%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV109+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 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 : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:02:43 AM UTC 2026
% Result : Theorem 135.71s 146.10s
% Output : Proof 135.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 1
% Syntax : Number of formulae : 137 ( 61 unt; 0 def)
% Number of atoms : 1090 ( 169 equ)
% Maximal formula atoms : 86 ( 7 avg)
% Number of connectives : 1430 ( 477 ~; 461 |; 467 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-3 aty)
% Number of variables : 243 ( 0 sgn 170 !; 65 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0002,conjecture,
( ( ! [I] :
( ( leq(I,minus(n6,n1))
& leq(n0,I) )
=> ! [J] :
( ( leq(J,minus(n6,n1))
& leq(n0,J) )
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ! [G,H] :
( ( leq(H,minus(n6,n1))
& leq(G,minus(n6,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [E,F] :
( ( leq(F,minus(n6,n1))
& leq(E,minus(n6,n1))
& leq(n0,F)
& leq(n0,E) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [C,D] :
( ( leq(D,minus(n3,n1))
& leq(C,minus(n3,n1))
& leq(n0,D)
& leq(n0,C) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [A,B] :
( ( leq(B,minus(n6,n1))
& leq(A,minus(n6,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) )
=> ( ! [S] :
( ( leq(S,minus(n6,n1))
& leq(n0,S) )
=> ! [T] :
( ( leq(T,minus(n6,n1))
& leq(n0,T) )
=> a_select3(id_ds1_filter,S,T) = a_select3(id_ds1_filter,T,S) ) )
& ! [Q,R] :
( ( leq(R,minus(n6,n1))
& leq(Q,minus(n6,n1))
& leq(n0,R)
& leq(n0,Q) )
=> a_select3(pminus_ds1_filter,Q,R) = a_select3(pminus_ds1_filter,R,Q) )
& ! [O,P] :
( ( leq(P,minus(n6,n1))
& leq(O,minus(n6,n1))
& leq(n0,P)
& leq(n0,O) )
=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) )
& ! [M,N] :
( ( leq(N,minus(n3,n1))
& leq(M,minus(n3,n1))
& leq(n0,N)
& leq(n0,M) )
=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) )
& ! [K,L] :
( ( leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) ) ),
file('theBenchmark.p',quaternion_ds1_symm_0002) ).
fof(f_53_1,negated_conjecture,
( ~ ( ! [S] :
( ( leq(S,minus(n6,n1))
& leq(n0,S) )
=> ! [T] :
( ( leq(T,minus(n6,n1))
& leq(n0,T) )
=> a_select3(id_ds1_filter,S,T) = a_select3(id_ds1_filter,T,S) ) )
& ! [Q,R] :
( ( leq(R,minus(n6,n1))
& leq(Q,minus(n6,n1))
& leq(n0,R)
& leq(n0,Q) )
=> a_select3(pminus_ds1_filter,Q,R) = a_select3(pminus_ds1_filter,R,Q) )
& ! [O,P] :
( ( leq(P,minus(n6,n1))
& leq(O,minus(n6,n1))
& leq(n0,P)
& leq(n0,O) )
=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) )
& ! [M,N] :
( ( leq(N,minus(n3,n1))
& leq(M,minus(n3,n1))
& leq(n0,N)
& leq(n0,M) )
=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) )
& ! [K,L] :
( ( leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5) )
& ! [I] :
( ( leq(I,minus(n6,n1))
& leq(n0,I) )
=> ! [J] :
( ( leq(J,minus(n6,n1))
& leq(n0,J) )
=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )
& ! [G,H] :
( ( leq(H,minus(n6,n1))
& leq(G,minus(n6,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [E,F] :
( ( leq(F,minus(n6,n1))
& leq(E,minus(n6,n1))
& leq(n0,F)
& leq(n0,E) )
=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) )
& ! [C,D] :
( ( leq(D,minus(n3,n1))
& leq(C,minus(n3,n1))
& leq(n0,D)
& leq(n0,C) )
=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) )
& ! [A,B] :
( ( leq(B,minus(n6,n1))
& leq(A,minus(n6,n1))
& leq(n0,B)
& leq(n0,A) )
=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(negate,[status(cth)],[quaternion_ds1_symm_0002]) ).
fof(f_53_2,negated_conjecture,
( ( ? [S] :
( ? [T] :
( a_select3(id_ds1_filter,S,T) != a_select3(id_ds1_filter,T,S)
& leq(T,minus(n6,n1))
& leq(n0,T) )
& leq(S,minus(n6,n1))
& leq(n0,S) )
| ? [Q,R] :
( a_select3(pminus_ds1_filter,Q,R) != a_select3(pminus_ds1_filter,R,Q)
& leq(R,minus(n6,n1))
& leq(Q,minus(n6,n1))
& leq(n0,R)
& leq(n0,Q) )
| ? [O,P] :
( a_select3(pminus_ds1_filter,O,P) != a_select3(pminus_ds1_filter,P,O)
& leq(P,minus(n6,n1))
& leq(O,minus(n6,n1))
& leq(n0,P)
& leq(n0,O) )
| ? [M,N] :
( a_select3(r_ds1_filter,M,N) != a_select3(r_ds1_filter,N,M)
& leq(N,minus(n3,n1))
& leq(M,minus(n3,n1))
& leq(n0,N)
& leq(n0,M) )
| ? [K,L] :
( a_select3(q_ds1_filter,K,L) != a_select3(q_ds1_filter,L,K)
& leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [I] :
( ! [J] :
( a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I)
| ~ leq(J,minus(n6,n1))
| ~ leq(n0,J) )
| ~ leq(I,minus(n6,n1))
| ~ leq(n0,I) )
& ! [G,H] :
( a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G)
| ~ leq(H,minus(n6,n1))
| ~ leq(G,minus(n6,n1))
| ~ leq(n0,H)
| ~ leq(n0,G) )
& ! [E,F] :
( a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E)
| ~ leq(F,minus(n6,n1))
| ~ leq(E,minus(n6,n1))
| ~ leq(n0,F)
| ~ leq(n0,E) )
& ! [C,D] :
( a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C)
| ~ leq(D,minus(n3,n1))
| ~ leq(C,minus(n3,n1))
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A)
| ~ leq(B,minus(n6,n1))
| ~ leq(A,minus(n6,n1))
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_197,U_196] :
( a_select3(pminus_ds1_filter,U_197,U_196) != a_select3(pminus_ds1_filter,U_196,U_197)
& leq(U_196,minus(n6,n1))
& leq(U_197,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,U_197) )
| ? [U_195,U_194] :
( a_select3(r_ds1_filter,U_195,U_194) != a_select3(r_ds1_filter,U_194,U_195)
& leq(U_194,minus(n3,n1))
& leq(U_195,minus(n3,n1))
& leq(n0,U_194)
& leq(n0,U_195) )
| ? [U_193,U_192] :
( a_select3(q_ds1_filter,U_193,U_192) != a_select3(q_ds1_filter,U_192,U_193)
& leq(U_192,minus(n6,n1))
& leq(U_193,minus(n6,n1))
& leq(n0,U_192)
& leq(n0,U_193) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_197,U_196] :
( a_select3(pminus_ds1_filter,U_197,U_196) != a_select3(pminus_ds1_filter,U_196,U_197)
& leq(U_196,minus(n6,n1))
& leq(U_197,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,U_197) )
| ? [U_195,U_194] :
( a_select3(r_ds1_filter,U_195,U_194) != a_select3(r_ds1_filter,U_194,U_195)
& leq(U_194,minus(n3,n1))
& leq(U_195,minus(n3,n1))
& leq(n0,U_194)
& leq(n0,U_195) )
| ? [U_192] :
( a_select3(q_ds1_filter,sK28,U_192) != a_select3(q_ds1_filter,U_192,sK28)
& leq(U_192,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,U_192)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_193,sK28)],[f_53_3]) ).
fof(f_53_5,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_197,U_196] :
( a_select3(pminus_ds1_filter,U_197,U_196) != a_select3(pminus_ds1_filter,U_196,U_197)
& leq(U_196,minus(n6,n1))
& leq(U_197,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,U_197) )
| ? [U_195,U_194] :
( a_select3(r_ds1_filter,U_195,U_194) != a_select3(r_ds1_filter,U_194,U_195)
& leq(U_194,minus(n3,n1))
& leq(U_195,minus(n3,n1))
& leq(n0,U_194)
& leq(n0,U_195) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_192,sK29)],[f_53_4]) ).
fof(f_53_6,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_197,U_196] :
( a_select3(pminus_ds1_filter,U_197,U_196) != a_select3(pminus_ds1_filter,U_196,U_197)
& leq(U_196,minus(n6,n1))
& leq(U_197,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,U_197) )
| ? [U_194] :
( a_select3(r_ds1_filter,sK30,U_194) != a_select3(r_ds1_filter,U_194,sK30)
& leq(U_194,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,U_194)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_195,sK30)],[f_53_5]) ).
fof(f_53_7,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_197,U_196] :
( a_select3(pminus_ds1_filter,U_197,U_196) != a_select3(pminus_ds1_filter,U_196,U_197)
& leq(U_196,minus(n6,n1))
& leq(U_197,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,U_197) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_194,sK31)],[f_53_6]) ).
fof(f_53_8,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ? [U_196] :
( a_select3(pminus_ds1_filter,sK32,U_196) != a_select3(pminus_ds1_filter,U_196,sK32)
& leq(U_196,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,U_196)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_197,sK32)],[f_53_7]) ).
fof(f_53_9,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_199,U_198] :
( a_select3(pminus_ds1_filter,U_199,U_198) != a_select3(pminus_ds1_filter,U_198,U_199)
& leq(U_198,minus(n6,n1))
& leq(U_199,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,U_199) )
| ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
& leq(sK33,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,sK33)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_196,sK33)],[f_53_8]) ).
fof(f_53_10,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ? [U_198] :
( a_select3(pminus_ds1_filter,sK34,U_198) != a_select3(pminus_ds1_filter,U_198,sK34)
& leq(U_198,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,U_198)
& leq(n0,sK34) )
| ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
& leq(sK33,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,sK33)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_199,sK34)],[f_53_9]) ).
fof(f_53_11,negated_conjecture,
( ( ? [U_201] :
( ? [U_200] :
( a_select3(id_ds1_filter,U_201,U_200) != a_select3(id_ds1_filter,U_200,U_201)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(U_201,minus(n6,n1))
& leq(n0,U_201) )
| ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
& leq(sK35,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,sK35)
& leq(n0,sK34) )
| ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
& leq(sK33,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,sK33)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_198,sK35)],[f_53_10]) ).
fof(f_53_12,negated_conjecture,
( ( ( ? [U_200] :
( a_select3(id_ds1_filter,sK36,U_200) != a_select3(id_ds1_filter,U_200,sK36)
& leq(U_200,minus(n6,n1))
& leq(n0,U_200) )
& leq(sK36,minus(n6,n1))
& leq(n0,sK36) )
| ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
& leq(sK35,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,sK35)
& leq(n0,sK34) )
| ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
& leq(sK33,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,sK33)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_201,sK36)],[f_53_11]) ).
fof(f_53_13,negated_conjecture,
( ( ( a_select3(id_ds1_filter,sK36,sK37) != a_select3(id_ds1_filter,sK37,sK36)
& leq(sK37,minus(n6,n1))
& leq(n0,sK37)
& leq(sK36,minus(n6,n1))
& leq(n0,sK36) )
| ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
& leq(sK35,minus(n6,n1))
& leq(sK34,minus(n6,n1))
& leq(n0,sK35)
& leq(n0,sK34) )
| ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
& leq(sK33,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,sK33)
& leq(n0,sK32) )
| ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
& leq(sK31,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,sK31)
& leq(n0,sK30) )
| ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
& leq(sK29,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,sK29)
& leq(n0,sK28) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_191] :
( ! [U_190] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190) )
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_189,U_188] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_187,U_186] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_200,sK37)],[f_53_12]) ).
fof(f_53_14,negated_conjecture,
( ( a_select3(id_ds1_filter,sK36,sK37) != a_select3(id_ds1_filter,sK37,sK36)
| ~ sP4 )
& ( leq(sK37,minus(n6,n1))
| ~ sP4 )
& ( leq(n0,sK37)
| ~ sP4 )
& ( leq(sK36,minus(n6,n1))
| ~ sP4 )
& ( leq(n0,sK36)
| ~ sP4 )
& ( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
| ~ sP3 )
& ( leq(sK35,minus(n6,n1))
| ~ sP3 )
& ( leq(sK34,minus(n6,n1))
| ~ sP3 )
& ( leq(n0,sK35)
| ~ sP3 )
& ( leq(n0,sK34)
| ~ sP3 )
& ( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
| ~ sP2 )
& ( leq(sK33,minus(n6,n1))
| ~ sP2 )
& ( leq(sK32,minus(n6,n1))
| ~ sP2 )
& ( leq(n0,sK33)
| ~ sP2 )
& ( leq(n0,sK32)
| ~ sP2 )
& ( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
| ~ sP1 )
& ( leq(sK31,minus(n3,n1))
| ~ sP1 )
& ( leq(sK30,minus(n3,n1))
| ~ sP1 )
& ( leq(n0,sK31)
| ~ sP1 )
& ( leq(n0,sK30)
| ~ sP1 )
& ( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
| ~ sP0 )
& ( leq(sK29,minus(n6,n1))
| ~ sP0 )
& ( leq(sK28,minus(n6,n1))
| ~ sP0 )
& ( leq(n0,sK29)
| ~ sP0 )
& ( leq(n0,sK28)
| ~ sP0 )
& ( sP4
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) )
& ! [U_190,U_191] :
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190)
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) )
& ! [U_188,U_189] :
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) )
& ! [U_186,U_187] :
( a_select3(pminus_ds1_filter,U_187,U_186) = a_select3(pminus_ds1_filter,U_186,U_187)
| ~ leq(U_186,minus(n6,n1))
| ~ leq(U_187,minus(n6,n1))
| ~ leq(n0,U_186)
| ~ leq(n0,U_187) )
& ! [U_185,U_184] :
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) )
& ! [U_183,U_182] :
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) )
& leq(pv47,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv47)
& leq(n0,pv5) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2,sP3,sP4])],[f_53_13]) ).
cnf(f_53_15,negated_conjecture,
leq(n0,pv5),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_17,negated_conjecture,
leq(pv5,minus(n999,n1)),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_19,negated_conjecture,
( a_select3(q_ds1_filter,U_183,U_182) = a_select3(q_ds1_filter,U_182,U_183)
| ~ leq(U_182,minus(n6,n1))
| ~ leq(U_183,minus(n6,n1))
| ~ leq(n0,U_182)
| ~ leq(n0,U_183) ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_20,negated_conjecture,
( a_select3(r_ds1_filter,U_185,U_184) = a_select3(r_ds1_filter,U_184,U_185)
| ~ leq(U_184,minus(n3,n1))
| ~ leq(U_185,minus(n3,n1))
| ~ leq(n0,U_184)
| ~ leq(n0,U_185) ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_22,negated_conjecture,
( a_select3(pminus_ds1_filter,U_189,U_188) = a_select3(pminus_ds1_filter,U_188,U_189)
| ~ leq(U_188,minus(n6,n1))
| ~ leq(U_189,minus(n6,n1))
| ~ leq(n0,U_188)
| ~ leq(n0,U_189) ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_23,negated_conjecture,
( a_select3(id_ds1_filter,U_191,U_190) = a_select3(id_ds1_filter,U_190,U_191)
| ~ leq(U_190,minus(n6,n1))
| ~ leq(n0,U_190)
| ~ leq(U_191,minus(n6,n1))
| ~ leq(n0,U_191) ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_24,negated_conjecture,
( sP4
| sP3
| sP2
| sP1
| sP0
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5) ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_25,negated_conjecture,
( leq(n0,sK28)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_26,negated_conjecture,
( leq(n0,sK29)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_27,negated_conjecture,
( leq(sK28,minus(n6,n1))
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_28,negated_conjecture,
( leq(sK29,minus(n6,n1))
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_29,negated_conjecture,
( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_30,negated_conjecture,
( leq(n0,sK30)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_31,negated_conjecture,
( leq(n0,sK31)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_32,negated_conjecture,
( leq(sK30,minus(n3,n1))
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_33,negated_conjecture,
( leq(sK31,minus(n3,n1))
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_34,negated_conjecture,
( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_35,negated_conjecture,
( leq(n0,sK32)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_36,negated_conjecture,
( leq(n0,sK33)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_37,negated_conjecture,
( leq(sK32,minus(n6,n1))
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_38,negated_conjecture,
( leq(sK33,minus(n6,n1))
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_39,negated_conjecture,
( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_40,negated_conjecture,
( leq(n0,sK34)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_41,negated_conjecture,
( leq(n0,sK35)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_42,negated_conjecture,
( leq(sK34,minus(n6,n1))
| ~ sP3 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_43,negated_conjecture,
( leq(sK35,minus(n6,n1))
| ~ sP3 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_44,negated_conjecture,
( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
| ~ sP3 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_45,negated_conjecture,
( leq(n0,sK36)
| ~ sP4 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_46,negated_conjecture,
( leq(sK36,minus(n6,n1))
| ~ sP4 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_47,negated_conjecture,
( leq(n0,sK37)
| ~ sP4 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_48,negated_conjecture,
( leq(sK37,minus(n6,n1))
| ~ sP4 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(f_53_49,negated_conjecture,
( a_select3(id_ds1_filter,sK36,sK37) != a_select3(id_ds1_filter,sK37,sK36)
| ~ sP4 ),
inference(clausify,[status(thm)],[f_53_14]) ).
cnf(t1,plain,
( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
| ~ sP0 ),
inference(start,[status(thm),parent(0:0)],[f_53_29]) ).
cnf(t2,plain,
( ~ leq(pv5,minus(n999,n1))
| sP4
| sP1
| sP2
| sP3
| ~ leq(n0,pv5)
| sP0 ),
inference(extension,[status(thm),parent(t1:1)],[f_53_24]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
leq(n0,pv5),
inference(extension,[status(thm),parent(t2:2)],[f_53_15]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( a_select3(pminus_ds1_filter,sK34,sK35) != a_select3(pminus_ds1_filter,sK35,sK34)
| ~ sP3 ),
inference(extension,[status(thm),parent(t2:3)],[f_53_44]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
( ~ leq(n0,sK35)
| ~ leq(sK34,minus(n6,n1))
| ~ leq(sK35,minus(n6,n1))
| ~ leq(n0,sK34)
| a_select3(pminus_ds1_filter,sK34,sK35) = a_select3(pminus_ds1_filter,sK35,sK34) ),
inference(extension,[status(thm),parent(t6:2)],[f_53_22]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ sP3
| leq(n0,sK34) ),
inference(extension,[status(thm),parent(t8:2)],[f_53_40]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t8:2]) ).
cnf(t12,plain,
$false,
inference(reduction,[status(thm),parent(t10:2)],[t10:2,t2:3]) ).
cnf(t13,plain,
( ~ sP3
| leq(sK35,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t8:3)],[f_53_43]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t8:3]) ).
cnf(t15,plain,
$false,
inference(reduction,[status(thm),parent(t13:2)],[t13:2,t2:3]) ).
cnf(t16,plain,
( ~ sP3
| leq(sK34,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t8:4)],[f_53_42]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t8:4]) ).
cnf(t18,plain,
$false,
inference(reduction,[status(thm),parent(t16:2)],[t16:2,t2:3]) ).
cnf(t19,plain,
( ~ sP3
| leq(n0,sK35) ),
inference(extension,[status(thm),parent(t8:5)],[f_53_41]) ).
cnf(t20,plain,
$false,
inference(connection,[status(thm),parent(t19:1)],[t19:1,t8:5]) ).
cnf(t21,plain,
$false,
inference(reduction,[status(thm),parent(t19:2)],[t19:2,t2:3]) ).
cnf(t22,plain,
( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
| ~ sP2 ),
inference(extension,[status(thm),parent(t2:4)],[f_53_39]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:4]) ).
cnf(t24,plain,
( ~ leq(n0,sK33)
| ~ leq(sK32,minus(n6,n1))
| ~ leq(sK33,minus(n6,n1))
| ~ leq(n0,sK32)
| a_select3(pminus_ds1_filter,sK32,sK33) = a_select3(pminus_ds1_filter,sK33,sK32) ),
inference(extension,[status(thm),parent(t22:2)],[f_53_22]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
( ~ sP2
| leq(n0,sK32) ),
inference(extension,[status(thm),parent(t24:2)],[f_53_35]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
$false,
inference(reduction,[status(thm),parent(t26:2)],[t26:2,t2:4]) ).
cnf(t29,plain,
( ~ sP2
| leq(sK33,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t24:3)],[f_53_38]) ).
cnf(t30,plain,
$false,
inference(connection,[status(thm),parent(t29:1)],[t29:1,t24:3]) ).
cnf(t31,plain,
$false,
inference(reduction,[status(thm),parent(t29:2)],[t29:2,t2:4]) ).
cnf(t32,plain,
( ~ sP2
| leq(sK32,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t24:4)],[f_53_37]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t24:4]) ).
cnf(t34,plain,
$false,
inference(reduction,[status(thm),parent(t32:2)],[t32:2,t2:4]) ).
cnf(t35,plain,
( ~ sP2
| leq(n0,sK33) ),
inference(extension,[status(thm),parent(t24:5)],[f_53_36]) ).
cnf(t36,plain,
$false,
inference(connection,[status(thm),parent(t35:1)],[t35:1,t24:5]) ).
cnf(t37,plain,
$false,
inference(reduction,[status(thm),parent(t35:2)],[t35:2,t2:4]) ).
cnf(t38,plain,
( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
| ~ sP1 ),
inference(extension,[status(thm),parent(t2:5)],[f_53_34]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:5]) ).
cnf(t40,plain,
( ~ leq(n0,sK31)
| ~ leq(sK30,minus(n3,n1))
| ~ leq(sK31,minus(n3,n1))
| ~ leq(n0,sK30)
| a_select3(r_ds1_filter,sK30,sK31) = a_select3(r_ds1_filter,sK31,sK30) ),
inference(extension,[status(thm),parent(t38:2)],[f_53_20]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ sP1
| leq(n0,sK30) ),
inference(extension,[status(thm),parent(t40:2)],[f_53_30]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t40:2]) ).
cnf(t44,plain,
$false,
inference(reduction,[status(thm),parent(t42:2)],[t42:2,t2:5]) ).
cnf(t45,plain,
( ~ sP1
| leq(sK31,minus(n3,n1)) ),
inference(extension,[status(thm),parent(t40:3)],[f_53_33]) ).
cnf(t46,plain,
$false,
inference(connection,[status(thm),parent(t45:1)],[t45:1,t40:3]) ).
cnf(t47,plain,
$false,
inference(reduction,[status(thm),parent(t45:2)],[t45:2,t2:5]) ).
cnf(t48,plain,
( ~ sP1
| leq(sK30,minus(n3,n1)) ),
inference(extension,[status(thm),parent(t40:4)],[f_53_32]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t40:4]) ).
cnf(t50,plain,
$false,
inference(reduction,[status(thm),parent(t48:2)],[t48:2,t2:5]) ).
cnf(t51,plain,
( ~ sP1
| leq(n0,sK31) ),
inference(extension,[status(thm),parent(t40:5)],[f_53_31]) ).
cnf(t52,plain,
$false,
inference(connection,[status(thm),parent(t51:1)],[t51:1,t40:5]) ).
cnf(t53,plain,
$false,
inference(reduction,[status(thm),parent(t51:2)],[t51:2,t2:5]) ).
cnf(t54,plain,
( a_select3(id_ds1_filter,sK36,sK37) != a_select3(id_ds1_filter,sK37,sK36)
| ~ sP4 ),
inference(extension,[status(thm),parent(t2:6)],[f_53_49]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t2:6]) ).
cnf(t56,plain,
( ~ leq(sK36,minus(n6,n1))
| ~ leq(n0,sK37)
| ~ leq(sK37,minus(n6,n1))
| ~ leq(n0,sK36)
| a_select3(id_ds1_filter,sK36,sK37) = a_select3(id_ds1_filter,sK37,sK36) ),
inference(extension,[status(thm),parent(t54:2)],[f_53_23]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t54:2]) ).
cnf(t58,plain,
( ~ sP4
| leq(n0,sK36) ),
inference(extension,[status(thm),parent(t56:2)],[f_53_45]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t56:2]) ).
cnf(t60,plain,
$false,
inference(reduction,[status(thm),parent(t58:2)],[t58:2,t2:6]) ).
cnf(t61,plain,
( ~ sP4
| leq(sK37,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t56:3)],[f_53_48]) ).
cnf(t62,plain,
$false,
inference(connection,[status(thm),parent(t61:1)],[t61:1,t56:3]) ).
cnf(t63,plain,
$false,
inference(reduction,[status(thm),parent(t61:2)],[t61:2,t2:6]) ).
cnf(t64,plain,
( ~ sP4
| leq(n0,sK37) ),
inference(extension,[status(thm),parent(t56:4)],[f_53_47]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t56:4]) ).
cnf(t66,plain,
$false,
inference(reduction,[status(thm),parent(t64:2)],[t64:2,t2:6]) ).
cnf(t67,plain,
( ~ sP4
| leq(sK36,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t56:5)],[f_53_46]) ).
cnf(t68,plain,
$false,
inference(connection,[status(thm),parent(t67:1)],[t67:1,t56:5]) ).
cnf(t69,plain,
$false,
inference(reduction,[status(thm),parent(t67:2)],[t67:2,t2:6]) ).
cnf(t70,plain,
leq(pv5,minus(n999,n1)),
inference(extension,[status(thm),parent(t2:7)],[f_53_17]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t2:7]) ).
cnf(l1,lemma,
sP0,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t72,plain,
( ~ leq(n0,sK29)
| ~ leq(sK28,minus(n6,n1))
| ~ leq(sK29,minus(n6,n1))
| ~ leq(n0,sK28)
| a_select3(q_ds1_filter,sK28,sK29) = a_select3(q_ds1_filter,sK29,sK28) ),
inference(extension,[status(thm),parent(t1:2)],[f_53_19]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t1:2]) ).
cnf(t74,plain,
( ~ sP0
| leq(n0,sK28) ),
inference(extension,[status(thm),parent(t72:2)],[f_53_25]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t72:2]) ).
cnf(t76,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t74:2)],[l1:1]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t74:2]) ).
cnf(t78,plain,
( ~ sP0
| leq(sK29,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t72:3)],[f_53_28]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t72:3]) ).
cnf(t80,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t78:2)],[l1:1]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t78:2]) ).
cnf(t82,plain,
( ~ sP0
| leq(sK28,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t72:4)],[f_53_27]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t72:4]) ).
cnf(t84,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t82:2)],[l1:1]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
( ~ sP0
| leq(n0,sK29) ),
inference(extension,[status(thm),parent(t72:5)],[f_53_26]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t72:5]) ).
cnf(t88,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t86:2)],[l1:1]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t86:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV109+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.39 % Computer : n018.cluster.edu
% 0.09/10.39 % Model : x86_64 x86_64
% 0.09/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.39 % Memory : 8046.5625MB
% 0.09/10.39 % OS : Linux 6.8.0-71-generic
% 0.09/10.39 % CPULimit : 300
% 0.09/10.39 % WCLimit : 300
% 0.09/10.39 % DateTime : Sun Sep 20 03:07:08 UTC 2026
% 0.09/10.39 % CPUTime :
% 135.71/146.10 % SZS status Theorem for theBenchmark
% 135.71/146.10 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------