TSTP Solution File: LAT377+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:26:03 EDT 2024
% Result : Theorem 12.18s 1.88s
% Output : CNFRefutation 12.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 37
% Syntax : Number of formulae : 238 ( 16 unt; 0 def)
% Number of atoms : 1288 ( 5 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 1664 ( 614 ~; 843 |; 161 &)
% ( 21 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 22 prp; 0-5 aty)
% Number of functors : 10 ( 10 usr; 1 con; 0-3 aty)
% Number of variables : 182 ( 181 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k11_waybel34(A),k10_waybel34(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k11_waybel34(A),k10_waybel34(A)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f29,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k10_waybel34(A))
& v2_altcat_1(k10_waybel34(A))
& v6_altcat_1(k10_waybel34(A))
& v2_altcat_2(k10_waybel34(A),k8_waybel34(A))
& v3_altcat_2(k10_waybel34(A),k8_waybel34(A))
& m1_altcat_2(k10_waybel34(A),k8_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k11_waybel34(A))
& v2_altcat_1(k11_waybel34(A))
& v6_altcat_1(k11_waybel34(A))
& v2_altcat_2(k11_waybel34(A),k9_waybel34(A))
& v3_altcat_2(k11_waybel34(A),k9_waybel34(A))
& m1_altcat_2(k11_waybel34(A),k9_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& l2_altcat_1(k4_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& l2_altcat_1(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A] :
( ~ v1_xboole_0(A)
=> ( ~ v3_struct_0(k8_waybel34(A))
& v2_altcat_1(k8_waybel34(A))
& v6_altcat_1(k8_waybel34(A))
& v3_altcat_2(k8_waybel34(A),k4_waybel34(A))
& m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v3_yellow21(k4_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v3_yellow21(k5_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A)
& k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v11_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v3_altcat_2(B,A)
& m1_altcat_2(B,A) )
=> ! [C] :
( ( ~ v3_struct_0(C)
& v2_altcat_1(C)
& v3_altcat_2(C,B)
& m1_altcat_2(C,B) )
=> ( ~ v3_struct_0(C)
& v2_altcat_1(C)
& v3_altcat_2(C,A)
& m1_altcat_2(C,A) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f128,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v11_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v11_altcat_1(B)
& v12_altcat_1(B)
& l2_altcat_1(B) )
=> ! [C] :
( ( v16_functor0(C,A,B)
& m2_functor0(C,A,B) )
=> ( v21_functor0(C,A,B)
=> ! [D] :
( ( ~ v3_struct_0(D)
& v2_altcat_1(D)
& v3_altcat_2(D,A)
& m1_altcat_2(D,A) )
=> ! [E] :
( ( ~ v3_struct_0(E)
& v2_altcat_1(E)
& v3_altcat_2(E,B)
& m1_altcat_2(E,B) )
=> ( r3_yellow20(A,B,C,D,E)
=> r3_yellow20(B,A,k15_functor0(A,B,C),E,D) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f129,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k10_waybel34(A),k11_waybel34(A)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f134,plain,
? [A] :
( ~ v2_setfam_1(A)
& ~ r3_yellow20(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A),k11_waybel34(A),k10_waybel34(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f135,plain,
( ~ v2_setfam_1(sk0_0)
& ~ r3_yellow20(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0),k11_waybel34(sk0_0),k10_waybel34(sk0_0)) ),
inference(skolemization,[status(esa)],[f134]) ).
fof(f136,plain,
~ v2_setfam_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f137,plain,
~ r3_yellow20(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0),k11_waybel34(sk0_0),k10_waybel34(sk0_0)),
inference(cnf_transformation,[status(esa)],[f135]) ).
fof(f236,plain,
! [A] :
( v2_setfam_1(A)
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f237,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(esa)],[f236]) ).
fof(f316,plain,
! [A] :
( v2_setfam_1(A)
| ( ~ v3_struct_0(k10_waybel34(A))
& v2_altcat_1(k10_waybel34(A))
& v6_altcat_1(k10_waybel34(A))
& v2_altcat_2(k10_waybel34(A),k8_waybel34(A))
& v3_altcat_2(k10_waybel34(A),k8_waybel34(A))
& m1_altcat_2(k10_waybel34(A),k8_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f44]) ).
fof(f317,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k10_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f318,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k10_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f321,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f322,plain,
! [X0] :
( v2_setfam_1(X0)
| m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f316]) ).
fof(f323,plain,
! [A] :
( v2_setfam_1(A)
| ( ~ v3_struct_0(k11_waybel34(A))
& v2_altcat_1(k11_waybel34(A))
& v6_altcat_1(k11_waybel34(A))
& v2_altcat_2(k11_waybel34(A),k9_waybel34(A))
& v3_altcat_2(k11_waybel34(A),k9_waybel34(A))
& m1_altcat_2(k11_waybel34(A),k9_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f324,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k11_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f325,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k11_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f328,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f329,plain,
! [X0] :
( v2_setfam_1(X0)
| m1_altcat_2(k11_waybel34(X0),k9_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f337,plain,
! [A] :
( v1_xboole_0(A)
| ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& l2_altcat_1(k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f53]) ).
fof(f339,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f341,plain,
! [X0] :
( v1_xboole_0(X0)
| v11_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f342,plain,
! [X0] :
( v1_xboole_0(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f344,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f337]) ).
fof(f345,plain,
! [A] :
( v1_xboole_0(A)
| ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& l2_altcat_1(k5_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f352,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f345]) ).
fof(f353,plain,
! [A] :
( v2_setfam_1(A)
| ( v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& m2_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f355,plain,
! [X0] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f356,plain,
! [X0] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f361,plain,
! [A] :
( v1_xboole_0(A)
| ( ~ v3_struct_0(k8_waybel34(A))
& v2_altcat_1(k8_waybel34(A))
& v6_altcat_1(k8_waybel34(A))
& v3_altcat_2(k8_waybel34(A),k4_waybel34(A))
& m1_altcat_2(k8_waybel34(A),k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f57]) ).
fof(f362,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k8_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f363,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k8_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f365,plain,
! [X0] :
( v1_xboole_0(X0)
| v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f366,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f367,plain,
! [A] :
( v2_setfam_1(A)
| ( ~ v3_struct_0(k9_waybel34(A))
& v2_altcat_1(k9_waybel34(A))
& v6_altcat_1(k9_waybel34(A))
& v3_altcat_2(k9_waybel34(A),k5_waybel34(A))
& m1_altcat_2(k9_waybel34(A),k5_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f58]) ).
fof(f368,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k9_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f369,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k9_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f371,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f372,plain,
! [X0] :
( v2_setfam_1(X0)
| m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f457,plain,
! [A] :
( v2_setfam_1(A)
| ( ~ v3_struct_0(k4_waybel34(A))
& v2_altcat_1(k4_waybel34(A))
& v6_altcat_1(k4_waybel34(A))
& v9_altcat_1(k4_waybel34(A))
& v11_altcat_1(k4_waybel34(A))
& v12_altcat_1(k4_waybel34(A))
& v1_altcat_2(k4_waybel34(A))
& v2_yellow18(k4_waybel34(A))
& v3_yellow18(k4_waybel34(A))
& v4_yellow18(k4_waybel34(A))
& v1_yellow21(k4_waybel34(A))
& v2_yellow21(k4_waybel34(A))
& v3_yellow21(k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f94]) ).
fof(f458,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f459,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f462,plain,
! [X0] :
( v2_setfam_1(X0)
| v11_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f463,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f457]) ).
fof(f477,plain,
! [A] :
( v2_setfam_1(A)
| ( ~ v3_struct_0(k5_waybel34(A))
& v2_altcat_1(k5_waybel34(A))
& v6_altcat_1(k5_waybel34(A))
& v9_altcat_1(k5_waybel34(A))
& v11_altcat_1(k5_waybel34(A))
& v12_altcat_1(k5_waybel34(A))
& v1_altcat_2(k5_waybel34(A))
& v2_yellow18(k5_waybel34(A))
& v3_yellow18(k5_waybel34(A))
& v4_yellow18(k5_waybel34(A))
& v1_yellow21(k5_waybel34(A))
& v2_yellow21(k5_waybel34(A))
& v3_yellow21(k5_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f96]) ).
fof(f478,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f479,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f482,plain,
! [X0] :
( v2_setfam_1(X0)
| v11_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f483,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f477]) ).
fof(f495,plain,
! [A] :
( v2_setfam_1(A)
| ( v6_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v8_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v9_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v11_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v12_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v14_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v16_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A))
& v21_functor0(k6_waybel34(A),k4_waybel34(A),k5_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f98]) ).
fof(f503,plain,
! [X0] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f495]) ).
fof(f622,plain,
! [A] :
( v2_setfam_1(A)
| ( k15_functor0(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A)) = k7_waybel34(A)
& k15_functor0(k5_waybel34(A),k4_waybel34(A),k7_waybel34(A)) = k6_waybel34(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f122]) ).
fof(f623,plain,
! [X0] :
( v2_setfam_1(X0)
| k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ),
inference(cnf_transformation,[status(esa)],[f622]) ).
fof(f629,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ l2_altcat_1(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_altcat_1(B)
| ~ v3_altcat_2(B,A)
| ~ m1_altcat_2(B,A)
| ! [C] :
( v3_struct_0(C)
| ~ v2_altcat_1(C)
| ~ v3_altcat_2(C,B)
| ~ m1_altcat_2(C,B)
| ( ~ v3_struct_0(C)
& v2_altcat_1(C)
& v3_altcat_2(C,A)
& m1_altcat_2(C,A) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f125]) ).
fof(f632,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| ~ m1_altcat_2(X1,X0)
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,X1)
| ~ m1_altcat_2(X2,X1)
| v3_altcat_2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f629]) ).
fof(f633,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,X0)
| ~ m1_altcat_2(X1,X0)
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,X1)
| ~ m1_altcat_2(X2,X1)
| m1_altcat_2(X2,X0) ),
inference(cnf_transformation,[status(esa)],[f629]) ).
fof(f641,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_altcat_1(A)
| ~ v11_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ l2_altcat_1(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_altcat_1(B)
| ~ v11_altcat_1(B)
| ~ v12_altcat_1(B)
| ~ l2_altcat_1(B)
| ! [C] :
( ~ v16_functor0(C,A,B)
| ~ m2_functor0(C,A,B)
| ~ v21_functor0(C,A,B)
| ! [D] :
( v3_struct_0(D)
| ~ v2_altcat_1(D)
| ~ v3_altcat_2(D,A)
| ~ m1_altcat_2(D,A)
| ! [E] :
( v3_struct_0(E)
| ~ v2_altcat_1(E)
| ~ v3_altcat_2(E,B)
| ~ m1_altcat_2(E,B)
| ~ r3_yellow20(A,B,C,D,E)
| r3_yellow20(B,A,k15_functor0(A,B,C),E,D) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f128]) ).
fof(f642,plain,
! [X0,X1,X2,X3,X4] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ),
inference(cnf_transformation,[status(esa)],[f641]) ).
fof(f643,plain,
! [A] :
( v2_setfam_1(A)
| r3_yellow20(k4_waybel34(A),k5_waybel34(A),k6_waybel34(A),k10_waybel34(A),k11_waybel34(A)) ),
inference(pre_NNF_transformation,[status(esa)],[f129]) ).
fof(f644,plain,
! [X0] :
( v2_setfam_1(X0)
| r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k10_waybel34(X0),k11_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f643]) ).
fof(f777,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_struct_0(k11_waybel34(X1))
| ~ v2_altcat_1(k11_waybel34(X1))
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(resolution,[status(thm)],[f632,f328]) ).
fof(f778,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| ~ v2_altcat_1(k11_waybel34(X1))
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f777,f324]) ).
fof(f782,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_struct_0(k11_waybel34(X1))
| ~ v2_altcat_1(k11_waybel34(X1))
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(resolution,[status(thm)],[f633,f328]) ).
fof(f783,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| ~ v2_altcat_1(k11_waybel34(X1))
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f782,f324]) ).
fof(f804,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f778,f325]) ).
fof(f805,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1)
| v2_setfam_1(X1) ),
inference(resolution,[status(thm)],[f804,f329]) ).
fof(f806,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f805]) ).
fof(f810,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k11_waybel34(X1),k9_waybel34(X1))
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f325]) ).
fof(f811,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1)
| v2_setfam_1(X1) ),
inference(resolution,[status(thm)],[f810,f329]) ).
fof(f812,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(k9_waybel34(X1))
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(duplicate_literals_removal,[status(esa)],[f811]) ).
fof(f948,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f812,f368]) ).
fof(f955,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| ~ v2_altcat_1(k9_waybel34(X1))
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f806,f368]) ).
fof(f972,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| v3_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f955,f369]) ).
fof(f973,plain,
! [X0,X1] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| ~ v3_altcat_2(k9_waybel34(X1),X0)
| ~ m1_altcat_2(k9_waybel34(X1),X0)
| m1_altcat_2(k11_waybel34(X1),X0)
| v2_setfam_1(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f948,f369]) ).
fof(f1317,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),X1) ),
inference(resolution,[status(thm)],[f321,f633]) ).
fof(f1318,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1317,f317]) ).
fof(f1319,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),X1) ),
inference(resolution,[status(thm)],[f321,f632]) ).
fof(f1320,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1319,f317]) ).
fof(f1364,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f371,f973]) ).
fof(f1365,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1364]) ).
fof(f1366,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1365,f478]) ).
fof(f1367,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f371,f972]) ).
fof(f1368,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f1367]) ).
fof(f1369,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1368,f478]) ).
fof(f1493,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1318,f318]) ).
fof(f1494,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| m1_altcat_2(k10_waybel34(X0),X1)
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f1493,f322]) ).
fof(f1495,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| m1_altcat_2(k10_waybel34(X0),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f1494]) ).
fof(f1517,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k10_waybel34(X0),k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f318]) ).
fof(f1518,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| v3_altcat_2(k10_waybel34(X0),X1)
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f1517,f322]) ).
fof(f1519,plain,
! [X0,X1] :
( v2_setfam_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ v3_altcat_2(k8_waybel34(X0),X1)
| ~ m1_altcat_2(k8_waybel34(X0),X1)
| v3_altcat_2(k10_waybel34(X0),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f1518]) ).
fof(f2078,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f1495,f365]) ).
fof(f2079,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f458]) ).
fof(f2108,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f1519,f365]) ).
fof(f2109,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2108,f458]) ).
fof(f2161,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1366,f479]) ).
fof(f2162,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f2161,f372]) ).
fof(f2163,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2162]) ).
fof(f2164,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2163,f482]) ).
fof(f2165,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2164,f483]) ).
fof(f2180,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1369,f479]) ).
fof(f2181,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f2180,f372]) ).
fof(f2182,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2181]) ).
fof(f2183,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2182,f482]) ).
fof(f2184,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2183,f483]) ).
fof(f2248,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2079,f339]) ).
fof(f2249,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f2248,f366]) ).
fof(f2250,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2249]) ).
fof(f2251,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2250,f341]) ).
fof(f2252,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| ~ m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2109,f339]) ).
fof(f2253,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0)
| v1_xboole_0(X0) ),
inference(resolution,[status(thm)],[f2252,f366]) ).
fof(f2254,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2253]) ).
fof(f2255,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2254,f341]) ).
fof(f2288,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2251,f342]) ).
fof(f2292,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k8_waybel34(X0))
| ~ v2_altcat_1(k8_waybel34(X0))
| v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2255,f342]) ).
fof(f3616,plain,
! [X0,X1,X2] :
( v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(X0))
| ~ m1_altcat_2(X1,k4_waybel34(X0))
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,k5_waybel34(X0))
| ~ m1_altcat_2(X2,k5_waybel34(X0))
| ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X1,X2)
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X2,X1)
| v2_setfam_1(X0) ),
inference(paramodulation,[status(thm)],[f623,f642]) ).
fof(f3617,plain,
! [X0,X1,X2] :
( ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(X0))
| ~ m1_altcat_2(X1,k4_waybel34(X0))
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,k5_waybel34(X0))
| ~ m1_altcat_2(X2,k5_waybel34(X0))
| ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X1,X2)
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X2,X1)
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3616,f458]) ).
fof(f3619,plain,
! [X0,X1,X2] :
( ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(X0))
| ~ m1_altcat_2(X1,k4_waybel34(X0))
| v3_struct_0(X2)
| ~ v2_altcat_1(X2)
| ~ v3_altcat_2(X2,k5_waybel34(X0))
| ~ m1_altcat_2(X2,k5_waybel34(X0))
| ~ r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),X1,X2)
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),X2,X1)
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3617,f459]) ).
fof(f3620,plain,
! [X0] :
( ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v3_struct_0(k11_waybel34(X0))
| ~ v2_altcat_1(k11_waybel34(X0))
| ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
| v2_setfam_1(X0)
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f3619,f644]) ).
fof(f3621,plain,
! [X0] :
( ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v3_struct_0(k11_waybel34(X0))
| ~ v2_altcat_1(k11_waybel34(X0))
| ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f3620]) ).
fof(f3622,plain,
! [X0] :
( ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v3_struct_0(k11_waybel34(X0))
| ~ v2_altcat_1(k11_waybel34(X0))
| ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3621,f462]) ).
fof(f3623,plain,
! [X0] :
( ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v11_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v3_struct_0(k10_waybel34(X0))
| ~ v2_altcat_1(k10_waybel34(X0))
| ~ v3_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| ~ m1_altcat_2(k10_waybel34(X0),k4_waybel34(X0))
| v3_struct_0(k11_waybel34(X0))
| ~ v2_altcat_1(k11_waybel34(X0))
| ~ v3_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| ~ m1_altcat_2(k11_waybel34(X0),k5_waybel34(X0))
| r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k11_waybel34(X0),k10_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f3622,f463]) ).
fof(f3624,plain,
( spl0_19
<=> l2_altcat_1(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3626,plain,
( ~ l2_altcat_1(k4_waybel34(sk0_0))
| spl0_19 ),
inference(component_clause,[status(thm)],[f3624]) ).
fof(f3627,plain,
( spl0_20
<=> v3_struct_0(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3628,plain,
( v3_struct_0(k5_waybel34(sk0_0))
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f3627]) ).
fof(f3630,plain,
( spl0_21
<=> v2_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3632,plain,
( ~ v2_altcat_1(k5_waybel34(sk0_0))
| spl0_21 ),
inference(component_clause,[status(thm)],[f3630]) ).
fof(f3633,plain,
( spl0_22
<=> v11_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3635,plain,
( ~ v11_altcat_1(k5_waybel34(sk0_0))
| spl0_22 ),
inference(component_clause,[status(thm)],[f3633]) ).
fof(f3636,plain,
( spl0_23
<=> v12_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3638,plain,
( ~ v12_altcat_1(k5_waybel34(sk0_0))
| spl0_23 ),
inference(component_clause,[status(thm)],[f3636]) ).
fof(f3639,plain,
( spl0_24
<=> l2_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3641,plain,
( ~ l2_altcat_1(k5_waybel34(sk0_0))
| spl0_24 ),
inference(component_clause,[status(thm)],[f3639]) ).
fof(f3642,plain,
( spl0_25
<=> v16_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3644,plain,
( ~ v16_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_25 ),
inference(component_clause,[status(thm)],[f3642]) ).
fof(f3645,plain,
( spl0_26
<=> m2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3647,plain,
( ~ m2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_26 ),
inference(component_clause,[status(thm)],[f3645]) ).
fof(f3648,plain,
( spl0_27
<=> v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3650,plain,
( ~ v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_27 ),
inference(component_clause,[status(thm)],[f3648]) ).
fof(f3651,plain,
( spl0_28
<=> v3_struct_0(k10_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3652,plain,
( v3_struct_0(k10_waybel34(sk0_0))
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f3651]) ).
fof(f3654,plain,
( spl0_29
<=> v2_altcat_1(k10_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3656,plain,
( ~ v2_altcat_1(k10_waybel34(sk0_0))
| spl0_29 ),
inference(component_clause,[status(thm)],[f3654]) ).
fof(f3657,plain,
( spl0_30
<=> v3_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3659,plain,
( ~ v3_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_30 ),
inference(component_clause,[status(thm)],[f3657]) ).
fof(f3660,plain,
( spl0_31
<=> m1_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3662,plain,
( ~ m1_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_31 ),
inference(component_clause,[status(thm)],[f3660]) ).
fof(f3663,plain,
( spl0_32
<=> v3_struct_0(k11_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3664,plain,
( v3_struct_0(k11_waybel34(sk0_0))
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f3663]) ).
fof(f3666,plain,
( spl0_33
<=> v2_altcat_1(k11_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3668,plain,
( ~ v2_altcat_1(k11_waybel34(sk0_0))
| spl0_33 ),
inference(component_clause,[status(thm)],[f3666]) ).
fof(f3669,plain,
( spl0_34
<=> v3_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3671,plain,
( ~ v3_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_34 ),
inference(component_clause,[status(thm)],[f3669]) ).
fof(f3672,plain,
( spl0_35
<=> m1_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3674,plain,
( ~ m1_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_35 ),
inference(component_clause,[status(thm)],[f3672]) ).
fof(f3675,plain,
( spl0_36
<=> v2_setfam_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f3676,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f3675]) ).
fof(f3678,plain,
( ~ l2_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k5_waybel34(sk0_0))
| ~ v2_altcat_1(k5_waybel34(sk0_0))
| ~ v11_altcat_1(k5_waybel34(sk0_0))
| ~ v12_altcat_1(k5_waybel34(sk0_0))
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| ~ v16_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| ~ m2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| ~ v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| v3_struct_0(k10_waybel34(sk0_0))
| ~ v2_altcat_1(k10_waybel34(sk0_0))
| ~ v3_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0))
| ~ m1_altcat_2(k10_waybel34(sk0_0),k4_waybel34(sk0_0))
| v3_struct_0(k11_waybel34(sk0_0))
| ~ v2_altcat_1(k11_waybel34(sk0_0))
| ~ v3_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0))
| ~ m1_altcat_2(k11_waybel34(sk0_0),k5_waybel34(sk0_0))
| v2_setfam_1(sk0_0) ),
inference(resolution,[status(thm)],[f3623,f137]) ).
fof(f3679,plain,
( ~ spl0_19
| spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| spl0_28
| ~ spl0_29
| ~ spl0_30
| ~ spl0_31
| spl0_32
| ~ spl0_33
| ~ spl0_34
| ~ spl0_35
| spl0_36 ),
inference(split_clause,[status(thm)],[f3678,f3624,f3627,f3630,f3633,f3636,f3639,f3642,f3645,f3648,f3651,f3654,f3657,f3660,f3663,f3666,f3669,f3672,f3675]) ).
fof(f3708,plain,
( v2_setfam_1(sk0_0)
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| spl0_35 ),
inference(resolution,[status(thm)],[f3674,f2165]) ).
fof(f3709,plain,
( spl0_36
| ~ spl0_24
| spl0_35 ),
inference(split_clause,[status(thm)],[f3708,f3675,f3639,f3672]) ).
fof(f3710,plain,
( v2_setfam_1(sk0_0)
| spl0_33 ),
inference(resolution,[status(thm)],[f3668,f325]) ).
fof(f3711,plain,
( $false
| spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f3710,f136]) ).
fof(f3712,plain,
spl0_33,
inference(contradiction_clause,[status(thm)],[f3711]) ).
fof(f3713,plain,
( v2_setfam_1(sk0_0)
| spl0_29 ),
inference(resolution,[status(thm)],[f3656,f318]) ).
fof(f3714,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f3713,f136]) ).
fof(f3715,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f3714]) ).
fof(f3717,plain,
( v2_setfam_1(sk0_0)
| spl0_23 ),
inference(resolution,[status(thm)],[f3638,f483]) ).
fof(f3718,plain,
( $false
| spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f3717,f136]) ).
fof(f3719,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f3718]) ).
fof(f3721,plain,
( v2_setfam_1(sk0_0)
| spl0_22 ),
inference(resolution,[status(thm)],[f3635,f482]) ).
fof(f3722,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f3721,f136]) ).
fof(f3723,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f3722]) ).
fof(f3724,plain,
( v2_setfam_1(sk0_0)
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| spl0_34 ),
inference(resolution,[status(thm)],[f3671,f2184]) ).
fof(f3725,plain,
( spl0_36
| ~ spl0_24
| spl0_34 ),
inference(split_clause,[status(thm)],[f3724,f3675,f3639,f3669]) ).
fof(f3727,plain,
( v2_setfam_1(sk0_0)
| spl0_21 ),
inference(resolution,[status(thm)],[f3632,f479]) ).
fof(f3728,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f3727,f136]) ).
fof(f3729,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f3728]) ).
fof(f3730,plain,
( v1_xboole_0(sk0_0)
| spl0_19 ),
inference(resolution,[status(thm)],[f3626,f344]) ).
fof(f3731,plain,
( v1_xboole_0(sk0_0)
| spl0_24 ),
inference(resolution,[status(thm)],[f3641,f352]) ).
fof(f3884,plain,
( spl0_65
<=> v3_struct_0(k8_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3885,plain,
( v3_struct_0(k8_waybel34(sk0_0))
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f3884]) ).
fof(f3887,plain,
( spl0_66
<=> v2_altcat_1(k8_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f3889,plain,
( ~ v2_altcat_1(k8_waybel34(sk0_0))
| spl0_66 ),
inference(component_clause,[status(thm)],[f3887]) ).
fof(f3890,plain,
( spl0_67
<=> v1_xboole_0(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f3891,plain,
( v1_xboole_0(sk0_0)
| ~ spl0_67 ),
inference(component_clause,[status(thm)],[f3890]) ).
fof(f3893,plain,
( v2_setfam_1(sk0_0)
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k8_waybel34(sk0_0))
| ~ v2_altcat_1(k8_waybel34(sk0_0))
| v1_xboole_0(sk0_0)
| spl0_31 ),
inference(resolution,[status(thm)],[f3662,f2288]) ).
fof(f3894,plain,
( spl0_36
| ~ spl0_19
| spl0_65
| ~ spl0_66
| spl0_67
| spl0_31 ),
inference(split_clause,[status(thm)],[f3893,f3675,f3624,f3884,f3887,f3890,f3660]) ).
fof(f3895,plain,
( v2_setfam_1(sk0_0)
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k8_waybel34(sk0_0))
| ~ v2_altcat_1(k8_waybel34(sk0_0))
| v1_xboole_0(sk0_0)
| spl0_30 ),
inference(resolution,[status(thm)],[f3659,f2292]) ).
fof(f3896,plain,
( spl0_36
| ~ spl0_19
| spl0_65
| ~ spl0_66
| spl0_67
| spl0_30 ),
inference(split_clause,[status(thm)],[f3895,f3675,f3624,f3884,f3887,f3890,f3657]) ).
fof(f3968,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f3652,f317]) ).
fof(f3969,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f3968,f136]) ).
fof(f3970,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f3969]) ).
fof(f3982,plain,
( v2_setfam_1(sk0_0)
| spl0_27 ),
inference(resolution,[status(thm)],[f3650,f503]) ).
fof(f3983,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f3982,f136]) ).
fof(f3984,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f3983]) ).
fof(f3985,plain,
( v2_setfam_1(sk0_0)
| spl0_26 ),
inference(resolution,[status(thm)],[f3647,f356]) ).
fof(f3986,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f3985,f136]) ).
fof(f3987,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f3986]) ).
fof(f3988,plain,
( v2_setfam_1(sk0_0)
| spl0_25 ),
inference(resolution,[status(thm)],[f3644,f355]) ).
fof(f3989,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f3988,f136]) ).
fof(f3990,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f3989]) ).
fof(f4334,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_32 ),
inference(resolution,[status(thm)],[f3664,f324]) ).
fof(f4335,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f4334,f136]) ).
fof(f4336,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f4335]) ).
fof(f4357,plain,
( v2_setfam_1(sk0_0)
| spl0_19 ),
inference(resolution,[status(thm)],[f3730,f237]) ).
fof(f4358,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f4357,f136]) ).
fof(f4359,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f4358]) ).
fof(f4370,plain,
( v2_setfam_1(sk0_0)
| spl0_24 ),
inference(resolution,[status(thm)],[f3731,f237]) ).
fof(f4371,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f4370,f136]) ).
fof(f4372,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f4371]) ).
fof(f4373,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f3676,f136]) ).
fof(f4374,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f4373]) ).
fof(f4375,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f3628,f478]) ).
fof(f4376,plain,
( spl0_36
| ~ spl0_20 ),
inference(split_clause,[status(thm)],[f4375,f3675,f3627]) ).
fof(f4710,plain,
( v1_xboole_0(sk0_0)
| spl0_66 ),
inference(resolution,[status(thm)],[f3889,f363]) ).
fof(f4720,plain,
( v2_setfam_1(sk0_0)
| spl0_66 ),
inference(resolution,[status(thm)],[f4710,f237]) ).
fof(f4721,plain,
( spl0_36
| spl0_66 ),
inference(split_clause,[status(thm)],[f4720,f3675,f3887]) ).
fof(f4723,plain,
( v1_xboole_0(sk0_0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f3885,f362]) ).
fof(f4733,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f4723,f237]) ).
fof(f4734,plain,
( spl0_36
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f4733,f3675,f3884]) ).
fof(f4744,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_67 ),
inference(resolution,[status(thm)],[f3891,f237]) ).
fof(f4745,plain,
( spl0_36
| ~ spl0_67 ),
inference(split_clause,[status(thm)],[f4744,f3675,f3890]) ).
fof(f4746,plain,
$false,
inference(sat_refutation,[status(thm)],[f3679,f3709,f3712,f3715,f3719,f3723,f3725,f3729,f3894,f3896,f3970,f3984,f3987,f3990,f4336,f4359,f4372,f4374,f4376,f4721,f4734,f4745]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LAT377+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 20:04:42 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 12.18/1.88 % Refutation found
% 12.18/1.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 12.18/1.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 12.57/1.94 % Elapsed time: 1.629943 seconds
% 12.57/1.94 % CPU time: 12.633832 seconds
% 12.57/1.94 % Total memory used: 204.997 MB
% 12.57/1.94 % Net memory used: 202.553 MB
%------------------------------------------------------------------------------