TSTP Solution File: LAT361+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 : Wed May 31 12:17:47 EDT 2023
% Result : Theorem 14.62s 2.25s
% Output : CNFRefutation 14.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 40
% Syntax : Number of formulae : 201 ( 11 unt; 0 def)
% Number of atoms : 972 ( 41 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 1234 ( 463 ~; 581 |; 141 &)
% ( 23 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 24 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-5 aty)
% Number of variables : 130 (; 129 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [A] :
( ~ v2_setfam_1(A)
=> ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) = k12_functor0(k5_waybel34(A))
& k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) = k12_functor0(k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ! [A] :
( ~ v2_setfam_1(A)
=> ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) = k12_functor0(k5_waybel34(A))
& k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) = k12_functor0(k4_waybel34(A)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [A,B,C] :
( ( l1_altcat_1(A)
& l1_altcat_1(B)
& l2_functor0(C,A,B) )
=> ( v9_functor0(C,A,B)
=> C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A] :
( l2_altcat_1(A)
=> ( ( ~ v3_struct_0(A)
& v12_altcat_1(A) )
=> ( ~ v3_struct_0(A)
& v1_altcat_2(A) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ~ v1_xboole_0(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [A,B,C] :
( ( ~ v3_struct_0(A)
& l1_altcat_1(A)
& ~ v3_struct_0(B)
& l1_altcat_1(B)
& l2_functor0(C,A,B) )
=> ( v9_functor0(k15_functor0(A,B,C),B,A)
& l2_functor0(k15_functor0(A,B,C),B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,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/sandbox/benchmark/theBenchmark.p') ).
fof(f53,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/sandbox/benchmark/theBenchmark.p') ).
fof(f54,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/sandbox/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [A] :
( l2_altcat_1(A)
=> l1_altcat_1(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [A,B] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& l2_altcat_1(A)
& ~ v3_struct_0(B)
& v12_altcat_1(B)
& l2_altcat_1(B) )
=> ! [C] :
( m2_functor0(C,A,B)
=> l2_functor0(C,A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,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/sandbox/benchmark/theBenchmark.p') ).
fof(f99,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/sandbox/benchmark/theBenchmark.p') ).
fof(f101,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/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
! [A] :
( ~ v2_setfam_1(A)
=> ( v6_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v8_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v11_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v12_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v14_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f129,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/sandbox/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [A] :
( ( ~ v3_struct_0(A)
& v2_altcat_1(A)
& v12_altcat_1(A)
& v1_altcat_2(A)
& l2_altcat_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v2_altcat_1(B)
& v12_altcat_1(B)
& v1_altcat_2(B)
& l2_altcat_1(B) )
=> ! [C] :
( ( v8_functor0(C,A,B)
& l2_functor0(C,A,B) )
=> ( v21_functor0(C,A,B)
=> ! [D] :
( ( v8_functor0(D,B,A)
& l2_functor0(D,B,A) )
=> ( g2_functor0(B,A,u1_functor0(B,A,D),u2_functor0(B,A,D)) = k15_functor0(A,B,C)
=> k13_functor0(B,A,B,D,C) = k12_functor0(B) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f139,plain,
? [A] :
( ~ v2_setfam_1(A)
& ( k13_functor0(k5_waybel34(A),k4_waybel34(A),k5_waybel34(A),k7_waybel34(A),k6_waybel34(A)) != k12_functor0(k5_waybel34(A))
| k13_functor0(k4_waybel34(A),k5_waybel34(A),k4_waybel34(A),k6_waybel34(A),k7_waybel34(A)) != k12_functor0(k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f140,plain,
( ~ v2_setfam_1(sk0_0)
& ( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
| k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0)) ) ),
inference(skolemization,[status(esa)],[f139]) ).
fof(f141,plain,
~ v2_setfam_1(sk0_0),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f142,plain,
( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
| k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0)) ),
inference(cnf_transformation,[status(esa)],[f140]) ).
fof(f145,plain,
! [A,B,C] :
( ~ l1_altcat_1(A)
| ~ l1_altcat_1(B)
| ~ l2_functor0(C,A,B)
| ~ v9_functor0(C,A,B)
| C = g2_functor0(A,B,u1_functor0(A,B,C),u2_functor0(A,B,C)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ l1_altcat_1(X0)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v9_functor0(X2,X0,X1)
| X2 = g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f145]) ).
fof(f222,plain,
! [A] :
( ~ l2_altcat_1(A)
| v3_struct_0(A)
| ~ v12_altcat_1(A)
| ( ~ v3_struct_0(A)
& v1_altcat_2(A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f224,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| v3_struct_0(X0)
| ~ v12_altcat_1(X0)
| v1_altcat_2(X0) ),
inference(cnf_transformation,[status(esa)],[f222]) ).
fof(f233,plain,
! [A] :
( v2_setfam_1(A)
| ~ v1_xboole_0(A) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f234,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[status(esa)],[f233]) ).
fof(f290,plain,
! [A,B,C] :
( v3_struct_0(A)
| ~ l1_altcat_1(A)
| v3_struct_0(B)
| ~ l1_altcat_1(B)
| ~ l2_functor0(C,A,B)
| ( v9_functor0(k15_functor0(A,B,C),B,A)
& l2_functor0(k15_functor0(A,B,C),B,A) ) ),
inference(pre_NNF_transformation,[status(esa)],[f45]) ).
fof(f291,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1)
| v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[status(esa)],[f290]) ).
fof(f292,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ l1_altcat_1(X0)
| v3_struct_0(X1)
| ~ l1_altcat_1(X1)
| ~ l2_functor0(X2,X0,X1)
| l2_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[status(esa)],[f290]) ).
fof(f297,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)],[f52]) ).
fof(f304,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f297]) ).
fof(f305,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)],[f53]) ).
fof(f312,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f305]) ).
fof(f313,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)],[f54]) ).
fof(f316,plain,
! [X0] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f313]) ).
fof(f317,plain,
! [A] :
( v2_setfam_1(A)
| ( v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& m2_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f55]) ).
fof(f320,plain,
! [X0] :
( v2_setfam_1(X0)
| m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f317]) ).
fof(f323,plain,
! [A] :
( ~ l2_altcat_1(A)
| l1_altcat_1(A) ),
inference(pre_NNF_transformation,[status(esa)],[f59]) ).
fof(f324,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[status(esa)],[f323]) ).
fof(f333,plain,
! [A,B] :
( v3_struct_0(A)
| ~ v2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ l2_altcat_1(A)
| v3_struct_0(B)
| ~ v12_altcat_1(B)
| ~ l2_altcat_1(B)
| ! [C] :
( ~ m2_functor0(C,A,B)
| l2_functor0(C,A,B) ) ),
inference(pre_NNF_transformation,[status(esa)],[f65]) ).
fof(f334,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ m2_functor0(X2,X0,X1)
| l2_functor0(X2,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f333]) ).
fof(f415,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)],[f97]) ).
fof(f416,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f415]) ).
fof(f417,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f415]) ).
fof(f421,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f415]) ).
fof(f435,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)],[f99]) ).
fof(f436,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f437,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f441,plain,
! [X0] :
( v2_setfam_1(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f435]) ).
fof(f453,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)],[f101]) ).
fof(f455,plain,
! [X0] :
( v2_setfam_1(X0)
| v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f461,plain,
! [X0] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f453]) ).
fof(f462,plain,
! [A] :
( v2_setfam_1(A)
| ( v6_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v8_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v9_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v11_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v12_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v14_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v16_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A))
& v21_functor0(k7_waybel34(A),k5_waybel34(A),k4_waybel34(A)) ) ),
inference(pre_NNF_transformation,[status(esa)],[f102]) ).
fof(f464,plain,
! [X0] :
( v2_setfam_1(X0)
| v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f462]) ).
fof(f470,plain,
! [X0] :
( v2_setfam_1(X0)
| v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[status(esa)],[f462]) ).
fof(f593,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)],[f129]) ).
fof(f594,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)],[f593]) ).
fof(f595,plain,
! [X0] :
( v2_setfam_1(X0)
| k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ),
inference(cnf_transformation,[status(esa)],[f593]) ).
fof(f598,plain,
! [A] :
( v3_struct_0(A)
| ~ v2_altcat_1(A)
| ~ v12_altcat_1(A)
| ~ v1_altcat_2(A)
| ~ l2_altcat_1(A)
| ! [B] :
( v3_struct_0(B)
| ~ v2_altcat_1(B)
| ~ v12_altcat_1(B)
| ~ v1_altcat_2(B)
| ~ l2_altcat_1(B)
| ! [C] :
( ~ v8_functor0(C,A,B)
| ~ l2_functor0(C,A,B)
| ~ v21_functor0(C,A,B)
| ! [D] :
( ~ v8_functor0(D,B,A)
| ~ l2_functor0(D,B,A)
| g2_functor0(B,A,u1_functor0(B,A,D),u2_functor0(B,A,D)) != k15_functor0(A,B,C)
| k13_functor0(B,A,B,D,C) = k12_functor0(B) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f131]) ).
fof(f599,plain,
! [X0,X1,X2,X3] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0)
| g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3)) != k15_functor0(X0,X1,X2)
| k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ),
inference(cnf_transformation,[status(esa)],[f598]) ).
fof(f620,plain,
( spl0_0
<=> k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) = k12_functor0(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f622,plain,
( k13_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0),k7_waybel34(sk0_0),k6_waybel34(sk0_0)) != k12_functor0(k5_waybel34(sk0_0))
| spl0_0 ),
inference(component_clause,[status(thm)],[f620]) ).
fof(f623,plain,
( spl0_1
<=> k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) = k12_functor0(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f625,plain,
( k13_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0),k6_waybel34(sk0_0),k7_waybel34(sk0_0)) != k12_functor0(k4_waybel34(sk0_0))
| spl0_1 ),
inference(component_clause,[status(thm)],[f623]) ).
fof(f626,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f142,f620,f623]) ).
fof(f1578,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f334,f320]) ).
fof(f1579,plain,
! [X0] :
( ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1578,f436]) ).
fof(f1580,plain,
! [X0] :
( v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f334,f316]) ).
fof(f1581,plain,
! [X0] :
( ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1580,f416]) ).
fof(f1587,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1579,f437]) ).
fof(f1590,plain,
! [X0] :
( ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1581,f417]) ).
fof(f2289,plain,
! [X0] :
( v3_struct_0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(paramodulation,[status(thm)],[f594,f292]) ).
fof(f2290,plain,
! [X0] :
( ~ l1_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2289,f416]) ).
fof(f2292,plain,
! [X0] :
( ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2290,f436]) ).
fof(f2293,plain,
! [X0] :
( ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f2292,f1590]) ).
fof(f2294,plain,
! [X0] :
( ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2293]) ).
fof(f2295,plain,
! [X0] :
( ~ l1_altcat_1(k5_waybel34(X0))
| l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2294,f324]) ).
fof(f2364,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(paramodulation,[status(thm)],[f595,f292]) ).
fof(f2365,plain,
! [X0] :
( ~ l1_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2364,f436]) ).
fof(f2367,plain,
! [X0,X1,X2,X3] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ l2_functor0(X3,X1,X0)
| g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3)) != k15_functor0(X0,X1,X2)
| k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f599,f224]) ).
fof(f2368,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
| ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
| k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0)
| ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
| ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(resolution,[status(thm)],[f2367,f146]) ).
fof(f2369,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
| ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
| k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0)
| ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(duplicate_literals_removal,[status(esa)],[f2368]) ).
fof(f2370,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
| ~ l2_functor0(k15_functor0(X0,X1,X2),X1,X0)
| k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0)
| ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2369,f224]) ).
fof(f2372,plain,
! [X0] :
( ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2365,f416]) ).
fof(f2373,plain,
! [X0] :
( ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(resolution,[status(thm)],[f2372,f1587]) ).
fof(f2374,plain,
! [X0] :
( ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f2373]) ).
fof(f2375,plain,
! [X0] :
( ~ l1_altcat_1(k4_waybel34(X0))
| l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2374,f324]) ).
fof(f2376,plain,
! [X0] :
( l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| v3_struct_0(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2295,f324]) ).
fof(f2380,plain,
! [X0] :
( l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0)
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f2375,f324]) ).
fof(f4638,plain,
! [X0,X1,X2] :
( v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ v8_functor0(k15_functor0(X0,X1,X2),X1,X0)
| k13_functor0(X1,X0,X1,k15_functor0(X0,X1,X2),X2) = k12_functor0(X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0)
| ~ v9_functor0(k15_functor0(X0,X1,X2),X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2370,f292]) ).
fof(f4639,plain,
! [X0] :
( v3_struct_0(k5_waybel34(X0))
| ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(paramodulation,[status(thm)],[f595,f4638]) ).
fof(f4640,plain,
! [X0] :
( ~ v2_altcat_1(k5_waybel34(X0))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4639,f436]) ).
fof(f4641,plain,
! [X0] :
( v3_struct_0(k4_waybel34(X0))
| ~ v2_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))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(paramodulation,[status(thm)],[f594,f4638]) ).
fof(f4642,plain,
! [X0] :
( ~ v2_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))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4641,f416]) ).
fof(f4643,plain,
! [X0] :
( ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ l2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| ~ v8_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(k4_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ v9_functor0(k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4640,f437]) ).
fof(f4644,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))
| ~ v12_altcat_1(k5_waybel34(X0))
| ~ l2_altcat_1(k5_waybel34(X0))
| ~ v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ l2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| ~ v8_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| k13_functor0(k5_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0),k7_waybel34(X0),k6_waybel34(X0)) = k12_functor0(k5_waybel34(X0))
| ~ l1_altcat_1(k5_waybel34(X0))
| ~ l1_altcat_1(k4_waybel34(X0))
| ~ v9_functor0(k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f4642,f417]) ).
fof(f4645,plain,
( spl0_21
<=> v12_altcat_1(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4647,plain,
( ~ v12_altcat_1(k4_waybel34(sk0_0))
| spl0_21 ),
inference(component_clause,[status(thm)],[f4645]) ).
fof(f4648,plain,
( spl0_22
<=> l2_altcat_1(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4649,plain,
( l2_altcat_1(k4_waybel34(sk0_0))
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f4648]) ).
fof(f4650,plain,
( ~ l2_altcat_1(k4_waybel34(sk0_0))
| spl0_22 ),
inference(component_clause,[status(thm)],[f4648]) ).
fof(f4651,plain,
( spl0_23
<=> v3_struct_0(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4652,plain,
( v3_struct_0(k5_waybel34(sk0_0))
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f4651]) ).
fof(f4654,plain,
( spl0_24
<=> v2_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4656,plain,
( ~ v2_altcat_1(k5_waybel34(sk0_0))
| spl0_24 ),
inference(component_clause,[status(thm)],[f4654]) ).
fof(f4657,plain,
( spl0_25
<=> v12_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4659,plain,
( ~ v12_altcat_1(k5_waybel34(sk0_0))
| spl0_25 ),
inference(component_clause,[status(thm)],[f4657]) ).
fof(f4660,plain,
( spl0_26
<=> l2_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4661,plain,
( l2_altcat_1(k5_waybel34(sk0_0))
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f4660]) ).
fof(f4662,plain,
( ~ l2_altcat_1(k5_waybel34(sk0_0))
| spl0_26 ),
inference(component_clause,[status(thm)],[f4660]) ).
fof(f4663,plain,
( spl0_27
<=> v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4665,plain,
( ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_27 ),
inference(component_clause,[status(thm)],[f4663]) ).
fof(f4666,plain,
( spl0_28
<=> l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4668,plain,
( ~ l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_28 ),
inference(component_clause,[status(thm)],[f4666]) ).
fof(f4669,plain,
( spl0_29
<=> v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4671,plain,
( ~ v21_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_29 ),
inference(component_clause,[status(thm)],[f4669]) ).
fof(f4672,plain,
( spl0_30
<=> v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4674,plain,
( ~ v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_30 ),
inference(component_clause,[status(thm)],[f4672]) ).
fof(f4675,plain,
( spl0_31
<=> l1_altcat_1(k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4677,plain,
( ~ l1_altcat_1(k5_waybel34(sk0_0))
| spl0_31 ),
inference(component_clause,[status(thm)],[f4675]) ).
fof(f4678,plain,
( spl0_32
<=> l1_altcat_1(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4680,plain,
( ~ l1_altcat_1(k4_waybel34(sk0_0))
| spl0_32 ),
inference(component_clause,[status(thm)],[f4678]) ).
fof(f4681,plain,
( spl0_33
<=> v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4683,plain,
( ~ v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_33 ),
inference(component_clause,[status(thm)],[f4681]) ).
fof(f4684,plain,
( spl0_34
<=> v2_setfam_1(sk0_0) ),
introduced(split_symbol_definition) ).
fof(f4685,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f4684]) ).
fof(f4687,plain,
( ~ v12_altcat_1(k4_waybel34(sk0_0))
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k5_waybel34(sk0_0))
| ~ v2_altcat_1(k5_waybel34(sk0_0))
| ~ v12_altcat_1(k5_waybel34(sk0_0))
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| ~ l2_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))
| ~ v8_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| ~ l1_altcat_1(k5_waybel34(sk0_0))
| ~ l1_altcat_1(k4_waybel34(sk0_0))
| ~ v9_functor0(k15_functor0(k4_waybel34(sk0_0),k5_waybel34(sk0_0),k6_waybel34(sk0_0)),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| v2_setfam_1(sk0_0)
| spl0_0 ),
inference(resolution,[status(thm)],[f4644,f622]) ).
fof(f4688,plain,
( ~ 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_0 ),
inference(split_clause,[status(thm)],[f4687,f4645,f4648,f4651,f4654,f4657,f4660,f4663,f4666,f4669,f4672,f4675,f4678,f4681,f4684,f620]) ).
fof(f4689,plain,
( spl0_35
<=> v3_struct_0(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4690,plain,
( v3_struct_0(k4_waybel34(sk0_0))
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f4689]) ).
fof(f4692,plain,
( v3_struct_0(k4_waybel34(sk0_0))
| ~ l1_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k5_waybel34(sk0_0))
| ~ l1_altcat_1(k5_waybel34(sk0_0))
| ~ l2_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_33 ),
inference(resolution,[status(thm)],[f4683,f291]) ).
fof(f4693,plain,
( spl0_35
| ~ spl0_32
| spl0_23
| ~ spl0_31
| ~ spl0_28
| spl0_33 ),
inference(split_clause,[status(thm)],[f4692,f4689,f4678,f4651,f4675,f4666,f4681]) ).
fof(f4699,plain,
( v1_xboole_0(sk0_0)
| spl0_26 ),
inference(resolution,[status(thm)],[f4662,f312]) ).
fof(f4702,plain,
( v2_setfam_1(sk0_0)
| spl0_26 ),
inference(resolution,[status(thm)],[f4699,f234]) ).
fof(f4703,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f4702,f141]) ).
fof(f4704,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f4703]) ).
fof(f4706,plain,
( v2_setfam_1(sk0_0)
| spl0_25 ),
inference(resolution,[status(thm)],[f4659,f441]) ).
fof(f4707,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f4706,f141]) ).
fof(f4708,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f4707]) ).
fof(f4710,plain,
( v2_setfam_1(sk0_0)
| spl0_24 ),
inference(resolution,[status(thm)],[f4656,f437]) ).
fof(f4711,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f4710,f141]) ).
fof(f4712,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f4711]) ).
fof(f4713,plain,
( v1_xboole_0(sk0_0)
| spl0_22 ),
inference(resolution,[status(thm)],[f4650,f304]) ).
fof(f4716,plain,
( v2_setfam_1(sk0_0)
| spl0_22 ),
inference(resolution,[status(thm)],[f4713,f234]) ).
fof(f4717,plain,
( $false
| spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f4716,f141]) ).
fof(f4718,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f4717]) ).
fof(f4720,plain,
( v2_setfam_1(sk0_0)
| spl0_21 ),
inference(resolution,[status(thm)],[f4647,f421]) ).
fof(f4721,plain,
( $false
| spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f4720,f141]) ).
fof(f4722,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f4721]) ).
fof(f4723,plain,
( spl0_37
<=> v2_altcat_1(k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4725,plain,
( ~ v2_altcat_1(k4_waybel34(sk0_0))
| spl0_37 ),
inference(component_clause,[status(thm)],[f4723]) ).
fof(f4726,plain,
( spl0_38
<=> v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4728,plain,
( ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_38 ),
inference(component_clause,[status(thm)],[f4726]) ).
fof(f4729,plain,
( spl0_39
<=> l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4731,plain,
( ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_39 ),
inference(component_clause,[status(thm)],[f4729]) ).
fof(f4732,plain,
( spl0_40
<=> v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4734,plain,
( ~ v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_40 ),
inference(component_clause,[status(thm)],[f4732]) ).
fof(f4735,plain,
( spl0_41
<=> v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4737,plain,
( ~ v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_41 ),
inference(component_clause,[status(thm)],[f4735]) ).
fof(f4738,plain,
( spl0_42
<=> v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0)) ),
introduced(split_symbol_definition) ).
fof(f4740,plain,
( ~ v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| spl0_42 ),
inference(component_clause,[status(thm)],[f4738]) ).
fof(f4741,plain,
( ~ v12_altcat_1(k5_waybel34(sk0_0))
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| v3_struct_0(k4_waybel34(sk0_0))
| ~ v2_altcat_1(k4_waybel34(sk0_0))
| ~ v12_altcat_1(k4_waybel34(sk0_0))
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| ~ v21_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| ~ v8_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| ~ l1_altcat_1(k4_waybel34(sk0_0))
| ~ l1_altcat_1(k5_waybel34(sk0_0))
| ~ v9_functor0(k15_functor0(k5_waybel34(sk0_0),k4_waybel34(sk0_0),k7_waybel34(sk0_0)),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| v2_setfam_1(sk0_0)
| spl0_1 ),
inference(resolution,[status(thm)],[f625,f4643]) ).
fof(f4742,plain,
( ~ spl0_25
| ~ spl0_26
| spl0_35
| ~ spl0_37
| ~ spl0_21
| ~ spl0_22
| ~ spl0_38
| ~ spl0_39
| ~ spl0_40
| ~ spl0_41
| ~ spl0_32
| ~ spl0_31
| ~ spl0_42
| spl0_34
| spl0_1 ),
inference(split_clause,[status(thm)],[f4741,f4657,f4660,f4689,f4723,f4645,f4648,f4726,f4729,f4732,f4735,f4678,f4675,f4738,f4684,f623]) ).
fof(f4745,plain,
( l1_altcat_1(k5_waybel34(sk0_0))
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f4661,f324]) ).
fof(f4799,plain,
( l1_altcat_1(k4_waybel34(sk0_0))
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f4649,f324]) ).
fof(f4846,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f4652,f436]) ).
fof(f4847,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f4846,f141]) ).
fof(f4848,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f4847]) ).
fof(f4854,plain,
( v2_setfam_1(sk0_0)
| ~ spl0_35 ),
inference(resolution,[status(thm)],[f4690,f416]) ).
fof(f4855,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f4854,f141]) ).
fof(f4856,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f4855]) ).
fof(f4857,plain,
( $false
| ~ spl0_26
| spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f4677,f4745]) ).
fof(f4858,plain,
( ~ spl0_26
| spl0_31 ),
inference(contradiction_clause,[status(thm)],[f4857]) ).
fof(f4859,plain,
( $false
| ~ spl0_22
| spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f4680,f4799]) ).
fof(f4860,plain,
( ~ spl0_22
| spl0_32 ),
inference(contradiction_clause,[status(thm)],[f4859]) ).
fof(f4866,plain,
( v3_struct_0(k5_waybel34(sk0_0))
| ~ l1_altcat_1(k5_waybel34(sk0_0))
| v3_struct_0(k4_waybel34(sk0_0))
| ~ l1_altcat_1(k4_waybel34(sk0_0))
| ~ l2_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| spl0_42 ),
inference(resolution,[status(thm)],[f4740,f291]) ).
fof(f4867,plain,
( spl0_23
| ~ spl0_31
| spl0_35
| ~ spl0_32
| ~ spl0_39
| spl0_42 ),
inference(split_clause,[status(thm)],[f4866,f4651,f4675,f4689,f4678,f4729,f4738]) ).
fof(f4873,plain,
( ~ v8_functor0(k6_waybel34(sk0_0),k4_waybel34(sk0_0),k5_waybel34(sk0_0))
| v2_setfam_1(sk0_0)
| spl0_41 ),
inference(paramodulation,[status(thm)],[f595,f4737]) ).
fof(f4874,plain,
( ~ spl0_27
| spl0_34
| spl0_41 ),
inference(split_clause,[status(thm)],[f4873,f4663,f4684,f4735]) ).
fof(f4875,plain,
( v2_setfam_1(sk0_0)
| spl0_40 ),
inference(resolution,[status(thm)],[f4734,f470]) ).
fof(f4876,plain,
( $false
| spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f4875,f141]) ).
fof(f4877,plain,
spl0_40,
inference(contradiction_clause,[status(thm)],[f4876]) ).
fof(f4907,plain,
( v2_setfam_1(sk0_0)
| ~ v12_altcat_1(k4_waybel34(sk0_0))
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| v3_struct_0(k5_waybel34(sk0_0))
| ~ v12_altcat_1(k5_waybel34(sk0_0))
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| spl0_39 ),
inference(resolution,[status(thm)],[f4731,f2376]) ).
fof(f4908,plain,
( spl0_34
| ~ spl0_21
| ~ spl0_22
| spl0_23
| ~ spl0_25
| ~ spl0_26
| spl0_39 ),
inference(split_clause,[status(thm)],[f4907,f4684,f4645,f4648,f4651,f4657,f4660,f4729]) ).
fof(f4911,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f4685,f141]) ).
fof(f4912,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f4911]) ).
fof(f4926,plain,
( v2_setfam_1(sk0_0)
| spl0_37 ),
inference(resolution,[status(thm)],[f4725,f417]) ).
fof(f4927,plain,
( spl0_34
| spl0_37 ),
inference(split_clause,[status(thm)],[f4926,f4684,f4723]) ).
fof(f4938,plain,
( v2_setfam_1(sk0_0)
| ~ v12_altcat_1(k5_waybel34(sk0_0))
| ~ l2_altcat_1(k5_waybel34(sk0_0))
| v3_struct_0(k4_waybel34(sk0_0))
| ~ v12_altcat_1(k4_waybel34(sk0_0))
| ~ l2_altcat_1(k4_waybel34(sk0_0))
| spl0_28 ),
inference(resolution,[status(thm)],[f4668,f2380]) ).
fof(f4939,plain,
( spl0_34
| ~ spl0_25
| ~ spl0_26
| spl0_35
| ~ spl0_21
| ~ spl0_22
| spl0_28 ),
inference(split_clause,[status(thm)],[f4938,f4684,f4657,f4660,f4689,f4645,f4648,f4666]) ).
fof(f4968,plain,
( v2_setfam_1(sk0_0)
| spl0_27 ),
inference(resolution,[status(thm)],[f4665,f455]) ).
fof(f4969,plain,
( spl0_34
| spl0_27 ),
inference(split_clause,[status(thm)],[f4968,f4684,f4663]) ).
fof(f4982,plain,
( v2_setfam_1(sk0_0)
| spl0_38 ),
inference(resolution,[status(thm)],[f4728,f464]) ).
fof(f4983,plain,
( spl0_34
| spl0_38 ),
inference(split_clause,[status(thm)],[f4982,f4684,f4726]) ).
fof(f4990,plain,
( v2_setfam_1(sk0_0)
| spl0_29 ),
inference(resolution,[status(thm)],[f4671,f461]) ).
fof(f4991,plain,
( spl0_34
| spl0_29 ),
inference(split_clause,[status(thm)],[f4990,f4684,f4669]) ).
fof(f6466,plain,
( ~ v8_functor0(k7_waybel34(sk0_0),k5_waybel34(sk0_0),k4_waybel34(sk0_0))
| v2_setfam_1(sk0_0)
| spl0_30 ),
inference(paramodulation,[status(thm)],[f594,f4674]) ).
fof(f6467,plain,
( ~ spl0_38
| spl0_34
| spl0_30 ),
inference(split_clause,[status(thm)],[f6466,f4726,f4684,f4672]) ).
fof(f6468,plain,
$false,
inference(sat_refutation,[status(thm)],[f626,f4688,f4693,f4704,f4708,f4712,f4718,f4722,f4742,f4848,f4856,f4858,f4860,f4867,f4874,f4877,f4908,f4912,f4927,f4939,f4969,f4983,f4991,f6467]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:41:28 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 14.62/2.25 % Refutation found
% 14.62/2.25 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.62/2.25 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.62/2.28 % Elapsed time: 1.927398 seconds
% 14.62/2.28 % CPU time: 15.091096 seconds
% 14.62/2.28 % Memory used: 176.508 MB
%------------------------------------------------------------------------------