%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN941+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 : 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 09:28:40 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 : 14 ( 3 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 47 ( 19 ~; 16 |; 6 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 13 ( 3 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,plain,
! [B,C] :
( q(f(B))
=> ? [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,
~ ! [B,C] :
( q(f(B))
=> ? [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(sK1)),
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)
| r(X1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l1,plain,
( ~ p(f(sK1))
| ~ q(f(sK1))
| r(sK2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ q(X0)
| p(f(X1)) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l2,plain,
( ~ q(f(sK1))
| p(f(sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
( ~ p(X0)
| ~ q(X0)
| ~ r(sK2)
| ~ r(sK1) ),
inference(cnf,[status(esa)],[prove_this_negated]) ).
cnf(l3,plain,
( ~ p(f(sK1))
| ~ q(f(sK1))
| ~ r(sK2)
| ~ r(sK1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
( ~ q(f(sK1))
| p(f(sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l5,plain,
( ~ p(f(sK1))
| ~ q(f(sK1))
| r(sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l6,plain,
( ~ q(f(sK1))
| p(f(sK1)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN941+1 : TPTP v9.0.0. Released v3.1.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 18:50:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % 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
%------------------------------------------------------------------------------