%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN050+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 : n023.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 09:26:42 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 23 ( 7 ~; 4 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 25 ( 7 sgn 6 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel20,plain,
( ! [X,Y] :
? [Z] :
! [W] :
( ( big_p(X)
& big_q(Y) )
=> ( big_r(Z)
& big_s(W) ) )
=> ? [X1,Y1] :
( ( big_p(X1)
& big_q(Y1) )
=> ? [Z1] : big_r(Z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel20) ).
fof(pel20_negated,plain,
~ ( ! [X,Y] :
? [Z] :
! [W] :
( ( big_p(X)
& big_q(Y) )
=> ( big_r(Z)
& big_s(W) ) )
=> ? [X1,Y1] :
( ( big_p(X1)
& big_q(Y1) )
=> ? [Z1] : big_r(Z1) ) ),
inference(negate_conjecture,[status(cth)],[pel20]) ).
cnf(2,plain,
big_p(X0),
inference(cnf,[status(esa)],[pel20_negated]) ).
cnf(l0,plain,
big_p(X1_1),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ big_q(X0)
| ~ big_p(X1)
| big_r(sK1(X1,X0)) ),
inference(cnf,[status(esa)],[pel20_negated]) ).
cnf(l1,plain,
( ~ big_q(X0_2)
| ~ big_p(X1_1)
| big_r(sK1(X1_1,X0_2)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
big_q(X0),
inference(cnf,[status(esa)],[pel20_negated]) ).
cnf(l2,plain,
big_q(X0_2),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
~ big_r(X0),
inference(cnf,[status(esa)],[pel20_negated]) ).
cnf(l3,plain,
~ big_r(sK1(X1_1,X0_2)),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN050+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:29:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
% 0.13/0.35 % launching worker at depth: 9
%------------------------------------------------------------------------------