%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN726+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 09:28:23 PM UTC 2025
% Result : Theorem 31.83s 4.34s
% Output : CNFRefutation 31.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 91 ( 34 ~; 39 |; 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 : 38 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm400,plain,
( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm400) ).
fof(thm400_negated,plain,
~ ( ( ( ! [X,Y,Z] :
( ( p(X,Y)
& p(Y,Z) )
=> p(X,Z) )
& ! [X,Y,Z] :
( ( q(X,Y)
& q(Y,Z) )
=> q(X,Z) )
& ! [X,Y] :
( q(X,Y)
=> q(Y,X) )
& ! [X,Y] :
( p(X,Y)
| q(X,Y) ) )
=> ! [X,Y] : p(X,Y) )
| ! [X,Y] : q(X,Y) ),
inference(negate_conjecture,[status(cth)],[thm400]) ).
cnf(3,plain,
( q(X0,X1)
| p(X0,X1) ),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l0,plain,
( q(sK1,sK2)
| p(sK1,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(1,plain,
( ~ q(X0,X1)
| ~ q(X1,X2)
| q(X0,X2) ),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l1,plain,
( ~ q(sK1,sK2)
| ~ q(sK2,sK4)
| q(sK1,sK4) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(2,plain,
( ~ q(X0,X1)
| q(X1,X0) ),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l3,plain,
( ~ q(sK1,sK4)
| q(sK4,sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
~ p(sK1,sK2),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l2,plain,
~ p(sK1,sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l149,plain,
( ~ q(sK4,sK2)
| q(sK2,sK4) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l150,plain,
( ~ q(sK4,sK1)
| ~ q(sK1,sK2)
| q(sK4,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l151,plain,
( q(sK4,sK1)
| p(sK4,sK1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( ~ q(sK4,sK1)
| ~ q(sK1,sK3)
| q(sK4,sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l8,plain,
( ~ q(sK4,sK3)
| q(sK3,sK4) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ p(X0,X1)
| ~ p(X1,X2)
| p(X0,X2) ),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l152,plain,
( ~ p(sK4,sK1)
| ~ p(sK1,sK2)
| p(sK4,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l230,plain,
( ~ p(sK1,sK4)
| ~ p(sK4,sK2)
| p(sK1,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l231,plain,
~ p(sK1,sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(l276,plain,
( ~ q(sK1,sK2)
| ~ q(sK2,sK3)
| q(sK1,sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l155,plain,
( ~ p(sK1,sK4)
| ~ p(sK4,sK2)
| p(sK1,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l157,plain,
( q(sK4,sK2)
| p(sK4,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l277,plain,
( ~ q(sK3,sK2)
| q(sK2,sK3) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l175,plain,
( q(sK1,sK4)
| p(sK1,sK4) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l278,plain,
( q(sK3,sK2)
| p(sK3,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l281,plain,
( ~ p(sK1,sK3)
| ~ p(sK3,sK2)
| p(sK1,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l285,plain,
( q(sK1,sK3)
| p(sK1,sK3) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l283,plain,
~ p(sK1,sK2),
inference(instantiation,[status(thm)],[4]) ).
cnf(5,plain,
~ q(sK3,sK4),
inference(cnf,[status(esa)],[thm400_negated]) ).
cnf(l171,plain,
~ q(sK3,sK4),
inference(instantiation,[status(thm)],[5]) ).
cnf(l249,plain,
( q(sK1,sK4)
| p(sK1,sK4) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l181,plain,
( ~ q(sK1,sK4)
| q(sK4,sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l250,plain,
( ~ q(sK1,sK4)
| q(sK4,sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l149,l150,l151,l5,l8,l152,l230,l231,l276,l155,l157,l277,l175,l278,l281,l285,l283,l171,l249,l181,l250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN726+1 : TPTP v9.0.0. Released v2.5.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 17:48:04 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.50 % launching worker at depth: 12
% 8.37/1.39 % launching worker at depth: 13
% 31.83/4.34 % SZS status Theorem for theBenchmark
% 31.83/4.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------