%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL227-3 : 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 : 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 02:06:05 PM UTC 2026
% Result : Unsatisfiable 113.75s 30.01s
% Output : CNFRefutation 113.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 22
% Syntax : Number of formulae : 118 ( 74 unt; 13 def)
% Number of atoms : 310 ( 14 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 114 ( 63 ~; 51 |; 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 : 17 ( 15 usr; 14 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 147 !; 0 ?; 118 :)
% 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,negated_conjecture,
~ theorem(implies(implies(q,implies(r,s)),implies(or(p,q),implies(or(p,r),or(p,s))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(f10,plain,
! [X0] : axiom(or(not(or(X0,X0)),X0)),
inference(definition_unfolding,[],[f1,f6]) ).
fof(f11,plain,
! [X0,X1] : axiom(or(not(X0),or(X1,X0))),
inference(definition_unfolding,[],[f2,f6]) ).
fof(f12,plain,
! [X0,X1] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(definition_unfolding,[],[f3,f6]) ).
fof(f13,plain,
! [X2,X0,X1] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(definition_unfolding,[],[f4,f6]) ).
fof(f14,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(f15,plain,
! [X0,X1] :
( ~ theorem(X1)
| ~ theorem(or(not(X1),X0))
| theorem(X0) ),
inference(definition_unfolding,[],[f8,f6]) ).
fof(f16,plain,
~ theorem(or(not(or(not(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
inference(definition_unfolding,[],[f9,f6,f6,f6,f6,f6]) ).
tcf(c_58,plain,
! [X0: $i] : axiom(or(not(or(X0,X0)),X0)),
inference(cnf_transformation,[],[f10]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] : axiom(or(not(X0),or(X1,X0))),
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i] : axiom(or(not(or(X0,X1)),or(X1,X0))),
inference(cnf_transformation,[],[f12]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i] : axiom(or(not(or(X0,or(X1,X2))),or(X1,or(X0,X2)))),
inference(cnf_transformation,[],[f13]) ).
tcf(c_62,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,[],[f14]) ).
tcf(c_63,plain,
! [X0: $i] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( theorem(X1)
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_65,negated_conjecture,
~ theorem(or(not(or(not(q),or(not(r),s))),or(not(or(p,q)),or(not(or(p,r)),or(p,s))))),
inference(cnf_transformation,[],[f16]) ).
tcf(c_94,plain,
! [X0: $i] : theorem(or(not(or(X0,X0)),X0)),
inference(resolution,[status(thm)],[c_63,c_58]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X1,X0))),
inference(resolution,[status(thm)],[c_63,c_59]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,X1)),or(X1,X0))),
inference(resolution,[status(thm)],[c_63,c_60]) ).
tcf(c_109,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_63,c_61]) ).
tcf(c_114,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_63,c_62]) ).
tcf(c_142,definition,
iPr_def_10 = not(q),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_143,definition,
iPr_def_11 = not(r),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_144,definition,
iPr_def_12 = or(iPr_def_11,s),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_145,definition,
iPr_def_13 = or(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_146,definition,
iPr_def_14 = not(iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_147,definition,
iPr_def_15 = or(p,q),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_148,definition,
iPr_def_16 = not(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_149,definition,
iPr_def_17 = or(p,r),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_150,definition,
iPr_def_18 = not(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_151,definition,
iPr_def_19 = or(p,s),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_152,definition,
iPr_def_20 = or(iPr_def_18,iPr_def_19),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_153,definition,
iPr_def_21 = or(iPr_def_16,iPr_def_20),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_154,definition,
iPr_def_22 = or(iPr_def_14,iPr_def_21),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_155,negated_conjecture,
~ theorem(iPr_def_22),
inference(demodulation,[status(thm)],[c_65,c_151,c_149,c_150,c_152,c_147,c_148,c_153,c_143,c_144,c_142,c_145,c_146,c_154]) ).
tcf(c_359,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_94,c_64]) ).
tcf(c_360,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_99,c_64]) ).
tcf(c_361,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_64]) ).
tcf(c_448,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_22)),or(iPr_def_14,or(X0,iPr_def_21)))),
inference(superposition,[status(thm)],[c_154,c_109]) ).
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_109,c_64]) ).
tcf(c_572,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,r)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_143,c_114]) ).
tcf(c_591,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_21)),or(not(or(iPr_def_14,X0)),iPr_def_22))),
inference(superposition,[status(thm)],[c_154,c_114]) ).
tcf(c_1554,plain,
! [X0: $i] :
( theorem(or(iPr_def_14,or(X0,iPr_def_21)))
| ~ theorem(or(X0,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_448,c_64]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(or(X0,X1),or(X0,X1))),X1))),
inference(superposition,[status(thm)],[c_94,c_457]) ).
tcf(c_1821,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_99,c_457]) ).
tcf(c_1822,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_104,c_457]) ).
tcf(c_1838,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_360,c_457]) ).
tcf(c_2192,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(X0,r)),or(not(or(iPr_def_11,X1)),or(X0,X1)))),
inference(superposition,[status(thm)],[c_572,c_457]) ).
tcf(c_2312,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1821,c_359]) ).
tcf(c_2329,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_2312,c_457]) ).
tcf(c_2896,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X0),X1)),
inference(superposition,[status(thm)],[c_1822,c_361]) ).
tcf(c_3534,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(not(X0),X1)),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_2329,c_64]) ).
tcf(c_4205,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(not(or(not(X0),or(X1,X2))),X2)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_3534,c_457]) ).
tcf(c_4929,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(X0,or(or(not(or(X1,or(X0,X2))),X1),X2))),
inference(superposition,[status(thm)],[c_2896,c_457]) ).
tcf(c_5303,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_22))
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_591,c_64]) ).
tcf(c_9654,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_1820,c_64]) ).
tcf(c_10746,plain,
! [X0: $i] :
( theorem(iPr_def_22)
| ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_5303,c_64]) ).
tcf(c_10750,plain,
! [X0: $i] :
( ~ theorem(or(iPr_def_14,X0))
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10746,c_155]) ).
tcf(c_10773,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_14,or(not(X0),iPr_def_21))) ),
inference(superposition,[status(thm)],[c_3534,c_10750]) ).
tcf(c_11236,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_1554,c_10773]) ).
tcf(c_18159,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(iPr_def_11,X1)),or(X0,X1)))
| ~ theorem(or(X0,r)) ),
inference(superposition,[status(thm)],[c_2192,c_64]) ).
tcf(c_26883,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_22),or(not(X0),iPr_def_22))) ),
inference(superposition,[status(thm)],[c_9654,c_11236]) ).
tcf(c_28004,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(or(not(X0),iPr_def_22),iPr_def_22)) ),
inference(superposition,[status(thm)],[c_1838,c_26883]) ).
tcf(c_75378,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(not(or(X1,or(not(X0),X2))),X1),X2))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_4929,c_64]) ).
tcf(c_81569,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(iPr_def_22,or(not(X0),iPr_def_22))) ),
inference(superposition,[status(thm)],[c_75378,c_28004]) ).
tcf(c_82702,plain,
! [X0: $i] :
( ~ theorem(X0)
| ~ theorem(or(not(X0),or(iPr_def_22,iPr_def_22))) ),
inference(superposition,[status(thm)],[c_4205,c_81569]) ).
tcf(c_90360,plain,
( ~ theorem(or(iPr_def_22,r))
| ~ theorem(or(iPr_def_11,iPr_def_22)) ),
inference(superposition,[status(thm)],[c_18159,c_82702]) ).
tcf(c_379978,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(X0,r))),
inference(superposition,[status(thm)],[c_143,c_99]) ).
tcf(c_379987,plain,
theorem(or(not(iPr_def_19),iPr_def_20)),
inference(superposition,[status(thm)],[c_152,c_99]) ).
tcf(c_379990,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_99,c_64]) ).
tcf(c_380011,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_104,c_64]) ).
tcf(c_380020,plain,
! [X0: $i] : theorem(or(not(or(X0,iPr_def_12)),or(iPr_def_11,or(X0,s)))),
inference(superposition,[status(thm)],[c_144,c_109]) ).
tcf(c_380028,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_11,or(X0,s))),or(X0,iPr_def_12))),
inference(superposition,[status(thm)],[c_144,c_109]) ).
tcf(c_380031,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_16,or(X0,iPr_def_20))),or(X0,iPr_def_21))),
inference(superposition,[status(thm)],[c_153,c_109]) ).
tcf(c_380032,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_14,or(X0,iPr_def_21))),or(X0,iPr_def_22))),
inference(superposition,[status(thm)],[c_154,c_109]) ).
tcf(c_380033,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_109,c_64]) ).
tcf(c_380046,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_10,X0)),or(not(or(X1,q)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_142,c_114]) ).
tcf(c_380047,plain,
! [X0: $i,X1: $i] : theorem(or(not(or(iPr_def_11,X0)),or(not(or(X1,r)),or(X1,X0)))),
inference(superposition,[status(thm)],[c_143,c_114]) ).
tcf(c_380065,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_20)),or(not(or(iPr_def_16,X0)),iPr_def_21))),
inference(superposition,[status(thm)],[c_153,c_114]) ).
tcf(c_380066,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_21)),or(not(or(iPr_def_14,X0)),iPr_def_22))),
inference(superposition,[status(thm)],[c_154,c_114]) ).
tcf(c_380067,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_114,c_64]) ).
tcf(c_380296,plain,
theorem(or(not(iPr_def_13),or(iPr_def_11,or(iPr_def_10,s)))),
inference(superposition,[status(thm)],[c_145,c_380020]) ).
tcf(c_380301,plain,
theorem(or(iPr_def_14,or(iPr_def_11,or(iPr_def_10,s)))),
inference(light_normalisation,[status(thm)],[c_380296,c_146]) ).
tcf(c_380418,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_12))
| ~ theorem(or(iPr_def_11,or(X0,s))) ),
inference(superposition,[status(thm)],[c_380028,c_64]) ).
tcf(c_380452,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(iPr_def_16,or(X0,iPr_def_20))) ),
inference(superposition,[status(thm)],[c_380031,c_64]) ).
tcf(c_380459,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(iPr_def_14,or(X0,iPr_def_21))) ),
inference(superposition,[status(thm)],[c_380032,c_64]) ).
tcf(c_380555,plain,
theorem(or(not(or(iPr_def_10,s)),or(not(or(p,q)),iPr_def_19))),
inference(superposition,[status(thm)],[c_151,c_380046]) ).
tcf(c_380566,plain,
theorem(or(not(or(iPr_def_10,s)),or(iPr_def_16,iPr_def_19))),
inference(light_normalisation,[status(thm)],[c_380555,c_147,c_148]) ).
tcf(c_380626,plain,
theorem(or(not(or(iPr_def_11,s)),or(not(or(p,r)),iPr_def_19))),
inference(superposition,[status(thm)],[c_151,c_380047]) ).
tcf(c_380636,plain,
theorem(or(not(iPr_def_12),iPr_def_20)),
inference(light_normalisation,[status(thm)],[c_380626,c_144,c_149,c_150,c_152]) ).
tcf(c_380970,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_16,X0)),iPr_def_21))
| ~ theorem(or(not(X0),iPr_def_20)) ),
inference(superposition,[status(thm)],[c_380065,c_64]) ).
tcf(c_380982,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_14,X0)),iPr_def_22))
| ~ theorem(or(not(X0),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_380066,c_64]) ).
tcf(c_381008,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_380067,c_64]) ).
tcf(c_381205,plain,
theorem(or(iPr_def_11,or(iPr_def_14,or(iPr_def_10,s)))),
inference(superposition,[status(thm)],[c_380301,c_380033]) ).
tcf(c_381453,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(X0,iPr_def_20)) ),
inference(superposition,[status(thm)],[c_379990,c_380452]) ).
tcf(c_381462,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(X0,iPr_def_21)) ),
inference(superposition,[status(thm)],[c_379990,c_380459]) ).
tcf(c_382375,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_104,c_381008]) ).
tcf(c_382449,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_20))
| ~ theorem(or(X0,iPr_def_12)) ),
inference(superposition,[status(thm)],[c_380636,c_381008]) ).
tcf(c_382510,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_21))
| ~ theorem(or(not(X1),iPr_def_20))
| ~ theorem(or(X0,or(iPr_def_16,X1))) ),
inference(superposition,[status(thm)],[c_380970,c_381008]) ).
tcf(c_382511,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,iPr_def_22))
| ~ theorem(or(not(X1),iPr_def_21))
| ~ theorem(or(X0,or(iPr_def_14,X1))) ),
inference(superposition,[status(thm)],[c_380982,c_381008]) ).
tcf(c_390275,plain,
! [X0: $i] : theorem(or(iPr_def_11,or(r,X0))),
inference(superposition,[status(thm)],[c_379978,c_382375]) ).
tcf(c_393475,plain,
theorem(or(r,iPr_def_12)),
inference(superposition,[status(thm)],[c_390275,c_380418]) ).
tcf(c_424550,plain,
theorem(or(r,iPr_def_20)),
inference(superposition,[status(thm)],[c_393475,c_382449]) ).
tcf(c_424792,plain,
theorem(or(r,iPr_def_21)),
inference(superposition,[status(thm)],[c_424550,c_381453]) ).
tcf(c_425008,plain,
theorem(or(r,iPr_def_22)),
inference(superposition,[status(thm)],[c_424792,c_381462]) ).
tcf(c_425414,plain,
theorem(or(iPr_def_22,r)),
inference(superposition,[status(thm)],[c_425008,c_380011]) ).
tcf(c_435804,plain,
( theorem(or(not(or(iPr_def_10,s)),iPr_def_21))
| ~ theorem(or(not(iPr_def_19),iPr_def_20)) ),
inference(superposition,[status(thm)],[c_380566,c_382510]) ).
tcf(c_435871,plain,
theorem(or(not(or(iPr_def_10,s)),iPr_def_21)),
inference(forward_subsumption_resolution,[status(thm)],[c_435804,c_379987]) ).
tcf(c_436061,plain,
( theorem(or(iPr_def_11,iPr_def_22))
| ~ theorem(or(not(or(iPr_def_10,s)),iPr_def_21)) ),
inference(superposition,[status(thm)],[c_381205,c_382511]) ).
tcf(c_436189,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_436061,c_435871,c_425414,c_90360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL227-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n010.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Wed Sep 23 22:28:13 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.41 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 113.75/30.01 % SZS status Started for theBenchmark.p
% 113.75/30.01 % SZS status Unsatisfiable for theBenchmark.p
% 113.75/30.01
% 113.75/30.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 113.75/30.01
% 113.75/30.01 % ------ iProver source info
% 113.75/30.01
% 113.75/30.01 % git: date: 2026-07-19 20:42:38 +0200
% 113.75/30.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 113.75/30.01 % git: non_committed_changes: false
% 113.75/30.01
% 113.75/30.01 % ------ Parsing...% successful
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 113.75/30.01
% 113.75/30.01 % ------ 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 %
% 113.75/30.01
% 113.75/30.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 113.75/30.01
% 113.75/30.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 113.75/30.01 % ------ Proving...
% 113.75/30.01 % ------ Problem Properties
% 113.75/30.01
% 113.75/30.01 %
% 113.75/30.01 % clauses 20
% 113.75/30.01 % conjectures 1
% 113.75/30.01 % EPR 1
% 113.75/30.01 % Horn 20
% 113.75/30.01 % unary 19
% 113.75/30.01 % binary 0
% 113.75/30.01 % lits 22
% 113.75/30.01 % lits eq 13
% 113.75/30.01 % fd_pure 0
% 113.75/30.01 % fd_pseudo 0
% 113.75/30.01 % fd_cond 0
% 113.75/30.01 % fd_pseudo_cond 0
% 113.75/30.01 % AC symbols 0
% 113.75/30.01
% 113.75/30.01 % ------ Schedule dynamic 5 is on
% 113.75/30.01
% 113.75/30.01 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 % ------
% 113.75/30.01 % Current options:
% 113.75/30.01 % ------
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 %
% 113.75/30.01
% 113.75/30.01 % ------ Proving...
% 113.75/30.01 % Proof_search_loop: time out after: 8351 full_loop iterations
% 113.75/30.01
% 113.75/30.01 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 % ------
% 113.75/30.01 % Current options:
% 113.75/30.01 % ------
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 %
% 113.75/30.01
% 113.75/30.01 % ------ Proving...
% 113.75/30.01 % Proof_search_loop: time out after: 11957 full_loop iterations
% 113.75/30.01
% 113.75/30.01 % ------ Option_1: Negative Selections Time Limit: 35.
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 % ------
% 113.75/30.01 % Current options:
% 113.75/30.01 % ------
% 113.75/30.01
% 113.75/30.01
% 113.75/30.01 %
% 113.75/30.01
% 113.75/30.01 % ------ Proving...
% 113.75/30.01 %
% 113.75/30.01
% 113.75/30.01 % SZS status Unsatisfiable for theBenchmark.p
% 113.75/30.01
% 113.75/30.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 113.75/30.02
% 113.75/30.02
%------------------------------------------------------------------------------