%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV140+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:01:30 AM UTC 2026
% Result : Theorem 7.51s 7.85s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 13 unt; 0 def)
% Number of atoms : 109 ( 7 equ)
% Maximal formula atoms : 27 ( 3 avg)
% Number of connectives : 106 ( 31 ~; 18 |; 27 &)
% ( 2 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-1 aty)
% Number of variables : 32 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(successor_1,axiom,
succ(n0) = n1 ).
fof(totality,axiom,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ) ).
fof(irreflexivity_gt,axiom,
! [X0] : ~ gt(X0,X0) ).
fof(reflexivity_leq,axiom,
! [X0] : leq(X0,X0) ).
fof(transitivity_leq,axiom,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ).
fof(leq_gt1,axiom,
! [X0,X1] :
( gt(X1,X0)
=> leq(X0,X1) ) ).
fof(leq_gt_pred,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ) ).
fof(leq_succ_gt_equiv,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> gt(succ(X1),X0) ) ).
fof(gauss_array_0010,conjecture,
( ( ( gt(loopcounter,n0)
=> leq('s$uworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$usworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$ubest7',n3) )
& ( gt(loopcounter,n0)
=> leq(n0,'s$uworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$usworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$ubest7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$uworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$usworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$ubest7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$uworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$usworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$ubest7') )
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv1341) )
=> leq(n0,'s$usworst7') ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ( ( gt(loopcounter,n0)
=> leq('s$uworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$usworst7',n3) )
& ( gt(loopcounter,n0)
=> leq('s$ubest7',n3) )
& ( gt(loopcounter,n0)
=> leq(n0,'s$uworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$usworst7') )
& ( gt(loopcounter,n0)
=> leq(n0,'s$ubest7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$uworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$usworst7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq('s$ubest7',n3) )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$uworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$usworst7') )
& ( ~ leq('tptp$ufloat$u0$u001',pv1341)
=> leq(n0,'s$ubest7') )
& leq(n1,loopcounter)
& leq('tptp$ufloat$u0$u001',pv1341) )
=> leq(n0,'s$usworst7') ),
inference(negate_conjecture,[status(cth)],[gauss_array_0010]) ).
cnf(c29,plain,
succ(n0) = n1,
inference(clausification,[status(esa)],[successor_1]) ).
cnf(c32,plain,
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(clausification,[status(esa)],[totality]) ).
cnf(c34,plain,
~ gt(X0,X0),
inference(clausification,[status(esa)],[irreflexivity_gt]) ).
cnf(c35,plain,
leq(X0,X0),
inference(clausification,[status(esa)],[reflexivity_leq]) ).
cnf(c36,plain,
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[transitivity_leq]) ).
cnf(c41,plain,
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(clausification,[status(esa)],[leq_gt1]) ).
cnf(c43,plain,
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c44,plain,
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(clausification,[status(esa)],[leq_gt_pred]) ).
cnf(c47,plain,
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(clausification,[status(esa)],[leq_succ_gt_equiv]) ).
cnf(c157,plain,
leq(n1,loopcounter),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c165,plain,
( leq(n0,'s$usworst7')
| ~ gt(loopcounter,n0) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c170,plain,
~ leq(n0,'s$usworst7'),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
~ gt(loopcounter,n0),
inference(resolution,[status(thm)],[c170,c165]) ).
cnf(d1,plain,
( gt(n0,loopcounter)
| n0 = loopcounter ),
inference(resolution,[status(thm)],[c32,d0]) ).
cnf(d2,plain,
( n0 = loopcounter
| leq(loopcounter,n0) ),
inference(resolution,[status(thm)],[c41,d1]) ).
cnf(d3,plain,
( leq(n1,X0)
| ~ leq(loopcounter,X0) ),
inference(resolution,[status(thm)],[c36,c157]) ).
cnf(d4,plain,
( leq(n1,pred(X0))
| ~ gt(X0,loopcounter) ),
inference(resolution,[status(thm)],[c44,d3]) ).
cnf(d5,plain,
( gt(X0,n1)
| ~ gt(X0,loopcounter) ),
inference(resolution,[status(thm)],[d4,c43]) ).
cnf(d6,plain,
( ~ leq(loopcounter,X0)
| gt(succ(X0),n1) ),
inference(resolution,[status(thm)],[d5,c47]) ).
cnf(d7,plain,
( ~ leq(loopcounter,n0)
| gt(n1,n1) ),
inference(superposition,[status(thm)],[c29,d6]) ).
cnf(d8,plain,
~ leq(loopcounter,n0),
inference(resolution,[status(thm)],[c34,d7]) ).
cnf(d9,plain,
n0 = loopcounter,
inference(resolution,[status(thm)],[d8,d2]) ).
cnf(d10,plain,
~ leq(n0,n0),
inference(demodulation,[status(thm)],[d8,d9]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[c35,d10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV140+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n013.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sat Sep 26 13:15:12 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.51/7.85 % SZS status Theorem for theBenchmark.p
% 7.51/7.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------