%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN347+1 : TPTP v9.0.0. Released v2.0.0.
% 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 09:27:29 PM UTC 2025
% Result : Theorem 0.20s 0.35s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 71 ( 30 ~; 35 |; 0 &)
% ( 6 <=>; 0 =>; 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 6 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_3,plain,
! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_3) ).
fof(church_46_17_3_negated,plain,
~ ! [Z1,Z2] :
? [X1,X2] :
! [Y] :
( ( ( big_f(X1,Y)
<=> big_f(X2,Y) )
<=> big_f(Z1,Z2) )
| ( big_f(Z1,Y)
<=> big_f(Z2,Y) ) ),
inference(negate_conjecture,[status(cth)],[church_46_17_3]) ).
cnf(0,plain,
( ~ big_f(X0,sK3(X0,X1))
| big_f(sK1,sK2)
| sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l0,plain,
( ~ big_f(sK2,sK3(sK2,sK1))
| big_f(sK1,sK2)
| sP0(sK1,sK2) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
( ~ big_f(X0,sK3(X0,X1))
| ~ big_f(X1,sK3(X0,X1))
| ~ big_f(sK1,sK2) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l1,plain,
( ~ big_f(X0_10,sK3(X0_10,X0_10))
| ~ big_f(X0_10,sK3(X0_10,X0_10))
| ~ big_f(sK1,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
( big_f(X0,sK3(X0,X1))
| ~ sP0(X1,X0) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l2,plain,
( big_f(sK2,sK3(sK2,sK1))
| ~ sP0(sK1,sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l3,plain,
( big_f(sK2,sK3(sK2,sK1))
| ~ sP0(sK1,sK2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ big_f(sK1,sK2)
| big_f(X0,sK3(X0,X1))
| big_f(X1,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l4,plain,
( ~ big_f(sK1,sK2)
| big_f(X0_10,sK3(X0_10,X0_10))
| big_f(X0_10,sK3(X0_10,X0_10)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ big_f(X0,sK3(X1,X0))
| big_f(sK1,sK2)
| sP0(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l7,plain,
( ~ big_f(sK1,sK3(sK2,sK1))
| big_f(sK1,sK2)
| sP0(sK1,sK2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ big_f(sK1,sK3(X0,X1))
| ~ big_f(sK2,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l5,plain,
( ~ big_f(sK1,sK3(sK2,sK1))
| ~ big_f(sK2,sK3(sK2,sK1)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
( big_f(sK1,sK3(X0,X1))
| big_f(sK2,sK3(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l11,plain,
( big_f(sK1,sK3(sK2,sK1))
| big_f(sK2,sK3(sK2,sK1)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l9,plain,
( ~ big_f(sK1,sK2)
| big_f(X0_24,sK3(X0_24,X0_24))
| big_f(X0_24,sK3(X0_24,X0_24)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l10,plain,
( ~ big_f(sK1,sK2)
| big_f(X0_10,sK3(X0_10,X0_10))
| big_f(X0_10,sK3(X0_10,X0_10)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,plain,
( big_f(X0,sK3(X1,X0))
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_3_negated]) ).
cnf(l23,plain,
( big_f(sK1,sK3(sK2,sK1))
| ~ sP0(sK1,sK2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l22,plain,
( ~ big_f(X0_24,sK3(X0_24,X0_24))
| ~ big_f(X0_24,sK3(X0_24,X0_24))
| ~ big_f(sK1,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l24,plain,
( ~ big_f(X0_24,sK3(X0_24,X0_24))
| ~ big_f(X0_24,sK3(X0_24,X0_24))
| ~ big_f(sK1,sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l7,l5,l11,l9,l10,l23,l22,l24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN347+1 : TPTP v9.0.0. Released v2.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:54:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.35 % launching worker at depth: 10
% 0.20/0.35 % SZS status Theorem for theBenchmark
% 0.20/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------