%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO274+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 09:52:19 AM UTC 2026
% Result : Theorem 5.56s 1.80s
% Output : Refutation 7.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 41 unt; 2 def)
% Number of atoms : 360 ( 155 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 466 ( 210 ~; 210 |; 36 &)
% ( 5 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 123 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ron(vd1089,X0)
& ron(vd1080,X0)
& rline(X0) )
=> X0 = vd1092 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(227), 1), imp(the(227)))') ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ron(vd1089,X0)
& ron(vd1080,X0)
& rline(X0) )
=> X0 = vd1092 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
( ron(vd1089,vd1092)
& ron(vd1080,vd1092)
& rline(vd1092) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(227))), 0), and(pred(s1(plural(the(227))), 0), pred(the(227), 0)))') ).
fof(f4,axiom,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 1)') ).
fof(f5,axiom,
vf(vd1089,vd1085) = vf(vd1089,vd1080),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(226, 1090, 0)') ).
fof(f6,axiom,
rpoint(vd1089),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(226, 0)') ).
fof(f7,axiom,
vd1085 = vd1086,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 4)') ).
fof(f8,axiom,
vd1085 != vd1080,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(225), 1087, 0)') ).
fof(f9,axiom,
rpoint(vd1086),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(225, 1)') ).
fof(f10,axiom,
? [X0] :
( vd1080 = X0
& rpoint(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(s1(plural(224)))') ).
fof(f11,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> vf(X0,X1) = vf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(166), 0), imp(cond(axiom(166), 0)))') ).
fof(f12,axiom,
! [X0,X1] :
( ( ? [X2] :
( X1 = X2
& rpoint(X2) )
& ? [X3] :
( X0 = X3
& rpoint(X3) ) )
=> ( vf(X0,X1) = v0
<=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(162), 0), imp(cond(axiom(162), 0)))') ).
fof(f35,axiom,
v0 = vd684,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(axiom(137), 2)') ).
fof(f67,axiom,
! [X0,X1,X2,X3] :
( ( ron(X1,X3)
& ron(X1,X2)
& ron(X0,X3)
& ron(X0,X2)
& ? [X4] :
( X3 = X4
& rline(X4) )
& ? [X5] :
( X2 = X5
& rline(X5) )
& X0 != X1
& ? [X6] :
( X1 = X6
& rpoint(X6) )
& ? [X7] :
( X0 = X7
& rpoint(X7) ) )
=> X2 = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof(f123,plain,
? [X0] :
( vd1092 != X0
& ron(vd1089,X0)
& ron(vd1080,X0)
& rline(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f124,plain,
? [X0] :
( vd1092 != X0
& ron(vd1089,X0)
& ron(vd1080,X0)
& rline(X0) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f126,plain,
! [X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f128,plain,
! [X0,X1] :
( ( vf(X0,X1) = v0
<=> X0 = X1 )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(flattening,[],[f127]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f225,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| ! [X4] :
( X3 != X4
| ~ rline(X4) )
| ! [X5] :
( X2 != X5
| ~ rline(X5) )
| X0 = X1
| ! [X6] :
( X1 != X6
| ~ rpoint(X6) )
| ! [X7] :
( X0 != X7
| ~ rpoint(X7) ) ),
inference(flattening,[],[f224]) ).
fof(f321,plain,
( vd1092 != sK1
& ron(vd1089,sK1)
& ron(vd1080,sK1)
& rline(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f124]) ).
fof(f322,plain,
( vd1080 = sK2
& rpoint(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f10]) ).
fof(f323,plain,
! [X0,X1] :
( ( ( vf(X0,X1) = v0
| X0 != X1 )
& ( X0 = X1
| vf(X0,X1) != v0 ) )
| ! [X2] :
( X1 != X2
| ~ rpoint(X2) )
| ! [X3] :
( X0 != X3
| ~ rpoint(X3) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f394,plain,
rline(sK1),
inference(cnf_transformation,[],[f321]) ).
fof(f395,plain,
ron(vd1080,sK1),
inference(cnf_transformation,[],[f321]) ).
fof(f396,plain,
ron(vd1089,sK1),
inference(cnf_transformation,[],[f321]) ).
fof(f397,plain,
vd1092 != sK1,
inference(cnf_transformation,[],[f321]) ).
fof(f398,plain,
rline(vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f399,plain,
ron(vd1080,vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f400,plain,
ron(vd1089,vd1092),
inference(cnf_transformation,[],[f3]) ).
fof(f401,plain,
vf(vd1089,vd1080) = vf(vd1085,vd1080),
inference(cnf_transformation,[],[f4]) ).
fof(f402,plain,
vf(vd1089,vd1080) = vf(vd1089,vd1085),
inference(cnf_transformation,[],[f5]) ).
fof(f403,plain,
rpoint(vd1089),
inference(cnf_transformation,[],[f6]) ).
fof(f404,plain,
vd1085 = vd1086,
inference(cnf_transformation,[],[f7]) ).
fof(f405,plain,
vd1080 != vd1085,
inference(cnf_transformation,[],[f8]) ).
fof(f406,plain,
rpoint(vd1086),
inference(cnf_transformation,[],[f9]) ).
fof(f407,plain,
rpoint(sK2),
inference(cnf_transformation,[],[f322]) ).
fof(f408,plain,
vd1080 = sK2,
inference(cnf_transformation,[],[f322]) ).
fof(f409,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vf(X1,X0)
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f126]) ).
fof(f410,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != v0
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f323]) ).
fof(f411,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = v0
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(cnf_transformation,[],[f323]) ).
fof(f461,plain,
v0 = vd684,
inference(cnf_transformation,[],[f35]) ).
fof(f503,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( X2 = X3
| ~ ron(X1,X3)
| ~ ron(X1,X2)
| ~ ron(X0,X3)
| ~ ron(X0,X2)
| X3 != X4
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(cnf_transformation,[],[f225]) ).
fof(f641,plain,
ron(sK2,sK1),
inference(definition_unfolding,[],[f395,f408]) ).
fof(f642,plain,
ron(sK2,vd1092),
inference(definition_unfolding,[],[f399,f408]) ).
fof(f643,plain,
vf(vd1089,sK2) = vf(vd1086,sK2),
inference(definition_unfolding,[],[f401,f408,f404,f408]) ).
fof(f644,plain,
vf(vd1089,sK2) = vf(vd1089,vd1086),
inference(definition_unfolding,[],[f402,f408,f404]) ).
fof(f645,plain,
vd1086 != sK2,
inference(definition_unfolding,[],[f405,f408,f404]) ).
fof(f646,plain,
! [X2,X3,X0,X1] :
( vf(X0,X1) = vd684
| X0 != X1
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f411,f461]) ).
fof(f647,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| vf(X0,X1) != vd684
| X1 != X2
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(definition_unfolding,[],[f410,f461]) ).
fof(f657,plain,
! [X2,X3,X0] :
( vf(X0,X2) = vf(X2,X0)
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f409]) ).
fof(f658,plain,
! [X2,X3] :
( ~ rpoint(X3)
| ~ rpoint(X2)
| vf(X3,X2) = vf(X2,X3) ),
inference(equality_resolution,[],[f657]) ).
fof(f659,plain,
! [X2,X3,X1] :
( vd684 = vf(X1,X1)
| X1 != X2
| ~ rpoint(X2)
| X1 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f646]) ).
fof(f660,plain,
! [X2,X3] :
( vd684 = vf(X2,X2)
| ~ rpoint(X2)
| X2 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f659]) ).
fof(f661,plain,
! [X3] :
( vd684 = vf(X3,X3)
| ~ rpoint(X3)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f660]) ).
fof(f662,plain,
! [X2,X3,X0] :
( X0 = X2
| vf(X0,X2) != vd684
| ~ rpoint(X2)
| X0 != X3
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f647]) ).
fof(f663,plain,
! [X2,X3] :
( vd684 != vf(X3,X2)
| X2 = X3
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(equality_resolution,[],[f662]) ).
fof(f928,plain,
! [X2,X0,X1,X6,X7,X4,X5] :
( X2 = X4
| ~ ron(X1,X4)
| ~ ron(X1,X2)
| ~ ron(X0,X4)
| ~ ron(X0,X2)
| ~ rline(X4)
| X2 != X5
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f503]) ).
fof(f929,plain,
! [X0,X1,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X1,X4)
| ~ ron(X1,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X1
| X1 != X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f928]) ).
fof(f930,plain,
! [X0,X6,X7,X4,X5] :
( X4 = X5
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X0,X4)
| ~ ron(X0,X5)
| ~ rline(X4)
| ~ rline(X5)
| X0 = X6
| ~ rpoint(X6)
| X0 != X7
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f929]) ).
fof(f931,plain,
! [X6,X7,X4,X5] :
( ~ ron(X7,X5)
| ~ ron(X6,X4)
| ~ ron(X6,X5)
| ~ ron(X7,X4)
| X4 = X5
| ~ rline(X4)
| ~ rline(X5)
| X6 = X7
| ~ rpoint(X6)
| ~ rpoint(X7) ),
inference(equality_resolution,[],[f930]) ).
fof(f1339,plain,
! [X3] :
( ~ rpoint(X3)
| vd684 = vf(X3,X3) ),
inference(duplicate_literal_removal,[],[f661]) ).
fof(f1387,plain,
vf(vd1086,sK2) = vf(vd1089,vd1086),
inference(forward_demodulation,[],[f643,f644]) ).
fof(f1388,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK1)
| ~ ron(vd1089,X1)
| sK1 = X1
| ~ rline(X1)
| ~ rline(sK1)
| vd1089 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1089) ),
inference(resolution,[],[f931,f396]) ).
fof(f1392,plain,
vd684 = vf(sK2,sK2),
inference(resolution,[],[f1339,f407]) ).
fof(f1399,definition,
( spl49_13
<=> vd1089 = sK2 ),
introduced(definition,[new_symbols(definition,[spl49_13])],[avatar_definition]) ).
fof(f1401,plain,
( vd1089 = sK2
| ~ spl49_13 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1403,definition,
( spl49_14
<=> vd684 = vf(vd1086,sK2) ),
introduced(definition,[new_symbols(definition,[spl49_14])],[avatar_definition]) ).
fof(f1404,plain,
( vd684 = vf(vd1086,sK2)
| ~ spl49_14 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1405,plain,
( vd684 != vf(vd1086,sK2)
| spl49_14 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1408,plain,
! [X0] :
( ~ rpoint(X0)
| vf(vd1089,X0) = vf(X0,vd1089) ),
inference(resolution,[],[f658,f403]) ).
fof(f1409,plain,
vf(vd1089,sK2) = vf(sK2,vd1089),
inference(resolution,[],[f1408,f407]) ).
fof(f1411,plain,
vf(vd1089,vd1086) = vf(sK2,vd1089),
inference(forward_demodulation,[],[f1409,f644]) ).
fof(f1412,plain,
vf(vd1086,sK2) = vf(sK2,vd1089),
inference(forward_demodulation,[],[f1411,f1387]) ).
fof(f1415,plain,
vf(vd1089,vd1086) = vf(vd1086,vd1089),
inference(resolution,[],[f406,f1408]) ).
fof(f1418,plain,
vf(vd1086,sK2) = vf(vd1086,vd1089),
inference(forward_demodulation,[],[f1415,f1387]) ).
fof(f1419,plain,
( vd684 != vf(vd1086,sK2)
| vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086) ),
inference(superposition,[],[f663,f1418]) ).
fof(f1435,plain,
! [X0,X1] :
( ~ ron(X0,X1)
| ~ ron(X0,sK1)
| ~ ron(vd1089,X1)
| sK1 = X1
| ~ rline(X1)
| vd1089 = X0
| ~ rpoint(X0)
| ~ rpoint(vd1089) ),
inference(forward_subsumption_resolution,[],[f1388,f394]) ).
fof(f1439,plain,
! [X0,X1] :
( ~ ron(vd1089,X1)
| ~ ron(X0,sK1)
| ~ ron(X0,X1)
| sK1 = X1
| ~ rline(X1)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1435,f403]) ).
fof(f1441,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1092)
| vd1092 = sK1
| ~ rline(vd1092)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(resolution,[],[f1439,f400]) ).
fof(f1443,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1092)
| ~ rline(vd1092)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1441,f397]) ).
fof(f1444,plain,
! [X0] :
( ~ ron(X0,sK1)
| ~ ron(X0,vd1092)
| vd1089 = X0
| ~ rpoint(X0) ),
inference(forward_subsumption_resolution,[],[f1443,f398]) ).
fof(f1446,plain,
( ~ ron(sK2,vd1092)
| vd1089 = sK2
| ~ rpoint(sK2) ),
inference(resolution,[],[f1444,f641]) ).
fof(f1447,plain,
( vd1089 = sK2
| ~ rpoint(sK2) ),
inference(forward_subsumption_resolution,[],[f1446,f642]) ).
fof(f1448,plain,
vd1089 = sK2,
inference(forward_subsumption_resolution,[],[f1447,f407]) ).
fof(f1449,plain,
spl49_13,
inference(avatar_split_clause,[],[f1448,f1399]) ).
fof(f1456,plain,
( vf(vd1086,sK2) = vf(sK2,sK2)
| ~ spl49_13 ),
inference(superposition,[],[f1412,f1401]) ).
fof(f1458,plain,
( vd684 = vf(vd1086,sK2)
| ~ spl49_13 ),
inference(forward_demodulation,[],[f1456,f1392]) ).
fof(f1460,plain,
( $false
| ~ spl49_13
| spl49_14 ),
inference(forward_subsumption_resolution,[],[f1458,f1405]) ).
fof(f1461,plain,
( ~ spl49_13
| spl49_14 ),
inference(avatar_contradiction_clause,[],[f1460]) ).
fof(f1466,plain,
( vd1089 = vd1086
| ~ rpoint(vd1089)
| ~ rpoint(vd1086)
| ~ spl49_14 ),
inference(forward_subsumption_resolution,[],[f1419,f1404]) ).
fof(f1468,plain,
( vd1089 = vd1086
| ~ rpoint(vd1086)
| ~ spl49_14 ),
inference(forward_subsumption_resolution,[],[f1466,f403]) ).
fof(f1470,plain,
( vd1089 = vd1086
| ~ spl49_14 ),
inference(forward_subsumption_resolution,[],[f1468,f406]) ).
fof(f1472,plain,
( vd1086 = sK2
| ~ spl49_13
| ~ spl49_14 ),
inference(forward_demodulation,[],[f1470,f1401]) ).
fof(f1475,plain,
( $false
| ~ spl49_13
| ~ spl49_14 ),
inference(forward_subsumption_resolution,[],[f1472,f645]) ).
fof(f1476,plain,
( ~ spl49_13
| ~ spl49_14 ),
inference(avatar_contradiction_clause,[],[f1475]) ).
cnf(s17,plain,
spl49_13,
inference(sat_conversion,[],[f1449]) ).
cnf(s18,plain,
( ~ spl49_13
| spl49_14 ),
inference(sat_conversion,[],[f1461]) ).
cnf(s21,plain,
( ~ spl49_13
| ~ spl49_14 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s22,plain,
~ spl49_14,
inference(rat,[],[s21,s17]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s18,s22,s17]) ).
fof(f1477,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO274+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 07:58:07 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 5.56/1.80 % (3187525)Detected formulas, will run a generic FOF schedule.
% 5.56/1.80 % (3187536)dis-21_1_sil=8000:lcm=predicate:random_seed=761100919: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)
% 5.56/1.80 % (3187534)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=530423740:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.56/1.80 % (3187531)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=4051218033:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.56/1.80 % (3187532)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=720929506:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.56/1.80 % (3187533)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4005838933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.56/1.80 % (3187530)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=273680642:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.56/1.80 % (3187535)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3790162107:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.56/1.80 % (3187536)Instruction limit reached!
% 5.56/1.80 % (3187536)------------------------------
% 5.56/1.80 % (3187536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187536)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187536)Termination reason: Instruction limit
% 5.56/1.80 % (3187536)Termination phase: Saturation
% 5.56/1.80 % (3187536)Time elapsed: 0.035 s
% 5.56/1.80 % (3187536)Peak memory usage: 89 MB
% 5.56/1.80 % (3187536)Instructions burned: 131 (million)
% 5.56/1.80 % (3187533)Instruction limit reached!
% 5.56/1.80 % (3187533)------------------------------
% 5.56/1.80 % (3187533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187533)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187533)Termination reason: Instruction limit
% 5.56/1.80 % (3187533)Termination phase: Saturation
% 5.56/1.80 % (3187533)Time elapsed: 0.059 s
% 5.56/1.80 % (3187533)Peak memory usage: 89 MB
% 5.56/1.80 % (3187533)Instructions burned: 109 (million)
% 5.56/1.80 % (3187534)Instruction limit reached!
% 5.56/1.80 % (3187534)------------------------------
% 5.56/1.80 % (3187534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187534)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187534)Termination reason: Instruction limit
% 5.56/1.80 % (3187534)Termination phase: Saturation
% 5.56/1.80 % (3187534)Time elapsed: 0.066 s
% 5.56/1.80 % (3187534)Peak memory usage: 88 MB
% 5.56/1.80 % (3187534)Instructions burned: 122 (million)
% 5.56/1.80 % (3187535)Instruction limit reached!
% 5.56/1.80 % (3187535)------------------------------
% 5.56/1.80 % (3187535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187535)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187535)Termination reason: Instruction limit
% 5.56/1.80 % (3187535)Termination phase: Saturation
% 5.56/1.80 % (3187535)Time elapsed: 0.084 s
% 5.56/1.80 % (3187535)Peak memory usage: 90 MB
% 5.56/1.80 % (3187535)Instructions burned: 140 (million)
% 5.56/1.80 % (3187544)lrs+10_1_sil=8000:sp=occurrence:random_seed=371340033:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 5.56/1.80 % (3187545)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3377838434:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.56/1.80 % (3187544)Instruction limit reached!
% 5.56/1.80 % (3187544)------------------------------
% 5.56/1.80 % (3187544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187544)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187544)Termination reason: Instruction limit
% 5.56/1.80 % (3187544)Termination phase: Saturation
% 5.56/1.80 % (3187544)Time elapsed: 0.087 s
% 5.56/1.80 % (3187544)Peak memory usage: 92 MB
% 5.56/1.80 % (3187544)Instructions burned: 286 (million)
% 5.56/1.80 % (3187546)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2300875337:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.56/1.80 % (3187547)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=2761540137:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.56/1.80 % (3187545)Instruction limit reached!
% 5.56/1.80 % (3187545)------------------------------
% 5.56/1.80 % (3187545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187545)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187545)Termination reason: Instruction limit
% 5.56/1.80 % (3187545)Termination phase: Saturation
% 5.56/1.80 % (3187545)Time elapsed: 0.069 s
% 5.56/1.80 % (3187545)Peak memory usage: 89 MB
% 5.56/1.80 % (3187545)Instructions burned: 157 (million)
% 5.56/1.80 % (3187550)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=431712096:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.56/1.80 % (3187547)Instruction limit reached!
% 5.56/1.80 % (3187547)------------------------------
% 5.56/1.80 % (3187547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187547)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187547)Termination reason: Instruction limit
% 5.56/1.80 % (3187547)Termination phase: Saturation
% 5.56/1.80 % (3187547)Time elapsed: 0.114 s
% 5.56/1.80 % (3187547)Peak memory usage: 91 MB
% 5.56/1.80 % (3187547)Instructions burned: 250 (million)
% 5.56/1.80 % (3187550)Instruction limit reached!
% 5.56/1.80 % (3187550)------------------------------
% 5.56/1.80 % (3187550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187550)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187550)Termination reason: Instruction limit
% 5.56/1.80 % (3187550)Termination phase: Saturation
% 5.56/1.80 % (3187550)Time elapsed: 0.080 s
% 5.56/1.80 % (3187550)Peak memory usage: 90 MB
% 5.56/1.80 % (3187550)Instructions burned: 295 (million)
% 5.56/1.80 % (3187546)Instruction limit reached!
% 5.56/1.80 % (3187546)------------------------------
% 5.56/1.80 % (3187546)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187546)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187546)Termination reason: Instruction limit
% 5.56/1.80 % (3187546)Termination phase: Saturation
% 5.56/1.80 % (3187546)Time elapsed: 0.173 s
% 5.56/1.80 % (3187546)Peak memory usage: 90 MB
% 5.56/1.80 % (3187546)Instructions burned: 327 (million)
% 5.56/1.80 % (3187553)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=149905264:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.56/1.80 % (3187555)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1332512247:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.56/1.80 % (3187556)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=418686915:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.56/1.80 % (3187556)Instruction limit reached!
% 5.56/1.80 % (3187556)------------------------------
% 5.56/1.80 % (3187556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187556)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187556)Termination reason: Instruction limit
% 5.56/1.80 % (3187556)Termination phase: Saturation
% 5.56/1.80 % (3187556)Time elapsed: 0.033 s
% 5.56/1.80 % (3187556)Peak memory usage: 89 MB
% 5.56/1.80 % (3187556)Instructions burned: 131 (million)
% 5.56/1.80 % (3187555)Instruction limit reached!
% 5.56/1.80 % (3187555)------------------------------
% 5.56/1.80 % (3187555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187555)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187555)Termination reason: Instruction limit
% 5.56/1.80 % (3187555)Termination phase: Saturation
% 5.56/1.80 % (3187555)Time elapsed: 0.059 s
% 5.56/1.80 % (3187555)Peak memory usage: 90 MB
% 5.56/1.80 % (3187555)Instructions burned: 113 (million)
% 5.56/1.80 % (3187558)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2915448927:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.56/1.80 % (3187558)Instruction limit reached!
% 5.56/1.80 % (3187558)------------------------------
% 5.56/1.80 % (3187558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187558)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187558)Termination reason: Instruction limit
% 5.56/1.80 % (3187558)Termination phase: Saturation
% 5.56/1.80 % (3187558)Time elapsed: 0.059 s
% 5.56/1.80 % (3187558)Peak memory usage: 89 MB
% 5.56/1.80 % (3187558)Instructions burned: 114 (million)
% 5.56/1.80 % (3187561)lrs+10_1_sil=8000:sp=occurrence:random_seed=3504804855:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.56/1.80 % (3187530)First to succeed.
% 5.56/1.80 % (3187530)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3187525"
% 5.56/1.80 % (3187562)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4036524904:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.56/1.80 % (3187531)Also succeeded, but the first one will report.
% 5.56/1.80 % (3187562)Refutation not found, incomplete strategy
% 5.56/1.80 % (3187562)------------------------------
% 5.56/1.80 % (3187562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.80 % (3187562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.80 % (3187562)CaDiCaL version: 2.1.3
% 5.56/1.80 % (3187562)Termination reason: Refutation not found, incomplete strategy
% 5.56/1.80 % (3187562)Time elapsed: 0.075 s
% 5.56/1.80 % (3187562)Peak memory usage: 90 MB
% 5.56/1.80 % (3187562)Instructions burned: 129 (million)
% 5.56/1.80 % (3187564)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4216281335:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.56/1.80 % (3187530)Refutation found. Thanks to Tanya!
% 5.56/1.80 % SZS status Theorem for theBenchmark
% 5.56/1.80 % SZS output start Proof for theBenchmark
% See solution above
% 7.10/1.99 % (3187530)------------------------------
% 7.10/1.99 % (3187530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.10/1.99 % (3187530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.10/1.99 % (3187530)CaDiCaL version: 2.1.3
% 7.10/1.99 % (3187530)Termination reason: Refutation
% 7.10/1.99 % (3187530)Time elapsed: 0.612 s
% 7.10/1.99 % (3187530)Peak memory usage: 134 MB
% 7.10/1.99 % (3187530)Instructions burned: 1040 (million)
% 7.10/1.99 % (3187530)------------------------------
% 7.10/1.99 % (3187530)------------------------------
% 7.10/1.99 % (3187525)Success in time 0.937 s
% 7.10/1.99 % Vampire exiting
%------------------------------------------------------------------------------