TSTP Solution File: SEU107+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 : Tue Jul 19 12:38:26 EDT 2022
% Result : Theorem 1.39s 1.59s
% Output : CNFRefutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 25 unt; 0 def)
% Number of atoms : 161 ( 26 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 159 ( 65 ~; 71 |; 14 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 76 ( 1 sgn 45 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_k2_finsub_1,axiom,
! [A,B,C] :
( ( ~ empty(A)
& preboolean(A)
& element(B,A)
& element(C,A) )
=> element(prebool_difference(A,B,C),A) ) ).
fof(existence_m1_subset_1,axiom,
! [A] :
? [B] : element(B,A) ).
fof(redefinition_k2_finsub_1,axiom,
! [A,B,C] :
( ( ~ empty(A)
& preboolean(A)
& element(B,A)
& element(C,A) )
=> prebool_difference(A,B,C) = set_difference(B,C) ) ).
fof(reflexivity_r1_tarski,axiom,
! [A,B] : subset(A,A) ).
fof(t18_finsub_1,conjecture,
! [A] :
( ( ~ empty(A)
& preboolean(A) )
=> in(empty_set,A) ) ).
fof(t2_subset,axiom,
! [A,B] :
( element(A,B)
=> ( empty(B)
| in(A,B) ) ) ).
fof(t37_xboole_1,axiom,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ) ).
fof(subgoal_0,plain,
! [A] :
( ( ~ empty(A)
& preboolean(A) )
=> in(empty_set,A) ),
inference(strip,[],[t18_finsub_1]) ).
fof(negate_0_0,plain,
~ ! [A] :
( ( ~ empty(A)
& preboolean(A) )
=> in(empty_set,A) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[t2_subset]) ).
fof(normalize_0_1,plain,
! [A,B] :
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [A,B,C] :
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| element(prebool_difference(A,B,C),A)
| empty(A) ),
inference(canonicalize,[],[dt_k2_finsub_1]) ).
fof(normalize_0_3,plain,
! [A,B,C] :
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| element(prebool_difference(A,B,C),A)
| empty(A) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [A] :
( ~ empty(A)
& ~ in(empty_set,A)
& preboolean(A) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ empty(skolemFOFtoCNF_A_4)
& ~ in(empty_set,skolemFOFtoCNF_A_4)
& preboolean(skolemFOFtoCNF_A_4) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
preboolean(skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [A] :
? [B] : element(B,A),
inference(canonicalize,[],[existence_m1_subset_1]) ).
fof(normalize_0_8,plain,
! [A] :
? [B] : element(B,A),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [A] : element(skolemFOFtoCNF_B(A),A),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
~ empty(skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
! [A,B,C] :
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| prebool_difference(A,B,C) = set_difference(B,C)
| empty(A) ),
inference(canonicalize,[],[redefinition_k2_finsub_1]) ).
fof(normalize_0_12,plain,
! [A,B,C] :
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| prebool_difference(A,B,C) = set_difference(B,C)
| empty(A) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [A] : subset(A,A),
inference(canonicalize,[],[reflexivity_r1_tarski]) ).
fof(normalize_0_14,plain,
! [A] : subset(A,A),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [A,B] :
( set_difference(A,B) != empty_set
<=> ~ subset(A,B) ),
inference(canonicalize,[],[t37_xboole_1]) ).
fof(normalize_0_16,plain,
! [A,B] :
( set_difference(A,B) != empty_set
<=> ~ subset(A,B) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [A,B] :
( ( set_difference(A,B) != empty_set
| subset(A,B) )
& ( ~ subset(A,B)
| set_difference(A,B) = empty_set ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [A,B] :
( ~ subset(A,B)
| set_difference(A,B) = empty_set ),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
~ in(empty_set,skolemFOFtoCNF_A_4),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ element(A,B)
| empty(B)
| in(A,B) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4)
| in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_0:[bind(A,$fot(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))))),bind(B,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_2,plain,
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| element(prebool_difference(A,B,C),A)
| empty(A) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4)
| ~ preboolean(skolemFOFtoCNF_A_4)
| element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(B,$fot(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)))),bind(C,$fot(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))))]]) ).
cnf(refute_0_4,plain,
preboolean(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
element(skolemFOFtoCNF_B(A),A),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
element(skolemFOFtoCNF_B(X_584),X_584),
inference(subst,[],[refute_0_5:[bind(A,$fot(X_584))]]) ).
cnf(refute_0_7,plain,
( ~ element(skolemFOFtoCNF_B(X_584),X_584)
| ~ preboolean(X_584)
| element(prebool_difference(X_584,skolemFOFtoCNF_B(X_584),skolemFOFtoCNF_B(X_584)),X_584)
| empty(X_584) ),
inference(subst,[],[refute_0_2:[bind(A,$fot(X_584)),bind(B,$fot(skolemFOFtoCNF_B(X_584))),bind(C,$fot(skolemFOFtoCNF_B(X_584)))]]) ).
cnf(refute_0_8,plain,
( ~ preboolean(X_584)
| element(prebool_difference(X_584,skolemFOFtoCNF_B(X_584),skolemFOFtoCNF_B(X_584)),X_584)
| empty(X_584) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_B(X_584),X_584) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ preboolean(skolemFOFtoCNF_A_4)
| element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_8:[bind(X_584,$fot(skolemFOFtoCNF_A_4))]]) ).
cnf(refute_0_10,plain,
( element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( preboolean(skolemFOFtoCNF_A_4) )],[refute_0_4,refute_0_9]) ).
cnf(refute_0_11,plain,
~ empty(skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_12,plain,
element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( empty(skolemFOFtoCNF_A_4) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ preboolean(skolemFOFtoCNF_A_4)
| element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4) )],[refute_0_12,refute_0_3]) ).
cnf(refute_0_14,plain,
( element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| empty(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( preboolean(skolemFOFtoCNF_A_4) )],[refute_0_4,refute_0_13]) ).
cnf(refute_0_15,plain,
element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( empty(skolemFOFtoCNF_A_4) )],[refute_0_14,refute_0_11]) ).
cnf(refute_0_16,plain,
( empty(skolemFOFtoCNF_A_4)
| in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4) )],[refute_0_15,refute_0_1]) ).
cnf(refute_0_17,plain,
in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( empty(skolemFOFtoCNF_A_4) )],[refute_0_16,refute_0_11]) ).
cnf(refute_0_18,plain,
( ~ element(B,A)
| ~ element(C,A)
| ~ preboolean(A)
| prebool_difference(A,B,C) = set_difference(B,C)
| empty(A) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_19,plain,
( ~ element(C,A)
| ~ preboolean(A)
| prebool_difference(A,C,C) = set_difference(C,C)
| empty(A) ),
inference(subst,[],[refute_0_18:[bind(B,$fot(C))]]) ).
cnf(refute_0_20,plain,
subset(A,A),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_21,plain,
subset(X_58,X_58),
inference(subst,[],[refute_0_20:[bind(A,$fot(X_58))]]) ).
cnf(refute_0_22,plain,
( ~ subset(A,B)
| set_difference(A,B) = empty_set ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_23,plain,
( ~ subset(X_58,X_58)
| set_difference(X_58,X_58) = empty_set ),
inference(subst,[],[refute_0_22:[bind(A,$fot(X_58)),bind(B,$fot(X_58))]]) ).
cnf(refute_0_24,plain,
set_difference(X_58,X_58) = empty_set,
inference(resolve,[$cnf( subset(X_58,X_58) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
set_difference(C,C) = empty_set,
inference(subst,[],[refute_0_24:[bind(X_58,$fot(C))]]) ).
cnf(refute_0_26,plain,
( prebool_difference(A,C,C) != set_difference(C,C)
| set_difference(C,C) != empty_set
| prebool_difference(A,C,C) = empty_set ),
introduced(tautology,[equality,[$cnf( ~ $equal(prebool_difference(A,C,C),empty_set) ),[0],$fot(set_difference(C,C))]]) ).
cnf(refute_0_27,plain,
( prebool_difference(A,C,C) != set_difference(C,C)
| prebool_difference(A,C,C) = empty_set ),
inference(resolve,[$cnf( $equal(set_difference(C,C),empty_set) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ element(C,A)
| ~ preboolean(A)
| prebool_difference(A,C,C) = empty_set
| empty(A) ),
inference(resolve,[$cnf( $equal(prebool_difference(A,C,C),set_difference(C,C)) )],[refute_0_19,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4)
| ~ preboolean(skolemFOFtoCNF_A_4)
| prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))) = empty_set
| empty(skolemFOFtoCNF_A_4) ),
inference(subst,[],[refute_0_28:[bind(A,$fot(skolemFOFtoCNF_A_4)),bind(C,$fot(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))))]]) ).
cnf(refute_0_30,plain,
( ~ preboolean(skolemFOFtoCNF_A_4)
| prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))) = empty_set
| empty(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( element(prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),skolemFOFtoCNF_A_4) )],[refute_0_12,refute_0_29]) ).
cnf(refute_0_31,plain,
( prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))) = empty_set
| empty(skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( preboolean(skolemFOFtoCNF_A_4) )],[refute_0_4,refute_0_30]) ).
cnf(refute_0_32,plain,
prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))) = empty_set,
inference(resolve,[$cnf( empty(skolemFOFtoCNF_A_4) )],[refute_0_31,refute_0_11]) ).
cnf(refute_0_33,plain,
( prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))) != empty_set
| ~ in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| in(empty_set,skolemFOFtoCNF_A_4) ),
introduced(tautology,[equality,[$cnf( in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4) ),[0],$fot(empty_set)]]) ).
cnf(refute_0_34,plain,
( ~ in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4)
| in(empty_set,skolemFOFtoCNF_A_4) ),
inference(resolve,[$cnf( $equal(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),empty_set) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
in(empty_set,skolemFOFtoCNF_A_4),
inference(resolve,[$cnf( in(prebool_difference(skolemFOFtoCNF_A_4,prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4)),prebool_difference(skolemFOFtoCNF_A_4,skolemFOFtoCNF_B(skolemFOFtoCNF_A_4),skolemFOFtoCNF_B(skolemFOFtoCNF_A_4))),skolemFOFtoCNF_A_4) )],[refute_0_17,refute_0_34]) ).
cnf(refute_0_36,plain,
~ in(empty_set,skolemFOFtoCNF_A_4),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_37,plain,
$false,
inference(resolve,[$cnf( in(empty_set,skolemFOFtoCNF_A_4) )],[refute_0_35,refute_0_36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU107+1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : metis --show proof --show saturation %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 19:47:48 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.39/1.59 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.39/1.59
% 1.39/1.59 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.39/1.59
%------------------------------------------------------------------------------