%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL541+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/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 02:06:52 PM UTC 2026
% Result : Theorem 165.40s 25.47s
% Output : CNFRefutation 165.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 34
% Syntax : Number of formulae : 230 ( 117 unt; 0 def)
% Number of atoms : 375 ( 53 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 253 ( 110 ~; 105 |; 2 &)
% ( 13 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 19 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 320 ( 0 sgn 318 !; 2 ?; 200 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_ponens) ).
fof(f2,axiom,
( substitution_of_equivalents
<=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',substitution_of_equivalents) ).
fof(f3,axiom,
( modus_tollens
<=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',modus_tollens) ).
fof(f4,axiom,
( implies_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',implies_1) ).
fof(f5,axiom,
( implies_2
<=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',implies_2) ).
fof(f7,axiom,
( and_1
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',and_1) ).
fof(f8,axiom,
( and_2
<=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',and_2) ).
fof(f9,axiom,
( and_3
<=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',and_3) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',or_1) ).
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax',or_2) ).
fof(f27,axiom,
( op_or
=> ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_or) ).
fof(f29,axiom,
( op_implies_and
=> ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_implies_and) ).
fof(f31,axiom,
( op_equiv
=> ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+1.ax',op_equiv) ).
fof(f33,axiom,
op_implies_and,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_op_implies_and) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_modus_ponens) ).
fof(f36,axiom,
modus_tollens,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_modus_tollens) ).
fof(f37,axiom,
implies_1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_implies_1) ).
fof(f38,axiom,
implies_2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_implies_2) ).
fof(f40,axiom,
and_1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_and_1) ).
fof(f41,axiom,
and_2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_and_2) ).
fof(f42,axiom,
and_3,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_and_3) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_or_1) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',hilbert_or_2) ).
fof(f49,axiom,
substitution_of_equivalents,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax',use_substitution_of_equivalents) ).
fof(f50,axiom,
( necessitation
<=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',necessitation) ).
fof(f55,axiom,
( axiom_M
<=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',axiom_M) ).
fof(f63,axiom,
( axiom_m1
<=> ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+0.ax',axiom_m1) ).
fof(f75,axiom,
( op_strict_implies
=> ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+1.ax',op_strict_implies) ).
fof(f78,axiom,
necessitation,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+3.ax',km4b_necessitation) ).
fof(f80,axiom,
axiom_M,
file('/export/starexec/sandbox2/benchmark/Axioms/LCL007+3.ax',km4b_axiom_M) ).
fof(f84,axiom,
op_or,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_or) ).
fof(f86,axiom,
op_strict_implies,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_strict_implies) ).
fof(f87,axiom,
op_equiv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_op_equiv) ).
fof(f89,conjecture,
axiom_m1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s1_0_axiom_m1) ).
fof(f90,negated_conjecture,
~ axiom_m1,
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f91,plain,
~ axiom_m1,
inference(flattening,[],[f90]) ).
fof(f92,plain,
( ! [X0,X1] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
=> axiom_m1 ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f95,plain,
( axiom_M
=> ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(unused_predicate_definition_removal,[],[f55]) ).
fof(f97,plain,
( necessitation
=> ! [X0] :
( is_a_theorem(X0)
=> is_a_theorem(necessarily(X0)) ) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f102,plain,
( or_2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f103,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f104,plain,
( and_3
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f105,plain,
( and_2
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f106,plain,
( and_1
=> ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f108,plain,
( implies_2
=> ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f5]) ).
fof(f109,plain,
( implies_1
=> ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f110,plain,
( modus_tollens
=> ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f111,plain,
( substitution_of_equivalents
=> ! [X0,X1] :
( is_a_theorem(equiv(X0,X1))
=> X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f112,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f117,plain,
( ~ modus_ponens
| ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ) ),
inference(ennf_transformation,[],[f112]) ).
fof(f118,plain,
( ~ modus_ponens
| ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ) ),
inference(flattening,[],[f117]) ).
fof(f119,plain,
( ~ substitution_of_equivalents
| ! [X0,X1] :
( ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ) ),
inference(ennf_transformation,[],[f111]) ).
fof(f120,plain,
( ~ modus_tollens
| ! [X0,X1] : is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(ennf_transformation,[],[f110]) ).
fof(f121,plain,
( ~ implies_1
| ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(ennf_transformation,[],[f109]) ).
fof(f122,plain,
( ~ implies_2
| ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(ennf_transformation,[],[f108]) ).
fof(f124,plain,
( ~ and_1
| ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f125,plain,
( ~ and_2
| ! [X0,X1] : is_a_theorem(implies(and(X0,X1),X1)) ),
inference(ennf_transformation,[],[f105]) ).
fof(f126,plain,
( ~ and_3
| ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(ennf_transformation,[],[f104]) ).
fof(f127,plain,
( ~ or_1
| ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(ennf_transformation,[],[f103]) ).
fof(f128,plain,
( ~ or_2
| ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(ennf_transformation,[],[f102]) ).
fof(f133,plain,
( ~ op_or
| ! [X0,X1] : or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
( ~ op_implies_and
| ! [X0,X1] : implies(X0,X1) = not(and(X0,not(X1))) ),
inference(ennf_transformation,[],[f29]) ).
fof(f135,plain,
( ~ op_equiv
| ! [X0,X1] : equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(ennf_transformation,[],[f31]) ).
fof(f136,plain,
( ~ necessitation
| ! [X0] :
( ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0)) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f138,plain,
( ~ axiom_M
| ! [X0] : is_a_theorem(implies(necessarily(X0),X0)) ),
inference(ennf_transformation,[],[f95]) ).
fof(f141,plain,
( ? [X0,X1] : ~ is_a_theorem(strict_implies(and(X0,X1),and(X1,X0)))
| axiom_m1 ),
inference(ennf_transformation,[],[f92]) ).
fof(f143,plain,
( ~ op_strict_implies
| ! [X0,X1] : strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
inference(ennf_transformation,[],[f75]) ).
fof(f145,plain,
( ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0)))
| axiom_m1 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f141]) ).
fof(f146,plain,
! [X0,X1] :
( ~ modus_ponens
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f147,plain,
! [X0,X1] :
( ~ substitution_of_equivalents
| ~ is_a_theorem(equiv(X0,X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f148,plain,
! [X0,X1] :
( ~ modus_tollens
| is_a_theorem(implies(implies(not(X1),not(X0)),implies(X0,X1))) ),
inference(cnf_transformation,[],[f120]) ).
fof(f149,plain,
! [X0,X1] :
( ~ implies_1
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(cnf_transformation,[],[f121]) ).
fof(f150,plain,
! [X0,X1] :
( ~ implies_2
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f152,plain,
! [X0,X1] :
( ~ and_1
| is_a_theorem(implies(and(X0,X1),X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f153,plain,
! [X0,X1] :
( ~ and_2
| is_a_theorem(implies(and(X0,X1),X1)) ),
inference(cnf_transformation,[],[f125]) ).
fof(f154,plain,
! [X0,X1] :
( ~ and_3
| is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
inference(cnf_transformation,[],[f126]) ).
fof(f155,plain,
! [X0,X1] :
( ~ or_1
| is_a_theorem(implies(X0,or(X0,X1))) ),
inference(cnf_transformation,[],[f127]) ).
fof(f156,plain,
! [X0,X1] :
( ~ or_2
| is_a_theorem(implies(X1,or(X0,X1))) ),
inference(cnf_transformation,[],[f128]) ).
fof(f161,plain,
! [X0,X1] :
( ~ op_or
| or(X0,X1) = not(and(not(X0),not(X1))) ),
inference(cnf_transformation,[],[f133]) ).
fof(f162,plain,
! [X0,X1] :
( ~ op_implies_and
| implies(X0,X1) = not(and(X0,not(X1))) ),
inference(cnf_transformation,[],[f134]) ).
fof(f163,plain,
! [X0,X1] :
( ~ op_equiv
| equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0)) ),
inference(cnf_transformation,[],[f135]) ).
fof(f165,plain,
op_implies_and,
inference(cnf_transformation,[],[f33]) ).
fof(f167,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f168,plain,
modus_tollens,
inference(cnf_transformation,[],[f36]) ).
fof(f169,plain,
implies_1,
inference(cnf_transformation,[],[f37]) ).
fof(f170,plain,
implies_2,
inference(cnf_transformation,[],[f38]) ).
fof(f172,plain,
and_1,
inference(cnf_transformation,[],[f40]) ).
fof(f173,plain,
and_2,
inference(cnf_transformation,[],[f41]) ).
fof(f174,plain,
and_3,
inference(cnf_transformation,[],[f42]) ).
fof(f175,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f176,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f181,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f49]) ).
fof(f182,plain,
! [X0] :
( ~ necessitation
| ~ is_a_theorem(X0)
| is_a_theorem(necessarily(X0)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f184,plain,
! [X0] :
( ~ axiom_M
| is_a_theorem(implies(necessarily(X0),X0)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f187,plain,
( ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0)))
| axiom_m1 ),
inference(cnf_transformation,[],[f145]) ).
fof(f189,plain,
! [X0,X1] :
( ~ op_strict_implies
| strict_implies(X0,X1) = necessarily(implies(X0,X1)) ),
inference(cnf_transformation,[],[f143]) ).
fof(f192,plain,
necessitation,
inference(cnf_transformation,[],[f78]) ).
fof(f194,plain,
axiom_M,
inference(cnf_transformation,[],[f80]) ).
fof(f198,plain,
op_or,
inference(cnf_transformation,[],[f84]) ).
fof(f199,plain,
op_strict_implies,
inference(cnf_transformation,[],[f86]) ).
fof(f200,plain,
op_equiv,
inference(cnf_transformation,[],[f87]) ).
fof(f202,plain,
~ axiom_m1,
inference(cnf_transformation,[],[f91]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ modus_ponens
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(cnf_transformation,[],[f146]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ substitution_of_equivalents
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(cnf_transformation,[],[f147]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
| ~ modus_tollens ),
inference(cnf_transformation,[],[f148]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,X0)))
| ~ implies_1 ),
inference(cnf_transformation,[],[f149]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
| ~ implies_2 ),
inference(cnf_transformation,[],[f150]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(and(X0,X1),X0))
| ~ and_1 ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(and(X0,X1),X1))
| ~ and_2 ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,implies(X1,and(X0,X1))))
| ~ and_3 ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,or(X1,X0)))
| ~ or_2 ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] :
( ( not(and(not(X0),not(X1))) = or(X0,X1) )
| ~ op_or ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i] :
( ( not(and(X0,not(X1))) = implies(X0,X1) )
| ~ op_implies_and ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( ( and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) )
| ~ op_equiv ),
inference(cnf_transformation,[],[f163]) ).
tcf(c_68,plain,
op_implies_and,
inference(cnf_transformation,[],[f165]) ).
tcf(c_70,plain,
modus_ponens,
inference(cnf_transformation,[],[f167]) ).
tcf(c_71,plain,
modus_tollens,
inference(cnf_transformation,[],[f168]) ).
tcf(c_72,plain,
implies_1,
inference(cnf_transformation,[],[f169]) ).
tcf(c_73,plain,
implies_2,
inference(cnf_transformation,[],[f170]) ).
tcf(c_75,plain,
and_1,
inference(cnf_transformation,[],[f172]) ).
tcf(c_76,plain,
and_2,
inference(cnf_transformation,[],[f173]) ).
tcf(c_77,plain,
and_3,
inference(cnf_transformation,[],[f174]) ).
tcf(c_78,plain,
or_1,
inference(cnf_transformation,[],[f175]) ).
tcf(c_79,plain,
or_2,
inference(cnf_transformation,[],[f176]) ).
tcf(c_84,plain,
substitution_of_equivalents,
inference(cnf_transformation,[],[f181]) ).
tcf(c_85,plain,
! [X0: $i] :
( is_a_theorem(necessarily(X0))
| ~ necessitation
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_87,plain,
! [X0: $i] :
( is_a_theorem(implies(necessarily(X0),X0))
| ~ axiom_M ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_90,plain,
( axiom_m1
| ~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] :
( ( necessarily(implies(X0,X1)) = strict_implies(X0,X1) )
| ~ op_strict_implies ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_95,plain,
necessitation,
inference(cnf_transformation,[],[f192]) ).
tcf(c_97,plain,
axiom_M,
inference(cnf_transformation,[],[f194]) ).
tcf(c_101,plain,
op_or,
inference(cnf_transformation,[],[f198]) ).
tcf(c_102,plain,
op_strict_implies,
inference(cnf_transformation,[],[f199]) ).
tcf(c_103,plain,
op_equiv,
inference(cnf_transformation,[],[f200]) ).
tcf(c_105,negated_conjecture,
~ axiom_m1,
inference(cnf_transformation,[],[f202]) ).
tcf(c_131,plain,
! [X0: $i] : is_a_theorem(implies(necessarily(X0),X0)),
inference(global_subsumption_just,[status(thm)],[c_87,c_97,c_87]) ).
tcf(c_137,plain,
! [X0: $i] :
( is_a_theorem(necessarily(X0))
| ~ is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_85,c_95,c_85]) ).
tcf(c_140,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,or(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_59,c_79,c_59]) ).
tcf(c_143,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,or(X0,X1))),
inference(global_subsumption_just,[status(thm)],[c_58,c_78,c_58]) ).
tcf(c_145,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(and(X0,X1),X1)),
inference(global_subsumption_just,[status(thm)],[c_56,c_76,c_56]) ).
tcf(c_148,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(and(X0,X1),X0)),
inference(global_subsumption_just,[status(thm)],[c_55,c_75,c_55]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_52,c_72,c_52]) ).
tcf(c_159,plain,
~ is_a_theorem(strict_implies(and(sK0,sK1),and(sK1,sK0))),
inference(global_subsumption_just,[status(thm)],[c_90,c_105,c_90]) ).
tcf(c_166,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,implies(X1,and(X0,X1)))),
inference(global_subsumption_just,[status(thm)],[c_57,c_77,c_57]) ).
tcf(c_169,plain,
! [X0: $i,X1: $i] : necessarily(implies(X0,X1)) = strict_implies(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_92,c_102,c_92]) ).
tcf(c_172,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ is_a_theorem(equiv(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_50,c_84,c_50]) ).
tcf(c_175,plain,
! [X0: $i,X1: $i] : not(and(X0,not(X1))) = implies(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_65,c_68,c_65]) ).
tcf(c_178,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(global_subsumption_just,[status(thm)],[c_53,c_73,c_53]) ).
tcf(c_181,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))),
inference(global_subsumption_just,[status(thm)],[c_51,c_71,c_51]) ).
tcf(c_184,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(global_subsumption_just,[status(thm)],[c_49,c_70,c_49]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ),
inference(renaming,[status(thm)],[c_184]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] : not(and(not(X0),not(X1))) = or(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_64,c_101,c_64]) ).
tcf(c_195,plain,
! [X0: $i,X1: $i] : and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1),
inference(global_subsumption_just,[status(thm)],[c_66,c_103,c_66]) ).
tcf(c_323,plain,
! [X0: $i,X1: $i] : implies(not(X0),X1) = or(X0,X1),
inference(demodulation,[status(thm)],[c_189,c_175]) ).
tcf(c_324,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(demodulation,[status(thm)],[c_181,c_323]) ).
tcf(c_2010,plain,
! [X0: $i,X1: $i,X2: $i] : or(and(X0,not(X1)),X2) = implies(implies(X0,X1),X2),
inference(superposition,[status(thm)],[c_175,c_323]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : implies(implies(X0,and(X1,not(X2))),X3) = or(and(X0,implies(X1,X2)),X3),
inference(superposition,[status(thm)],[c_175,c_2010]) ).
tcf(c_17850,plain,
! [X0: $i,X1: $i] : is_a_theorem(or(X0,or(X1,not(X0)))),
inference(superposition,[status(thm)],[c_323,c_140]) ).
tcf(c_17868,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(or(X0,not(not(X1))),or(X1,X0))),
inference(superposition,[status(thm)],[c_323,c_324]) ).
tcf(c_18190,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_178,c_185]) ).
tcf(c_18194,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_166,c_185]) ).
tcf(c_18304,plain,
! [X0: $i] : is_a_theorem(implies(X0,and(X0,X0))),
inference(superposition,[status(thm)],[c_166,c_18190]) ).
tcf(c_18642,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_18194,c_185]) ).
tcf(c_19774,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,not(not(X1)))) ),
inference(superposition,[status(thm)],[c_17868,c_185]) ).
tcf(c_20953,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_195,c_18642]) ).
tcf(c_53111,plain,
! [X0: $i] :
( is_a_theorem(equiv(and(X0,X0),X0))
| ~ is_a_theorem(implies(and(X0,X0),X0)) ),
inference(superposition,[status(thm)],[c_18304,c_20953]) ).
tcf(c_53220,plain,
! [X0: $i] : is_a_theorem(equiv(and(X0,X0),X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_53111,c_148]) ).
tcf(c_54709,plain,
! [X0: $i] : and(X0,X0) = X0,
inference(superposition,[status(thm)],[c_53220,c_172]) ).
tcf(c_54767,plain,
! [X0: $i] : implies(not(X0),X0) = not(not(X0)),
inference(superposition,[status(thm)],[c_54709,c_175]) ).
tcf(c_54994,plain,
! [X0: $i] : or(X0,X0) = not(not(X0)),
inference(demodulation,[status(thm)],[c_54767,c_323]) ).
tcf(c_59749,plain,
! [X0: $i] : is_a_theorem(implies(X0,not(not(X0)))),
inference(superposition,[status(thm)],[c_54994,c_143]) ).
tcf(c_59779,plain,
! [X0: $i] : is_a_theorem(or(X0,not(not(not(X0))))),
inference(superposition,[status(thm)],[c_54994,c_17850]) ).
tcf(c_61797,plain,
! [X0: $i] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(implies(not(not(X0)),X0)) ),
inference(superposition,[status(thm)],[c_59749,c_20953]) ).
tcf(c_61801,plain,
! [X0: $i] :
( is_a_theorem(equiv(not(not(X0)),X0))
| ~ is_a_theorem(or(not(X0),X0)) ),
inference(demodulation,[status(thm)],[c_61797,c_323]) ).
tcf(c_61875,plain,
! [X0: $i] : is_a_theorem(or(not(X0),X0)),
inference(superposition,[status(thm)],[c_59779,c_19774]) ).
tcf(c_61897,plain,
! [X0: $i] : is_a_theorem(equiv(not(not(X0)),X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_61801,c_61875]) ).
tcf(c_62384,plain,
! [X0: $i] : not(not(X0)) = X0,
inference(superposition,[status(thm)],[c_61897,c_172]) ).
tcf(c_62507,plain,
! [X0: $i,X1: $i] : not(implies(X0,X1)) = and(X0,not(X1)),
inference(superposition,[status(thm)],[c_175,c_62384]) ).
tcf(c_64070,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(strict_implies(X0,X1))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_169,c_137]) ).
tcf(c_64075,plain,
! [X0: $i,X1: $i] : not(not(implies(X0,X1))) = implies(X0,X1),
inference(demodulation,[status(thm)],[c_175,c_62507]) ).
tcf(c_64091,plain,
! [X0: $i,X1: $i] : not(not(or(X0,X1))) = or(X0,X1),
inference(superposition,[status(thm)],[c_323,c_64075]) ).
tcf(c_64100,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,or(X1,and(X0,not(X1))))),
inference(superposition,[status(thm)],[c_323,c_166]) ).
tcf(c_64106,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,or(X1,not(implies(X0,X1))))),
inference(demodulation,[status(thm)],[c_64100,c_62507]) ).
tcf(c_64165,plain,
! [X0: $i,X1: $i,X2: $i] : not(implies(X0,not(implies(X1,X2)))) = and(X0,implies(X1,X2)),
inference(superposition,[status(thm)],[c_64075,c_62507]) ).
tcf(c_64234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : implies(implies(X0,not(implies(X1,X2))),X3) = or(and(X0,implies(X1,X2)),X3),
inference(demodulation,[status(thm)],[c_2417,c_62507]) ).
tcf(c_64237,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : implies(implies(X0,not(or(X1,X2))),X3) = or(and(X0,or(X1,X2)),X3),
inference(superposition,[status(thm)],[c_323,c_64234]) ).
tcf(c_64519,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(implies(X0,implies(X0,X1))) ),
inference(superposition,[status(thm)],[c_178,c_185]) ).
tcf(c_64523,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,and(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_166,c_185]) ).
tcf(c_64533,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(or(X0,not(X1))) ),
inference(superposition,[status(thm)],[c_324,c_185]) ).
tcf(c_64547,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(or(X1,not(implies(X0,X1))))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_64106,c_185]) ).
tcf(c_64858,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(and(X0,X1))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_64523,c_185]) ).
tcf(c_65557,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : or(implies(X0,not(implies(X1,X2))),X3) = implies(and(X0,implies(X1,X2)),X3),
inference(superposition,[status(thm)],[c_64165,c_323]) ).
tcf(c_65934,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(implies(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_64547,c_64533]) ).
tcf(c_66120,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(X0,X1))
| ~ is_a_theorem(implies(X1,X0))
| ~ is_a_theorem(implies(X0,X1)) ),
inference(superposition,[status(thm)],[c_195,c_64858]) ).
tcf(c_67477,plain,
! [X0: $i] : is_a_theorem(implies(X0,X0)),
inference(superposition,[status(thm)],[c_150,c_64519]) ).
tcf(c_67479,plain,
! [X0: $i] : is_a_theorem(implies(X0,and(X0,X0))),
inference(superposition,[status(thm)],[c_166,c_64519]) ).
tcf(c_67541,plain,
! [X0: $i] : is_a_theorem(or(X0,and(not(X0),not(X0)))),
inference(superposition,[status(thm)],[c_323,c_67479]) ).
tcf(c_67550,plain,
! [X0: $i] : is_a_theorem(or(X0,not(or(X0,X0)))),
inference(demodulation,[status(thm)],[c_67541,c_323,c_62507]) ).
tcf(c_67697,plain,
! [X0: $i] : is_a_theorem(implies(or(X0,X0),X0)),
inference(superposition,[status(thm)],[c_67550,c_64533]) ).
tcf(c_68219,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(X0,and(X0,X1)))
| ~ is_a_theorem(implies(X0,and(X0,X1))) ),
inference(superposition,[status(thm)],[c_148,c_66120]) ).
tcf(c_68257,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(and(X0,X1),X1)) ),
inference(superposition,[status(thm)],[c_64523,c_66120]) ).
tcf(c_68279,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(X0,implies(X1,X0)))
| ~ is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(superposition,[status(thm)],[c_65934,c_66120]) ).
tcf(c_68300,plain,
! [X0: $i] :
( is_a_theorem(equiv(X0,or(X0,X0)))
| ~ is_a_theorem(implies(X0,or(X0,X0))) ),
inference(superposition,[status(thm)],[c_67697,c_66120]) ).
tcf(c_68304,plain,
! [X0: $i] : is_a_theorem(equiv(X0,or(X0,X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_68300,c_143]) ).
tcf(c_68307,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(X1,implies(X0,X1)))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68279,c_150]) ).
tcf(c_68308,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(equiv(and(X0,X1),X1))
| ~ is_a_theorem(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_68257,c_145]) ).
tcf(c_68357,plain,
! [X0: $i] : or(X0,X0) = X0,
inference(superposition,[status(thm)],[c_68304,c_172]) ).
tcf(c_68425,plain,
! [X0: $i] : not(not(X0)) = X0,
inference(superposition,[status(thm)],[c_68357,c_64091]) ).
tcf(c_68468,plain,
! [X0: $i,X1: $i,X2: $i] : implies(implies(X0,not(X1)),X2) = or(and(X0,X1),X2),
inference(superposition,[status(thm)],[c_68357,c_64237]) ).
tcf(c_68670,plain,
! [X0: $i,X1: $i] : or(not(X0),X1) = implies(X0,X1),
inference(superposition,[status(thm)],[c_68425,c_323]) ).
tcf(c_68680,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(implies(not(X1),X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(superposition,[status(thm)],[c_68425,c_64533]) ).
tcf(c_68701,plain,
! [X0: $i,X1: $i] :
( is_a_theorem(or(X1,X0))
| ~ is_a_theorem(or(X0,X1)) ),
inference(demodulation,[status(thm)],[c_68680,c_323]) ).
tcf(c_68860,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(superposition,[status(thm)],[c_68670,c_324]) ).
tcf(c_68915,plain,
! [X0: $i,X1: $i] : is_a_theorem(or(and(X0,X1),implies(X1,not(X0)))),
inference(demodulation,[status(thm)],[c_68860,c_68468]) ).
tcf(c_72703,plain,
! [X0: $i,X1: $i] :
( ( implies(X0,X1) = X1 )
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_68307,c_172]) ).
tcf(c_72720,plain,
! [X0: $i,X1: $i] :
( ( and(X0,X1) = X1 )
| ~ is_a_theorem(X0) ),
inference(superposition,[status(thm)],[c_68308,c_172]) ).
tcf(c_72856,plain,
! [X0: $i,X1: $i] : implies(implies(X0,X0),X1) = X1,
inference(superposition,[status(thm)],[c_67477,c_72703]) ).
tcf(c_73006,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(X0,and(X0,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_72856,c_166]) ).
tcf(c_73285,plain,
! [X0: $i,X1: $i] : is_a_theorem(equiv(X0,and(X0,implies(X1,X1)))),
inference(superposition,[status(thm)],[c_73006,c_68219]) ).
tcf(c_73325,plain,
! [X0: $i,X1: $i] : and(implies(necessarily(X0),X0),X1) = X1,
inference(superposition,[status(thm)],[c_131,c_72720]) ).
tcf(c_78315,plain,
! [X0: $i,X1: $i] : and(X0,implies(X1,X1)) = X0,
inference(superposition,[status(thm)],[c_73285,c_172]) ).
tcf(c_78432,plain,
! [X0: $i,X1: $i] : implies(necessarily(X0),X0) = implies(X1,X1),
inference(superposition,[status(thm)],[c_78315,c_73325]) ).
tcf(c_78440,plain,
! [X0: $i] : implies(X0,X0) = iPr_def_10,
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_78432]) ).
tcf(c_78463,plain,
! [X0: $i] : implies(iPr_def_10,X0) = X0,
inference(demodulation,[status(thm)],[c_72856,c_78440]) ).
tcf(c_79517,plain,
! [X0: $i,X1: $i,X2: $i] : or(implies(X0,not(X1)),X2) = implies(and(X0,X1),X2),
inference(superposition,[status(thm)],[c_78463,c_65557]) ).
tcf(c_91651,plain,
! [X0: $i,X1: $i] : is_a_theorem(or(implies(X0,not(X1)),and(X1,X0))),
inference(superposition,[status(thm)],[c_68915,c_68701]) ).
tcf(c_91661,plain,
! [X0: $i,X1: $i] : is_a_theorem(implies(and(X0,X1),and(X1,X0))),
inference(demodulation,[status(thm)],[c_91651,c_79517]) ).
tcf(c_91716,plain,
! [X0: $i,X1: $i] : is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))),
inference(superposition,[status(thm)],[c_91661,c_64070]) ).
tcf(c_91742,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_159,c_91716]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL541+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 23:41:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 165.40/25.47 % SZS status Started for theBenchmark.p
% 165.40/25.47 % SZS status Theorem for theBenchmark.p
% 165.40/25.47
% 165.40/25.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 165.40/25.47
% 165.40/25.47 % ------ iProver source info
% 165.40/25.47
% 165.40/25.47 % git: date: 2026-07-19 20:42:38 +0200
% 165.40/25.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 165.40/25.47 % git: non_committed_changes: false
% 165.40/25.47
% 165.40/25.47 % ------ Parsing...
% 165.40/25.47 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 165.40/25.47
% 165.40/25.47 % ------ Preprocessing... sup_sim: 3 sf_s rm: 28 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 165.40/25.47
% 165.40/25.47 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 165.40/25.47
% 165.40/25.47 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 165.40/25.47 % ------ Proving...
% 165.40/25.47 % ------ Problem Properties
% 165.40/25.47
% 165.40/25.47 %
% 165.40/25.47 % clauses 27
% 165.40/25.47 % conjectures 0
% 165.40/25.47 % EPR 0
% 165.40/25.47 % Horn 27
% 165.40/25.47 % unary 24
% 165.40/25.47 % binary 2
% 165.40/25.47 % lits 31
% 165.40/25.47 % lits eq 7
% 165.40/25.47 % fd_pure 0
% 165.40/25.47 % fd_pseudo 0
% 165.40/25.47 % fd_cond 0
% 165.40/25.47 % fd_pseudo_cond 1
% 165.40/25.47 % AC symbols 0
% 165.40/25.47
% 165.40/25.47 % ------ Input Options Time Limit: Unbounded
% 165.40/25.47
% 165.40/25.47
% 165.40/25.47 % ------
% 165.40/25.47 % Current options:
% 165.40/25.47 % ------
% 165.40/25.47
% 165.40/25.47
% 165.40/25.47 %
% 165.40/25.47
% 165.40/25.47 % ------ Proving...
% 165.40/25.47 %
% 165.40/25.47
% 165.40/25.47 % SZS status Theorem for theBenchmark.p
% 165.40/25.47
% 165.40/25.47 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 165.40/25.48
% 165.40/25.48
%------------------------------------------------------------------------------