TSTP Solution File: LAT351+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 : Fri May 3 02:35:26 EDT 2024
% Result : Theorem 7.50s 1.60s
% Output : CNFRefutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 117 ( 50 unt; 0 def)
% Number of atoms : 658 ( 36 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 827 ( 286 ~; 251 |; 278 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 2 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 122 ( 9 sgn 64 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( ( l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( k1_card_1(X2) = k1_card_1(X0)
& r1_waybel22(X1,X2) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( ( l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2] :
( ( k1_card_1(X2) = k1_card_1(X0)
& r1_waybel22(X1,X2) )
=> r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0)))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f19,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f34,axiom,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_waybel22) ).
fof(f42,axiom,
! [X0] :
( l1_orders_2(k2_yellow_1(X0))
& v1_orders_2(k2_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(f44,axiom,
! [X0] :
( l1_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(f66,axiom,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v11_waybel_1(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(f71,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
fof(f111,axiom,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
fof(f112,axiom,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel22) ).
fof(f113,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_waybel_3(X0)
& v3_lattice3(X0)
& v2_lattice3(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ! [X2,X3] :
( ( k1_card_1(X2) = k1_card_1(X3)
& r1_waybel22(X1,X3)
& r1_waybel22(X0,X2) )
=> r5_waybel_1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_waybel22) ).
fof(f125,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v10_waybel_1(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f66]) ).
fof(f126,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v2_waybel_1(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f125]) ).
fof(f127,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v9_waybel_1(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f126]) ).
fof(f134,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v1_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f127]) ).
fof(f140,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v2_waybel_3(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f134]) ).
fof(f144,plain,
! [X0] :
( v2_waybel_8(k3_yellow_1(X0))
& v3_waybel_3(k3_yellow_1(X0))
& v25_waybel_0(k3_yellow_1(X0))
& v24_waybel_0(k3_yellow_1(X0))
& v3_yellow_0(k3_yellow_1(X0))
& v2_yellow_0(k3_yellow_1(X0))
& v1_yellow_0(k3_yellow_1(X0))
& v3_lattice3(k3_yellow_1(X0))
& v2_lattice3(k3_yellow_1(X0))
& v1_lattice3(k3_yellow_1(X0))
& v4_orders_2(k3_yellow_1(X0))
& v3_orders_2(k3_yellow_1(X0))
& v2_orders_2(k3_yellow_1(X0))
& v1_orders_2(k3_yellow_1(X0))
& ~ v3_struct_0(k3_yellow_1(X0)) ),
inference(pure_predicate_removal,[],[f140]) ).
fof(f150,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& k1_card_1(X2) = k1_card_1(X0)
& r1_waybel22(X1,X2) )
& l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& k1_card_1(X2) = k1_card_1(X0)
& r1_waybel22(X1,X2) )
& l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) ),
inference(flattening,[],[f150]) ).
fof(f181,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f182,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f181]) ).
fof(f239,plain,
! [X0] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f240,plain,
! [X0] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f239]) ).
fof(f273,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| k1_card_1(X2) != k1_card_1(X3)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X0,X2) )
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v3_waybel_3(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(ennf_transformation,[],[f113]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r5_waybel_1(X0,X1)
| k1_card_1(X2) != k1_card_1(X3)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X0,X2) )
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) )
| ~ l1_orders_2(X0)
| ~ v3_waybel_3(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(flattening,[],[f273]) ).
fof(f298,plain,
! [X0] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f299,plain,
! [X0] :
( sP6(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(definition_folding,[],[f240,f298]) ).
fof(f302,plain,
( ? [X0,X1] :
( ? [X2] :
( ~ r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))))
& k1_card_1(X2) = k1_card_1(X0)
& r1_waybel22(X1,X2) )
& l1_orders_2(X1)
& v3_waybel_3(X1)
& v3_lattice3(X1)
& v2_lattice3(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( ? [X2] :
( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
& k1_card_1(X2) = k1_card_1(sK8)
& r1_waybel22(sK9,X2) )
& l1_orders_2(sK9)
& v3_waybel_3(sK9)
& v3_lattice3(sK9)
& v2_lattice3(sK9)
& v1_lattice3(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
( ? [X2] :
( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
& k1_card_1(X2) = k1_card_1(sK8)
& r1_waybel22(sK9,X2) )
=> ( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
& k1_card_1(sK8) = k1_card_1(sK10)
& r1_waybel22(sK9,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
( ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
& k1_card_1(sK8) = k1_card_1(sK10)
& r1_waybel22(sK9,sK10)
& l1_orders_2(sK9)
& v3_waybel_3(sK9)
& v3_lattice3(sK9)
& v2_lattice3(sK9)
& v1_lattice3(sK9)
& v4_orders_2(sK9)
& v3_orders_2(sK9)
& v2_orders_2(sK9) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10])],[f151,f303,f302]) ).
fof(f321,plain,
! [X0] :
( ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X0)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X0)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X0)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X0))) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f298]) ).
fof(f374,plain,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f375,plain,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f376,plain,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f377,plain,
v1_lattice3(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f378,plain,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f379,plain,
v3_lattice3(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f380,plain,
v3_waybel_3(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f381,plain,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f304]) ).
fof(f382,plain,
r1_waybel22(sK9,sK10),
inference(cnf_transformation,[],[f304]) ).
fof(f383,plain,
k1_card_1(sK8) = k1_card_1(sK10),
inference(cnf_transformation,[],[f304]) ).
fof(f384,plain,
~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(cnf_transformation,[],[f304]) ).
fof(f441,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f511,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f517,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f519,plain,
! [X0] : l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f559,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f560,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f561,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f563,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f566,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f144]) ).
fof(f579,plain,
! [X0] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f580,plain,
! [X0] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f581,plain,
! [X0] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f587,plain,
! [X0] :
( v1_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f588,plain,
! [X0] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f589,plain,
! [X0] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f590,plain,
! [X0] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f591,plain,
! [X0] :
( sP6(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v2_yellow_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f748,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f749,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f750,plain,
! [X2,X3,X0,X1] :
( r5_waybel_1(X0,X1)
| k1_card_1(X2) != k1_card_1(X3)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X0,X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v3_waybel_3(X0)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f274]) ).
fof(f762,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f748,f511]) ).
fof(f763,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f749,f511]) ).
cnf(c_49,negated_conjecture,
~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(cnf_transformation,[],[f384]) ).
cnf(c_50,negated_conjecture,
k1_card_1(sK8) = k1_card_1(sK10),
inference(cnf_transformation,[],[f383]) ).
cnf(c_51,negated_conjecture,
r1_waybel22(sK9,sK10),
inference(cnf_transformation,[],[f382]) ).
cnf(c_52,negated_conjecture,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f381]) ).
cnf(c_53,negated_conjecture,
v3_waybel_3(sK9),
inference(cnf_transformation,[],[f380]) ).
cnf(c_54,negated_conjecture,
v3_lattice3(sK9),
inference(cnf_transformation,[],[f379]) ).
cnf(c_55,negated_conjecture,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f378]) ).
cnf(c_56,negated_conjecture,
v1_lattice3(sK9),
inference(cnf_transformation,[],[f377]) ).
cnf(c_57,negated_conjecture,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f376]) ).
cnf(c_58,negated_conjecture,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f375]) ).
cnf(c_59,negated_conjecture,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f374]) ).
cnf(c_101,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f441]) ).
cnf(c_157,plain,
l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f517]) ).
cnf(c_159,plain,
l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f519]) ).
cnf(c_203,plain,
v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f566]) ).
cnf(c_206,plain,
v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f563]) ).
cnf(c_208,plain,
v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f561]) ).
cnf(c_209,plain,
v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f560]) ).
cnf(c_210,plain,
v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f559]) ).
cnf(c_218,plain,
( ~ sP6(X0)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f590]) ).
cnf(c_219,plain,
( ~ sP6(X0)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f589]) ).
cnf(c_220,plain,
( ~ sP6(X0)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f588]) ).
cnf(c_221,plain,
( ~ sP6(X0)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f587]) ).
cnf(c_227,plain,
( ~ sP6(X0)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f581]) ).
cnf(c_228,plain,
( ~ sP6(X0)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f580]) ).
cnf(c_229,plain,
( ~ sP6(X0)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f579]) ).
cnf(c_232,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_yellow_0(X0)
| v3_struct_0(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f591]) ).
cnf(c_389,plain,
k1_card_1(a_1_0_waybel22(X0)) = k1_card_1(X0),
inference(cnf_transformation,[],[f762]) ).
cnf(c_390,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(cnf_transformation,[],[f763]) ).
cnf(c_391,plain,
( k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(X2,X0)
| ~ r1_waybel22(X3,X1)
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X3)
| ~ v3_waybel_3(X2)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X2)
| ~ v3_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X2)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ v2_orders_2(X3)
| r5_waybel_1(X2,X3) ),
inference(cnf_transformation,[],[f750]) ).
cnf(c_591,plain,
( ~ v2_yellow_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| sP6(X0) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_101,c_232]) ).
cnf(c_592,plain,
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v2_yellow_0(X0)
| sP6(X0) ),
inference(renaming,[status(thm)],[c_591]) ).
cnf(c_4374,plain,
( k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))) != X0
| k1_card_1(X1) != k1_card_1(X2)
| X3 != sK9
| ~ r1_waybel22(X0,X2)
| ~ r1_waybel22(X3,X1)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X3)
| ~ v3_waybel_3(X0)
| ~ v3_waybel_3(X3)
| ~ v3_lattice3(X0)
| ~ v3_lattice3(X3)
| ~ v2_lattice3(X0)
| ~ v2_lattice3(X3)
| ~ v1_lattice3(X0)
| ~ v1_lattice3(X3)
| ~ v4_orders_2(X0)
| ~ v4_orders_2(X3)
| ~ v3_orders_2(X0)
| ~ v3_orders_2(X3)
| ~ v2_orders_2(X0)
| ~ v2_orders_2(X3) ),
inference(resolution_lifted,[status(thm)],[c_49,c_391]) ).
cnf(c_4375,plain,
( k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ r1_waybel22(sK9,X0)
| ~ l1_orders_2(sK9)
| ~ v3_waybel_3(sK9)
| ~ v3_lattice3(sK9)
| ~ v2_lattice3(sK9)
| ~ v1_lattice3(sK9)
| ~ v4_orders_2(sK9)
| ~ v3_orders_2(sK9)
| ~ v2_orders_2(sK9) ),
inference(unflattening,[status(thm)],[c_4374]) ).
cnf(c_4377,plain,
( k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ r1_waybel22(sK9,X0) ),
inference(global_subsumption_just,[status(thm)],[c_4375,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_4375]) ).
cnf(c_4402,plain,
( k1_card_1(X0) != k1_card_1(X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ r1_waybel22(sK9,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4377,c_157]) ).
cnf(c_11973,plain,
( k3_yellow_1(X0) != X1
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| sP6(X1) ),
inference(resolution_lifted,[status(thm)],[c_592,c_203]) ).
cnf(c_11974,plain,
( ~ l1_orders_2(k3_yellow_1(X0))
| ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| sP6(k3_yellow_1(X0)) ),
inference(unflattening,[status(thm)],[c_11973]) ).
cnf(c_17872,plain,
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ~ r1_waybel22(sK9,X1)
| k1_card_1(X1) != k1_card_1(X0)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_4402]) ).
cnf(c_17873,plain,
( ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_4402]) ).
cnf(c_20820,plain,
( k1_card_1(X0) != k1_card_1(sK8)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ~ r1_waybel22(sK9,sK10)
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_50,c_17872]) ).
cnf(c_21621,plain,
( k1_card_1(X0) != k1_card_1(sK8)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ~ r1_waybel22(sK9,sK10)
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_50,c_17872]) ).
cnf(c_21642,plain,
( ~ v2_lattice3(k3_yellow_1(X0))
| ~ v4_orders_2(k3_yellow_1(X0))
| ~ v3_orders_2(k3_yellow_1(X0))
| ~ v2_orders_2(k3_yellow_1(X0))
| ~ v2_yellow_0(k3_yellow_1(X0))
| sP6(k3_yellow_1(X0)) ),
inference(superposition,[status(thm)],[c_159,c_592]) ).
cnf(c_21692,plain,
( ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ sP6(k3_yellow_1(sK8))
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_218,c_17873]) ).
cnf(c_21967,plain,
( ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| k1_card_1(X0) != k1_card_1(sK8)
| ~ sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_21621,c_51,c_20820]) ).
cnf(c_21968,plain,
( k1_card_1(X0) != k1_card_1(sK8)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ~ sP0_iProver_def ),
inference(renaming,[status(thm)],[c_21967]) ).
cnf(c_21976,plain,
( k1_card_1(X0) != k1_card_1(sK8)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(X0))
| ~ sP0_iProver_def ),
inference(superposition,[status(thm)],[c_389,c_21968]) ).
cnf(c_22020,plain,
sP6(k3_yellow_1(X0)),
inference(global_subsumption_just,[status(thm)],[c_21642,c_210,c_209,c_208,c_206,c_159,c_11974]) ).
cnf(c_22044,plain,
( ~ sP6(k3_yellow_1(sK8))
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_21692,c_229,c_228,c_227,c_221,c_220,c_219]) ).
cnf(c_22045,plain,
sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_22044,c_22020]) ).
cnf(c_22068,plain,
( k1_card_1(X0) != k1_card_1(sK8)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21976,c_22045]) ).
cnf(c_22075,plain,
~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(sK8)),
inference(equality_resolution,[status(thm)],[c_22068]) ).
cnf(c_22165,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_22075,c_390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LAT351+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 18:13:17 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.50/1.60 % SZS status Started for theBenchmark.p
% 7.50/1.60 % SZS status Theorem for theBenchmark.p
% 7.50/1.60
% 7.50/1.60 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.50/1.60
% 7.50/1.60 ------ iProver source info
% 7.50/1.60
% 7.50/1.60 git: date: 2024-05-02 19:28:25 +0000
% 7.50/1.60 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.50/1.60 git: non_committed_changes: false
% 7.50/1.60
% 7.50/1.60 ------ Parsing...
% 7.50/1.60 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.50/1.60
% 7.50/1.60 ------ Preprocessing... sup_sim: 0 sf_s rm: 11 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 12 0s sf_e pe_s pe_e
% 7.50/1.60
% 7.50/1.60 ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.50/1.60
% 7.50/1.60 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.50/1.60 ------ Proving...
% 7.50/1.60 ------ Problem Properties
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60 clauses 264
% 7.50/1.60 conjectures 10
% 7.50/1.60 EPR 141
% 7.50/1.60 Horn 225
% 7.50/1.60 unary 122
% 7.50/1.60 binary 69
% 7.50/1.60 lits 590
% 7.50/1.60 lits eq 19
% 7.50/1.60 fd_pure 0
% 7.50/1.60 fd_pseudo 0
% 7.50/1.60 fd_cond 1
% 7.50/1.60 fd_pseudo_cond 5
% 7.50/1.60 AC symbols 0
% 7.50/1.60
% 7.50/1.60 ------ Input Options Time Limit: Unbounded
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60 ------
% 7.50/1.60 Current options:
% 7.50/1.60 ------
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60 ------ Proving...
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60 ------ Proving...
% 7.50/1.60
% 7.50/1.60
% 7.50/1.60 % SZS status Theorem for theBenchmark.p
% 7.50/1.60
% 7.50/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.50/1.60
% 8.05/1.61
%------------------------------------------------------------------------------