TSTP Solution File: SEU132+2 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU132+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 : Tue Apr 30 20:41:07 EDT 2024
% Result : Theorem 79.81s 10.46s
% Output : CNFRefutation 80.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 7 unt; 0 def)
% Number of atoms : 138 ( 10 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 157 ( 62 ~; 61 |; 25 &)
% ( 6 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 97 ( 87 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,conjecture,
! [A,B,C] :
( subset(A,B)
=> subset(set_difference(A,C),set_difference(B,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
~ ! [A,B,C] :
( subset(A,B)
=> subset(set_difference(A,C),set_difference(B,C)) ),
inference(negated_conjecture,[status(cth)],[f35]) ).
fof(f70,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( ~ in(C,A)
| in(C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f71,plain,
! [A,B] :
( ( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ( subset(A,B)
| ? [C] :
( in(C,A)
& ~ in(C,B) ) ) ),
inference(NNF_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
( ! [A,B] :
( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ! [A,B] :
( subset(A,B)
| ? [C] :
( in(C,A)
& ~ in(C,B) ) ) ),
inference(miniscoping,[status(esa)],[f71]) ).
fof(f73,plain,
( ! [A,B] :
( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ! [A,B] :
( subset(A,B)
| ( in(sk0_2(B,A),A)
& ~ in(sk0_2(B,A),B) ) ) ),
inference(skolemization,[status(esa)],[f72]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ subset(X0,X1)
| ~ in(X2,X0)
| in(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sk0_2(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f76,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sk0_2(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f86,plain,
! [A,B,C] :
( ( C != set_difference(A,B)
| ! [D] :
( ( ~ in(D,C)
| ( in(D,A)
& ~ in(D,B) ) )
& ( in(D,C)
| ~ in(D,A)
| in(D,B) ) ) )
& ( C = set_difference(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)],[f9]) ).
fof(f87,plain,
( ! [A,B,C] :
( C != set_difference(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_difference(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)],[f86]) ).
fof(f88,plain,
( ! [A,B,C] :
( C != set_difference(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_difference(A,B)
| ( ( ~ in(sk0_4(C,B,A),C)
| ~ in(sk0_4(C,B,A),A)
| in(sk0_4(C,B,A),B) )
& ( in(sk0_4(C,B,A),C)
| ( in(sk0_4(C,B,A),A)
& ~ in(sk0_4(C,B,A),B) ) ) ) ) ),
inference(skolemization,[status(esa)],[f87]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( X0 != set_difference(X1,X2)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( X0 != set_difference(X1,X2)
| ~ in(X3,X0)
| ~ in(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f91,plain,
! [X0,X1,X2,X3] :
( X0 != set_difference(X1,X2)
| in(X3,X0)
| ~ in(X3,X1)
| in(X3,X2) ),
inference(cnf_transformation,[status(esa)],[f88]) ).
fof(f143,plain,
? [A,B,C] :
( subset(A,B)
& ~ subset(set_difference(A,C),set_difference(B,C)) ),
inference(pre_NNF_transformation,[status(esa)],[f36]) ).
fof(f144,plain,
? [A,B] :
( subset(A,B)
& ? [C] : ~ subset(set_difference(A,C),set_difference(B,C)) ),
inference(miniscoping,[status(esa)],[f143]) ).
fof(f145,plain,
( subset(sk0_8,sk0_9)
& ~ subset(set_difference(sk0_8,sk0_10),set_difference(sk0_9,sk0_10)) ),
inference(skolemization,[status(esa)],[f144]) ).
fof(f146,plain,
subset(sk0_8,sk0_9),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f147,plain,
~ subset(set_difference(sk0_8,sk0_10),set_difference(sk0_9,sk0_10)),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f183,plain,
! [X0,X1,X2] :
( ~ in(X0,set_difference(X1,X2))
| in(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f89]) ).
fof(f184,plain,
! [X0,X1,X2] :
( ~ in(X0,set_difference(X1,X2))
| ~ in(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f90]) ).
fof(f185,plain,
! [X0,X1,X2] :
( in(X0,set_difference(X1,X2))
| ~ in(X0,X1)
| in(X0,X2) ),
inference(destructive_equality_resolution,[status(esa)],[f91]) ).
fof(f228,plain,
! [X0] :
( ~ in(X0,sk0_8)
| in(X0,sk0_9) ),
inference(resolution,[status(thm)],[f74,f146]) ).
fof(f3048,plain,
! [X0,X1,X2] :
( subset(set_difference(X0,X1),X2)
| ~ in(sk0_2(X2,set_difference(X0,X1)),X1) ),
inference(resolution,[status(thm)],[f75,f184]) ).
fof(f3049,plain,
! [X0,X1,X2] :
( subset(set_difference(X0,X1),X2)
| in(sk0_2(X2,set_difference(X0,X1)),X0) ),
inference(resolution,[status(thm)],[f75,f183]) ).
fof(f3056,plain,
! [X0,X1,X2] :
( subset(X0,set_difference(X1,X2))
| ~ in(sk0_2(set_difference(X1,X2),X0),X1)
| in(sk0_2(set_difference(X1,X2),X0),X2) ),
inference(resolution,[status(thm)],[f76,f185]) ).
fof(f15736,plain,
~ in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_10),
inference(resolution,[status(thm)],[f3048,f147]) ).
fof(f17985,plain,
in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_8),
inference(resolution,[status(thm)],[f3049,f147]) ).
fof(f18068,plain,
( spl0_158
<=> in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_9) ),
introduced(split_symbol_definition) ).
fof(f18070,plain,
( ~ in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_9)
| spl0_158 ),
inference(component_clause,[status(thm)],[f18068]) ).
fof(f18071,plain,
( spl0_159
<=> in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_10) ),
introduced(split_symbol_definition) ).
fof(f18072,plain,
( in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_10)
| ~ spl0_159 ),
inference(component_clause,[status(thm)],[f18071]) ).
fof(f18074,plain,
( ~ in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_9)
| in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_10) ),
inference(resolution,[status(thm)],[f3056,f147]) ).
fof(f18075,plain,
( ~ spl0_158
| spl0_159 ),
inference(split_clause,[status(thm)],[f18074,f18068,f18071]) ).
fof(f18187,plain,
( $false
| ~ spl0_159 ),
inference(forward_subsumption_resolution,[status(thm)],[f18072,f15736]) ).
fof(f18188,plain,
~ spl0_159,
inference(contradiction_clause,[status(thm)],[f18187]) ).
fof(f19775,plain,
( ~ in(sk0_2(set_difference(sk0_9,sk0_10),set_difference(sk0_8,sk0_10)),sk0_8)
| spl0_158 ),
inference(resolution,[status(thm)],[f18070,f228]) ).
fof(f19776,plain,
( $false
| spl0_158 ),
inference(forward_subsumption_resolution,[status(thm)],[f19775,f17985]) ).
fof(f19777,plain,
spl0_158,
inference(contradiction_clause,[status(thm)],[f19776]) ).
fof(f19778,plain,
$false,
inference(sat_refutation,[status(thm)],[f18075,f18188,f19777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU132+2 : TPTP v8.1.2. Released v3.3.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n025.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 19:56:55 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 79.81/10.46 % Refutation found
% 79.81/10.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 79.81/10.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 81.06/10.60 % Elapsed time: 10.272895 seconds
% 81.06/10.60 % CPU time: 81.008204 seconds
% 81.06/10.60 % Total memory used: 443.457 MB
% 81.06/10.60 % Net memory used: 425.428 MB
%------------------------------------------------------------------------------