%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 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 : n011.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 08:48:19 AM UTC 2026
% Result : Theorem 80.27s 80.69s
% Output : Proof 80.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 239 ( 171 unt; 0 def)
% Number of atoms : 768 ( 33 equ)
% Maximal formula atoms : 21 ( 3 avg)
% Number of connectives : 804 ( 275 ~; 250 |; 264 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 119 ( 8 sgn 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_waybel22,conjecture,
! [A,B] :
( ( l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( k1_card_1(C) = k1_card_1(A)
& r1_waybel22(B,C) )
=> r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))) ) ),
file('theBenchmark.p',t18_waybel22) ).
fof(cc1_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v1_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc1_lattice3) ).
fof(cc1_yellow_0,axiom,
! [A] :
( l1_orders_2(A)
=> ( ( v3_lattice3(A)
& ~ v3_struct_0(A) )
=> ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) ) ) ),
file('theBenchmark.p',cc1_yellow_0) ).
fof(cc2_lattice3,axiom,
! [A] :
( l1_orders_2(A)
=> ( v2_lattice3(A)
=> ~ v3_struct_0(A) ) ),
file('theBenchmark.p',cc2_lattice3) ).
fof(dt_k2_yellow_1,axiom,
! [A] :
( l1_orders_2(k2_yellow_1(A))
& v1_orders_2(k2_yellow_1(A)) ),
file('theBenchmark.p',dt_k2_yellow_1) ).
fof(dt_k3_yellow_1,axiom,
! [A] :
( l1_orders_2(k3_yellow_1(A))
& v1_orders_2(k3_yellow_1(A)) ),
file('theBenchmark.p',dt_k3_yellow_1) ).
fof(fc14_waybel_8,axiom,
! [A] :
( v2_waybel_8(k3_yellow_1(A))
& v1_waybel_8(k3_yellow_1(A))
& v3_waybel_3(k3_yellow_1(A))
& v2_waybel_3(k3_yellow_1(A))
& v11_waybel_1(k3_yellow_1(A))
& v10_waybel_1(k3_yellow_1(A))
& v9_waybel_1(k3_yellow_1(A))
& v2_waybel_1(k3_yellow_1(A))
& v25_waybel_0(k3_yellow_1(A))
& v24_waybel_0(k3_yellow_1(A))
& v3_yellow_0(k3_yellow_1(A))
& v2_yellow_0(k3_yellow_1(A))
& v1_yellow_0(k3_yellow_1(A))
& v3_lattice3(k3_yellow_1(A))
& v2_lattice3(k3_yellow_1(A))
& v1_lattice3(k3_yellow_1(A))
& v4_orders_2(k3_yellow_1(A))
& v3_orders_2(k3_yellow_1(A))
& v2_orders_2(k3_yellow_1(A))
& v1_orders_2(k3_yellow_1(A))
& ~ v3_struct_0(k3_yellow_1(A)) ),
file('theBenchmark.p',fc14_waybel_8) ).
fof(fc1_waybel22,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_lattice3(A)
& v2_yellow_0(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A)
& ~ v3_struct_0(A) )
=> ( v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A))) ) ),
file('theBenchmark.p',fc1_waybel22) ).
fof(fc2_waybel16,axiom,
! [A] :
( ( l1_orders_2(A)
& v2_yellow_0(A)
& v2_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A))) ) ),
file('theBenchmark.p',fc2_waybel16) ).
fof(t10_waybel22,axiom,
! [A] : k1_card_1(k1_waybel22(A)) = k1_card_1(A),
file('theBenchmark.p',t10_waybel22) ).
fof(t16_waybel22,axiom,
! [A] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),k1_waybel22(A)),
file('theBenchmark.p',t16_waybel22) ).
fof(t17_waybel22,axiom,
! [A] :
( ( l1_orders_2(A)
& v3_waybel_3(A)
& v3_lattice3(A)
& v2_lattice3(A)
& v1_lattice3(A)
& v4_orders_2(A)
& v3_orders_2(A)
& v2_orders_2(A) )
=> ! [B] :
( ( l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C,D] :
( ( k1_card_1(C) = k1_card_1(D)
& r1_waybel22(B,D)
& r1_waybel22(A,C) )
=> r5_waybel_1(A,B) ) ) ),
file('theBenchmark.p',t17_waybel22) ).
fof(f_1_1,negated_conjecture,
~ ! [A,B] :
( ( l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) )
=> ! [C] :
( ( k1_card_1(C) = k1_card_1(A)
& r1_waybel22(B,C) )
=> r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A)))) ) ),
inference(negate,[status(cth)],[t18_waybel22]) ).
fof(f_1_2,negated_conjecture,
? [A,B] :
( ? [C] :
( ~ r5_waybel_1(B,k2_yellow_1(k9_waybel_0(k3_yellow_1(A))))
& k1_card_1(C) = k1_card_1(A)
& r1_waybel22(B,C) )
& l1_orders_2(B)
& v3_waybel_3(B)
& v3_lattice3(B)
& v2_lattice3(B)
& v1_lattice3(B)
& v4_orders_2(B)
& v3_orders_2(B)
& v2_orders_2(B) ),
inference(fof_nnf,[status(thm)],[f_1_1]) ).
fof(f_1_3,negated_conjecture,
? [U_2,U_1] :
( ? [U_0] :
( ~ r5_waybel_1(U_1,k2_yellow_1(k9_waybel_0(k3_yellow_1(U_2))))
& k1_card_1(U_0) = k1_card_1(U_2)
& r1_waybel22(U_1,U_0) )
& l1_orders_2(U_1)
& v3_waybel_3(U_1)
& v3_lattice3(U_1)
& v2_lattice3(U_1)
& v1_lattice3(U_1)
& v4_orders_2(U_1)
& v3_orders_2(U_1)
& v2_orders_2(U_1) ),
inference(variable_rename,[status(thm)],[f_1_2]) ).
fof(f_1_4,negated_conjecture,
? [U_2,U_1] :
( ? [U_0] :
( k1_card_1(U_0) = k1_card_1(U_2)
& r1_waybel22(U_1,U_0) )
& ~ r5_waybel_1(U_1,k2_yellow_1(k9_waybel_0(k3_yellow_1(U_2))))
& l1_orders_2(U_1)
& v3_waybel_3(U_1)
& v3_lattice3(U_1)
& v2_lattice3(U_1)
& v1_lattice3(U_1)
& v4_orders_2(U_1)
& v3_orders_2(U_1)
& v2_orders_2(U_1) ),
inference(miniscope,[status(thm)],[f_1_3]) ).
fof(f_1_5,negated_conjecture,
? [U_1] :
( ? [U_0] :
( k1_card_1(U_0) = k1_card_1(sK1)
& r1_waybel22(U_1,U_0) )
& ~ r5_waybel_1(U_1,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
& l1_orders_2(U_1)
& v3_waybel_3(U_1)
& v3_lattice3(U_1)
& v2_lattice3(U_1)
& v1_lattice3(U_1)
& v4_orders_2(U_1)
& v3_orders_2(U_1)
& v2_orders_2(U_1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_2,sK1)],[f_1_4]) ).
fof(f_1_6,negated_conjecture,
( ? [U_0] :
( k1_card_1(U_0) = k1_card_1(sK1)
& r1_waybel22(sK2,U_0) )
& ~ r5_waybel_1(sK2,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
& l1_orders_2(sK2)
& v3_waybel_3(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_1,sK2)],[f_1_5]) ).
fof(f_1_7,negated_conjecture,
( k1_card_1(sK3) = k1_card_1(sK1)
& r1_waybel22(sK2,sK3)
& ~ r5_waybel_1(sK2,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
& l1_orders_2(sK2)
& v3_waybel_3(sK2)
& v3_lattice3(sK2)
& v2_lattice3(sK2)
& v1_lattice3(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_0,sK3)],[f_1_6]) ).
cnf(f_1_8,negated_conjecture,
v2_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_9,negated_conjecture,
v3_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_10,negated_conjecture,
v4_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_11,negated_conjecture,
v1_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_13,negated_conjecture,
v3_lattice3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_14,negated_conjecture,
v3_waybel_3(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_15,negated_conjecture,
l1_orders_2(sK2),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_16,negated_conjecture,
~ r5_waybel_1(sK2,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_17,negated_conjecture,
r1_waybel22(sK2,sK3),
inference(clausify,[status(thm)],[f_1_7]) ).
cnf(f_1_18,negated_conjecture,
k1_card_1(sK3) = k1_card_1(sK1),
inference(clausify,[status(thm)],[f_1_7]) ).
fof(f_10_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v1_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_lattice3]) ).
fof(f_10_2,plain,
! [U_12] :
( ~ v3_struct_0(U_12)
| ~ v1_lattice3(U_12)
| ~ l1_orders_2(U_12) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
cnf(f_10_3,plain,
( ~ v3_struct_0(U_12)
| ~ v1_lattice3(U_12)
| ~ l1_orders_2(U_12) ),
inference(clausify,[status(thm)],[f_10_2]) ).
fof(f_15_1,plain,
! [A] :
( ( v2_lattice3(A)
& v1_lattice3(A)
& ~ v3_struct_0(A) )
| ~ v3_lattice3(A)
| v3_struct_0(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc1_yellow_0]) ).
fof(f_15_2,plain,
! [U_21] :
( ( v2_lattice3(U_21)
& v1_lattice3(U_21)
& ~ v3_struct_0(U_21) )
| ~ v3_lattice3(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
cnf(f_15_4,plain,
( v1_lattice3(U_21)
| ~ v3_lattice3(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ),
inference(clausify,[status(thm)],[f_15_2]) ).
cnf(f_15_5,plain,
( v2_lattice3(U_21)
| ~ v3_lattice3(U_21)
| v3_struct_0(U_21)
| ~ l1_orders_2(U_21) ),
inference(clausify,[status(thm)],[f_15_2]) ).
fof(f_18_1,plain,
! [A] :
( ~ v3_struct_0(A)
| ~ v2_lattice3(A)
| ~ l1_orders_2(A) ),
inference(fof_nnf,[status(thm)],[cc2_lattice3]) ).
fof(f_18_2,plain,
! [U_24] :
( ~ v3_struct_0(U_24)
| ~ v2_lattice3(U_24)
| ~ l1_orders_2(U_24) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
cnf(f_18_3,plain,
( ~ v3_struct_0(U_24)
| ~ v2_lattice3(U_24)
| ~ l1_orders_2(U_24) ),
inference(clausify,[status(thm)],[f_18_2]) ).
fof(f_41_1,plain,
! [A] :
( l1_orders_2(k2_yellow_1(A))
& v1_orders_2(k2_yellow_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k2_yellow_1]) ).
fof(f_41_2,plain,
! [U_47] :
( l1_orders_2(k2_yellow_1(U_47))
& v1_orders_2(k2_yellow_1(U_47)) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_49] : l1_orders_2(k2_yellow_1(U_49))
& ! [U_48] : v1_orders_2(k2_yellow_1(U_48)) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_5,plain,
l1_orders_2(k2_yellow_1(U_49)),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_43_1,plain,
! [A] :
( l1_orders_2(k3_yellow_1(A))
& v1_orders_2(k3_yellow_1(A)) ),
inference(fof_nnf,[status(thm)],[dt_k3_yellow_1]) ).
fof(f_43_2,plain,
! [U_50] :
( l1_orders_2(k3_yellow_1(U_50))
& v1_orders_2(k3_yellow_1(U_50)) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_52] : l1_orders_2(k3_yellow_1(U_52))
& ! [U_51] : v1_orders_2(k3_yellow_1(U_51)) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
cnf(f_43_5,plain,
l1_orders_2(k3_yellow_1(U_52)),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_65_1,plain,
! [A] :
( v2_waybel_8(k3_yellow_1(A))
& v1_waybel_8(k3_yellow_1(A))
& v3_waybel_3(k3_yellow_1(A))
& v2_waybel_3(k3_yellow_1(A))
& v11_waybel_1(k3_yellow_1(A))
& v10_waybel_1(k3_yellow_1(A))
& v9_waybel_1(k3_yellow_1(A))
& v2_waybel_1(k3_yellow_1(A))
& v25_waybel_0(k3_yellow_1(A))
& v24_waybel_0(k3_yellow_1(A))
& v3_yellow_0(k3_yellow_1(A))
& v2_yellow_0(k3_yellow_1(A))
& v1_yellow_0(k3_yellow_1(A))
& v3_lattice3(k3_yellow_1(A))
& v2_lattice3(k3_yellow_1(A))
& v1_lattice3(k3_yellow_1(A))
& v4_orders_2(k3_yellow_1(A))
& v3_orders_2(k3_yellow_1(A))
& v2_orders_2(k3_yellow_1(A))
& v1_orders_2(k3_yellow_1(A))
& ~ v3_struct_0(k3_yellow_1(A)) ),
inference(fof_nnf,[status(thm)],[fc14_waybel_8]) ).
fof(f_65_2,plain,
! [U_81] :
( v2_waybel_8(k3_yellow_1(U_81))
& v1_waybel_8(k3_yellow_1(U_81))
& v3_waybel_3(k3_yellow_1(U_81))
& v2_waybel_3(k3_yellow_1(U_81))
& v11_waybel_1(k3_yellow_1(U_81))
& v10_waybel_1(k3_yellow_1(U_81))
& v9_waybel_1(k3_yellow_1(U_81))
& v2_waybel_1(k3_yellow_1(U_81))
& v25_waybel_0(k3_yellow_1(U_81))
& v24_waybel_0(k3_yellow_1(U_81))
& v3_yellow_0(k3_yellow_1(U_81))
& v2_yellow_0(k3_yellow_1(U_81))
& v1_yellow_0(k3_yellow_1(U_81))
& v3_lattice3(k3_yellow_1(U_81))
& v2_lattice3(k3_yellow_1(U_81))
& v1_lattice3(k3_yellow_1(U_81))
& v4_orders_2(k3_yellow_1(U_81))
& v3_orders_2(k3_yellow_1(U_81))
& v2_orders_2(k3_yellow_1(U_81))
& v1_orders_2(k3_yellow_1(U_81))
& ~ v3_struct_0(k3_yellow_1(U_81)) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_102] : v2_waybel_8(k3_yellow_1(U_102))
& ! [U_101] : v1_waybel_8(k3_yellow_1(U_101))
& ! [U_100] : v3_waybel_3(k3_yellow_1(U_100))
& ! [U_99] : v2_waybel_3(k3_yellow_1(U_99))
& ! [U_98] : v11_waybel_1(k3_yellow_1(U_98))
& ! [U_97] : v10_waybel_1(k3_yellow_1(U_97))
& ! [U_96] : v9_waybel_1(k3_yellow_1(U_96))
& ! [U_95] : v2_waybel_1(k3_yellow_1(U_95))
& ! [U_94] : v25_waybel_0(k3_yellow_1(U_94))
& ! [U_93] : v24_waybel_0(k3_yellow_1(U_93))
& ! [U_92] : v3_yellow_0(k3_yellow_1(U_92))
& ! [U_91] : v2_yellow_0(k3_yellow_1(U_91))
& ! [U_90] : v1_yellow_0(k3_yellow_1(U_90))
& ! [U_89] : v3_lattice3(k3_yellow_1(U_89))
& ! [U_88] : v2_lattice3(k3_yellow_1(U_88))
& ! [U_87] : v1_lattice3(k3_yellow_1(U_87))
& ! [U_86] : v4_orders_2(k3_yellow_1(U_86))
& ! [U_85] : v3_orders_2(k3_yellow_1(U_85))
& ! [U_84] : v2_orders_2(k3_yellow_1(U_84))
& ! [U_83] : v1_orders_2(k3_yellow_1(U_83))
& ! [U_82] : ~ v3_struct_0(k3_yellow_1(U_82)) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
cnf(f_65_4,plain,
~ v3_struct_0(k3_yellow_1(U_82)),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_6,plain,
v2_orders_2(k3_yellow_1(U_84)),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_7,plain,
v3_orders_2(k3_yellow_1(U_85)),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_8,plain,
v4_orders_2(k3_yellow_1(U_86)),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_10,plain,
v2_lattice3(k3_yellow_1(U_88)),
inference(clausify,[status(thm)],[f_65_3]) ).
cnf(f_65_13,plain,
v2_yellow_0(k3_yellow_1(U_91)),
inference(clausify,[status(thm)],[f_65_3]) ).
fof(f_70_1,plain,
! [A] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A))) )
| ~ l1_orders_2(A)
| ~ v2_lattice3(A)
| ~ v2_yellow_0(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[fc1_waybel22]) ).
fof(f_70_2,plain,
! [U_108] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(U_108)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(U_108)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(U_108)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(U_108)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(U_108)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(U_108)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(U_108)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(U_108)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(U_108)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(U_108)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(U_108)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(U_108)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(U_108)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(U_108))) )
| ~ l1_orders_2(U_108)
| ~ v2_lattice3(U_108)
| ~ v2_yellow_0(U_108)
| ~ v4_orders_2(U_108)
| ~ v3_orders_2(U_108)
| ~ v2_orders_2(U_108)
| v3_struct_0(U_108) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
cnf(f_70_13,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(U_108)))
| ~ l1_orders_2(U_108)
| ~ v2_lattice3(U_108)
| ~ v2_yellow_0(U_108)
| ~ v4_orders_2(U_108)
| ~ v3_orders_2(U_108)
| ~ v2_orders_2(U_108)
| v3_struct_0(U_108) ),
inference(clausify,[status(thm)],[f_70_2]) ).
cnf(f_70_16,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(U_108)))
| ~ l1_orders_2(U_108)
| ~ v2_lattice3(U_108)
| ~ v2_yellow_0(U_108)
| ~ v4_orders_2(U_108)
| ~ v3_orders_2(U_108)
| ~ v2_orders_2(U_108)
| v3_struct_0(U_108) ),
inference(clausify,[status(thm)],[f_70_2]) ).
fof(f_75_1,plain,
! [A] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(A)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(A)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(A)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(A)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(A)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(A))) )
| ~ l1_orders_2(A)
| ~ v2_yellow_0(A)
| ~ v2_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[fc2_waybel16]) ).
fof(f_75_2,plain,
! [U_113] :
( ( v25_waybel_0(k2_yellow_1(k9_waybel_0(U_113)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(U_113)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(U_113)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(U_113)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(U_113)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(U_113))) )
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
cnf(f_75_5,plain,
( v2_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_6,plain,
( v3_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_7,plain,
( v4_orders_2(k2_yellow_1(k9_waybel_0(U_113)))
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_8,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(U_113)))
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(clausify,[status(thm)],[f_75_2]) ).
cnf(f_75_9,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(U_113)))
| ~ l1_orders_2(U_113)
| ~ v2_yellow_0(U_113)
| ~ v2_lattice3(U_113)
| ~ v4_orders_2(U_113)
| ~ v3_orders_2(U_113)
| ~ v2_orders_2(U_113) ),
inference(clausify,[status(thm)],[f_75_2]) ).
fof(f_110_1,plain,
! [A] : k1_card_1(k1_waybel22(A)) = k1_card_1(A),
inference(fof_nnf,[status(thm)],[t10_waybel22]) ).
fof(f_110_2,plain,
! [U_180] : k1_card_1(k1_waybel22(U_180)) = k1_card_1(U_180),
inference(variable_rename,[status(thm)],[f_110_1]) ).
cnf(f_110_3,plain,
k1_card_1(k1_waybel22(U_180)) = k1_card_1(U_180),
inference(clausify,[status(thm)],[f_110_2]) ).
fof(f_111_1,plain,
! [A] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(A))),k1_waybel22(A)),
inference(fof_nnf,[status(thm)],[t16_waybel22]) ).
fof(f_111_2,plain,
! [U_181] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(U_181))),k1_waybel22(U_181)),
inference(variable_rename,[status(thm)],[f_111_1]) ).
cnf(f_111_3,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(U_181))),k1_waybel22(U_181)),
inference(clausify,[status(thm)],[f_111_2]) ).
fof(f_112_1,plain,
! [A] :
( ! [B] :
( ! [C,D] :
( r5_waybel_1(A,B)
| k1_card_1(C) != k1_card_1(D)
| ~ r1_waybel22(B,D)
| ~ r1_waybel22(A,C) )
| ~ l1_orders_2(B)
| ~ v3_waybel_3(B)
| ~ v3_lattice3(B)
| ~ v2_lattice3(B)
| ~ v1_lattice3(B)
| ~ v4_orders_2(B)
| ~ v3_orders_2(B)
| ~ v2_orders_2(B) )
| ~ l1_orders_2(A)
| ~ v3_waybel_3(A)
| ~ v3_lattice3(A)
| ~ v2_lattice3(A)
| ~ v1_lattice3(A)
| ~ v4_orders_2(A)
| ~ v3_orders_2(A)
| ~ v2_orders_2(A) ),
inference(fof_nnf,[status(thm)],[t17_waybel22]) ).
fof(f_112_2,plain,
! [U_185] :
( ! [U_184] :
( ! [U_183,U_182] :
( r5_waybel_1(U_185,U_184)
| k1_card_1(U_183) != k1_card_1(U_182)
| ~ r1_waybel22(U_184,U_182)
| ~ r1_waybel22(U_185,U_183) )
| ~ l1_orders_2(U_184)
| ~ v3_waybel_3(U_184)
| ~ v3_lattice3(U_184)
| ~ v2_lattice3(U_184)
| ~ v1_lattice3(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184) )
| ~ l1_orders_2(U_185)
| ~ v3_waybel_3(U_185)
| ~ v3_lattice3(U_185)
| ~ v2_lattice3(U_185)
| ~ v1_lattice3(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
! [U_185] :
( ! [U_184] :
( ! [U_183] :
( ! [U_182] :
( k1_card_1(U_183) != k1_card_1(U_182)
| ~ r1_waybel22(U_184,U_182) )
| ~ r1_waybel22(U_185,U_183) )
| r5_waybel_1(U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v3_waybel_3(U_184)
| ~ v3_lattice3(U_184)
| ~ v2_lattice3(U_184)
| ~ v1_lattice3(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184) )
| ~ l1_orders_2(U_185)
| ~ v3_waybel_3(U_185)
| ~ v3_lattice3(U_185)
| ~ v2_lattice3(U_185)
| ~ v1_lattice3(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185) ),
inference(miniscope,[status(thm)],[f_112_2]) ).
cnf(f_112_4,plain,
( k1_card_1(U_183) != k1_card_1(U_182)
| ~ r1_waybel22(U_184,U_182)
| ~ r1_waybel22(U_185,U_183)
| r5_waybel_1(U_185,U_184)
| ~ l1_orders_2(U_184)
| ~ v3_waybel_3(U_184)
| ~ v3_lattice3(U_184)
| ~ v2_lattice3(U_184)
| ~ v1_lattice3(U_184)
| ~ v4_orders_2(U_184)
| ~ v3_orders_2(U_184)
| ~ v2_orders_2(U_184)
| ~ l1_orders_2(U_185)
| ~ v3_waybel_3(U_185)
| ~ v3_lattice3(U_185)
| ~ v2_lattice3(U_185)
| ~ v1_lattice3(U_185)
| ~ v4_orders_2(U_185)
| ~ v3_orders_2(U_185)
| ~ v2_orders_2(U_185) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_3,axiom,
( Eq_x_0 = Eq_x_2
| Eq_x_1 != Eq_x_2
| Eq_x_0 != Eq_x_1 ),
theory(equality,[transitivity]) ).
cnf(t1,plain,
~ r5_waybel_1(sK2,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))),
inference(start,[status(thm),parent(0:0)],[f_1_16]) ).
cnf(t2,plain,
( ~ v3_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(sK2)
| ~ v2_lattice3(sK2)
| ~ v3_lattice3(sK2)
| ~ v3_waybel_3(sK2)
| ~ l1_orders_2(sK2)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))))
| k1_card_1(sK3) != k1_card_1(k1_waybel22(sK1))
| ~ r1_waybel22(sK2,sK3)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))),k1_waybel22(sK1))
| ~ v2_orders_2(sK2)
| r5_waybel_1(sK2,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t1:1)],[f_112_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
v2_orders_2(sK2),
inference(extension,[status(thm),parent(t2:2)],[f_1_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1))),k1_waybel22(sK1)),
inference(extension,[status(thm),parent(t2:3)],[f_111_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
r1_waybel22(sK2,sK3),
inference(extension,[status(thm),parent(t2:4)],[f_1_17]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t2:4]) ).
cnf(t10,plain,
( k1_card_1(k1_waybel22(sK1)) != k1_card_1(sK3)
| k1_card_1(sK3) = k1_card_1(k1_waybel22(sK1)) ),
inference(extension,[status(thm),parent(t2:5)],[equality_2]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:5]) ).
cnf(t12,plain,
( k1_card_1(sK1) != k1_card_1(sK3)
| k1_card_1(k1_waybel22(sK1)) != k1_card_1(sK1)
| k1_card_1(k1_waybel22(sK1)) = k1_card_1(sK3) ),
inference(extension,[status(thm),parent(t10:2)],[equality_3]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
k1_card_1(k1_waybel22(sK1)) = k1_card_1(sK1),
inference(extension,[status(thm),parent(t12:2)],[f_110_3]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t12:2]) ).
cnf(t16,plain,
( k1_card_1(sK3) != k1_card_1(sK1)
| k1_card_1(sK1) = k1_card_1(sK3) ),
inference(extension,[status(thm),parent(t12:3)],[equality_2]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t12:3]) ).
cnf(t18,plain,
k1_card_1(sK3) = k1_card_1(sK1),
inference(extension,[status(thm),parent(t16:2)],[f_1_18]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))),
inference(extension,[status(thm),parent(t2:6)],[f_41_5]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t2:6]) ).
cnf(t22,plain,
( ~ v2_orders_2(k3_yellow_1(sK1))
| ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| v3_struct_0(k3_yellow_1(sK1))
| v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:7)],[f_70_16]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t2:7]) ).
cnf(t24,plain,
~ v3_struct_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:2)],[f_65_4]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t22:2]) ).
cnf(t26,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:3)],[f_43_5]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t22:3]) ).
cnf(t28,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:4)],[f_65_10]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t22:4]) ).
cnf(t30,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:5)],[f_65_13]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t22:5]) ).
cnf(t32,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:6)],[f_65_8]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t22:6]) ).
cnf(t34,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:7)],[f_65_7]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t22:7]) ).
cnf(t36,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t22:8)],[f_65_6]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t22:8]) ).
cnf(t38,plain,
( ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| ~ v2_orders_2(k3_yellow_1(sK1))
| v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:8)],[f_75_9]) ).
cnf(t39,plain,
$false,
inference(connection,[status(thm),parent(t38:1)],[t38:1,t2:8]) ).
cnf(t40,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:2)],[f_65_6]) ).
cnf(t41,plain,
$false,
inference(connection,[status(thm),parent(t40:1)],[t40:1,t38:2]) ).
cnf(t42,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:3)],[f_43_5]) ).
cnf(t43,plain,
$false,
inference(connection,[status(thm),parent(t42:1)],[t42:1,t38:3]) ).
cnf(t44,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:4)],[f_65_13]) ).
cnf(t45,plain,
$false,
inference(connection,[status(thm),parent(t44:1)],[t44:1,t38:4]) ).
cnf(t46,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:5)],[f_65_10]) ).
cnf(t47,plain,
$false,
inference(connection,[status(thm),parent(t46:1)],[t46:1,t38:5]) ).
cnf(t48,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:6)],[f_65_8]) ).
cnf(t49,plain,
$false,
inference(connection,[status(thm),parent(t48:1)],[t48:1,t38:6]) ).
cnf(t50,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t38:7)],[f_65_7]) ).
cnf(t51,plain,
$false,
inference(connection,[status(thm),parent(t50:1)],[t50:1,t38:7]) ).
cnf(t52,plain,
( ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| ~ v2_orders_2(k3_yellow_1(sK1))
| v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:9)],[f_75_8]) ).
cnf(t53,plain,
$false,
inference(connection,[status(thm),parent(t52:1)],[t52:1,t2:9]) ).
cnf(t54,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:2)],[f_65_6]) ).
cnf(t55,plain,
$false,
inference(connection,[status(thm),parent(t54:1)],[t54:1,t52:2]) ).
cnf(t56,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:3)],[f_43_5]) ).
cnf(t57,plain,
$false,
inference(connection,[status(thm),parent(t56:1)],[t56:1,t52:3]) ).
cnf(t58,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:4)],[f_65_13]) ).
cnf(t59,plain,
$false,
inference(connection,[status(thm),parent(t58:1)],[t58:1,t52:4]) ).
cnf(t60,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:5)],[f_65_10]) ).
cnf(t61,plain,
$false,
inference(connection,[status(thm),parent(t60:1)],[t60:1,t52:5]) ).
cnf(t62,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:6)],[f_65_8]) ).
cnf(t63,plain,
$false,
inference(connection,[status(thm),parent(t62:1)],[t62:1,t52:6]) ).
cnf(t64,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t52:7)],[f_65_7]) ).
cnf(t65,plain,
$false,
inference(connection,[status(thm),parent(t64:1)],[t64:1,t52:7]) ).
cnf(t66,plain,
( ~ v2_orders_2(k3_yellow_1(sK1))
| ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| v3_struct_0(k3_yellow_1(sK1))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:10)],[f_70_13]) ).
cnf(t67,plain,
$false,
inference(connection,[status(thm),parent(t66:1)],[t66:1,t2:10]) ).
cnf(t68,plain,
~ v3_struct_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:2)],[f_65_4]) ).
cnf(t69,plain,
$false,
inference(connection,[status(thm),parent(t68:1)],[t68:1,t66:2]) ).
cnf(t70,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:3)],[f_43_5]) ).
cnf(t71,plain,
$false,
inference(connection,[status(thm),parent(t70:1)],[t70:1,t66:3]) ).
cnf(t72,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:4)],[f_65_10]) ).
cnf(t73,plain,
$false,
inference(connection,[status(thm),parent(t72:1)],[t72:1,t66:4]) ).
cnf(t74,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:5)],[f_65_13]) ).
cnf(t75,plain,
$false,
inference(connection,[status(thm),parent(t74:1)],[t74:1,t66:5]) ).
cnf(t76,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:6)],[f_65_8]) ).
cnf(t77,plain,
$false,
inference(connection,[status(thm),parent(t76:1)],[t76:1,t66:6]) ).
cnf(t78,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:7)],[f_65_7]) ).
cnf(t79,plain,
$false,
inference(connection,[status(thm),parent(t78:1)],[t78:1,t66:7]) ).
cnf(t80,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t66:8)],[f_65_6]) ).
cnf(t81,plain,
$false,
inference(connection,[status(thm),parent(t80:1)],[t80:1,t66:8]) ).
cnf(t82,plain,
( ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| ~ v2_orders_2(k3_yellow_1(sK1))
| v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:11)],[f_75_7]) ).
cnf(t83,plain,
$false,
inference(connection,[status(thm),parent(t82:1)],[t82:1,t2:11]) ).
cnf(t84,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:2)],[f_65_6]) ).
cnf(t85,plain,
$false,
inference(connection,[status(thm),parent(t84:1)],[t84:1,t82:2]) ).
cnf(t86,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:3)],[f_43_5]) ).
cnf(t87,plain,
$false,
inference(connection,[status(thm),parent(t86:1)],[t86:1,t82:3]) ).
cnf(t88,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:4)],[f_65_13]) ).
cnf(t89,plain,
$false,
inference(connection,[status(thm),parent(t88:1)],[t88:1,t82:4]) ).
cnf(t90,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:5)],[f_65_10]) ).
cnf(t91,plain,
$false,
inference(connection,[status(thm),parent(t90:1)],[t90:1,t82:5]) ).
cnf(t92,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:6)],[f_65_8]) ).
cnf(t93,plain,
$false,
inference(connection,[status(thm),parent(t92:1)],[t92:1,t82:6]) ).
cnf(t94,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t82:7)],[f_65_7]) ).
cnf(t95,plain,
$false,
inference(connection,[status(thm),parent(t94:1)],[t94:1,t82:7]) ).
cnf(t96,plain,
( ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| ~ v2_orders_2(k3_yellow_1(sK1))
| v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:12)],[f_75_6]) ).
cnf(t97,plain,
$false,
inference(connection,[status(thm),parent(t96:1)],[t96:1,t2:12]) ).
cnf(t98,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:2)],[f_65_6]) ).
cnf(t99,plain,
$false,
inference(connection,[status(thm),parent(t98:1)],[t98:1,t96:2]) ).
cnf(t100,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:3)],[f_43_5]) ).
cnf(t101,plain,
$false,
inference(connection,[status(thm),parent(t100:1)],[t100:1,t96:3]) ).
cnf(t102,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:4)],[f_65_13]) ).
cnf(t103,plain,
$false,
inference(connection,[status(thm),parent(t102:1)],[t102:1,t96:4]) ).
cnf(t104,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:5)],[f_65_10]) ).
cnf(t105,plain,
$false,
inference(connection,[status(thm),parent(t104:1)],[t104:1,t96:5]) ).
cnf(t106,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:6)],[f_65_8]) ).
cnf(t107,plain,
$false,
inference(connection,[status(thm),parent(t106:1)],[t106:1,t96:6]) ).
cnf(t108,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t96:7)],[f_65_7]) ).
cnf(t109,plain,
$false,
inference(connection,[status(thm),parent(t108:1)],[t108:1,t96:7]) ).
cnf(t110,plain,
( ~ v3_orders_2(k3_yellow_1(sK1))
| ~ v4_orders_2(k3_yellow_1(sK1))
| ~ v2_lattice3(k3_yellow_1(sK1))
| ~ v2_yellow_0(k3_yellow_1(sK1))
| ~ l1_orders_2(k3_yellow_1(sK1))
| ~ v2_orders_2(k3_yellow_1(sK1))
| v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK1)))) ),
inference(extension,[status(thm),parent(t2:13)],[f_75_5]) ).
cnf(t111,plain,
$false,
inference(connection,[status(thm),parent(t110:1)],[t110:1,t2:13]) ).
cnf(t112,plain,
v2_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:2)],[f_65_6]) ).
cnf(t113,plain,
$false,
inference(connection,[status(thm),parent(t112:1)],[t112:1,t110:2]) ).
cnf(t114,plain,
l1_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:3)],[f_43_5]) ).
cnf(t115,plain,
$false,
inference(connection,[status(thm),parent(t114:1)],[t114:1,t110:3]) ).
cnf(t116,plain,
v2_yellow_0(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:4)],[f_65_13]) ).
cnf(t117,plain,
$false,
inference(connection,[status(thm),parent(t116:1)],[t116:1,t110:4]) ).
cnf(t118,plain,
v2_lattice3(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:5)],[f_65_10]) ).
cnf(t119,plain,
$false,
inference(connection,[status(thm),parent(t118:1)],[t118:1,t110:5]) ).
cnf(t120,plain,
v4_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:6)],[f_65_8]) ).
cnf(t121,plain,
$false,
inference(connection,[status(thm),parent(t120:1)],[t120:1,t110:6]) ).
cnf(t122,plain,
v3_orders_2(k3_yellow_1(sK1)),
inference(extension,[status(thm),parent(t110:7)],[f_65_7]) ).
cnf(t123,plain,
$false,
inference(connection,[status(thm),parent(t122:1)],[t122:1,t110:7]) ).
cnf(t124,plain,
l1_orders_2(sK2),
inference(extension,[status(thm),parent(t2:14)],[f_1_15]) ).
cnf(t125,plain,
$false,
inference(connection,[status(thm),parent(t124:1)],[t124:1,t2:14]) ).
cnf(l62,lemma,
l1_orders_2(sK2),
inference(lemma,[status(cth),parent(t2:14),below(t1:1)],[t2:14]) ).
cnf(t126,plain,
v3_waybel_3(sK2),
inference(extension,[status(thm),parent(t2:15)],[f_1_14]) ).
cnf(t127,plain,
$false,
inference(connection,[status(thm),parent(t126:1)],[t126:1,t2:15]) ).
cnf(t128,plain,
v3_lattice3(sK2),
inference(extension,[status(thm),parent(t2:16)],[f_1_13]) ).
cnf(t129,plain,
$false,
inference(connection,[status(thm),parent(t128:1)],[t128:1,t2:16]) ).
cnf(l64,lemma,
v3_lattice3(sK2),
inference(lemma,[status(cth),parent(t2:16),below(t1:1)],[t2:16]) ).
cnf(t130,plain,
( v3_struct_0(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v2_lattice3(sK2) ),
inference(extension,[status(thm),parent(t2:17)],[f_15_5]) ).
cnf(t131,plain,
$false,
inference(connection,[status(thm),parent(t130:1)],[t130:1,t2:17]) ).
cnf(t132,plain,
l1_orders_2(sK2),
inference(lemma_extension,[status(thm),parent(t130:2)],[l62:1]) ).
cnf(t133,plain,
$false,
inference(connection,[status(thm),parent(t132:1)],[t132:1,t130:2]) ).
cnf(t134,plain,
v3_lattice3(sK2),
inference(lemma_extension,[status(thm),parent(t130:3)],[l64:1]) ).
cnf(t135,plain,
$false,
inference(connection,[status(thm),parent(t134:1)],[t134:1,t130:3]) ).
cnf(t136,plain,
( ~ v1_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v3_struct_0(sK2) ),
inference(extension,[status(thm),parent(t130:4)],[f_10_3]) ).
cnf(t137,plain,
$false,
inference(connection,[status(thm),parent(t136:1)],[t136:1,t130:4]) ).
cnf(t138,plain,
l1_orders_2(sK2),
inference(lemma_extension,[status(thm),parent(t136:2)],[l62:1]) ).
cnf(t139,plain,
$false,
inference(connection,[status(thm),parent(t138:1)],[t138:1,t136:2]) ).
cnf(t140,plain,
v1_lattice3(sK2),
inference(extension,[status(thm),parent(t136:3)],[f_1_11]) ).
cnf(t141,plain,
$false,
inference(connection,[status(thm),parent(t140:1)],[t140:1,t136:3]) ).
cnf(l65,lemma,
v2_lattice3(sK2),
inference(lemma,[status(cth),parent(t2:17),below(t1:1)],[t2:17]) ).
cnf(t142,plain,
( v3_struct_0(sK2)
| ~ v3_lattice3(sK2)
| ~ l1_orders_2(sK2)
| v1_lattice3(sK2) ),
inference(extension,[status(thm),parent(t2:18)],[f_15_4]) ).
cnf(t143,plain,
$false,
inference(connection,[status(thm),parent(t142:1)],[t142:1,t2:18]) ).
cnf(t144,plain,
l1_orders_2(sK2),
inference(lemma_extension,[status(thm),parent(t142:2)],[l62:1]) ).
cnf(t145,plain,
$false,
inference(connection,[status(thm),parent(t144:1)],[t144:1,t142:2]) ).
cnf(t146,plain,
v3_lattice3(sK2),
inference(lemma_extension,[status(thm),parent(t142:3)],[l64:1]) ).
cnf(t147,plain,
$false,
inference(connection,[status(thm),parent(t146:1)],[t146:1,t142:3]) ).
cnf(t148,plain,
( ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ v3_struct_0(sK2) ),
inference(extension,[status(thm),parent(t142:4)],[f_18_3]) ).
cnf(t149,plain,
$false,
inference(connection,[status(thm),parent(t148:1)],[t148:1,t142:4]) ).
cnf(t150,plain,
l1_orders_2(sK2),
inference(lemma_extension,[status(thm),parent(t148:2)],[l62:1]) ).
cnf(t151,plain,
$false,
inference(connection,[status(thm),parent(t150:1)],[t150:1,t148:2]) ).
cnf(t152,plain,
v2_lattice3(sK2),
inference(lemma_extension,[status(thm),parent(t148:3)],[l65:1]) ).
cnf(t153,plain,
$false,
inference(connection,[status(thm),parent(t152:1)],[t152:1,t148:3]) ).
cnf(t154,plain,
v4_orders_2(sK2),
inference(extension,[status(thm),parent(t2:19)],[f_1_10]) ).
cnf(t155,plain,
$false,
inference(connection,[status(thm),parent(t154:1)],[t154:1,t2:19]) ).
cnf(t156,plain,
v3_orders_2(sK2),
inference(extension,[status(thm),parent(t2:20)],[f_1_9]) ).
cnf(t157,plain,
$false,
inference(connection,[status(thm),parent(t156:1)],[t156:1,t2:20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 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
% 0.09/0.43 % Computer : n011.cluster.edu
% 0.09/0.43 % Model : x86_64 x86_64
% 0.09/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.43 % Memory : 8046.5625MB
% 0.09/0.43 % OS : Linux 6.8.0-71-generic
% 0.09/0.43 % CPULimit : 300
% 0.09/0.43 % WCLimit : 300
% 0.09/0.43 % DateTime : Sat Sep 19 13:35:24 UTC 2026
% 0.09/0.44 % CPUTime :
% 80.27/80.69 % SZS status Theorem for theBenchmark
% 80.27/80.69 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------