TSTP Solution File: SEU198+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:41:27 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 4 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 82 ( 31 ~; 28 |; 15 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 57 ( 51 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B,C] :
( relation(C)
=> ( in(A,relation_rng(relation_rng_restriction(B,C)))
<=> ( in(A,B)
& in(A,relation_rng(C)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,conjecture,
! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ ! [A,B] :
( relation(B)
=> subset(relation_rng(relation_rng_restriction(A,B)),A) ),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f37,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( ~ in(C,A)
| in(C,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f38,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)],[f37]) ).
fof(f39,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)],[f38]) ).
fof(f40,plain,
( ! [A,B] :
( ~ subset(A,B)
| ! [C] :
( ~ in(C,A)
| in(C,B) ) )
& ! [A,B] :
( subset(A,B)
| ( in(sk0_0(B,A),A)
& ~ in(sk0_0(B,A),B) ) ) ),
inference(skolemization,[status(esa)],[f39]) ).
fof(f42,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sk0_0(X1,X0),X0) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f43,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ in(sk0_0(X1,X0),X1) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f77,plain,
! [A,B,C] :
( ~ relation(C)
| ( in(A,relation_rng(relation_rng_restriction(B,C)))
<=> ( in(A,B)
& in(A,relation_rng(C)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f78,plain,
! [A,B,C] :
( ~ relation(C)
| ( ( ~ in(A,relation_rng(relation_rng_restriction(B,C)))
| ( in(A,B)
& in(A,relation_rng(C)) ) )
& ( in(A,relation_rng(relation_rng_restriction(B,C)))
| ~ in(A,B)
| ~ in(A,relation_rng(C)) ) ) ),
inference(NNF_transformation,[status(esa)],[f77]) ).
fof(f79,plain,
! [C] :
( ~ relation(C)
| ( ! [A,B] :
( ~ in(A,relation_rng(relation_rng_restriction(B,C)))
| ( in(A,B)
& in(A,relation_rng(C)) ) )
& ! [A,B] :
( in(A,relation_rng(relation_rng_restriction(B,C)))
| ~ in(A,B)
| ~ in(A,relation_rng(C)) ) ) ),
inference(miniscoping,[status(esa)],[f78]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ relation(X0)
| ~ in(X1,relation_rng(relation_rng_restriction(X2,X0)))
| in(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f83,plain,
? [A,B] :
( relation(B)
& ~ subset(relation_rng(relation_rng_restriction(A,B)),A) ),
inference(pre_NNF_transformation,[status(esa)],[f24]) ).
fof(f84,plain,
? [B] :
( relation(B)
& ? [A] : ~ subset(relation_rng(relation_rng_restriction(A,B)),A) ),
inference(miniscoping,[status(esa)],[f83]) ).
fof(f85,plain,
( relation(sk0_8)
& ~ subset(relation_rng(relation_rng_restriction(sk0_9,sk0_8)),sk0_9) ),
inference(skolemization,[status(esa)],[f84]) ).
fof(f86,plain,
relation(sk0_8),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f87,plain,
~ subset(relation_rng(relation_rng_restriction(sk0_9,sk0_8)),sk0_9),
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f120,plain,
! [X0,X1,X2] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),X2)
| ~ relation(X1)
| in(sk0_0(X2,relation_rng(relation_rng_restriction(X0,X1))),X0) ),
inference(resolution,[status(thm)],[f42,f80]) ).
fof(f172,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),X0)
| ~ relation(X1)
| subset(relation_rng(relation_rng_restriction(X0,X1)),X0) ),
inference(resolution,[status(thm)],[f120,f43]) ).
fof(f173,plain,
! [X0,X1] :
( subset(relation_rng(relation_rng_restriction(X0,X1)),X0)
| ~ relation(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f172]) ).
fof(f181,plain,
~ relation(sk0_8),
inference(resolution,[status(thm)],[f173,f87]) ).
fof(f182,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f181,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SEU198+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 19:40:26 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.33 % Elapsed time: 0.025233 seconds
% 0.14/0.33 % CPU time: 0.066656 seconds
% 0.14/0.33 % Total memory used: 17.057 MB
% 0.14/0.33 % Net memory used: 16.959 MB
%------------------------------------------------------------------------------