TSTP Solution File: SET904+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 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 20:40:40 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 22 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 2 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 14 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : set_union2(A,B) = set_union2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,conjecture,
! [A,B] :
( subset(set_union2(singleton(A),B),B)
=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ ! [A,B] :
( subset(set_union2(singleton(A),B),B)
=> in(A,B) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
! [A,B] :
( subset(set_union2(singleton(A),B),B)
=> in(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0,X1] : set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f29,plain,
? [A,B] :
( subset(set_union2(singleton(A),B),B)
& ~ in(A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f30,plain,
( subset(set_union2(singleton(sk0_2),sk0_3),sk0_3)
& ~ in(sk0_2,sk0_3) ),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
subset(set_union2(singleton(sk0_2),sk0_3),sk0_3),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
~ in(sk0_2,sk0_3),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
! [A,B] :
( ~ subset(set_union2(singleton(A),B),B)
| in(A,B) ),
inference(pre_NNF_transformation,[status(esa)],[f11]) ).
fof(f34,plain,
! [X0,X1] :
( ~ subset(set_union2(singleton(X0),X1),X1)
| in(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f35,plain,
subset(set_union2(sk0_3,singleton(sk0_2)),sk0_3),
inference(paramodulation,[status(thm)],[f18,f31]) ).
fof(f37,plain,
~ subset(set_union2(singleton(sk0_2),sk0_3),sk0_3),
inference(resolution,[status(thm)],[f34,f32]) ).
fof(f38,plain,
~ subset(set_union2(sk0_3,singleton(sk0_2)),sk0_3),
inference(forward_demodulation,[status(thm)],[f18,f37]) ).
fof(f39,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f38,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET904+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 21:35:44 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.37 % Elapsed time: 0.017448 seconds
% 0.21/0.37 % CPU time: 0.021513 seconds
% 0.21/0.37 % Total memory used: 5.818 MB
% 0.21/0.37 % Net memory used: 5.715 MB
%------------------------------------------------------------------------------