%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO512+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:52:50 AM UTC 2026
% Result : Theorem 12.65s 2.76s
% Output : Refutation 13.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 107 ( 25 unt; 6 def)
% Number of atoms : 430 ( 102 equ)
% Maximal formula atoms : 30 ( 4 avg)
% Number of connectives : 552 ( 229 ~; 292 |; 25 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-5 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-5 aty)
% Number of variables : 182 ( 0 sgn 175 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f42,axiom,
! [X0,X1,X2] :
( ~ s_col(X0,X1,X2)
| s_col(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_11c) ).
fof(f45,axiom,
! [X0,X1] : s_col(X0,X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12) ).
fof(f46,axiom,
! [X0,X1] : s_col(X0,X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz4_12b) ).
fof(f129,axiom,
! [X0,X1,X2,X3,X4] :
( ( ~ perpAt(X0,X1,X2,X3,X4)
| X0 != X1 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X3 != X4 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,f813(X0,X1,X3,X4,X2)) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,g813(X0,X1,X3,X4,X2)) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X2 != f813(X0,X1,X3,X4,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X2 != g813(X0,X1,X3,X4,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_r(f813(X0,X1,X3,X4,X2),X2,g813(X0,X1,X3,X4,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_13a) ).
fof(f130,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( X0 = X1
| X2 = X3
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X6)
| X4 = X5
| X4 = X6
| ~ s_r(X5,X4,X6)
| perpAt(X0,X1,X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_13b) ).
fof(f142,axiom,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| X2 = X3
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X2,X3,X4)
| s_col(X0,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtCol2) ).
fof(f151,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| X2 = X3
| X0 = X1
| ~ perpAt(X2,X3,X4,X5,X6)
| perpAt(X0,X1,X4,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aExtPerp) ).
fof(f152,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| X2 = X3
| X0 = X1
| ~ perpAt(X2,X3,X4,X5,X6)
| perpAt(X0,X1,X4,X5,X6) ),
inference(negated_conjecture,[status(cth)],[f151]) ).
fof(f164,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,X2) )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X0 != X1 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| X3 != X4 )
& ( ~ perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X3,X4,X6)
| s_r(X5,X2,X6) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| s_col(X0,X1,f811(X0,X1,X3,X4,X2)) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| s_col(X3,X4,g811(X0,X1,X3,X4,X2)) )
& ( perpAt(X0,X1,X2,X3,X4)
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_Defn8_11a) ).
fof(f166,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( s_col(X0,X1,X2)
& s_col(X0,X1,X3)
& X2 != X3
& X0 != X1
& perpAt(X2,X3,X4,X5,X6)
& ~ perpAt(X0,X1,X4,X5,X6) ),
inference(ennf_transformation,[],[f152]) ).
fof(f167,plain,
( s_col(sK0,sK1,sK2)
& s_col(sK0,sK1,sK3)
& sK2 != sK3
& sK0 != sK1
& perpAt(sK2,sK3,sK4,sK5,sK6)
& ~ perpAt(sK0,sK1,sK4,sK5,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6)],[f166]) ).
fof(f168,plain,
~ perpAt(sK0,sK1,sK4,sK5,sK6),
inference(cnf_transformation,[],[f167]) ).
fof(f169,plain,
perpAt(sK2,sK3,sK4,sK5,sK6),
inference(cnf_transformation,[],[f167]) ).
fof(f170,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f167]) ).
fof(f171,plain,
sK2 != sK3,
inference(cnf_transformation,[],[f167]) ).
fof(f172,plain,
s_col(sK0,sK1,sK3),
inference(cnf_transformation,[],[f167]) ).
fof(f173,plain,
s_col(sK0,sK1,sK2),
inference(cnf_transformation,[],[f167]) ).
fof(f179,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,X4)
| X2 = X3
| ~ s_col(X0,X1,X2)
| ~ s_col(X0,X1,X3)
| ~ s_col(X2,X3,X4)
| X0 = X1 ),
inference(cnf_transformation,[],[f142]) ).
fof(f186,plain,
! [X0,X1] : s_col(X0,X1,X0),
inference(cnf_transformation,[],[f46]) ).
fof(f187,plain,
! [X0,X1] : s_col(X0,X0,X1),
inference(cnf_transformation,[],[f45]) ).
fof(f190,plain,
! [X2,X0,X1] :
( s_col(X2,X1,X0)
| ~ s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f195,plain,
! [X2,X3,X0,X1,X4] :
( ~ s_r(f811(X0,X1,X3,X4,X2),X2,g811(X0,X1,X3,X4,X2))
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f164]) ).
fof(f196,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X3,X4,g811(X0,X1,X3,X4,X2))
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f164]) ).
fof(f197,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,f811(X0,X1,X3,X4,X2))
| X0 = X1
| X3 = X4
| ~ s_col(X0,X1,X2)
| ~ s_col(X3,X4,X2)
| perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f164]) ).
fof(f198,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ perpAt(X0,X1,X2,X3,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X3,X4,X6)
| s_r(X5,X2,X6) ),
inference(cnf_transformation,[],[f164]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( perpAt(X0,X1,X4,X2,X3)
| X2 = X3
| ~ s_col(X2,X3,X4)
| ~ s_col(X0,X1,X4)
| ~ s_col(X0,X1,X5)
| ~ s_col(X2,X3,X6)
| X4 = X5
| X4 = X6
| ~ s_r(X5,X4,X6)
| X0 = X1 ),
inference(cnf_transformation,[],[f130]) ).
fof(f209,plain,
! [X2,X3,X0,X1,X4] :
( f813(X0,X1,X3,X4,X2) != X2
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f211,plain,
! [X2,X3,X0,X1,X4] :
( s_col(X0,X1,f813(X0,X1,X3,X4,X2))
| ~ perpAt(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f129]) ).
fof(f212,plain,
! [X2,X3,X0,X1,X4] :
( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X0,X1,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f213,plain,
! [X2,X3,X0,X1,X4] :
( ~ perpAt(X0,X1,X2,X3,X4)
| s_col(X3,X4,X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f214,plain,
! [X2,X3,X0,X1,X4] :
( ~ perpAt(X0,X1,X2,X3,X4)
| X3 != X4 ),
inference(cnf_transformation,[],[f129]) ).
fof(f392,plain,
! [X2,X0,X1,X4] : ~ perpAt(X0,X1,X2,X4,X4),
inference(equality_resolution,[],[f214]) ).
fof(f401,plain,
! [X0,X1] :
( sK5 = sK6
| ~ s_col(sK5,sK6,sK4)
| ~ s_col(sK0,sK1,sK4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK5,sK6,X1)
| sK4 = X0
| sK4 = X1
| ~ s_r(X0,sK4,X1)
| sK0 = sK1 ),
inference(resolution,[],[f168,f206]) ).
fof(f402,plain,
! [X0,X1] :
( sK5 = sK6
| ~ s_col(sK5,sK6,sK4)
| ~ s_col(sK0,sK1,sK4)
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK5,sK6,X1)
| sK4 = X0
| sK4 = X1
| ~ s_r(X0,sK4,X1) ),
inference(forward_subsumption_resolution,[],[f401,f170]) ).
fof(f408,definition,
( spl7_2
<=> s_col(sK5,sK6,sK4) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f409,plain,
( s_col(sK5,sK6,sK4)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f410,plain,
( ~ s_col(sK5,sK6,sK4)
| spl7_2 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f412,definition,
( spl7_3
<=> s_col(sK0,sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f414,plain,
( ~ s_col(sK0,sK1,sK4)
| spl7_3 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f417,definition,
( spl7_4
<=> ! [X0,X1] :
( ~ s_col(sK0,sK1,X0)
| ~ s_r(X0,sK4,X1)
| sK4 = X0
| ~ s_col(sK5,sK6,X1)
| sK4 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f418,plain,
( ! [X0,X1] :
( ~ s_r(X0,sK4,X1)
| ~ s_col(sK0,sK1,X0)
| sK4 = X0
| ~ s_col(sK5,sK6,X1)
| sK4 = X1 )
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f420,definition,
( spl7_5
<=> sK5 = sK6 ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f421,plain,
( sK5 != sK6
| spl7_5 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f422,plain,
( sK5 = sK6
| ~ spl7_5 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f423,plain,
( spl7_4
| ~ spl7_3
| ~ spl7_2
| spl7_5 ),
inference(avatar_split_clause,[],[f402,f420,f408,f412,f417]) ).
fof(f475,plain,
( perpAt(sK2,sK3,sK4,sK5,sK5)
| ~ spl7_5 ),
inference(superposition,[],[f169,f422]) ).
fof(f476,plain,
( $false
| ~ spl7_5 ),
inference(forward_subsumption_resolution,[],[f475,f392]) ).
fof(f477,plain,
~ spl7_5,
inference(avatar_contradiction_clause,[],[f476]) ).
fof(f524,plain,
! [X0,X1] :
( s_r(X0,sK4,X1)
| ~ s_col(sK5,sK6,X1)
| ~ s_col(sK2,sK3,X0) ),
inference(resolution,[],[f198,f169]) ).
fof(f532,plain,
s_col(sK5,sK6,sK4),
inference(resolution,[],[f213,f169]) ).
fof(f537,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f532,f410]) ).
fof(f538,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f537]) ).
fof(f554,plain,
s_col(sK2,sK3,sK4),
inference(resolution,[],[f212,f169]) ).
fof(f578,plain,
( ! [X0,X1] :
( X0 = X1
| ~ s_col(sK0,sK1,X0)
| ~ s_col(sK0,sK1,X1)
| ~ s_col(X0,X1,sK4)
| sK0 = sK1 )
| spl7_3 ),
inference(resolution,[],[f179,f414]) ).
fof(f585,plain,
( ! [X0,X1] :
( ~ s_col(sK0,sK1,X1)
| ~ s_col(sK0,sK1,X0)
| X0 = X1
| ~ s_col(X0,X1,sK4) )
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f578,f170]) ).
fof(f587,plain,
( ! [X0] :
( ~ s_col(sK0,sK1,X0)
| sK3 = X0
| ~ s_col(X0,sK3,sK4) )
| spl7_3 ),
inference(resolution,[],[f585,f172]) ).
fof(f599,plain,
( sK2 = sK3
| ~ s_col(sK2,sK3,sK4)
| spl7_3 ),
inference(resolution,[],[f587,f173]) ).
fof(f608,plain,
( ~ s_col(sK2,sK3,sK4)
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f599,f171]) ).
fof(f609,plain,
( $false
| spl7_3 ),
inference(forward_subsumption_resolution,[],[f608,f554]) ).
fof(f610,plain,
spl7_3,
inference(avatar_contradiction_clause,[],[f609]) ).
fof(f656,plain,
( ! [X0,X1] :
( ~ s_col(sK5,sK6,X0)
| ~ s_col(sK2,sK3,X1)
| ~ s_col(sK0,sK1,X1)
| sK4 = X1
| ~ s_col(sK5,sK6,X0)
| sK4 = X0 )
| ~ spl7_4 ),
inference(resolution,[],[f524,f418]) ).
fof(f661,plain,
( ! [X0,X1] :
( ~ s_col(sK5,sK6,X0)
| ~ s_col(sK2,sK3,X1)
| ~ s_col(sK0,sK1,X1)
| sK4 = X1
| sK4 = X0 )
| ~ spl7_4 ),
inference(duplicate_literal_removal,[],[f656]) ).
fof(f664,definition,
( spl7_14
<=> ! [X1] :
( ~ s_col(sK2,sK3,X1)
| sK4 = X1
| ~ s_col(sK0,sK1,X1) ) ),
introduced(definition,[new_symbols(definition,[spl7_14])],[avatar_definition]) ).
fof(f665,plain,
( ! [X1] :
( ~ s_col(sK2,sK3,X1)
| sK4 = X1
| ~ s_col(sK0,sK1,X1) )
| ~ spl7_14 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f667,definition,
( spl7_15
<=> ! [X0] :
( ~ s_col(sK5,sK6,X0)
| sK4 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl7_15])],[avatar_definition]) ).
fof(f668,plain,
( ! [X0] :
( ~ s_col(sK5,sK6,X0)
| sK4 = X0 )
| ~ spl7_15 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f669,plain,
( spl7_14
| spl7_15
| ~ spl7_4 ),
inference(avatar_split_clause,[],[f661,f417,f667,f664]) ).
fof(f903,plain,
( ! [X0] :
( ~ s_col(sK0,sK1,X0)
| sK4 = X0
| ~ s_col(X0,sK3,sK2) )
| ~ spl7_14 ),
inference(resolution,[],[f190,f665]) ).
fof(f952,plain,
( sK3 = sK4
| ~ s_col(sK3,sK3,sK2)
| ~ spl7_14 ),
inference(resolution,[],[f903,f172]) ).
fof(f953,plain,
( sK2 = sK4
| ~ s_col(sK2,sK3,sK2)
| ~ spl7_14 ),
inference(resolution,[],[f903,f173]) ).
fof(f973,plain,
( sK2 = sK4
| ~ spl7_14 ),
inference(forward_subsumption_resolution,[],[f953,f186]) ).
fof(f974,plain,
( sK3 = sK4
| ~ spl7_14 ),
inference(forward_subsumption_resolution,[],[f952,f187]) ).
fof(f975,plain,
( sK2 = sK3
| ~ spl7_14 ),
inference(forward_demodulation,[],[f974,f973]) ).
fof(f976,plain,
( $false
| ~ spl7_14 ),
inference(forward_subsumption_resolution,[],[f975,f171]) ).
fof(f977,plain,
~ spl7_14,
inference(avatar_contradiction_clause,[],[f976]) ).
fof(f988,plain,
( ! [X2,X0,X1] :
( sK4 = f813(sK5,sK6,X0,X1,X2)
| ~ perpAt(sK5,sK6,X2,X0,X1) )
| ~ spl7_15 ),
inference(resolution,[],[f668,f211]) ).
fof(f989,plain,
( ! [X2,X0,X1] :
( sK4 = f811(sK5,sK6,X0,X1,X2)
| sK5 = sK6
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1) )
| ~ spl7_15 ),
inference(resolution,[],[f668,f197]) ).
fof(f990,plain,
( ! [X2,X0,X1] :
( sK4 = g811(X0,X1,sK5,sK6,X2)
| X0 = X1
| sK5 = sK6
| ~ s_col(X0,X1,X2)
| ~ s_col(sK5,sK6,X2)
| perpAt(X0,X1,X2,sK5,sK6) )
| ~ spl7_15 ),
inference(resolution,[],[f668,f196]) ).
fof(f991,plain,
( ! [X2,X0,X1] :
( sK4 = g811(X0,X1,sK5,sK6,X2)
| X0 = X1
| ~ s_col(X0,X1,X2)
| ~ s_col(sK5,sK6,X2)
| perpAt(X0,X1,X2,sK5,sK6) )
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f990,f421]) ).
fof(f992,plain,
( ! [X2,X0,X1] :
( sK4 = f811(sK5,sK6,X0,X1,X2)
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1) )
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f989,f421]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( ~ s_r(sK4,X2,g811(sK5,sK6,X0,X1,X2))
| sK5 = sK6
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1)
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1) )
| spl7_5
| ~ spl7_15 ),
inference(superposition,[],[f195,f992]) ).
fof(f999,plain,
( ! [X2,X0,X1] :
( ~ s_r(sK4,X2,g811(sK5,sK6,X0,X1,X2))
| sK5 = sK6
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1) )
| spl7_5
| ~ spl7_15 ),
inference(duplicate_literal_removal,[],[f998]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ s_r(sK4,X2,g811(sK5,sK6,X0,X1,X2))
| X0 = X1
| ~ s_col(sK5,sK6,X2)
| ~ s_col(X0,X1,X2)
| perpAt(sK5,sK6,X2,X0,X1) )
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f999,f421]) ).
fof(f1007,plain,
( ! [X0,X1] :
( X0 = X1
| ~ s_col(sK5,sK6,sK4)
| ~ s_col(X0,X1,sK4)
| perpAt(sK5,sK6,sK4,X0,X1)
| ~ s_col(sK5,sK6,g811(sK5,sK6,X0,X1,sK4))
| ~ s_col(sK2,sK3,sK4) )
| spl7_5
| ~ spl7_15 ),
inference(resolution,[],[f1001,f524]) ).
fof(f1012,plain,
( ! [X0,X1] :
( X0 = X1
| ~ s_col(X0,X1,sK4)
| perpAt(sK5,sK6,sK4,X0,X1)
| ~ s_col(sK5,sK6,g811(sK5,sK6,X0,X1,sK4))
| ~ s_col(sK2,sK3,sK4) )
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f1007,f409]) ).
fof(f1013,plain,
( ! [X0,X1] :
( ~ s_col(sK5,sK6,g811(sK5,sK6,X0,X1,sK4))
| ~ s_col(X0,X1,sK4)
| perpAt(sK5,sK6,sK4,X0,X1)
| X0 = X1 )
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f1012,f554]) ).
fof(f1024,plain,
( ~ s_col(sK5,sK6,sK4)
| ~ s_col(sK5,sK6,sK4)
| perpAt(sK5,sK6,sK4,sK5,sK6)
| sK5 = sK6
| sK5 = sK6
| ~ s_col(sK5,sK6,sK4)
| ~ s_col(sK5,sK6,sK4)
| perpAt(sK5,sK6,sK4,sK5,sK6)
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(superposition,[],[f1013,f991]) ).
fof(f1025,plain,
( ~ s_col(sK5,sK6,sK4)
| perpAt(sK5,sK6,sK4,sK5,sK6)
| sK5 = sK6
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(duplicate_literal_removal,[],[f1024]) ).
fof(f1027,plain,
( perpAt(sK5,sK6,sK4,sK5,sK6)
| sK5 = sK6
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f1025,f409]) ).
fof(f1033,plain,
( perpAt(sK5,sK6,sK4,sK5,sK6)
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(forward_subsumption_resolution,[],[f1027,f421]) ).
fof(f1107,plain,
( ! [X2,X0,X1] :
( sK4 != X2
| ~ perpAt(sK5,sK6,X2,X0,X1)
| ~ perpAt(sK5,sK6,X2,X0,X1) )
| ~ spl7_15 ),
inference(superposition,[],[f209,f988]) ).
fof(f1108,plain,
( ! [X2,X0,X1] :
( ~ perpAt(sK5,sK6,X2,X0,X1)
| sK4 != X2 )
| ~ spl7_15 ),
inference(duplicate_literal_removal,[],[f1107]) ).
fof(f1110,plain,
( sK4 != sK4
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(resolution,[],[f1108,f1033]) ).
fof(f1116,plain,
( $false
| ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(trivial_inequality_removal,[],[f1110]) ).
fof(f1117,plain,
( ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(avatar_contradiction_clause,[],[f1116]) ).
cnf(s2,plain,
( ~ spl7_2
| ~ spl7_3
| spl7_4
| spl7_5 ),
inference(sat_conversion,[],[f423]) ).
cnf(s6,plain,
~ spl7_5,
inference(sat_conversion,[],[f477]) ).
cnf(s11,plain,
spl7_2,
inference(sat_conversion,[],[f538]) ).
cnf(s12,plain,
spl7_3,
inference(sat_conversion,[],[f610]) ).
cnf(s15,plain,
( ~ spl7_4
| spl7_14
| spl7_15 ),
inference(sat_conversion,[],[f669]) ).
cnf(s22,plain,
~ spl7_14,
inference(sat_conversion,[],[f977]) ).
cnf(s23,plain,
( ~ spl7_2
| spl7_5
| ~ spl7_15 ),
inference(sat_conversion,[],[f1117]) ).
cnf(s25,plain,
( ~ spl7_4
| spl7_15 ),
inference(rat,[],[s15,s22]) ).
cnf(s27,plain,
~ spl7_15,
inference(rat,[],[s23,s11,s6]) ).
cnf(s29,plain,
~ spl7_4,
inference(rat,[],[s25,s27]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s2,s6,s29,s12,s11]) ).
fof(f1124,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO512+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 % Computer : n006.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:23:11 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.91/2.41 % (2684225)Detected formulas, will run a generic FOF schedule.
% 10.91/2.41 % (2684234)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=641009537:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.91/2.41 % (2684234)Instruction limit reached!
% 10.91/2.41 % (2684234)------------------------------
% 10.91/2.41 % (2684234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.91/2.41 % (2684234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.91/2.41 % (2684234)CaDiCaL version: 2.1.3
% 10.91/2.41 % (2684234)Termination reason: Instruction limit
% 10.91/2.41 % (2684234)Termination phase: Saturation
% 10.91/2.41 % (2684234)Time elapsed: 0.036 s
% 10.91/2.41 % (2684234)Peak memory usage: 88 MB
% 10.91/2.41 % (2684234)Instructions burned: 120 (million)
% 10.91/2.41 % (2684233)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1987115295:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.91/2.41 % (2684231)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=2201674043:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.91/2.41 % (2684230)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=4232636998:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.91/2.41 % (2684236)dis-21_1_sil=8000:lcm=predicate:random_seed=1402105077: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)
% 10.91/2.41 % (2684232)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=938587487:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.91/2.41 % (2684235)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2306936413:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.91/2.41 % (2684233)Refutation not found, incomplete strategy
% 10.91/2.41 % (2684233)------------------------------
% 10.91/2.41 % (2684233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.91/2.41 % (2684233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.91/2.41 % (2684233)CaDiCaL version: 2.1.3
% 10.91/2.41 % (2684233)Termination reason: Refutation not found, incomplete strategy
% 10.91/2.41 % (2684233)Time elapsed: 0.043 s
% 10.91/2.41 % (2684233)Peak memory usage: 89 MB
% 10.91/2.41 % (2684233)Instructions burned: 72 (million)
% 10.91/2.41 % (2684236)Instruction limit reached!
% 10.91/2.41 % (2684236)------------------------------
% 10.91/2.41 % (2684236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.91/2.41 % (2684236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.91/2.41 % (2684236)CaDiCaL version: 2.1.3
% 10.91/2.41 % (2684236)Termination reason: Instruction limit
% 10.91/2.41 % (2684236)Termination phase: Saturation
% 10.91/2.41 % (2684236)Time elapsed: 0.072 s
% 10.91/2.41 % (2684236)Peak memory usage: 89 MB
% 10.91/2.41 % (2684236)Instructions burned: 129 (million)
% 10.91/2.41 % (2684244)lrs+10_1_sil=8000:sp=occurrence:random_seed=2130344620:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.91/2.41 % (2684235)Instruction limit reached!
% 10.91/2.42 % (2684235)------------------------------
% 10.91/2.42 % (2684235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.91/2.42 % (2684235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.91/2.42 % (2684235)CaDiCaL version: 2.1.3
% 10.91/2.42 % (2684235)Termination reason: Instruction limit
% 10.91/2.42 % (2684235)Termination phase: Saturation
% 10.91/2.42 % (2684235)Time elapsed: 0.092 s
% 10.91/2.42 % (2684235)Peak memory usage: 90 MB
% 10.91/2.42 % (2684235)Instructions burned: 139 (million)
% 10.91/2.42 % (2684244)Instruction limit reached!
% 10.91/2.42 % (2684244)------------------------------
% 10.91/2.42 % (2684244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.91/2.42 % (2684244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.91/2.42 % (2684244)CaDiCaL version: 2.1.3
% 10.91/2.42 % (2684244)Termination reason: Instruction limit
% 10.91/2.42 % (2684244)Termination phase: Saturation
% 10.91/2.42 % (2684244)Time elapsed: 0.099 s
% 10.91/2.42 % (2684244)Peak memory usage: 91 MB
% 10.91/2.42 % (2684244)Instructions burned: 287 (million)
% 12.65/2.76 % (2684245)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3544784079:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 12.65/2.76 % (2684247)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1020417196:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 12.65/2.76 % (2684249)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=3182846784:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 12.65/2.76 % (2684245)Instruction limit reached!
% 12.65/2.76 % (2684245)------------------------------
% 12.65/2.76 % (2684245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684245)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684245)Termination reason: Instruction limit
% 12.65/2.76 % (2684245)Termination phase: Saturation
% 12.65/2.76 % (2684245)Time elapsed: 0.072 s
% 12.65/2.76 % (2684245)Peak memory usage: 88 MB
% 12.65/2.76 % (2684245)Instructions burned: 158 (million)
% 12.65/2.76 % (2684233)------------------------------
% 12.65/2.76 % (2684233)------------------------------
% 12.65/2.76 % (2684249)Instruction limit reached!
% 12.65/2.76 % (2684249)------------------------------
% 12.65/2.76 % (2684249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684249)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684249)Termination reason: Instruction limit
% 12.65/2.76 % (2684249)Termination phase: Saturation
% 12.65/2.76 % (2684249)Time elapsed: 0.059 s
% 12.65/2.76 % (2684249)Peak memory usage: 89 MB
% 12.65/2.76 % (2684249)Instructions burned: 250 (million)
% 12.65/2.76 % (2684247)Instruction limit reached!
% 12.65/2.76 % (2684247)------------------------------
% 12.65/2.76 % (2684247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684247)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684247)Termination reason: Instruction limit
% 12.65/2.76 % (2684247)Termination phase: Saturation
% 12.65/2.76 % (2684247)Time elapsed: 0.161 s
% 12.65/2.76 % (2684247)Peak memory usage: 89 MB
% 12.65/2.76 % (2684247)Instructions burned: 325 (million)
% 12.65/2.76 % (2684253)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2883682802:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 12.65/2.76 % (2684255)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=942776979:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 12.65/2.76 % (2684254)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4241652535:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 12.65/2.76 % (2684255)Instruction limit reached!
% 12.65/2.76 % (2684255)------------------------------
% 12.65/2.76 % (2684255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684255)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684255)Termination reason: Instruction limit
% 12.65/2.76 % (2684255)Termination phase: Saturation
% 12.65/2.76 % (2684255)Time elapsed: 0.035 s
% 12.65/2.76 % (2684255)Peak memory usage: 89 MB
% 12.65/2.76 % (2684255)Instructions burned: 114 (million)
% 12.65/2.76 % (2684256)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1913196714:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 12.65/2.76 % (2684260)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=386451558:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 12.65/2.76 % (2684253)Instruction limit reached!
% 12.65/2.76 % (2684253)------------------------------
% 12.65/2.76 % (2684253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684253)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684253)Termination reason: Instruction limit
% 12.65/2.76 % (2684253)Termination phase: Saturation
% 12.65/2.76 % (2684253)Time elapsed: 0.165 s
% 12.65/2.76 % (2684253)Peak memory usage: 89 MB
% 12.65/2.76 % (2684253)Instructions burned: 295 (million)
% 12.65/2.76 % (2684260)Instruction limit reached!
% 12.65/2.76 % (2684260)------------------------------
% 12.65/2.76 % (2684260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684260)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684260)Termination reason: Instruction limit
% 12.65/2.76 % (2684260)Termination phase: Saturation
% 12.65/2.76 % (2684260)Time elapsed: 0.030 s
% 12.65/2.76 % (2684260)Peak memory usage: 89 MB
% 12.65/2.76 % (2684260)Instructions burned: 117 (million)
% 12.65/2.76 % (2684256)Instruction limit reached!
% 12.65/2.76 % (2684256)------------------------------
% 12.65/2.76 % (2684256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684256)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684256)Termination reason: Instruction limit
% 12.65/2.76 % (2684256)Termination phase: Saturation
% 12.65/2.76 % (2684256)Time elapsed: 0.066 s
% 12.65/2.76 % (2684256)Peak memory usage: 89 MB
% 12.65/2.76 % (2684256)Instructions burned: 127 (million)
% 12.65/2.76 % (2684264)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2005095227:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 12.65/2.76 % (2684263)lrs+10_1_sil=8000:sp=occurrence:random_seed=3587008167:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 12.65/2.76 % (2684265)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2555424296:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 12.65/2.76 % (2684264)Instruction limit reached!
% 12.65/2.76 % (2684264)------------------------------
% 12.65/2.76 % (2684264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684264)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684264)Termination reason: Instruction limit
% 12.65/2.76 % (2684264)Termination phase: Saturation
% 12.65/2.76 % (2684264)Time elapsed: 0.135 s
% 12.65/2.76 % (2684264)Peak memory usage: 92 MB
% 12.65/2.76 % (2684264)Instructions burned: 437 (million)
% 12.65/2.76 % (2684269)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=613178361:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 12.65/2.76 % (2684269)Instruction limit reached!
% 12.65/2.76 % (2684269)------------------------------
% 12.65/2.76 % (2684269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684269)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684269)Termination reason: Instruction limit
% 12.65/2.76 % (2684269)Termination phase: Saturation
% 12.65/2.76 % (2684269)Time elapsed: 0.040 s
% 12.65/2.76 % (2684269)Peak memory usage: 90 MB
% 12.65/2.76 % (2684269)Instructions burned: 137 (million)
% 12.65/2.76 % (2684271)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1222710145:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 12.65/2.76 % (2684271)Instruction limit reached!
% 12.65/2.76 % (2684271)------------------------------
% 12.65/2.76 % (2684271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684271)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684271)Termination reason: Instruction limit
% 12.65/2.76 % (2684271)Termination phase: Saturation
% 12.65/2.76 % (2684271)Time elapsed: 0.192 s
% 12.65/2.76 % (2684271)Peak memory usage: 93 MB
% 12.65/2.76 % (2684271)Instructions burned: 593 (million)
% 12.65/2.76 % (2684263)Instruction limit reached!
% 12.65/2.76 % (2684263)------------------------------
% 12.65/2.76 % (2684263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684263)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684263)Termination reason: Instruction limit
% 12.65/2.76 % (2684263)Termination phase: Saturation
% 12.65/2.76 % (2684263)Time elapsed: 0.556 s
% 12.65/2.76 % (2684263)Peak memory usage: 95 MB
% 12.65/2.76 % (2684263)Instructions burned: 907 (million)
% 12.65/2.76 % (2684273)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3389182780:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 12.65/2.76 % (2684274)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1603034178:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2985 on theBenchmark for (2985ds/125Mi)
% 12.65/2.76 % (2684274)Instruction limit reached!
% 12.65/2.76 % (2684274)------------------------------
% 12.65/2.76 % (2684274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684274)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684274)Termination reason: Instruction limit
% 12.65/2.76 % (2684274)Termination phase: Saturation
% 12.65/2.76 % (2684274)Time elapsed: 0.070 s
% 12.65/2.76 % (2684274)Peak memory usage: 89 MB
% 12.65/2.76 % (2684274)Instructions burned: 126 (million)
% 12.65/2.76 % (2684265)First to succeed.
% 12.65/2.76 % (2684265)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2684225"
% 12.65/2.76 % (2684277)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3705182195:i=134:gtgl=5:slsql=off:gtg=exists_sym_2983 on theBenchmark for (2983ds/134Mi)
% 12.65/2.76 % (2684277)Instruction limit reached!
% 12.65/2.76 % (2684277)------------------------------
% 12.65/2.76 % (2684277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.65/2.76 % (2684277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.65/2.76 % (2684277)CaDiCaL version: 2.1.3
% 12.65/2.76 % (2684277)Termination reason: Instruction limit
% 12.65/2.76 % (2684277)Termination phase: Saturation
% 12.65/2.76 % (2684277)Time elapsed: 0.087 s
% 12.65/2.76 % (2684277)Peak memory usage: 89 MB
% 12.65/2.76 % (2684277)Instructions burned: 134 (million)
% 12.65/2.76 % (2684265)Refutation found. Thanks to Tanya!
% 12.65/2.76 % SZS status Theorem for theBenchmark
% 12.65/2.76 % SZS output start Proof for theBenchmark
% See solution above
% 13.93/2.95 % (2684265)------------------------------
% 13.93/2.95 % (2684265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.93/2.95 % (2684265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.93/2.95 % (2684265)CaDiCaL version: 2.1.3
% 13.93/2.95 % (2684265)Termination reason: Refutation
% 13.93/2.95 % (2684265)Time elapsed: 0.765 s
% 13.93/2.95 % (2684265)Peak memory usage: 133 MB
% 13.93/2.95 % (2684265)Instructions burned: 1167 (million)
% 13.93/2.95 % (2684265)------------------------------
% 13.93/2.95 % (2684265)------------------------------
% 13.93/2.95 % (2684225)Success in time 1.892 s
% 13.93/2.95 % Vampire exiting
%------------------------------------------------------------------------------