TSTP Solution File: SET642+3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:40:04 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 25 ( 7 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 111 ( 44 ~; 38 |; 10 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 57 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> subset(B,cross_product(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ( subset(B,cross_product(C,D))
=> ilf_type(B,relation_type(C,D)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [B] : ilf_type(B,set_type),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,conjecture,
! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> ilf_type(B,relation_type(C,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
~ ! [B] :
( ilf_type(B,set_type)
=> ! [C] :
( ilf_type(C,set_type)
=> ! [D] :
( ilf_type(D,set_type)
=> ! [E] :
( ilf_type(E,relation_type(C,D))
=> ( subset(B,E)
=> ilf_type(B,relation_type(C,D)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ! [E] :
( ~ ilf_type(E,relation_type(C,D))
| ~ subset(B,E)
| subset(B,cross_product(C,D)) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(X0,X3)
| subset(X0,cross_product(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [B] :
( ~ ilf_type(B,set_type)
| ! [C] :
( ~ ilf_type(C,set_type)
| ! [D] :
( ~ ilf_type(D,set_type)
| ~ subset(B,cross_product(C,D))
| ilf_type(B,relation_type(C,D)) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ subset(X0,cross_product(X1,X2))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f88,plain,
! [X0] : ilf_type(X0,set_type),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f89,plain,
? [B] :
( ilf_type(B,set_type)
& ? [C] :
( ilf_type(C,set_type)
& ? [D] :
( ilf_type(D,set_type)
& ? [E] :
( ilf_type(E,relation_type(C,D))
& subset(B,E)
& ~ ilf_type(B,relation_type(C,D)) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f21]) ).
fof(f90,plain,
( ilf_type(sk0_9,set_type)
& ilf_type(sk0_10,set_type)
& ilf_type(sk0_11,set_type)
& ilf_type(sk0_12,relation_type(sk0_10,sk0_11))
& subset(sk0_9,sk0_12)
& ~ ilf_type(sk0_9,relation_type(sk0_10,sk0_11)) ),
inference(skolemization,[status(esa)],[f89]) ).
fof(f94,plain,
ilf_type(sk0_12,relation_type(sk0_10,sk0_11)),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f95,plain,
subset(sk0_9,sk0_12),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f96,plain,
~ ilf_type(sk0_9,relation_type(sk0_10,sk0_11)),
inference(cnf_transformation,[status(esa)],[f90]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,relation_type(X0,X1))
| ~ subset(X3,X2)
| subset(X3,cross_product(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f88]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ ilf_type(X1,set_type)
| ~ subset(X2,cross_product(X0,X1))
| ilf_type(X2,relation_type(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f88]) ).
fof(f138,plain,
! [X0,X1,X2] :
( ~ ilf_type(X0,set_type)
| ~ subset(X1,cross_product(X0,X2))
| ilf_type(X1,relation_type(X0,X2)) ),
inference(resolution,[status(thm)],[f137,f88]) ).
fof(f139,plain,
! [X0,X1,X2] :
( ~ subset(X0,cross_product(X1,X2))
| ilf_type(X0,relation_type(X1,X2)) ),
inference(forward_subsumption_resolution,[status(thm)],[f138,f88]) ).
fof(f143,plain,
! [X0,X1,X2,X3] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X1,set_type)
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(X0,X3) ),
inference(resolution,[status(thm)],[f139,f136]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X2,set_type)
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f143,f88]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ilf_type(X0,relation_type(X1,X2))
| ~ ilf_type(X3,relation_type(X1,X2))
| ~ subset(X0,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f88]) ).
fof(f154,plain,
! [X0] :
( ~ ilf_type(X0,relation_type(sk0_10,sk0_11))
| ~ subset(sk0_9,X0) ),
inference(resolution,[status(thm)],[f153,f96]) ).
fof(f155,plain,
~ ilf_type(sk0_12,relation_type(sk0_10,sk0_11)),
inference(resolution,[status(thm)],[f154,f95]) ).
fof(f156,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f155,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET642+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.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 21:35:59 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.021195 seconds
% 0.13/0.37 % CPU time: 0.035525 seconds
% 0.13/0.37 % Total memory used: 11.328 MB
% 0.13/0.37 % Net memory used: 11.239 MB
%------------------------------------------------------------------------------