%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV041+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 : Fri Jul 25 04:45:58 PM UTC 2025
% Result : Theorem 25.51s 3.58s
% Output : CNFRefutation 25.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 11 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 31 ( 10 ~; 6 |; 7 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_init_0077,plain,
( ( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) )
=> ! [A] :
( ( leq(n0,A)
& leq(A,n2) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) = init ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_init_0077) ).
fof(gauss_init_0077_negated,plain,
~ ( ( geq(minus(n330,n1),n0)
& geq(minus(n410,n1),n0) )
=> ! [A] :
( ( leq(n0,A)
& leq(A,n2) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,minus(n0,n1)) )
=> a_select3(tptp_const_array2(dim(n0,n3),dim(n0,n2),uninit),B,A) = init ) ) ),
inference(negate_conjecture,[status(cth)],[gauss_init_0077]) ).
cnf(119,plain,
leq(n0,sK29),
inference(cnf,[status(esa)],[gauss_init_0077_negated]) ).
cnf(l0,plain,
leq(n0,sK29),
inference(instantiation,[status(thm)],[119]) ).
fof(transitivity_leq,plain,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('Axioms/SWV003+0.ax',transitivity_leq) ).
cnf(4,plain,
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_leq]) ).
cnf(l1,plain,
( ~ leq(n0,sK29)
| ~ leq(sK29,pred(n0))
| leq(n0,pred(n0)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(leq_gt_pred,plain,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('Axioms/SWV003+0.ax',leq_gt_pred) ).
cnf(11,plain,
( ~ leq(X0,pred(X1))
| gt(X1,X0) ),
inference(cnf,[status(esa)],[leq_gt_pred]) ).
cnf(l45,plain,
( ~ leq(n0,pred(n0))
| gt(n0,n0) ),
inference(instantiation,[status(thm)],[11]) ).
fof(irreflexivity_gt,plain,
! [X] : ~ gt(X,X),
file('Axioms/SWV003+0.ax',irreflexivity_gt) ).
cnf(2,plain,
~ gt(X0,X0),
inference(cnf,[status(esa)],[irreflexivity_gt]) ).
cnf(l46,plain,
~ gt(n0,n0),
inference(instantiation,[status(thm)],[2]) ).
cnf(120,plain,
leq(sK29,minus(n0,n1)),
inference(cnf,[status(esa)],[gauss_init_0077_negated]) ).
cnf(l15,plain,
leq(sK29,minus(n0,n1)),
inference(instantiation,[status(thm)],[120]) ).
fof(pred_minus_1,plain,
! [X] : minus(X,n1) = pred(X),
file('Axioms/SWV003+0.ax',pred_minus_1) ).
cnf(94,plain,
minus(X0,n1) = pred(X0),
inference(cnf,[status(esa)],[pred_minus_1]) ).
cnf(l19,plain,
minus(n0,n1) = pred(n0),
inference(instantiation,[status(thm)],[94]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l45,l46,l15,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV041+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 08:05:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 9
% 1.69/0.54 % launching worker at depth: 10
% 25.51/3.58 % SZS status Theorem for theBenchmark
% 25.51/3.58 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------