%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN349+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 : n024.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 09:27:30 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 : 36 ( 1 unt; 0 def)
% Number of atoms : 101 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 113 ( 48 ~; 55 |; 0 &)
% ( 8 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% Number of variables : 53 ( 0 sgn 4 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_17_5,plain,
? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_17_5) ).
fof(church_46_17_5_negated,plain,
~ ? [X1] :
! [X2] :
? [X3] :
! [X4] :
( ( big_f(X1,X4)
<=> big_f(X2,X4) )
=> ( ( ( big_f(X1,X4)
<=> big_f(X4,X3) )
<=> big_f(X3,X4) )
<=> big_f(X4,X2) ) ),
inference(negate_conjecture,[status(cth)],[church_46_17_5]) ).
cnf(0,plain,
( ~ big_f(X0,sK2(X0,X1))
| big_f(sK1(X0),sK2(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l0,plain,
( ~ big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( big_f(X0,sK2(X0,X1))
| big_f(sK2(X0,X1),X1)
| big_f(sK2(X0,X1),sK1(X0))
| sP1(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l1,plain,
( big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| sP1(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(13,plain,
( big_f(X0,sK2(X1,X0))
| ~ sP1(X1,X0) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l2,plain,
( big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| ~ sP1(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(4,plain,
( ~ big_f(X0,sK2(X1,X0))
| big_f(sK2(X1,X0),sK1(X1))
| sP1(X1,X0) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l3,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| sP1(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ big_f(sK1(X0),sK2(X0,X1))
| big_f(X0,sK2(X0,X1)) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l4,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(X0_26,sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(11,plain,
( ~ big_f(sK2(X0,X1),X1)
| sP0(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l5,plain,
( ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| sP0(X0_26,sK1(X0_26))
| ~ sP1(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(6,plain,
( ~ big_f(sK2(X0,X1),X1)
| ~ big_f(sK2(X0,X1),sK1(X0))
| big_f(X1,sK2(X0,X1))
| sP2(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l9,plain,
( ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| sP2(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
( big_f(X0,sK2(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l11,plain,
( big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| ~ sP0(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(15,plain,
( big_f(sK2(X0,X1),X1)
| ~ sP0(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l13,plain,
( big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ sP0(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(9,plain,
( big_f(X0,sK2(X0,X1))
| ~ sP2(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l15,plain,
( big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| ~ sP2(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l12,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(X0_26,sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l6,plain,
( ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| sP2(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
( ~ big_f(X0,sK2(X0,X1))
| ~ big_f(X1,sK2(X0,X1))
| ~ big_f(sK2(X0,X1),X1)
| ~ big_f(sK2(X0,X1),sK1(X0)) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l7,plain,
( ~ big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l22,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(X0_26,sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(X0_26,sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l24,plain,
( big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| ~ sP2(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(12,plain,
( ~ big_f(X0,sK2(X0,X1))
| sP0(X0,X1)
| ~ sP1(X0,X1) ),
inference(cnf,[status(esa)],[church_46_17_5_negated]) ).
cnf(l17,plain,
( ~ big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| sP0(X0_26,sK1(X0_26))
| ~ sP1(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l21,plain,
( ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| big_f(X0_26,sK2(X0_26,sK1(X0_26))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l16,plain,
( ~ big_f(X0_26,sK2(X0_26,sK1(X0_26)))
| ~ big_f(sK1(X0_26),sK2(X0_26,sK1(X0_26)))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l23,plain,
( big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ sP0(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l26,plain,
( big_f(sK2(X0_26,sK1(X0_26)),sK1(X0_26))
| ~ sP0(X0_26,sK1(X0_26)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l9,l11,l13,l15,l12,l6,l7,l22,l14,l24,l17,l21,l16,l23,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : SYN349+1 : TPTP v9.0.0. Released v2.0.0.
% 0.09/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 15:54:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 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: 4
% 0.12/0.33 % launching worker at depth: 2
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.35 % SZS status Theorem for theBenchmark
% 0.12/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------