%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL348-3 : 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 : n013.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 02:06:23 PM UTC 2026
% Result : Unsatisfiable 18.88s 13.52s
% Output : CNFRefutation 18.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 25
% Syntax : Number of formulae : 112 ( 74 unt; 14 def)
% Number of atoms : 320 ( 18 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 105 ( 58 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 112 ( 0 sgn 112 !; 0 ?; 77 :)
% 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(and(p,q),not(q)),or(p,not(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(or(not(or(not(p),not(q))),not(q))),or(p,not(q)))),not(or(not(or(p,not(q))),or(not(or(not(p),not(q))),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(or(not(or(not(p),not(q))),not(q))),or(p,not(q)))),not(or(not(or(p,not(q))),or(not(or(not(p),not(q))),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 = or(iPr_def_10,iPr_def_11),
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_13,iPr_def_11),
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 = or(p,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_151,definition,
iPr_def_17 = or(iPr_def_15,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_14),
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_150,c_145,c_144,c_146,c_147,c_148,c_149,c_151,c_152,c_156,c_157]) ).
tcf(c_312,plain,
! [X0: $i] : theorem(or(iPr_def_10,or(X0,p))),
inference(superposition,[status(thm)],[c_144,c_101]) ).
tcf(c_313,plain,
! [X0: $i] : theorem(or(iPr_def_13,or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_147,c_101]) ).
tcf(c_320,plain,
theorem(or(not(iPr_def_11),iPr_def_14)),
inference(superposition,[status(thm)],[c_148,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_341,plain,
theorem(or(not(or(iPr_def_11,iPr_def_10)),iPr_def_12)),
inference(superposition,[status(thm)],[c_146,c_106]) ).
tcf(c_347,plain,
theorem(or(iPr_def_23,or(iPr_def_21,iPr_def_18))),
inference(light_normalisation,[status(thm)],[c_340,c_157]) ).
tcf(c_360,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_371,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_373,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_463,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_12)),or(iPr_def_10,or(X0,iPr_def_11)))),
inference(superposition,[status(thm)],[c_146,c_111]) ).
tcf(c_467,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_20)),or(iPr_def_19,or(X0,iPr_def_14)))),
inference(superposition,[status(thm)],[c_154,c_111]) ).
tcf(c_473,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_19,or(X0,iPr_def_14))),or(X0,iPr_def_20))),
inference(superposition,[status(thm)],[c_154,c_111]) ).
tcf(c_475,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_598,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_607,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_11),X0)),or(not(iPr_def_16),or(p,X0)))),
inference(superposition,[status(thm)],[c_150,c_116]) ).
tcf(c_614,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_16)),or(not(or(iPr_def_15,X0)),iPr_def_17))),
inference(superposition,[status(thm)],[c_151,c_116]) ).
tcf(c_615,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_14)),or(not(or(iPr_def_19,X0)),iPr_def_20))),
inference(superposition,[status(thm)],[c_154,c_116]) ).
tcf(c_621,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_11),X0)),or(iPr_def_19,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_607,c_153]) ).
tcf(c_1444,plain,
theorem(or(not(or(iPr_def_13,iPr_def_12)),or(iPr_def_10,iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_463]) ).
tcf(c_1484,plain,
( theorem(or(iPr_def_10,iPr_def_14))
| ~ theorem(or(iPr_def_13,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_1444,c_66]) ).
tcf(c_2034,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,or(X0,iPr_def_14)))
| ~ theorem(or(X0,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_467,c_66]) ).
tcf(c_2239,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_20))
| ~ theorem(or(iPr_def_19,or(X0,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_473,c_66]) ).
tcf(c_2394,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_116,c_475]) ).
tcf(c_2396,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_10,p))),
inference(superposition,[status(thm)],[c_312,c_475]) ).
tcf(c_2397,plain,
! [X0: $i] : theorem(or(X0,or(iPr_def_13,iPr_def_12))),
inference(superposition,[status(thm)],[c_313,c_475]) ).
tcf(c_2403,plain,
theorem(or(iPr_def_21,or(iPr_def_23,iPr_def_18))),
inference(superposition,[status(thm)],[c_347,c_475]) ).
tcf(c_2409,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_361,c_475]) ).
tcf(c_2712,plain,
theorem(or(iPr_def_10,p)),
inference(superposition,[status(thm)],[c_2396,c_360]) ).
tcf(c_2724,plain,
theorem(or(p,iPr_def_10)),
inference(superposition,[status(thm)],[c_2712,c_362]) ).
tcf(c_2728,plain,
theorem(or(iPr_def_13,iPr_def_12)),
inference(superposition,[status(thm)],[c_2397,c_360]) ).
tcf(c_2739,plain,
theorem(or(iPr_def_10,iPr_def_14)),
inference(backward_subsumption_resolution,[status(thm)],[c_1484,c_2728]) ).
tcf(c_2923,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_598,c_66]) ).
tcf(c_3019,plain,
( theorem(or(iPr_def_23,iPr_def_18))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_2403,c_373]) ).
tcf(c_3584,plain,
( theorem(or(iPr_def_18,iPr_def_23))
| ~ theorem(iPr_def_20) ),
inference(superposition,[status(thm)],[c_3019,c_362]) ).
tcf(c_3935,plain,
( theorem(iPr_def_23)
| ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(superposition,[status(thm)],[c_3584,c_371]) ).
tcf(c_3936,plain,
( ~ theorem(iPr_def_20)
| ~ theorem(iPr_def_17) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3935,c_158]) ).
tcf(c_4032,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,or(p,X0)))
| ~ theorem(or(not(iPr_def_11),X0)) ),
inference(superposition,[status(thm)],[c_621,c_66]) ).
tcf(c_5058,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_15,X0)),iPr_def_17))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_614,c_66]) ).
tcf(c_5337,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_19,X0)),iPr_def_20))
| ~ theorem(or(not(X0),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_615,c_66]) ).
tcf(c_6951,plain,
( theorem(or(p,iPr_def_20))
| ~ theorem(or(not(iPr_def_11),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_4032,c_2239]) ).
tcf(c_6952,plain,
theorem(or(p,iPr_def_20)),
inference(forward_subsumption_resolution,[status(thm)],[c_6951,c_320]) ).
tcf(c_6983,plain,
theorem(or(iPr_def_20,p)),
inference(superposition,[status(thm)],[c_6952,c_362]) ).
tcf(c_11452,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_2394,c_66]) ).
tcf(c_13257,plain,
! [X0: $i] :
( theorem(iPr_def_17)
| ~ theorem(or(iPr_def_15,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(superposition,[status(thm)],[c_5058,c_66]) ).
tcf(c_13272,plain,
! [X0: $i] :
( theorem(iPr_def_20)
| ~ theorem(or(iPr_def_19,X0))
| ~ theorem(or(not(X0),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_5337,c_66]) ).
tcf(c_14979,plain,
( theorem(iPr_def_20)
| ~ theorem(or(iPr_def_19,or(iPr_def_14,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_96,c_13272]) ).
tcf(c_15311,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(iPr_def_10,X1))
| ~ theorem(or(X0,p)) ),
inference(superposition,[status(thm)],[c_2923,c_66]) ).
tcf(c_16489,plain,
! [X0: $i] :
( theorem(or(iPr_def_20,X0))
| ~ theorem(or(iPr_def_10,X0)) ),
inference(superposition,[status(thm)],[c_6983,c_15311]) ).
tcf(c_21686,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(iPr_def_13,X1)),or(X0,X1)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_147,c_11452]) ).
tcf(c_21694,plain,
! [X0: $i] :
( theorem(or(not(or(not(X0),iPr_def_11)),iPr_def_16))
| ~ theorem(or(p,X0)) ),
inference(superposition,[status(thm)],[c_150,c_11452]) ).
tcf(c_25337,plain,
! [X0: $i] :
( theorem(or(not(iPr_def_14),or(X0,iPr_def_11)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_148,c_21686]) ).
tcf(c_25350,plain,
! [X0: $i] :
( theorem(or(iPr_def_15,or(X0,iPr_def_11)))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(light_normalisation,[status(thm)],[c_25337,c_149]) ).
tcf(c_26174,plain,
( theorem(iPr_def_20)
| ~ theorem(or(iPr_def_14,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_2034,c_14979]) ).
tcf(c_29936,plain,
theorem(or(iPr_def_20,iPr_def_14)),
inference(superposition,[status(thm)],[c_2739,c_16489]) ).
tcf(c_30040,plain,
theorem(or(iPr_def_14,iPr_def_20)),
inference(superposition,[status(thm)],[c_29936,c_362]) ).
tcf(c_30047,plain,
theorem(iPr_def_20),
inference(backward_subsumption_resolution,[status(thm)],[c_26174,c_30040]) ).
tcf(c_30053,plain,
~ theorem(iPr_def_17),
inference(backward_subsumption_resolution,[status(thm)],[c_3936,c_30047]) ).
tcf(c_30086,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_15,X0))
| ~ theorem(or(not(X0),iPr_def_16)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_13257,c_30053]) ).
tcf(c_30364,plain,
! [X0: $i] :
( ~ theorem(or(p,X0))
| ~ theorem(or(iPr_def_15,or(not(X0),iPr_def_11))) ),
inference(superposition,[status(thm)],[c_21694,c_30086]) ).
tcf(c_31070,plain,
! [X0: $i] :
( ~ theorem(or(p,X0))
| ~ theorem(or(not(X0),iPr_def_12)) ),
inference(superposition,[status(thm)],[c_25350,c_30364]) ).
tcf(c_32576,plain,
~ theorem(or(p,or(iPr_def_11,iPr_def_10))),
inference(superposition,[status(thm)],[c_341,c_31070]) ).
tcf(c_33009,plain,
~ theorem(or(p,iPr_def_10)),
inference(superposition,[status(thm)],[c_2409,c_32576]) ).
tcf(c_33011,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_33009,c_2724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL348-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.60 % Computer : n013.cluster.edu
% 0.11/10.60 % Model : x86_64 x86_64
% 0.11/10.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.60 % Memory : 8046.5625MB
% 0.11/10.60 % OS : Linux 6.8.0-71-generic
% 0.03/10.60 % CPULimit : 300
% 0.03/10.60 % WCLimit : 300
% 0.03/10.60 % DateTime : Wed Sep 23 22:55:58 UTC 2026
% 0.03/10.60 % CPUTime :
% 0.03/10.60 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/10.64 Running first-order theorem proving
% 0.03/10.64 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
% 0.03/10.65
% 0.03/10.65 % ======== iProver multi-core TPTP/SMT =========
% 0.03/10.65
% 0.03/10.65 % Detected problem language: tptp
% 0.03/10.66 % Proving...
% 18.88/13.52 % SZS status Started for theBenchmark.p
% 18.88/13.52 % SZS status Unsatisfiable for theBenchmark.p
% 18.88/13.52
% 18.88/13.52 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.88/13.52
% 18.88/13.52 % ------ iProver source info
% 18.88/13.52
% 18.88/13.52 % git: date: 2026-07-19 20:42:38 +0200
% 18.88/13.52 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.88/13.52 % git: non_committed_changes: false
% 18.88/13.52
% 18.88/13.52 % ------ Parsing...% successful
% 18.88/13.52
% 18.88/13.52
% 18.88/13.52 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.88/13.52
% 18.88/13.52 % ------ 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 %
% 18.88/13.52
% 18.88/13.52 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.88/13.52
% 18.88/13.52 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.88/13.52 % ------ Proving...
% 18.88/13.52 % ------ Problem Properties
% 18.88/13.52
% 18.88/13.52 %
% 18.88/13.52 % clauses 21
% 18.88/13.52 % conjectures 1
% 18.88/13.52 % EPR 1
% 18.88/13.52 % Horn 21
% 18.88/13.52 % unary 20
% 18.88/13.52 % binary 0
% 18.88/13.52 % lits 23
% 18.88/13.52 % lits eq 14
% 18.88/13.52 % fd_pure 0
% 18.88/13.52 % fd_pseudo 0
% 18.88/13.52 % fd_cond 0
% 18.88/13.52 % fd_pseudo_cond 0
% 18.88/13.52 % AC symbols 0
% 18.88/13.52
% 18.88/13.52 % ------ Schedule dynamic 5 is on
% 18.88/13.52
% 18.88/13.52 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 18.88/13.52
% 18.88/13.52
% 18.88/13.52 % ------
% 18.88/13.52 % Current options:
% 18.88/13.52 % ------
% 18.88/13.52
% 18.88/13.52
% 18.88/13.52 %
% 18.88/13.52
% 18.88/13.52 % ------ Proving...
% 18.88/13.52 %
% 18.88/13.52
% 18.88/13.52 % SZS status Unsatisfiable for theBenchmark.p
% 18.88/13.52
% 18.88/13.52 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.88/13.53
% 18.88/13.53
%------------------------------------------------------------------------------