%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO612+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 09:54:52 AM UTC 2026
% Result : Theorem 10.89s 2.33s
% Output : Refutation 10.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 12 unt; 3 def)
% Number of atoms : 234 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 229 ( 87 ~; 77 |; 47 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 301 ( 0 sgn 283 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& circle(X3,X2,X5,X8)
& coll(X5,X2,X4)
& perp(X6,X5,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X5,X1,X2)
& coll(X7,X1,X2) )
=> cyclic(X0,X6,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& circle(X3,X2,X5,X8)
& coll(X5,X2,X4)
& perp(X6,X5,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X5,X1,X2)
& coll(X7,X1,X2) )
=> cyclic(X0,X6,X7,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X0,X6,X7,X1)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& circle(X3,X2,X5,X8)
& coll(X5,X2,X4)
& perp(X6,X5,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X5,X1,X2)
& coll(X7,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cyclic(X0,X6,X7,X1)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& circle(X3,X2,X5,X8)
& coll(X5,X2,X4)
& perp(X6,X5,X0,X2)
& coll(X6,X0,X2)
& perp(X7,X5,X1,X2)
& coll(X7,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cyclic(sK20,sK26,sK27,sK21)
& circle(sK23,sK20,sK21,sK22)
& perp(sK24,sK22,sK20,sK21)
& coll(sK24,sK20,sK21)
& circle(sK23,sK22,sK25,sK28)
& coll(sK25,sK22,sK24)
& perp(sK26,sK25,sK20,sK22)
& coll(sK26,sK20,sK22)
& perp(sK27,sK25,sK21,sK22)
& coll(sK27,sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f391,plain,
perp(sK24,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ cyclic(sK20,sK26,sK27,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f395,definition,
( spl29_1
<=> ! [X2,X0,X1] : coll(X0,X2,X1) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f396,plain,
( ! [X2,X0,X1] : coll(X0,X2,X1)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f820,plain,
perp(sK20,sK21,sK24,sK22),
inference(resolution,[],[f278,f391]) ).
fof(f1103,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f310,f289]) ).
fof(f2190,definition,
( spl29_41
<=> ! [X0,X1] : para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_41])],[avatar_definition]) ).
fof(f2191,plain,
( ! [X0,X1] : para(X0,X1,X0,X1)
| ~ spl29_41 ),
inference(avatar_component_clause,[],[f2190]) ).
fof(f2197,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl29_41 ),
inference(resolution,[],[f2191,f337]) ).
fof(f2204,plain,
( ! [X0,X1] : coll(X0,X1,X0)
| ~ spl29_41 ),
inference(resolution,[],[f2197,f272]) ).
fof(f2207,plain,
( ! [X0,X1] : coll(X0,X0,X1)
| ~ spl29_41 ),
inference(resolution,[],[f2204,f271]) ).
fof(f2212,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) )
| ~ spl29_41 ),
inference(resolution,[],[f273,f2207]) ).
fof(f2237,plain,
( ! [X2,X0,X1] : coll(X1,X2,X0)
| ~ spl29_41 ),
inference(forward_subsumption_resolution,[],[f2212,f2207]) ).
fof(f2534,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f1103,f309]) ).
fof(f2571,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK22)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f391]) ).
fof(f2594,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f2571,f820]) ).
fof(f28505,plain,
( ! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f313,f396]) ).
fof(f29434,plain,
( ! [X2,X0,X1] :
( ~ para(X2,X0,X2,X0)
| cyclic(X0,X1,X2,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f28505,f310]) ).
fof(f30117,definition,
( spl29_304
<=> ! [X2,X0] : ~ para(X2,X0,X2,X0) ),
introduced(definition,[new_symbols(definition,[spl29_304])],[avatar_definition]) ).
fof(f30118,plain,
( ! [X2,X0] : ~ para(X2,X0,X2,X0)
| ~ spl29_304 ),
inference(avatar_component_clause,[],[f30117]) ).
fof(f30119,plain,
( ! [X0] : cyclic(sK21,X0,sK20,sK20)
| ~ spl29_1 ),
inference(resolution,[],[f29434,f2594]) ).
fof(f30135,plain,
( $false
| ~ spl29_304 ),
inference(resolution,[],[f30118,f2594]) ).
fof(f30166,plain,
~ spl29_304,
inference(avatar_contradiction_clause,[],[f30135]) ).
fof(f30169,plain,
( ! [X0] : cyclic(sK21,sK20,X0,sK20)
| ~ spl29_1 ),
inference(resolution,[],[f30119,f285]) ).
fof(f30237,plain,
( ! [X0] : cyclic(sK21,sK20,sK20,X0)
| ~ spl29_1 ),
inference(resolution,[],[f30169,f284]) ).
fof(f30395,plain,
( ! [X0,X1] :
( ~ cyclic(sK21,sK20,sK20,X0)
| cyclic(sK20,sK20,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f30237,f287]) ).
fof(f30400,plain,
( ! [X0,X1] : cyclic(sK20,sK20,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f30395,f30237]) ).
fof(f30732,plain,
( ! [X2,X0,X1] :
( ~ cyclic(sK20,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f30400,f287]) ).
fof(f30738,plain,
( ! [X2,X0,X1] : cyclic(sK20,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f30732,f30400]) ).
fof(f31213,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f30738,f393]) ).
fof(f31220,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f31213]) ).
fof(f43131,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl29_41 ),
inference(resolution,[],[f2191,f337]) ).
fof(f43191,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X2,X1,X0) )
| ~ spl29_41 ),
inference(resolution,[],[f43131,f273]) ).
fof(f43541,plain,
( ! [X2,X0,X1] : coll(X2,X1,X0)
| ~ spl29_41 ),
inference(global_subsumption,[],[f43191,f2237]) ).
fof(f43542,plain,
( spl29_1
| ~ spl29_41 ),
inference(avatar_split_clause,[],[f43541,f2190,f395]) ).
fof(f43603,plain,
( spl29_41
| spl29_304 ),
inference(avatar_split_clause,[],[f2534,f30117,f2190]) ).
cnf(s15196,plain,
~ spl29_304,
inference(sat_conversion,[],[f30166]) ).
cnf(s15783,plain,
~ spl29_1,
inference(sat_conversion,[],[f31220]) ).
cnf(s22803,plain,
( spl29_1
| ~ spl29_41 ),
inference(sat_conversion,[],[f43542]) ).
cnf(s22863,plain,
( spl29_41
| spl29_304 ),
inference(sat_conversion,[],[f43603]) ).
cnf(s22864,plain,
~ spl29_41,
inference(rat,[],[s22803,s15783]) ).
cnf(s22869,plain,
spl29_304,
inference(rat,[],[s22863,s22864]) ).
cnf(s22872,plain,
$false,
inference(rat,[],[s15196,s22869]) ).
fof(f43604,plain,
$false,
inference(avatar_sat_refutation,[],[s22872]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO612+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.40 % Computer : n004.cluster.edu
% 0.15/0.40 % Model : x86_64 x86_64
% 0.15/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.40 % Memory : 8046.5625MB
% 0.15/0.40 % OS : Linux 6.8.0-71-generic
% 0.15/0.40 % CPULimit : 300
% 0.15/0.40 % WCLimit : 300
% 0.15/0.40 % DateTime : Sun Sep 27 08:38:37 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.15/0.44 Running first-order model finding
% 0.15/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.89/2.33 % (3204455)Will run a generic schedule for satisfiability detection.
% 10.89/2.33 % (3204463)% WARNING: option uhcvi not known.
% 10.89/2.33 % (3204463)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1806574577:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 10.89/2.33 % (3204462)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=481286170_2999 on theBenchmark for (2999ds/0Mi)
% 10.89/2.33 % (3204464)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2345216281:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 10.89/2.33 % (3204465)dis+10_1_sil=32000:sp=arity:random_seed=2777345800:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 10.89/2.33 % (3204466)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=233988927:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 10.89/2.33 % (3204467)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1405023050:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 10.89/2.33 % (3204468)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2371397817:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 10.89/2.33 % TRYING [1]
% 10.89/2.33 % TRYING [2]
% 10.89/2.33 % TRYING [3]
% 10.89/2.33 % (3204465)Instruction limit reached!
% 10.89/2.33 % (3204465)------------------------------
% 10.89/2.33 % (3204465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204465)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204465)Termination reason: Instruction limit
% 10.89/2.33 % (3204465)Termination phase: Saturation
% 10.89/2.33 % (3204465)Time elapsed: 0.109 s
% 10.89/2.33 % (3204465)Peak memory usage: 12 MB
% 10.89/2.33 % (3204465)Instructions burned: 103 (million)
% 10.89/2.33 % (3204466)Instruction limit reached!
% 10.89/2.33 % (3204466)------------------------------
% 10.89/2.33 % (3204466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204466)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204466)Termination reason: Instruction limit
% 10.89/2.33 % (3204466)Termination phase: Saturation
% 10.89/2.33 % (3204466)Time elapsed: 0.114 s
% 10.89/2.33 % (3204466)Peak memory usage: 13 MB
% 10.89/2.33 % (3204466)Instructions burned: 117 (million)
% 10.89/2.33 % (3204467)Instruction limit reached!
% 10.89/2.33 % (3204467)------------------------------
% 10.89/2.33 % (3204467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204467)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204467)Termination reason: Instruction limit
% 10.89/2.33 % (3204467)Termination phase: Saturation
% 10.89/2.33 % (3204467)Time elapsed: 0.130 s
% 10.89/2.33 % (3204467)Peak memory usage: 14 MB
% 10.89/2.33 % (3204467)Instructions burned: 132 (million)
% 10.89/2.33 % (3204478)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=875148712:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 10.89/2.33 % (3204477)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3077550755:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 10.89/2.33 % (3204479)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=3395078674:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 10.89/2.33 % (3204468)Instruction limit reached!
% 10.89/2.33 % (3204468)------------------------------
% 10.89/2.33 % (3204468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204468)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204468)Termination reason: Instruction limit
% 10.89/2.33 % (3204468)Termination phase: Saturation
% 10.89/2.33 % (3204468)Time elapsed: 0.167 s
% 10.89/2.33 % (3204468)Peak memory usage: 14 MB
% 10.89/2.33 % (3204468)Instructions burned: 159 (million)
% 10.89/2.33 % TRYING [1]
% 10.89/2.33 % TRYING [2]
% 10.89/2.33 % (3204484)ott-21_1_sil=16000:fs=off:random_seed=161186146:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 10.89/2.33 % TRYING [3]
% 10.89/2.33 % (3204478)Instruction limit reached!
% 10.89/2.33 % (3204478)------------------------------
% 10.89/2.33 % (3204478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204478)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204478)Termination reason: Instruction limit
% 10.89/2.33 % (3204478)Termination phase: Saturation
% 10.89/2.33 % (3204478)Time elapsed: 0.139 s
% 10.89/2.33 % (3204478)Peak memory usage: 14 MB
% 10.89/2.33 % (3204478)Instructions burned: 131 (million)
% 10.89/2.33 % (3204489)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3454600801:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 10.89/2.33 % (3204484)Instruction limit reached!
% 10.89/2.33 % (3204484)------------------------------
% 10.89/2.33 % (3204484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204484)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204484)Termination reason: Instruction limit
% 10.89/2.33 % (3204484)Termination phase: Saturation
% 10.89/2.33 % (3204484)Time elapsed: 0.161 s
% 10.89/2.33 % (3204484)Peak memory usage: 13 MB
% 10.89/2.33 % (3204484)Instructions burned: 181 (million)
% 10.89/2.33 % (3204491)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4041043197:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 10.89/2.33 % TRYING [1]
% 10.89/2.33 % TRYING [2]
% 10.89/2.33 % TRYING [3]
% 10.89/2.33 % (3204477)Instruction limit reached!
% 10.89/2.33 % (3204477)------------------------------
% 10.89/2.33 % (3204477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204477)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204477)Termination reason: Instruction limit
% 10.89/2.33 % (3204477)Termination phase: Finite model building constraint generation
% 10.89/2.33 % (3204477)Time elapsed: 0.487 s
% 10.89/2.33 % (3204477)Peak memory usage: 24 MB
% 10.89/2.33 % (3204477)Instructions burned: 715 (million)
% 10.89/2.33 % (3204497)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3466637310:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 10.89/2.33 % (3204479)Instruction limit reached!
% 10.89/2.33 % (3204479)------------------------------
% 10.89/2.33 % (3204479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204479)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204479)Termination reason: Instruction limit
% 10.89/2.33 % (3204479)Termination phase: Saturation
% 10.89/2.33 % (3204479)Time elapsed: 0.637 s
% 10.89/2.33 % (3204479)Peak memory usage: 18 MB
% 10.89/2.33 % (3204479)Instructions burned: 684 (million)
% 10.89/2.33 % (3204489)Instruction limit reached!
% 10.89/2.33 % (3204489)------------------------------
% 10.89/2.33 % (3204489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204489)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204489)Termination reason: Instruction limit
% 10.89/2.33 % (3204489)Termination phase: Saturation
% 10.89/2.33 % (3204489)Time elapsed: 0.484 s
% 10.89/2.33 % (3204489)Peak memory usage: 14 MB
% 10.89/2.33 % (3204489)Instructions burned: 477 (million)
% 10.89/2.33 % (3204502)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1322712007:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 10.89/2.33 % (3204501)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1442690951:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 10.89/2.33 % (3204501)Cannot represent all propositional literals internally
% 10.89/2.33 % (3204501)Refutation not found, incomplete strategy
% 10.89/2.33 % (3204501)------------------------------
% 10.89/2.33 % (3204501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204501)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204501)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.33 % (3204501)Time elapsed: 0.011 s
% 10.89/2.33 % (3204501)Peak memory usage: 10 MB
% 10.89/2.33 % (3204501)Instructions burned: 13 (million)
% 10.89/2.33 % (3204501)------------------------------
% 10.89/2.33 % (3204501)------------------------------
% 10.89/2.33 % (3204491)Instruction limit reached!
% 10.89/2.33 % (3204491)------------------------------
% 10.89/2.33 % (3204491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204491)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204491)Termination reason: Instruction limit
% 10.89/2.33 % (3204491)Termination phase: Finite model building constraint generation
% 10.89/2.33 % (3204491)Time elapsed: 0.494 s
% 10.89/2.33 % (3204491)Peak memory usage: 51 MB
% 10.89/2.33 % (3204491)Instructions burned: 865 (million)
% 10.89/2.33 % (3204507)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3597331655:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 10.89/2.33 % (3204509)fmb+10_1_sil=64000:random_seed=759960439:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 10.89/2.33 % TRYING [1]
% 10.89/2.33 % TRYING [2]
% 10.89/2.33 % TRYING [3]
% 10.89/2.33 % (3204502)Instruction limit reached!
% 10.89/2.33 % (3204502)------------------------------
% 10.89/2.33 % (3204502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204502)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204502)Termination reason: Instruction limit
% 10.89/2.33 % (3204502)Termination phase: Saturation
% 10.89/2.33 % (3204502)Time elapsed: 0.655 s
% 10.89/2.33 % (3204502)Peak memory usage: 20 MB
% 10.89/2.33 % (3204502)Instructions burned: 692 (million)
% 10.89/2.33 % (3204517)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1390483760:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 10.89/2.33 % (3204517)Cannot represent all propositional literals internally
% 10.89/2.33 % (3204517)Refutation not found, incomplete strategy
% 10.89/2.33 % (3204517)------------------------------
% 10.89/2.33 % (3204517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204517)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204517)Termination reason: Refutation not found, incomplete strategy
% 10.89/2.33 % (3204517)Time elapsed: 0.013 s
% 10.89/2.33 % (3204517)Peak memory usage: 11 MB
% 10.89/2.33 % (3204517)Instructions burned: 13 (million)
% 10.89/2.33 % (3204517)------------------------------
% 10.89/2.33 % (3204517)------------------------------
% 10.89/2.33 % (3204519)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=265406276:fmbsr=1.7:i=920_2984 on theBenchmark for (2984ds/920Mi)
% 10.89/2.33 % TRYING [8]
% 10.89/2.33 % (3204507)Instruction limit reached!
% 10.89/2.33 % (3204507)------------------------------
% 10.89/2.33 % (3204507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.33 % (3204507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.33 % (3204507)CaDiCaL version: 2.1.3
% 10.89/2.33 % (3204507)Termination reason: Instruction limit
% 10.89/2.33 % (3204507)Termination phase: Saturation
% 10.89/2.33 % (3204507)Time elapsed: 0.790 s
% 10.89/2.33 % (3204507)Peak memory usage: 18 MB
% 10.89/2.33 % (3204507)Instructions burned: 879 (million)
% 10.89/2.33 % (3204521)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3005094198:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 10.89/2.33 % (3204464) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3204455-3204464"...
% 10.89/2.33 % (3204464)...printing done.
% 10.89/2.33 % (3204464)Refutation found. Thanks to Tanya!
% 10.89/2.33 % SZS status Theorem for theBenchmark
% 10.89/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 10.89/2.34 % (3204464)------------------------------
% 10.89/2.34 % (3204464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 10.89/2.34 % (3204464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.34 % (3204464)CaDiCaL version: 2.1.3
% 10.89/2.34 % (3204464)Termination reason: Refutation
% 10.89/2.34 % (3204464)Time elapsed: 1.804 s
% 10.89/2.34 % (3204464)Peak memory usage: 29 MB
% 10.89/2.34 % (3204464)Instructions burned: 2019 (million)
% 10.89/2.34 % (3204455)Success in time 1.881 s
% 10.89/2.34 % Vampire exiting
%------------------------------------------------------------------------------