12,iPr_def_11))),
inference(superposition,[status(thm)],[c_318,c_485]) ).
tcf(c_1948,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_14,iPr_def_13))),
inference(superposition,[status(thm)],[c_319,c_485]) ).
tcf(c_1949,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_15,iPr_def_14))),
inference(superposition,[status(thm)],[c_320,c_485]) ).
tcf(c_1950,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_16,iPr_def_15))),
inference(superposition,[status(thm)],[c_321,c_485]) ).
tcf(c_1955,plain,
theorem(or(iPr_def_22,or(iPr_def_24,iPr_def_19))),
inference(superposition,[status(thm)],[c_355,c_485]) ).
tcf(c_2138,plain,
theorem(or(iPr_def_11,q)),
inference(superposition,[status(thm)],[c_1945,c_367]) ).
tcf(c_2176,plain,
theorem(or(q,iPr_def_11)),
inference(superposition,[status(thm)],[c_2138,c_369]) ).
tcf(c_2198,plain,
theorem(or(iPr_def_12,iPr_def_11)),
inference(superposition,[status(thm)],[c_1947,c_367]) ).
tcf(c_2215,plain,
theorem(or(iPr_def_11,iPr_def_12)),
inference(superposition,[status(thm)],[c_2198,c_369]) ).
tcf(c_2252,plain,
theorem(or(iPr_def_14,iPr_def_13)),
inference(superposition,[status(thm)],[c_1948,c_367]) ).
tcf(c_2266,plain,
theorem(or(iPr_def_13,iPr_def_14)),
inference(superposition,[status(thm)],[c_2252,c_369]) ).
tcf(c_2269,plain,
theorem(or(not(or(iPr_def_11,iPr_def_12)),or(not(or(iPr_def_10,q)),iPr_def_13))),
inference(superposition,[status(thm)],[c_147,c_602]) ).
tcf(c_2278,plain,
theorem(or(not(or(iPr_def_11,iPr_def_12)),or(iPr_def_20,iPr_def_13))),
inference(light_normalisation,[status(thm)],[c_2269,c_151,c_154]) ).
tcf(c_2309,plain,
( theorem(or(iPr_def_20,iPr_def_13))
| ~ theorem(or(iPr_def_11,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_2278,c_66]) ).
tcf(c_2312,plain,
theorem(or(iPr_def_20,iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_2309,c_2215]) ).
tcf(c_2387,plain,
theorem(or(iPr_def_15,iPr_def_14)),
inference(superposition,[status(thm)],[c_1949,c_367]) ).
tcf(c_2401,plain,
theorem(or(iPr_def_14,iPr_def_15)),
inference(superposition,[status(thm)],[c_2387,c_369]) ).
tcf(c_2577,plain,
theorem(or(iPr_def_16,iPr_def_15)),
inference(superposition,[status(thm)],[c_1950,c_367]) ).
tcf(c_2592,plain,
theorem(or(iPr_def_15,iPr_def_16)),
inference(superposition,[status(thm)],[c_2577,c_369]) ).
tcf(c_2689,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_11)),or(X1,X0)))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_604,c_66]) ).
tcf(c_2788,plain,
( theorem(or(iPr_def_24,iPr_def_19))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_1955,c_380]) ).
tcf(c_2855,plain,
theorem(or(not(or(iPr_def_14,iPr_def_15)),or(not(or(iPr_def_20,iPr_def_13)),iPr_def_21))),
inference(superposition,[status(thm)],[c_155,c_605]) ).
tcf(c_2985,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1941,c_367]) ).
tcf(c_3016,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_2985,c_369]) ).
tcf(c_3071,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,iPr_def_14)),or(X1,X0)))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_606,c_66]) ).
tcf(c_3458,plain,
( theorem(or(iPr_def_19,iPr_def_24))
| ~ theorem(iPr_def_21) ),
inference(superposition,[status(thm)],[c_2788,c_369]) ).
tcf(c_3592,plain,
( theorem(iPr_def_24)
| ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_3458,c_378]) ).
tcf(c_3593,plain,
( ~ theorem(iPr_def_21)
| ~ theorem(iPr_def_18) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3592,c_159]) ).
tcf(c_4167,plain,
( theorem(or(not(or(iPr_def_20,iPr_def_13)),iPr_def_21))
| ~ theorem(or(iPr_def_14,iPr_def_15)) ),
inference(superposition,[status(thm)],[c_2855,c_66]) ).
tcf(c_4170,plain,
theorem(or(not(or(iPr_def_20,iPr_def_13)),iPr_def_21)),
inference(forward_subsumption_resolution,[status(thm)],[c_4167,c_2401]) ).
tcf(c_4192,plain,
( theorem(iPr_def_21)
| ~ theorem(or(iPr_def_20,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_4170,c_66]) ).
tcf(c_4194,plain,
theorem(iPr_def_21),
inference(forward_subsumption_resolution,[status(thm)],[c_4192,c_2312]) ).
tcf(c_4195,plain,
~ theorem(iPr_def_18),
inference(backward_subsumption_resolution,[status(thm)],[c_3593,c_4194]) ).
tcf(c_4257,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_10,X0)),iPr_def_17))
| ~ theorem(or(not(X0),q)) ),
inference(superposition,[status(thm)],[c_618,c_66]) ).
tcf(c_4401,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_16,X0)),iPr_def_18))
| ~ theorem(or(not(X0),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_619,c_66]) ).
tcf(c_9049,plain,
! [X0: $i] :
( theorem(iPr_def_18)
| ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_17)) ),
inference(superposition,[status(thm)],[c_4401,c_66]) ).
tcf(c_9054,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_16,X0))
| ~ theorem(or(not(X0),iPr_def_17)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9049,c_4195]) ).
tcf(c_9137,plain,
! [X0: $i] :
( ~ theorem(or(not(X0),q))
| ~ theorem(or(iPr_def_16,or(iPr_def_10,X0))) ),
inference(superposition,[status(thm)],[c_4257,c_9054]) ).
tcf(c_11799,plain,
( ~ theorem(or(iPr_def_16,iPr_def_13))
| ~ theorem(or(not(iPr_def_12),q)) ),
inference(superposition,[status(thm)],[c_147,c_9137]) ).
tcf(c_12144,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_12,X1))
| ~ theorem(or(X0,iPr_def_11)) ),
inference(superposition,[status(thm)],[c_2689,c_66]) ).
tcf(c_12334,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_3071,c_66]) ).
tcf(c_13759,plain,
! [X0: $i] :
( theorem(or(q,X0))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_2176,c_12144]) ).
tcf(c_14192,plain,
! [X0: $i] :
( theorem(or(iPr_def_13,X0))
| ~ theorem(or(iPr_def_15,X0)) ),
inference(superposition,[status(thm)],[c_2266,c_12334]) ).
tcf(c_26540,plain,
theorem(or(q,not(iPr_def_12))),
inference(superposition,[status(thm)],[c_3016,c_13759]) ).
tcf(c_26639,plain,
theorem(or(not(iPr_def_12),q)),
inference(superposition,[status(thm)],[c_26540,c_369]) ).
tcf(c_26642,plain,
~ theorem(or(iPr_def_16,iPr_def_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_11799,c_26639]) ).
tcf(c_28854,plain,
theorem(or(iPr_def_13,iPr_def_16)),
inference(superposition,[status(thm)],[c_2592,c_14192]) ).
tcf(c_28987,plain,
theorem(or(iPr_def_16,iPr_def_13)),
inference(superposition,[status(thm)],[c_28854,c_369]) ).
tcf(c_28990,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_28987,c_26642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL289-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n005.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Wed Sep 23 22:44:03 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 6.58/2.77 % SZS status Started for theBenchmark.p
% 6.58/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.58/2.77
% 6.58/2.77 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.58/2.77
% 6.58/2.77 % ------ iProver source info
% 6.58/2.77
% 6.58/2.77 % git: date: 2026-07-19 20:42:38 +0200
% 6.58/2.77 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.58/2.77 % git: non_committed_changes: false
% 6.58/2.77
% 6.58/2.77 % ------ Parsing...% successful
% 6.58/2.77
% 6.58/2.77
% 6.58/2.77 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.58/2.77
% 6.58/2.77 % ------ 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 %
% 6.58/2.77
% 6.58/2.77 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.58/2.77
% 6.58/2.77 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.58/2.77 % ------ Proving...
% 6.58/2.77 % ------ Problem Properties
% 6.58/2.77
% 6.58/2.77 %
% 6.58/2.77 % clauses 22
% 6.58/2.77 % conjectures 1
% 6.58/2.77 % EPR 1
% 6.58/2.77 % Horn 22
% 6.58/2.77 % unary 21
% 6.58/2.77 % binary 0
% 6.58/2.77 % lits 24
% 6.58/2.77 % lits eq 15
% 6.58/2.77 % fd_pure 0
% 6.58/2.77 % fd_pseudo 0
% 6.58/2.77 % fd_cond 0
% 6.58/2.77 % fd_pseudo_cond 0
% 6.58/2.77 % AC symbols 0
% 6.58/2.77
% 6.58/2.77 % ------ Schedule dynamic 5 is on
% 6.58/2.77
% 6.58/2.77 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.58/2.77
% 6.58/2.77
% 6.58/2.77 % ------
% 6.58/2.77 % Current options:
% 6.58/2.77 % ------
% 6.58/2.77
% 6.58/2.77
% 6.58/2.77 %
% 6.58/2.77
% 6.58/2.77 % ------ Proving...
% 6.58/2.77 %
% 6.58/2.77
% 6.58/2.77 % SZS status Unsatisfiable for theBenchmark.p
% 6.58/2.77
% 6.58/2.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.58/2.77
% 6.58/2.77
%------------------------------------------------------------------------------