TSTP Solution File: SYN380+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 20:52:04 EDT 2024
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 3 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 26 ( 11 ~; 5 |; 6 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 24 ( 19 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [W] : ~ big_r(W,W)
=> ? [X,Y] :
( ~ big_r(X,Y)
& ( big_q(Y,X)
=> ! [Z] : big_q(Z,Z) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [W] : ~ big_r(W,W)
=> ? [X,Y] :
( ~ big_r(X,Y)
& ( big_q(Y,X)
=> ! [Z] : big_q(Z,Z) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [W] : ~ big_r(W,W)
& ! [X,Y] :
( big_r(X,Y)
| ( big_q(Y,X)
& ? [Z] : ~ big_q(Z,Z) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f4,plain,
( ! [W] : ~ big_r(W,W)
& ! [X,Y] :
( big_r(X,Y)
| ( big_q(Y,X)
& ~ big_q(sk0_0(Y,X),sk0_0(Y,X)) ) ) ),
inference(skolemization,[status(esa)],[f3]) ).
fof(f5,plain,
! [X0] : ~ big_r(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_r(X0,X1)
| big_q(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f7,plain,
! [X0,X1] :
( big_r(X0,X1)
| ~ big_q(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f8,plain,
! [X0,X1] :
( big_r(X0,X1)
| big_r(sk0_0(X1,X0),sk0_0(X1,X0)) ),
inference(resolution,[status(thm)],[f7,f6]) ).
fof(f9,plain,
! [X0,X1] : big_r(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f8,f5]) ).
fof(f10,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f5,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN380+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 22:01:17 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % 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
% 0.14/0.37 % Elapsed time: 0.016074 seconds
% 0.14/0.37 % CPU time: 0.026797 seconds
% 0.14/0.37 % Total memory used: 1.883 MB
% 0.14/0.37 % Net memory used: 1.698 MB
%------------------------------------------------------------------------------