%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP047+1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:34:06 PM UTC 2026
% Result : Theorem 3.46s 1.01s
% Output : Refutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 22
% Syntax : Number of formulae : 180 ( 33 unt; 10 def)
% Number of atoms : 822 ( 141 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 1096 ( 454 ~; 494 |; 112 &)
% ( 15 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 28 ( 26 usr; 11 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 147 ( 0 sgn 143 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_waybel33) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(X1,k3_waybel28(X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f15,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v2_lattice3(X0)
=> ~ v3_struct_0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f23,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f24,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ! [X1] :
( m4_yellow_6(X1,X0)
=> ! [X2] :
( ( v1_pre_topc(X2)
& l1_pre_topc(X2) )
=> ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d27_yellow_6) ).
fof(f28,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k14_yellow_6) ).
fof(f34,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0) )
=> m4_yellow_6(k3_waybel28(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_waybel28) ).
fof(f36,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',dt_u1_orders_2) ).
fof(f61,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m4_yellow_6(X1,X0) )
=> ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc25_yellow_6) ).
fof(f68,axiom,
! [X0,X1] :
( m1_relset_1(X1,X0,X0)
=> ! [X2,X3] :
( g1_orders_2(X0,X1) = g1_orders_2(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_orders_2) ).
fof(f70,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_waybel33) ).
fof(f93,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f105,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f106,plain,
? [X0] :
( ? [X1] :
( k14_yellow_6(X0,k3_waybel28(X0)) != k14_yellow_6(X1,k3_waybel28(X1))
& g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) = g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v24_waybel_0(X0)
& v25_waybel_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f105]) ).
fof(f125,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f126,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f125]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k14_yellow_6(X0,X1)
<=> ( u1_struct_0(X2) = u1_struct_0(X0)
& u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1) ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f139]) ).
fof(f143,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f144,plain,
! [X0,X1] :
( ( v1_pre_topc(k14_yellow_6(X0,X1))
& l1_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f146,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f151,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f162,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f163,plain,
! [X0,X1] :
( ( ~ v3_struct_0(k14_yellow_6(X0,X1))
& v1_pre_topc(k14_yellow_6(X0,X1))
& v2_pre_topc(k14_yellow_6(X0,X1)) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(flattening,[],[f162]) ).
fof(f168,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_orders_2(X0,X1) != g1_orders_2(X2,X3) )
| ~ m1_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f170]) ).
fof(f197,plain,
( k14_yellow_6(sK0,k3_waybel28(sK0)) != k14_yellow_6(sK1,k3_waybel28(sK1))
& g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) = g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
& v2_orders_2(sK1)
& v3_orders_2(sK1)
& v4_orders_2(sK1)
& v24_waybel_0(sK1)
& v25_waybel_0(sK1)
& v2_lattice3(sK1)
& l1_orders_2(sK1)
& v2_orders_2(sK0)
& v3_orders_2(sK0)
& v4_orders_2(sK0)
& v24_waybel_0(sK0)
& v25_waybel_0(sK0)
& v2_lattice3(sK0)
& l1_orders_2(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f106]) ).
fof(f198,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k14_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(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) )
| k14_yellow_6(X0,X1) != X2 ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k14_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(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) )
| k14_yellow_6(X0,X1) != X2 ) )
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2) )
| ~ m4_yellow_6(X1,X0) )
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f200]) ).
fof(f235,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(f239,plain,
l1_orders_2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f240,plain,
v2_lattice3(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f241,plain,
v25_waybel_0(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f242,plain,
v24_waybel_0(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f243,plain,
v4_orders_2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f244,plain,
v3_orders_2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f245,plain,
v2_orders_2(sK0),
inference(cnf_transformation,[],[f197]) ).
fof(f246,plain,
l1_orders_2(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f247,plain,
v2_lattice3(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f248,plain,
v25_waybel_0(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f249,plain,
v24_waybel_0(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f250,plain,
v4_orders_2(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f251,plain,
v3_orders_2(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f252,plain,
v2_orders_2(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f253,plain,
g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) = g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1)),
inference(cnf_transformation,[],[f197]) ).
fof(f254,plain,
k14_yellow_6(sK0,k3_waybel28(sK0)) != k14_yellow_6(sK1,k3_waybel28(sK1)),
inference(cnf_transformation,[],[f197]) ).
fof(f275,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f295,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f199]) ).
fof(f296,plain,
! [X2,X0,X1] :
( u1_pre_topc(X2) = a_2_1_yellow_6(X0,X1)
| k14_yellow_6(X0,X1) != X2
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f297,plain,
! [X2,X0,X1] :
( u1_struct_0(X0) = u1_struct_0(X2)
| k14_yellow_6(X0,X1) != X2
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f298,plain,
! [X2,X0,X1] :
( u1_pre_topc(X2) != a_2_1_yellow_6(X0,X1)
| u1_struct_0(X0) != u1_struct_0(X2)
| k14_yellow_6(X0,X1) = X2
| ~ v1_pre_topc(X2)
| ~ l1_pre_topc(X2)
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f304,plain,
! [X0,X1] :
( l1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m4_yellow_6(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f306,plain,
! [X0] :
( m4_yellow_6(k3_waybel28(X0),X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f307,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f311,plain,
! [X0] :
( m2_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f332,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_pre_topc(k14_yellow_6(X0,X1)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f353,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,[],[f168]) ).
fof(f356,plain,
! [X0,X1] :
( r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f235]) ).
fof(f447,plain,
! [X0,X1] :
( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(equality_resolution,[],[f297]) ).
fof(f448,plain,
! [X0,X1] :
( a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1))
| ~ v1_pre_topc(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(equality_resolution,[],[f296]) ).
fof(f457,plain,
! [X0,X1] :
( a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f448,f332]) ).
fof(f458,plain,
! [X0,X1] :
( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1))
| ~ l1_pre_topc(k14_yellow_6(X0,X1))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f447,f332]) ).
fof(f459,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| a_2_1_yellow_6(X0,X1) = u1_pre_topc(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f457,f304]) ).
fof(f460,plain,
! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,X1))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(forward_subsumption_resolution,[],[f458,f304]) ).
fof(f462,plain,
l1_struct_0(sK1),
inference(resolution,[],[f307,f246]) ).
fof(f463,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f460,f306]) ).
fof(f464,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f463]) ).
fof(f465,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| u1_struct_0(X0) = u1_struct_0(k14_yellow_6(X0,k3_waybel28(X0))) ),
inference(forward_subsumption_resolution,[],[f464,f307]) ).
fof(f467,plain,
( v3_struct_0(sK1)
| u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(resolution,[],[f465,f246]) ).
fof(f469,definition,
( spl36_1
<=> u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).
fof(f470,plain,
( u1_struct_0(sK1) = u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1)))
| ~ spl36_1 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,definition,
( spl36_2
<=> v3_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).
fof(f473,plain,
( v3_struct_0(sK1)
| ~ spl36_2 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f474,plain,
( spl36_1
| spl36_2 ),
inference(avatar_split_clause,[],[f467,f472,f469]) ).
fof(f479,definition,
( spl36_4
<=> v3_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl36_4])],[avatar_definition]) ).
fof(f480,plain,
( v3_struct_0(sK0)
| ~ spl36_4 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f491,plain,
( ~ v2_lattice3(sK1)
| ~ l1_orders_2(sK1)
| ~ spl36_2 ),
inference(resolution,[],[f275,f473]) ).
fof(f493,plain,
( ~ l1_orders_2(sK1)
| ~ spl36_2 ),
inference(forward_subsumption_resolution,[],[f491,f247]) ).
fof(f494,plain,
( $false
| ~ spl36_2 ),
inference(forward_subsumption_resolution,[],[f493,f246]) ).
fof(f495,plain,
~ spl36_2,
inference(avatar_contradiction_clause,[],[f494]) ).
fof(f507,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = a_2_1_yellow_6(X0,k3_waybel28(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f459,f306]) ).
fof(f508,plain,
! [X0] :
( u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = a_2_1_yellow_6(X0,k3_waybel28(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f507]) ).
fof(f509,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = a_2_1_yellow_6(X0,k3_waybel28(X0)) ),
inference(forward_subsumption_resolution,[],[f508,f307]) ).
fof(f510,plain,
( v3_struct_0(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
inference(resolution,[],[f509,f239]) ).
fof(f511,plain,
( v3_struct_0(sK1)
| u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)) ),
inference(resolution,[],[f509,f246]) ).
fof(f513,definition,
( spl36_9
<=> u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)) ),
introduced(definition,[new_symbols(definition,[spl36_9])],[avatar_definition]) ).
fof(f514,plain,
( u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f515,plain,
( spl36_9
| spl36_2 ),
inference(avatar_split_clause,[],[f511,f472,f513]) ).
fof(f517,definition,
( spl36_10
<=> u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0)) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f518,plain,
( u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f519,plain,
( spl36_10
| spl36_4 ),
inference(avatar_split_clause,[],[f510,f479,f517]) ).
fof(f521,plain,
( ~ v2_lattice3(sK0)
| ~ l1_orders_2(sK0)
| ~ spl36_4 ),
inference(resolution,[],[f480,f275]) ).
fof(f523,plain,
( ~ l1_orders_2(sK0)
| ~ spl36_4 ),
inference(forward_subsumption_resolution,[],[f521,f240]) ).
fof(f524,plain,
( $false
| ~ spl36_4 ),
inference(forward_subsumption_resolution,[],[f523,f239]) ).
fof(f525,plain,
~ spl36_4,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f556,plain,
( ! [X0,X1] :
( a_2_1_yellow_6(X0,X1) != a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| u1_struct_0(X0) != u1_struct_0(k14_yellow_6(sK1,k3_waybel28(sK1)))
| k14_yellow_6(X0,X1) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ v1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| ~ l1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl36_9 ),
inference(superposition,[],[f298,f514]) ).
fof(f557,plain,
( ! [X0,X1] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| a_2_1_yellow_6(X0,X1) != a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| k14_yellow_6(X0,X1) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ v1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| ~ l1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| ~ m4_yellow_6(X1,X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) )
| ~ spl36_1
| ~ spl36_9 ),
inference(forward_demodulation,[],[f556,f470]) ).
fof(f561,definition,
( spl36_14
<=> l1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_14])],[avatar_definition]) ).
fof(f562,plain,
( ~ l1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| spl36_14 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,definition,
( spl36_15
<=> v1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
introduced(definition,[new_symbols(definition,[spl36_15])],[avatar_definition]) ).
fof(f565,plain,
( ~ v1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1)))
| spl36_15 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f567,definition,
( spl36_16
<=> ! [X0,X1] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| k14_yellow_6(X0,X1) = k14_yellow_6(sK1,k3_waybel28(sK1))
| a_2_1_yellow_6(X0,X1) != a_2_1_yellow_6(sK1,k3_waybel28(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl36_16])],[avatar_definition]) ).
fof(f568,plain,
( ! [X0,X1] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ m4_yellow_6(X1,X0)
| k14_yellow_6(X0,X1) = k14_yellow_6(sK1,k3_waybel28(sK1))
| a_2_1_yellow_6(X0,X1) != a_2_1_yellow_6(sK1,k3_waybel28(sK1)) )
| ~ spl36_16 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f569,plain,
( ~ spl36_14
| ~ spl36_15
| spl36_16
| ~ spl36_1
| ~ spl36_9 ),
inference(avatar_split_clause,[],[f557,f513,f469,f567,f564,f561]) ).
fof(f584,plain,
! [X0,X1] :
( ~ r1_tarski(u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))),u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))))
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(resolution,[],[f295,f356]) ).
fof(f585,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v24_waybel_0(X1)
| ~ v25_waybel_0(X1)
| ~ v2_lattice3(X1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) ),
inference(forward_subsumption_resolution,[],[f584,f356]) ).
fof(f587,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_orders_2(sK1)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v24_waybel_0(sK1)
| ~ v25_waybel_0(sK1)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(resolution,[],[f585,f246]) ).
fof(f588,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v3_orders_2(sK1)
| ~ v4_orders_2(sK1)
| ~ v24_waybel_0(sK1)
| ~ v25_waybel_0(sK1)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f587,f252]) ).
fof(f590,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(sK1)
| ~ v24_waybel_0(sK1)
| ~ v25_waybel_0(sK1)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f588,f251]) ).
fof(f592,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v24_waybel_0(sK1)
| ~ v25_waybel_0(sK1)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f590,f250]) ).
fof(f594,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v25_waybel_0(sK1)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f592,f249]) ).
fof(f596,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| ~ v2_lattice3(sK1)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f594,f248]) ).
fof(f598,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK1),u1_orders_2(sK1))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_subsumption_resolution,[],[f596,f247]) ).
fof(f600,plain,
! [X0] :
( g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = u1_pre_topc(k14_yellow_6(sK1,k3_waybel28(sK1))) ),
inference(forward_demodulation,[],[f598,f253]) ).
fof(f602,plain,
( ! [X0] :
( ~ l1_orders_2(X0)
| g1_orders_2(u1_struct_0(X0),u1_orders_2(X0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v24_waybel_0(X0)
| ~ v25_waybel_0(X0)
| ~ v2_lattice3(X0)
| u1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1)) )
| ~ spl36_9 ),
inference(forward_demodulation,[],[f600,f514]) ).
fof(f603,plain,
( g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0)) != g1_orders_2(u1_struct_0(sK0),u1_orders_2(sK0))
| ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v24_waybel_0(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(resolution,[],[f602,f239]) ).
fof(f605,plain,
( ~ v2_orders_2(sK0)
| ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v24_waybel_0(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f606,plain,
( ~ v3_orders_2(sK0)
| ~ v4_orders_2(sK0)
| ~ v24_waybel_0(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f605,f245]) ).
fof(f607,plain,
( ~ v4_orders_2(sK0)
| ~ v24_waybel_0(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f606,f244]) ).
fof(f608,plain,
( ~ v24_waybel_0(sK0)
| ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f607,f243]) ).
fof(f609,plain,
( ~ v25_waybel_0(sK0)
| ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f608,f242]) ).
fof(f610,plain,
( ~ v2_lattice3(sK0)
| u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f609,f241]) ).
fof(f611,plain,
( u1_pre_topc(k14_yellow_6(sK0,k3_waybel28(sK0))) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9 ),
inference(forward_subsumption_resolution,[],[f610,f240]) ).
fof(f612,plain,
( a_2_1_yellow_6(sK0,k3_waybel28(sK0)) = a_2_1_yellow_6(sK1,k3_waybel28(sK1))
| ~ spl36_9
| ~ spl36_10 ),
inference(forward_demodulation,[],[f611,f518]) ).
fof(f618,definition,
( spl36_17
<=> m4_yellow_6(k3_waybel28(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f619,plain,
( ~ m4_yellow_6(k3_waybel28(sK1),sK1)
| spl36_17 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f628,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl36_17 ),
inference(resolution,[],[f619,f306]) ).
fof(f629,plain,
( v3_struct_0(sK1)
| spl36_17 ),
inference(forward_subsumption_resolution,[],[f628,f246]) ).
fof(f630,plain,
( spl36_2
| spl36_17 ),
inference(avatar_split_clause,[],[f629,f618,f472]) ).
fof(f671,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ m4_yellow_6(k3_waybel28(sK1),sK1)
| spl36_14 ),
inference(resolution,[],[f562,f304]) ).
fof(f672,plain,
( v3_struct_0(sK1)
| ~ m4_yellow_6(k3_waybel28(sK1),sK1)
| spl36_14 ),
inference(forward_subsumption_resolution,[],[f671,f462]) ).
fof(f673,plain,
( ~ spl36_17
| spl36_2
| spl36_14 ),
inference(avatar_split_clause,[],[f672,f561,f472,f618]) ).
fof(f674,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(resolution,[],[f332,f306]) ).
fof(f675,plain,
! [X0] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| v1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| ~ l1_orders_2(X0) ),
inference(duplicate_literal_removal,[],[f674]) ).
fof(f676,plain,
! [X0] :
( v1_pre_topc(k14_yellow_6(X0,k3_waybel28(X0)))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(forward_subsumption_resolution,[],[f675,f307]) ).
fof(f679,plain,
( v3_struct_0(sK1)
| ~ l1_orders_2(sK1)
| spl36_15 ),
inference(resolution,[],[f565,f676]) ).
fof(f680,plain,
( v3_struct_0(sK1)
| spl36_15 ),
inference(forward_subsumption_resolution,[],[f679,f246]) ).
fof(f681,plain,
( spl36_2
| spl36_15 ),
inference(avatar_split_clause,[],[f680,f564,f472]) ).
fof(f682,plain,
( ! [X0,X1] :
( ~ m4_yellow_6(X1,X0)
| u1_struct_0(X0) != u1_struct_0(sK1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| a_2_1_yellow_6(X0,X1) != a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| k14_yellow_6(X0,X1) = k14_yellow_6(sK1,k3_waybel28(sK1)) )
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(forward_demodulation,[],[f568,f612]) ).
fof(f684,plain,
( ! [X0] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| a_2_1_yellow_6(X0,k3_waybel28(X0)) != a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(sK1,k3_waybel28(sK1))
| v3_struct_0(X0)
| ~ l1_orders_2(X0) )
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(resolution,[],[f682,f306]) ).
fof(f685,plain,
( ! [X0] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| a_2_1_yellow_6(X0,k3_waybel28(X0)) != a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ l1_orders_2(X0) )
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(duplicate_literal_removal,[],[f684]) ).
fof(f686,plain,
( ! [X0] :
( a_2_1_yellow_6(X0,k3_waybel28(X0)) != a_2_1_yellow_6(sK0,k3_waybel28(sK0))
| v3_struct_0(X0)
| u1_struct_0(X0) != u1_struct_0(sK1)
| k14_yellow_6(X0,k3_waybel28(X0)) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ l1_orders_2(X0) )
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(forward_subsumption_resolution,[],[f685,f307]) ).
fof(f687,plain,
( v3_struct_0(sK0)
| u1_struct_0(sK0) != u1_struct_0(sK1)
| k14_yellow_6(sK0,k3_waybel28(sK0)) = k14_yellow_6(sK1,k3_waybel28(sK1))
| ~ l1_orders_2(sK0)
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(equality_resolution,[],[f686]) ).
fof(f688,plain,
( v3_struct_0(sK0)
| u1_struct_0(sK0) != u1_struct_0(sK1)
| ~ l1_orders_2(sK0)
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(forward_subsumption_resolution,[],[f687,f254]) ).
fof(f689,plain,
( v3_struct_0(sK0)
| u1_struct_0(sK0) != u1_struct_0(sK1)
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(forward_subsumption_resolution,[],[f688,f239]) ).
fof(f691,definition,
( spl36_21
<=> u1_struct_0(sK0) = u1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl36_21])],[avatar_definition]) ).
fof(f692,plain,
( u1_struct_0(sK0) != u1_struct_0(sK1)
| spl36_21 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( ~ spl36_21
| spl36_4
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(avatar_split_clause,[],[f689,f567,f517,f513,f479,f691]) ).
fof(f707,plain,
! [X0] :
( ~ l1_orders_2(X0)
| m1_relset_1(u1_orders_2(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f429,f311]) ).
fof(f709,plain,
m1_relset_1(u1_orders_2(sK0),u1_struct_0(sK0),u1_struct_0(sK0)),
inference(resolution,[],[f707,f239]) ).
fof(f711,plain,
( $false
| spl36_21 ),
inference(unit_resulting_resolution,[],[f353,f692,f253,f709]) ).
fof(f714,plain,
spl36_21,
inference(avatar_contradiction_clause,[],[f711]) ).
cnf(s1,plain,
( spl36_1
| spl36_2 ),
inference(sat_conversion,[],[f474]) ).
cnf(s5,plain,
~ spl36_2,
inference(sat_conversion,[],[f495]) ).
cnf(s7,plain,
( spl36_2
| spl36_9 ),
inference(sat_conversion,[],[f515]) ).
cnf(s8,plain,
( spl36_4
| spl36_10 ),
inference(sat_conversion,[],[f519]) ).
cnf(s10,plain,
~ spl36_4,
inference(sat_conversion,[],[f525]) ).
cnf(s12,plain,
( ~ spl36_1
| ~ spl36_9
| ~ spl36_14
| ~ spl36_15
| spl36_16 ),
inference(sat_conversion,[],[f569]) ).
cnf(s15,plain,
( spl36_2
| spl36_17 ),
inference(sat_conversion,[],[f630]) ).
cnf(s17,plain,
( spl36_2
| spl36_14
| ~ spl36_17 ),
inference(sat_conversion,[],[f673]) ).
cnf(s18,plain,
( spl36_2
| spl36_15 ),
inference(sat_conversion,[],[f681]) ).
cnf(s19,plain,
( spl36_4
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16
| ~ spl36_21 ),
inference(sat_conversion,[],[f693]) ).
cnf(s20,plain,
spl36_21,
inference(sat_conversion,[],[f714]) ).
cnf(s21,plain,
( spl36_4
| ~ spl36_9
| ~ spl36_10
| ~ spl36_16 ),
inference(rat,[],[s19,s20]) ).
cnf(s22,plain,
spl36_10,
inference(rat,[],[s8,s10]) ).
cnf(s23,plain,
spl36_15,
inference(rat,[],[s18,s5]) ).
cnf(s24,plain,
spl36_17,
inference(rat,[],[s15,s5]) ).
cnf(s25,plain,
spl36_9,
inference(rat,[],[s7,s5]) ).
cnf(s26,plain,
spl36_14,
inference(rat,[],[s17,s5,s24]) ).
cnf(s27,plain,
~ spl36_16,
inference(rat,[],[s21,s22,s10,s25]) ).
cnf(s30,plain,
~ spl36_1,
inference(rat,[],[s12,s27,s23,s26,s25]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s1,s5,s30]) ).
fof(f715,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : TOP047+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Mon Sep 28 19:06:19 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.13 Running first-order theorem proving
% 0.08/0.13 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
% 3.46/1.01 % (3650111)Detected formulas, will run a generic FOF schedule.
% 3.46/1.01 % (3650192)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=596247198:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.01 % (3650193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1530217516:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.01 % (3650195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1093418225:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.01 % (3650190)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=3323376369:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.01 % (3650194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2710609470:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.01 % (3650191)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=3270471908:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.01 % (3650193)Refutation not found, incomplete strategy
% 3.46/1.01 % (3650193)------------------------------
% 3.46/1.01 % (3650193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650193)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650193)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.01 % (3650193)Time elapsed: 0.001 s
% 3.46/1.01 % (3650193)Peak memory usage: 88 MB
% 3.46/1.01 % (3650193)Instructions burned: 1 (million)
% 3.46/1.01 % (3650196)dis-21_1_sil=8000:lcm=predicate:random_seed=3052899549:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.46/1.01 % (3650194)Instruction limit reached!
% 3.46/1.01 % (3650194)------------------------------
% 3.46/1.01 % (3650194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650194)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650194)Termination reason: Instruction limit
% 3.46/1.01 % (3650194)Termination phase: Saturation
% 3.46/1.01 % (3650194)Time elapsed: 0.035 s
% 3.46/1.01 % (3650194)Peak memory usage: 88 MB
% 3.46/1.01 % (3650194)Instructions burned: 123 (million)
% 3.46/1.01 % (3650195)Instruction limit reached!
% 3.46/1.01 % (3650195)------------------------------
% 3.46/1.01 % (3650195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650195)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650195)Termination reason: Instruction limit
% 3.46/1.01 % (3650195)Termination phase: Saturation
% 3.46/1.01 % (3650195)Time elapsed: 0.049 s
% 3.46/1.01 % (3650195)Peak memory usage: 90 MB
% 3.46/1.01 % (3650195)Instructions burned: 140 (million)
% 3.46/1.01 % (3650196)Instruction limit reached!
% 3.46/1.01 % (3650196)------------------------------
% 3.46/1.01 % (3650196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650196)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650196)Termination reason: Instruction limit
% 3.46/1.01 % (3650196)Termination phase: Saturation
% 3.46/1.01 % (3650196)Time elapsed: 0.043 s
% 3.46/1.01 % (3650196)Peak memory usage: 93 MB
% 3.46/1.01 % (3650196)Instructions burned: 129 (million)
% 3.46/1.01 % (3650234)lrs+10_1_sil=8000:sp=occurrence:random_seed=2908759467:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.46/1.01 % (3650242)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3291044786:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.46/1.01 % (3650242)Refutation not found, incomplete strategy
% 3.46/1.01 % (3650242)------------------------------
% 3.46/1.01 % (3650242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650242)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650242)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.01 % (3650242)Time elapsed: 0.004 s
% 3.46/1.01 % (3650242)Peak memory usage: 89 MB
% 3.46/1.01 % (3650242)Instructions burned: 9 (million)
% 3.46/1.01 % (3650193)------------------------------
% 3.46/1.01 % (3650193)------------------------------
% 3.46/1.01 % (3650245)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2448034300:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.46/1.01 % (3650234)Instruction limit reached!
% 3.46/1.01 % (3650234)------------------------------
% 3.46/1.01 % (3650234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650234)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650234)Termination reason: Instruction limit
% 3.46/1.01 % (3650234)Termination phase: Saturation
% 3.46/1.01 % (3650234)Time elapsed: 0.101 s
% 3.46/1.01 % (3650234)Peak memory usage: 92 MB
% 3.46/1.01 % (3650234)Instructions burned: 287 (million)
% 3.46/1.01 % (3650277)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=1538340439:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.46/1.01 % (3650245)Instruction limit reached!
% 3.46/1.01 % (3650245)------------------------------
% 3.46/1.01 % (3650245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650245)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650245)Termination reason: Instruction limit
% 3.46/1.01 % (3650245)Termination phase: Saturation
% 3.46/1.01 % (3650245)Time elapsed: 0.121 s
% 3.46/1.01 % (3650245)Peak memory usage: 92 MB
% 3.46/1.01 % (3650245)Instructions burned: 326 (million)
% 3.46/1.01 % (3650242)------------------------------
% 3.46/1.01 % (3650242)------------------------------
% 3.46/1.01 % (3650287)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3698064693:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.46/1.01 % (3650277)Instruction limit reached!
% 3.46/1.01 % (3650277)------------------------------
% 3.46/1.01 % (3650277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650277)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650277)Termination reason: Instruction limit
% 3.46/1.01 % (3650277)Termination phase: Saturation
% 3.46/1.01 % (3650277)Time elapsed: 0.079 s
% 3.46/1.01 % (3650277)Peak memory usage: 94 MB
% 3.46/1.01 % (3650277)Instructions burned: 251 (million)
% 3.46/1.01 % (3650304)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2067551784:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 3.46/1.01 % (3650305)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=695377984:cts=off:i=113:fsr=off:ss=included:sgt=4_2996 on theBenchmark for (2996ds/113Mi)
% 3.46/1.01 % (3650191)First to succeed.
% 3.46/1.01 % (3650191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3650111"
% 3.46/1.01 % (3650190)Also succeeded, but the first one will report.
% 3.46/1.01 % (3650305)Also succeeded, but the first one will report.
% 3.46/1.01 % (3650287)Instruction limit reached!
% 3.46/1.01 % (3650287)------------------------------
% 3.46/1.01 % (3650287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650287)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650287)Termination reason: Instruction limit
% 3.46/1.01 % (3650287)Termination phase: Saturation
% 3.46/1.01 % (3650287)Time elapsed: 0.096 s
% 3.46/1.01 % (3650287)Peak memory usage: 89 MB
% 3.46/1.01 % (3650287)Instructions burned: 295 (million)
% 3.46/1.01 % (3650311)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1308299302:i=127:av=off:fsr=off:sup=off_2995 on theBenchmark for (2995ds/127Mi)
% 3.46/1.01 % (3650311)Instruction limit reached!
% 3.46/1.01 % (3650311)------------------------------
% 3.46/1.01 % (3650311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650311)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650311)Termination reason: Instruction limit
% 3.46/1.01 % (3650311)Termination phase: Saturation
% 3.46/1.01 % (3650311)Time elapsed: 0.036 s
% 3.46/1.01 % (3650311)Peak memory usage: 89 MB
% 3.46/1.01 % (3650311)Instructions burned: 129 (million)
% 3.46/1.01 % (3650324)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2841150567:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 3.46/1.01 % (3650324)Instruction limit reached!
% 3.46/1.01 % (3650324)------------------------------
% 3.46/1.01 % (3650324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.01 % (3650324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.01 % (3650324)CaDiCaL version: 2.1.3
% 3.46/1.01 % (3650324)Termination reason: Instruction limit
% 3.46/1.01 % (3650324)Termination phase: Saturation
% 3.46/1.01 % (3650324)Time elapsed: 0.029 s
% 3.46/1.01 % (3650324)Peak memory usage: 89 MB
% 3.46/1.01 % (3650324)Instructions burned: 117 (million)
% 3.46/1.01 % (3650326)lrs+10_1_sil=8000:sp=occurrence:random_seed=926701811:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2994 on theBenchmark for (2994ds/907Mi)
% 3.46/1.01 % (3650191)Refutation found. Thanks to Tanya!
% 3.46/1.01 % SZS status Theorem for theBenchmark
% 3.46/1.01 % SZS output start Proof for theBenchmark
% See solution above
% 4.73/1.11 % (3650191)------------------------------
% 4.73/1.11 % (3650191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.11 % (3650191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.11 % (3650191)CaDiCaL version: 2.1.3
% 4.73/1.11 % (3650191)Termination reason: Refutation
% 4.73/1.11 % (3650191)Time elapsed: 0.387 s
% 4.73/1.11 % (3650191)Peak memory usage: 130 MB
% 4.73/1.11 % (3650191)Instructions burned: 1005 (million)
% 4.73/1.11 % (3650191)------------------------------
% 4.73/1.11 % (3650191)------------------------------
% 4.73/1.11 % (3650111)Success in time 0.65 s
% 4.73/1.11 % Vampire exiting
%------------------------------------------------------------------------------