%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN939+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 09:28:40 PM UTC 2025
% Result : Theorem 0.14s 0.34s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 66 ( 27 ~; 27 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 17 ( 4 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
! [C,B] :
( ! [Z] : q(f(Z))
=> ? [X,Y] :
( ( p(f(Y))
=> p(X) )
& ( r(Y)
=> ( r(B)
& r(C) ) )
& q(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
fof(prove_this_negated,plain,
~ ! [C,B] :
( ! [Z] : q(f(Z))
=> ? [X,Y] :
( ( p(f(Y))
=> p(X) )
& ( r(Y)
=> ( r(B)
& r(C) ) )
& q(X) ) ),
inference(negate_conjecture,[status(cth)],[prove_this]) ).
cnf(0,plain,
q(f(X0)),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l0,plain,
q(f(sK1)),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ p(X0)
| ~ q(X0)
| sP0(X1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ p(f(sK1))
| ~ q(f(sK1))
| sP0(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ q(X0)
| p(f(X1))
| sP0(X1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
( ~ q(f(sK1))
| p(f(sK1))
| sP0(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
( r(X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l3,plain,
( r(sK1)
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( r(sK2)
| ~ sP0(sK2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ r(sK1)
| ~ r(sK2)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l5,plain,
( ~ r(sK1)
| ~ r(sK2)
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l6,plain,
( r(sK2)
| ~ sP0(sK2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l7,plain,
( ~ r(sK1)
| ~ r(sK2)
| ~ sP0(sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l8,plain,
( ~ q(f(sK1))
| p(f(sK2))
| sP0(sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,plain,
( r(sK1)
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l10,plain,
( ~ p(f(sK2))
| ~ q(f(sK2))
| sP0(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l11,plain,
( ~ p(f(sK1))
| ~ q(f(sK1))
| sP0(sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l12,plain,
( ~ q(f(sK1))
| p(f(sK1))
| sP0(sK1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
q(f(sK2)),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9,l10,l11,l12,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN939+1 : TPTP v9.0.0. Released v3.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Jul 22 18:50:19 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------