%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN356+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.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 09:27:31 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 37 ( 13 ~; 10 |; 8 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 1 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(x2107,plain,
( ( big_r(a,b)
& ! [X,Y] :
( big_r(X,Y)
=> ( big_r(Y,X)
& big_q(X,Y) ) )
& ! [U,V] :
( big_q(U,V)
=> big_q(U,U) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2107) ).
fof(x2107_negated,plain,
~ ( ( big_r(a,b)
& ! [X,Y] :
( big_r(X,Y)
=> ( big_r(Y,X)
& big_q(X,Y) ) )
& ! [U,V] :
( big_q(U,V)
=> big_q(U,U) ) )
=> ( big_q(a,a)
& big_q(b,b) ) ),
inference(negate_conjecture,[status(cth)],[x2107]) ).
cnf(0,plain,
big_r(a,b),
inference(cnf,[status(esa)],[x2107_negated]) ).
cnf(l0,plain,
big_r(a,b),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ big_r(X0,X1)
| big_q(X0,X1) ),
inference(cnf,[status(esa)],[x2107_negated]) ).
cnf(l1,plain,
( ~ big_r(a,b)
| big_q(a,b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( ~ big_q(X0,X1)
| big_q(X0,X0) ),
inference(cnf,[status(esa)],[x2107_negated]) ).
cnf(l2,plain,
( ~ big_q(a,b)
| big_q(a,a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( ~ big_q(a,a)
| ~ big_q(b,b) ),
inference(cnf,[status(esa)],[x2107_negated]) ).
cnf(l3,plain,
( ~ big_q(a,a)
| ~ big_q(b,b) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( ~ big_q(b,a)
| big_q(b,b) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( ~ big_r(b,a)
| big_q(b,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_r(X0,X1)
| big_r(X1,X0) ),
inference(cnf,[status(esa)],[x2107_negated]) ).
cnf(l6,plain,
( ~ big_r(a,b)
| big_r(b,a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN356+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 15:56:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 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: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
% 0.12/0.34 % launching worker at depth: 10
%------------------------------------------------------------------------------