%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV140+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 18.01s 2.59s
% Output : CNFRefutation 18.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 72 ( 3 equ)
% Maximal formula atoms : 27 ( 4 avg)
% Number of connectives : 76 ( 19 ~; 4 |; 26 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gauss_array_0010,plain,
( ( leq(tptp_float_0_001,pv1341)
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_sworst7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gauss_array_0010) ).
fof(gauss_array_0010_negated,plain,
~ ( ( leq(tptp_float_0_001,pv1341)
& leq(n1,loopcounter)
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_best7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_sworst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(n0,s_worst7) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_best7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_sworst7,n3) )
& ( ~ leq(tptp_float_0_001,pv1341)
=> leq(s_worst7,n3) )
& ( gt(loopcounter,n0)
=> leq(n0,s_best7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_sworst7) )
& ( gt(loopcounter,n0)
=> leq(n0,s_worst7) )
& ( gt(loopcounter,n0)
=> leq(s_best7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_sworst7,n3) )
& ( gt(loopcounter,n0)
=> leq(s_worst7,n3) ) )
=> leq(n0,s_sworst7) ),
inference(negate_conjecture,[status(cth)],[gauss_array_0010]) ).
cnf(116,plain,
leq(n1,loopcounter),
inference(cnf,[status(esa)],[gauss_array_0010_negated]) ).
cnf(l0,plain,
leq(n1,loopcounter),
inference(instantiation,[status(thm)],[116]) ).
fof(successor_1,plain,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).
cnf(159,plain,
succ(n0) = n1,
inference(cnf,[status(esa)],[successor_1]) ).
cnf(l53,plain,
succ(n0) = n1,
inference(instantiation,[status(thm)],[159]) ).
fof(leq_succ_gt,plain,
! [X,Y] :
( leq(succ(X),Y)
=> gt(Y,X) ),
file('Axioms/SWV003+0.ax',leq_succ_gt) ).
cnf(99,plain,
( ~ leq(succ(X0),X1)
| gt(X1,X0) ),
inference(cnf,[status(esa)],[leq_succ_gt]) ).
cnf(l11,plain,
( ~ leq(succ(n0),loopcounter)
| gt(loopcounter,n0) ),
inference(instantiation,[status(thm)],[99]) ).
cnf(124,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) ),
inference(cnf,[status(esa)],[gauss_array_0010_negated]) ).
cnf(l15,plain,
( ~ gt(loopcounter,n0)
| leq(n0,s_sworst7) ),
inference(instantiation,[status(thm)],[124]) ).
cnf(129,plain,
~ leq(n0,s_sworst7),
inference(cnf,[status(esa)],[gauss_array_0010_negated]) ).
cnf(l111,plain,
~ leq(n0,s_sworst7),
inference(instantiation,[status(thm)],[129]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l53,l11,l15,l111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV140+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 08:19:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.19/0.36 % launching worker at depth: 9
% 1.88/0.57 % launching worker at depth: 10
% 18.01/2.59 % SZS status Theorem for theBenchmark
% 18.01/2.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------