%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWV122+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 09:02:44 AM UTC 2026
% Result : Theorem 136.54s 141.88s
% Output : Proof 136.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 84 ( 35 unt; 0 def)
% Number of atoms : 479 ( 78 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 606 ( 211 ~; 199 |; 183 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 111 ( 0 sgn 78 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(quaternion_ds1_symm_0015,conjecture,
( ( ! [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) ) )
=> ( ! [K,L] :
( ( leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) )
& ! [I,J] :
( ( leq(J,minus(n3,n1))
& leq(I,minus(n3,n1))
& leq(n0,J)
& leq(n0,I) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [G,H] :
( ( leq(H,minus(n6,n1))
& leq(G,minus(n6,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) ) ) ),
file('theBenchmark.p',quaternion_ds1_symm_0015) ).
fof(f_53_1,negated_conjecture,
( ~ ( ! [K,L] :
( ( leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) )
& ! [I,J] :
( ( leq(J,minus(n3,n1))
& leq(I,minus(n3,n1))
& leq(n0,J)
& leq(n0,I) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [G,H] :
( ( leq(H,minus(n6,n1))
& leq(G,minus(n6,n1))
& leq(n0,H)
& leq(n0,G) )
=> a_select3(q_ds1_filter,G,H) = a_select3(q_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) ) ),
inference(negate,[status(cth)],[quaternion_ds1_symm_0015]) ).
fof(f_53_2,negated_conjecture,
( ( ? [K,L] :
( a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K)
& leq(L,minus(n6,n1))
& leq(K,minus(n6,n1))
& leq(n0,L)
& leq(n0,K) )
| ? [I,J] :
( a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I)
& leq(J,minus(n3,n1))
& leq(I,minus(n3,n1))
& leq(n0,J)
& leq(n0,I) )
| ? [G,H] :
( a_select3(q_ds1_filter,G,H) != a_select3(q_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) ) ),
inference(fof_nnf,[status(thm)],[f_53_1]) ).
fof(f_53_3,negated_conjecture,
( ( ? [U_193,U_192] :
( a_select3(pminus_ds1_filter,U_193,U_192) != a_select3(pminus_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) )
| ? [U_191,U_190] :
( a_select3(r_ds1_filter,U_191,U_190) != a_select3(r_ds1_filter,U_190,U_191)
& leq(U_190,minus(n3,n1))
& leq(U_191,minus(n3,n1))
& leq(n0,U_190)
& leq(n0,U_191) )
| ? [U_189,U_188] :
( a_select3(q_ds1_filter,U_189,U_188) != a_select3(q_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) ) ),
inference(variable_rename,[status(thm)],[f_53_2]) ).
fof(f_53_4,negated_conjecture,
( ( ? [U_193,U_192] :
( a_select3(pminus_ds1_filter,U_193,U_192) != a_select3(pminus_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) )
| ? [U_191,U_190] :
( a_select3(r_ds1_filter,U_191,U_190) != a_select3(r_ds1_filter,U_190,U_191)
& leq(U_190,minus(n3,n1))
& leq(U_191,minus(n3,n1))
& leq(n0,U_190)
& leq(n0,U_191) )
| ? [U_188] :
( a_select3(q_ds1_filter,sK28,U_188) != a_select3(q_ds1_filter,U_188,sK28)
& leq(U_188,minus(n6,n1))
& leq(sK28,minus(n6,n1))
& leq(n0,U_188)
& leq(n0,sK28) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_189,sK28)],[f_53_3]) ).
fof(f_53_5,negated_conjecture,
( ( ? [U_193,U_192] :
( a_select3(pminus_ds1_filter,U_193,U_192) != a_select3(pminus_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) )
| ? [U_191,U_190] :
( a_select3(r_ds1_filter,U_191,U_190) != a_select3(r_ds1_filter,U_190,U_191)
& leq(U_190,minus(n3,n1))
& leq(U_191,minus(n3,n1))
& leq(n0,U_190)
& leq(n0,U_191) )
| ( 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) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_188,sK29)],[f_53_4]) ).
fof(f_53_6,negated_conjecture,
( ( ? [U_193,U_192] :
( a_select3(pminus_ds1_filter,U_193,U_192) != a_select3(pminus_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) )
| ? [U_190] :
( a_select3(r_ds1_filter,sK30,U_190) != a_select3(r_ds1_filter,U_190,sK30)
& leq(U_190,minus(n3,n1))
& leq(sK30,minus(n3,n1))
& leq(n0,U_190)
& 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) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_191,sK30)],[f_53_5]) ).
fof(f_53_7,negated_conjecture,
( ( ? [U_193,U_192] :
( a_select3(pminus_ds1_filter,U_193,U_192) != a_select3(pminus_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) )
| ( 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) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_190,sK31)],[f_53_6]) ).
fof(f_53_8,negated_conjecture,
( ( ? [U_192] :
( a_select3(pminus_ds1_filter,sK32,U_192) != a_select3(pminus_ds1_filter,U_192,sK32)
& leq(U_192,minus(n6,n1))
& leq(sK32,minus(n6,n1))
& leq(n0,U_192)
& 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) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_193,sK32)],[f_53_7]) ).
fof(f_53_9,negated_conjecture,
( ( ( 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) ) )
& ! [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) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_192,sK33)],[f_53_8]) ).
fof(f_53_10,negated_conjecture,
( ( 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 )
& ( sP2
| sP1
| sP0 )
& ! [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_184,U_185] :
( 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_182,U_183] :
( 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(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1,sP2])],[f_53_9]) ).
cnf(f_53_11,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_10]) ).
cnf(f_53_12,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_10]) ).
cnf(f_53_13,negated_conjecture,
( 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) ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_14,negated_conjecture,
( sP2
| sP1
| sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_15,negated_conjecture,
( leq(n0,sK28)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_16,negated_conjecture,
( leq(n0,sK29)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_17,negated_conjecture,
( leq(sK28,minus(n6,n1))
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_18,negated_conjecture,
( leq(sK29,minus(n6,n1))
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_19,negated_conjecture,
( a_select3(q_ds1_filter,sK28,sK29) != a_select3(q_ds1_filter,sK29,sK28)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_20,negated_conjecture,
( leq(n0,sK30)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_21,negated_conjecture,
( leq(n0,sK31)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_22,negated_conjecture,
( leq(sK30,minus(n3,n1))
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_23,negated_conjecture,
( leq(sK31,minus(n3,n1))
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_24,negated_conjecture,
( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_25,negated_conjecture,
( leq(n0,sK32)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_26,negated_conjecture,
( leq(n0,sK33)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_27,negated_conjecture,
( leq(sK32,minus(n6,n1))
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_28,negated_conjecture,
( leq(sK33,minus(n6,n1))
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_10]) ).
cnf(f_53_29,negated_conjecture,
( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
| ~ sP2 ),
inference(clausify,[status(thm)],[f_53_10]) ).
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_19]) ).
cnf(t2,plain,
( sP1
| sP2
| sP0 ),
inference(extension,[status(thm),parent(t1:1)],[f_53_14]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( a_select3(pminus_ds1_filter,sK32,sK33) != a_select3(pminus_ds1_filter,sK33,sK32)
| ~ sP2 ),
inference(extension,[status(thm),parent(t2:2)],[f_53_29]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,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(t4:2)],[f_53_13]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ sP2
| leq(n0,sK32) ),
inference(extension,[status(thm),parent(t6:2)],[f_53_25]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t8:2)],[t8:2,t2:2]) ).
cnf(t11,plain,
( ~ sP2
| leq(sK33,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t6:3)],[f_53_28]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t6:3]) ).
cnf(t13,plain,
$false,
inference(reduction,[status(thm),parent(t11:2)],[t11:2,t2:2]) ).
cnf(t14,plain,
( ~ sP2
| leq(sK32,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t6:4)],[f_53_27]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t6:4]) ).
cnf(t16,plain,
$false,
inference(reduction,[status(thm),parent(t14:2)],[t14:2,t2:2]) ).
cnf(t17,plain,
( ~ sP2
| leq(n0,sK33) ),
inference(extension,[status(thm),parent(t6:5)],[f_53_26]) ).
cnf(t18,plain,
$false,
inference(connection,[status(thm),parent(t17:1)],[t17:1,t6:5]) ).
cnf(t19,plain,
$false,
inference(reduction,[status(thm),parent(t17:2)],[t17:2,t2:2]) ).
cnf(t20,plain,
( a_select3(r_ds1_filter,sK30,sK31) != a_select3(r_ds1_filter,sK31,sK30)
| ~ sP1 ),
inference(extension,[status(thm),parent(t2:3)],[f_53_24]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:3]) ).
cnf(t22,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(t20:2)],[f_53_12]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( ~ sP1
| leq(n0,sK30) ),
inference(extension,[status(thm),parent(t22:2)],[f_53_20]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
$false,
inference(reduction,[status(thm),parent(t24:2)],[t24:2,t2:3]) ).
cnf(t27,plain,
( ~ sP1
| leq(sK31,minus(n3,n1)) ),
inference(extension,[status(thm),parent(t22:3)],[f_53_23]) ).
cnf(t28,plain,
$false,
inference(connection,[status(thm),parent(t27:1)],[t27:1,t22:3]) ).
cnf(t29,plain,
$false,
inference(reduction,[status(thm),parent(t27:2)],[t27:2,t2:3]) ).
cnf(t30,plain,
( ~ sP1
| leq(sK30,minus(n3,n1)) ),
inference(extension,[status(thm),parent(t22:4)],[f_53_22]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:4]) ).
cnf(t32,plain,
$false,
inference(reduction,[status(thm),parent(t30:2)],[t30:2,t2:3]) ).
cnf(t33,plain,
( ~ sP1
| leq(n0,sK31) ),
inference(extension,[status(thm),parent(t22:5)],[f_53_21]) ).
cnf(t34,plain,
$false,
inference(connection,[status(thm),parent(t33:1)],[t33:1,t22:5]) ).
cnf(t35,plain,
$false,
inference(reduction,[status(thm),parent(t33:2)],[t33:2,t2:3]) ).
cnf(l1,lemma,
sP0,
inference(lemma,[status(cth),parent(t1:1),below(0:0)],[t1:1]) ).
cnf(t36,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_11]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t1:2]) ).
cnf(t38,plain,
( ~ sP0
| leq(n0,sK28) ),
inference(extension,[status(thm),parent(t36:2)],[f_53_15]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t36:2]) ).
cnf(t40,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t38:2)],[l1:1]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
( ~ sP0
| leq(sK29,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t36:3)],[f_53_18]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t36:3]) ).
cnf(t44,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t42:2)],[l1:1]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t42:2]) ).
cnf(t46,plain,
( ~ sP0
| leq(sK28,minus(n6,n1)) ),
inference(extension,[status(thm),parent(t36:4)],[f_53_17]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t36:4]) ).
cnf(t48,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t46:2)],[l1:1]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t46:2]) ).
cnf(t50,plain,
( ~ sP0
| leq(n0,sK29) ),
inference(extension,[status(thm),parent(t36:5)],[f_53_16]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t36:5]) ).
cnf(t52,plain,
sP0,
inference(lemma_extension,[status(thm),parent(t50:2)],[l1:1]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t50:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV122+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/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n015.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 03:09:25 UTC 2026
% 0.09/5.39 % CPUTime :
% 136.54/141.88 % SZS status Theorem for theBenchmark
% 136.54/141.88 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------