%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV135+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 : n018.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 04:46:09 PM UTC 2025
% Result : Theorem 37.16s 5.03s
% Output : CNFRefutation 37.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 34 ( 9 ~; 6 |; 15 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_array_0005,plain,
( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0005) ).
fof(gauss_array_0005_negated,plain,
~ ( ( leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n2,pv1325)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv1325,n3) )
=> leq(n0,pv1325) ),
inference(negate_conjecture,[status(cth)],[gauss_array_0005]) ).
cnf(118,plain,
leq(n2,pv1325),
inference(cnf,[status(esa)],[gauss_array_0005_negated]) ).
cnf(l0,plain,
leq(n2,pv1325),
inference(instantiation,[status(thm)],[118]) ).
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,n2)
| ~ leq(n2,pv1325)
| leq(n0,pv1325) ),
inference(instantiation,[status(thm)],[4]) ).
fof(leq_gt1,plain,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('Axioms/SWV003+0.ax',leq_gt1) ).
cnf(9,plain,
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf,[status(esa)],[leq_gt1]) ).
cnf(l34,plain,
( ~ gt(n2,n0)
| leq(n0,n2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(123,plain,
~ leq(n0,pv1325),
inference(cnf,[status(esa)],[gauss_array_0005_negated]) ).
cnf(l4,plain,
~ leq(n0,pv1325),
inference(instantiation,[status(thm)],[123]) ).
fof(gt_2_0,plain,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gt_2_0) ).
cnf(134,plain,
gt(n2,n0),
inference(cnf,[status(esa)],[gt_2_0]) ).
cnf(l36,plain,
gt(n2,n0),
inference(instantiation,[status(thm)],[134]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l34,l4,l36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV135+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.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 08:18:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.19/0.34 % launching worker at depth: 1
% 0.19/0.34 % launching worker at depth: 2
% 0.19/0.34 % launching worker at depth: 7
% 0.19/0.34 % launching worker at depth: 4
% 0.19/0.34 % launching worker at depth: 5
% 0.19/0.34 % launching worker at depth: 6
% 0.19/0.34 % launching worker at depth: 8
% 0.19/0.34 % launching worker at depth: 3
% 0.19/0.36 % launching worker at depth: 9
% 1.92/0.57 % launching worker at depth: 10
% 37.16/5.03 % SZS status Theorem for theBenchmark
% 37.16/5.03 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------