%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN328+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 : 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 09:27:25 PM UTC 2025
% Result : Theorem 9.93s 1.62s
% Output : CNFRefutation 9.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 65 ( 1 unt; 0 def)
% Number of atoms : 176 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 182 ( 71 ~; 87 |; 4 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 68 ( 0 sgn 4 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_12_3,plain,
? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',church_46_12_3) ).
fof(church_46_12_3_negated,plain,
~ ? [X] :
! [Y,Z] :
( ( ( big_f(Y)
=> big_g(Y) )
<=> big_f(X) )
=> ( ( ( big_f(Y)
=> big_h(Y) )
<=> big_g(X) )
=> ( ( ( ( big_f(Y)
=> big_g(Y) )
=> big_h(Y) )
<=> big_h(X) )
=> ( big_f(Z)
& big_g(Z)
& big_h(Z) ) ) ) ),
inference(negate_conjecture,[status(cth)],[church_46_12_3]) ).
cnf(0,plain,
( big_f(X0)
| big_f(sK1(X0)) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l0,plain,
( big_f(sK2(X0_46))
| big_f(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
( ~ big_f(sK2(X0))
| ~ big_g(sK2(X0))
| ~ big_h(sK2(X0)) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l1,plain,
( ~ big_f(sK2(X0_46))
| ~ big_g(sK2(X0_46))
| ~ big_h(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(2,plain,
( ~ big_f(X0)
| ~ big_f(sK1(X0))
| big_g(sK1(X0)) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l2,plain,
( ~ big_f(sK2(X0_46))
| ~ big_f(sK1(sK2(X0_46)))
| big_g(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ big_h(sK1(X0))
| big_g(X0) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l189,plain,
( ~ big_h(sK1(sK2(X0_46)))
| big_g(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(7,plain,
( ~ big_h(sK1(X0))
| big_h(X0) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l260,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
( ~ big_f(sK1(X0))
| big_g(sK1(X0))
| big_h(X0) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l502,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l526,plain,
( big_f(sK1(sK1(sK2(X0_46))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( ~ big_g(sK1(X0))
| big_f(X0) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l7,plain,
( ~ big_g(sK1(sK2(X0_46)))
| big_f(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l46,plain,
( ~ big_f(sK2(X0_46))
| ~ big_g(sK2(X0_46))
| ~ big_h(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l833,plain,
( ~ big_g(sK1(sK2(X0_46)))
| big_f(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ big_h(sK1(sK2(X0_46)))
| big_h(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l48,plain,
( ~ big_h(sK1(sK2(X0_46)))
| big_g(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l53,plain,
( ~ big_h(sK1(sK2(X0_46)))
| big_h(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l60,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,plain,
( ~ big_f(sK1(X0))
| ~ big_g(X0)
| big_h(sK1(X0)) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l551,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l556,plain,
( ~ big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l561,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l835,plain,
( ~ big_f(sK2(X0_46))
| ~ big_f(sK1(sK2(X0_46)))
| big_g(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(3,plain,
( big_f(sK1(X0))
| big_g(X0) ),
inference(cnf,[status(esa)],[church_46_12_3_negated]) ).
cnf(l841,plain,
( big_f(sK1(sK2(X0_46)))
| big_g(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l136,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l848,plain,
( ~ big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l886,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l196,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| big_g(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l836,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l855,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l834,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_g(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l581,plain,
( big_f(sK1(sK1(sK2(X0_46))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l968,plain,
( ~ big_f(sK2(X0_46))
| ~ big_f(sK1(sK2(X0_46)))
| big_g(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l891,plain,
( big_f(sK1(sK1(sK2(X0_46))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l873,plain,
( big_f(sK1(sK1(sK2(X0_46))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l880,plain,
( ~ big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l953,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l912,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l837,plain,
( ~ big_h(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l592,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l586,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| ~ big_g(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l907,plain,
( ~ big_f(sK1(sK1(sK2(X0_46))))
| ~ big_g(sK1(sK2(X0_46)))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l970,plain,
( big_f(sK1(sK2(X0_46)))
| big_g(sK2(X0_46)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l909,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l864,plain,
( ~ big_h(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l878,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l1042,plain,
( ~ big_f(sK1(sK1(sK1(sK2(X0_46)))))
| ~ big_g(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l595,plain,
( big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK1(sK1(sK2(X0_46)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1043,plain,
( ~ big_f(sK1(sK2(X0_46)))
| ~ big_f(sK1(sK1(sK2(X0_46))))
| big_g(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1044,plain,
( big_f(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK1(sK1(sK2(X0_46)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l815,plain,
( ~ big_g(sK1(sK1(sK1(sK2(X0_46)))))
| big_f(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l629,plain,
( ~ big_f(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_g(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_h(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1060,plain,
( ~ big_f(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_g(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_h(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1079,plain,
( big_f(sK1(sK1(sK2(X0_46))))
| big_g(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l1061,plain,
( ~ big_g(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l633,plain,
( ~ big_h(sK1(sK1(sK1(sK2(X0_46)))))
| big_h(sK1(sK1(sK2(X0_46)))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l715,plain,
( ~ big_g(sK1(sK1(sK1(sK1(sK2(X0_46))))))
| big_f(sK1(sK1(sK1(sK2(X0_46))))) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l636,plain,
( ~ big_h(sK1(sK1(sK2(X0_46))))
| big_h(sK1(sK2(X0_46))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l189,l260,l502,l526,l7,l46,l833,l4,l48,l53,l60,l551,l556,l561,l835,l841,l136,l848,l886,l196,l836,l855,l834,l581,l968,l891,l873,l880,l953,l912,l837,l592,l586,l907,l970,l909,l864,l878,l1042,l595,l1043,l1044,l815,l629,l1060,l1079,l1061,l633,l715,l636]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN328+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 15:50:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 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
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.18/0.40 % launching worker at depth: 12
% 1.66/0.53 % launching worker at depth: 13
% 9.93/1.58 % launching worker at depth: 14
% 9.93/1.62 % SZS status Theorem for theBenchmark
% 9.93/1.62 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------