%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 11:48:33 AM UTC 2026
% Result : Theorem 5.41s 1.25s
% Output : Refutation 5.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 18
% Syntax : Number of formulae : 118 ( 37 unt; 8 def)
% Number of atoms : 405 ( 49 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 463 ( 176 ~; 194 |; 76 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 59 ( 0 sgn 55 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_waybel22) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
=> 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/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(f32,axiom,
! [X0] :
( l1_orders_2(X0)
=> ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_lattice3) ).
fof(f48,axiom,
! [X0] :
( ( v2_yellow_0(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc10_yellow_7) ).
fof(f53,axiom,
! [X0] :
( ( v2_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_yellow_7) ).
fof(f55,axiom,
! [X0] :
( ( v3_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_yellow_7) ).
fof(f57,axiom,
! [X0] :
( ( v4_orders_2(X0)
& l1_orders_2(X0) )
=> ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc3_yellow_7) ).
fof(f62,axiom,
! [X0] :
( ( v2_lattice3(X0)
& l1_orders_2(X0) )
=> ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc5_yellow_7) ).
fof(f106,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v3_orders_2(X0)
& l1_orders_2(X0) )
=> k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_waybel16) ).
fof(f108,axiom,
! [X0] :
( ( v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v1_lattice3(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
=> k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t9_waybel13) ).
fof(f111,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f112,plain,
? [X0] :
( ? [X1] :
( k1_yellow_0(k2_yellow_1(k9_waybel_0(X0)),X1) != k3_tarski(X1)
& ~ v1_xboole_0(X1)
& v1_waybel_0(X1,k2_yellow_1(k9_waybel_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(X0))))) )
& v2_orders_2(X0)
& v3_orders_2(X0)
& v4_orders_2(X0)
& v2_yellow_0(X0)
& v2_lattice3(X0)
& l1_orders_2(X0) ),
inference(flattening,[],[f111]) ).
fof(f134,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f135,plain,
! [X0] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f134]) ).
fof(f153,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& l1_orders_2(k7_lattice3(X0)) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f159,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f160,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v1_yellow_0(k7_lattice3(X0)) )
| ~ v2_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f159]) ).
fof(f165,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f166,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v2_orders_2(k7_lattice3(X0)) )
| ~ v2_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f165]) ).
fof(f169,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f170,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v3_orders_2(k7_lattice3(X0)) )
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f169]) ).
fof(f173,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f174,plain,
! [X0] :
( ( v1_orders_2(k7_lattice3(X0))
& v4_orders_2(k7_lattice3(X0)) )
| ~ v4_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f173]) ).
fof(f183,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f62]) ).
fof(f184,plain,
! [X0] :
( ( ~ v3_struct_0(k7_lattice3(X0))
& v1_orders_2(k7_lattice3(X0))
& v1_lattice3(k7_lattice3(X0)) )
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f183]) ).
fof(f232,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f106]) ).
fof(f233,plain,
! [X0] :
( k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0))
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f232]) ).
fof(f235,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f108]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1) = k3_tarski(X1)
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0))))) )
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(flattening,[],[f235]) ).
fof(f241,plain,
( k1_yellow_0(k2_yellow_1(k9_waybel_0(sK2)),sK3) != k3_tarski(sK3)
& ~ v1_xboole_0(sK3)
& v1_waybel_0(sK3,k2_yellow_1(k9_waybel_0(sK2)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k9_waybel_0(sK2)))))
& v2_orders_2(sK2)
& v3_orders_2(sK2)
& v4_orders_2(sK2)
& v2_yellow_0(sK2)
& v2_lattice3(sK2)
& l1_orders_2(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f112]) ).
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] :
( ~ v3_struct_0(X0)
| ~ v2_lattice3(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f345,plain,
! [X0] :
( l1_orders_2(k7_lattice3(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f153]) ).
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(f534,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| k9_waybel_0(X0) = k8_waybel_0(k7_lattice3(X0)) ),
inference(cnf_transformation,[],[f233]) ).
fof(f536,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(k2_yellow_1(k8_waybel_0(X0)))))
| v1_xboole_0(X1)
| ~ v1_waybel_0(X1,k2_yellow_1(k8_waybel_0(X0)))
| k3_tarski(X1) = k1_yellow_0(k2_yellow_1(k8_waybel_0(X0)),X1)
| ~ v2_orders_2(X0)
| ~ v3_orders_2(X0)
| ~ v4_orders_2(X0)
| ~ v1_lattice3(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f236]) ).
fof(f539,definition,
sF31 = k9_waybel_0(sK2),
introduced(definition,[new_symbols(definition,[sF31])],[function_definition]) ).
fof(f540,plain,
k9_waybel_0(sK2) = sF31,
inference(reorient_equations,[],[f539]) ).
fof(f541,definition,
sF32 = k2_yellow_1(sF31),
introduced(definition,[new_symbols(definition,[sF32])],[function_definition]) ).
fof(f542,plain,
k2_yellow_1(sF31) = sF32,
inference(reorient_equations,[],[f541]) ).
fof(f543,definition,
sF33 = k1_yellow_0(sF32,sK3),
introduced(definition,[new_symbols(definition,[sF33])],[function_definition]) ).
fof(f544,plain,
k1_yellow_0(sF32,sK3) = sF33,
inference(reorient_equations,[],[f543]) ).
fof(f545,definition,
sF34 = k3_tarski(sK3),
introduced(definition,[new_symbols(definition,[sF34])],[function_definition]) ).
fof(f546,plain,
k3_tarski(sK3) = sF34,
inference(reorient_equations,[],[f545]) ).
fof(f547,plain,
sF33 != sF34,
inference(definition_folding,[],[f286,f546,f544,f542,f540]) ).
fof(f548,plain,
v1_waybel_0(sK3,sF32),
inference(definition_folding,[],[f284,f542,f540]) ).
fof(f549,definition,
sF35 = u1_struct_0(sF32),
introduced(definition,[new_symbols(definition,[sF35])],[function_definition]) ).
fof(f550,plain,
u1_struct_0(sF32) = sF35,
inference(reorient_equations,[],[f549]) ).
fof(f551,definition,
sF36 = k1_zfmisc_1(sF35),
introduced(definition,[new_symbols(definition,[sF36])],[function_definition]) ).
fof(f552,plain,
k1_zfmisc_1(sF35) = sF36,
inference(reorient_equations,[],[f551]) ).
fof(f553,plain,
m1_subset_1(sK3,sF36),
inference(definition_folding,[],[f283,f552,f550,f542,f540]) ).
fof(f662,plain,
( ~ v2_yellow_0(sK2)
| v1_yellow_0(k7_lattice3(sK2)) ),
inference(resolution,[],[f359,f277]) ).
fof(f707,plain,
v1_yellow_0(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f662,f279]) ).
fof(f730,plain,
( ~ v2_orders_2(sK2)
| v2_orders_2(k7_lattice3(sK2)) ),
inference(resolution,[],[f365,f277]) ).
fof(f759,plain,
v2_orders_2(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f730,f282]) ).
fof(f771,plain,
( ~ v3_orders_2(sK2)
| v3_orders_2(k7_lattice3(sK2)) ),
inference(resolution,[],[f378,f277]) ).
fof(f800,plain,
v3_orders_2(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f771,f281]) ).
fof(f812,plain,
( ~ v4_orders_2(sK2)
| v4_orders_2(k7_lattice3(sK2)) ),
inference(resolution,[],[f382,f277]) ).
fof(f841,plain,
v4_orders_2(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f812,f280]) ).
fof(f853,plain,
( ~ v2_lattice3(sK2)
| v1_lattice3(k7_lattice3(sK2)) ),
inference(resolution,[],[f394,f277]) ).
fof(f890,plain,
v1_lattice3(k7_lattice3(sK2)),
inference(forward_subsumption_resolution,[],[f853,f278]) ).
fof(f893,definition,
( spl37_31
<=> l1_orders_2(k7_lattice3(sK2)) ),
introduced(definition,[new_symbols(definition,[spl37_31])],[avatar_definition]) ).
fof(f894,plain,
( l1_orders_2(k7_lattice3(sK2))
| ~ spl37_31 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f895,plain,
( ~ l1_orders_2(k7_lattice3(sK2))
| spl37_31 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f910,plain,
( ~ l1_orders_2(sK2)
| spl37_31 ),
inference(resolution,[],[f895,f345]) ).
fof(f911,plain,
( $false
| spl37_31 ),
inference(forward_subsumption_resolution,[],[f910,f277]) ).
fof(f912,plain,
spl37_31,
inference(avatar_contradiction_clause,[],[f911]) ).
fof(f1132,definition,
( spl37_44
<=> v3_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl37_44])],[avatar_definition]) ).
fof(f1133,plain,
( ~ v3_struct_0(sK2)
| spl37_44 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1134,plain,
( v3_struct_0(sK2)
| ~ spl37_44 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1162,plain,
( ~ v2_lattice3(sK2)
| ~ l1_orders_2(sK2)
| ~ spl37_44 ),
inference(resolution,[],[f1134,f325]) ).
fof(f1163,plain,
( ~ l1_orders_2(sK2)
| ~ spl37_44 ),
inference(forward_subsumption_resolution,[],[f1162,f278]) ).
fof(f1164,plain,
( $false
| ~ spl37_44 ),
inference(forward_subsumption_resolution,[],[f1163,f277]) ).
fof(f1165,plain,
~ spl37_44,
inference(avatar_contradiction_clause,[],[f1164]) ).
fof(f2581,plain,
( v3_struct_0(sK2)
| ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| k9_waybel_0(sK2) = k8_waybel_0(k7_lattice3(sK2)) ),
inference(resolution,[],[f534,f277]) ).
fof(f2593,plain,
( ~ v2_orders_2(sK2)
| ~ v3_orders_2(sK2)
| k9_waybel_0(sK2) = k8_waybel_0(k7_lattice3(sK2))
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f2581,f1133]) ).
fof(f2604,plain,
( ~ v3_orders_2(sK2)
| k9_waybel_0(sK2) = k8_waybel_0(k7_lattice3(sK2))
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f2593,f282]) ).
fof(f2615,plain,
( k9_waybel_0(sK2) = k8_waybel_0(k7_lattice3(sK2))
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f2604,f281]) ).
fof(f2626,plain,
( sF31 = k8_waybel_0(k7_lattice3(sK2))
| spl37_44 ),
inference(forward_demodulation,[],[f2615,f540]) ).
fof(f3224,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ v2_orders_2(k7_lattice3(sK2))
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(superposition,[],[f536,f2626]) ).
fof(f3225,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ v3_orders_2(k7_lattice3(sK2))
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3224,f759]) ).
fof(f3238,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ v4_orders_2(k7_lattice3(sK2))
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3225,f800]) ).
fof(f3249,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ v1_lattice3(k7_lattice3(sK2))
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3238,f841]) ).
fof(f3254,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ v1_yellow_0(k7_lattice3(sK2))
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3249,f890]) ).
fof(f3255,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0)
| ~ l1_orders_2(k7_lattice3(sK2)) )
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3254,f707]) ).
fof(f3256,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(k2_yellow_1(sF31))))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f3255,f894]) ).
fof(f11140,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sF32)))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f3256,f542]) ).
fof(f11271,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF35))
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f11140,f550]) ).
fof(f11314,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF36)
| v1_xboole_0(X0)
| ~ v1_waybel_0(X0,k2_yellow_1(sF31))
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f11271,f552]) ).
fof(f11336,plain,
( ! [X0] :
( ~ v1_waybel_0(X0,sF32)
| ~ m1_subset_1(X0,sF36)
| v1_xboole_0(X0)
| k3_tarski(X0) = k1_yellow_0(k2_yellow_1(sF31),X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f11314,f542]) ).
fof(f11352,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF36)
| ~ v1_waybel_0(X0,sF32)
| k1_yellow_0(sF32,X0) = k3_tarski(X0)
| v1_xboole_0(X0) )
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f11336,f542]) ).
fof(f11848,plain,
( ~ v1_waybel_0(sK3,sF32)
| k3_tarski(sK3) = k1_yellow_0(sF32,sK3)
| v1_xboole_0(sK3)
| ~ spl37_31
| spl37_44 ),
inference(resolution,[],[f11352,f553]) ).
fof(f11863,plain,
( k3_tarski(sK3) = k1_yellow_0(sF32,sK3)
| v1_xboole_0(sK3)
| ~ spl37_31
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f11848,f548]) ).
fof(f11864,plain,
( k3_tarski(sK3) = k1_yellow_0(sF32,sK3)
| ~ spl37_31
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f11863,f285]) ).
fof(f11865,plain,
( k3_tarski(sK3) = sF33
| ~ spl37_31
| spl37_44 ),
inference(forward_demodulation,[],[f11864,f544]) ).
fof(f11866,plain,
( sF33 = sF34
| ~ spl37_31
| spl37_44 ),
inference(superposition,[],[f11865,f546]) ).
fof(f11870,plain,
( $false
| ~ spl37_31
| spl37_44 ),
inference(forward_subsumption_resolution,[],[f11866,f547]) ).
fof(f11871,plain,
( ~ spl37_31
| spl37_44 ),
inference(avatar_contradiction_clause,[],[f11870]) ).
cnf(s17,plain,
spl37_31,
inference(sat_conversion,[],[f912]) ).
cnf(s35,plain,
~ spl37_44,
inference(sat_conversion,[],[f1165]) ).
cnf(s420,plain,
( ~ spl37_31
| spl37_44 ),
inference(sat_conversion,[],[f11871]) ).
cnf(s466,plain,
~ spl37_31,
inference(rat,[],[s420,s35]) ).
cnf(s484,plain,
$false,
inference(rat,[],[s17,s466]) ).
fof(f11872,plain,
$false,
inference(avatar_sat_refutation,[],[s484]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT347+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n019.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 14:52:48 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.41/1.25 % (3160974)Will run a generic schedule for satisfiability detection.
% 5.41/1.25 % (3160985)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=677775702:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.41/1.25 % (3160980)% WARNING: option uhcvi not known.
% 5.41/1.25 % (3160983)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2839274241:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.41/1.25 % (3160981)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2205362251:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.41/1.25 % (3160980)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=107206586:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.41/1.25 % (3160979)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2917119638_2999 on theBenchmark for (2999ds/0Mi)
% 5.41/1.25 % (3160984)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=619101018:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.41/1.25 % (3160982)dis+10_1_sil=32000:sp=arity:random_seed=3567253507:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.41/1.25 % TRYING [1]
% 5.41/1.25 % TRYING [2]
% 5.41/1.25 % TRYING [3]
% 5.41/1.25 % TRYING [4]
% 5.41/1.25 % (3160985)Instruction limit reached!
% 5.41/1.25 % (3160985)------------------------------
% 5.41/1.25 % (3160985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160985)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160985)Termination reason: Instruction limit
% 5.41/1.25 % (3160985)Termination phase: Saturation
% 5.41/1.25 % (3160985)Time elapsed: 0.084 s
% 5.41/1.25 % (3160985)Peak memory usage: 14 MB
% 5.41/1.25 % (3160985)Instructions burned: 161 (million)
% 5.41/1.25 % TRYING [5]
% 5.41/1.25 % (3160994)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=633464398:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.41/1.25 % TRYING [1]
% 5.41/1.25 % TRYING [2]
% 5.41/1.25 % (3160983)Instruction limit reached!
% 5.41/1.25 % (3160983)------------------------------
% 5.41/1.25 % (3160983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160983)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160983)Termination reason: Instruction limit
% 5.41/1.25 % (3160983)Termination phase: Saturation
% 5.41/1.25 % (3160983)Time elapsed: 0.109 s
% 5.41/1.25 % (3160983)Peak memory usage: 13 MB
% 5.41/1.25 % (3160983)Instructions burned: 117 (million)
% 5.41/1.25 % TRYING [3]
% 5.41/1.25 % (3160982)Instruction limit reached!
% 5.41/1.25 % (3160982)------------------------------
% 5.41/1.25 % (3160982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160982)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160982)Termination reason: Instruction limit
% 5.41/1.25 % (3160982)Termination phase: Saturation
% 5.41/1.25 % (3160982)Time elapsed: 0.112 s
% 5.41/1.25 % (3160982)Peak memory usage: 13 MB
% 5.41/1.25 % (3160982)Instructions burned: 105 (million)
% 5.41/1.25 % TRYING [4]
% 5.41/1.25 % (3160984)Instruction limit reached!
% 5.41/1.25 % (3160984)------------------------------
% 5.41/1.25 % (3160984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160984)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160984)Termination reason: Instruction limit
% 5.41/1.25 % (3160984)Termination phase: Saturation
% 5.41/1.25 % (3160984)Time elapsed: 0.120 s
% 5.41/1.25 % (3160984)Peak memory usage: 16 MB
% 5.41/1.25 % (3160984)Instructions burned: 131 (million)
% 5.41/1.25 % TRYING [5]
% 5.41/1.25 % (3160996)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3584611316:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.41/1.25 % (3160998)ott-21_1_sil=16000:fs=off:random_seed=2377750046:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.41/1.25 % (3160997)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1066605052:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.41/1.25 % TRYING [6]
% 5.41/1.25 % TRYING [6]
% 5.41/1.25 % TRYING [7]
% 5.41/1.25 % (3160996)Instruction limit reached!
% 5.41/1.25 % (3160996)------------------------------
% 5.41/1.25 % (3160996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160996)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160996)Termination reason: Instruction limit
% 5.41/1.25 % (3160996)Termination phase: Saturation
% 5.41/1.25 % (3160996)Time elapsed: 0.132 s
% 5.41/1.25 % (3160996)Peak memory usage: 14 MB
% 5.41/1.25 % (3160996)Instructions burned: 131 (million)
% 5.41/1.25 % (3161002)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4229168203:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 5.41/1.25 % (3160998)Instruction limit reached!
% 5.41/1.25 % (3160998)------------------------------
% 5.41/1.25 % (3160998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160998)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160998)Termination reason: Instruction limit
% 5.41/1.25 % (3160998)Termination phase: Saturation
% 5.41/1.25 % (3160998)Time elapsed: 0.169 s
% 5.41/1.25 % (3160998)Peak memory usage: 12 MB
% 5.41/1.25 % (3160998)Instructions burned: 180 (million)
% 5.41/1.25 % TRYING [7]
% 5.41/1.25 % (3161004)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4149188413:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 5.41/1.25 % TRYING [1]
% 5.41/1.25 % TRYING [2]
% 5.41/1.25 % (3160994)Instruction limit reached!
% 5.41/1.25 % (3160994)------------------------------
% 5.41/1.25 % (3160994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3160994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3160994)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3160994)Termination reason: Instruction limit
% 5.41/1.25 % (3160994)Termination phase: Finite model building constraint generation
% 5.41/1.25 % (3160994)Time elapsed: 0.272 s
% 5.41/1.25 % (3160994)Peak memory usage: 28 MB
% 5.41/1.25 % (3160994)Instructions burned: 715 (million)
% 5.41/1.25 % TRYING [3]
% 5.41/1.25 % TRYING [4]
% 5.41/1.25 % (3161006)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1790230274:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.41/1.25 % TRYING [5]
% 5.41/1.25 % TRYING [6]
% 5.41/1.25 % (3161004)Instruction limit reached!
% 5.41/1.25 % (3161004)------------------------------
% 5.41/1.25 % (3161004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3161004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3161004)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3161004)Termination reason: Instruction limit
% 5.41/1.25 % (3161004)Termination phase: Finite model building SAT solving
% 5.41/1.25 % (3161004)Time elapsed: 0.336 s
% 5.41/1.25 % (3161004)Peak memory usage: 20 MB
% 5.41/1.25 % (3161004)Instructions burned: 867 (million)
% 5.41/1.25 % (3161009)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2971095317:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 5.41/1.25 % (3161006) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3160974-3161006"...
% 5.41/1.25 % (3161006)...printing done.
% 5.41/1.25 % (3161006)Refutation found. Thanks to Tanya!
% 5.41/1.25 % SZS status Theorem for theBenchmark
% 5.41/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 5.41/1.25 % (3161006)------------------------------
% 5.41/1.25 % (3161006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.41/1.25 % (3161006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/1.25 % (3161006)CaDiCaL version: 2.1.3
% 5.41/1.25 % (3161006)Termination reason: Refutation
% 5.41/1.25 % (3161006)Time elapsed: 0.349 s
% 5.41/1.25 % (3161006)Peak memory usage: 17 MB
% 5.41/1.25 % (3161006)Instructions burned: 341 (million)
% 5.41/1.25 % (3160974)Success in time 0.794 s
% 5.41/1.25 % Vampire exiting
%------------------------------------------------------------------------------