%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 : Tue Sep 29 11:48:42 AM UTC 2026
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 38
% Syntax : Number of formulae : 237 ( 41 unt; 24 def)
% Number of atoms : 912 ( 6 equ)
% Maximal formula atoms : 23 ( 3 avg)
% Number of connectives : 1004 ( 329 ~; 367 |; 258 &)
% ( 21 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 22 prp; 0-5 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-3 aty)
% Number of variables : 103 ( 0 sgn 102 !; 1 ?)
% 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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cc2_setfam_1) ).
fof(f30,axiom,
! [X0] :
( l2_altcat_1(X0)
=> ( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v2_yellow21(X0) )
=> ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v4_yellow18(X0)
& v1_yellow21(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_yellow21) ).
fof(f51,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k4_waybel34) ).
fof(f52,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_waybel34) ).
fof(f53,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_waybel34) ).
fof(f55,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_waybel34) ).
fof(f56,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_waybel34) ).
fof(f91,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v4_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_waybel34) ).
fof(f93,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v4_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_waybel34) ).
fof(f95,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v6_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc7_waybel34) ).
fof(f118,axiom,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_waybel34) ).
fof(f123,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& l2_altcat_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_altcat_1(X1)
& v11_altcat_1(X1)
& v12_altcat_1(X1)
& l2_altcat_1(X1) )
=> ! [X2] :
( ( v16_functor0(X2,X0,X1)
& m2_functor0(X2,X0,X1) )
=> ( v21_functor0(X2,X0,X1)
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v2_altcat_1(X3)
& v3_altcat_2(X3,X0)
& m1_altcat_2(X3,X0) )
=> ! [X4] :
( ( ~ v3_struct_0(X4)
& v2_altcat_1(X4)
& v3_altcat_2(X4,X1)
& m1_altcat_2(X4,X1) )
=> ( r3_yellow20(X0,X1,X2,X3,X4)
=> r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',t56_waybel34) ).
fof(f138,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v12_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f95]) ).
fof(f146,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v8_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f138]) ).
fof(f149,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f146]) ).
fof(f162,plain,
! [X0] :
( l2_altcat_1(X0)
=> ( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v2_yellow21(X0) )
=> ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v1_yellow21(X0) ) ) ),
inference(pure_predicate_removal,[],[f30]) ).
fof(f165,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f93]) ).
fof(f167,plain,
! [X0] :
( ~ v2_setfam_1(X0)
=> ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) ) ),
inference(pure_predicate_removal,[],[f91]) ).
fof(f177,plain,
? [X0] :
( ~ r3_yellow20(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0),k9_waybel34(X0),k8_waybel34(X0))
& ~ v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f203,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f204,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v1_yellow21(X0) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_yellow21(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f162]) ).
fof(f205,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v1_yellow21(X0) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_yellow21(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f204]) ).
fof(f231,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& l2_altcat_1(k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f232,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& l2_altcat_1(k5_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f233,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f235,plain,
! [X0] :
( ( ~ v3_struct_0(k8_waybel34(X0))
& v2_altcat_1(k8_waybel34(X0))
& v6_altcat_1(k8_waybel34(X0))
& v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
& m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0)) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f236,plain,
! [X0] :
( ( ~ v3_struct_0(k9_waybel34(X0))
& v2_altcat_1(k9_waybel34(X0))
& v6_altcat_1(k9_waybel34(X0))
& v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
& m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f273,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f167]) ).
fof(f274,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f165]) ).
fof(f277,plain,
! [X0] :
( ( v9_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v11_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v14_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
& v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0)) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f149]) ).
fof(f296,plain,
! [X0] :
( ( k15_functor0(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0)) = k7_waybel34(X0)
& k15_functor0(k5_waybel34(X0),k4_waybel34(X0),k7_waybel34(X0)) = k6_waybel34(X0) )
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f303,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1) )
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(ennf_transformation,[],[f123]) ).
fof(f304,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1) )
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0) )
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1) )
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(flattening,[],[f303]) ).
fof(f305,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(ennf_transformation,[],[f124]) ).
fof(f312,definition,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v1_yellow21(X0) )
| ~ sP1(X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f313,plain,
! [X0] :
( sP1(X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ v2_yellow21(X0)
| ~ l2_altcat_1(X0) ),
inference(definition_folding,[],[f205,f312]) ).
fof(f316,definition,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) )
| ~ sP3(X0) ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f317,plain,
! [X0] :
( sP3(X0)
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f273,f316]) ).
fof(f318,definition,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) )
| ~ sP4(X0) ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f319,plain,
! [X0] :
( sP4(X0)
| v2_setfam_1(X0) ),
inference(definition_folding,[],[f274,f318]) ).
fof(f320,plain,
( ~ r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
& ~ v2_setfam_1(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f177]) ).
fof(f323,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_altcat_1(X0)
& v9_altcat_1(X0)
& v11_altcat_1(X0)
& v12_altcat_1(X0)
& v1_altcat_2(X0)
& v2_yellow18(X0)
& v3_yellow18(X0)
& v1_yellow21(X0) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f312]) ).
fof(f339,plain,
! [X0] :
( ( ~ v3_struct_0(k4_waybel34(X0))
& v2_altcat_1(k4_waybel34(X0))
& v6_altcat_1(k4_waybel34(X0))
& v9_altcat_1(k4_waybel34(X0))
& v11_altcat_1(k4_waybel34(X0))
& v12_altcat_1(k4_waybel34(X0))
& v1_altcat_2(k4_waybel34(X0))
& v2_yellow18(k4_waybel34(X0))
& v3_yellow18(k4_waybel34(X0))
& v1_yellow21(k4_waybel34(X0))
& v2_yellow21(k4_waybel34(X0))
& v3_yellow21(k4_waybel34(X0)) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f316]) ).
fof(f340,plain,
! [X0] :
( ( ~ v3_struct_0(k5_waybel34(X0))
& v2_altcat_1(k5_waybel34(X0))
& v6_altcat_1(k5_waybel34(X0))
& v9_altcat_1(k5_waybel34(X0))
& v11_altcat_1(k5_waybel34(X0))
& v12_altcat_1(k5_waybel34(X0))
& v1_altcat_2(k5_waybel34(X0))
& v2_yellow18(k5_waybel34(X0))
& v3_yellow18(k5_waybel34(X0))
& v1_yellow21(k5_waybel34(X0))
& v2_yellow21(k5_waybel34(X0))
& v3_yellow21(k5_waybel34(X0)) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f318]) ).
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] :
( ~ v1_xboole_0(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f422,plain,
! [X0] :
( ~ sP1(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f423,plain,
! [X0] :
( ~ v2_yellow21(X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| sP1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f313]) ).
fof(f474,plain,
! [X0] :
( l2_altcat_1(k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f481,plain,
! [X0] :
( l2_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f483,plain,
! [X0] :
( v12_altcat_1(k5_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f488,plain,
! [X0] :
( m2_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f489,plain,
! [X0] :
( v16_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f233]) ).
fof(f494,plain,
! [X0] :
( m1_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f495,plain,
! [X0] :
( v3_altcat_2(k8_waybel34(X0),k4_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f497,plain,
! [X0] :
( v2_altcat_1(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f498,plain,
! [X0] :
( ~ v3_struct_0(k8_waybel34(X0))
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f499,plain,
! [X0] :
( m1_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f500,plain,
! [X0] :
( v3_altcat_2(k9_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f502,plain,
! [X0] :
( v2_altcat_1(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f503,plain,
! [X0] :
( ~ v3_struct_0(k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f537,plain,
! [X0] :
( v2_yellow21(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f542,plain,
! [X0] :
( v12_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f543,plain,
! [X0] :
( v11_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f546,plain,
! [X0] :
( v2_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f547,plain,
! [X0] :
( ~ v3_struct_0(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f339]) ).
fof(f548,plain,
! [X0] :
( sP3(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f317]) ).
fof(f562,plain,
! [X0] :
( v11_altcat_1(k5_waybel34(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f565,plain,
! [X0] :
( v2_altcat_1(k5_waybel34(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f566,plain,
! [X0] :
( ~ v3_struct_0(k5_waybel34(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f340]) ).
fof(f567,plain,
! [X0] :
( sP4(X0)
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f570,plain,
! [X0] :
( v21_functor0(k6_waybel34(X0),k4_waybel34(X0),k5_waybel34(X0))
| v2_setfam_1(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] :
( r3_yellow20(X1,X0,k15_functor0(X0,X1,X2),X4,X3)
| ~ r3_yellow20(X0,X1,X2,X3,X4)
| v3_struct_0(X4)
| ~ v2_altcat_1(X4)
| ~ v3_altcat_2(X4,X1)
| ~ m1_altcat_2(X4,X1)
| v3_struct_0(X3)
| ~ v2_altcat_1(X3)
| ~ v3_altcat_2(X3,X0)
| ~ m1_altcat_2(X3,X0)
| ~ v21_functor0(X2,X0,X1)
| ~ v16_functor0(X2,X0,X1)
| ~ m2_functor0(X2,X0,X1)
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v11_altcat_1(X1)
| ~ v12_altcat_1(X1)
| ~ l2_altcat_1(X1)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v11_altcat_1(X0)
| ~ v12_altcat_1(X0)
| ~ l2_altcat_1(X0) ),
inference(cnf_transformation,[],[f304]) ).
fof(f648,plain,
! [X0] :
( r3_yellow20(k4_waybel34(X0),k5_waybel34(X0),k6_waybel34(X0),k8_waybel34(X0),k9_waybel34(X0))
| v2_setfam_1(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f906,plain,
k7_waybel34(sK5) = k15_functor0(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5)),
inference(resolution,[],[f642,f359]) ).
fof(f938,plain,
! [X0] :
( v3_struct_0(k4_waybel34(X0))
| ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| sP1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(resolution,[],[f423,f537]) ).
fof(f945,plain,
! [X0] :
( ~ v2_altcat_1(k4_waybel34(X0))
| ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| sP1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(forward_subsumption_resolution,[],[f938,f547]) ).
fof(f950,plain,
! [X0] :
( ~ v11_altcat_1(k4_waybel34(X0))
| ~ v12_altcat_1(k4_waybel34(X0))
| sP1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(forward_subsumption_resolution,[],[f945,f546]) ).
fof(f955,plain,
! [X0] :
( ~ v12_altcat_1(k4_waybel34(X0))
| sP1(k4_waybel34(X0))
| ~ l2_altcat_1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(forward_subsumption_resolution,[],[f950,f543]) ).
fof(f960,plain,
! [X0] :
( ~ l2_altcat_1(k4_waybel34(X0))
| sP1(k4_waybel34(X0))
| ~ sP3(X0) ),
inference(forward_subsumption_resolution,[],[f955,f542]) ).
fof(f1012,definition,
( spl36_3
<=> v3_struct_0(k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_3])],[avatar_definition]) ).
fof(f1014,plain,
( v3_struct_0(k5_waybel34(sK5))
| ~ spl36_3 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1020,definition,
( spl36_5
<=> v3_struct_0(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_5])],[avatar_definition]) ).
fof(f1340,plain,
! [X0,X1] :
( r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),X0,X1)
| ~ r3_yellow20(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5),X1,X0)
| v3_struct_0(X0)
| ~ v2_altcat_1(X0)
| ~ v3_altcat_2(X0,k5_waybel34(sK5))
| ~ m1_altcat_2(X0,k5_waybel34(sK5))
| v3_struct_0(X1)
| ~ v2_altcat_1(X1)
| ~ v3_altcat_2(X1,k4_waybel34(sK5))
| ~ m1_altcat_2(X1,k4_waybel34(sK5))
| ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| v3_struct_0(k5_waybel34(sK5))
| ~ v2_altcat_1(k5_waybel34(sK5))
| ~ v11_altcat_1(k5_waybel34(sK5))
| ~ v12_altcat_1(k5_waybel34(sK5))
| ~ l2_altcat_1(k5_waybel34(sK5))
| v3_struct_0(k4_waybel34(sK5))
| ~ v2_altcat_1(k4_waybel34(sK5))
| ~ v11_altcat_1(k4_waybel34(sK5))
| ~ v12_altcat_1(k4_waybel34(sK5))
| ~ l2_altcat_1(k4_waybel34(sK5)) ),
inference(superposition,[],[f647,f906]) ).
fof(f1342,definition,
( spl36_9
<=> l2_altcat_1(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f1343,plain,
( l2_altcat_1(k4_waybel34(sK5))
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1344,plain,
( ~ l2_altcat_1(k4_waybel34(sK5))
| spl36_9 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1346,definition,
( spl36_10
<=> v12_altcat_1(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f1348,plain,
( ~ v12_altcat_1(k4_waybel34(sK5))
| spl36_10 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1350,definition,
( spl36_11
<=> v11_altcat_1(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f1352,plain,
( ~ v11_altcat_1(k4_waybel34(sK5))
| spl36_11 ),
inference(avatar_component_clause,[],[f1350]) ).
fof(f1354,definition,
( spl36_12
<=> v2_altcat_1(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_12])],[avatar_definition]) ).
fof(f1356,plain,
( ~ v2_altcat_1(k4_waybel34(sK5))
| spl36_12 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1358,definition,
( spl36_13
<=> l2_altcat_1(k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_13])],[avatar_definition]) ).
fof(f1360,plain,
( ~ l2_altcat_1(k5_waybel34(sK5))
| spl36_13 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1362,definition,
( spl36_14
<=> v12_altcat_1(k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_14])],[avatar_definition]) ).
fof(f1364,plain,
( ~ v12_altcat_1(k5_waybel34(sK5))
| spl36_14 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1366,definition,
( spl36_15
<=> v11_altcat_1(k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f1368,plain,
( ~ v11_altcat_1(k5_waybel34(sK5))
| spl36_15 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1370,definition,
( spl36_16
<=> v2_altcat_1(k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_16])],[avatar_definition]) ).
fof(f1372,plain,
( ~ v2_altcat_1(k5_waybel34(sK5))
| spl36_16 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1374,definition,
( spl36_17
<=> m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f1376,plain,
( ~ m2_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| spl36_17 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1378,definition,
( spl36_18
<=> v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f1380,plain,
( ~ v16_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| spl36_18 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1382,definition,
( spl36_19
<=> v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_19])],[avatar_definition]) ).
fof(f1384,plain,
( ~ v21_functor0(k6_waybel34(sK5),k4_waybel34(sK5),k5_waybel34(sK5))
| spl36_19 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f1386,definition,
( spl36_20
<=> ! [X0,X1] :
( r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),X0,X1)
| ~ m1_altcat_2(X1,k4_waybel34(sK5))
| ~ v3_altcat_2(X1,k4_waybel34(sK5))
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ m1_altcat_2(X0,k5_waybel34(sK5))
| ~ v3_altcat_2(X0,k5_waybel34(sK5))
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| ~ r3_yellow20(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5),X1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl36_20])],[avatar_definition]) ).
fof(f1387,plain,
( ! [X0,X1] :
( ~ r3_yellow20(k4_waybel34(sK5),k5_waybel34(sK5),k6_waybel34(sK5),X1,X0)
| ~ m1_altcat_2(X1,k4_waybel34(sK5))
| ~ v3_altcat_2(X1,k4_waybel34(sK5))
| ~ v2_altcat_1(X1)
| v3_struct_0(X1)
| ~ m1_altcat_2(X0,k5_waybel34(sK5))
| ~ v3_altcat_2(X0,k5_waybel34(sK5))
| ~ v2_altcat_1(X0)
| v3_struct_0(X0)
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),X0,X1) )
| ~ spl36_20 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1388,plain,
( ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| spl36_5
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| spl36_3
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| spl36_20 ),
inference(avatar_split_clause,[],[f1340,f1386,f1382,f1378,f1374,f1012,f1370,f1366,f1362,f1358,f1020,f1354,f1350,f1346,f1342]) ).
fof(f1405,plain,
( v1_xboole_0(sK5)
| spl36_9 ),
inference(resolution,[],[f1344,f474]) ).
fof(f1415,plain,
( v2_setfam_1(sK5)
| spl36_9 ),
inference(resolution,[],[f1405,f413]) ).
fof(f1418,plain,
( $false
| spl36_9 ),
inference(forward_subsumption_resolution,[],[f1415,f359]) ).
fof(f1419,plain,
spl36_9,
inference(avatar_contradiction_clause,[],[f1418]) ).
fof(f1424,plain,
( ~ sP3(sK5)
| spl36_10 ),
inference(resolution,[],[f1348,f542]) ).
fof(f1427,plain,
( v2_setfam_1(sK5)
| spl36_10 ),
inference(resolution,[],[f1424,f548]) ).
fof(f1428,plain,
( $false
| spl36_10 ),
inference(forward_subsumption_resolution,[],[f1427,f359]) ).
fof(f1429,plain,
spl36_10,
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1439,plain,
( ~ sP3(sK5)
| spl36_11 ),
inference(resolution,[],[f1352,f543]) ).
fof(f1441,plain,
( v2_setfam_1(sK5)
| spl36_11 ),
inference(resolution,[],[f1439,f548]) ).
fof(f1442,plain,
( $false
| spl36_11 ),
inference(forward_subsumption_resolution,[],[f1441,f359]) ).
fof(f1443,plain,
spl36_11,
inference(avatar_contradiction_clause,[],[f1442]) ).
fof(f1445,plain,
( ~ sP3(sK5)
| spl36_12 ),
inference(resolution,[],[f1356,f546]) ).
fof(f1448,plain,
( v2_setfam_1(sK5)
| spl36_12 ),
inference(resolution,[],[f1445,f548]) ).
fof(f1449,plain,
( $false
| spl36_12 ),
inference(forward_subsumption_resolution,[],[f1448,f359]) ).
fof(f1450,plain,
spl36_12,
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1464,plain,
( v1_xboole_0(sK5)
| spl36_13 ),
inference(resolution,[],[f1360,f481]) ).
fof(f1474,plain,
( v2_setfam_1(sK5)
| spl36_13 ),
inference(resolution,[],[f1464,f413]) ).
fof(f1477,plain,
( $false
| spl36_13 ),
inference(forward_subsumption_resolution,[],[f1474,f359]) ).
fof(f1478,plain,
spl36_13,
inference(avatar_contradiction_clause,[],[f1477]) ).
fof(f1486,plain,
( v1_xboole_0(sK5)
| spl36_14 ),
inference(resolution,[],[f1364,f483]) ).
fof(f1490,definition,
( spl36_26
<=> sP4(sK5) ),
introduced(definition,[new_symbols(definition,[spl36_26])],[avatar_definition]) ).
fof(f1491,plain,
( sP4(sK5)
| ~ spl36_26 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1492,plain,
( ~ sP4(sK5)
| spl36_26 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1500,plain,
( sP1(k4_waybel34(sK5))
| ~ sP3(sK5)
| ~ spl36_9 ),
inference(resolution,[],[f960,f1343]) ).
fof(f1502,definition,
( spl36_28
<=> sP3(sK5) ),
introduced(definition,[new_symbols(definition,[spl36_28])],[avatar_definition]) ).
fof(f1504,plain,
( ~ sP3(sK5)
| spl36_28 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1506,definition,
( spl36_29
<=> sP1(k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_29])],[avatar_definition]) ).
fof(f1508,plain,
( sP1(k4_waybel34(sK5))
| ~ spl36_29 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1509,plain,
( ~ spl36_28
| spl36_29
| ~ spl36_9 ),
inference(avatar_split_clause,[],[f1500,f1342,f1506,f1502]) ).
fof(f1517,plain,
( v2_setfam_1(sK5)
| spl36_14 ),
inference(resolution,[],[f1486,f413]) ).
fof(f1520,plain,
( $false
| spl36_14 ),
inference(forward_subsumption_resolution,[],[f1517,f359]) ).
fof(f1521,plain,
spl36_14,
inference(avatar_contradiction_clause,[],[f1520]) ).
fof(f1522,plain,
( v2_setfam_1(sK5)
| spl36_26 ),
inference(resolution,[],[f1492,f567]) ).
fof(f1523,plain,
( $false
| spl36_26 ),
inference(forward_subsumption_resolution,[],[f1522,f359]) ).
fof(f1524,plain,
spl36_26,
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1526,plain,
( v2_setfam_1(sK5)
| spl36_28 ),
inference(resolution,[],[f1504,f548]) ).
fof(f1527,plain,
( $false
| spl36_28 ),
inference(forward_subsumption_resolution,[],[f1526,f359]) ).
fof(f1528,plain,
spl36_28,
inference(avatar_contradiction_clause,[],[f1527]) ).
fof(f1537,plain,
( ~ sP4(sK5)
| ~ spl36_3 ),
inference(resolution,[],[f1014,f566]) ).
fof(f1539,plain,
( $false
| ~ spl36_3
| ~ spl36_26 ),
inference(forward_subsumption_resolution,[],[f1537,f1491]) ).
fof(f1540,plain,
( ~ spl36_3
| ~ spl36_26 ),
inference(avatar_contradiction_clause,[],[f1539]) ).
fof(f1542,plain,
( ~ sP4(sK5)
| spl36_15 ),
inference(resolution,[],[f1368,f562]) ).
fof(f1544,plain,
( $false
| spl36_15
| ~ spl36_26 ),
inference(forward_subsumption_resolution,[],[f1542,f1491]) ).
fof(f1545,plain,
( spl36_15
| ~ spl36_26 ),
inference(avatar_contradiction_clause,[],[f1544]) ).
fof(f1547,plain,
( ~ sP4(sK5)
| spl36_16 ),
inference(resolution,[],[f1372,f565]) ).
fof(f1549,plain,
( $false
| spl36_16
| ~ spl36_26 ),
inference(forward_subsumption_resolution,[],[f1547,f1491]) ).
fof(f1550,plain,
( spl36_16
| ~ spl36_26 ),
inference(avatar_contradiction_clause,[],[f1549]) ).
fof(f1576,plain,
( ~ v3_struct_0(k4_waybel34(sK5))
| ~ spl36_29 ),
inference(resolution,[],[f1508,f422]) ).
fof(f1577,plain,
( ~ spl36_5
| ~ spl36_29 ),
inference(avatar_split_clause,[],[f1576,f1506,f1020]) ).
fof(f1595,plain,
( v2_setfam_1(sK5)
| spl36_17 ),
inference(resolution,[],[f1376,f488]) ).
fof(f1596,plain,
( $false
| spl36_17 ),
inference(forward_subsumption_resolution,[],[f1595,f359]) ).
fof(f1597,plain,
spl36_17,
inference(avatar_contradiction_clause,[],[f1596]) ).
fof(f1667,plain,
( v2_setfam_1(sK5)
| spl36_18 ),
inference(resolution,[],[f1380,f489]) ).
fof(f1668,plain,
( $false
| spl36_18 ),
inference(forward_subsumption_resolution,[],[f1667,f359]) ).
fof(f1669,plain,
spl36_18,
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1694,plain,
( v2_setfam_1(sK5)
| spl36_19 ),
inference(resolution,[],[f1384,f570]) ).
fof(f1695,plain,
( $false
| spl36_19 ),
inference(forward_subsumption_resolution,[],[f1694,f359]) ).
fof(f1696,plain,
spl36_19,
inference(avatar_contradiction_clause,[],[f1695]) ).
fof(f1908,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| ~ m1_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(resolution,[],[f1387,f648]) ).
fof(f1909,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| ~ v3_altcat_2(k9_waybel34(sK5),k5_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1908,f499]) ).
fof(f1910,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| ~ v2_altcat_1(k9_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1909,f500]) ).
fof(f1911,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| v3_struct_0(k9_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1910,f502]) ).
fof(f1912,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| r3_yellow20(k5_waybel34(sK5),k4_waybel34(sK5),k7_waybel34(sK5),k9_waybel34(sK5),k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1911,f503]) ).
fof(f1913,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| v2_setfam_1(sK5)
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1912,f360]) ).
fof(f1914,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| ~ v2_altcat_1(k8_waybel34(sK5))
| v3_struct_0(k8_waybel34(sK5))
| ~ spl36_20 ),
inference(forward_subsumption_resolution,[],[f1913,f359]) ).
fof(f1916,definition,
( spl36_52
<=> v3_struct_0(k8_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_52])],[avatar_definition]) ).
fof(f1918,plain,
( v3_struct_0(k8_waybel34(sK5))
| ~ spl36_52 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1920,definition,
( spl36_53
<=> v2_altcat_1(k8_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_53])],[avatar_definition]) ).
fof(f1922,plain,
( ~ v2_altcat_1(k8_waybel34(sK5))
| spl36_53 ),
inference(avatar_component_clause,[],[f1920]) ).
fof(f1924,definition,
( spl36_54
<=> v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_54])],[avatar_definition]) ).
fof(f1926,plain,
( ~ v3_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| spl36_54 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f1928,definition,
( spl36_55
<=> m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5)) ),
introduced(definition,[new_symbols(definition,[spl36_55])],[avatar_definition]) ).
fof(f1930,plain,
( ~ m1_altcat_2(k8_waybel34(sK5),k4_waybel34(sK5))
| spl36_55 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1931,plain,
( spl36_52
| ~ spl36_53
| ~ spl36_54
| ~ spl36_55
| ~ spl36_20 ),
inference(avatar_split_clause,[],[f1914,f1386,f1928,f1924,f1920,f1916]) ).
fof(f1932,plain,
( v1_xboole_0(sK5)
| spl36_53 ),
inference(resolution,[],[f1922,f497]) ).
fof(f1940,plain,
( v2_setfam_1(sK5)
| spl36_53 ),
inference(resolution,[],[f1932,f413]) ).
fof(f1943,plain,
( $false
| spl36_53 ),
inference(forward_subsumption_resolution,[],[f1940,f359]) ).
fof(f1944,plain,
spl36_53,
inference(avatar_contradiction_clause,[],[f1943]) ).
fof(f1945,plain,
( v1_xboole_0(sK5)
| spl36_54 ),
inference(resolution,[],[f1926,f495]) ).
fof(f1953,plain,
( v2_setfam_1(sK5)
| spl36_54 ),
inference(resolution,[],[f1945,f413]) ).
fof(f1956,plain,
( $false
| spl36_54 ),
inference(forward_subsumption_resolution,[],[f1953,f359]) ).
fof(f1957,plain,
spl36_54,
inference(avatar_contradiction_clause,[],[f1956]) ).
fof(f2122,plain,
( v1_xboole_0(sK5)
| spl36_55 ),
inference(resolution,[],[f1930,f494]) ).
fof(f2130,plain,
( v2_setfam_1(sK5)
| spl36_55 ),
inference(resolution,[],[f2122,f413]) ).
fof(f2133,plain,
( $false
| spl36_55 ),
inference(forward_subsumption_resolution,[],[f2130,f359]) ).
fof(f2134,plain,
spl36_55,
inference(avatar_contradiction_clause,[],[f2133]) ).
fof(f2135,plain,
( v1_xboole_0(sK5)
| ~ spl36_52 ),
inference(resolution,[],[f1918,f498]) ).
fof(f2143,plain,
( v2_setfam_1(sK5)
| ~ spl36_52 ),
inference(resolution,[],[f2135,f413]) ).
fof(f2146,plain,
( $false
| ~ spl36_52 ),
inference(forward_subsumption_resolution,[],[f2143,f359]) ).
fof(f2147,plain,
~ spl36_52,
inference(avatar_contradiction_clause,[],[f2146]) ).
cnf(s7,plain,
( spl36_3
| spl36_5
| ~ spl36_9
| ~ spl36_10
| ~ spl36_11
| ~ spl36_12
| ~ spl36_13
| ~ spl36_14
| ~ spl36_15
| ~ spl36_16
| ~ spl36_17
| ~ spl36_18
| ~ spl36_19
| spl36_20 ),
inference(sat_conversion,[],[f1388]) ).
cnf(s9,plain,
spl36_9,
inference(sat_conversion,[],[f1419]) ).
cnf(s10,plain,
spl36_10,
inference(sat_conversion,[],[f1429]) ).
cnf(s12,plain,
spl36_11,
inference(sat_conversion,[],[f1443]) ).
cnf(s13,plain,
spl36_12,
inference(sat_conversion,[],[f1450]) ).
cnf(s14,plain,
spl36_13,
inference(sat_conversion,[],[f1478]) ).
cnf(s17,plain,
( ~ spl36_9
| ~ spl36_28
| spl36_29 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s18,plain,
spl36_14,
inference(sat_conversion,[],[f1521]) ).
cnf(s19,plain,
spl36_26,
inference(sat_conversion,[],[f1524]) ).
cnf(s20,plain,
spl36_28,
inference(sat_conversion,[],[f1528]) ).
cnf(s22,plain,
( ~ spl36_3
| ~ spl36_26 ),
inference(sat_conversion,[],[f1540]) ).
cnf(s23,plain,
( spl36_15
| ~ spl36_26 ),
inference(sat_conversion,[],[f1545]) ).
cnf(s24,plain,
( spl36_16
| ~ spl36_26 ),
inference(sat_conversion,[],[f1550]) ).
cnf(s26,plain,
( ~ spl36_5
| ~ spl36_29 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s27,plain,
spl36_17,
inference(sat_conversion,[],[f1597]) ).
cnf(s33,plain,
spl36_18,
inference(sat_conversion,[],[f1669]) ).
cnf(s34,plain,
spl36_19,
inference(sat_conversion,[],[f1696]) ).
cnf(s48,plain,
( ~ spl36_20
| spl36_52
| ~ spl36_53
| ~ spl36_54
| ~ spl36_55 ),
inference(sat_conversion,[],[f1931]) ).
cnf(s49,plain,
spl36_53,
inference(sat_conversion,[],[f1944]) ).
cnf(s50,plain,
spl36_54,
inference(sat_conversion,[],[f1957]) ).
cnf(s65,plain,
spl36_55,
inference(sat_conversion,[],[f2134]) ).
cnf(s66,plain,
~ spl36_52,
inference(sat_conversion,[],[f2147]) ).
cnf(s81,plain,
~ spl36_20,
inference(rat,[],[s48,s65,s50,s49,s66]) ).
cnf(s82,plain,
spl36_16,
inference(rat,[],[s24,s19]) ).
cnf(s83,plain,
spl36_15,
inference(rat,[],[s23,s19]) ).
cnf(s84,plain,
~ spl36_3,
inference(rat,[],[s22,s19]) ).
cnf(s85,plain,
( ~ spl36_9
| spl36_29 ),
inference(rat,[],[s17,s20]) ).
cnf(s89,plain,
spl36_29,
inference(rat,[],[s85,s9]) ).
cnf(s90,plain,
~ spl36_5,
inference(rat,[],[s26,s89]) ).
cnf(s100,plain,
$false,
inference(rat,[],[s7,s81,s34,s33,s27,s82,s83,s18,s14,s13,s12,s10,s9,s90,s84]) ).
fof(f2148,plain,
$false,
inference(avatar_sat_refutation,[],[s100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT376+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 15:11:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % (3642823)Will run a generic schedule for satisfiability detection.
% 0.18/0.48 % (3642831)dis+10_1_sil=32000:sp=arity:random_seed=247558562:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.48 % (3642829)% WARNING: option uhcvi not known.
% 0.18/0.48 % (3642828)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2502314544_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.48 % (3642830)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4117528767:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.48 % (3642832)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2635228307:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.48 % (3642829)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3564631535:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.48 % (3642833)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2946848501:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.48 % (3642834)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2079585466:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.48 % (3642831) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3642823-3642831"...
% 0.18/0.48 % (3642831)...printing done.
% 0.18/0.48 % (3642831)Refutation found. Thanks to Tanya!
% 0.18/0.48 % SZS status Theorem for theBenchmark
% 0.18/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48 % (3642831)------------------------------
% 0.18/0.48 % (3642831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.48 % (3642831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.48 % (3642831)CaDiCaL version: 2.1.3
% 0.18/0.48 % (3642831)Termination reason: Refutation
% 0.18/0.48 % (3642831)Time elapsed: 0.026 s
% 0.18/0.48 % (3642831)Peak memory usage: 13 MB
% 0.18/0.48 % (3642831)Instructions burned: 72 (million)
% 0.18/0.48 % (3642823)Success in time 0.059 s
% 0.18/0.48 % Vampire exiting
%------------------------------------------------------------------------------