TSTP Solution File: SET951+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 : 300s
% DateTime : Wed May 31 12:35:36 EDT 2023
% Result : Theorem 0.16s 0.44s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 75 ( 16 unt; 0 def)
% Number of atoms : 245 ( 65 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 288 ( 118 ~; 113 |; 46 &)
% ( 10 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-4 aty)
% Number of variables : 206 (; 180 !; 26 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] :
( C = cartesian_product2(A,B)
<=> ! [D] :
( in(D,C)
<=> ? [E,F] :
( in(E,A)
& in(F,B)
& D = ordered_pair(E,F) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] :
( C = set_intersection2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] : set_intersection2(A,A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,conjecture,
! [A,B,C,D,E] :
~ ( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))
& ! [F,G] :
~ ( A = ordered_pair(F,G)
& in(F,set_intersection2(B,D))
& in(G,set_intersection2(C,E)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ ! [A,B,C,D,E] :
~ ( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))
& ! [F,G] :
~ ( A = ordered_pair(F,G)
& in(F,set_intersection2(B,D))
& in(G,set_intersection2(C,E)) ) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,axiom,
! [A,B,C,D] :
( ordered_pair(A,B) = ordered_pair(C,D)
=> ( A = C
& B = D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [A,B,D,E,F] :
( pd0_0(F,E,D,B,A)
<=> ( in(E,A)
& in(F,B)
& D = ordered_pair(E,F) ) ),
introduced(predicate_definition,[f4]) ).
fof(f19,plain,
! [A,B,C] :
( C = cartesian_product2(A,B)
<=> ! [D] :
( in(D,C)
<=> ? [E,F] : pd0_0(F,E,D,B,A) ) ),
inference(formula_renaming,[status(thm)],[f4,f18]) ).
fof(f20,plain,
! [A,B,C] :
( ( C != cartesian_product2(A,B)
| ! [D] :
( ( ~ in(D,C)
| ? [E,F] : pd0_0(F,E,D,B,A) )
& ( in(D,C)
| ! [E,F] : ~ pd0_0(F,E,D,B,A) ) ) )
& ( C = cartesian_product2(A,B)
| ? [D] :
( ( ~ in(D,C)
| ! [E,F] : ~ pd0_0(F,E,D,B,A) )
& ( in(D,C)
| ? [E,F] : pd0_0(F,E,D,B,A) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
( ! [A,B,C] :
( C != cartesian_product2(A,B)
| ( ! [D] :
( ~ in(D,C)
| ? [E,F] : pd0_0(F,E,D,B,A) )
& ! [D] :
( in(D,C)
| ! [E,F] : ~ pd0_0(F,E,D,B,A) ) ) )
& ! [A,B,C] :
( C = cartesian_product2(A,B)
| ? [D] :
( ( ~ in(D,C)
| ! [E,F] : ~ pd0_0(F,E,D,B,A) )
& ( in(D,C)
| ? [E,F] : pd0_0(F,E,D,B,A) ) ) ) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [A,B,C] :
( C != cartesian_product2(A,B)
| ( ! [D] :
( ~ in(D,C)
| pd0_0(sk0_1(D,C,B,A),sk0_0(D,C,B,A),D,B,A) )
& ! [D] :
( in(D,C)
| ! [E,F] : ~ pd0_0(F,E,D,B,A) ) ) )
& ! [A,B,C] :
( C = cartesian_product2(A,B)
| ( ( ~ in(sk0_2(C,B,A),C)
| ! [E,F] : ~ pd0_0(F,E,sk0_2(C,B,A),B,A) )
& ( in(sk0_2(C,B,A),C)
| pd0_0(sk0_4(C,B,A),sk0_3(C,B,A),sk0_2(C,B,A),B,A) ) ) ) ),
inference(skolemization,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( X0 != cartesian_product2(X1,X2)
| ~ in(X3,X0)
| pd0_0(sk0_1(X3,X0,X2,X1),sk0_0(X3,X0,X2,X1),X3,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f27,plain,
! [A,B,C] :
( ( C != set_intersection2(A,B)
| ! [D] :
( ( ~ in(D,C)
| ( in(D,A)
& in(D,B) ) )
& ( in(D,C)
| ~ in(D,A)
| ~ in(D,B) ) ) )
& ( C = set_intersection2(A,B)
| ? [D] :
( ( ~ in(D,C)
| ~ in(D,A)
| ~ in(D,B) )
& ( in(D,C)
| ( in(D,A)
& in(D,B) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f5]) ).
fof(f28,plain,
( ! [A,B,C] :
( C != set_intersection2(A,B)
| ( ! [D] :
( ~ in(D,C)
| ( in(D,A)
& in(D,B) ) )
& ! [D] :
( in(D,C)
| ~ in(D,A)
| ~ in(D,B) ) ) )
& ! [A,B,C] :
( C = set_intersection2(A,B)
| ? [D] :
( ( ~ in(D,C)
| ~ in(D,A)
| ~ in(D,B) )
& ( in(D,C)
| ( in(D,A)
& in(D,B) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f27]) ).
fof(f29,plain,
( ! [A,B,C] :
( C != set_intersection2(A,B)
| ( ! [D] :
( ~ in(D,C)
| ( in(D,A)
& in(D,B) ) )
& ! [D] :
( in(D,C)
| ~ in(D,A)
| ~ in(D,B) ) ) )
& ! [A,B,C] :
( C = set_intersection2(A,B)
| ( ( ~ in(sk0_5(C,B,A),C)
| ~ in(sk0_5(C,B,A),A)
| ~ in(sk0_5(C,B,A),B) )
& ( in(sk0_5(C,B,A),C)
| ( in(sk0_5(C,B,A),A)
& in(sk0_5(C,B,A),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( X0 != set_intersection2(X1,X2)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( X0 != set_intersection2(X1,X2)
| in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f38,plain,
! [A] : set_intersection2(A,A) = A,
inference(miniscoping,[status(esa)],[f8]) ).
fof(f39,plain,
! [X0] : set_intersection2(X0,X0) = X0,
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f44,plain,
? [A,B,C,D,E] :
( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))
& ! [F,G] :
( A != ordered_pair(F,G)
| ~ in(F,set_intersection2(B,D))
| ~ in(G,set_intersection2(C,E)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f12]) ).
fof(f45,plain,
? [A,B,C,D,E] :
( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))
& ! [G] :
( ! [F] :
( A != ordered_pair(F,G)
| ~ in(F,set_intersection2(B,D)) )
| ~ in(G,set_intersection2(C,E)) ) ),
inference(miniscoping,[status(esa)],[f44]) ).
fof(f46,plain,
( in(sk0_8,set_intersection2(cartesian_product2(sk0_9,sk0_10),cartesian_product2(sk0_11,sk0_12)))
& ! [G] :
( ! [F] :
( sk0_8 != ordered_pair(F,G)
| ~ in(F,set_intersection2(sk0_9,sk0_11)) )
| ~ in(G,set_intersection2(sk0_10,sk0_12)) ) ),
inference(skolemization,[status(esa)],[f45]) ).
fof(f47,plain,
in(sk0_8,set_intersection2(cartesian_product2(sk0_9,sk0_10),cartesian_product2(sk0_11,sk0_12))),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [X0,X1] :
( sk0_8 != ordered_pair(X0,X1)
| ~ in(X0,set_intersection2(sk0_9,sk0_11))
| ~ in(X1,set_intersection2(sk0_10,sk0_12)) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f49,plain,
! [A,B,C,D] :
( ordered_pair(A,B) != ordered_pair(C,D)
| ( A = C
& B = D ) ),
inference(pre_NNF_transformation,[status(esa)],[f13]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [X0,X1,X2,X3] :
( ordered_pair(X0,X1) != ordered_pair(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f52,plain,
! [A,B,D,E,F] :
( ( ~ pd0_0(F,E,D,B,A)
| ( in(E,A)
& in(F,B)
& D = ordered_pair(E,F) ) )
& ( pd0_0(F,E,D,B,A)
| ~ in(E,A)
| ~ in(F,B)
| D != ordered_pair(E,F) ) ),
inference(NNF_transformation,[status(esa)],[f18]) ).
fof(f53,plain,
( ! [A,B,D,E,F] :
( ~ pd0_0(F,E,D,B,A)
| ( in(E,A)
& in(F,B)
& D = ordered_pair(E,F) ) )
& ! [A,B,D,E,F] :
( pd0_0(F,E,D,B,A)
| ~ in(E,A)
| ~ in(F,B)
| D != ordered_pair(E,F) ) ),
inference(miniscoping,[status(esa)],[f52]) ).
fof(f54,plain,
! [X0,X1,X2,X3,X4] :
( ~ pd0_0(X0,X1,X2,X3,X4)
| in(X1,X4) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f55,plain,
! [X0,X1,X2,X3,X4] :
( ~ pd0_0(X0,X1,X2,X3,X4)
| in(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4] :
( ~ pd0_0(X0,X1,X2,X3,X4)
| X2 = ordered_pair(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f59,plain,
! [X0,X1,X2] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X2) ),
inference(resolution,[status(thm)],[f30,f17]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ in(X0,set_intersection2(set_intersection2(X1,X2),set_intersection2(X1,X2)))
| in(X0,X1) ),
inference(resolution,[status(thm)],[f30,f39]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ in(X0,set_intersection2(X1,X2))
| in(X0,X1) ),
inference(forward_demodulation,[status(thm)],[f39,f60]) ).
fof(f66,plain,
in(sk0_8,cartesian_product2(sk0_11,sk0_12)),
inference(resolution,[status(thm)],[f59,f47]) ).
fof(f70,plain,
in(sk0_8,cartesian_product2(sk0_9,sk0_10)),
inference(resolution,[status(thm)],[f61,f47]) ).
fof(f93,plain,
! [X0,X1] :
( cartesian_product2(sk0_9,sk0_10) != cartesian_product2(X0,X1)
| pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),X1,X0),sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),X1,X0),sk0_8,X1,X0) ),
inference(resolution,[status(thm)],[f23,f70]) ).
fof(f94,plain,
! [X0,X1] :
( cartesian_product2(sk0_11,sk0_12) != cartesian_product2(X0,X1)
| pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),X1,X0),sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),X1,X0),sk0_8,X1,X0) ),
inference(resolution,[status(thm)],[f23,f66]) ).
fof(f100,plain,
pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_8,sk0_10,sk0_9),
inference(equality_resolution,[status(esa)],[f93]) ).
fof(f101,plain,
sk0_8 = ordered_pair(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9)),
inference(resolution,[status(thm)],[f100,f56]) ).
fof(f102,plain,
in(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_10),
inference(resolution,[status(thm)],[f100,f55]) ).
fof(f103,plain,
in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_9),
inference(resolution,[status(thm)],[f100,f54]) ).
fof(f113,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != sk0_8
| X1 = sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
inference(paramodulation,[status(thm)],[f101,f51]) ).
fof(f115,plain,
! [X0,X1] :
( ordered_pair(X0,X1) != sk0_8
| X0 = sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
inference(paramodulation,[status(thm)],[f101,f50]) ).
fof(f117,plain,
( spl0_0
<=> sk0_8 = sk0_8 ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( sk0_8 != sk0_8
| spl0_0 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f125,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f119]) ).
fof(f126,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f125]) ).
fof(f132,plain,
pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11),sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11),sk0_8,sk0_12,sk0_11),
inference(equality_resolution,[status(esa)],[f94]) ).
fof(f133,plain,
sk0_8 = ordered_pair(sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11),sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11)),
inference(resolution,[status(thm)],[f132,f56]) ).
fof(f139,plain,
( spl0_3
<=> sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
introduced(split_symbol_definition) ).
fof(f140,plain,
( sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f139]) ).
fof(f142,plain,
( sk0_8 != sk0_8
| sk0_0(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
inference(paramodulation,[status(thm)],[f133,f115]) ).
fof(f143,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f142,f117,f139]) ).
fof(f144,plain,
( spl0_4
<=> sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
introduced(split_symbol_definition) ).
fof(f145,plain,
( sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( sk0_8 != sk0_8
| sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11) = sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9) ),
inference(paramodulation,[status(thm)],[f133,f113]) ).
fof(f148,plain,
( ~ spl0_0
| spl0_4 ),
inference(split_clause,[status(thm)],[f147,f117,f144]) ).
fof(f155,plain,
( pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_11,sk0_12),sk0_12,sk0_11),sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_8,sk0_12,sk0_11)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f140,f132]) ).
fof(f157,plain,
( pd0_0(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_8,sk0_12,sk0_11)
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f145,f155]) ).
fof(f159,plain,
( in(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_12)
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f157,f55]) ).
fof(f160,plain,
( in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),sk0_11)
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f157,f54]) ).
fof(f173,plain,
! [X0,X1,X2] :
( in(X0,set_intersection2(X1,X2))
| ~ in(X0,X2)
| ~ in(X0,X1) ),
inference(resolution,[status(thm)],[f32,f17]) ).
fof(f180,plain,
! [X0] :
( in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),set_intersection2(X0,sk0_11))
| ~ in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),X0)
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f173,f160]) ).
fof(f182,plain,
! [X0] :
( in(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),set_intersection2(X0,sk0_12))
| ~ in(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),X0)
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f173,f159]) ).
fof(f397,plain,
( in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),set_intersection2(sk0_9,sk0_11))
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f180,f103]) ).
fof(f422,plain,
( in(sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),set_intersection2(sk0_10,sk0_12))
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f182,f102]) ).
fof(f424,plain,
! [X0] :
( sk0_8 != ordered_pair(X0,sk0_1(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9))
| ~ in(X0,set_intersection2(sk0_9,sk0_11))
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f422,f48]) ).
fof(f446,plain,
( ~ in(sk0_0(sk0_8,cartesian_product2(sk0_9,sk0_10),sk0_10,sk0_9),set_intersection2(sk0_9,sk0_11))
| ~ spl0_4
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f424,f101]) ).
fof(f447,plain,
( $false
| ~ spl0_4
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f397]) ).
fof(f448,plain,
( ~ spl0_4
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f449,plain,
$false,
inference(sat_refutation,[status(thm)],[f126,f143,f148,f448]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13 % Problem : SET951+1 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n011.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Tue May 30 10:13:42 EDT 2023
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.5.1
% 0.16/0.44 % Refutation found
% 0.16/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.46 % Elapsed time: 0.113725 seconds
% 0.16/0.46 % CPU time: 0.312600 seconds
% 0.16/0.46 % Memory used: 32.411 MB
%------------------------------------------------------------------------------