%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT351+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 : n018.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 01:59:27 PM UTC 2026
% Result : Theorem 18.87s 3.30s
% Output : CNFRefutation 18.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 130 ( 55 unt; 1 def)
% Number of atoms : 678 ( 29 equ)
% Maximal formula atoms : 21 ( 5 avg)
% Number of connectives : 852 ( 304 ~; 275 |; 261 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 113 ( 0 sgn 107 !; 6 ?; 40 :)
% 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,[status(cth)],[f1]) ).
fof(f16,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( ( v3_lattice3(X0)
& ~ v3_struct_0(X0) )
=> ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_yellow_0) ).
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(k1_waybel22(X0)) = k1_card_1(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(f139,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(f147,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,[],[f139]) ).
fof(f150,plain,
? [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(ennf_transformation,[],[f2]) ).
fof(f151,plain,
? [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(flattening,[],[f150]) ).
fof(f175,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f176,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| ( v2_lattice3(X0)
& v1_lattice3(X0)
& ~ v3_struct_0(X0) ) ),
inference(flattening,[],[f175]) ).
fof(f181,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f182,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f181]) ).
fof(f239,plain,
! [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))) ) ),
inference(ennf_transformation,[],[f71]) ).
fof(f240,plain,
! [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))) ) ),
inference(flattening,[],[f239]) ).
fof(f273,plain,
! [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) ) ) ),
inference(ennf_transformation,[],[f113]) ).
fof(f274,plain,
! [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) ) ) ),
inference(flattening,[],[f273]) ).
fof(f302,plain,
( 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)
& k1_card_1(sK10) = k1_card_1(sK8)
& r1_waybel22(sK9,sK10)
& ~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f151]) ).
fof(f344,plain,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f345,plain,
v3_waybel_3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f346,plain,
v3_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f347,plain,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f348,plain,
v1_lattice3(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f349,plain,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f350,plain,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f351,plain,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f302]) ).
fof(f352,plain,
k1_card_1(sK10) = k1_card_1(sK8),
inference(cnf_transformation,[],[f302]) ).
fof(f353,plain,
r1_waybel22(sK9,sK10),
inference(cnf_transformation,[],[f302]) ).
fof(f354,plain,
~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(cnf_transformation,[],[f302]) ).
fof(f400,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_lattice3(X0)
| v3_struct_0(X0)
| v1_lattice3(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f411,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f481,plain,
! [X0] : k1_waybel22(X0) = a_1_0_waybel22(X0),
inference(cnf_transformation,[],[f34]) ).
fof(f486,plain,
! [X0] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f488,plain,
! [X0] : l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f44]) ).
fof(f532,plain,
! [X0] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f535,plain,
! [X0] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f537,plain,
! [X0] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f538,plain,
! [X0] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f539,plain,
! [X0] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f561,plain,
! [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)
| sP6(X0) ),
inference(cnf_transformation,[],[f299]) ).
fof(f718,plain,
! [X0] : k1_card_1(X0) = k1_card_1(k1_waybel22(X0)),
inference(cnf_transformation,[],[f111]) ).
fof(f719,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),k1_waybel22(X0)),
inference(cnf_transformation,[],[f112]) ).
fof(f720,plain,
! [X2,X3,X0,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)
| ~ 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)
| k1_card_1(X2) != k1_card_1(X3)
| ~ r1_waybel22(X1,X3)
| ~ r1_waybel22(X0,X2)
| r5_waybel_1(X0,X1) ),
inference(cnf_transformation,[],[f274]) ).
fof(f732,plain,
! [X0] : k1_card_1(X0) = k1_card_1(a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f718,f481]) ).
fof(f733,plain,
! [X0] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(definition_unfolding,[],[f719,f481]) ).
tcf(c_49,negated_conjecture,
~ r5_waybel_1(sK9,k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(cnf_transformation,[],[f354]) ).
tcf(c_50,negated_conjecture,
r1_waybel22(sK9,sK10),
inference(cnf_transformation,[],[f353]) ).
tcf(c_51,negated_conjecture,
k1_card_1(sK8) = k1_card_1(sK10),
inference(cnf_transformation,[],[f352]) ).
tcf(c_52,negated_conjecture,
v2_orders_2(sK9),
inference(cnf_transformation,[],[f351]) ).
tcf(c_53,negated_conjecture,
v3_orders_2(sK9),
inference(cnf_transformation,[],[f350]) ).
tcf(c_54,negated_conjecture,
v4_orders_2(sK9),
inference(cnf_transformation,[],[f349]) ).
tcf(c_55,negated_conjecture,
v1_lattice3(sK9),
inference(cnf_transformation,[],[f348]) ).
tcf(c_56,negated_conjecture,
v2_lattice3(sK9),
inference(cnf_transformation,[],[f347]) ).
tcf(c_57,negated_conjecture,
v3_lattice3(sK9),
inference(cnf_transformation,[],[f346]) ).
tcf(c_58,negated_conjecture,
v3_waybel_3(sK9),
inference(cnf_transformation,[],[f345]) ).
tcf(c_59,negated_conjecture,
l1_orders_2(sK9),
inference(cnf_transformation,[],[f344]) ).
tcf(c_93,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_lattice3(X0) ),
inference(cnf_transformation,[],[f400]) ).
tcf(c_101,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f411]) ).
tcf(c_158,plain,
! [X0: $i] : l1_orders_2(k2_yellow_1(X0)),
inference(cnf_transformation,[],[f486]) ).
tcf(c_160,plain,
! [X0: $i] : l1_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f488]) ).
tcf(c_200,plain,
! [X0: $i] : v2_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f539]) ).
tcf(c_201,plain,
! [X0: $i] : v3_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f538]) ).
tcf(c_202,plain,
! [X0: $i] : v4_orders_2(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f537]) ).
tcf(c_204,plain,
! [X0: $i] : v2_lattice3(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f535]) ).
tcf(c_207,plain,
! [X0: $i] : v2_yellow_0(k3_yellow_1(X0)),
inference(cnf_transformation,[],[f532]) ).
tcf(c_232,plain,
! [X0: $i] :
( sP6(X0)
| v3_struct_0(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f561]) ).
tcf(c_389,plain,
! [X0: $i] : k1_card_1(a_1_0_waybel22(X0)) = k1_card_1(X0),
inference(cnf_transformation,[],[f732]) ).
tcf(c_390,plain,
! [X0: $i] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X0))),a_1_0_waybel22(X0)),
inference(cnf_transformation,[],[f733]) ).
tcf(c_391,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( r5_waybel_1(X2,X3)
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X3)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X2)
| ~ r1_waybel22(X3,X1)
| ~ r1_waybel22(X2,X0)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(cnf_transformation,[],[f720]) ).
tcf(c_596,plain,
! [X0: $i] :
( sP6(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_232,c_101,c_232]) ).
tcf(c_597,plain,
! [X0: $i] :
( sP6(X0)
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(renaming,[status(thm)],[c_596]) ).
tcf(c_3093,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ l1_orders_2(X3)
| ~ l1_orders_2(X0)
| ~ v3_waybel_3(X3)
| ~ v3_waybel_3(X0)
| ~ v3_lattice3(X3)
| ~ v3_lattice3(X0)
| ~ v2_lattice3(X3)
| ~ v2_lattice3(X0)
| ~ v1_lattice3(X3)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X3)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X3)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X3)
| ~ v2_orders_2(X0)
| ~ r1_waybel22(X3,X1)
| ~ r1_waybel22(X0,X2)
| ( X3 != sK9 )
| ( k1_card_1(X1) != k1_card_1(X2) )
| ( k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))) != X0 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_391]) ).
tcf(c_3094,plain,
! [X0: $i,X1: $i] :
( ~ 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)
| ~ r1_waybel22(sK9,X0)
| ~ 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(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(unflattening,[status(thm)],[c_3093]) ).
tcf(c_3096,plain,
! [X0: $i,X1: $i] :
( ~ r1_waybel22(sK9,X0)
| ~ 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(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_3094,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_3094]) ).
tcf(c_3121,plain,
! [X0: $i,X1: $i] :
( ~ r1_waybel22(sK9,X0)
| ~ 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(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X1)
| ( k1_card_1(X0) != k1_card_1(X1) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3096,c_158]) ).
tcf(c_15604,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( k1_card_1(X1) != k1_card_1(X0) )
| ~ r1_waybel22(sK9,X1)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_3121]) ).
tcf(c_15605,plain,
( iPr_def_10
| ~ 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)))) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_3121]) ).
tcf(c_18474,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(sK8)),
inference(instantiation,[status(thm)],[c_390]) ).
tcf(c_18491,plain,
( sP6(k3_yellow_1(sK8))
| ~ v2_yellow_0(k3_yellow_1(sK8))
| ~ l1_orders_2(k3_yellow_1(sK8))
| ~ v2_lattice3(k3_yellow_1(sK8))
| ~ v4_orders_2(k3_yellow_1(sK8))
| ~ v3_orders_2(k3_yellow_1(sK8))
| ~ v2_orders_2(k3_yellow_1(sK8)) ),
inference(instantiation,[status(thm)],[c_597]) ).
tcf(c_18632,plain,
v2_yellow_0(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_207]) ).
tcf(c_18997,plain,
l1_orders_2(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_160]) ).
tcf(c_19205,plain,
l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))),
inference(instantiation,[status(thm)],[c_158]) ).
tcf(c_20444,plain,
v2_lattice3(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_204]) ).
tcf(c_20613,plain,
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_20627,plain,
( v3_struct_0(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ l1_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_21460,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ r1_waybel22(sK9,sK10)
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ( k1_card_1(X0) != k1_card_1(sK8) ) ),
inference(superposition,[status(thm)],[c_51,c_15604]) ).
tcf(c_21505,plain,
! [X0: $i] :
( ~ iPr_def_10
| ( k1_card_1(X0) != k1_card_1(sK8) )
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0) ),
inference(global_subsumption_just,[status(thm)],[c_21460,c_50,c_21460]) ).
tcf(c_21506,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),X0)
| ( k1_card_1(X0) != k1_card_1(sK8) ) ),
inference(renaming,[status(thm)],[c_21505]) ).
tcf(c_21522,plain,
( iPr_def_10
| ~ 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))))
| ~ v2_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))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(global_subsumption_just,[status(thm)],[c_15605,c_15605,c_19205,c_20613,c_20627]) ).
tcf(c_21523,plain,
( iPr_def_10
| ~ 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))))
| ~ 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)))) ),
inference(renaming,[status(thm)],[c_21522]) ).
tcf(c_21854,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(X0))
| ( k1_card_1(X0) != k1_card_1(sK8) ) ),
inference(superposition,[status(thm)],[c_389,c_21506]) ).
tcf(c_21889,plain,
( ~ iPr_def_10
| ~ r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))),a_1_0_waybel22(sK8)) ),
inference(equality_resolution,[status(thm)],[c_21854]) ).
tcf(c_23908,plain,
v4_orders_2(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_202]) ).
tcf(c_29174,plain,
v2_orders_2(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_200]) ).
tcf(c_31335,plain,
v3_orders_2(k3_yellow_1(sK8)),
inference(instantiation,[status(thm)],[c_201]) ).
fof(f298,definition,
! [X0] :
( ~ sP6(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))) ) ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f299,plain,
! [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)
| sP6(X0) ),
inference(definition_folding,[],[f240,f298]) ).
fof(f314,plain,
! [X0] :
( ~ sP6(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))) ) ),
inference(nnf_transformation,[],[f298]) ).
fof(f547,plain,
! [X0] :
( ~ sP6(X0)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f548,plain,
! [X0] :
( ~ sP6(X0)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f549,plain,
! [X0] :
( ~ sP6(X0)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f556,plain,
! [X0] :
( ~ sP6(X0)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f557,plain,
! [X0] :
( ~ sP6(X0)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
fof(f558,plain,
! [X0] :
( ~ sP6(X0)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X0))) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_220,plain,
! [X0: $i] :
( v2_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f558]) ).
tcf(c_221,plain,
! [X0: $i] :
( v3_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f557]) ).
tcf(c_222,plain,
! [X0: $i] :
( v4_orders_2(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f556]) ).
tcf(c_229,plain,
! [X0: $i] :
( v2_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f549]) ).
tcf(c_230,plain,
! [X0: $i] :
( v3_lattice3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f548]) ).
tcf(c_231,plain,
! [X0: $i] :
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X0)))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f547]) ).
tcf(c_18436,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ sP6(k3_yellow_1(sK8)) ),
inference(instantiation,[status(thm)],[c_231]) ).
tcf(c_18525,plain,
( v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ sP6(k3_yellow_1(sK8)) ),
inference(instantiation,[status(thm)],[c_230]) ).
tcf(c_19653,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ sP6(k3_yellow_1(sK8)) ),
inference(instantiation,[status(thm)],[c_229]) ).
tcf(c_21726,plain,
( iPr_def_10
| ~ sP6(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))))
| ~ 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)))) ),
inference(superposition,[status(thm)],[c_220,c_21523]) ).
tcf(c_21727,plain,
( iPr_def_10
| ~ sP6(k3_yellow_1(sK8))
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8))))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(global_subsumption_just,[status(thm)],[c_21726,c_18436,c_18525,c_19653,c_21726]) ).
tcf(c_21728,plain,
( iPr_def_10
| ~ sP6(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)))) ),
inference(renaming,[status(thm)],[c_21727]) ).
tcf(c_21729,plain,
( iPr_def_10
| ~ sP6(k3_yellow_1(sK8))
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(sK8)))) ),
inference(superposition,[status(thm)],[c_221,c_21728]) ).
tcf(c_21736,plain,
( iPr_def_10
| ~ sP6(k3_yellow_1(sK8)) ),
inference(superposition,[status(thm)],[c_222,c_21729]) ).
tcf(c_31336,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_31335,c_29174,c_23908,c_21889,c_21736,c_20444,c_18997,c_18632,c_18491,c_18474]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n018.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 : Wed Sep 23 21:19:33 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 18.87/3.30 % SZS status Started for theBenchmark.p
% 18.87/3.30 % SZS status Theorem for theBenchmark.p
% 18.87/3.30
% 18.87/3.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 18.87/3.30
% 18.87/3.30 % ------ iProver source info
% 18.87/3.30
% 18.87/3.30 % git: date: 2026-07-19 20:42:38 +0200
% 18.87/3.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 18.87/3.30 % git: non_committed_changes: false
% 18.87/3.30
% 18.87/3.30 % ------ Parsing...
% 18.87/3.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 18.87/3.30
% 18.87/3.30 % ------ 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 %
% 18.87/3.30
% 18.87/3.30 % ------ Preprocessing... gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e %
% 18.87/3.30
% 18.87/3.30 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 18.87/3.30 % ------ Proving...
% 18.87/3.30 % ------ Problem Properties
% 18.87/3.30
% 18.87/3.30 %
% 18.87/3.30 % clauses 264
% 18.87/3.30 % conjectures 10
% 18.87/3.30 % EPR 141
% 18.87/3.30 % Horn 225
% 18.87/3.30 % unary 122
% 18.87/3.30 % binary 69
% 18.87/3.30 % lits 590
% 18.87/3.30 % lits eq 19
% 18.87/3.30 % fd_pure 0
% 18.87/3.30 % fd_pseudo 0
% 18.87/3.30 % fd_cond 1
% 18.87/3.30 % fd_pseudo_cond 5
% 18.87/3.30 % AC symbols 0
% 18.87/3.30
% 18.87/3.30 % ------ Input Options Time Limit: Unbounded
% 18.87/3.30
% 18.87/3.30
% 18.87/3.30 % ------
% 18.87/3.30 % Current options:
% 18.87/3.30 % ------
% 18.87/3.30
% 18.87/3.30
% 18.87/3.30 %
% 18.87/3.30
% 18.87/3.30 % ------ Proving...
% 18.87/3.30 %
% 18.87/3.30
% 18.87/3.30 % SZS status Theorem for theBenchmark.p
% 18.87/3.30
% 18.87/3.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.87/3.30
% 18.87/3.30
%------------------------------------------------------------------------------