%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:59:26 PM UTC 2026
% Result : Theorem 3.55s 1.18s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 114 ( 28 unt; 0 def)
% Number of atoms : 444 ( 29 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 578 ( 248 ~; 236 |; 77 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 90 !; 5 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f45,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f48,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_yellow_0(X0) )
=> ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f53,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_orders_2(X0) )
=> ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f55,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0) )
=> ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f57,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v4_orders_2(X0) )
=> ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f62,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0) )
=> ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f99,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f102,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f106,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ~ v3_struct_0(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f108,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& ~ v1_xboole_0(X1) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_waybel13) ).
fof(f111,plain,
? [X0] :
( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1)
& k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f112,plain,
? [X0] :
( l1_orders_2(X0)
& v2_lattice3(X0)
& v2_yellow_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0)))))
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& ~ v1_xboole_0(X1)
& k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1) ) ),
inference(flattening,[],[f111]) ).
fof(f134,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f135,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f134]) ).
fof(f153,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ( l1_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f32]) ).
fof(f159,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f160,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| ( v1_yellow_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(flattening,[],[f159]) ).
fof(f165,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f166,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| ( v2_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(flattening,[],[f165]) ).
fof(f169,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f170,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ( v3_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(flattening,[],[f169]) ).
fof(f173,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f57]) ).
fof(f174,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ( v4_orders_2(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0)) ) ),
inference(flattening,[],[f173]) ).
fof(f183,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
inference(ennf_transformation,[],[f62]) ).
fof(f184,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ( v1_lattice3(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& ~ v3_struct_0(k7_lattice3(X0)) ) ),
inference(flattening,[],[f183]) ).
fof(f223,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f99]) ).
fof(f224,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f223]) ).
fof(f227,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f102]) ).
fof(f228,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f227]) ).
fof(f232,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(ennf_transformation,[],[f106]) ).
fof(f233,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(flattening,[],[f232]) ).
fof(f235,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f236,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
inference(flattening,[],[f235]) ).
fof(f241,plain,
( l1_orders_2(sK2)
& v2_lattice3(sK2)
& v2_yellow_0(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
& v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
& ~ v1_xboole_0(sK3)
& k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f112]) ).
fof(f246,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f45]) ).
fof(f277,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f278,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f279,plain,
v2_yellow_0(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f280,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f281,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f282,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f241]) ).
fof(f283,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),
inference(cnf_transformation,[],[f241]) ).
fof(f284,plain,
v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2))),
inference(cnf_transformation,[],[f241]) ).
fof(f285,plain,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f241]) ).
fof(f286,plain,
k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3),
inference(cnf_transformation,[],[f241]) ).
fof(f325,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f345,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f153]) ).
fof(f353,plain,
! [X0] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f246]) ).
fof(f359,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0)
| v1_yellow_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f160]) ).
fof(f365,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_orders_2(X0)
| v2_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f378,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| v3_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f170]) ).
fof(f382,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| v4_orders_2(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f394,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| v1_lattice3(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f526,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f530,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f228]) ).
fof(f534,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| v3_struct_0(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f536,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v1_lattice3(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| v1_xboole_0(X1)
| k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) ),
inference(cnf_transformation,[],[f236]) ).
tcf(c_49,negated_conjecture,
k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3),
inference(cnf_transformation,[],[f286]) ).
tcf(c_50,negated_conjecture,
~ v1_xboole_0(sK3),
inference(cnf_transformation,[],[f285]) ).
tcf(c_51,negated_conjecture,
v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2))),
inference(cnf_transformation,[],[f284]) ).
tcf(c_52,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),
inference(cnf_transformation,[],[f283]) ).
tcf(c_53,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f282]) ).
tcf(c_54,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f281]) ).
tcf(c_55,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f280]) ).
tcf(c_56,negated_conjecture,
v2_yellow_0(sK2),
inference(cnf_transformation,[],[f279]) ).
tcf(c_57,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f278]) ).
tcf(c_58,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f277]) ).
tcf(c_83,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_101,plain,
! [X0: $i] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_108,plain,
! [X0: $i] : m1_subset_1(sK7(X0),X0),
inference(cnf_transformation,[],[f353]) ).
tcf(c_115,plain,
! [X0: $i] :
( v1_yellow_0(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_yellow_0(X0) ),
inference(cnf_transformation,[],[f359]) ).
tcf(c_121,plain,
! [X0: $i] :
( v2_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f365]) ).
tcf(c_134,plain,
! [X0: $i] :
( v3_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0) ),
inference(cnf_transformation,[],[f378]) ).
tcf(c_138,plain,
! [X0: $i] :
( v4_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(cnf_transformation,[],[f382]) ).
tcf(c_151,plain,
! [X0: $i] :
( v1_lattice3(k7_lattice3(X0))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f394]) ).
tcf(c_281,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f526]) ).
tcf(c_285,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f530]) ).
tcf(c_289,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ( k8_waybel_0(k7_lattice3(X0)) = k9_waybel_0(X0) )
| ~ l1_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0) ),
inference(cnf_transformation,[],[f534]) ).
tcf(c_291,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X0)
| ( k1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),X0) = k3_tarski(X0) )
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X1))))) ),
inference(cnf_transformation,[],[f536]) ).
tcf(c_438,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_58,c_83]) ).
tcf(c_741,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK7(X0),X0) ),
inference(superposition,[status(thm)],[c_108,c_281]) ).
tcf(c_928,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK7(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_108,c_285]) ).
tcf(c_961,plain,
( v3_struct_0(sK2)
| ( k8_waybel_0(k7_lattice3(sK2)) = k9_waybel_0(sK2) )
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2) ),
inference(superposition,[status(thm)],[c_58,c_289]) ).
tcf(c_1021,plain,
! [X0: $i] :
( v1_xboole_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))))
| ( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))) = k3_tarski(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))) )
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ v1_waybel_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))),k2_yellow_1(k8_waybel_0(X0))) ),
inference(superposition,[status(thm)],[c_108,c_291]) ).
tcf(c_1143,plain,
! [X0: $i] :
( v1_xboole_0(sK7(k1_zfmisc_1(X0)))
| m1_subset_1(sK7(sK7(k1_zfmisc_1(X0))),X0) ),
inference(superposition,[status(thm)],[c_741,c_928]) ).
tcf(c_1189,plain,
k8_waybel_0(k7_lattice3(sK2)) = k9_waybel_0(sK2),
inference(global_subsumption_just,[status(thm)],[c_961,c_57,c_54,c_53,c_438,c_961]) ).
tcf(c_1191,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))),X0) = k3_tarski(X0) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))) ),
inference(superposition,[status(thm)],[c_1189,c_291]) ).
tcf(c_1276,plain,
( v1_xboole_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2)))))))
| ( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))),sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))))))) = k3_tarski(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))))))) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),k2_yellow_1(k9_waybel_0(sK2))) ),
inference(superposition,[status(thm)],[c_1189,c_1021]) ).
tcf(c_1440,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),X0) = k3_tarski(X0) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(X0,k2_yellow_1(k9_waybel_0(sK2)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))) ),
inference(light_normalisation,[status(thm)],[c_1191,c_1189]) ).
tcf(c_1461,plain,
( v1_xboole_0(sK3)
| ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) = k3_tarski(sK3) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2))) ),
inference(superposition,[status(thm)],[c_52,c_1440]) ).
tcf(c_1462,plain,
( v1_xboole_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))))
| ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))) = k3_tarski(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(sK7(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))),k2_yellow_1(k9_waybel_0(sK2))) ),
inference(superposition,[status(thm)],[c_108,c_1440]) ).
tcf(c_1463,plain,
( v1_xboole_0(sK7(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))))
| v1_xboole_0(sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))))))
| ( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))))) = k3_tarski(sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))))) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(sK7(sK7(k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))))),k2_yellow_1(k9_waybel_0(sK2))) ),
inference(superposition,[status(thm)],[c_1143,c_1440]) ).
tcf(c_1595,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1276,c_50,c_51,c_49,c_1461]) ).
tcf(c_1609,plain,
( ~ l1_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2)) ),
inference(superposition,[status(thm)],[c_121,c_1595]) ).
tcf(c_1827,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1461,c_58,c_53,c_1609]) ).
tcf(c_1839,plain,
( ~ l1_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2)) ),
inference(superposition,[status(thm)],[c_134,c_1827]) ).
tcf(c_1840,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1462,c_58,c_54,c_1839]) ).
tcf(c_1850,plain,
( ~ l1_orders_2(sK2)
| ~ v4_orders_2(sK2)
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) ),
inference(superposition,[status(thm)],[c_138,c_1840]) ).
tcf(c_1851,plain,
( ~ l1_orders_2(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1463,c_58,c_55,c_1850]) ).
tcf(c_1852,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) ),
inference(renaming,[status(thm)],[c_1851]) ).
tcf(c_1859,plain,
( ~ l1_orders_2(sK2)
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2)) ),
inference(superposition,[status(thm)],[c_101,c_1852]) ).
tcf(c_1966,plain,
( v3_struct_0(sK2)
| ( k8_waybel_0(k7_lattice3(sK2)) = k9_waybel_0(sK2) )
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2) ),
inference(superposition,[status(thm)],[c_58,c_289]) ).
tcf(c_2402,plain,
k8_waybel_0(k7_lattice3(sK2)) = k9_waybel_0(sK2),
inference(global_subsumption_just,[status(thm)],[c_1966,c_57,c_54,c_53,c_438,c_961]) ).
tcf(c_2404,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ( k1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))),X0) = k3_tarski(X0) )
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v1_waybel_0(X0,k2_yellow_1(k8_waybel_0(k7_lattice3(sK2))))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2))))) ),
inference(superposition,[status(thm)],[c_2402,c_291]) ).
tcf(c_2499,plain,
( ~ v1_yellow_0(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2)) ),
inference(global_subsumption_just,[status(thm)],[c_1859,c_58,c_1859]) ).
tcf(c_2500,plain,
( ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2)) ),
inference(renaming,[status(thm)],[c_2499]) ).
tcf(c_2506,plain,
( ~ l1_orders_2(sK2)
| ~ v2_yellow_0(sK2)
| ~ v1_lattice3(k7_lattice3(sK2)) ),
inference(superposition,[status(thm)],[c_115,c_2500]) ).
tcf(c_2781,plain,
~ v1_lattice3(k7_lattice3(sK2)),
inference(global_subsumption_just,[status(thm)],[c_2404,c_58,c_56,c_2506]) ).
tcf(c_2784,plain,
( ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_151,c_2781]) ).
tcf(c_2785,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2784,c_57,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 21:15:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.41
% 0.14/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.41
% 0.14/0.41 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 3.55/1.18 % SZS status Started for theBenchmark.p
% 3.55/1.18 % SZS status Theorem for theBenchmark.p
% 3.55/1.18
% 3.55/1.18 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.55/1.18
% 3.55/1.18 % ------ iProver source info
% 3.55/1.18
% 3.55/1.18 % git: date: 2026-07-19 20:42:38 +0200
% 3.55/1.18 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.55/1.18 % git: non_committed_changes: false
% 3.55/1.18
% 3.55/1.18 % ------ Parsing...
% 3.55/1.18 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.55/1.18 % ------ Proving...
% 3.55/1.18 % ------ Problem Properties
% 3.55/1.18
% 3.55/1.18 %
% 3.55/1.18 % clauses 243
% 3.55/1.18 % conjectures 10
% 3.55/1.18 % EPR 102
% 3.55/1.18 % Horn 192
% 3.55/1.18 % unary 75
% 3.55/1.18 % binary 51
% 3.55/1.18 % lits 688
% 3.55/1.18 % lits eq 20
% 3.55/1.18 % fd_pure 0
% 3.55/1.18 % fd_pseudo 0
% 3.55/1.18 % fd_cond 1
% 3.55/1.18 % fd_pseudo_cond 5
% 3.55/1.18 % AC symbols 0
% 3.55/1.18
% 3.55/1.18 % ------ Input Options Time Limit: Unbounded
% 3.55/1.18
% 3.55/1.18
% 3.55/1.18 % ------
% 3.55/1.18 % Current options:
% 3.55/1.18 % ------
% 3.55/1.18
% 3.55/1.18
% 3.55/1.18 %
% 3.55/1.18
% 3.55/1.18 % ------ Proving...
% 3.55/1.18 %
% 3.55/1.18
% 3.55/1.18 % ------ Proving...
% 3.55/1.18 %
% 3.55/1.18
% 3.55/1.18 % SZS status Theorem for theBenchmark.p
% 3.55/1.18
% 3.55/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.55/1.19
% 3.55/1.19
%------------------------------------------------------------------------------