TSTP Solution File: LAT361+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n026.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 : Thu Aug 31 06:18:11 EDT 2023
% Result : Theorem 7.88s 1.65s
% Output : CNFRefutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 183 ( 13 unt; 0 def)
% Number of atoms : 896 ( 111 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1100 ( 387 ~; 438 |; 237 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 29 ( 27 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-5 aty)
% Number of variables : 206 ( 0 sgn; 102 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(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)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> ( k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) = k12_functor0(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)) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( l2_functor0(X2,X0,X1)
& l1_altcat_1(X1)
& l1_altcat_1(X0) )
=> ( v9_functor0(X2,X0,X1)
=> g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v9_functor0) ).
fof(f22,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ( ( v3_yellow21(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ( v2_yellow21(X0)
& v1_altcat_2(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow21) ).
fof(f26,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ( ( v12_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ( v1_altcat_2(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_functor0) ).
fof(f29,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f52,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f53,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f54,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f55,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_waybel34) ).
fof(f59,axiom,
! [X0] :
( l2_altcat_1(X0)
=> l1_altcat_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l2_altcat_1) ).
fof(f65,axiom,
! [X0,X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& ~ v3_struct_0(X1)
& l2_altcat_1(X0)
& v12_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X2] :
( m2_functor0(X2,X0,X1)
=> l2_functor0(X2,X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_functor0) ).
fof(f97,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f99,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f101,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f102,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc8_waybel34) ).
fof(f129,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
& k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f131,axiom,
! [X0] :
( ( l2_altcat_1(X0)
& v1_altcat_2(X0)
& v12_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l2_altcat_1(X1)
& v1_altcat_2(X1)
& v12_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l2_functor0(X2,X0,X1)
& v8_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( l2_functor0(X3,X1,X0)
& v8_functor0(X3,X1,X0) )
=> ( k15_functor0(X0,X1,X2) = g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
=> k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_functor1) ).
fof(f141,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f99]) ).
fof(f142,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f97]) ).
fof(f145,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f142]) ).
fof(f147,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f141]) ).
fof(f149,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f147]) ).
fof(f150,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f145]) ).
fof(f153,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f150]) ).
fof(f156,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f149]) ).
fof(f159,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f153]) ).
fof(f160,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f156]) ).
fof(f180,plain,
? [X0] :
( ( k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(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)) )
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f183,plain,
! [X0,X1,X2] :
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2
| ~ v9_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f184,plain,
! [X0,X1,X2] :
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2
| ~ v9_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0) ),
inference(flattening,[],[f183]) ).
fof(f197,plain,
! [X0] :
( ( v2_yellow21(X0)
& v1_altcat_2(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
| ~ v3_yellow21(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f198,plain,
! [X0] :
( ( v2_yellow21(X0)
& v1_altcat_2(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
| ~ v3_yellow21(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f197]) ).
fof(f203,plain,
! [X0] :
( ( v1_altcat_2(X0)
& ~ v3_struct_0(X0) )
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f204,plain,
! [X0] :
( ( v1_altcat_2(X0)
& ~ v3_struct_0(X0) )
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f203]) ).
fof(f208,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f241,plain,
! [X0] :
( ( l2_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f242,plain,
! [X0] :
( ( l2_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f243,plain,
! [X0] :
( ( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f244,plain,
! [X0] :
( ( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f246,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( l2_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| v3_struct_0(X1)
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f253,plain,
! [X0,X1] :
( ! [X2] :
( l2_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| v3_struct_0(X1)
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f252]) ).
fof(f296,plain,
! [X0] :
( ( v3_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& ~ v3_struct_0(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f297,plain,
! [X0] :
( ( v3_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& ~ v3_struct_0(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f160]) ).
fof(f300,plain,
! [X0] :
( ( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f101]) ).
fof(f301,plain,
! [X0] :
( ( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v16_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v14_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v12_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v11_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
& v6_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f329,plain,
! [X0] :
( ( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
& k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f129]) ).
fof(f331,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X3,X1,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| ~ l2_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f131]) ).
fof(f332,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X3,X1,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1) )
| ~ l2_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1) )
| ~ l2_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f331]) ).
fof(f342,plain,
( ? [X0] :
( ( k13_functor0(k4_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0),k6_waybel34(X0),k7_waybel34(X0)) != k12_functor0(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)) )
& ~ v2_setfam_1(X0) )
=> ( ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0)) )
& ~ v2_setfam_1(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
( ( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0)) )
& ~ v2_setfam_1(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f180,f342]) ).
fof(f411,plain,
~ v2_setfam_1(sK0),
inference(cnf_transformation,[],[f343]) ).
fof(f412,plain,
( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0)) ),
inference(cnf_transformation,[],[f343]) ).
fof(f414,plain,
! [X2,X0,X1] :
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) = X2
| ~ v9_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f441,plain,
! [X0] :
( v1_altcat_2(X0)
| ~ v3_yellow21(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f452,plain,
! [X0] :
( v1_altcat_2(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f459,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f505,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f512,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f515,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f518,plain,
! [X0] :
( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f520,plain,
! [X0] :
( l1_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f525,plain,
! [X2,X0,X1] :
( l2_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| v3_struct_0(X1)
| ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f571,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f572,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f575,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f585,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f586,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f589,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f596,plain,
! [X0] :
( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f597,plain,
! [X0] :
( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f602,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f300]) ).
fof(f604,plain,
! [X0] :
( v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f605,plain,
! [X0] :
( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f610,plain,
! [X0] :
( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f688,plain,
! [X0] :
( k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f689,plain,
! [X0] :
( k6_waybel34(X0) = k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f691,plain,
! [X2,X3,X0,X1] :
( k13_functor0(X1,X0,X1,X3,X2) = k12_functor0(X1)
| k15_functor0(X0,X1,X2) != g2_functor0(X1,X0,u1_functor0(X1,X0,X3),u2_functor0(X1,X0,X3))
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X3,X1,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ l2_functor0(X2,X0,X1)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_altcat_1(X1)
| ~ v1_altcat_2(X1)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ l2_altcat_1(X0)
| ~ v1_altcat_2(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f332]) ).
cnf(c_49,negated_conjecture,
( k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) != k12_functor0(k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) != k12_functor0(k5_waybel34(sK0)) ),
inference(cnf_transformation,[],[f412]) ).
cnf(c_50,negated_conjecture,
~ v2_setfam_1(sK0),
inference(cnf_transformation,[],[f411]) ).
cnf(c_52,plain,
( ~ v9_functor0(X0,X1,X2)
| ~ l2_functor0(X0,X1,X2)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X2)
| g2_functor0(X1,X2,u1_functor0(X1,X2,X0),u2_functor0(X1,X2,X0)) = X0 ),
inference(cnf_transformation,[],[f414]) ).
cnf(c_76,plain,
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_altcat_1(X0)
| ~ v3_yellow21(X0)
| ~ v11_altcat_1(X0)
| v3_struct_0(X0)
| v1_altcat_2(X0) ),
inference(cnf_transformation,[],[f441]) ).
cnf(c_83,plain,
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| v1_altcat_2(X0) ),
inference(cnf_transformation,[],[f452]) ).
cnf(c_90,plain,
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f459]) ).
cnf(c_126,plain,
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f505]) ).
cnf(c_133,plain,
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f512]) ).
cnf(c_140,plain,
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f515]) ).
cnf(c_143,plain,
( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f518]) ).
cnf(c_147,plain,
( ~ l2_altcat_1(X0)
| l1_altcat_1(X0) ),
inference(cnf_transformation,[],[f520]) ).
cnf(c_152,plain,
( ~ m2_functor0(X0,X1,X2)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X1)
| l2_functor0(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(cnf_transformation,[],[f525]) ).
cnf(c_201,plain,
( v12_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f575]) ).
cnf(c_204,plain,
( v2_altcat_1(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f572]) ).
cnf(c_205,plain,
( ~ v3_struct_0(k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f571]) ).
cnf(c_215,plain,
( v12_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f589]) ).
cnf(c_218,plain,
( v2_altcat_1(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f586]) ).
cnf(c_219,plain,
( ~ v3_struct_0(k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f585]) ).
cnf(c_222,plain,
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f602]) ).
cnf(c_227,plain,
( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f597]) ).
cnf(c_228,plain,
( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f596]) ).
cnf(c_230,plain,
( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f610]) ).
cnf(c_235,plain,
( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f605]) ).
cnf(c_236,plain,
( v8_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f604]) ).
cnf(c_315,plain,
( k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f689]) ).
cnf(c_316,plain,
( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f688]) ).
cnf(c_318,plain,
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| ~ l2_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ v21_functor0(X3,X1,X0)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| ~ v1_altcat_2(X0)
| ~ v1_altcat_2(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf_transformation,[],[f691]) ).
cnf(c_331,plain,
( v2_altcat_1(k5_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_218]) ).
cnf(c_334,plain,
( v12_altcat_1(k5_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_215]) ).
cnf(c_338,plain,
( v2_altcat_1(k4_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_204]) ).
cnf(c_341,plain,
( v12_altcat_1(k4_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_201]) ).
cnf(c_352,plain,
( l2_altcat_1(k5_waybel34(sK0))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_133]) ).
cnf(c_358,plain,
( l2_altcat_1(k4_waybel34(sK0))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_126]) ).
cnf(c_361,plain,
( ~ v1_xboole_0(sK0)
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_375,plain,
( ~ v3_struct_0(k5_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_219]) ).
cnf(c_376,plain,
( ~ v3_struct_0(k4_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_205]) ).
cnf(c_398,plain,
( v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_236]) ).
cnf(c_406,plain,
( v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v2_setfam_1(sK0) ),
inference(instantiation,[status(thm)],[c_228]) ).
cnf(c_539,plain,
( ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0)
| v3_struct_0(X0)
| v1_altcat_2(X0) ),
inference(global_subsumption_just,[status(thm)],[c_76,c_83]) ).
cnf(c_540,plain,
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| v3_struct_0(X0)
| v1_altcat_2(X0) ),
inference(renaming,[status(thm)],[c_539]) ).
cnf(c_567,plain,
( ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| ~ v21_functor0(X3,X1,X0)
| ~ v8_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ l2_functor0(X2,X0,X1)
| g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| ~ v1_altcat_2(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(global_subsumption_just,[status(thm)],[c_318,c_83,c_318]) ).
cnf(c_568,plain,
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| ~ l2_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ v21_functor0(X3,X1,X0)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| ~ v1_altcat_2(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(renaming,[status(thm)],[c_567]) ).
cnf(c_763,plain,
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_140]) ).
cnf(c_764,plain,
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_763]) ).
cnf(c_767,plain,
( v2_setfam_1(X0)
| v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_227]) ).
cnf(c_768,plain,
( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_767]) ).
cnf(c_769,plain,
( v2_setfam_1(X0)
| m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_143]) ).
cnf(c_770,plain,
( m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_769]) ).
cnf(c_773,plain,
( v2_setfam_1(X0)
| v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_235]) ).
cnf(c_774,plain,
( v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_773]) ).
cnf(c_783,plain,
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_222]) ).
cnf(c_784,plain,
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_783]) ).
cnf(c_795,plain,
( v2_setfam_1(X0)
| v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(prop_impl_just,[status(thm)],[c_230]) ).
cnf(c_796,plain,
( v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0))
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_795]) ).
cnf(c_811,plain,
( v2_setfam_1(X0)
| k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ),
inference(prop_impl_just,[status(thm)],[c_315]) ).
cnf(c_812,plain,
( k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0)
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_811]) ).
cnf(c_813,plain,
( v2_setfam_1(X0)
| k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ),
inference(prop_impl_just,[status(thm)],[c_316]) ).
cnf(c_814,plain,
( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
| v2_setfam_1(X0) ),
inference(renaming,[status(thm)],[c_813]) ).
cnf(c_1968,plain,
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| ~ l2_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ v21_functor0(X3,X1,X0)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_568,c_540]) ).
cnf(c_5810,plain,
( X0 != sK0
| k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_814]) ).
cnf(c_5811,plain,
k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)) = k7_waybel34(sK0),
inference(unflattening,[status(thm)],[c_5810]) ).
cnf(c_5815,plain,
( X0 != sK0
| k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ),
inference(resolution_lifted,[status(thm)],[c_50,c_812]) ).
cnf(c_5816,plain,
k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)) = k6_waybel34(sK0),
inference(unflattening,[status(thm)],[c_5815]) ).
cnf(c_5855,plain,
( X0 != sK0
| v21_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_796]) ).
cnf(c_5856,plain,
v21_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5855]) ).
cnf(c_5885,plain,
( X0 != sK0
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_784]) ).
cnf(c_5886,plain,
v21_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5885]) ).
cnf(c_5940,plain,
( X0 != sK0
| v9_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_774]) ).
cnf(c_5941,plain,
v9_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5940]) ).
cnf(c_5950,plain,
( X0 != sK0
| m2_functor0(k7_waybel34(X0),k5_waybel34(X0),k4_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_770]) ).
cnf(c_5951,plain,
m2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5950]) ).
cnf(c_5955,plain,
( X0 != sK0
| v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_768]) ).
cnf(c_5956,plain,
v9_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5955]) ).
cnf(c_5965,plain,
( X0 != sK0
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(resolution_lifted,[status(thm)],[c_50,c_764]) ).
cnf(c_5966,plain,
m2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)),
inference(unflattening,[status(thm)],[c_5965]) ).
cnf(c_6385,plain,
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| k4_waybel34(sK0) != X0
| k5_waybel34(sK0) != X1
| k7_waybel34(sK0) != X3
| ~ l2_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_1968,c_5856]) ).
cnf(c_6386,plain,
( g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),X0,k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0)) ),
inference(unflattening,[status(thm)],[c_6385]) ).
cnf(c_6388,plain,
( ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),X0,k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_6386,c_50,c_331,c_334,c_338,c_341,c_352,c_358,c_361,c_375,c_376,c_398,c_6386]) ).
cnf(c_6389,plain,
( g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),X0,k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
inference(renaming,[status(thm)],[c_6388]) ).
cnf(c_6406,plain,
( g2_functor0(X0,X1,u1_functor0(X0,X1,X2),u2_functor0(X0,X1,X2)) != k15_functor0(X1,X0,X3)
| k4_waybel34(sK0) != X1
| k5_waybel34(sK0) != X0
| k6_waybel34(sK0) != X3
| ~ l2_functor0(X2,X0,X1)
| ~ l2_functor0(X3,X1,X0)
| ~ v8_functor0(X2,X0,X1)
| ~ v8_functor0(X3,X1,X0)
| ~ l2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v12_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v2_altcat_1(X1)
| k13_functor0(X0,X1,X0,X2,X3) = k12_functor0(X0)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(resolution_lifted,[status(thm)],[c_1968,c_5886]) ).
cnf(c_6407,plain,
( g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l2_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),X0,k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0)) ),
inference(unflattening,[status(thm)],[c_6406]) ).
cnf(c_6409,plain,
( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),X0,k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
inference(global_subsumption_just,[status(thm)],[c_6407,c_50,c_331,c_334,c_338,c_341,c_352,c_358,c_361,c_375,c_376,c_406,c_6407]) ).
cnf(c_6410,plain,
( g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),X0,k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
inference(renaming,[status(thm)],[c_6409]) ).
cnf(c_7701,plain,
( k4_waybel34(sK0) != X2
| k5_waybel34(sK0) != X1
| k7_waybel34(sK0) != X0
| ~ l2_functor0(X0,X1,X2)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X2)
| g2_functor0(X1,X2,u1_functor0(X1,X2,X0),u2_functor0(X1,X2,X0)) = X0 ),
inference(resolution_lifted,[status(thm)],[c_52,c_5941]) ).
cnf(c_7702,plain,
( ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))) = k7_waybel34(sK0) ),
inference(unflattening,[status(thm)],[c_7701]) ).
cnf(c_7715,plain,
( k4_waybel34(sK0) != X1
| k5_waybel34(sK0) != X2
| k6_waybel34(sK0) != X0
| ~ l2_functor0(X0,X1,X2)
| ~ l1_altcat_1(X1)
| ~ l1_altcat_1(X2)
| g2_functor0(X1,X2,u1_functor0(X1,X2,X0),u2_functor0(X1,X2,X0)) = X0 ),
inference(resolution_lifted,[status(thm)],[c_52,c_5956]) ).
cnf(c_7716,plain,
( ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ l1_altcat_1(k4_waybel34(sK0))
| ~ l1_altcat_1(k5_waybel34(sK0))
| g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))) = k6_waybel34(sK0) ),
inference(unflattening,[status(thm)],[c_7715]) ).
cnf(c_8648,plain,
( k4_waybel34(sK0) != X2
| k5_waybel34(sK0) != X1
| k7_waybel34(sK0) != X0
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X1)
| l2_functor0(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_152,c_5951]) ).
cnf(c_8649,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ v2_altcat_1(k5_waybel34(sK0))
| l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0)) ),
inference(unflattening,[status(thm)],[c_8648]) ).
cnf(c_8650,plain,
l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0)),
inference(global_subsumption_just,[status(thm)],[c_8649,c_50,c_331,c_334,c_341,c_352,c_358,c_361,c_375,c_376,c_8649]) ).
cnf(c_8659,plain,
( k4_waybel34(sK0) != X1
| k5_waybel34(sK0) != X2
| k6_waybel34(sK0) != X0
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X2)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X2)
| ~ v2_altcat_1(X1)
| l2_functor0(X0,X1,X2)
| v3_struct_0(X1)
| v3_struct_0(X2) ),
inference(resolution_lifted,[status(thm)],[c_152,c_5966]) ).
cnf(c_8660,plain,
( ~ l2_altcat_1(k4_waybel34(sK0))
| ~ l2_altcat_1(k5_waybel34(sK0))
| ~ v12_altcat_1(k4_waybel34(sK0))
| ~ v12_altcat_1(k5_waybel34(sK0))
| ~ v2_altcat_1(k4_waybel34(sK0))
| l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| v3_struct_0(k4_waybel34(sK0))
| v3_struct_0(k5_waybel34(sK0)) ),
inference(unflattening,[status(thm)],[c_8659]) ).
cnf(c_8661,plain,
l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0)),
inference(global_subsumption_just,[status(thm)],[c_8660,c_50,c_334,c_338,c_341,c_352,c_358,c_361,c_375,c_376,c_8660]) ).
cnf(c_8845,plain,
( g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)) != k15_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),X0,k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6389,c_8650]) ).
cnf(c_8848,plain,
( g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)) != k15_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),X0,k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_6410,c_8661]) ).
cnf(c_15024,plain,
( g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),X0)) != k7_waybel34(sK0)
| ~ l2_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(X0,k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),X0,k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
inference(light_normalisation,[status(thm)],[c_8848,c_5811]) ).
cnf(c_15033,plain,
( g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),X0)) != k6_waybel34(sK0)
| ~ l2_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(X0,k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),X0,k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
inference(light_normalisation,[status(thm)],[c_8845,c_5816]) ).
cnf(c_25425,plain,
( l1_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_126,c_147]) ).
cnf(c_25426,plain,
( l1_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(superposition,[status(thm)],[c_133,c_147]) ).
cnf(c_25434,plain,
( l1_altcat_1(k5_waybel34(sK0))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_25426]) ).
cnf(c_25435,plain,
( l1_altcat_1(k4_waybel34(sK0))
| v1_xboole_0(sK0) ),
inference(instantiation,[status(thm)],[c_25425]) ).
cnf(c_27409,plain,
( g2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),u1_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0)),u2_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k7_waybel34(sK0))) != k7_waybel34(sK0)
| ~ l2_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| ~ v8_functor0(k7_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0))
| k13_functor0(k5_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0),k7_waybel34(sK0),k6_waybel34(sK0)) = k12_functor0(k5_waybel34(sK0)) ),
inference(instantiation,[status(thm)],[c_15024]) ).
cnf(c_27410,plain,
( g2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),u1_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0)),u2_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k6_waybel34(sK0))) != k6_waybel34(sK0)
| ~ l2_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| ~ v8_functor0(k6_waybel34(sK0),k4_waybel34(sK0),k5_waybel34(sK0))
| k13_functor0(k4_waybel34(sK0),k5_waybel34(sK0),k4_waybel34(sK0),k6_waybel34(sK0),k7_waybel34(sK0)) = k12_functor0(k4_waybel34(sK0)) ),
inference(instantiation,[status(thm)],[c_15033]) ).
cnf(c_27411,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_27410,c_27409,c_25435,c_25434,c_8660,c_8649,c_7716,c_7702,c_49,c_406,c_398,c_376,c_375,c_361,c_358,c_352,c_341,c_338,c_334,c_331,c_50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT361+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Thu Aug 24 07:57:17 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.88/1.65 % SZS status Started for theBenchmark.p
% 7.88/1.65 % SZS status Theorem for theBenchmark.p
% 7.88/1.65
% 7.88/1.65 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.88/1.65
% 7.88/1.65 ------ iProver source info
% 7.88/1.65
% 7.88/1.65 git: date: 2023-05-31 18:12:56 +0000
% 7.88/1.65 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.88/1.65 git: non_committed_changes: false
% 7.88/1.65 git: last_make_outside_of_git: false
% 7.88/1.65
% 7.88/1.65 ------ Parsing...
% 7.88/1.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 72 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 4 sf_s rm: 18 0s sf_e pe_s pe_e
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.88/1.65
% 7.88/1.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.88/1.65 ------ Proving...
% 7.88/1.65 ------ Problem Properties
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 clauses 214
% 7.88/1.65 conjectures 1
% 7.88/1.65 EPR 41
% 7.88/1.65 Horn 149
% 7.88/1.65 unary 78
% 7.88/1.65 binary 32
% 7.88/1.65 lits 741
% 7.88/1.65 lits eq 43
% 7.88/1.65 fd_pure 0
% 7.88/1.65 fd_pseudo 0
% 7.88/1.65 fd_cond 1
% 7.88/1.65 fd_pseudo_cond 8
% 7.88/1.65 AC symbols 0
% 7.88/1.65
% 7.88/1.65 ------ Schedule dynamic 5 is on
% 7.88/1.65
% 7.88/1.65 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 ------
% 7.88/1.65 Current options:
% 7.88/1.65 ------
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 ------ Proving...
% 7.88/1.65
% 7.88/1.65
% 7.88/1.65 % SZS status Theorem for theBenchmark.p
% 7.88/1.65
% 7.88/1.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.88/1.65
% 7.88/1.66
%------------------------------------------------------------------------------