%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:14:55 PM UTC 2026
% Result : Theorem 0.03s 0.31s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 42 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 21 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 22 ( 3 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 96 ( 18 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_cn_1,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_1) ).
fof(prove_cn_1_negated,plain,
~ ! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(negate_conjecture,[status(cth)],[prove_cn_1]) ).
cnf(2,plain,
~ is_a_theorem(implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3)))),
inference(cnf,[status(esa)],[prove_cn_1_negated]) ).
cnf(l0,plain,
~ is_a_theorem(implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3)))),
inference(instantiation,[status(thm)],[2]) ).
fof(condensed_detachment,plain,
! [X,Y] :
( ~ is_a_theorem(implies(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(0,plain,
( ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1) ),
inference(cnf,[status(esa)],[condensed_detachment]) ).
cnf(l1,plain,
( ~ is_a_theorem(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))))
| ~ is_a_theorem(implies(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3)))))
| is_a_theorem(implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3)))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l2,plain,
( ~ is_a_theorem(implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3))),implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))))))
| is_a_theorem(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l18,plain,
( ~ is_a_theorem(implies(implies(sK2,sK3),implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1))))))
| ~ is_a_theorem(implies(implies(implies(sK2,sK3),implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3)))))
| is_a_theorem(implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3)))) ),
inference(instantiation,[status(thm)],[0]) ).
fof(a5,plain,
! [A,B,C,D,E] : is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(D,E)),implies(B,implies(not(D),not(A)))),implies(A,D)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a5) ).
cnf(1,plain,
is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,implies(X3,X4)),implies(X1,implies(not(X3),not(X0)))),implies(X0,X3)))),
inference(cnf,[status(esa)],[a5]) ).
cnf(l19,plain,
is_a_theorem(implies(implies(implies(sK2,sK3),implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ is_a_theorem(implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))))
| ~ is_a_theorem(implies(implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),implies(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3))))))
| is_a_theorem(implies(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l5,plain,
is_a_theorem(implies(implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),implies(implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(sK2,sK3),implies(sK1,sK3)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l4,plain,
( ~ is_a_theorem(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))))
| ~ is_a_theorem(implies(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))
| is_a_theorem(implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l12,plain,
( ~ is_a_theorem(implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))))
| ~ is_a_theorem(implies(implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))))))
| is_a_theorem(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
is_a_theorem(implies(implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l13,plain,
( ~ is_a_theorem(implies(implies(sK1,sK2),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3))))
| ~ is_a_theorem(implies(implies(implies(sK1,sK2),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3))),implies(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))))))
| is_a_theorem(implies(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))))) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l20,plain,
is_a_theorem(implies(implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(implies(sK2,sK3),implies(sK1,sK3))),implies(implies(implies(X2_20,implies(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))),X4_20)),implies(implies(implies(sK2,sK3),implies(sK1,sK3)),implies(not(implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2)))),not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(implies(sK2,sK3),implies(sK1,sK3))),not(implies(sK1,sK2))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
is_a_theorem(implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l21,plain,
is_a_theorem(implies(implies(sK2,sK3),implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l15,plain,
is_a_theorem(implies(implies(sK1,sK2),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))),
inference(instantiation,[status(thm)],[1]) ).
cnf(l17,plain,
is_a_theorem(implies(implies(implies(sK1,sK2),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3))),implies(implies(implies(implies(X2_16,implies(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))),X4_16)),implies(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))),implies(not(implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2)))),not(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)))))),implies(implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(sK1,sK3)),implies(not(implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))))),not(implies(sK1,sK2))))),implies(implies(sK1,sK2),implies(implies(implies(X2_14,implies(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))),X4_14)),implies(implies(sK1,sK3),implies(not(implies(not(implies(sK1,sK3)),not(implies(sK2,sK3)))),not(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))))))),implies(implies(implies(implies(X2_21,implies(implies(not(sK3),not(sK1)),X4_21)),implies(sK3,implies(not(implies(not(sK3),not(sK1))),not(sK2)))),implies(sK2,implies(not(sK3),not(sK1)))),implies(not(implies(sK1,sK3)),not(implies(sK2,sK3))))))))),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l18,l19,l3,l5,l4,l12,l16,l13,l20,l14,l21,l15,l17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL982+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 5 16:14:12 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % launching worker at depth: 2
% 0.03/0.30 % launching worker at depth: 1
% 0.03/0.30 % launching worker at depth: 7
% 0.03/0.30 % launching worker at depth: 4
% 0.03/0.30 % launching worker at depth: 5
% 0.03/0.30 % launching worker at depth: 6
% 0.03/0.30 % launching worker at depth: 8
% 0.03/0.30 % launching worker at depth: 3
% 0.03/0.30 % launching worker at depth: 9
% 0.03/0.30 % launching worker at depth: 10
% 0.03/0.30 % launching worker at depth: 11
% 0.03/0.31 % launching worker at depth: 12
% 0.03/0.31 % SZS status Theorem for theBenchmark
% 0.03/0.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------