%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:29:26 AM UTC 2026
% Result : Theorem 3.51s 7.93s
% Output : CNFRefutation 3.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 49 ( 11 ~; 20 |; 10 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 53 ( 3 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm400,conjecture,
( ! [X0,X1] : q(X0,X1)
| ( ( ! [X0,X1] :
( q(X0,X1)
| p(X0,X1) )
& ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X0,X1,X2] :
( ( q(X1,X2)
& q(X0,X1) )
=> q(X0,X2) )
& ! [X0,X1,X2] :
( ( p(X1,X2)
& p(X0,X1) )
=> p(X0,X2) ) )
=> ! [X0,X1] : p(X0,X1) ) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( ! [X0,X1] : q(X0,X1)
| ( ( ! [X0,X1] :
( q(X0,X1)
| p(X0,X1) )
& ! [X0,X1] :
( q(X0,X1)
=> q(X1,X0) )
& ! [X0,X1,X2] :
( ( q(X1,X2)
& q(X0,X1) )
=> q(X0,X2) )
& ! [X0,X1,X2] :
( ( p(X1,X2)
& p(X0,X1) )
=> p(X0,X2) ) )
=> ! [X0,X1] : p(X0,X1) ) ),
inference(negate_conjecture,[status(cth)],[thm400]) ).
cnf(c0,plain,
( p(X0,X2)
| ~ p(X1,X2)
| ~ p(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c1,plain,
( q(X0,X2)
| ~ q(X1,X2)
| ~ q(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c2,plain,
( q(X1,X0)
| ~ q(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c4,plain,
~ p(sK10,sK11),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(c5,plain,
~ q(sK12,sK13),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
q(sK10,sK11),
inference(resolution,[status(thm)],[c3,c4]) ).
cnf(d1,plain,
q(sK11,sK10),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
( ~ q(X0,sK11)
| q(X0,sK10) ),
inference(resolution,[status(thm)],[d1,c1]) ).
cnf(d3,plain,
( p(X0,X2)
| ~ p(X1,X2)
| q(X0,X1) ),
inference(resolution,[status(thm)],[c3,c0]) ).
cnf(d4,plain,
( q(X2,X1)
| q(X0,X2)
| p(X0,X1) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
( q(sK10,X0)
| q(X0,sK11) ),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
( q(X0,sK10)
| q(sK10,X0) ),
inference(resolution,[status(thm)],[d5,d2]) ).
cnf(d7,plain,
( q(sK10,X0)
| q(sK10,X0) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d8,plain,
( ~ q(X0,sK10)
| q(X0,X1) ),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
( q(X0,sK10)
| q(X0,sK10) ),
inference(resolution,[status(thm)],[d6,c2]) ).
cnf(d10,plain,
q(X0,X1),
inference(resolution,[status(thm)],[d9,d8]) ).
cnf(d11,plain,
$false,
inference(resolution,[status(thm)],[d10,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n016.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % 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 18:26:51 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.51/7.93 % SZS status Theorem for theBenchmark.p
% 3.51/7.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------