%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN319+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 : n026.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 09:27:23 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 : 19 ( 4 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 53 ( 18 ~; 17 |; 4 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% Number of variables : 52 ( 16 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_2_5,plain,
? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( big_g(X)
& ~ big_f(Z1) ) )
=> ( ( ( big_f(X)
| big_g(X) )
=> big_h(X) )
=> ( big_h(Z2)
& ( big_h(Y)
=> ( ( big_f(Z2)
| big_g(Z2) )
=> big_h(Z2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_2_5) ).
fof(church_46_2_5_negated,plain,
~ ? [X,Y] :
! [Z1,Z2] :
( ( ( big_f(Y)
=> big_g(Z1) )
=> ( big_g(X)
& ~ big_f(Z1) ) )
=> ( ( ( big_f(X)
| big_g(X) )
=> big_h(X) )
=> ( big_h(Z2)
& ( big_h(Y)
=> ( ( big_f(Z2)
| big_g(Z2) )
=> big_h(Z2) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_2_5]) ).
cnf(0,plain,
( big_f(X0)
| sP0(X0,X1) ),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l0,plain,
( big_f(sK1(X1_3,sK1(X1_7,sK2(X0_9,X1_9))))
| sP0(sK1(X1_3,sK1(X1_7,sK2(X0_9,X1_9))),sK2(X0_6,X1_6)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
( ~ big_f(sK1(X0,X1))
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l1,plain,
( ~ big_f(sK1(X1_3,sK1(X1_7,sK2(X0_9,X1_9))))
| ~ sP0(sK1(X1_7,sK2(X0_9,X1_9)),X1_3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
( big_g(X0)
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l2,plain,
( big_g(sK2(X0_6,X1_6))
| ~ sP0(sK1(X1_3,sK1(X1_7,sK2(X0_9,X1_9))),sK2(X0_6,X1_6)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l3,plain,
( big_f(sK1(X1_7,sK2(X0_9,X1_9)))
| sP0(sK1(X1_7,sK2(X0_9,X1_9)),X1_3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ big_g(X0)
| big_h(X0) ),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l4,plain,
( ~ big_g(sK2(X0_6,X1_6))
| big_h(sK2(X0_6,X1_6)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l5,plain,
( ~ big_f(sK1(X1_7,sK2(X0_9,X1_9)))
| ~ sP0(sK2(X0_9,X1_9),X1_7) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
~ big_h(sK2(X0,X1)),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l6,plain,
~ big_h(sK2(X0_6,X1_6)),
inference(instantiation,[status(thm)],[6]) ).
cnf(l7,plain,
( big_f(sK2(X0_9,X1_9))
| sP0(sK2(X0_9,X1_9),X1_7) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ big_f(X0)
| big_h(X0) ),
inference(cnf,[status(esa)],[church_46_2_5_negated]) ).
cnf(l8,plain,
( ~ big_f(sK2(X0_9,X1_9))
| big_h(sK2(X0_9,X1_9)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l9,plain,
~ big_h(sK2(X0_9,X1_9)),
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7,l8,l9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN319+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n026.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 15:48:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 7
% 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
%------------------------------------------------------------------------------