%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP047+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:34:06 PM UTC 2026
% Result : Theorem 25.29s 9.92s
% Output : Refutation 50.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 29
% Syntax : Number of formulae : 228 ( 31 unt; 10 def)
% Number of atoms : 1099 ( 167 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 1525 ( 654 ~; 701 |; 121 &)
% ( 11 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 11 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-2 aty)
% Number of variables : 190 ( 0 sgn 186 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f6852,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v1_pre_topc(X0)
=> X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
fof(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f11561,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f11578,axiom,
! [X0] :
( l1_orders_2(X0)
=> k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_lattice3) ).
fof(f15115,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_yellow_1) ).
fof(f16028,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc24_yellow_6) ).
fof(f16029,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f16133,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f16232,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_lattice3(X0) )
=> v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_yellow_7) ).
fof(f16437,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ~ ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& ~ v3_struct_0(X0)
& v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_waybel_8) ).
fof(f16438,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X0) )
=> v2_orders_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_waybel_8) ).
fof(f16439,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v3_orders_2(X0) )
=> v3_orders_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_waybel_8) ).
fof(f16440,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v4_orders_2(X0) )
=> v4_orders_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_waybel_8) ).
fof(f16441,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v24_waybel_0(X0) )
=> v24_waybel_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_waybel_8) ).
fof(f18356,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_waybel28) ).
fof(f18374,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f18712,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f18713,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f18714,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f18713]) ).
fof(f18811,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18712]) ).
fof(f18812,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18811]) ).
fof(f18813,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18714]) ).
fof(f18814,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f18813]) ).
fof(f18845,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11561]) ).
fof(f18846,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18845]) ).
fof(f18909,plain,
! [X0] :
( ! [X1] :
( v24_waybel_0(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v24_waybel_0(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16441]) ).
fof(f18910,plain,
! [X0] :
( ! [X1] :
( v24_waybel_0(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v24_waybel_0(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18909]) ).
fof(f18911,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16440]) ).
fof(f18912,plain,
! [X0] :
( ! [X1] :
( v4_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18911]) ).
fof(f18913,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16439]) ).
fof(f18914,plain,
! [X0] :
( ! [X1] :
( v3_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18913]) ).
fof(f18915,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16438]) ).
fof(f18916,plain,
! [X0] :
( ! [X1] :
( v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18915]) ).
fof(f18917,plain,
! [X0] :
( ! [X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v3_struct_0(X0)
| ~ v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16437]) ).
fof(f18918,plain,
! [X0] :
( ! [X1] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v3_struct_0(X0)
| ~ v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18917]) ).
fof(f18935,plain,
! [X0] :
( ! [X1] :
( v2_lattice3(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f16232]) ).
fof(f18936,plain,
! [X0] :
( ! [X1] :
( v2_lattice3(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18935]) ).
fof(f18982,plain,
! [X0] :
( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18356]) ).
fof(f18983,plain,
! [X0] :
( k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f18982]) ).
fof(f19037,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f19174,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f18374]) ).
fof(f19175,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19174]) ).
fof(f19200,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f16133]) ).
fof(f19201,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f19200]) ).
fof(f19202,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f16029]) ).
fof(f19203,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f19202]) ).
fof(f19204,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f16028]) ).
fof(f19205,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f19204]) ).
fof(f19858,plain,
! [X0] :
( k7_lattice3(k7_lattice3(X0)) = g1_orders_2(u1_struct_0(X0),u1_orders_2(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11578]) ).
fof(f21619,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f6852]) ).
fof(f21620,plain,
! [X0] :
( X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0))
| ~ v1_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f21619]) ).
fof(f22762,plain,
! [X0] :
( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f15115]) ).
fof(f22763,plain,
! [X0] :
( k4_yellow_0(k2_yellow_1(u1_pre_topc(X0))) = u1_struct_0(X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f22762]) ).
fof(f23532,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) != k14_yellow_6(sK40,k3_waybel28(sK40))
& g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39)) = g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
& v2_orders_2(sK40)
& v3_orders_2(sK40)
& v4_orders_2(sK40)
& v24_waybel_0(sK40)
& v25_waybel_0(sK40)
& v2_lattice3(sK40)
& l1_orders_2(sK40)
& v2_orders_2(sK39)
& v3_orders_2(sK39)
& v4_orders_2(sK39)
& v24_waybel_0(sK39)
& v25_waybel_0(sK39)
& v2_lattice3(sK39)
& l1_orders_2(sK39) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39,sK40]),skolemize(X0,sK39),skolemize(X1,sK40)],[f18814]) ).
fof(f23631,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f38]) ).
fof(f23632,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f23631]) ).
fof(f25252,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18812]) ).
fof(f25253,plain,
l1_orders_2(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25254,plain,
v2_lattice3(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25255,plain,
v25_waybel_0(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25256,plain,
v24_waybel_0(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25257,plain,
v4_orders_2(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25258,plain,
v3_orders_2(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25259,plain,
v2_orders_2(sK39),
inference(cnf_transformation,[],[f23532]) ).
fof(f25260,plain,
l1_orders_2(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25261,plain,
v2_lattice3(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25262,plain,
v25_waybel_0(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25263,plain,
v24_waybel_0(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25264,plain,
v4_orders_2(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25265,plain,
v3_orders_2(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25266,plain,
v2_orders_2(sK40),
inference(cnf_transformation,[],[f23532]) ).
fof(f25267,plain,
g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39)) = g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40)),
inference(cnf_transformation,[],[f23532]) ).
fof(f25268,plain,
k14_yellow_6(sK39,k3_waybel28(sK39)) != k14_yellow_6(sK40,k3_waybel28(sK40)),
inference(cnf_transformation,[],[f23532]) ).
fof(f25354,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18846]) ).
fof(f25582,plain,
! [X0,X1] :
( v24_waybel_0(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v24_waybel_0(X0)
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18910]) ).
fof(f25583,plain,
! [X0,X1] :
( ~ v4_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18912]) ).
fof(f25584,plain,
! [X0,X1] :
( ~ v3_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18914]) ).
fof(f25585,plain,
! [X0,X1] :
( v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18916]) ).
fof(f25586,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| v3_struct_0(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18918]) ).
fof(f25607,plain,
! [X0,X1] :
( ~ v2_lattice3(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f18936]) ).
fof(f25657,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| k4_waybel28(X0) = u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) ),
inference(cnf_transformation,[],[f18983]) ).
fof(f25906,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19037]) ).
fof(f25990,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f23632]) ).
fof(f26139,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19175]) ).
fof(f26170,plain,
! [X0,X1] :
( l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f19201]) ).
fof(f26172,plain,
! [X0,X1] :
( v2_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f19203]) ).
fof(f26175,plain,
! [X0,X1] :
( v1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f19205]) ).
fof(f26176,plain,
! [X0,X1] :
( ~ v3_struct_0(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f19205]) ).
fof(f27518,plain,
! [X0] :
( ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = k7_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f19858]) ).
fof(f30282,plain,
! [X0] :
( ~ v1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f21620]) ).
fof(f31980,plain,
! [X0] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = k4_yellow_0(k2_yellow_1(u1_pre_topc(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f22763]) ).
fof(f35621,plain,
! [X0,X1] :
( ~ v2_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v2_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f25585,f25586]) ).
fof(f35622,plain,
! [X0,X1] :
( v24_waybel_0(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v24_waybel_0(X0)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f25582,f25586]) ).
fof(f35632,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f25252,f25584]) ).
fof(f35843,plain,
! [X0,X1] :
( ~ v24_waybel_0(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| v24_waybel_0(X1)
| ~ l1_orders_2(X1)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f35622,f35621]) ).
fof(f35850,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f35632,f25583]) ).
fof(f35946,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f35850,f25607]) ).
fof(f36076,plain,
g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39)) = k7_lattice3(k7_lattice3(sK39)),
inference(resolution,[],[f27518,f25253]) ).
fof(f36114,plain,
( v3_struct_0(sK39)
| k4_waybel28(sK39) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))) ),
inference(resolution,[],[f25657,f25253]) ).
fof(f36115,plain,
( v3_struct_0(sK40)
| k4_waybel28(sK40) = u1_pre_topc(k14_yellow_6(sK40,k3_waybel28(sK40))) ),
inference(resolution,[],[f25657,f25260]) ).
fof(f36117,definition,
( spl1046_19
<=> k4_waybel28(sK40) = u1_pre_topc(k14_yellow_6(sK40,k3_waybel28(sK40))) ),
introduced(definition,[new_symbols(definition,[spl1046_19])],[avatar_definition]) ).
fof(f36118,plain,
( k4_waybel28(sK40) = u1_pre_topc(k14_yellow_6(sK40,k3_waybel28(sK40)))
| ~ spl1046_19 ),
inference(avatar_component_clause,[],[f36117]) ).
fof(f36120,definition,
( spl1046_20
<=> v3_struct_0(sK40) ),
introduced(definition,[new_symbols(definition,[spl1046_20])],[avatar_definition]) ).
fof(f36121,plain,
( v3_struct_0(sK40)
| ~ spl1046_20 ),
inference(avatar_component_clause,[],[f36120]) ).
fof(f36122,plain,
( spl1046_19
| spl1046_20 ),
inference(avatar_split_clause,[],[f36115,f36120,f36117]) ).
fof(f36124,definition,
( spl1046_21
<=> k4_waybel28(sK39) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))) ),
introduced(definition,[new_symbols(definition,[spl1046_21])],[avatar_definition]) ).
fof(f36125,plain,
( k4_waybel28(sK39) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| ~ spl1046_21 ),
inference(avatar_component_clause,[],[f36124]) ).
fof(f36127,definition,
( spl1046_22
<=> v3_struct_0(sK39) ),
introduced(definition,[new_symbols(definition,[spl1046_22])],[avatar_definition]) ).
fof(f36128,plain,
( v3_struct_0(sK39)
| ~ spl1046_22 ),
inference(avatar_component_clause,[],[f36127]) ).
fof(f36129,plain,
( spl1046_21
| spl1046_22 ),
inference(avatar_split_clause,[],[f36114,f36127,f36124]) ).
fof(f36138,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK40)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v24_waybel_0(sK40)
| ~ v25_waybel_0(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(superposition,[],[f35946,f36118]) ).
fof(f36139,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(sK40)
| ~ v4_orders_2(sK40)
| ~ v24_waybel_0(sK40)
| ~ v25_waybel_0(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36138,f25266]) ).
fof(f36141,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(sK40)
| ~ v24_waybel_0(sK40)
| ~ v25_waybel_0(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36139,f25265]) ).
fof(f36143,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(sK40)
| ~ v25_waybel_0(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36141,f25264]) ).
fof(f36145,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v25_waybel_0(sK40)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36143,f25263]) ).
fof(f36147,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36145,f25262]) ).
fof(f36149,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ l1_orders_2(sK40) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36147,f25261]) ).
fof(f36151,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl1046_19 ),
inference(forward_subsumption_resolution,[],[f36149,f25260]) ).
fof(f36153,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl1046_19 ),
inference(forward_demodulation,[],[f36151,f25267]) ).
fof(f36155,plain,
( ! [X0] :
( r1_tarski(k4_waybel28(sK40),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl1046_19 ),
inference(forward_demodulation,[],[f36153,f36076]) ).
fof(f36363,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40) ),
inference(resolution,[],[f35621,f25266]) ).
fof(f36364,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_subsumption_resolution,[],[f36363,f25260]) ).
fof(f36366,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f36364,f25267]) ).
fof(f36368,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| v2_orders_2(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f36366,f36076]) ).
fof(f36370,definition,
( spl1046_41
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| ~ l1_orders_2(X0)
| v2_orders_2(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1046_41])],[avatar_definition]) ).
fof(f36371,plain,
( ! [X0] :
( v2_orders_2(X0)
| ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39)) )
| ~ spl1046_41 ),
inference(avatar_component_clause,[],[f36370]) ).
fof(f36373,plain,
( spl1046_20
| spl1046_41 ),
inference(avatar_split_clause,[],[f36368,f36370,f36120]) ).
fof(f36375,plain,
( ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1046_22 ),
inference(resolution,[],[f36128,f25354]) ).
fof(f36377,plain,
( ~ l1_orders_2(sK39)
| ~ spl1046_22 ),
inference(forward_subsumption_resolution,[],[f36375,f25254]) ).
fof(f36378,plain,
( $false
| ~ spl1046_22 ),
inference(forward_subsumption_resolution,[],[f36377,f25253]) ).
fof(f36379,plain,
~ spl1046_22,
inference(avatar_contradiction_clause,[],[f36378]) ).
fof(f36381,plain,
( ~ v2_lattice3(sK40)
| ~ l1_orders_2(sK40)
| ~ spl1046_20 ),
inference(resolution,[],[f36121,f25354]) ).
fof(f36383,plain,
( ~ l1_orders_2(sK40)
| ~ spl1046_20 ),
inference(forward_subsumption_resolution,[],[f36381,f25261]) ).
fof(f36384,plain,
( $false
| ~ spl1046_20 ),
inference(forward_subsumption_resolution,[],[f36383,f25260]) ).
fof(f36385,plain,
~ spl1046_20,
inference(avatar_contradiction_clause,[],[f36384]) ).
fof(f36415,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40)
| ~ v2_orders_2(sK40)
| ~ l1_orders_2(sK40) ),
inference(resolution,[],[f35843,f25263]) ).
fof(f36416,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40)
| ~ l1_orders_2(sK40) ),
inference(forward_subsumption_resolution,[],[f36415,f25266]) ).
fof(f36418,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40))
| v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_subsumption_resolution,[],[f36416,f25260]) ).
fof(f36420,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f36418,f25267]) ).
fof(f36422,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(sK40) ),
inference(forward_demodulation,[],[f36420,f36076]) ).
fof(f36424,definition,
( spl1046_44
<=> ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| ~ l1_orders_2(X0)
| v24_waybel_0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1046_44])],[avatar_definition]) ).
fof(f36425,plain,
( ! [X0] :
( v24_waybel_0(X0)
| ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39)) )
| ~ spl1046_44 ),
inference(avatar_component_clause,[],[f36424]) ).
fof(f36427,plain,
( spl1046_20
| spl1046_44 ),
inference(avatar_split_clause,[],[f36422,f36424,f36120]) ).
fof(f36458,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39)) != k7_lattice3(k7_lattice3(sK39))
| ~ v2_orders_2(sK39)
| ~ v24_waybel_0(sK39)
| ~ v25_waybel_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1046_19
| ~ spl1046_21 ),
inference(superposition,[],[f36155,f36125]) ).
fof(f36459,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| ~ v2_orders_2(sK39)
| ~ v24_waybel_0(sK39)
| ~ v25_waybel_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1046_19
| ~ spl1046_21 ),
inference(forward_subsumption_resolution,[],[f36458,f27518]) ).
fof(f36460,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| ~ v24_waybel_0(sK39)
| ~ v25_waybel_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1046_19
| ~ spl1046_21 ),
inference(forward_subsumption_resolution,[],[f36459,f25259]) ).
fof(f36461,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| ~ v25_waybel_0(sK39)
| ~ l1_orders_2(sK39)
| ~ spl1046_19
| ~ spl1046_21 ),
inference(forward_subsumption_resolution,[],[f36460,f25256]) ).
fof(f36462,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| ~ l1_orders_2(sK39)
| ~ spl1046_19
| ~ spl1046_21 ),
inference(forward_subsumption_resolution,[],[f36461,f25255]) ).
fof(f36463,plain,
( r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| ~ spl1046_19
| ~ spl1046_21 ),
inference(forward_subsumption_resolution,[],[f36462,f25253]) ).
fof(f36575,plain,
! [X0,X1] :
( ~ v25_waybel_0(X1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f25990,f35946]) ).
fof(f36581,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK39)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v24_waybel_0(sK39)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) ),
inference(resolution,[],[f36575,f25255]) ).
fof(f36584,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(sK39)
| ~ v4_orders_2(sK39)
| ~ v24_waybel_0(sK39)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) ),
inference(forward_subsumption_resolution,[],[f36581,f25259]) ).
fof(f36586,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(sK39)
| ~ v24_waybel_0(sK39)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) ),
inference(forward_subsumption_resolution,[],[f36584,f25258]) ).
fof(f36588,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(sK39)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) ),
inference(forward_subsumption_resolution,[],[f36586,f25257]) ).
fof(f36590,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ v2_lattice3(sK39)
| ~ l1_orders_2(sK39) ),
inference(forward_subsumption_resolution,[],[f36588,f25256]) ).
fof(f36592,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| ~ l1_orders_2(sK39) ),
inference(forward_subsumption_resolution,[],[f36590,f25254]) ).
fof(f36594,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))) ),
inference(forward_subsumption_resolution,[],[f36592,f25253]) ).
fof(f36596,plain,
( ! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK39)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39))
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))) )
| ~ spl1046_21 ),
inference(forward_demodulation,[],[f36594,f36125]) ).
fof(f36598,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK39)
| ~ v2_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))) )
| ~ spl1046_21 ),
inference(forward_demodulation,[],[f36596,f36076]) ).
fof(f36600,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK39)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))) )
| ~ spl1046_21
| ~ spl1046_41 ),
inference(forward_subsumption_resolution,[],[f36598,f36371]) ).
fof(f36601,plain,
( ! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK39)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0)
| ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39)))) )
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_subsumption_resolution,[],[f36600,f36425]) ).
fof(f36602,plain,
( ! [X0] :
( ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),k4_waybel28(sK39))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != k7_lattice3(k7_lattice3(sK39))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = k4_waybel28(sK39)
| ~ v25_waybel_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_demodulation,[],[f36601,f36125]) ).
fof(f36735,plain,
( ~ r1_tarski(k4_waybel28(sK40),k4_waybel28(sK39))
| g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40)) != k7_lattice3(k7_lattice3(sK39))
| k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ v25_waybel_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(superposition,[],[f36602,f36118]) ).
fof(f36736,plain,
( g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40)) != k7_lattice3(k7_lattice3(sK39))
| k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ v25_waybel_0(sK40)
| ~ l1_orders_2(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_subsumption_resolution,[],[f36735,f36463]) ).
fof(f36737,plain,
( g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40)) != k7_lattice3(k7_lattice3(sK39))
| k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ l1_orders_2(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_subsumption_resolution,[],[f36736,f25262]) ).
fof(f36738,plain,
( g1_orders_2(u1_struct_0(sK40),u1_orders_2(sK40)) != k7_lattice3(k7_lattice3(sK39))
| k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_subsumption_resolution,[],[f36737,f25260]) ).
fof(f36739,plain,
( g1_orders_2(u1_struct_0(sK39),u1_orders_2(sK39)) != k7_lattice3(k7_lattice3(sK39))
| k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_demodulation,[],[f36738,f25267]) ).
fof(f36740,plain,
( k4_waybel28(sK39) = k4_waybel28(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_subsumption_resolution,[],[f36739,f36076]) ).
fof(f37122,plain,
! [X0,X1] :
( v3_struct_0(k14_yellow_6(X0,X1))
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(resolution,[],[f31980,f26172]) ).
fof(f37123,plain,
! [X0,X1] :
( u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(forward_subsumption_resolution,[],[f37122,f26176]) ).
fof(f37124,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| ~ m4_yellow_6(X1,X0) ),
inference(forward_subsumption_resolution,[],[f37123,f26170]) ).
fof(f37125,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| u1_struct_0(k14_yellow_6(X0,X1)) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,X1))))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f37124,f25906]) ).
fof(f37126,plain,
! [X0] :
( u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))))
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f37125,f26139]) ).
fof(f37127,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))) ),
inference(duplicate_literal_removal,[],[f37126]) ).
fof(f37128,plain,
( v3_struct_0(sK39)
| u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))) ),
inference(resolution,[],[f37127,f25253]) ).
fof(f37129,plain,
( v3_struct_0(sK40)
| u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))) = k4_yellow_0(k2_yellow_1(u1_pre_topc(k14_yellow_6(sK40,k3_waybel28(sK40))))) ),
inference(resolution,[],[f37127,f25260]) ).
fof(f37134,plain,
( u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK40)))
| v3_struct_0(sK40)
| ~ spl1046_19 ),
inference(forward_demodulation,[],[f37129,f36118]) ).
fof(f37135,plain,
( u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39)))
| v3_struct_0(sK39)
| ~ spl1046_21 ),
inference(forward_demodulation,[],[f37128,f36125]) ).
fof(f37144,plain,
( u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39)))
| v3_struct_0(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_demodulation,[],[f37134,f36740]) ).
fof(f37146,definition,
( spl1046_67
<=> u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))) ),
introduced(definition,[new_symbols(definition,[spl1046_67])],[avatar_definition]) ).
fof(f37147,plain,
( u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39)))
| ~ spl1046_67 ),
inference(avatar_component_clause,[],[f37146]) ).
fof(f37148,plain,
( spl1046_22
| spl1046_67
| ~ spl1046_21 ),
inference(avatar_split_clause,[],[f37135,f36124,f37146,f36127]) ).
fof(f37150,definition,
( spl1046_68
<=> u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))) ),
introduced(definition,[new_symbols(definition,[spl1046_68])],[avatar_definition]) ).
fof(f37151,plain,
( u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))) = k4_yellow_0(k2_yellow_1(k4_waybel28(sK39)))
| ~ spl1046_68 ),
inference(avatar_component_clause,[],[f37150]) ).
fof(f37152,plain,
( spl1046_20
| spl1046_68
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(avatar_split_clause,[],[f37144,f36424,f36370,f36124,f36117,f37150,f36120]) ).
fof(f40974,plain,
! [X0,X1] :
( k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1)))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(resolution,[],[f30282,f26175]) ).
fof(f40975,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,X1) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,X1)),u1_pre_topc(k14_yellow_6(X0,X1))) ),
inference(forward_subsumption_resolution,[],[f40974,f26170]) ).
fof(f40976,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f40975,f26139]) ).
fof(f40977,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f40976]) ).
fof(f40978,plain,
! [X0] :
( ~ l1_orders_2(X0)
| k14_yellow_6(X0,k3_waybel28(X0)) = g1_pre_topc(u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| v3_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f40977,f25906]) ).
fof(f40979,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))),u1_pre_topc(k14_yellow_6(sK39,k3_waybel28(sK39))))
| v3_struct_0(sK39) ),
inference(resolution,[],[f40978,f25253]) ).
fof(f40980,plain,
( k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))),u1_pre_topc(k14_yellow_6(sK40,k3_waybel28(sK40))))
| v3_struct_0(sK40) ),
inference(resolution,[],[f40978,f25260]) ).
fof(f40987,plain,
( k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))),k4_waybel28(sK40))
| v3_struct_0(sK40)
| ~ spl1046_19 ),
inference(forward_demodulation,[],[f40980,f36118]) ).
fof(f40988,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK39,k3_waybel28(sK39))),k4_waybel28(sK39))
| v3_struct_0(sK39)
| ~ spl1046_21 ),
inference(forward_demodulation,[],[f40979,f36125]) ).
fof(f40992,plain,
( k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(u1_struct_0(k14_yellow_6(sK40,k3_waybel28(sK40))),k4_waybel28(sK39))
| v3_struct_0(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44 ),
inference(forward_demodulation,[],[f40987,f36740]) ).
fof(f40993,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39))
| v3_struct_0(sK39)
| ~ spl1046_21
| ~ spl1046_67 ),
inference(forward_demodulation,[],[f40988,f37147]) ).
fof(f40996,plain,
( k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39))
| v3_struct_0(sK40)
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44
| ~ spl1046_68 ),
inference(forward_demodulation,[],[f40992,f37151]) ).
fof(f40998,definition,
( spl1046_244
<=> k14_yellow_6(sK39,k3_waybel28(sK39)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1046_244])],[avatar_definition]) ).
fof(f40999,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39))
| ~ spl1046_244 ),
inference(avatar_component_clause,[],[f40998]) ).
fof(f41000,plain,
( spl1046_22
| spl1046_244
| ~ spl1046_21
| ~ spl1046_67 ),
inference(avatar_split_clause,[],[f40993,f37146,f36124,f40998,f36127]) ).
fof(f41003,definition,
( spl1046_245
<=> k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39)) ),
introduced(definition,[new_symbols(definition,[spl1046_245])],[avatar_definition]) ).
fof(f41004,plain,
( k14_yellow_6(sK40,k3_waybel28(sK40)) = g1_pre_topc(k4_yellow_0(k2_yellow_1(k4_waybel28(sK39))),k4_waybel28(sK39))
| ~ spl1046_245 ),
inference(avatar_component_clause,[],[f41003]) ).
fof(f41005,plain,
( spl1046_20
| spl1046_245
| ~ spl1046_19
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44
| ~ spl1046_68 ),
inference(avatar_split_clause,[],[f40996,f37150,f36424,f36370,f36124,f36117,f41003,f36120]) ).
fof(f41006,plain,
( k14_yellow_6(sK39,k3_waybel28(sK39)) = k14_yellow_6(sK40,k3_waybel28(sK40))
| ~ spl1046_244
| ~ spl1046_245 ),
inference(forward_demodulation,[],[f41004,f40999]) ).
fof(f41007,plain,
( $false
| ~ spl1046_244
| ~ spl1046_245 ),
inference(forward_subsumption_resolution,[],[f41006,f25268]) ).
fof(f41008,plain,
( ~ spl1046_244
| ~ spl1046_245 ),
inference(avatar_contradiction_clause,[],[f41007]) ).
cnf(s15,plain,
( spl1046_19
| spl1046_20 ),
inference(sat_conversion,[],[f36122]) ).
cnf(s16,plain,
( spl1046_21
| spl1046_22 ),
inference(sat_conversion,[],[f36129]) ).
cnf(s37,plain,
( spl1046_20
| spl1046_41 ),
inference(sat_conversion,[],[f36373]) ).
cnf(s39,plain,
~ spl1046_22,
inference(sat_conversion,[],[f36379]) ).
cnf(s41,plain,
~ spl1046_20,
inference(sat_conversion,[],[f36385]) ).
cnf(s46,plain,
( spl1046_20
| spl1046_44 ),
inference(sat_conversion,[],[f36427]) ).
cnf(s79,plain,
( ~ spl1046_21
| spl1046_22
| spl1046_67 ),
inference(sat_conversion,[],[f37148]) ).
cnf(s80,plain,
( ~ spl1046_19
| spl1046_20
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44
| spl1046_68 ),
inference(sat_conversion,[],[f37152]) ).
cnf(s260,plain,
( ~ spl1046_21
| spl1046_22
| ~ spl1046_67
| spl1046_244 ),
inference(sat_conversion,[],[f41000]) ).
cnf(s261,plain,
( ~ spl1046_19
| spl1046_20
| ~ spl1046_21
| ~ spl1046_41
| ~ spl1046_44
| ~ spl1046_68
| spl1046_245 ),
inference(sat_conversion,[],[f41005]) ).
cnf(s262,plain,
( ~ spl1046_244
| ~ spl1046_245 ),
inference(sat_conversion,[],[f41008]) ).
cnf(s321,plain,
spl1046_44,
inference(rat,[],[s46,s41]) ).
cnf(s393,plain,
spl1046_41,
inference(rat,[],[s37,s41]) ).
cnf(s405,plain,
spl1046_21,
inference(rat,[],[s16,s39]) ).
cnf(s406,plain,
spl1046_67,
inference(rat,[],[s79,s39,s405]) ).
cnf(s410,plain,
spl1046_244,
inference(rat,[],[s260,s405,s39,s406]) ).
cnf(s411,plain,
~ spl1046_245,
inference(rat,[],[s262,s410]) ).
cnf(s412,plain,
spl1046_19,
inference(rat,[],[s15,s41]) ).
cnf(s413,plain,
~ spl1046_68,
inference(rat,[],[s261,s411,s405,s321,s393,s41,s412]) ).
cnf(s414,plain,
$false,
inference(rat,[],[s80,s405,s321,s393,s41,s413,s412]) ).
fof(f41009,plain,
$false,
inference(avatar_sat_refutation,[],[s414]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : TOP047+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.31 % Computer : n007.cluster.edu
% 0.29/0.31 % Model : x86_64 x86_64
% 0.29/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.29/0.31 % Memory : 8046.5625MB
% 0.29/0.31 % OS : Linux 6.8.0-71-generic
% 0.29/0.32 % CPULimit : 300
% 0.29/0.32 % WCLimit : 300
% 0.29/0.32 % DateTime : Mon Sep 28 19:04:44 UTC 2026
% 0.29/0.32 % CPUTime :
% 0.29/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.29/0.38 Running first-order theorem proving
% 0.29/0.38 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.86/6.88 % (2713290)Detected formulas, will run a generic FOF schedule.
% 27.86/6.88 % (2713295)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2839329903:i=141193_2979 on theBenchmark for (2979ds/141193Mi)
% 27.86/6.88 % (2713296)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3411184949:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2979 on theBenchmark for (2979ds/134677Mi)
% 27.86/6.88 % (2713297)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=333657293:i=141695:sd=1:nm=32:gsp=on:ss=included_2979 on theBenchmark for (2979ds/141695Mi)
% 27.86/6.88 % (2713300)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=47966147:s2a=on:i=139:gtg=position_2979 on theBenchmark for (2979ds/139Mi)
% 27.86/6.88 % (2713299)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2053159094:i=119:av=off:ss=axioms_2979 on theBenchmark for (2979ds/119Mi)
% 27.86/6.88 % (2713298)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2962010318:i=109:sd=1:ins=1:gsp=on:ss=axioms_2979 on theBenchmark for (2979ds/109Mi)
% 27.86/6.88 % (2713301)dis-21_1_sil=8000:lcm=predicate:random_seed=3070925749:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2979 on theBenchmark for (2979ds/129Mi)
% 27.86/6.88 % (2713300)Instruction limit reached!
% 27.86/6.88 % (2713300)------------------------------
% 27.86/6.88 % (2713300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.86/6.88 % (2713300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/6.88 % (2713300)CaDiCaL version: 2.1.3
% 27.86/6.88 % (2713300)Termination reason: Instruction limit
% 27.86/6.88 % (2713300)Termination phase: Property scanning
% 27.86/6.88 % (2713300)Time elapsed: 0.116 s
% 27.86/6.88 % (2713300)Peak memory usage: 111 MB
% 27.86/6.88 % (2713300)Instructions burned: 140 (million)
% 27.86/6.88 % (2713298)Instruction limit reached!
% 27.86/6.88 % (2713298)------------------------------
% 27.86/6.88 % (2713298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.86/6.88 % (2713298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/6.88 % (2713298)CaDiCaL version: 2.1.3
% 27.86/6.88 % (2713298)Termination reason: Instruction limit
% 27.86/6.88 % (2713298)Termination phase: Preprocessing 1
% 27.86/6.88 % (2713298)Time elapsed: 0.134 s
% 27.86/6.88 % (2713298)Peak memory usage: 111 MB
% 27.86/6.88 % (2713298)Instructions burned: 109 (million)
% 27.86/6.88 % (2713299)Instruction limit reached!
% 27.86/6.88 % (2713299)------------------------------
% 27.86/6.88 % (2713299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.86/6.88 % (2713299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/6.88 % (2713299)CaDiCaL version: 2.1.3
% 27.86/6.88 % (2713299)Termination reason: Instruction limit
% 27.86/6.88 % (2713299)Termination phase: Preprocessing 1
% 27.86/6.88 % (2713299)Time elapsed: 0.149 s
% 27.86/6.88 % (2713299)Peak memory usage: 112 MB
% 27.86/6.88 % (2713299)Instructions burned: 119 (million)
% 27.86/6.88 % (2713301)Instruction limit reached!
% 27.86/6.88 % (2713301)------------------------------
% 27.86/6.88 % (2713301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.86/6.88 % (2713301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.86/6.88 % (2713301)CaDiCaL version: 2.1.3
% 27.86/6.88 % (2713301)Termination reason: Instruction limit
% 27.86/6.88 % (2713301)Termination phase: SInE selection
% 27.86/6.88 % (2713301)Time elapsed: 0.141 s
% 27.86/6.88 % (2713301)Peak memory usage: 111 MB
% 27.86/6.88 % (2713301)Instructions burned: 130 (million)
% 27.86/6.88 % (2713309)lrs+10_1_sil=8000:sp=occurrence:random_seed=2954980910:i=285:sd=3:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/285Mi)
% 27.86/6.88 % (2713310)lrs+10_1_sil=32000:urr=on:br=off:random_seed=41894026:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2974 on theBenchmark for (2974ds/157Mi)
% 27.86/6.88 % (2713312)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1237578718:s2a=on:i=248:s2at=1.23:gtg=position_2974 on theBenchmark for (2974ds/248Mi)
% 27.86/6.88 % (2713311)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1276412232:i=325:sd=1:ss=axioms:sgt=32_2974 on theBenchmark for (2974ds/325Mi)
% 27.86/6.88 % (2713310)Instruction limit reached!
% 40.84/8.70 % (2713310)------------------------------
% 40.84/8.70 % (2713310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713310)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713310)Termination reason: Instruction limit
% 40.84/8.70 % (2713310)Termination phase: Property scanning
% 40.84/8.70 % (2713310)Time elapsed: 0.129 s
% 40.84/8.70 % (2713310)Peak memory usage: 111 MB
% 40.84/8.70 % (2713310)Instructions burned: 157 (million)
% 40.84/8.70 % (2713311)Refutation not found, incomplete strategy
% 40.84/8.70 % (2713311)------------------------------
% 40.84/8.70 % (2713311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713311)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713311)Termination reason: Refutation not found, incomplete strategy
% 40.84/8.70 % (2713311)Time elapsed: 0.178 s
% 40.84/8.70 % (2713311)Peak memory usage: 117 MB
% 40.84/8.70 % (2713311)Instructions burned: 134 (million)
% 40.84/8.70 % (2713312)Instruction limit reached!
% 40.84/8.70 % (2713312)------------------------------
% 40.84/8.70 % (2713312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713312)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713312)Termination reason: Instruction limit
% 40.84/8.70 % (2713312)Termination phase: Property scanning
% 40.84/8.70 % (2713312)Time elapsed: 0.202 s
% 40.84/8.70 % (2713312)Peak memory usage: 111 MB
% 40.84/8.70 % (2713312)Instructions burned: 248 (million)
% 40.84/8.70 % (2713309)Instruction limit reached!
% 40.84/8.70 % (2713309)------------------------------
% 40.84/8.70 % (2713309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713309)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713309)Termination reason: Instruction limit
% 40.84/8.70 % (2713309)Termination phase: Saturation
% 40.84/8.70 % (2713309)Time elapsed: 0.321 s
% 40.84/8.70 % (2713309)Peak memory usage: 119 MB
% 40.84/8.70 % (2713309)Instructions burned: 285 (million)
% 40.84/8.70 % (2713317)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2863742777:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2970 on theBenchmark for (2970ds/294Mi)
% 40.84/8.70 % (2713318)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1296667082:i=2350_2969 on theBenchmark for (2969ds/2350Mi)
% 40.84/8.70 % (2713319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3438595398:cts=off:i=113:fsr=off:ss=included:sgt=4_2969 on theBenchmark for (2969ds/113Mi)
% 40.84/8.70 % (2713311)------------------------------
% 40.84/8.70 % (2713311)------------------------------
% 40.84/8.70 % (2713319)Instruction limit reached!
% 40.84/8.70 % (2713319)------------------------------
% 40.84/8.70 % (2713319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713319)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713319)Termination reason: Instruction limit
% 40.84/8.70 % (2713319)Termination phase: SInE selection
% 40.84/8.70 % (2713319)Time elapsed: 0.133 s
% 40.84/8.70 % (2713319)Peak memory usage: 112 MB
% 40.84/8.70 % (2713319)Instructions burned: 113 (million)
% 40.84/8.70 % (2713317)Instruction limit reached!
% 40.84/8.70 % (2713317)------------------------------
% 40.84/8.70 % (2713317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.84/8.70 % (2713317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.84/8.70 % (2713317)CaDiCaL version: 2.1.3
% 40.84/8.70 % (2713317)Termination reason: Instruction limit
% 40.84/8.70 % (2713317)Termination phase: Preprocessing 3
% 40.84/8.70 % (2713317)Time elapsed: 0.344 s
% 40.84/8.70 % (2713317)Peak memory usage: 119 MB
% 40.84/8.70 % (2713317)Instructions burned: 294 (million)
% 40.84/8.70 % (2713323)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2722000482:i=127:av=off:fsr=off:sup=off_2965 on theBenchmark for (2965ds/127Mi)
% 40.84/8.70 % (2713324)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3928788454:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 40.84/8.70 % (2713325)lrs+10_1_sil=8000:sp=occurrence:random_seed=881058389:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2964 on theBenchmark for (2964ds/907Mi)
% 25.29/9.92 % (2713323)Instruction limit reached!
% 25.29/9.92 % (2713323)------------------------------
% 25.29/9.92 % (2713323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713323)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713323)Termination reason: Instruction limit
% 25.29/9.92 % (2713323)Termination phase: Preprocessing 1
% 25.29/9.92 % (2713323)Time elapsed: 0.145 s
% 25.29/9.92 % (2713323)Peak memory usage: 112 MB
% 25.29/9.92 % (2713323)Instructions burned: 127 (million)
% 25.29/9.92 % (2713324)Instruction limit reached!
% 25.29/9.92 % (2713324)------------------------------
% 25.29/9.92 % (2713324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713324)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713324)Termination reason: Instruction limit
% 25.29/9.92 % (2713324)Termination phase: Property scanning
% 25.29/9.92 % (2713324)Time elapsed: 0.098 s
% 25.29/9.92 % (2713324)Peak memory usage: 112 MB
% 25.29/9.92 % (2713324)Instructions burned: 115 (million)
% 25.29/9.92 % (2713329)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3531792033:i=437:sd=1:aac=none:ss=included_2961 on theBenchmark for (2961ds/437Mi)
% 25.29/9.92 % (2713330)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3467638663:i=5202:ss=axioms:sgt=16_2960 on theBenchmark for (2960ds/5202Mi)
% 25.29/9.92 % (2713329)Instruction limit reached!
% 25.29/9.92 % (2713329)------------------------------
% 25.29/9.92 % (2713329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713329)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713329)Termination reason: Instruction limit
% 25.29/9.92 % (2713329)Termination phase: Saturation
% 25.29/9.92 % (2713329)Time elapsed: 0.425 s
% 25.29/9.92 % (2713329)Peak memory usage: 118 MB
% 25.29/9.92 % (2713329)Instructions burned: 437 (million)
% 25.29/9.92 % (2713325)Instruction limit reached!
% 25.29/9.92 % (2713325)------------------------------
% 25.29/9.92 % (2713325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713325)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713325)Termination reason: Instruction limit
% 25.29/9.92 % (2713325)Termination phase: Saturation
% 25.29/9.92 % (2713325)Time elapsed: 0.878 s
% 25.29/9.92 % (2713325)Peak memory usage: 131 MB
% 25.29/9.92 % (2713325)Instructions burned: 907 (million)
% 25.29/9.92 % (2713333)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1197885205:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2953 on theBenchmark for (2953ds/134Mi)
% 25.29/9.92 % (2713334)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3321033348:st=8:i=592:sd=3:ep=RST:ss=axioms_2952 on theBenchmark for (2952ds/592Mi)
% 25.29/9.92 % (2713333)Instruction limit reached!
% 25.29/9.92 % (2713333)------------------------------
% 25.29/9.92 % (2713333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713333)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713333)Termination reason: Instruction limit
% 25.29/9.92 % (2713333)Termination phase: NewCNF
% 25.29/9.92 % (2713333)Time elapsed: 0.175 s
% 25.29/9.92 % (2713333)Peak memory usage: 114 MB
% 25.29/9.92 % (2713333)Instructions burned: 134 (million)
% 25.29/9.92 % (2713337)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2875716679:st=3:i=13193:sd=3:ss=axioms_2949 on theBenchmark for (2949ds/13193Mi)
% 25.29/9.92 % (2713318)Instruction limit reached!
% 25.29/9.92 % (2713318)------------------------------
% 25.29/9.92 % (2713318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713318)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713318)Termination reason: Instruction limit
% 25.29/9.92 % (2713318)Termination phase: Property scanning
% 25.29/9.92 % (2713318)Time elapsed: 2.239 s
% 25.29/9.92 % (2713318)Peak memory usage: 168 MB
% 25.29/9.92 % (2713318)Instructions burned: 2352 (million)
% 25.29/9.92 % (2713334)Instruction limit reached!
% 25.29/9.92 % (2713334)------------------------------
% 25.29/9.92 % (2713334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713334)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713334)Termination reason: Instruction limit
% 25.29/9.92 % (2713334)Termination phase: Preprocessing 3
% 25.29/9.92 % (2713334)Time elapsed: 0.682 s
% 25.29/9.92 % (2713334)Peak memory usage: 133 MB
% 25.29/9.92 % (2713334)Instructions burned: 593 (million)
% 25.29/9.92 % (2713339)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1169085046:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2944 on theBenchmark for (2944ds/125Mi)
% 25.29/9.92 % (2713339)Instruction limit reached!
% 25.29/9.92 % (2713339)------------------------------
% 25.29/9.92 % (2713339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713339)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713339)Termination reason: Instruction limit
% 25.29/9.92 % (2713339)Termination phase: Property scanning
% 25.29/9.92 % (2713339)Time elapsed: 0.108 s
% 25.29/9.92 % (2713339)Peak memory usage: 111 MB
% 25.29/9.92 % (2713339)Instructions burned: 126 (million)
% 25.29/9.92 % (2713340)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=683424283:i=134:gtgl=5:slsql=off:gtg=exists_sym_2942 on theBenchmark for (2942ds/134Mi)
% 25.29/9.92 % (2713340)Instruction limit reached!
% 25.29/9.92 % (2713340)------------------------------
% 25.29/9.92 % (2713340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713340)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713340)Termination reason: Instruction limit
% 25.29/9.92 % (2713340)Termination phase: Property scanning
% 25.29/9.92 % (2713340)Time elapsed: 0.113 s
% 25.29/9.92 % (2713340)Peak memory usage: 111 MB
% 25.29/9.92 % (2713340)Instructions burned: 134 (million)
% 25.29/9.92 % (2713342)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1496168626:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2940 on theBenchmark for (2940ds/141Mi)
% 25.29/9.92 % (2713342)Refutation not found, incomplete strategy
% 25.29/9.92 % (2713342)------------------------------
% 25.29/9.92 % (2713342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713342)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713342)Termination reason: Refutation not found, incomplete strategy
% 25.29/9.92 % (2713342)Time elapsed: 0.157 s
% 25.29/9.92 % (2713342)Peak memory usage: 116 MB
% 25.29/9.92 % (2713342)Instructions burned: 125 (million)
% 25.29/9.92 % (2713344)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=958337196:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2938 on theBenchmark for (2938ds/431Mi)
% 25.29/9.92 % (2713344)Refutation not found, incomplete strategy
% 25.29/9.92 % (2713344)------------------------------
% 25.29/9.92 % (2713344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713344)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713344)Termination reason: Refutation not found, incomplete strategy
% 25.29/9.92 % (2713344)Time elapsed: 0.160 s
% 25.29/9.92 % (2713344)Peak memory usage: 117 MB
% 25.29/9.92 % (2713344)Instructions burned: 124 (million)
% 25.29/9.92 % (2713342)------------------------------
% 25.29/9.92 % (2713342)------------------------------
% 25.29/9.92 % (2713344)------------------------------
% 25.29/9.92 % (2713344)------------------------------
% 25.29/9.92 % (2713347)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=973872558:i=6060:aac=none:ins=25_2931 on theBenchmark for (2931ds/6060Mi)
% 25.29/9.92 % (2713348)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2266606879:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2929 on theBenchmark for (2929ds/150Mi)
% 25.29/9.92 % (2713348)Instruction limit reached!
% 25.29/9.92 % (2713348)------------------------------
% 25.29/9.92 % (2713348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.29/9.92 % (2713348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.29/9.92 % (2713348)CaDiCaL version: 2.1.3
% 25.29/9.92 % (2713348)Termination reason: Instruction limit
% 25.29/9.92 % (2713348)Termination phase: Preprocessing 1
% 25.29/9.92 % (2713348)Time elapsed: 0.187 s
% 25.29/9.92 % (2713348)Peak memory usage: 112 MB
% 25.29/9.92 % (2713348)Instructions burned: 150 (million)
% 25.29/9.92 % (2713351)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=737887862:i=14155:bd=all_2924 on theBenchmark for (2924ds/14155Mi)
% 25.29/9.92 % (2713296)First to succeed.
% 25.29/9.92 % (2713296)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2713290"
% 25.29/9.92 % (2713296)Refutation found. Thanks to Tanya!
% 25.29/9.92 % SZS status Theorem for theBenchmark
% 25.29/9.92 % SZS output start Proof for theBenchmark
% See solution above
% 50.57/10.18 % (2713296)------------------------------
% 50.57/10.18 % (2713296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.57/10.18 % (2713296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.57/10.18 % (2713296)CaDiCaL version: 2.1.3
% 50.57/10.18 % (2713296)Termination reason: Refutation
% 50.57/10.18 % (2713296)Time elapsed: 5.836 s
% 50.57/10.18 % (2713296)Peak memory usage: 256 MB
% 50.57/10.18 % (2713296)Instructions burned: 5559 (million)
% 50.57/10.18 % (2713296)------------------------------
% 50.57/10.18 % (2713296)------------------------------
% 50.57/10.18 % (2713290)Success in time 8.768 s
% 50.57/10.18 % Vampire exiting
%------------------------------------------------------------------------------