%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL276-3 : 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 : n020.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 02:06:14 PM UTC 2026
% Result : Unsatisfiable 73.23s 10.91s
% Output : CNFRefutation 73.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 119 ( 75 unt; 12 def)
% Number of atoms : 335 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 120 ( 65 ~; 55 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 13 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 125 !; 0 ?; 90 :)
% 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,axiom,
! [X0,X1] : equivalent(X0,X1) = and(implies(X0,X1),implies(X1,X0)),
file('/export/starexec/sandbox/benchmark/Axioms/LCL004-2.ax',equivalent_defn) ).
fof(f11,negated_conjecture,
~ theorem(equivalent(or(r,or(p,q)),or(p,or(q,r)))),
file('/export/starexec/sandbox/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(r,or(p,q))),or(p,or(q,r)))),not(or(not(or(p,or(q,r))),or(r,or(p,q))))))),
inference(definition_unfolding,[],[f11,f12]) ).
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(r,or(p,q))),or(p,or(q,r)))),not(or(not(or(p,or(q,r))),or(r,or(p,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 = or(p,q),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_145,definition,
iPr_def_11 = or(r,iPr_def_10),
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(q,r),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_148,definition,
iPr_def_14 = or(p,iPr_def_13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_149,definition,
iPr_def_15 = or(iPr_def_12,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 = not(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_152,definition,
iPr_def_18 = or(iPr_def_17,iPr_def_11),
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 = or(iPr_def_16,iPr_def_19),
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,negated_conjecture,
~ theorem(iPr_def_21),
inference(demodulation,[status(thm)],[c_67,c_151,c_152,c_153,c_147,c_148,c_144,c_145,c_146,c_149,c_150,c_154,c_155]) ).
tcf(c_301,plain,
! [X0: $i] : theorem(or(iPr_def_12,or(X0,iPr_def_11))),
inference(superposition,[status(thm)],[c_146,c_101]) ).
tcf(c_323,plain,
theorem(or(not(iPr_def_13),or(r,q))),
inference(superposition,[status(thm)],[c_147,c_106]) ).
tcf(c_328,plain,
theorem(or(not(iPr_def_20),or(iPr_def_19,iPr_def_16))),
inference(superposition,[status(thm)],[c_154,c_106]) ).
tcf(c_330,plain,
theorem(or(not(or(r,q)),iPr_def_13)),
inference(superposition,[status(thm)],[c_147,c_106]) ).
tcf(c_336,plain,
theorem(or(iPr_def_21,or(iPr_def_19,iPr_def_16))),
inference(light_normalisation,[status(thm)],[c_328,c_155]) ).
tcf(c_350,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_351,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_352,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_359,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(iPr_def_15)
| ~ theorem(or(iPr_def_16,X0)) ),
inference(superposition,[status(thm)],[c_150,c_66]) ).
tcf(c_361,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_467,plain,
! [X0: $i] : theorem(or(not(or(p,or(X0,q))),or(X0,iPr_def_10))),
inference(superposition,[status(thm)],[c_144,c_111]) ).
tcf(c_468,plain,
! [X0: $i] : theorem(or(not(or(q,or(X0,r))),or(X0,iPr_def_13))),
inference(superposition,[status(thm)],[c_147,c_111]) ).
tcf(c_470,plain,
! [X0: $i] : theorem(or(not(or(p,or(X0,iPr_def_13))),or(X0,iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_111]) ).
tcf(c_474,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_619,plain,
! [X0: $i] : theorem(or(not(or(not(q),X0)),or(not(iPr_def_10),or(p,X0)))),
inference(superposition,[status(thm)],[c_144,c_116]) ).
tcf(c_621,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_10),X0)),or(not(iPr_def_11),or(r,X0)))),
inference(superposition,[status(thm)],[c_145,c_116]) ).
tcf(c_622,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_13),X0)),or(not(iPr_def_14),or(p,X0)))),
inference(superposition,[status(thm)],[c_148,c_116]) ).
tcf(c_624,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_11),X0)),or(not(iPr_def_18),or(iPr_def_17,X0)))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_630,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_14)),or(not(or(iPr_def_12,X0)),iPr_def_15))),
inference(superposition,[status(thm)],[c_149,c_116]) ).
tcf(c_631,plain,
! [X0: $i] : theorem(or(not(or(not(X0),iPr_def_11)),or(not(or(iPr_def_17,X0)),iPr_def_18))),
inference(superposition,[status(thm)],[c_152,c_116]) ).
tcf(c_633,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X2,X0)),or(X2,X1)))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_116,c_66]) ).
tcf(c_635,plain,
! [X0: $i] : theorem(or(not(or(iPr_def_12,X0)),or(iPr_def_19,or(iPr_def_17,X0)))),
inference(light_normalisation,[status(thm)],[c_624,c_146,c_153]) ).
tcf(c_637,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_13),X0)),or(iPr_def_17,or(p,X0)))),
inference(light_normalisation,[status(thm)],[c_622,c_151]) ).
tcf(c_638,plain,
! [X0: $i] : theorem(or(not(or(not(iPr_def_10),X0)),or(iPr_def_12,or(r,X0)))),
inference(light_normalisation,[status(thm)],[c_621,c_146]) ).
tcf(c_1613,plain,
theorem(or(not(or(p,or(r,q))),iPr_def_11)),
inference(superposition,[status(thm)],[c_145,c_467]) ).
tcf(c_1682,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_13))
| ~ theorem(or(q,or(X0,r))) ),
inference(superposition,[status(thm)],[c_468,c_66]) ).
tcf(c_1805,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(p,or(X0,iPr_def_13))) ),
inference(superposition,[status(thm)],[c_470,c_66]) ).
tcf(c_1918,plain,
! [X0: $i] :
( theorem(or(iPr_def_19,or(iPr_def_17,X0)))
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_635,c_66]) ).
tcf(c_1987,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_474]) ).
tcf(c_1989,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(X0,or(not(or(X1,or(X0,X2))),or(X1,X2)))),
inference(superposition,[status(thm)],[c_111,c_474]) ).
tcf(c_1998,plain,
theorem(or(iPr_def_19,or(iPr_def_21,iPr_def_16))),
inference(superposition,[status(thm)],[c_336,c_474]) ).
tcf(c_2003,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_351,c_474]) ).
tcf(c_2455,plain,
( theorem(or(iPr_def_21,iPr_def_16))
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_1998,c_361]) ).
tcf(c_2629,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_1987,c_350]) ).
tcf(c_2647,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_2629,c_474]) ).
tcf(c_2715,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_13))
| ~ theorem(or(X0,r)) ),
inference(superposition,[status(thm)],[c_351,c_1682]) ).
tcf(c_2765,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_14))
| ~ theorem(or(X0,iPr_def_13)) ),
inference(superposition,[status(thm)],[c_351,c_1805]) ).
tcf(c_2809,plain,
( theorem(or(iPr_def_16,iPr_def_21))
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_2455,c_352]) ).
tcf(c_2956,plain,
! [X0: $i] :
( theorem(or(iPr_def_17,X0))
| ~ theorem(iPr_def_18)
| ~ theorem(or(iPr_def_12,X0)) ),
inference(superposition,[status(thm)],[c_1918,c_361]) ).
tcf(c_3107,plain,
( theorem(iPr_def_21)
| ~ theorem(iPr_def_18)
| ~ theorem(iPr_def_15) ),
inference(superposition,[status(thm)],[c_2809,c_359]) ).
tcf(c_3108,plain,
( ~ theorem(iPr_def_18)
| ~ theorem(iPr_def_15) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3107,c_156]) ).
tcf(c_3330,plain,
theorem(or(not(or(not(q),iPr_def_13)),or(not(iPr_def_10),iPr_def_14))),
inference(superposition,[status(thm)],[c_148,c_619]) ).
tcf(c_3339,plain,
( theorem(or(not(iPr_def_10),iPr_def_14))
| ~ theorem(or(not(q),iPr_def_13)) ),
inference(superposition,[status(thm)],[c_3330,c_66]) ).
tcf(c_3365,plain,
! [X0: $i] :
( theorem(or(iPr_def_17,or(p,X0)))
| ~ theorem(or(not(iPr_def_13),X0)) ),
inference(superposition,[status(thm)],[c_637,c_66]) ).
tcf(c_3566,plain,
! [X0: $i] :
( theorem(or(iPr_def_12,or(r,X0)))
| ~ theorem(or(not(iPr_def_10),X0)) ),
inference(superposition,[status(thm)],[c_638,c_66]) ).
tcf(c_4324,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_12,X0)),iPr_def_15))
| ~ theorem(or(not(X0),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_630,c_66]) ).
tcf(c_4427,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(superposition,[status(thm)],[c_2647,c_352]) ).
tcf(c_4558,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_17,X0)),iPr_def_18))
| ~ theorem(or(not(X0),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_631,c_66]) ).
tcf(c_5062,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_633,c_66]) ).
tcf(c_9141,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(not(or(X1,or(not(X0),X2))),or(X1,X2)))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_1989,c_66]) ).
tcf(c_9519,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_2003,c_350]) ).
tcf(c_10169,plain,
! [X0: $i] : theorem(or(or(not(or(r,X0)),X0),iPr_def_13)),
inference(superposition,[status(thm)],[c_4427,c_2715]) ).
tcf(c_11132,plain,
! [X0: $i] :
( theorem(iPr_def_15)
| ~ theorem(or(iPr_def_12,X0))
| ~ theorem(or(not(X0),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_4324,c_66]) ).
tcf(c_11147,plain,
! [X0: $i] :
( theorem(iPr_def_18)
| ~ theorem(or(iPr_def_17,X0))
| ~ theorem(or(not(X0),iPr_def_11)) ),
inference(superposition,[status(thm)],[c_4558,c_66]) ).
tcf(c_12835,plain,
! [X0: $i] : theorem(or(or(not(or(r,X0)),X0),iPr_def_14)),
inference(superposition,[status(thm)],[c_10169,c_2765]) ).
tcf(c_12952,plain,
( theorem(iPr_def_18)
| ~ theorem(or(iPr_def_17,or(p,or(r,q)))) ),
inference(superposition,[status(thm)],[c_1613,c_11147]) ).
tcf(c_15177,plain,
! [X0: $i] :
( theorem(or(X0,iPr_def_13))
| ~ theorem(or(X0,or(r,q))) ),
inference(superposition,[status(thm)],[c_330,c_5062]) ).
tcf(c_16659,plain,
! [X0: $i] :
( theorem(or(not(or(iPr_def_17,or(not(X0),iPr_def_11))),iPr_def_18))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_152,c_9141]) ).
tcf(c_16706,plain,
( theorem(or(not(or(iPr_def_17,or(iPr_def_16,iPr_def_11))),iPr_def_18))
| ~ theorem(iPr_def_15) ),
inference(superposition,[status(thm)],[c_150,c_16659]) ).
tcf(c_16997,plain,
( theorem(iPr_def_18)
| ~ theorem(iPr_def_15)
| ~ theorem(or(iPr_def_17,or(iPr_def_16,iPr_def_11))) ),
inference(superposition,[status(thm)],[c_16706,c_66]) ).
tcf(c_17043,plain,
( ~ theorem(or(iPr_def_17,or(iPr_def_16,iPr_def_11)))
| ~ theorem(iPr_def_15) ),
inference(global_subsumption_just,[status(thm)],[c_16997,c_3108,c_16997]) ).
tcf(c_17044,plain,
( ~ theorem(iPr_def_15)
| ~ theorem(or(iPr_def_17,or(iPr_def_16,iPr_def_11))) ),
inference(renaming,[status(thm)],[c_17043]) ).
tcf(c_23331,plain,
! [X0: $i] :
( theorem(or(iPr_def_17,or(X0,iPr_def_11)))
| ~ theorem(iPr_def_18) ),
inference(superposition,[status(thm)],[c_301,c_2956]) ).
tcf(c_71518,plain,
theorem(or(not(or(r,iPr_def_14)),iPr_def_14)),
inference(superposition,[status(thm)],[c_12835,c_9519]) ).
tcf(c_73540,plain,
( theorem(iPr_def_15)
| ~ theorem(or(iPr_def_12,or(r,iPr_def_14))) ),
inference(superposition,[status(thm)],[c_71518,c_11132]) ).
tcf(c_75326,plain,
( theorem(iPr_def_15)
| ~ theorem(or(not(iPr_def_10),iPr_def_14)) ),
inference(superposition,[status(thm)],[c_3566,c_73540]) ).
tcf(c_87196,plain,
( theorem(iPr_def_18)
| ~ theorem(or(not(iPr_def_13),or(r,q))) ),
inference(superposition,[status(thm)],[c_3365,c_12952]) ).
tcf(c_87203,plain,
theorem(iPr_def_18),
inference(forward_subsumption_resolution,[status(thm)],[c_87196,c_323]) ).
tcf(c_87339,plain,
! [X0: $i] : theorem(or(iPr_def_17,or(X0,iPr_def_11))),
inference(backward_subsumption_resolution,[status(thm)],[c_23331,c_87203]) ).
tcf(c_87449,plain,
~ theorem(iPr_def_15),
inference(backward_subsumption_resolution,[status(thm)],[c_17044,c_87339]) ).
tcf(c_87467,plain,
~ theorem(or(not(iPr_def_10),iPr_def_14)),
inference(backward_subsumption_resolution,[status(thm)],[c_75326,c_87449]) ).
tcf(c_87508,plain,
~ theorem(or(not(q),iPr_def_13)),
inference(backward_subsumption_resolution,[status(thm)],[c_3339,c_87467]) ).
tcf(c_155729,plain,
theorem(or(not(q),iPr_def_13)),
inference(superposition,[status(thm)],[c_101,c_15177]) ).
tcf(c_155984,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_155729,c_87508]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL276-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 22:42:18 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.02/0.40 Running first-order theorem proving
% 0.02/0.40 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
% 0.02/0.41
% 0.02/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.02/0.41
% 0.02/0.41 % Detected problem language: tptp
% 0.02/0.42 % Proving...
% 73.23/10.91 % SZS status Started for theBenchmark.p
% 73.23/10.91 % SZS status Unsatisfiable for theBenchmark.p
% 73.23/10.91
% 73.23/10.91 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 73.23/10.91
% 73.23/10.91 % ------ iProver source info
% 73.23/10.91
% 73.23/10.91 % git: date: 2026-07-19 20:42:38 +0200
% 73.23/10.91 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 73.23/10.91 % git: non_committed_changes: false
% 73.23/10.91
% 73.23/10.91 % ------ Parsing...% successful
% 73.23/10.91
% 73.23/10.91
% 73.23/10.91 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 73.23/10.91
% 73.23/10.91 % ------ 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 %
% 73.23/10.91
% 73.23/10.91 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 73.23/10.91
% 73.23/10.91 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 73.23/10.91 % ------ Proving...
% 73.23/10.91 % ------ Problem Properties
% 73.23/10.91
% 73.23/10.91 %
% 73.23/10.91 % clauses 19
% 73.23/10.91 % conjectures 1
% 73.23/10.91 % EPR 1
% 73.23/10.91 % Horn 19
% 73.23/10.91 % unary 18
% 73.23/10.91 % binary 0
% 73.23/10.91 % lits 21
% 73.23/10.91 % lits eq 12
% 73.23/10.91 % fd_pure 0
% 73.23/10.91 % fd_pseudo 0
% 73.23/10.91 % fd_cond 0
% 73.23/10.91 % fd_pseudo_cond 0
% 73.23/10.91 % AC symbols 0
% 73.23/10.91
% 73.23/10.91 % ------ Schedule dynamic 5 is on
% 73.23/10.91
% 73.23/10.91 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 73.23/10.91
% 73.23/10.91
% 73.23/10.91 % ------
% 73.23/10.91 % Current options:
% 73.23/10.91 % ------
% 73.23/10.91
% 73.23/10.91
% 73.23/10.91 %
% 73.23/10.91
% 73.23/10.91 % ------ Proving...
% 73.23/10.91 %
% 73.23/10.91
% 73.23/10.91 % SZS status Unsatisfiable for theBenchmark.p
% 73.23/10.91
% 73.23/10.91 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 73.23/10.91
% 73.23/10.91
%------------------------------------------------------------------------------