TSTP Solution File: SEU133+2 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU133+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 1.77s 0.61s
% Output : CNFRefutation 1.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 90 ( 8 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 108 ( 40 ~; 41 |; 22 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 71 ( 65 !; 6 ?)
% 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(f36,conjecture,
! [A,B] : subset(set_difference(A,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
~ ! [A,B] : subset(set_difference(A,B),A),
inference(negated_conjecture,[status(cth)],[f36]) ).
fof(f71,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( ~ in(C,A)
| in(C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f72,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)],[f71]) ).
fof(f73,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)],[f72]) ).
fof(f74,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)],[f73]) ).
fof(f76,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sk0_2(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f77,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sk0_2(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f87,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(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)
| ? [D] :
( ( ~ in(D,C)
| ~ in(D,A)
| in(D,B) )
& ( in(D,C)
| ( in(D,A)
& ~ in(D,B) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f87]) ).
fof(f89,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)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2,X3] :
( X0 != set_difference(X1,X2)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f147,plain,
? [A,B] : ~ subset(set_difference(A,B),A),
inference(pre_NNF_transformation,[status(esa)],[f37]) ).
fof(f148,plain,
~ subset(set_difference(sk0_8,sk0_9),sk0_8),
inference(skolemization,[status(esa)],[f147]) ).
fof(f149,plain,
~ subset(set_difference(sk0_8,sk0_9),sk0_8),
inference(cnf_transformation,[status(esa)],[f148]) ).
fof(f185,plain,
! [X0,X1,X2] :
( ~ in(X0,set_difference(X1,X2))
| in(X0,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f90]) ).
fof(f1652,plain,
! [X0,X1,X2] :
( subset(set_difference(X0,X1),X2)
| in(sk0_2(X2,set_difference(X0,X1)),X0) ),
inference(resolution,[status(thm)],[f76,f185]) ).
fof(f3614,plain,
! [X0,X1] :
( subset(set_difference(X0,X1),X0)
| subset(set_difference(X0,X1),X0) ),
inference(resolution,[status(thm)],[f1652,f77]) ).
fof(f3615,plain,
! [X0,X1] : subset(set_difference(X0,X1),X0),
inference(duplicate_literals_removal,[status(esa)],[f3614]) ).
fof(f3657,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f149,f3615]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU133+2 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 20:08:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.77/0.61 % Refutation found
% 1.77/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.77/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.92/0.61 % Elapsed time: 0.255685 seconds
% 1.92/0.61 % CPU time: 1.902872 seconds
% 1.92/0.61 % Total memory used: 81.246 MB
% 1.92/0.61 % Net memory used: 79.988 MB
%------------------------------------------------------------------------------