%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN327+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 09:27:24 PM UTC 2025
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 29 ( 11 ~; 6 |; 4 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 9 ( 1 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_2,plain,
! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Z)
=> big_f(X,Y) )
& ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Y,X)
& big_f(Z,Y) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_2) ).
fof(church_46_12_2_negated,plain,
~ ! [X] :
? [Y] :
! [Z] :
( big_f(Y,X)
=> ( ( big_f(X,Z)
=> big_f(X,Y) )
& ( big_f(X,Y)
=> ( ~ big_f(X,Z)
=> ( big_f(Y,X)
& big_f(Z,Y) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_12_2]) ).
cnf(0,plain,
big_f(X0,sK1),
inference(cnf,[status(esa)],[church_46_12_2_negated]) ).
cnf(l0,plain,
big_f(sK1,sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ big_f(X0,sK1)
| ~ big_f(sK2(X0),X0)
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[church_46_12_2_negated]) ).
cnf(l1,plain,
( ~ big_f(sK1,sK1)
| ~ big_f(sK2(sK1),sK1)
| ~ sP0(sK1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l2,plain,
big_f(sK2(sK1),sK1),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ big_f(sK1,X0)
| sP0(X0) ),
inference(cnf,[status(esa)],[church_46_12_2_negated]) ).
cnf(l3,plain,
( ~ big_f(sK1,sK1)
| sP0(sK1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN327+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 15:50:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 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: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
% 0.12/0.35 % launching worker at depth: 9
%------------------------------------------------------------------------------