TSTP Solution File: KLE150+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 02:15:35 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 17
% Syntax : Number of formulae : 73 ( 52 unt; 0 def)
% Number of atoms : 103 ( 102 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 66 ( 36 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 91 ( 3 sgn 27 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(additive_commutativity,axiom,
! [A,B] : addition(A,B) = addition(B,A) ).
fof(multiplicative_associativity,axiom,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C) ).
fof(left_annihilation,axiom,
! [A] : multiplication(zero,A) = zero ).
fof(star_unfold1,axiom,
! [A] : addition(one,multiplication(A,star(A))) = star(A) ).
fof(infty_unfold1,axiom,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one) ).
fof(goals,conjecture,
! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)) ).
fof(subgoal_0,plain,
! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
inference(strip,[],[goals]) ).
fof(negate_0_0,plain,
~ ! [X0] : strong_iteration(multiplication(X0,zero)) = addition(one,multiplication(X0,zero)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X0] : strong_iteration(multiplication(X0,zero)) != addition(one,multiplication(X0,zero)),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != addition(one,multiplication(skolemFOFtoCNF_X0,zero)),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[star_unfold1]) ).
fof(normalize_0_3,plain,
! [A] : addition(one,multiplication(A,star(A))) = star(A),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[multiplicative_associativity]) ).
fof(normalize_0_5,plain,
! [A,B,C] : multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [A] : multiplication(zero,A) = zero,
inference(canonicalize,[],[left_annihilation]) ).
fof(normalize_0_7,plain,
! [A] : multiplication(zero,A) = zero,
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(canonicalize,[],[infty_unfold1]) ).
fof(normalize_0_9,plain,
! [A] : strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(canonicalize,[],[additive_commutativity]) ).
fof(normalize_0_11,plain,
! [A,B] : addition(A,B) = addition(B,A),
inference(specialize,[],[normalize_0_10]) ).
cnf(refute_0_0,plain,
strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != addition(one,multiplication(skolemFOFtoCNF_X0,zero)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
addition(one,multiplication(A,star(A))) = star(A),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
addition(one,multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))) = star(multiplication(X_28,X_29)),
inference(subst,[],[refute_0_1:[bind(A,$fot(multiplication(X_28,X_29)))]]) ).
cnf(refute_0_3,plain,
multiplication(A,multiplication(B,C)) = multiplication(multiplication(A,B),C),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))) = multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29))),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_28)),bind(B,$fot(X_29)),bind(C,$fot(star(multiplication(X_28,X_29))))]]) ).
cnf(refute_0_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))) != multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))
| multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29))) = multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))))),bind(Y,$fot(multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))))]]) ).
cnf(refute_0_9,plain,
multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29))) = multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))),
inference(resolve,[$cnf( $equal(multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))),multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))) )],[refute_0_4,refute_0_8]) ).
cnf(refute_0_10,plain,
( addition(one,multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))) != star(multiplication(X_28,X_29))
| multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29))) != multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29))))
| addition(one,multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29))))) = star(multiplication(X_28,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))),star(multiplication(X_28,X_29))) ),[0,1],$fot(multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29)))))]]) ).
cnf(refute_0_11,plain,
( addition(one,multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))) != star(multiplication(X_28,X_29))
| addition(one,multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29))))) = star(multiplication(X_28,X_29)) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29))),multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29))))) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
addition(one,multiplication(X_28,multiplication(X_29,star(multiplication(X_28,X_29))))) = star(multiplication(X_28,X_29)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(multiplication(X_28,X_29),star(multiplication(X_28,X_29)))),star(multiplication(X_28,X_29))) )],[refute_0_2,refute_0_11]) ).
cnf(refute_0_13,plain,
addition(one,multiplication(X_31,multiplication(zero,star(multiplication(X_31,zero))))) = star(multiplication(X_31,zero)),
inference(subst,[],[refute_0_12:[bind(X_28,$fot(X_31)),bind(X_29,$fot(zero))]]) ).
cnf(refute_0_14,plain,
multiplication(zero,A) = zero,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_15,plain,
multiplication(zero,star(multiplication(X_31,zero))) = zero,
inference(subst,[],[refute_0_14:[bind(A,$fot(star(multiplication(X_31,zero))))]]) ).
cnf(refute_0_16,plain,
( addition(one,multiplication(X_31,multiplication(zero,star(multiplication(X_31,zero))))) != star(multiplication(X_31,zero))
| multiplication(zero,star(multiplication(X_31,zero))) != zero
| addition(one,multiplication(X_31,zero)) = star(multiplication(X_31,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(addition(one,multiplication(X_31,multiplication(zero,star(multiplication(X_31,zero))))),star(multiplication(X_31,zero))) ),[0,1,1],$fot(zero)]]) ).
cnf(refute_0_17,plain,
( addition(one,multiplication(X_31,multiplication(zero,star(multiplication(X_31,zero))))) != star(multiplication(X_31,zero))
| addition(one,multiplication(X_31,zero)) = star(multiplication(X_31,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(zero,star(multiplication(X_31,zero))),zero) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
addition(one,multiplication(X_31,zero)) = star(multiplication(X_31,zero)),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_31,multiplication(zero,star(multiplication(X_31,zero))))),star(multiplication(X_31,zero))) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
addition(one,multiplication(skolemFOFtoCNF_X0,zero)) = star(multiplication(skolemFOFtoCNF_X0,zero)),
inference(subst,[],[refute_0_18:[bind(X_31,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_20,plain,
( addition(one,multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) = addition(one,multiplication(skolemFOFtoCNF_X0,zero)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)),addition(one,multiplication(skolemFOFtoCNF_X0,zero))) ),[1],$fot(star(multiplication(skolemFOFtoCNF_X0,zero)))]]) ).
cnf(refute_0_21,plain,
( strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) = addition(one,multiplication(skolemFOFtoCNF_X0,zero)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(skolemFOFtoCNF_X0,zero)),star(multiplication(skolemFOFtoCNF_X0,zero))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero)),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)),addition(one,multiplication(skolemFOFtoCNF_X0,zero))) )],[refute_0_21,refute_0_0]) ).
cnf(refute_0_23,plain,
strong_iteration(A) = addition(multiplication(A,strong_iteration(A)),one),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_24,plain,
addition(A,B) = addition(B,A),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_25,plain,
( addition(A,B) != addition(B,A)
| addition(B,A) = addition(A,B) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(addition(A,B))),bind(Y,$fot(addition(B,A)))]]) ).
cnf(refute_0_26,plain,
addition(B,A) = addition(A,B),
inference(resolve,[$cnf( $equal(addition(A,B),addition(B,A)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
addition(multiplication(A,strong_iteration(A)),one) = addition(one,multiplication(A,strong_iteration(A))),
inference(subst,[],[refute_0_26:[bind(A,$fot(one)),bind(B,$fot(multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_28,plain,
( addition(multiplication(A,strong_iteration(A)),one) != addition(one,multiplication(A,strong_iteration(A)))
| strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) ),[1],$fot(addition(one,multiplication(A,strong_iteration(A))))]]) ).
cnf(refute_0_29,plain,
( strong_iteration(A) != addition(multiplication(A,strong_iteration(A)),one)
| strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))) ),
inference(resolve,[$cnf( $equal(addition(multiplication(A,strong_iteration(A)),one),addition(one,multiplication(A,strong_iteration(A)))) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
strong_iteration(A) = addition(one,multiplication(A,strong_iteration(A))),
inference(resolve,[$cnf( $equal(strong_iteration(A),addition(multiplication(A,strong_iteration(A)),one)) )],[refute_0_23,refute_0_29]) ).
cnf(refute_0_31,plain,
strong_iteration(multiplication(X_28,X_29)) = addition(one,multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29)))),
inference(subst,[],[refute_0_30:[bind(A,$fot(multiplication(X_28,X_29)))]]) ).
cnf(refute_0_32,plain,
multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))) = multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))),
inference(subst,[],[refute_0_3:[bind(A,$fot(X_28)),bind(B,$fot(X_29)),bind(C,$fot(strong_iteration(multiplication(X_28,X_29))))]]) ).
cnf(refute_0_33,plain,
( multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))) != multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29)))
| multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))) = multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))))),bind(Y,$fot(multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29)))))]]) ).
cnf(refute_0_34,plain,
multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))) = multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))),
inference(resolve,[$cnf( $equal(multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))),multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29)))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))) != multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29))))
| strong_iteration(multiplication(X_28,X_29)) != addition(one,multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))))
| strong_iteration(multiplication(X_28,X_29)) = addition(one,multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29))))) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(multiplication(X_28,X_29)),addition(one,multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))))) ),[1,1],$fot(multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29)))))]]) ).
cnf(refute_0_36,plain,
( strong_iteration(multiplication(X_28,X_29)) != addition(one,multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))))
| strong_iteration(multiplication(X_28,X_29)) = addition(one,multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29))))) ),
inference(resolve,[$cnf( $equal(multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))),multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29))))) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
strong_iteration(multiplication(X_28,X_29)) = addition(one,multiplication(X_28,multiplication(X_29,strong_iteration(multiplication(X_28,X_29))))),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(X_28,X_29)),addition(one,multiplication(multiplication(X_28,X_29),strong_iteration(multiplication(X_28,X_29))))) )],[refute_0_31,refute_0_36]) ).
cnf(refute_0_38,plain,
strong_iteration(multiplication(X_34,zero)) = addition(one,multiplication(X_34,multiplication(zero,strong_iteration(multiplication(X_34,zero))))),
inference(subst,[],[refute_0_37:[bind(X_28,$fot(X_34)),bind(X_29,$fot(zero))]]) ).
cnf(refute_0_39,plain,
multiplication(zero,strong_iteration(multiplication(X_34,zero))) = zero,
inference(subst,[],[refute_0_14:[bind(A,$fot(strong_iteration(multiplication(X_34,zero))))]]) ).
cnf(refute_0_40,plain,
( multiplication(zero,strong_iteration(multiplication(X_34,zero))) != zero
| strong_iteration(multiplication(X_34,zero)) != addition(one,multiplication(X_34,multiplication(zero,strong_iteration(multiplication(X_34,zero)))))
| strong_iteration(multiplication(X_34,zero)) = addition(one,multiplication(X_34,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(multiplication(X_34,zero)),addition(one,multiplication(X_34,multiplication(zero,strong_iteration(multiplication(X_34,zero)))))) ),[1,1,1],$fot(zero)]]) ).
cnf(refute_0_41,plain,
( strong_iteration(multiplication(X_34,zero)) != addition(one,multiplication(X_34,multiplication(zero,strong_iteration(multiplication(X_34,zero)))))
| strong_iteration(multiplication(X_34,zero)) = addition(one,multiplication(X_34,zero)) ),
inference(resolve,[$cnf( $equal(multiplication(zero,strong_iteration(multiplication(X_34,zero))),zero) )],[refute_0_39,refute_0_40]) ).
cnf(refute_0_42,plain,
strong_iteration(multiplication(X_34,zero)) = addition(one,multiplication(X_34,zero)),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(X_34,zero)),addition(one,multiplication(X_34,multiplication(zero,strong_iteration(multiplication(X_34,zero)))))) )],[refute_0_38,refute_0_41]) ).
cnf(refute_0_43,plain,
addition(one,multiplication(X_34,zero)) = star(multiplication(X_34,zero)),
inference(subst,[],[refute_0_18:[bind(X_31,$fot(X_34))]]) ).
cnf(refute_0_44,plain,
( addition(one,multiplication(X_34,zero)) != star(multiplication(X_34,zero))
| strong_iteration(multiplication(X_34,zero)) != addition(one,multiplication(X_34,zero))
| strong_iteration(multiplication(X_34,zero)) = star(multiplication(X_34,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(multiplication(X_34,zero)),addition(one,multiplication(X_34,zero))) ),[1],$fot(star(multiplication(X_34,zero)))]]) ).
cnf(refute_0_45,plain,
( strong_iteration(multiplication(X_34,zero)) != addition(one,multiplication(X_34,zero))
| strong_iteration(multiplication(X_34,zero)) = star(multiplication(X_34,zero)) ),
inference(resolve,[$cnf( $equal(addition(one,multiplication(X_34,zero)),star(multiplication(X_34,zero))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
strong_iteration(multiplication(X_34,zero)) = star(multiplication(X_34,zero)),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(X_34,zero)),addition(one,multiplication(X_34,zero))) )],[refute_0_42,refute_0_45]) ).
cnf(refute_0_47,plain,
strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) = star(multiplication(skolemFOFtoCNF_X0,zero)),
inference(subst,[],[refute_0_46:[bind(X_34,$fot(skolemFOFtoCNF_X0))]]) ).
cnf(refute_0_48,plain,
( star(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) = star(multiplication(skolemFOFtoCNF_X0,zero)) ),
introduced(tautology,[equality,[$cnf( $equal(strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)),star(multiplication(skolemFOFtoCNF_X0,zero))) ),[1],$fot(star(multiplication(skolemFOFtoCNF_X0,zero)))]]) ).
cnf(refute_0_49,plain,
( star(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero))
| strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)) = star(multiplication(skolemFOFtoCNF_X0,zero)) ),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)),star(multiplication(skolemFOFtoCNF_X0,zero))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
star(multiplication(skolemFOFtoCNF_X0,zero)) != star(multiplication(skolemFOFtoCNF_X0,zero)),
inference(resolve,[$cnf( $equal(strong_iteration(multiplication(skolemFOFtoCNF_X0,zero)),star(multiplication(skolemFOFtoCNF_X0,zero))) )],[refute_0_49,refute_0_22]) ).
cnf(refute_0_51,plain,
star(multiplication(skolemFOFtoCNF_X0,zero)) = star(multiplication(skolemFOFtoCNF_X0,zero)),
introduced(tautology,[refl,[$fot(star(multiplication(skolemFOFtoCNF_X0,zero)))]]) ).
cnf(refute_0_52,plain,
$false,
inference(resolve,[$cnf( $equal(star(multiplication(skolemFOFtoCNF_X0,zero)),star(multiplication(skolemFOFtoCNF_X0,zero))) )],[refute_0_51,refute_0_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 07:13:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51
% 0.20/0.51 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.51
%------------------------------------------------------------------------------