TSTP Solution File: KLE026+2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:14:45 EDT 2022
% Result : Theorem 0.58s 0.74s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 112 ( 60 unt; 0 def)
% Number of atoms : 202 ( 122 equ)
% Maximal formula atoms : 10 ( 1 avg)
% Number of connectives : 166 ( 76 ~; 59 |; 18 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 157 ( 5 sgn 76 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(additive_associativity,axiom,
! [C,B,A] : addition(A,addition(B,C)) = addition(addition(A,B),C) ).
fof(additive_idempotence,axiom,
! [A] : addition(A,A) = A ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(multiplicative_left_identity,axiom,
! [A] : multiplication(one,A) = A ).
fof(left_distributivity,axiom,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)) ).
fof(order,axiom,
! [A,B] :
( leq(A,B)
<=> addition(A,B) = B ) ).
fof(test_1,axiom,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ) ).
fof(test_2,axiom,
! [X0,X1] :
( complement(X1,X0)
<=> ( multiplication(X0,X1) = zero
& multiplication(X1,X0) = zero
& addition(X0,X1) = one ) ) ).
fof(goals,conjecture,
! [X0,X1,X2] :
( ( test(X1)
& test(X2) )
=> ( multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2)
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ) ) ).
fof(subgoal_0,plain,
! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) )
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0,X1,X2] :
( ( test(X1)
& test(X2)
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2) )
=> leq(multiplication(X1,X0),multiplication(X0,X2)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(canonicalize,[],[order]) ).
fof(normalize_0_1,plain,
! [A,B] :
( addition(A,B) != B
<=> ~ leq(A,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B] :
( ( addition(A,B) != B
| leq(A,B) )
& ( ~ leq(A,B)
| addition(A,B) = B ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [A,B] :
( addition(A,B) != B
| leq(A,B) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[additive_associativity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : addition(A,A) = A,
inference(canonicalize,[],[additive_idempotence]) ).
fof(normalize_0_7,plain,
! [A] : addition(A,A) = A,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[left_distributivity]) ).
fof(normalize_0_9,plain,
! [A,B,C] : multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
? [X0,X1,X2] :
( ~ leq(multiplication(X1,X0),multiplication(X0,X2))
& multiplication(X1,X0) = multiplication(multiplication(X1,X0),X2)
& test(X1)
& test(X2) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_11,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
& multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
& test(skolemFOFtoCNF_X1_1)
& test(skolemFOFtoCNF_X2) ),
inference(skolemize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_14,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_16,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
test(skolemFOFtoCNF_X1_1),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_18,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(canonicalize,[],[test_1]) ).
fof(normalize_0_19,plain,
! [X0] :
( ~ test(X0)
<=> ! [X1] : ~ complement(X1,X0) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| test(X0) )
& ( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ) ),
inference(clausify,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X0] :
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(conjunct,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(canonicalize,[],[test_2]) ).
fof(normalize_0_23,plain,
! [X0,X1] :
( ~ complement(X1,X0)
<=> ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero ) ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X0,X1] :
( ( ~ complement(X1,X0)
| addition(X0,X1) = one )
& ( ~ complement(X1,X0)
| multiplication(X0,X1) = zero )
& ( ~ complement(X1,X0)
| multiplication(X1,X0) = zero )
& ( addition(X0,X1) != one
| multiplication(X0,X1) != zero
| multiplication(X1,X0) != zero
| complement(X1,X0) ) ),
inference(clausify,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [A] : multiplication(one,A) = A,
inference(canonicalize,[],[multiplicative_left_identity]) ).
fof(normalize_0_27,plain,
! [A] : multiplication(one,A) = A,
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
( addition(A,B) != B
| leq(A,B) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( addition(X_53,addition(X_53,X_26)) != addition(X_53,X_26)
| leq(X_53,addition(X_53,X_26)) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(X_53)),bind(B,$fot(addition(X_53,X_26)))]]) ).
cnf(refute_0_2,plain,
addition(A,addition(B,C)) = addition(addition(A,B),C),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
addition(X_25,addition(X_25,X_26)) = addition(addition(X_25,X_25),X_26),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_25)),bind(B,$fot(X_25)),bind(C,$fot(X_26))]]) ).
cnf(refute_0_4,plain,
addition(A,A) = A,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
addition(X_25,X_25) = X_25,
inference(subst,[],[refute_0_4:[bind(A,$fot(X_25))]]) ).
cnf(refute_0_6,plain,
( addition(X_25,X_25) != X_25
| addition(X_25,addition(X_25,X_26)) != addition(addition(X_25,X_25),X_26)
| addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_25,addition(X_25,X_26)),addition(addition(X_25,X_25),X_26)) ),[1,0],$fot(X_25)]]) ).
cnf(refute_0_7,plain,
( addition(X_25,addition(X_25,X_26)) != addition(addition(X_25,X_25),X_26)
| addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26) ),
inference(resolve,[$cnf( $equal(addition(X_25,X_25),X_25) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
addition(X_25,addition(X_25,X_26)) = addition(X_25,X_26),
inference(resolve,[$cnf( $equal(addition(X_25,addition(X_25,X_26)),addition(addition(X_25,X_25),X_26)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
addition(X_53,addition(X_53,X_26)) = addition(X_53,X_26),
inference(subst,[],[refute_0_8:[bind(X_25,$fot(X_53))]]) ).
cnf(refute_0_10,plain,
( addition(X_53,X_26) != addition(X_53,X_26)
| addition(X_53,addition(X_53,X_26)) != addition(X_53,X_26)
| addition(X_53,addition(X_53,X_26)) = addition(X_53,X_26) ),
introduced(tautology,[equality,[$cnf( $equal(addition(X_53,addition(X_53,X_26)),addition(X_53,X_26)) ),[0,1],$fot(addition(X_53,X_26))]]) ).
cnf(refute_0_11,plain,
( addition(X_53,X_26) != addition(X_53,X_26)
| addition(X_53,addition(X_53,X_26)) = addition(X_53,X_26) ),
inference(resolve,[$cnf( $equal(addition(X_53,addition(X_53,X_26)),addition(X_53,X_26)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
( addition(X_53,X_26) != addition(X_53,X_26)
| leq(X_53,addition(X_53,X_26)) ),
inference(resolve,[$cnf( $equal(addition(X_53,addition(X_53,X_26)),addition(X_53,X_26)) )],[refute_0_11,refute_0_1]) ).
cnf(refute_0_13,plain,
addition(X_53,X_26) = addition(X_53,X_26),
introduced(tautology,[refl,[$fot(addition(X_53,X_26))]]) ).
cnf(refute_0_14,plain,
leq(X_53,addition(X_53,X_26)),
inference(resolve,[$cnf( $equal(addition(X_53,X_26),addition(X_53,X_26)) )],[refute_0_13,refute_0_12]) ).
cnf(refute_0_15,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),
inference(subst,[],[refute_0_14:[bind(X_26,$fot(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(X_53,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)))]]) ).
cnf(refute_0_16,plain,
multiplication(addition(A,B),C) = addition(multiplication(A,C),multiplication(B,C)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_17,plain,
multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_16:[bind(A,$fot(X_14)),bind(B,$fot(skolemFOFtoCNF_X1_1)),bind(C,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_18,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_20,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_21,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_22,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( multiplication(A,multiplication(B,C)) != multiplication(multiplication(A,B),C)
| multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(A,multiplication(B,C)))),bind(Y,$fot(multiplication(multiplication(A,B),C)))]]) ).
cnf(refute_0_24,plain,
multiplication(multiplication(A,B),C) = multiplication(A,multiplication(B,C)),
inference(resolve,[$cnf( $equal(multiplication(A,multiplication(B,C)),multiplication(multiplication(A,B),C)) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(subst,[],[refute_0_24:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(skolemFOFtoCNF_X0)),bind(C,$fot(skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_26,plain,
( multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) ),[1],$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_27,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)
| multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) = multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),skolemFOFtoCNF_X2)) )],[refute_0_18,refute_0_27]) ).
cnf(refute_0_29,plain,
( multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) != multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(Y,$fot(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_30,plain,
multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)
| multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1,1],$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_32,plain,
( multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) ),
inference(resolve,[$cnf( $equal(multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_17,refute_0_32]) ).
cnf(refute_0_34,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_35,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_36,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_36:[bind(A,$fot(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))),bind(B,$fot(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_38,plain,
( addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) ),[1],$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))]]) ).
cnf(refute_0_39,plain,
( multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))
| multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( $equal(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0))) )],[refute_0_33,refute_0_39]) ).
cnf(refute_0_41,plain,
( multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))),bind(Y,$fot(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))))]]) ).
cnf(refute_0_42,plain,
addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) = multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( $equal(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) != multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) ),[1],$fot(multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_44,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_14,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),addition(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(X_14,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))) )],[refute_0_15,refute_0_44]) ).
cnf(refute_0_46,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_64,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_45:[bind(X_14,$fot(X_64))]]) ).
cnf(refute_0_47,plain,
addition(skolemFOFtoCNF_X1_1,X_64) = addition(X_64,skolemFOFtoCNF_X1_1),
inference(subst,[],[refute_0_34:[bind(A,$fot(skolemFOFtoCNF_X1_1)),bind(B,$fot(X_64))]]) ).
cnf(refute_0_48,plain,
( addition(skolemFOFtoCNF_X1_1,X_64) != addition(X_64,skolemFOFtoCNF_X1_1)
| addition(X_64,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,X_64) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(addition(skolemFOFtoCNF_X1_1,X_64))),bind(Y,$fot(addition(X_64,skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_49,plain,
addition(X_64,skolemFOFtoCNF_X1_1) = addition(skolemFOFtoCNF_X1_1,X_64),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,X_64),addition(X_64,skolemFOFtoCNF_X1_1)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( addition(X_64,skolemFOFtoCNF_X1_1) != addition(skolemFOFtoCNF_X1_1,X_64)
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_64,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_64),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_64,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1,0],$fot(addition(skolemFOFtoCNF_X1_1,X_64))]]) ).
cnf(refute_0_51,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_64,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_64),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(X_64,skolemFOFtoCNF_X1_1),addition(skolemFOFtoCNF_X1_1,X_64)) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,X_64),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(X_64,skolemFOFtoCNF_X1_1),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_46,refute_0_51]) ).
cnf(refute_0_53,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(subst,[],[refute_0_52:[bind(X_64,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_54,plain,
test(skolemFOFtoCNF_X1_1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_55,plain,
( ~ test(X0)
| complement(skolemFOFtoCNF_X1(X0),X0) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_56,plain,
( ~ test(skolemFOFtoCNF_X1_1)
| complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) ),
inference(subst,[],[refute_0_55:[bind(X0,$fot(skolemFOFtoCNF_X1_1))]]) ).
cnf(refute_0_57,plain,
complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1),
inference(resolve,[$cnf( test(skolemFOFtoCNF_X1_1) )],[refute_0_54,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_59,plain,
( ~ complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1)
| addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(skolemFOFtoCNF_X1_1)),bind(X1,$fot(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)))]]) ).
cnf(refute_0_60,plain,
addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) = one,
inference(resolve,[$cnf( complement(skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1),skolemFOFtoCNF_X1_1) )],[refute_0_57,refute_0_59]) ).
cnf(refute_0_61,plain,
( addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)) != one
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1,0],$fot(one)]]) ).
cnf(refute_0_62,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),
inference(resolve,[$cnf( $equal(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),one) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(addition(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X1(skolemFOFtoCNF_X1_1)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_53,refute_0_62]) ).
cnf(refute_0_64,plain,
multiplication(one,A) = A,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_65,plain,
multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) = multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2),
inference(subst,[],[refute_0_64:[bind(A,$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))]]) ).
cnf(refute_0_66,plain,
( multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) != multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)
| ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
introduced(tautology,[equality,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) ),[1],$fot(multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))]]) ).
cnf(refute_0_67,plain,
( ~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)))
| leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) ),
inference(resolve,[$cnf( $equal(multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(one,multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2))) )],[refute_0_63,refute_0_67]) ).
cnf(refute_0_69,plain,
~ leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_70,plain,
$false,
inference(resolve,[$cnf( leq(multiplication(skolemFOFtoCNF_X1_1,skolemFOFtoCNF_X0),multiplication(skolemFOFtoCNF_X0,skolemFOFtoCNF_X2)) )],[refute_0_68,refute_0_69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE026+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 16 14:27:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.58/0.74 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.74
% 0.58/0.74 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.58/0.75
%------------------------------------------------------------------------------