%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU414+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 : n016.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 12:48:50 PM UTC 2026
% Result : Theorem 17.94s 4.29s
% Output : Refutation 18.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 26
% Syntax : Number of formulae : 283 ( 37 unt; 12 def)
% Number of atoms : 1255 ( 49 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 1713 ( 741 ~; 803 |; 118 &)
% ( 19 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 13 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 2 con; 0-3 aty)
% Number of variables : 203 ( 0 sgn 192 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f32,axiom,
! [X0,X1,X2] :
( X2 = k4_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f6788,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f7711,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_orders_2) ).
fof(f7737,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_orders_2) ).
fof(f7885,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f14777,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v4_orders_2(X0)
<=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1) )
=> X1 = X2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_yellow_0) ).
fof(f19022,axiom,
! [X0,X1] :
( ( l1_orders_2(X0)
& l1_orders_2(X1) )
=> ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f19030,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X0))
& r2_hidden(X3,u1_struct_0(X0))
& r1_latsum_1(X0,X1)
& v3_orders_2(X0) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_latsum_1) ).
fof(f19031,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X2,u1_struct_0(X1))
& r2_hidden(X3,u1_struct_0(X1))
& r1_latsum_1(X0,X1)
& v3_orders_2(X1) )
=> r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_latsum_1) ).
fof(f19047,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2,X3] :
( ( v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
& r2_hidden(X3,u1_struct_0(X0)) )
=> r2_hidden(X2,u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_latsum_1) ).
fof(f19048,axiom,
! [X0,X1,X2] :
( l1_orders_2(X2)
=> ! [X3] :
( l1_orders_2(X3)
=> ~ ( r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
& v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
& m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
& ~ ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
& ~ ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
& ~ ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_latsum_1) ).
fof(f19050,conjecture,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_latsum_1) ).
fof(f19051,negated_conjecture,
~ ! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ( ( r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> v4_orders_2(k1_latsum_1(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f19050]) ).
fof(f19073,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(ennf_transformation,[],[f19022]) ).
fof(f19074,plain,
! [X0,X1] :
( ( v1_orders_2(k1_latsum_1(X0,X1))
& l1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f19073]) ).
fof(f19087,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19030]) ).
fof(f19088,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19087]) ).
fof(f19089,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19031]) ).
fof(f19090,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19089]) ).
fof(f19120,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19047]) ).
fof(f19121,plain,
! [X0] :
( ! [X1] :
( ! [X2,X3] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0)) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19120]) ).
fof(f19122,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
| ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
| ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
| ~ l1_orders_2(X3) )
| ~ l1_orders_2(X2) ),
inference(ennf_transformation,[],[f19048]) ).
fof(f19123,plain,
! [X0,X1,X2] :
( ! [X3] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| ( r2_hidden(X0,u1_struct_0(X2))
& r2_hidden(X1,u1_struct_0(X2)) )
| ( r2_hidden(X0,u1_struct_0(X3))
& r2_hidden(X1,u1_struct_0(X3)) )
| ( r2_hidden(X0,k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3)))
& r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2))) )
| ~ l1_orders_2(X3) )
| ~ l1_orders_2(X2) ),
inference(flattening,[],[f19122]) ).
fof(f19126,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f19051]) ).
fof(f19127,plain,
? [X0] :
( ? [X1] :
( ~ v4_orders_2(k1_latsum_1(X0,X1))
& r1_latsum_1(X0,X1)
& v13_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X0)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v3_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0) ),
inference(flattening,[],[f19126]) ).
fof(f19135,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f19290,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( r1_orders_2(X0,X1,X2)
<=> r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7711]) ).
fof(f19333,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f14777]) ).
fof(f19334,plain,
! [X0] :
( ( v4_orders_2(X0)
<=> ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) ) )
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19333]) ).
fof(f19345,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7737]) ).
fof(f19346,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f19345]) ).
fof(f19879,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f6788]) ).
fof(f19938,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7885]) ).
fof(f20338,plain,
( ~ v4_orders_2(k1_latsum_1(sK4,sK5))
& r1_latsum_1(sK4,sK5)
& v13_waybel_0(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),sK4)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK4)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),sK5)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK5)))
& v3_orders_2(sK4)
& v4_orders_2(sK4)
& v3_orders_2(sK5)
& v4_orders_2(sK5)
& l1_orders_2(sK5)
& l1_orders_2(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f19127]) ).
fof(f20373,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f20374,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f20373]) ).
fof(f20375,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& ~ r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f20374]) ).
fof(f20376,plain,
! [X0,X1,X2] :
( ( X2 = k4_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK21(X0,X1,X2),X0)
| r2_hidden(sK21(X0,X1,X2),X1)
| ~ r2_hidden(sK21(X0,X1,X2),X2) )
& ( ( r2_hidden(sK21(X0,X1,X2),X0)
& ~ r2_hidden(sK21(X0,X1,X2),X1) )
| r2_hidden(sK21(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(X3,sK21(X0,X1,X2))],[f20375]) ).
fof(f20441,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( r1_orders_2(X0,X1,X2)
| ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0)) )
& ( r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ r1_orders_2(X0,X1,X2) ) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f19290]) ).
fof(f20464,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X1] :
( ! [X2] :
( X1 = X2
| ~ r1_orders_2(X0,X1,X2)
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(nnf_transformation,[],[f19334]) ).
fof(f20465,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ? [X1] :
( ? [X2] :
( X1 != X2
& r1_orders_2(X0,X1,X2)
& r1_orders_2(X0,X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) )
& m1_subset_1(X1,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(rectify,[],[f20464]) ).
fof(f20466,plain,
! [X0] :
( ( ( v4_orders_2(X0)
| ( sK103(X0) != sK104(X0)
& r1_orders_2(X0,sK103(X0),sK104(X0))
& r1_orders_2(X0,sK104(X0),sK103(X0))
& m1_subset_1(sK104(X0),u1_struct_0(X0))
& m1_subset_1(sK103(X0),u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( X3 = X4
| ~ r1_orders_2(X0,X3,X4)
| ~ r1_orders_2(X0,X4,X3)
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v4_orders_2(X0) ) )
| ~ l1_orders_2(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103,sK104]),skolemize(X1,sK103(X0)),skolemize(X2,sK104(X0))],[f20465]) ).
fof(f20801,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f19074]) ).
fof(f20835,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(k4_tarski(X2,X3),u1_orders_2(X0))
| ~ r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19088]) ).
fof(f20836,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| r2_hidden(k4_tarski(X2,X3),u1_orders_2(X1))
| ~ r2_hidden(X2,u1_struct_0(X1))
| ~ r2_hidden(X3,u1_struct_0(X1))
| ~ r1_latsum_1(X0,X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19090]) ).
fof(f20860,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X2,u1_struct_0(X0))
| ~ v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19121]) ).
fof(f20865,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),X2)
| ~ m1_subset_1(k3_xboole_0(u1_struct_0(X2),u1_struct_0(X3)),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(cnf_transformation,[],[f19123]) ).
fof(f20870,plain,
l1_orders_2(sK4),
inference(cnf_transformation,[],[f20338]) ).
fof(f20871,plain,
l1_orders_2(sK5),
inference(cnf_transformation,[],[f20338]) ).
fof(f20872,plain,
v4_orders_2(sK5),
inference(cnf_transformation,[],[f20338]) ).
fof(f20873,plain,
v3_orders_2(sK5),
inference(cnf_transformation,[],[f20338]) ).
fof(f20874,plain,
v4_orders_2(sK4),
inference(cnf_transformation,[],[f20338]) ).
fof(f20875,plain,
v3_orders_2(sK4),
inference(cnf_transformation,[],[f20338]) ).
fof(f20876,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK5))),
inference(cnf_transformation,[],[f20338]) ).
fof(f20877,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),sK5),
inference(cnf_transformation,[],[f20338]) ).
fof(f20878,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f20338]) ).
fof(f20879,plain,
v13_waybel_0(k3_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5)),sK4),
inference(cnf_transformation,[],[f20338]) ).
fof(f20880,plain,
r1_latsum_1(sK4,sK5),
inference(cnf_transformation,[],[f20338]) ).
fof(f20881,plain,
~ v4_orders_2(k1_latsum_1(sK4,sK5)),
inference(cnf_transformation,[],[f20338]) ).
fof(f20928,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f19135]) ).
fof(f21042,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f21063,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f20376]) ).
fof(f21257,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f20441]) ).
fof(f21258,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k4_tarski(X1,X2),u1_orders_2(X0))
| r1_orders_2(X0,X1,X2)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f20441]) ).
fof(f21324,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_subset_1(sK103(X0),u1_struct_0(X0))
| v4_orders_2(X0) ),
inference(cnf_transformation,[],[f20466]) ).
fof(f21325,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_subset_1(sK104(X0),u1_struct_0(X0))
| v4_orders_2(X0) ),
inference(cnf_transformation,[],[f20466]) ).
fof(f21326,plain,
! [X0] :
( ~ l1_orders_2(X0)
| r1_orders_2(X0,sK104(X0),sK103(X0))
| v4_orders_2(X0) ),
inference(cnf_transformation,[],[f20466]) ).
fof(f21327,plain,
! [X0] :
( ~ l1_orders_2(X0)
| r1_orders_2(X0,sK103(X0),sK104(X0))
| v4_orders_2(X0) ),
inference(cnf_transformation,[],[f20466]) ).
fof(f21328,plain,
! [X0] :
( sK103(X0) != sK104(X0)
| v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f20466]) ).
fof(f21360,plain,
! [X2,X0,X1] :
( ~ r1_orders_2(X0,X1,X2)
| X1 = X2
| ~ r1_orders_2(X0,X2,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19346]) ).
fof(f22145,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f19879]) ).
fof(f22225,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f19938]) ).
fof(f22771,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X2,X3),u1_orders_2(k1_latsum_1(X0,X1)))
| ~ v12_waybel_0(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),X1)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X0),k4_xboole_0(u1_struct_0(X0),u1_struct_0(X1))),k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(X2,u1_struct_0(X0))
| ~ r2_hidden(X3,u1_struct_0(X0))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(definition_unfolding,[],[f20860,f21042,f21042]) ).
fof(f22775,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| r2_hidden(X1,k4_xboole_0(u1_struct_0(X3),u1_struct_0(X2)))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(definition_unfolding,[],[f20865,f21042,f21042]) ).
fof(f22781,plain,
v13_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK4),
inference(definition_unfolding,[],[f20879,f21042]) ).
fof(f22782,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK4))),
inference(definition_unfolding,[],[f20878,f21042]) ).
fof(f22783,plain,
v12_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK5),
inference(definition_unfolding,[],[f20877,f21042]) ).
fof(f22784,plain,
m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK5))),
inference(definition_unfolding,[],[f20876,f21042]) ).
fof(f23187,plain,
! [X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,k4_xboole_0(X0,X1)) ),
inference(equality_resolution,[],[f21063]) ).
fof(f23439,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),u1_orders_2(k1_latsum_1(X2,X3)))
| ~ v13_waybel_0(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),X2)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(X2),k4_xboole_0(u1_struct_0(X2),u1_struct_0(X3))),k1_zfmisc_1(u1_struct_0(X2)))
| r2_hidden(X0,u1_struct_0(X2))
| r2_hidden(X1,u1_struct_0(X3))
| ~ l1_orders_2(X3)
| ~ l1_orders_2(X2) ),
inference(forward_subsumption_resolution,[],[f22775,f23187]) ).
fof(f23549,plain,
! [X0] :
( ~ l1_orders_2(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f22145,f22225]) ).
fof(f23551,plain,
u1_struct_0(sK4) = k2_pre_topc(sK4),
inference(resolution,[],[f23549,f20870]) ).
fof(f23552,plain,
u1_struct_0(sK5) = k2_pre_topc(sK5),
inference(resolution,[],[f23549,f20871]) ).
fof(f23616,plain,
! [X0,X1] :
( m1_subset_1(sK103(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f21324,f20801]) ).
fof(f23651,plain,
! [X0,X1] :
( m1_subset_1(sK104(k1_latsum_1(X0,X1)),u1_struct_0(k1_latsum_1(X0,X1)))
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f21325,f20801]) ).
fof(f23788,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X1),sK104(k1_latsum_1(X0,X1)),sK103(k1_latsum_1(X0,X1))) ),
inference(resolution,[],[f21326,f20801]) ).
fof(f23793,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,sK5))
| r1_orders_2(k1_latsum_1(X0,sK5),sK104(k1_latsum_1(X0,sK5)),sK103(k1_latsum_1(X0,sK5))) ),
inference(resolution,[],[f23788,f20871]) ).
fof(f23794,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| v4_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X0)
| r1_orders_2(k1_latsum_1(X0,X1),sK103(k1_latsum_1(X0,X1)),sK104(k1_latsum_1(X0,X1))) ),
inference(resolution,[],[f21327,f20801]) ).
fof(f23799,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v4_orders_2(k1_latsum_1(X0,sK5))
| r1_orders_2(k1_latsum_1(X0,sK5),sK103(k1_latsum_1(X0,sK5)),sK104(k1_latsum_1(X0,sK5))) ),
inference(resolution,[],[f23794,f20871]) ).
fof(f24434,plain,
( v4_orders_2(k1_latsum_1(sK4,sK5))
| r1_orders_2(k1_latsum_1(sK4,sK5),sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))) ),
inference(resolution,[],[f23793,f20870]) ).
fof(f24436,plain,
r1_orders_2(k1_latsum_1(sK4,sK5),sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),
inference(forward_subsumption_resolution,[],[f24434,f20881]) ).
fof(f24445,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| ~ l1_orders_2(k1_latsum_1(sK4,sK5)) ),
inference(resolution,[],[f24436,f21257]) ).
fof(f24447,definition,
( spl335_41
<=> l1_orders_2(k1_latsum_1(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl335_41])],[avatar_definition]) ).
fof(f24448,plain,
( ~ l1_orders_2(k1_latsum_1(sK4,sK5))
| spl335_41 ),
inference(avatar_component_clause,[],[f24447]) ).
fof(f24450,definition,
( spl335_42
<=> m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_42])],[avatar_definition]) ).
fof(f24451,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| spl335_42 ),
inference(avatar_component_clause,[],[f24450]) ).
fof(f24453,definition,
( spl335_43
<=> m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_43])],[avatar_definition]) ).
fof(f24454,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| spl335_43 ),
inference(avatar_component_clause,[],[f24453]) ).
fof(f24456,definition,
( spl335_44
<=> r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_44])],[avatar_definition]) ).
fof(f24457,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5)))
| ~ spl335_44 ),
inference(avatar_component_clause,[],[f24456]) ).
fof(f24458,plain,
( ~ spl335_41
| ~ spl335_42
| ~ spl335_43
| spl335_44 ),
inference(avatar_split_clause,[],[f24445,f24456,f24453,f24450,f24447]) ).
fof(f24466,definition,
( spl335_45
<=> r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5)) ),
introduced(definition,[new_symbols(definition,[spl335_45])],[avatar_definition]) ).
fof(f24467,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| ~ spl335_45 ),
inference(avatar_component_clause,[],[f24466]) ).
fof(f24473,plain,
( v4_orders_2(k1_latsum_1(sK4,sK5))
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK5)
| spl335_42 ),
inference(resolution,[],[f24451,f23651]) ).
fof(f24475,plain,
( ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK5)
| spl335_42 ),
inference(forward_subsumption_resolution,[],[f24473,f20881]) ).
fof(f24476,plain,
( ~ l1_orders_2(sK5)
| spl335_42 ),
inference(forward_subsumption_resolution,[],[f24475,f20870]) ).
fof(f24477,plain,
( $false
| spl335_42 ),
inference(forward_subsumption_resolution,[],[f24476,f20871]) ).
fof(f24478,plain,
spl335_42,
inference(avatar_contradiction_clause,[],[f24477]) ).
fof(f24480,plain,
( v4_orders_2(k1_latsum_1(sK4,sK5))
| ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK5)
| spl335_43 ),
inference(resolution,[],[f24454,f23616]) ).
fof(f24482,plain,
( ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK5)
| spl335_43 ),
inference(forward_subsumption_resolution,[],[f24480,f20881]) ).
fof(f24483,plain,
( ~ l1_orders_2(sK5)
| spl335_43 ),
inference(forward_subsumption_resolution,[],[f24482,f20870]) ).
fof(f24484,plain,
( $false
| spl335_43 ),
inference(forward_subsumption_resolution,[],[f24483,f20871]) ).
fof(f24485,plain,
spl335_43,
inference(avatar_contradiction_clause,[],[f24484]) ).
fof(f24487,plain,
( ~ l1_orders_2(sK4)
| ~ l1_orders_2(sK5)
| spl335_41 ),
inference(resolution,[],[f24448,f20801]) ).
fof(f24489,plain,
( ~ l1_orders_2(sK5)
| spl335_41 ),
inference(forward_subsumption_resolution,[],[f24487,f20870]) ).
fof(f24490,plain,
( $false
| spl335_41 ),
inference(forward_subsumption_resolution,[],[f24489,f20871]) ).
fof(f24491,plain,
spl335_41,
inference(avatar_contradiction_clause,[],[f24490]) ).
fof(f24492,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r1_latsum_1(sK4,sK5)
| ~ v3_orders_2(sK4)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(resolution,[],[f24457,f20835]) ).
fof(f24493,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r1_latsum_1(sK4,sK5)
| ~ v3_orders_2(sK5)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(resolution,[],[f24457,f20836]) ).
fof(f24495,plain,
( ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK5)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK5)))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(resolution,[],[f24457,f22771]) ).
fof(f24501,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK4)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK4)))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(resolution,[],[f24457,f23439]) ).
fof(f24532,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK4)))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24501,f22781]) ).
fof(f24538,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK5)))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24495,f22783]) ).
fof(f24540,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ v3_orders_2(sK5)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24493,f20880]) ).
fof(f24541,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ v3_orders_2(sK4)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24492,f20880]) ).
fof(f24543,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24532,f22782]) ).
fof(f24549,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24538,f22784]) ).
fof(f24551,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24540,f20873]) ).
fof(f24552,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24541,f20875]) ).
fof(f24554,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24543,f20871]) ).
fof(f24560,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24549,f20871]) ).
fof(f24562,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24551,f20871]) ).
fof(f24563,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24552,f20871]) ).
fof(f24565,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24554,f20870]) ).
fof(f24571,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24560,f20870]) ).
fof(f24573,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24562,f20870]) ).
fof(f24574,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_44 ),
inference(forward_subsumption_resolution,[],[f24563,f20870]) ).
fof(f24576,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24565,f23551]) ).
fof(f24582,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24571,f23551]) ).
fof(f24584,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24573,f23552]) ).
fof(f24585,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24574,f23551]) ).
fof(f24587,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24576,f23552]) ).
fof(f24593,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24582,f23551]) ).
fof(f24595,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ spl335_44 ),
inference(forward_demodulation,[],[f24585,f23551]) ).
fof(f24598,definition,
( spl335_51
<=> r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4)) ),
introduced(definition,[new_symbols(definition,[spl335_51])],[avatar_definition]) ).
fof(f24599,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_51 ),
inference(avatar_component_clause,[],[f24598]) ).
fof(f24600,plain,
( spl335_51
| spl335_45
| ~ spl335_44 ),
inference(avatar_split_clause,[],[f24587,f24456,f24466,f24598]) ).
fof(f24607,definition,
( spl335_52
<=> r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4)) ),
introduced(definition,[new_symbols(definition,[spl335_52])],[avatar_definition]) ).
fof(f24608,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| spl335_52 ),
inference(avatar_component_clause,[],[f24607]) ).
fof(f24609,plain,
( spl335_51
| ~ spl335_52
| ~ spl335_44 ),
inference(avatar_split_clause,[],[f24593,f24456,f24607,f24598]) ).
fof(f24611,definition,
( spl335_53
<=> r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4)) ),
introduced(definition,[new_symbols(definition,[spl335_53])],[avatar_definition]) ).
fof(f24612,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ spl335_53 ),
inference(avatar_component_clause,[],[f24611]) ).
fof(f24614,plain,
( spl335_53
| ~ spl335_51
| ~ spl335_52
| ~ spl335_44 ),
inference(avatar_split_clause,[],[f24595,f24456,f24607,f24598,f24611]) ).
fof(f24616,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_52 ),
inference(avatar_component_clause,[],[f24607]) ).
fof(f24632,plain,
( m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_51 ),
inference(resolution,[],[f24599,f20928]) ).
fof(f24639,plain,
( m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_52 ),
inference(resolution,[],[f24616,f20928]) ).
fof(f24648,plain,
( r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_53 ),
inference(resolution,[],[f24612,f21258]) ).
fof(f24656,plain,
( r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24648,f20870]) ).
fof(f24661,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_53 ),
inference(forward_demodulation,[],[f24656,f23551]) ).
fof(f24664,plain,
( r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24661,f24639]) ).
fof(f24667,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_demodulation,[],[f24664,f23551]) ).
fof(f24669,plain,
( r1_orders_2(sK4,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24667,f24632]) ).
fof(f24671,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ v4_orders_2(sK4)
| ~ l1_orders_2(sK4)
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(resolution,[],[f24669,f21360]) ).
fof(f24677,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24671,f20874]) ).
fof(f24678,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24677,f20870]) ).
fof(f24679,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_demodulation,[],[f24678,f23551]) ).
fof(f24680,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24679,f24639]) ).
fof(f24681,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_demodulation,[],[f24680,f23551]) ).
fof(f24682,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(forward_subsumption_resolution,[],[f24681,f24632]) ).
fof(f24684,definition,
( spl335_55
<=> r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_55])],[avatar_definition]) ).
fof(f24685,plain,
( ~ r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| spl335_55 ),
inference(avatar_component_clause,[],[f24684]) ).
fof(f24687,definition,
( spl335_56
<=> sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl335_56])],[avatar_definition]) ).
fof(f24688,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ spl335_56 ),
inference(avatar_component_clause,[],[f24687]) ).
fof(f24689,plain,
( ~ spl335_55
| spl335_56
| ~ spl335_51
| ~ spl335_52
| ~ spl335_53 ),
inference(avatar_split_clause,[],[f24682,f24611,f24607,f24598,f24687,f24684]) ).
fof(f24840,plain,
( v4_orders_2(k1_latsum_1(sK4,sK5))
| r1_orders_2(k1_latsum_1(sK4,sK5),sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))) ),
inference(resolution,[],[f23799,f20870]) ).
fof(f24842,plain,
r1_orders_2(k1_latsum_1(sK4,sK5),sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),
inference(forward_subsumption_resolution,[],[f24840,f20881]) ).
fof(f24851,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(k1_latsum_1(sK4,sK5)))
| ~ l1_orders_2(k1_latsum_1(sK4,sK5)) ),
inference(resolution,[],[f24842,f21257]) ).
fof(f24853,definition,
( spl335_62
<=> r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_62])],[avatar_definition]) ).
fof(f24854,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(k1_latsum_1(sK4,sK5)))
| ~ spl335_62 ),
inference(avatar_component_clause,[],[f24853]) ).
fof(f24855,plain,
( ~ spl335_41
| ~ spl335_43
| ~ spl335_42
| spl335_62 ),
inference(avatar_split_clause,[],[f24851,f24853,f24450,f24453,f24447]) ).
fof(f24865,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r1_latsum_1(sK4,sK5)
| ~ v3_orders_2(sK4)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(resolution,[],[f24854,f20835]) ).
fof(f24866,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r1_latsum_1(sK4,sK5)
| ~ v3_orders_2(sK5)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(resolution,[],[f24854,f20836]) ).
fof(f24868,plain,
( ~ v12_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK5)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK5)))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(resolution,[],[f24854,f22771]) ).
fof(f24874,plain,
( ~ v13_waybel_0(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),sK4)
| ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK4)))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(resolution,[],[f24854,f23439]) ).
fof(f24905,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK4)))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24874,f22781]) ).
fof(f24911,plain,
( ~ m1_subset_1(k4_xboole_0(u1_struct_0(sK4),k4_xboole_0(u1_struct_0(sK4),u1_struct_0(sK5))),k1_zfmisc_1(u1_struct_0(sK5)))
| r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24868,f22783]) ).
fof(f24913,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ v3_orders_2(sK5)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24866,f20880]) ).
fof(f24914,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ v3_orders_2(sK4)
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24865,f20880]) ).
fof(f24916,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24905,f22782]) ).
fof(f24922,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24911,f22784]) ).
fof(f24924,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24913,f20873]) ).
fof(f24925,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK5)
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24914,f20875]) ).
fof(f24927,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24916,f20871]) ).
fof(f24933,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24922,f20871]) ).
fof(f24935,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24924,f20871]) ).
fof(f24936,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24925,f20871]) ).
fof(f24938,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24927,f20870]) ).
fof(f24944,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24933,f20870]) ).
fof(f24946,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24935,f20870]) ).
fof(f24947,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24936,f20870]) ).
fof(f24949,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24938,f23551]) ).
fof(f24955,plain,
( r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24944,f23551]) ).
fof(f24957,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24946,f23552]) ).
fof(f24958,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24947,f23551]) ).
fof(f24960,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24949,f24608]) ).
fof(f24962,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24955,f24608]) ).
fof(f24965,plain,
( r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24960,f23552]) ).
fof(f24967,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24962,f23551]) ).
fof(f24973,plain,
( $false
| ~ spl335_51
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24967,f24599]) ).
fof(f24974,plain,
( ~ spl335_51
| spl335_52
| ~ spl335_62 ),
inference(avatar_contradiction_clause,[],[f24973]) ).
fof(f24977,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24958,f24616]) ).
fof(f24978,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f24977,f23551]) ).
fof(f24979,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK4))
| ~ spl335_51
| ~ spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24978,f24599]) ).
fof(f25019,plain,
( r1_orders_2(sK4,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_51
| ~ spl335_52
| ~ spl335_62 ),
inference(resolution,[],[f24979,f21258]) ).
fof(f25027,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ l1_orders_2(sK4)
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25019,f24685]) ).
fof(f25032,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25027,f20870]) ).
fof(f25035,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25032,f23551]) ).
fof(f25038,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK4))
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25035,f24632]) ).
fof(f25040,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK4))
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25038,f23551]) ).
fof(f25042,plain,
( $false
| ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25040,f24639]) ).
fof(f25043,plain,
( ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(avatar_contradiction_clause,[],[f25042]) ).
fof(f25062,plain,
( sK103(k1_latsum_1(sK4,sK5)) != sK103(k1_latsum_1(sK4,sK5))
| v4_orders_2(k1_latsum_1(sK4,sK5))
| ~ l1_orders_2(k1_latsum_1(sK4,sK5))
| ~ spl335_56 ),
inference(superposition,[],[f21328,f24688]) ).
fof(f25063,plain,
( v4_orders_2(k1_latsum_1(sK4,sK5))
| ~ l1_orders_2(k1_latsum_1(sK4,sK5))
| ~ spl335_56 ),
inference(trivial_inequality_removal,[],[f25062]) ).
fof(f25064,plain,
( ~ l1_orders_2(k1_latsum_1(sK4,sK5))
| ~ spl335_56 ),
inference(forward_subsumption_resolution,[],[f25063,f20881]) ).
fof(f25065,plain,
( ~ spl335_41
| ~ spl335_56 ),
inference(avatar_split_clause,[],[f25064,f24687,f24447]) ).
fof(f25074,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24584,f24965]) ).
fof(f25075,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f24957,f24467]) ).
fof(f25084,plain,
( ~ r2_hidden(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ spl335_44
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25074,f23552]) ).
fof(f25085,plain,
( ~ r2_hidden(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ spl335_45
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25075,f23552]) ).
fof(f25088,plain,
( r2_hidden(k4_tarski(sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25084,f24467]) ).
fof(f25089,plain,
( r2_hidden(k4_tarski(sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5))),u1_orders_2(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25085,f24965]) ).
fof(f25102,plain,
( m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| spl335_52
| ~ spl335_62 ),
inference(resolution,[],[f24965,f20928]) ).
fof(f25109,plain,
( m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| ~ spl335_45 ),
inference(resolution,[],[f24467,f20928]) ).
fof(f25118,plain,
( r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(resolution,[],[f25089,f21258]) ).
fof(f25126,plain,
( r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25118,f20871]) ).
fof(f25131,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25126,f23552]) ).
fof(f25134,plain,
( r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25131,f25102]) ).
fof(f25137,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25134,f23552]) ).
fof(f25139,plain,
( r1_orders_2(sK5,sK103(k1_latsum_1(sK4,sK5)),sK104(k1_latsum_1(sK4,sK5)))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25137,f25109]) ).
fof(f25141,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ v4_orders_2(sK5)
| ~ l1_orders_2(sK5)
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(resolution,[],[f25139,f21360]) ).
fof(f25147,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25141,f20872]) ).
fof(f25148,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25147,f20871]) ).
fof(f25149,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25148,f23552]) ).
fof(f25150,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25149,f25102]) ).
fof(f25151,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_demodulation,[],[f25150,f23552]) ).
fof(f25152,plain,
( sK104(k1_latsum_1(sK4,sK5)) = sK103(k1_latsum_1(sK4,sK5))
| ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(forward_subsumption_resolution,[],[f25151,f25109]) ).
fof(f25154,definition,
( spl335_70
<=> r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5))) ),
introduced(definition,[new_symbols(definition,[spl335_70])],[avatar_definition]) ).
fof(f25155,plain,
( ~ r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| spl335_70 ),
inference(avatar_component_clause,[],[f25154]) ).
fof(f25156,plain,
( ~ spl335_70
| spl335_56
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(avatar_split_clause,[],[f25152,f24853,f24607,f24466,f24687,f25154]) ).
fof(f25169,plain,
( r1_orders_2(sK5,sK104(k1_latsum_1(sK4,sK5)),sK103(k1_latsum_1(sK4,sK5)))
| ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62 ),
inference(resolution,[],[f25088,f21258]) ).
fof(f25177,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ l1_orders_2(sK5)
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_subsumption_resolution,[],[f25169,f25155]) ).
fof(f25182,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_subsumption_resolution,[],[f25177,f20871]) ).
fof(f25185,plain,
( ~ m1_subset_1(sK103(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_demodulation,[],[f25182,f23552]) ).
fof(f25188,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),u1_struct_0(sK5))
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_subsumption_resolution,[],[f25185,f25109]) ).
fof(f25190,plain,
( ~ m1_subset_1(sK104(k1_latsum_1(sK4,sK5)),k2_pre_topc(sK5))
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_demodulation,[],[f25188,f23552]) ).
fof(f25192,plain,
( $false
| ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(forward_subsumption_resolution,[],[f25190,f25102]) ).
fof(f25193,plain,
( ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(avatar_contradiction_clause,[],[f25192]) ).
cnf(s32,plain,
( ~ spl335_41
| ~ spl335_42
| ~ spl335_43
| spl335_44 ),
inference(sat_conversion,[],[f24458]) ).
cnf(s35,plain,
spl335_42,
inference(sat_conversion,[],[f24478]) ).
cnf(s37,plain,
spl335_43,
inference(sat_conversion,[],[f24485]) ).
cnf(s39,plain,
spl335_41,
inference(sat_conversion,[],[f24491]) ).
cnf(s44,plain,
( ~ spl335_44
| spl335_45
| spl335_51 ),
inference(sat_conversion,[],[f24600]) ).
cnf(s45,plain,
( ~ spl335_44
| spl335_51
| ~ spl335_52 ),
inference(sat_conversion,[],[f24609]) ).
cnf(s46,plain,
( ~ spl335_44
| ~ spl335_51
| ~ spl335_52
| spl335_53 ),
inference(sat_conversion,[],[f24614]) ).
cnf(s50,plain,
( ~ spl335_51
| ~ spl335_52
| ~ spl335_53
| ~ spl335_55
| spl335_56 ),
inference(sat_conversion,[],[f24689]) ).
cnf(s56,plain,
( ~ spl335_41
| ~ spl335_42
| ~ spl335_43
| spl335_62 ),
inference(sat_conversion,[],[f24855]) ).
cnf(s63,plain,
( ~ spl335_51
| spl335_52
| ~ spl335_62 ),
inference(sat_conversion,[],[f24974]) ).
cnf(s64,plain,
( ~ spl335_51
| ~ spl335_52
| spl335_55
| ~ spl335_62 ),
inference(sat_conversion,[],[f25043]) ).
cnf(s65,plain,
( ~ spl335_41
| ~ spl335_56 ),
inference(sat_conversion,[],[f25065]) ).
cnf(s67,plain,
( ~ spl335_45
| spl335_52
| spl335_56
| ~ spl335_62
| ~ spl335_70 ),
inference(sat_conversion,[],[f25156]) ).
cnf(s68,plain,
( ~ spl335_44
| ~ spl335_45
| spl335_52
| ~ spl335_62
| spl335_70 ),
inference(sat_conversion,[],[f25193]) ).
cnf(s69,plain,
~ spl335_56,
inference(rat,[],[s65,s39]) ).
cnf(s70,plain,
spl335_62,
inference(rat,[],[s56,s37,s39,s35]) ).
cnf(s76,plain,
spl335_44,
inference(rat,[],[s32,s37,s35,s39]) ).
cnf(s86,plain,
( ~ spl335_51
| ~ spl335_52 ),
inference(rat,[],[s50,s64,s46,s76,s70,s69]) ).
cnf(s87,plain,
~ spl335_51,
inference(rat,[],[s86,s63,s70]) ).
cnf(s88,plain,
~ spl335_52,
inference(rat,[],[s45,s76,s87]) ).
cnf(s89,plain,
spl335_45,
inference(rat,[],[s44,s76,s87]) ).
cnf(s92,plain,
spl335_70,
inference(rat,[],[s68,s88,s70,s76,s89]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s67,s88,s70,s69,s92,s89]) ).
fof(f25194,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU414+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.43 % Computer : n016.cluster.edu
% 0.14/0.43 % Model : x86_64 x86_64
% 0.14/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.43 % Memory : 8046.5625MB
% 0.14/0.43 % OS : Linux 6.8.0-71-generic
% 0.14/0.43 % CPULimit : 300
% 0.14/0.43 % WCLimit : 300
% 0.14/0.43 % DateTime : Mon Sep 28 05:20:06 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.47 Running first-order theorem proving
% 0.14/0.47 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
% 17.94/4.28 % (3278430)Detected formulas, will run a generic FOF schedule.
% 17.94/4.28 % (3278447)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=700309380:i=119:av=off:ss=axioms_2992 on theBenchmark for (2992ds/119Mi)
% 17.94/4.28 % (3278444)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=3219178063:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2992 on theBenchmark for (2992ds/134677Mi)
% 17.94/4.28 % (3278445)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=901471186:i=141695:sd=1:nm=32:gsp=on:ss=included_2992 on theBenchmark for (2992ds/141695Mi)
% 17.94/4.28 % (3278443)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=4057829895:i=141193_2992 on theBenchmark for (2992ds/141193Mi)
% 17.94/4.28 % (3278446)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3228991295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2992 on theBenchmark for (2992ds/109Mi)
% 17.94/4.28 % (3278447)Instruction limit reached!
% 17.94/4.28 % (3278447)------------------------------
% 17.94/4.28 % (3278447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.28 % (3278447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.28 % (3278447)CaDiCaL version: 2.1.3
% 17.94/4.28 % (3278447)Termination reason: Instruction limit
% 17.94/4.28 % (3278447)Termination phase: Preprocessing 1
% 17.94/4.28 % (3278447)Time elapsed: 0.097 s
% 17.94/4.28 % (3278447)Peak memory usage: 113 MB
% 17.94/4.28 % (3278447)Instructions burned: 119 (million)
% 17.94/4.28 % (3278449)dis-21_1_sil=8000:lcm=predicate:random_seed=4230567155:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2992 on theBenchmark for (2992ds/129Mi)
% 17.94/4.28 % (3278448)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3123882822:s2a=on:i=139:gtg=position_2992 on theBenchmark for (2992ds/139Mi)
% 17.94/4.28 % (3278446)Instruction limit reached!
% 17.94/4.28 % (3278446)------------------------------
% 17.94/4.28 % (3278446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278446)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278446)Termination reason: Instruction limit
% 17.94/4.29 % (3278446)Termination phase: SInE selection
% 17.94/4.29 % (3278446)Time elapsed: 0.121 s
% 17.94/4.29 % (3278446)Peak memory usage: 112 MB
% 17.94/4.29 % (3278446)Instructions burned: 109 (million)
% 17.94/4.29 % (3278448)Instruction limit reached!
% 17.94/4.29 % (3278448)------------------------------
% 17.94/4.29 % (3278448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278448)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278448)Termination reason: Instruction limit
% 17.94/4.29 % (3278448)Termination phase: Property scanning
% 17.94/4.29 % (3278448)Time elapsed: 0.117 s
% 17.94/4.29 % (3278448)Peak memory usage: 112 MB
% 17.94/4.29 % (3278448)Instructions burned: 140 (million)
% 17.94/4.29 % (3278449)Instruction limit reached!
% 17.94/4.29 % (3278449)------------------------------
% 17.94/4.29 % (3278449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278449)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278449)Termination reason: Instruction limit
% 17.94/4.29 % (3278449)Termination phase: SInE selection
% 17.94/4.29 % (3278449)Time elapsed: 0.129 s
% 17.94/4.29 % (3278449)Peak memory usage: 112 MB
% 17.94/4.29 % (3278449)Instructions burned: 129 (million)
% 17.94/4.29 % (3278457)lrs+10_1_sil=8000:sp=occurrence:random_seed=2092932080:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 17.94/4.29 % (3278458)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1181076306:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 17.94/4.29 % (3278458)Instruction limit reached!
% 17.94/4.29 % (3278458)------------------------------
% 17.94/4.29 % (3278458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278458)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278458)Termination reason: Instruction limit
% 17.94/4.29 % (3278458)Termination phase: Property scanning
% 17.94/4.29 % (3278458)Time elapsed: 0.131 s
% 17.94/4.29 % (3278458)Peak memory usage: 112 MB
% 17.94/4.29 % (3278458)Instructions burned: 158 (million)
% 17.94/4.29 % (3278459)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2329653621:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 17.94/4.29 % (3278457)Instruction limit reached!
% 17.94/4.29 % (3278457)------------------------------
% 17.94/4.29 % (3278457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278457)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278457)Termination reason: Instruction limit
% 17.94/4.29 % (3278457)Termination phase: Saturation
% 17.94/4.29 % (3278457)Time elapsed: 0.195 s
% 17.94/4.29 % (3278457)Peak memory usage: 119 MB
% 17.94/4.29 % (3278457)Instructions burned: 286 (million)
% 17.94/4.29 % (3278460)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=4175525528:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 17.94/4.29 % (3278460)Instruction limit reached!
% 17.94/4.29 % (3278460)------------------------------
% 17.94/4.29 % (3278460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278460)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278460)Termination reason: Instruction limit
% 17.94/4.29 % (3278460)Termination phase: Property scanning
% 17.94/4.29 % (3278460)Time elapsed: 0.207 s
% 17.94/4.29 % (3278460)Peak memory usage: 112 MB
% 17.94/4.29 % (3278460)Instructions burned: 249 (million)
% 17.94/4.29 % (3278459)Instruction limit reached!
% 17.94/4.29 % (3278459)------------------------------
% 17.94/4.29 % (3278459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278459)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278459)Termination reason: Instruction limit
% 17.94/4.29 % (3278459)Termination phase: Saturation
% 17.94/4.29 % (3278459)Time elapsed: 0.228 s
% 17.94/4.29 % (3278459)Peak memory usage: 120 MB
% 17.94/4.29 % (3278459)Instructions burned: 326 (million)
% 17.94/4.29 % (3278465)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2251580395:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 17.94/4.29 % (3278464)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3660631955:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 17.94/4.29 % (3278469)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=362773559:cts=off:i=113:fsr=off:ss=included:sgt=4_2982 on theBenchmark for (2982ds/113Mi)
% 17.94/4.29 % (3278470)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3155401538:i=127:av=off:fsr=off:sup=off_2982 on theBenchmark for (2982ds/127Mi)
% 17.94/4.29 % (3278469)Instruction limit reached!
% 17.94/4.29 % (3278469)------------------------------
% 17.94/4.29 % (3278469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278469)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278469)Termination reason: Instruction limit
% 17.94/4.29 % (3278469)Termination phase: SInE selection
% 17.94/4.29 % (3278469)Time elapsed: 0.084 s
% 17.94/4.29 % (3278469)Peak memory usage: 112 MB
% 17.94/4.29 % (3278469)Instructions burned: 113 (million)
% 17.94/4.29 % (3278464)Instruction limit reached!
% 17.94/4.29 % (3278464)------------------------------
% 17.94/4.29 % (3278464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278464)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278464)Termination reason: Instruction limit
% 17.94/4.29 % (3278464)Termination phase: Property scanning
% 17.94/4.29 % (3278464)Time elapsed: 0.335 s
% 17.94/4.29 % (3278464)Peak memory usage: 120 MB
% 17.94/4.29 % (3278464)Instructions burned: 295 (million)
% 17.94/4.29 % (3278470)Instruction limit reached!
% 17.94/4.29 % (3278470)------------------------------
% 17.94/4.29 % (3278470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278470)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278470)Termination reason: Instruction limit
% 17.94/4.29 % (3278470)Termination phase: Preprocessing 1
% 17.94/4.29 % (3278470)Time elapsed: 0.117 s
% 17.94/4.29 % (3278470)Peak memory usage: 113 MB
% 17.94/4.29 % (3278470)Instructions burned: 127 (million)
% 17.94/4.29 % (3278475)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=250033345:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2979 on theBenchmark for (2979ds/114Mi)
% 17.94/4.29 % (3278475)Instruction limit reached!
% 17.94/4.29 % (3278475)------------------------------
% 17.94/4.29 % (3278475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278475)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278475)Termination reason: Instruction limit
% 17.94/4.29 % (3278475)Termination phase: Property scanning
% 17.94/4.29 % (3278475)Time elapsed: 0.055 s
% 17.94/4.29 % (3278475)Peak memory usage: 112 MB
% 17.94/4.29 % (3278475)Instructions burned: 115 (million)
% 17.94/4.29 % (3278476)lrs+10_1_sil=8000:sp=occurrence:random_seed=2006386043:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2979 on theBenchmark for (2979ds/907Mi)
% 17.94/4.29 % (3278477)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=397734274:i=437:sd=1:aac=none:ss=included_2978 on theBenchmark for (2978ds/437Mi)
% 17.94/4.29 % (3278479)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4042612410:i=5202:ss=axioms:sgt=16_2976 on theBenchmark for (2976ds/5202Mi)
% 17.94/4.29 % (3278477)Instruction limit reached!
% 17.94/4.29 % (3278477)------------------------------
% 17.94/4.29 % (3278477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.94/4.29 % (3278477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.94/4.29 % (3278477)CaDiCaL version: 2.1.3
% 17.94/4.29 % (3278477)Termination reason: Instruction limit
% 17.94/4.29 % (3278477)Termination phase: Saturation
% 17.94/4.29 % (3278477)Time elapsed: 0.477 s
% 17.94/4.29 % (3278477)Peak memory usage: 120 MB
% 17.94/4.29 % (3278477)Instructions burned: 437 (million)
% 17.94/4.29 % (3278444)First to succeed.
% 17.94/4.29 % (3278444)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3278430"
% 17.94/4.29 % (3278444)Refutation found. Thanks to Tanya!
% 17.94/4.29 % SZS status Theorem for theBenchmark
% 17.94/4.29 % SZS output start Proof for theBenchmark
% See solution above
% 18.63/4.49 % (3278444)------------------------------
% 18.63/4.49 % (3278444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.63/4.49 % (3278444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.63/4.49 % (3278444)CaDiCaL version: 2.1.3
% 18.63/4.49 % (3278444)Termination reason: Refutation
% 18.63/4.49 % (3278444)Time elapsed: 1.892 s
% 18.63/4.49 % (3278444)Peak memory usage: 179 MB
% 18.63/4.49 % (3278444)Instructions burned: 2288 (million)
% 18.63/4.49 % (3278444)------------------------------
% 18.63/4.49 % (3278444)------------------------------
% 18.63/4.49 % (3278430)Success in time 3.217 s
% 18.63/4.49 % Vampire exiting
%------------------------------------------------------------------------------