%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP047+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 03:55:29 PM UTC 2026
% Result : Theorem 8.76s 2.01s
% Output : CNFRefutation 8.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 23
% Syntax : Number of formulae : 197 ( 89 unt; 10 def)
% Number of atoms : 838 ( 127 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 846 ( 348 ~; 358 |; 112 &)
% ( 5 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 28 ( 26 usr; 11 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 161 ( 0 sgn 157 !; 4 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ( v1_pre_topc(X0)
=> X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v1_pre_topc) ).
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(f23,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f24,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m4_yellow_6(X1,X0)
=> ! [X2] :
( ( l1_pre_topc(X2)
& v1_pre_topc(X2) )
=> ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X2) = u1_struct_0(X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(f28,axiom,
! [X0,X1] :
( ( m4_yellow_6(X1,X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f34,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f44,axiom,
! [X0] :
( l1_orders_2(X0)
=> m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f61,axiom,
! [X0,X1] :
( ( m4_yellow_6(X1,X0)
& l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f68,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f70,axiom,
! [X0] :
( ( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0) )
=> ! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f93,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f126,plain,
? [X0] :
( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1)) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f127,plain,
? [X0] :
( l1_orders_2(X0)
& v2_lattice3(X0)
& v25_waybel_0(X0)
& v24_waybel_0(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& ? [X1] :
( l1_orders_2(X1)
& v2_lattice3(X1)
& v25_waybel_0(X1)
& v24_waybel_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1)) ) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v1_pre_topc(X0)
| X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f131,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v1_pre_topc(X0)
| X0 = g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) ),
inference(flattening,[],[f130]) ).
fof(f146,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f147,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(flattening,[],[f146]) ).
fof(f160,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m4_yellow_6(X1,X0)
| ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X2) = u1_struct_0(X0) ) ) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f161,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m4_yellow_6(X1,X0)
| ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X2) = u1_struct_0(X0) ) ) ) ) ),
inference(flattening,[],[f160]) ).
fof(f164,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f165,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( l1_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1)) ) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m4_yellow_6(k3_waybel28(X0),X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f167,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m4_yellow_6(k3_waybel28(X0),X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f172,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f44]) ).
fof(f183,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f184,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( v2_pre_topc(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& ~ v3_struct_0(k14_yellow_6(X0,X1)) ) ),
inference(flattening,[],[f183]) ).
fof(f189,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| ! [X2,X3] :
( g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| ( X1 = X3
& X0 = X2 ) ) ),
inference(ennf_transformation,[],[f68]) ).
fof(f191,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f192,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ! [X1] :
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ),
inference(flattening,[],[f191]) ).
fof(f221,plain,
( l1_orders_2(sK2)
& v2_lattice3(sK2)
& v25_waybel_0(sK2)
& v24_waybel_0(sK2)
& v4_orders_2(sK2)
& v3_orders_2(sK2)
& v2_orders_2(sK2)
& l1_orders_2(sK3)
& v2_lattice3(sK3)
& v25_waybel_0(sK3)
& v24_waybel_0(sK3)
& v4_orders_2(sK3)
& v3_orders_2(sK3)
& v2_orders_2(sK3)
& g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3))
& k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f127]) ).
fof(f222,plain,
! [X0,X1] :
( ( X0 != X1
| ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) )
& ( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f223,plain,
! [X0,X1] :
( ( X0 != X1
| ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) )
& ( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f222]) ).
fof(f224,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m4_yellow_6(X1,X0)
| ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ( ( k14_yellow_6(X0,X1) != X2
| ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X2) = u1_struct_0(X0) ) )
& ( u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(X2)
| X2 = k14_yellow_6(X0,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f161]) ).
fof(f225,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m4_yellow_6(X1,X0)
| ! [X2] :
( ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| ( ( k14_yellow_6(X0,X1) != X2
| ( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
& u1_struct_0(X2) = u1_struct_0(X0) ) )
& ( u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(X2)
| X2 = k14_yellow_6(X0,X1) ) ) ) ) ),
inference(flattening,[],[f224]) ).
fof(f261,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f265,plain,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f266,plain,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f267,plain,
v25_waybel_0(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f268,plain,
v24_waybel_0(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f269,plain,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f270,plain,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f271,plain,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f221]) ).
fof(f272,plain,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f273,plain,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f274,plain,
v25_waybel_0(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f275,plain,
v24_waybel_0(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f276,plain,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f277,plain,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f278,plain,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f221]) ).
fof(f279,plain,
g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
inference(cnf_transformation,[],[f221]) ).
fof(f280,plain,
k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
inference(cnf_transformation,[],[f221]) ).
fof(f282,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 ),
inference(cnf_transformation,[],[f131]) ).
fof(f299,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v3_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f314,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f223]) ).
fof(f316,plain,
! [X2,X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| k14_yellow_6(X0,X1) != X2
| u1_struct_0(X0) = u1_struct_0(X2) ),
inference(cnf_transformation,[],[f225]) ).
fof(f323,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| l1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f324,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f165]) ).
fof(f325,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| m4_yellow_6(k3_waybel28(X0),X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f326,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f168]) ).
fof(f330,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f350,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| v1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f184]) ).
fof(f373,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f189]) ).
fof(f374,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,X0,X0)
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f189]) ).
fof(f377,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ),
inference(cnf_transformation,[],[f192]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f261]) ).
fof(f455,plain,
! [X0,X1] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1)) ),
inference(equality_resolution,[],[f316]) ).
tcf(c_49,negated_conjecture,
k14_yellow_6(sK2,k3_waybel28(sK2)) != k14_yellow_6(sK3,k3_waybel28(sK3)),
inference(cnf_transformation,[],[f280]) ).
tcf(c_50,negated_conjecture,
g1_orders_2(u1_struct_0(sK2),u1_orders_2(sK2)) = g1_orders_2(u1_struct_0(sK3),u1_orders_2(sK3)),
inference(cnf_transformation,[],[f279]) ).
tcf(c_51,negated_conjecture,
v2_orders_2(sK3),
inference(cnf_transformation,[],[f278]) ).
tcf(c_52,negated_conjecture,
v3_orders_2(sK3),
inference(cnf_transformation,[],[f277]) ).
tcf(c_53,negated_conjecture,
v4_orders_2(sK3),
inference(cnf_transformation,[],[f276]) ).
tcf(c_54,negated_conjecture,
v24_waybel_0(sK3),
inference(cnf_transformation,[],[f275]) ).
tcf(c_55,negated_conjecture,
v25_waybel_0(sK3),
inference(cnf_transformation,[],[f274]) ).
tcf(c_56,negated_conjecture,
v2_lattice3(sK3),
inference(cnf_transformation,[],[f273]) ).
tcf(c_57,negated_conjecture,
l1_orders_2(sK3),
inference(cnf_transformation,[],[f272]) ).
tcf(c_58,negated_conjecture,
v2_orders_2(sK2),
inference(cnf_transformation,[],[f271]) ).
tcf(c_59,negated_conjecture,
v3_orders_2(sK2),
inference(cnf_transformation,[],[f270]) ).
tcf(c_60,negated_conjecture,
v4_orders_2(sK2),
inference(cnf_transformation,[],[f269]) ).
tcf(c_61,negated_conjecture,
v24_waybel_0(sK2),
inference(cnf_transformation,[],[f268]) ).
tcf(c_62,negated_conjecture,
v25_waybel_0(sK2),
inference(cnf_transformation,[],[f267]) ).
tcf(c_63,negated_conjecture,
v2_lattice3(sK2),
inference(cnf_transformation,[],[f266]) ).
tcf(c_64,negated_conjecture,
l1_orders_2(sK2),
inference(cnf_transformation,[],[f265]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = X0 )
| ~ l1_pre_topc(X0)
| ~ v1_pre_topc(X0) ),
inference(cnf_transformation,[],[f282]) ).
tcf(c_76,plain,
! [X0: $i] :
( ~ v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0) ),
inference(cnf_transformation,[],[f299]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0) )
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f455]) ).
tcf(c_96,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_pre_topc(k14_yellow_6(X1,X0))
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X0,X1) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| l1_pre_topc(k14_yellow_6(X1,X0))
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X0,X1) ),
inference(cnf_transformation,[],[f323]) ).
tcf(c_98,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m4_yellow_6(k3_waybel28(X0),X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f325]) ).
tcf(c_99,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_103,plain,
! [X0: $i] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f330]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_pre_topc(k14_yellow_6(X1,X0))
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X0,X1) ),
inference(cnf_transformation,[],[f350]) ).
tcf(c_146,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ m1_relset_1(X1,X0,X0)
| ( g1_orders_2(X0,X1) != g1_orders_2(X2,X3) ) ),
inference(cnf_transformation,[],[f374]) ).
tcf(c_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ m1_relset_1(X1,X0,X0)
| ( g1_orders_2(X0,X1) != g1_orders_2(X2,X3) ) ),
inference(cnf_transformation,[],[f373]) ).
tcf(c_150,plain,
! [X0: $i,X1: $i] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X1)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X1)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) ) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_211,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f437]) ).
tcf(c_345,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_211]) ).
tcf(c_349,plain,
! [X0: $i] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(prop_impl_just,[status(thm)],[c_103]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( u1_struct_0(k14_yellow_6(X0,X1)) = u1_struct_0(X0) )
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| ~ l1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_90,c_96]) ).
tcf(c_1301,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( u1_struct_0(k14_yellow_6(X1,X0)) = u1_struct_0(X1) )
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_1289,c_97]) ).
tcf(c_2280,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l1_orders_2(X0)
| ( u1_orders_2(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( u1_struct_0(X0) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_345,c_349]) ).
tcf(c_2281,plain,
! [X0: $i] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(unflattening,[status(thm)],[c_2280]) ).
tcf(c_5907,plain,
! [X0: $i] :
( m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(prop_impl_just,[status(thm)],[c_2281]) ).
tcf(c_10550,definition,
iPr_def_10 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_10551,definition,
iPr_def_11 = u1_orders_2(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_10552,definition,
iPr_def_12 = g1_orders_2(iPr_def_10,iPr_def_11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_10553,definition,
iPr_def_13 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_10554,definition,
iPr_def_14 = u1_orders_2(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_10555,definition,
iPr_def_15 = g1_orders_2(iPr_def_13,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_10556,definition,
iPr_def_16 = k3_waybel28(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_10557,definition,
iPr_def_17 = k14_yellow_6(sK2,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_10558,definition,
iPr_def_18 = k3_waybel28(sK3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_10559,definition,
iPr_def_19 = k14_yellow_6(sK3,iPr_def_18),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_10560,negated_conjecture,
l1_orders_2(sK2),
inference(demodulation,[status(thm)],[c_64]) ).
tcf(c_10561,negated_conjecture,
v2_lattice3(sK2),
inference(demodulation,[status(thm)],[c_63]) ).
tcf(c_10562,negated_conjecture,
v25_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_62]) ).
tcf(c_10563,negated_conjecture,
v24_waybel_0(sK2),
inference(demodulation,[status(thm)],[c_61]) ).
tcf(c_10564,negated_conjecture,
v4_orders_2(sK2),
inference(demodulation,[status(thm)],[c_60]) ).
tcf(c_10565,negated_conjecture,
v3_orders_2(sK2),
inference(demodulation,[status(thm)],[c_59]) ).
tcf(c_10566,negated_conjecture,
v2_orders_2(sK2),
inference(demodulation,[status(thm)],[c_58]) ).
tcf(c_10567,negated_conjecture,
l1_orders_2(sK3),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_10568,negated_conjecture,
v2_lattice3(sK3),
inference(demodulation,[status(thm)],[c_56]) ).
tcf(c_10569,negated_conjecture,
v25_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_10570,negated_conjecture,
v24_waybel_0(sK3),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_10571,negated_conjecture,
v4_orders_2(sK3),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_10572,negated_conjecture,
v3_orders_2(sK3),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_10573,negated_conjecture,
v2_orders_2(sK3),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_10574,negated_conjecture,
iPr_def_12 = iPr_def_15,
inference(demodulation,[status(thm)],[c_50,c_10554,c_10553,c_10555,c_10551,c_10550,c_10552]) ).
tcf(c_10575,negated_conjecture,
iPr_def_17 != iPr_def_19,
inference(demodulation,[status(thm)],[c_49,c_10558,c_10559,c_10556,c_10557]) ).
tcf(c_12947,plain,
l1_struct_0(sK3),
inference(superposition,[status(thm)],[c_10567,c_99]) ).
tcf(c_12948,plain,
l1_struct_0(sK2),
inference(superposition,[status(thm)],[c_10560,c_99]) ).
tcf(c_12972,plain,
g1_orders_2(iPr_def_13,iPr_def_14) = iPr_def_12,
inference(light_normalisation,[status(thm)],[c_10555,c_10574]) ).
tcf(c_13058,plain,
( ~ v3_struct_0(sK3)
| ~ v2_lattice3(sK3) ),
inference(superposition,[status(thm)],[c_10567,c_76]) ).
tcf(c_13059,plain,
( ~ v3_struct_0(sK2)
| ~ v2_lattice3(sK2) ),
inference(superposition,[status(thm)],[c_10560,c_76]) ).
tcf(c_13064,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13059,c_10561]) ).
tcf(c_13065,plain,
~ v3_struct_0(sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13058,c_10568]) ).
tcf(c_13118,plain,
( v3_struct_0(sK2)
| m4_yellow_6(iPr_def_16,sK2)
| ~ l1_orders_2(sK2) ),
inference(superposition,[status(thm)],[c_10556,c_98]) ).
tcf(c_13119,plain,
( v3_struct_0(sK3)
| m4_yellow_6(iPr_def_18,sK3)
| ~ l1_orders_2(sK3) ),
inference(superposition,[status(thm)],[c_10558,c_98]) ).
tcf(c_13120,plain,
m4_yellow_6(iPr_def_18,sK3),
inference(forward_subsumption_resolution,[status(thm)],[c_13119,c_13065,c_10567]) ).
tcf(c_13121,plain,
m4_yellow_6(iPr_def_16,sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_13118,c_13064,c_10560]) ).
tcf(c_13467,plain,
( m1_relset_1(u1_orders_2(sK3),iPr_def_13,iPr_def_13)
| ~ l1_orders_2(sK3) ),
inference(superposition,[status(thm)],[c_10553,c_5907]) ).
tcf(c_13470,plain,
( m1_relset_1(iPr_def_14,iPr_def_13,iPr_def_13)
| ~ l1_orders_2(sK3) ),
inference(light_normalisation,[status(thm)],[c_13467,c_10554]) ).
tcf(c_13471,plain,
m1_relset_1(iPr_def_14,iPr_def_13,iPr_def_13),
inference(forward_subsumption_resolution,[status(thm)],[c_13470,c_10567]) ).
tcf(c_13754,plain,
( v3_struct_0(sK2)
| l1_pre_topc(iPr_def_17)
| ~ l1_struct_0(sK2)
| ~ m4_yellow_6(iPr_def_16,sK2) ),
inference(superposition,[status(thm)],[c_10557,c_97]) ).
tcf(c_13755,plain,
( v3_struct_0(sK3)
| l1_pre_topc(iPr_def_19)
| ~ l1_struct_0(sK3)
| ~ m4_yellow_6(iPr_def_18,sK3) ),
inference(superposition,[status(thm)],[c_10559,c_97]) ).
tcf(c_13758,plain,
l1_pre_topc(iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_13755,c_13065,c_12947,c_13120]) ).
tcf(c_13759,plain,
l1_pre_topc(iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_13754,c_13064,c_12948,c_13121]) ).
tcf(c_13780,plain,
( v3_struct_0(sK2)
| v1_pre_topc(iPr_def_17)
| ~ l1_struct_0(sK2)
| ~ m4_yellow_6(iPr_def_16,sK2) ),
inference(superposition,[status(thm)],[c_10557,c_123]) ).
tcf(c_13781,plain,
( v3_struct_0(sK3)
| v1_pre_topc(iPr_def_19)
| ~ l1_struct_0(sK3)
| ~ m4_yellow_6(iPr_def_18,sK3) ),
inference(superposition,[status(thm)],[c_10559,c_123]) ).
tcf(c_13782,plain,
v1_pre_topc(iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_13781,c_13065,c_12947,c_13120]) ).
tcf(c_13783,plain,
v1_pre_topc(iPr_def_17),
inference(forward_subsumption_resolution,[status(thm)],[c_13780,c_13064,c_12948,c_13121]) ).
tcf(c_13873,plain,
( ( g1_pre_topc(u1_struct_0(iPr_def_17),u1_pre_topc(iPr_def_17)) = iPr_def_17 )
| ~ l1_pre_topc(iPr_def_17) ),
inference(superposition,[status(thm)],[c_13783,c_66]) ).
tcf(c_13874,plain,
( ( g1_pre_topc(u1_struct_0(iPr_def_19),u1_pre_topc(iPr_def_19)) = iPr_def_19 )
| ~ l1_pre_topc(iPr_def_19) ),
inference(superposition,[status(thm)],[c_13782,c_66]) ).
tcf(c_13875,plain,
g1_pre_topc(u1_struct_0(iPr_def_19),u1_pre_topc(iPr_def_19)) = iPr_def_19,
inference(forward_subsumption_resolution,[status(thm)],[c_13874,c_13758]) ).
tcf(c_13876,plain,
g1_pre_topc(u1_struct_0(iPr_def_17),u1_pre_topc(iPr_def_17)) = iPr_def_17,
inference(forward_subsumption_resolution,[status(thm)],[c_13873,c_13759]) ).
tcf(c_14626,plain,
( v3_struct_0(sK2)
| ( u1_struct_0(k14_yellow_6(sK2,iPr_def_16)) = u1_struct_0(sK2) )
| ~ l1_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_13121,c_1301]) ).
tcf(c_14627,plain,
( v3_struct_0(sK3)
| ( u1_struct_0(k14_yellow_6(sK3,iPr_def_18)) = u1_struct_0(sK3) )
| ~ l1_struct_0(sK3) ),
inference(superposition,[status(thm)],[c_13120,c_1301]) ).
tcf(c_14628,plain,
( v3_struct_0(sK3)
| ( u1_struct_0(iPr_def_19) = iPr_def_13 )
| ~ l1_struct_0(sK3) ),
inference(light_normalisation,[status(thm)],[c_14627,c_10553,c_10559]) ).
tcf(c_14629,plain,
u1_struct_0(iPr_def_19) = iPr_def_13,
inference(forward_subsumption_resolution,[status(thm)],[c_14628,c_13065,c_12947]) ).
tcf(c_14630,plain,
( v3_struct_0(sK2)
| ( u1_struct_0(iPr_def_17) = iPr_def_10 )
| ~ l1_struct_0(sK2) ),
inference(light_normalisation,[status(thm)],[c_14626,c_10550,c_10557]) ).
tcf(c_14631,plain,
u1_struct_0(iPr_def_17) = iPr_def_10,
inference(forward_subsumption_resolution,[status(thm)],[c_14630,c_13064,c_12948]) ).
tcf(c_14639,plain,
g1_pre_topc(iPr_def_13,u1_pre_topc(iPr_def_19)) = iPr_def_19,
inference(demodulation,[status(thm)],[c_13875,c_14629]) ).
tcf(c_14640,plain,
g1_pre_topc(iPr_def_10,u1_pre_topc(iPr_def_17)) = iPr_def_17,
inference(demodulation,[status(thm)],[c_13876,c_14631]) ).
tcf(c_14853,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_13 )
| ~ m1_relset_1(iPr_def_14,iPr_def_13,iPr_def_13)
| ( g1_orders_2(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12972,c_146]) ).
tcf(c_14870,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_13 )
| ( g1_orders_2(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14853,c_13471]) ).
tcf(c_14932,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_14 )
| ~ m1_relset_1(iPr_def_14,iPr_def_13,iPr_def_13)
| ( g1_orders_2(X0,X1) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_12972,c_147]) ).
tcf(c_14949,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_14 )
| ( g1_orders_2(X0,X1) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14932,c_13471]) ).
tcf(c_15101,plain,
iPr_def_10 = iPr_def_13,
inference(superposition,[status(thm)],[c_10552,c_14870]) ).
tcf(c_15153,plain,
g1_orders_2(iPr_def_10,iPr_def_14) = iPr_def_12,
inference(demodulation,[status(thm)],[c_12972,c_15101]) ).
tcf(c_15154,plain,
u1_struct_0(sK3) = iPr_def_10,
inference(demodulation,[status(thm)],[c_10553,c_15101]) ).
tcf(c_15235,plain,
iPr_def_11 = iPr_def_14,
inference(superposition,[status(thm)],[c_10552,c_14949]) ).
tcf(c_15246,plain,
g1_orders_2(iPr_def_10,iPr_def_11) = iPr_def_12,
inference(demodulation,[status(thm)],[c_15153,c_15235]) ).
tcf(c_15249,plain,
u1_orders_2(sK3) = iPr_def_11,
inference(demodulation,[status(thm)],[c_10554,c_15235]) ).
tcf(c_15663,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2))),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_10551,c_150]) ).
tcf(c_15671,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(sK2,k3_waybel28(sK2))))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK2),iPr_def_11) ) ),
inference(superposition,[status(thm)],[c_10551,c_150]) ).
tcf(c_15703,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(iPr_def_17))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_15671,c_10550,c_10556,c_10557,c_15246]) ).
tcf(c_15704,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(iPr_def_17))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15703,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).
tcf(c_15764,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(sK2)
| ~ v2_lattice3(sK2)
| ~ v25_waybel_0(sK2)
| ~ v24_waybel_0(sK2)
| ~ v4_orders_2(sK2)
| ~ v3_orders_2(sK2)
| ~ v2_orders_2(sK2)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != iPr_def_12 ) ),
inference(light_normalisation,[status(thm)],[c_15663,c_10550,c_10556,c_10557,c_15246]) ).
tcf(c_15765,plain,
! [X0: $i] :
( r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))))
| ~ l1_orders_2(X0)
| ~ v2_lattice3(X0)
| ~ v25_waybel_0(X0)
| ~ v24_waybel_0(X0)
| ~ v4_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v2_orders_2(X0)
| ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != iPr_def_12 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_15764,c_10560,c_10561,c_10562,c_10563,c_10564,c_10565,c_10566]) ).
tcf(c_16393,plain,
g1_pre_topc(iPr_def_10,u1_pre_topc(iPr_def_19)) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_14639,c_15101]) ).
tcf(c_16561,plain,
( r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ( g1_orders_2(iPr_def_10,u1_orders_2(sK3)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15154,c_15765]) ).
tcf(c_16562,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))),u1_pre_topc(iPr_def_17))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3)
| ( g1_orders_2(iPr_def_10,u1_orders_2(sK3)) != iPr_def_12 ) ),
inference(superposition,[status(thm)],[c_15154,c_15704]) ).
tcf(c_16610,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))),u1_pre_topc(iPr_def_17))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3) ),
inference(ground_joinability,[status(thm)],[c_16562,c_15246,c_15249]) ).
tcf(c_16611,plain,
( r1_tarski(u1_pre_topc(iPr_def_19),u1_pre_topc(iPr_def_17))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3) ),
inference(light_normalisation,[status(thm)],[c_16610,c_10558,c_10559]) ).
tcf(c_16612,plain,
r1_tarski(u1_pre_topc(iPr_def_19),u1_pre_topc(iPr_def_17)),
inference(forward_subsumption_resolution,[status(thm)],[c_16611,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).
tcf(c_16613,plain,
( r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(k14_yellow_6(sK3,k3_waybel28(sK3))))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3) ),
inference(ground_joinability,[status(thm)],[c_16561,c_15246,c_15249]) ).
tcf(c_16614,plain,
( r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(iPr_def_19))
| ~ l1_orders_2(sK3)
| ~ v2_lattice3(sK3)
| ~ v25_waybel_0(sK3)
| ~ v24_waybel_0(sK3)
| ~ v4_orders_2(sK3)
| ~ v3_orders_2(sK3)
| ~ v2_orders_2(sK3) ),
inference(light_normalisation,[status(thm)],[c_16613,c_10558,c_10559]) ).
tcf(c_16615,plain,
r1_tarski(u1_pre_topc(iPr_def_17),u1_pre_topc(iPr_def_19)),
inference(forward_subsumption_resolution,[status(thm)],[c_16614,c_10567,c_10568,c_10569,c_10570,c_10571,c_10572,c_10573]) ).
tcf(c_16715,plain,
( ( u1_pre_topc(iPr_def_17) = u1_pre_topc(iPr_def_19) )
| ~ r1_tarski(u1_pre_topc(iPr_def_19),u1_pre_topc(iPr_def_17)) ),
inference(superposition,[status(thm)],[c_16615,c_86]) ).
tcf(c_16716,plain,
u1_pre_topc(iPr_def_17) = u1_pre_topc(iPr_def_19),
inference(forward_subsumption_resolution,[status(thm)],[c_16715,c_16612]) ).
tcf(c_16719,plain,
g1_pre_topc(iPr_def_10,u1_pre_topc(iPr_def_17)) = iPr_def_19,
inference(demodulation,[status(thm)],[c_16393,c_16716]) ).
tcf(c_16728,plain,
iPr_def_17 = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_16719,c_14640]) ).
tcf(c_16729,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_16728,c_10575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.20/0.44 % Computer : n006.cluster.edu
% 0.20/0.44 % Model : x86_64 x86_64
% 0.20/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44 % Memory : 8046.5625MB
% 0.20/0.44 % OS : Linux 6.8.0-71-generic
% 0.20/0.44 % CPULimit : 300
% 0.20/0.44 % WCLimit : 300
% 0.20/0.44 % DateTime : Fri Sep 25 04:18:56 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.45 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.27/0.51 Running first-order theorem proving
% 0.27/0.51 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
% 0.27/0.53
% 0.27/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.27/0.53
% 0.27/0.53 % Detected problem language: tptp
% 0.27/0.55 % Proving...
% 8.76/2.01 % SZS status Started for theBenchmark.p
% 8.76/2.01 % SZS status Theorem for theBenchmark.p
% 8.76/2.01
% 8.76/2.01 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.76/2.01
% 8.76/2.01 % ------ iProver source info
% 8.76/2.01
% 8.76/2.01 % git: date: 2026-07-19 20:42:38 +0200
% 8.76/2.01 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.76/2.01 % git: non_committed_changes: false
% 8.76/2.01
% 8.76/2.01 % ------ Parsing...
% 8.76/2.01 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.76/2.01
% 8.76/2.01 % ------ Preprocessing... sup_sim: 2 sf_s rm: 30 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe_e %
% 8.76/2.01
% 8.76/2.01 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.76/2.01
% 8.76/2.01 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.76/2.01 % ------ Proving...
% 8.76/2.01 % ------ Problem Properties
% 8.76/2.01
% 8.76/2.01 %
% 8.76/2.01 % clauses 130
% 8.76/2.01 % conjectures 16
% 8.76/2.01 % EPR 46
% 8.76/2.01 % Horn 104
% 8.76/2.01 % unary 54
% 8.76/2.01 % binary 29
% 8.76/2.01 % lits 292
% 8.76/2.01 % lits eq 35
% 8.76/2.01 % fd_pure 0
% 8.76/2.01 % fd_pseudo 0
% 8.76/2.01 % fd_cond 1
% 8.76/2.01 % fd_pseudo_cond 9
% 8.76/2.01 % AC symbols 0
% 8.76/2.01
% 8.76/2.01 % ------ Schedule dynamic 5 is on
% 8.76/2.01
% 8.76/2.01 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.76/2.01
% 8.76/2.01
% 8.76/2.01 % ------
% 8.76/2.01 % Current options:
% 8.76/2.01 % ------
% 8.76/2.01
% 8.76/2.01
% 8.76/2.01 %
% 8.76/2.01
% 8.76/2.01 % ------ Proving...
% 8.76/2.01 %
% 8.76/2.01
% 8.76/2.01 % SZS status Theorem for theBenchmark.p
% 8.76/2.01
% 8.76/2.01 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.76/2.02
% 8.76/2.02
%------------------------------------------------------------------------------