%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 09:02:13 AM UTC 2026
% Result : Theorem 12.82s 3.67s
% Output : CNFRefutation 12.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 19 ( 5 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 1 |; 0 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 29 ( 7 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax40,axiom,
! [X0,X1] :
( ok(triple(X0,X1,bad))
<=> $false ) ).
fof(ax41,axiom,
! [X0,X1,X2] :
( ~ ok(triple(X0,X1,X2))
=> X2 = bad ) ).
fof(ax42,axiom,
! [X0,X1,X2,X3] : 'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2) ).
fof(l13_co,conjecture,
! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok('insert$ucpq'(triple(X0,X1,X2),X3)) ) ).
fof(negated_conjecture,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ~ ok(triple(X0,X1,X2))
=> ~ ok('insert$ucpq'(triple(X0,X1,X2),X3)) ),
inference(negate_conjecture,[status(cth)],[l13_co]) ).
cnf(c36,plain,
~ ok(triple(X0,X1,bad)),
inference(clausification,[status(esa)],[ax40]) ).
cnf(c37,plain,
( X2 = bad
| ok(triple(X0,X1,X2)) ),
inference(clausification,[status(esa)],[ax41]) ).
cnf(c38,plain,
'insert$ucpq'(triple(X0,X1,X2),X3) = triple('insert$upqp'(X0,X3),'insert$uslb'(X1,pair(X3,bottom)),X2),
inference(clausification,[status(esa)],[ax42]) ).
cnf(c50,plain,
~ ok(triple(sK117,sK118,sK119)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c51,plain,
ok('insert$ucpq'(triple(sK117,sK118,sK119),sK120)),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
sK119 = bad,
inference(resolution,[status(thm)],[c37,c50]) ).
cnf(d1,plain,
ok('insert$ucpq'(triple(sK117,sK118,bad),sK120)),
inference(demodulation,[status(thm)],[c51,d0]) ).
cnf(d2,plain,
~ ok('insert$ucpq'(triple(X0,X2,bad),X1)),
inference(superposition,[status(thm)],[c38,c36]) ).
cnf(d3,plain,
$false,
inference(resolution,[status(thm)],[d2,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV377+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 13:39:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.82/3.67 % SZS status Theorem for theBenchmark.p
% 12.82/3.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------