%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL286-3 : 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 : n019.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 02:06:15 PM UTC 2026
% Result : Unsatisfiable 68.98s 21.19s
% Output : CNFRefutation 68.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 11
% Syntax : Number of formulae : 114 ( 58 unt; 0 def)
% Number of atoms : 185 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 154 ( 83 ~; 71 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 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 : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 205 ( 0 sgn 205 !; 0 ?; 170 :)
% 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(p,and(p,or(p,q)))),
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(p),not(or(not(p),not(or(p,q)))))),not(or(not(not(or(not(p),not(or(p,q))))),p))))),
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(p),not(or(not(p),not(or(p,q)))))),not(or(not(not(or(not(p),not(or(p,q))))),p))))),
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_172,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_183,plain,
! [X0: $i] : theorem(or(X0,not(or(X0,X0)))),
inference(superposition,[status(thm)],[c_96,c_172]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] : theorem(or(or(X0,X1),not(X1))),
inference(superposition,[status(thm)],[c_101,c_172]) ).
tcf(c_205,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_213,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_214,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_101,c_66]) ).
tcf(c_215,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_268,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X1),X1))),
inference(superposition,[status(thm)],[c_101,c_205]) ).
tcf(c_269,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X1,X0)),X1))),
inference(superposition,[status(thm)],[c_106,c_205]) ).
tcf(c_270,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_214,c_205]) ).
tcf(c_315,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_268,c_213]) ).
tcf(c_316,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(X0),X0),X1)),
inference(superposition,[status(thm)],[c_268,c_215]) ).
tcf(c_322,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(or(X0,X1)),X1))),
inference(superposition,[status(thm)],[c_315,c_205]) ).
tcf(c_4909,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_4934,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_316,c_4909]) ).
tcf(c_4936,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_4957,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_4934,c_4936]) ).
tcf(c_4959,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(X0,X1)),X1),X0)),
inference(superposition,[status(thm)],[c_322,c_4936]) ).
tcf(c_5007,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(or(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_270,c_4909]) ).
tcf(c_5008,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_270,c_4936]) ).
tcf(c_5149,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_5231,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_5149,c_66]) ).
tcf(c_5376,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ),
inference(superposition,[status(thm)],[c_96,c_5231]) ).
tcf(c_5389,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_4957,c_5231]) ).
tcf(c_5454,plain,
! [X0: $i,X1: $i] : theorem(or(or(not(or(or(X0,X0),X1)),X1),X0)),
inference(superposition,[status(thm)],[c_4959,c_5376]) ).
tcf(c_5455,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(or(X2,X1),X0))
| ~ theorem(or(or(X0,X0),X1)) ),
inference(superposition,[status(thm)],[c_5008,c_5376]) ).
tcf(c_5538,plain,
! [X0: $i,X1: $i] :
( theorem(not(not(X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_5389,c_66]) ).
tcf(c_5549,plain,
! [X0: $i] : theorem(or(not(or(or(X0,X0),X0)),X0)),
inference(superposition,[status(thm)],[c_5454,c_5007]) ).
tcf(c_5660,plain,
! [X0: $i] :
( theorem(not(not(X0)))
| ~ theorem(or(or(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_5549,c_5538]) ).
tcf(c_8330,plain,
! [X0: $i,X1: $i] : theorem(or(or(X0,not(X1)),X1)),
inference(superposition,[status(thm)],[c_184,c_5455]) ).
tcf(c_8859,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(X1,not(X0)))),
inference(superposition,[status(thm)],[c_8330,c_4936]) ).
tcf(c_9093,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(X1,not(X1)))),
inference(superposition,[status(thm)],[c_8859,c_205]) ).
tcf(c_9120,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(or(or(X0,or(X1,not(X1))),X2)),
inference(superposition,[status(thm)],[c_9093,c_5455]) ).
tcf(c_9787,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : theorem(or(X0,or(or(X1,or(X2,not(X2))),X3))),
inference(superposition,[status(thm)],[c_9120,c_205]) ).
tcf(c_11440,plain,
! [X0: $i,X1: $i,X2: $i] : theorem(not(not(or(or(X0,or(X1,not(X1))),X2)))),
inference(superposition,[status(thm)],[c_9787,c_5660]) ).
tcf(c_12276,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_12291,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_316,c_12276]) ).
tcf(c_12293,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_12302,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_269,c_66]) ).
tcf(c_12320,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_12291,c_12293]) ).
tcf(c_12325,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_12302,c_66]) ).
tcf(c_12482,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_12494,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_12482,c_66]) ).
tcf(c_12701,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_106,c_12494]) ).
tcf(c_12712,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_12320,c_12494]) ).
tcf(c_12842,plain,
! [X0: $i,X1: $i] :
( theorem(not(not(X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_12712,c_66]) ).
tcf(c_12845,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_12712,c_12293]) ).
tcf(c_12846,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(not(X1))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_12712,c_12325]) ).
tcf(c_12944,plain,
! [X0: $i,X1: $i] :
( theorem(not(not(or(X1,X0))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_12842]) ).
tcf(c_13196,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(not(not(or(X0,X0)))) ),
inference(superposition,[status(thm)],[c_183,c_12846]) ).
tcf(c_13209,plain,
! [X0: $i,X1: $i] :
( theorem(not(or(X0,not(X1))))
| ~ theorem(X1)
| ~ theorem(not(X0)) ),
inference(superposition,[status(thm)],[c_12302,c_12846]) ).
tcf(c_13281,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(X1,not(X1)))),
inference(superposition,[status(thm)],[c_11440,c_13196]) ).
tcf(c_13307,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(X1,not(X0)))),
inference(superposition,[status(thm)],[c_13281,c_205]) ).
tcf(c_14188,plain,
! [X0: $i,X1: $i] : theorem(or(X0,or(not(X0),X1))),
inference(superposition,[status(thm)],[c_13307,c_12701]) ).
tcf(c_26353,plain,
( ~ theorem(or(not(not(or(not(p),not(or(p,q))))),p))
| ~ theorem(not(not(or(not(p),not(or(not(p),not(or(p,q)))))))) ),
inference(superposition,[status(thm)],[c_13209,c_67]) ).
tcf(c_26506,plain,
( ~ theorem(or(not(or(not(p),not(or(p,q)))),not(p)))
| ~ theorem(or(not(not(or(not(p),not(or(p,q))))),p)) ),
inference(superposition,[status(thm)],[c_12944,c_26353]) ).
tcf(c_26643,plain,
( ~ theorem(or(p,or(not(p),not(or(p,q)))))
| ~ theorem(or(not(or(not(p),not(or(p,q)))),not(p))) ),
inference(superposition,[status(thm)],[c_12845,c_26506]) ).
tcf(c_26644,plain,
~ theorem(or(not(or(not(p),not(or(p,q)))),not(p))),
inference(forward_subsumption_resolution,[status(thm)],[c_26643,c_14188]) ).
tcf(c_28118,plain,
! [X0: $i] :
( theorem(X0)
| ~ theorem(or(X0,X0)) ),
inference(superposition,[status(thm)],[c_96,c_66]) ).
tcf(c_28131,plain,
! [X0: $i] : theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_316,c_28118]) ).
tcf(c_28133,plain,
! [X0: $i,X1: $i] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_66]) ).
tcf(c_28142,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,not(X0))),X1))
| ~ theorem(X0) ),
inference(superposition,[status(thm)],[c_269,c_66]) ).
tcf(c_28160,plain,
! [X0: $i] : theorem(or(X0,not(X0))),
inference(superposition,[status(thm)],[c_28131,c_28133]) ).
tcf(c_28168,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(X1)
| ~ theorem(or(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_28142,c_66]) ).
tcf(c_28301,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_28400,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_28301,c_66]) ).
tcf(c_28435,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,X1))
| ~ theorem(or(X0,or(X1,X1))) ),
inference(superposition,[status(thm)],[c_96,c_28400]) ).
tcf(c_28437,plain,
! [X0: $i,X1: $i,X2: $i] :
( theorem(or(X0,or(X2,X1)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(superposition,[status(thm)],[c_106,c_28400]) ).
tcf(c_28448,plain,
! [X0: $i,X1: $i] :
( theorem(or(X0,not(not(X1))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_28160,c_28400]) ).
tcf(c_28541,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(or(X1,X0)),X1))
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_28301,c_28435]) ).
tcf(c_28560,plain,
! [X0: $i,X1: $i] :
( theorem(not(not(X1)))
| ~ theorem(X0)
| ~ theorem(or(not(X0),X1)) ),
inference(superposition,[status(thm)],[c_28448,c_66]) ).
tcf(c_28563,plain,
! [X0: $i,X1: $i] :
( theorem(or(not(not(X1)),X0))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_28448,c_28133]) ).
tcf(c_28565,plain,
! [X0: $i,X1: $i] :
( theorem(X0)
| ~ theorem(not(X1))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_28448,c_28168]) ).
tcf(c_28584,plain,
! [X0: $i,X1: $i] :
( theorem(not(not(or(X1,X0))))
| ~ theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_106,c_28560]) ).
tcf(c_28965,plain,
! [X0: $i,X1: $i] :
( theorem(not(or(X0,not(X1))))
| ~ theorem(X1)
| ~ theorem(not(X0)) ),
inference(superposition,[status(thm)],[c_28142,c_28565]) ).
tcf(c_33210,plain,
! [X0: $i,X1: $i] : theorem(or(not(X0),or(X0,X1))),
inference(superposition,[status(thm)],[c_101,c_28437]) ).
tcf(c_58044,plain,
( ~ theorem(or(not(not(or(not(p),not(or(p,q))))),p))
| ~ theorem(not(not(or(not(p),not(or(not(p),not(or(p,q)))))))) ),
inference(superposition,[status(thm)],[c_28965,c_67]) ).
tcf(c_58338,plain,
( ~ theorem(or(not(or(not(p),not(or(p,q)))),not(p)))
| ~ theorem(or(not(not(or(not(p),not(or(p,q))))),p)) ),
inference(superposition,[status(thm)],[c_28584,c_58044]) ).
tcf(c_58511,plain,
~ theorem(or(not(or(not(p),not(or(p,q)))),not(p))),
inference(global_subsumption_just,[status(thm)],[c_58338,c_26644]) ).
tcf(c_58516,plain,
~ theorem(or(not(not(or(p,q))),not(p))),
inference(superposition,[status(thm)],[c_28541,c_58511]) ).
tcf(c_58521,plain,
~ theorem(or(not(p),or(p,q))),
inference(superposition,[status(thm)],[c_28563,c_58516]) ).
tcf(c_58524,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_58521,c_33210]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL286-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.18/10.46 % Computer : n019.cluster.edu
% 0.18/10.46 % Model : x86_64 x86_64
% 0.18/10.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/10.46 % Memory : 8046.5625MB
% 0.18/10.46 % OS : Linux 6.8.0-71-generic
% 0.18/10.46 % CPULimit : 300
% 0.18/10.46 % WCLimit : 300
% 0.18/10.46 % DateTime : Wed Sep 23 22:44:17 UTC 2026
% 0.18/10.46 % CPUTime :
% 0.18/10.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/10.53 Running first-order theorem proving
% 0.23/10.53 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
% 0.23/10.54
% 0.23/10.54 % ======== iProver multi-core TPTP/SMT =========
% 0.23/10.54
% 0.23/10.55 % Detected problem language: tptp
% 0.23/10.57 % Proving...
% 68.98/21.19 % SZS status Started for theBenchmark.p
% 68.98/21.19 % SZS status Unsatisfiable for theBenchmark.p
% 68.98/21.19
% 68.98/21.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 68.98/21.19
% 68.98/21.19 % ------ iProver source info
% 68.98/21.19
% 68.98/21.19 % git: date: 2026-07-19 20:42:38 +0200
% 68.98/21.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 68.98/21.19 % git: non_committed_changes: false
% 68.98/21.19
% 68.98/21.19 % ------ Parsing...% successful
% 68.98/21.19
% 68.98/21.19
% 68.98/21.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 68.98/21.19
% 68.98/21.19 % ------ 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 %
% 68.98/21.19
% 68.98/21.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 68.98/21.19 % ------ Proving...
% 68.98/21.19 % ------ Problem Properties
% 68.98/21.19
% 68.98/21.19 %
% 68.98/21.19 % clauses 7
% 68.98/21.19 % conjectures 1
% 68.98/21.19 % EPR 0
% 68.98/21.19 % Horn 7
% 68.98/21.19 % unary 6
% 68.98/21.19 % binary 0
% 68.98/21.19 % lits 9
% 68.98/21.19 % lits eq 0
% 68.98/21.19 % fd_pure 0
% 68.98/21.19 % fd_pseudo 0
% 68.98/21.19 % fd_cond 0
% 68.98/21.19 % fd_pseudo_cond 0
% 68.98/21.19 % AC symbols 0
% 68.98/21.19
% 68.98/21.19 % ------ Input Options Time Limit: Unbounded
% 68.98/21.19
% 68.98/21.19
% 68.98/21.19 % ------
% 68.98/21.19 % Current options:
% 68.98/21.19 % ------
% 68.98/21.19
% 68.98/21.19
% 68.98/21.19 %
% 68.98/21.19
% 68.98/21.19 % ------ Proving...
% 68.98/21.19 %
% 68.98/21.19
% 68.98/21.19 % SZS status Unsatisfiable for theBenchmark.p
% 68.98/21.19
% 68.98/21.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.98/21.19
% 68.98/21.19
%------------------------------------------------------------------------------