%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN979+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 09:28:45 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 : 9 ( 5 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 29 ( 5 ~; 2 |; 14 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 10 ( 2 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
! [A,B] :
? [X,Y] :
( ( ( q(X)
=> p(X,A) )
& q(A)
& q(B)
& ( r(Y)
=> p(B,Y) )
& r(A)
& r(B)
& ( s(A)
=> p(X,Y) )
& s(A) )
=> p(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ! [A,B] :
? [X,Y] :
( ( ( q(X)
=> p(X,A) )
& q(A)
& q(B)
& ( r(Y)
=> p(B,Y) )
& r(A)
& r(B)
& ( s(A)
=> p(X,Y) )
& s(A) )
=> p(A,B) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(7,plain,
s(sK1),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
s(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ s(sK1)
| p(X0,X1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ s(sK1)
| p(sK1,sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
~ p(sK1,sK2),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
~ p(sK1,sK2),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN979+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 18:52:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 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: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------