%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:43 PM UTC 2026
% Result : Theorem 3.63s 1.29s
% Output : CNFRefutation 3.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 11
% Syntax : Number of formulae : 110 ( 8 unt; 0 def)
% Number of atoms : 656 ( 7 equ)
% Maximal formula atoms : 23 ( 5 avg)
% Number of connectives : 894 ( 348 ~; 436 |; 89 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 23 ( 21 usr; 1 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 99 ( 0 sgn 98 !; 1 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_waybel34) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f29,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ~ v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f51,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(f52,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(f53,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] :
( ~ v1_xboole_0(X0)
=> ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& ~ v3_struct_0(k8_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(f56,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_waybel34(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f95,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(f118,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0)
& k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f123,axiom,
! [X0] :
( ( l2_altcat_1(X0)
& v12_altcat_1(X0)
& v11_altcat_1(X0)
& v2_altcat_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( l2_altcat_1(X1)
& v12_altcat_1(X1)
& v11_altcat_1(X1)
& v2_altcat_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m2_functor0(X2,X0,X1)
& v16_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( m1_altcat_2(X3,X0)
& v3_altcat_2(X3,X0)
& v2_altcat_1(X3)
& ~ v3_struct_0(X3) )
=> ! [X4] :
( ( m1_altcat_2(X4,X1)
& v3_altcat_2(X4,X1)
& v2_altcat_1(X4)
& ~ v3_struct_0(X4) )
=> ( r3_yellow20(X0,X1,X2,X3,X4)
=> r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_yellow20) ).
fof(f124,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t56_waybel34) ).
fof(f138,plain,
! [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)) ) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f146,plain,
! [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))
& 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)) ) ),
inference(pure_predicate_removal,[],[f138]) ).
fof(f149,plain,
! [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))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f177,plain,
? [X0] :
( ~ v2_setfam_1(X0)
& ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f203,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f231,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f232,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f233,plain,
! [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)) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f235,plain,
! [X0] :
( v1_xboole_0(X0)
| ( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& ~ v3_struct_0(k8_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f236,plain,
! [X0] :
( v2_setfam_1(X0)
| ( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& ~ v3_struct_0(k9_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f277,plain,
! [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))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(ennf_transformation,[],[f149]) ).
fof(f296,plain,
! [X0] :
( v2_setfam_1(X0)
| ( k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0)
& k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f303,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ! [X3] :
( ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3)
| ! [X4] :
( ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ),
inference(ennf_transformation,[],[f123]) ).
fof(f304,plain,
! [X0] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ! [X2] :
( ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ! [X3] :
( ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3)
| ! [X4] :
( ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ),
inference(flattening,[],[f303]) ).
fof(f305,plain,
! [X0] :
( v2_setfam_1(X0)
| r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
inference(ennf_transformation,[],[f124]) ).
fof(f320,plain,
( ~ v2_setfam_1(sK5)
& ~ r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f177]) ).
fof(f359,plain,
~ v2_setfam_1(sK5),
inference(cnf_transformation,[],[f320]) ).
fof(f360,plain,
~ r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5)),
inference(cnf_transformation,[],[f320]) ).
fof(f413,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f474,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f476,plain,
! [X0] :
( v1_xboole_0(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f477,plain,
! [X0] :
( v1_xboole_0(X0)
| v11_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f479,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f480,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f231]) ).
fof(f481,plain,
! [X0] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f483,plain,
! [X0] :
( v1_xboole_0(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f484,plain,
! [X0] :
( v1_xboole_0(X0)
| v11_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f486,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f487,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f232]) ).
fof(f488,plain,
! [X0] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f494,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f495,plain,
! [X0] :
( v1_xboole_0(X0)
| v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f497,plain,
! [X0] :
( v1_xboole_0(X0)
| v2_altcat_1(k8_waybel34(X0)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f498,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k8_waybel34(X0)) ),
inference(cnf_transformation,[],[f235]) ).
fof(f499,plain,
! [X0] :
( v2_setfam_1(X0)
| m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f500,plain,
! [X0] :
( v2_setfam_1(X0)
| v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f502,plain,
! [X0] :
( v2_setfam_1(X0)
| v2_altcat_1(k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f503,plain,
! [X0] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f236]) ).
fof(f570,plain,
! [X0] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f571,plain,
! [X0] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f277]) ).
fof(f642,plain,
! [X0] :
( v2_setfam_1(X0)
| k7_waybel34(X0) = k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) ),
inference(cnf_transformation,[],[f296]) ).
fof(f647,plain,
! [X2,X3,X0,X1,X4] :
( ~ l2_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ l2_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ v21_functor0(X2,X0,X1)
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X3,X0)
| ~ v2_altcat_1(X3)
| v3_struct_0(X3)
| ~ m1_altcat_2(X4,X1)
| ~ v3_altcat_2(X4,X1)
| ~ v2_altcat_1(X4)
| v3_struct_0(X4)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ),
inference(cnf_transformation,[],[f304]) ).
fof(f648,plain,
! [X0] :
( v2_setfam_1(X0)
| r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f305]) ).
tcf(c_49,negated_conjecture,
~ r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5)),
inference(cnf_transformation,[],[f360]) ).
tcf(c_50,negated_conjecture,
~ v2_setfam_1(sK5),
inference(cnf_transformation,[],[f359]) ).
tcf(c_96,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f413]) ).
tcf(c_146,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f480]) ).
tcf(c_147,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f479]) ).
tcf(c_149,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v11_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f477]) ).
tcf(c_150,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v12_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f476]) ).
tcf(c_152,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| l2_altcat_1(k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f474]) ).
tcf(c_153,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f487]) ).
tcf(c_154,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f486]) ).
tcf(c_156,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v11_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f484]) ).
tcf(c_157,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v12_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f483]) ).
tcf(c_159,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| l2_altcat_1(k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f481]) ).
tcf(c_162,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f488]) ).
tcf(c_166,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v3_struct_0(k8_waybel34(X0)) ),
inference(cnf_transformation,[],[f498]) ).
tcf(c_167,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v2_altcat_1(k8_waybel34(X0)) ),
inference(cnf_transformation,[],[f497]) ).
tcf(c_169,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f495]) ).
tcf(c_170,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ),
inference(cnf_transformation,[],[f494]) ).
tcf(c_171,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ~ v3_struct_0(k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f503]) ).
tcf(c_172,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v2_altcat_1(k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f502]) ).
tcf(c_174,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f500]) ).
tcf(c_175,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f499]) ).
tcf(c_245,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f571]) ).
tcf(c_246,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ),
inference(cnf_transformation,[],[f570]) ).
tcf(c_313,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0) ) ),
inference(cnf_transformation,[],[f642]) ).
tcf(c_319,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v3_struct_0(X4)
| v3_struct_0(X3)
| v3_struct_0(X1)
| v3_struct_0(X0)
| r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ v12_altcat_1(X1)
| ~ v12_altcat_1(X0)
| ~ v11_altcat_1(X1)
| ~ v11_altcat_1(X0)
| ~ v2_altcat_1(X4)
| ~ v2_altcat_1(X3)
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ l2_altcat_1(X1)
| ~ l2_altcat_1(X0)
| ~ m1_altcat_2(X4,X1)
| ~ m1_altcat_2(X3,X0)
| ~ v3_altcat_2(X4,X1)
| ~ v3_altcat_2(X3,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ r3_yellow20(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f647]) ).
tcf(c_320,plain,
! [X0: $i] :
( v2_setfam_1(X0)
| r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0)) ),
inference(cnf_transformation,[],[f648]) ).
tcf(c_737,plain,
k15_functor0(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5)) = k7_waybel34(sK5),
inference(superposition,[status(thm)],[c_313,c_50]) ).
tcf(c_879,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v3_struct_0(X0)
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),X1,X0)
| ~ v2_altcat_1(X1)
| ~ v2_altcat_1(X0)
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(X1,k5_waybel34(sK5))
| ~ m1_altcat_2(X0,k4_waybel34(sK5))
| ~ v3_altcat_2(X1,k5_waybel34(sK5))
| ~ v3_altcat_2(X0,k4_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ r3_yellow20(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5),X0,X1) ),
inference(superposition,[status(thm)],[c_737,c_319]) ).
tcf(c_1198,plain,
( v2_setfam_1(sK5)
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_320,c_879]) ).
tcf(c_1266,plain,
( ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1198,c_50,c_49,c_1198]) ).
tcf(c_1267,plain,
( v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1266]) ).
tcf(c_1310,plain,
( v2_setfam_1(sK5)
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_245,c_1267]) ).
tcf(c_1362,plain,
( ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1310,c_50,c_1310]) ).
tcf(c_1363,plain,
( v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1362]) ).
tcf(c_1404,plain,
( v2_setfam_1(sK5)
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_162,c_1363]) ).
tcf(c_1407,plain,
( ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1404,c_50,c_1404]) ).
tcf(c_1408,plain,
( v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1407]) ).
tcf(c_1447,plain,
( v2_setfam_1(sK5)
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_246,c_1408]) ).
tcf(c_1448,plain,
( ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1447,c_50,c_1447]) ).
tcf(c_1449,plain,
( v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1448]) ).
tcf(c_1486,plain,
( v1_xboole_0(sK5)
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_169,c_1449]) ).
tcf(c_1505,plain,
( v1_xboole_0(sK5)
| v3_struct_0(k9_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1486,c_166,c_146,c_153,c_150,c_157,c_149,c_156,c_167,c_147,c_154,c_152,c_159,c_170]) ).
tcf(c_1521,plain,
( v1_xboole_0(sK5)
| v2_setfam_1(sK5)
| v3_struct_0(k9_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_174,c_1505]) ).
tcf(c_1522,plain,
( v1_xboole_0(sK5)
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1521,c_50,c_1521]) ).
tcf(c_1523,plain,
( v1_xboole_0(sK5)
| v3_struct_0(k9_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1522]) ).
tcf(c_1532,plain,
( v1_xboole_0(sK5)
| v2_setfam_1(sK5)
| v3_struct_0(k9_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_175,c_1523]) ).
tcf(c_1533,plain,
( v1_xboole_0(sK5)
| ~ v2_altcat_1(k9_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1532,c_50,c_1532]) ).
tcf(c_1534,plain,
( v1_xboole_0(sK5)
| v3_struct_0(k9_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5)) ),
inference(renaming,[status(thm)],[c_1533]) ).
tcf(c_1541,plain,
( v1_xboole_0(sK5)
| v2_setfam_1(sK5)
| v3_struct_0(k9_waybel34(sK5)) ),
inference(superposition,[status(thm)],[c_172,c_1534]) ).
tcf(c_1542,plain,
( v1_xboole_0(sK5)
| v3_struct_0(k9_waybel34(sK5)) ),
inference(global_subsumption_just,[status(thm)],[c_1541,c_50,c_1541]) ).
tcf(c_1548,plain,
( v1_xboole_0(sK5)
| v2_setfam_1(sK5) ),
inference(superposition,[status(thm)],[c_1542,c_171]) ).
tcf(c_1549,plain,
v1_xboole_0(sK5),
inference(global_subsumption_just,[status(thm)],[c_1548,c_50,c_1548]) ).
tcf(c_1552,plain,
v2_setfam_1(sK5),
inference(superposition,[status(thm)],[c_1549,c_96]) ).
tcf(c_1553,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_50,c_1552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.42 % Computer : n003.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Wed Sep 23 21:29:19 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/0.48 Running first-order theorem proving
% 0.15/0.48 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.50
% 0.23/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.50
% 0.23/0.50 % Detected problem language: tptp
% 0.23/0.51 % Proving...
% 3.63/1.29 % SZS status Started for theBenchmark.p
% 3.63/1.29 % SZS status Theorem for theBenchmark.p
% 3.63/1.29
% 3.63/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.63/1.29
% 3.63/1.29 % ------ iProver source info
% 3.63/1.29
% 3.63/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 3.63/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.63/1.29 % git: non_committed_changes: false
% 3.63/1.29
% 3.63/1.29 % ------ Parsing...
% 3.63/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.63/1.29 % ------ Proving...
% 3.63/1.29 % ------ Problem Properties
% 3.63/1.29
% 3.63/1.29 %
% 3.63/1.29 % clauses 276
% 3.63/1.29 % conjectures 2
% 3.63/1.29 % EPR 131
% 3.63/1.29 % Horn 197
% 3.63/1.29 % unary 50
% 3.63/1.29 % binary 138
% 3.63/1.29 % lits 848
% 3.63/1.29 % lits eq 20
% 3.63/1.29 % fd_pure 0
% 3.63/1.29 % fd_pseudo 0
% 3.63/1.29 % fd_cond 1
% 3.63/1.29 % fd_pseudo_cond 8
% 3.63/1.29 % AC symbols 0
% 3.63/1.29
% 3.63/1.29 % ------ Input Options Time Limit: Unbounded
% 3.63/1.29
% 3.63/1.29
% 3.63/1.29 % ------
% 3.63/1.29 % Current options:
% 3.63/1.29 % ------
% 3.63/1.29
% 3.63/1.29
% 3.63/1.29 %
% 3.63/1.29
% 3.63/1.29 % ------ Proving...
% 3.63/1.29 %
% 3.63/1.29
% 3.63/1.29 % ------ Proving...
% 3.63/1.29 %
% 3.63/1.29
% 3.63/1.29 % SZS status Theorem for theBenchmark.p
% 3.63/1.29
% 3.63/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.63/1.29
% 3.63/1.29
%------------------------------------------------------------------------------