%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO559+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:52:56 AM UTC 2026
% Result : Theorem 6.67s 1.94s
% Output : Refutation 8.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 8 unt; 2 def)
% Number of atoms : 250 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 269 ( 111 ~; 105 |; 36 &)
% ( 2 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-4 aty)
% Number of variables : 385 ( 0 sgn 363 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ruleD9) ).
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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
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/sandbox/benchmark/theBenchmark.p',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/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) )
=> para(X2,X7,X6,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012019) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) )
=> para(X2,X7,X6,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
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(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
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(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ para(sK22,sK27,sK26,sK24)
& circle(sK23,sK20,sK21,sK22)
& circle(sK25,sK20,sK21,sK24)
& circle(sK25,sK20,sK26,sK28)
& coll(sK26,sK20,sK22)
& circle(sK23,sK21,sK27,sK29)
& coll(sK27,sK21,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),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),skolemize(X9,sK29)],[f250]) ).
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(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(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
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(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
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(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f389,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK22,sK27,sK26,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f311,f314]) ).
fof(f392,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f391]) ).
fof(f396,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X4,X5,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3)
| para(X4,X5,X1,X0) ),
inference(resolution,[],[f370,f279]) ).
fof(f411,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f415,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f411,f309]) ).
fof(f419,definition,
( spl30_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f420,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f422,definition,
( spl30_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f423,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f424,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f415,f422,f419]) ).
fof(f439,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f442,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f439,f313]) ).
fof(f443,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f439,f312]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,sK11(X0,X2,X3,X1),X0)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f278,f370]) ).
fof(f456,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(resolution,[],[f454,f396]) ).
fof(f460,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X1,X2,X3)
| para(X1,X0,X1,X0) ),
inference(duplicate_literal_removal,[],[f456]) ).
fof(f461,plain,
( ! [X2,X3,X0,X1] : ~ circle(X0,X1,X2,X3)
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f460,f423]) ).
fof(f462,plain,
( $false
| ~ spl30_2 ),
inference(resolution,[],[f461,f389]) ).
fof(f469,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f462]) ).
fof(f470,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f443,f420]) ).
fof(f471,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f442,f420]) ).
fof(f472,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f471,f470]) ).
fof(f477,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl30_1 ),
inference(resolution,[],[f472,f287]) ).
fof(f481,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f477,f472]) ).
fof(f487,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) )
| ~ spl30_1 ),
inference(resolution,[],[f481,f392]) ).
fof(f491,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f487,f481]) ).
fof(f493,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f491,f481]) ).
fof(f494,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f493,f327]) ).
fof(f495,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f494,f493]) ).
fof(f496,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f495,f278]) ).
fof(f498,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl30_1 ),
inference(resolution,[],[f495,f279]) ).
fof(f512,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl30_1 ),
inference(resolution,[],[f496,f498]) ).
fof(f513,plain,
( $false
| ~ spl30_1 ),
inference(resolution,[],[f512,f390]) ).
fof(f517,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f513]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f424]) ).
cnf(s5,plain,
~ spl30_2,
inference(sat_conversion,[],[f469]) ).
cnf(s6,plain,
~ spl30_1,
inference(sat_conversion,[],[f517]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s1,s5,s6]) ).
fof(f518,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO559+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n008.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:31:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.67/1.94 % (925606)Detected formulas, will run a generic FOF schedule.
% 6.67/1.94 % (925614)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=296374554:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.67/1.94 % (925614)Instruction limit reached!
% 6.67/1.94 % (925614)------------------------------
% 6.67/1.94 % (925614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925614)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925614)Termination reason: Instruction limit
% 6.67/1.94 % (925614)Termination phase: Saturation
% 6.67/1.94 % (925614)Time elapsed: 0.035 s
% 6.67/1.94 % (925614)Peak memory usage: 89 MB
% 6.67/1.94 % (925614)Instructions burned: 109 (million)
% 6.67/1.94 % (925612)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=876485752:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.67/1.94 % (925611)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=2653704587:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.67/1.94 % (925617)dis-21_1_sil=8000:lcm=predicate:random_seed=928707139: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)
% 6.67/1.94 % (925613)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=1783621817:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.67/1.94 % (925615)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1802498865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.67/1.94 % (925616)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=498442697:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.67/1.94 % (925615)Instruction limit reached!
% 6.67/1.94 % (925615)------------------------------
% 6.67/1.94 % (925615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925615)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925615)Termination reason: Instruction limit
% 6.67/1.94 % (925615)Termination phase: Saturation
% 6.67/1.94 % (925615)Time elapsed: 0.067 s
% 6.67/1.94 % (925615)Peak memory usage: 88 MB
% 6.67/1.94 % (925615)Instructions burned: 119 (million)
% 6.67/1.94 % (925617)Instruction limit reached!
% 6.67/1.94 % (925617)------------------------------
% 6.67/1.94 % (925617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925617)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925617)Termination reason: Instruction limit
% 6.67/1.94 % (925617)Termination phase: Saturation
% 6.67/1.94 % (925617)Time elapsed: 0.076 s
% 6.67/1.94 % (925617)Peak memory usage: 89 MB
% 6.67/1.94 % (925617)Instructions burned: 130 (million)
% 6.67/1.94 % (925616)Instruction limit reached!
% 6.67/1.94 % (925616)------------------------------
% 6.67/1.94 % (925616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925616)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925616)Termination reason: Instruction limit
% 6.67/1.94 % (925616)Termination phase: Saturation
% 6.67/1.94 % (925616)Time elapsed: 0.091 s
% 6.67/1.94 % (925616)Peak memory usage: 89 MB
% 6.67/1.94 % (925616)Instructions burned: 140 (million)
% 6.67/1.94 % (925625)lrs+10_1_sil=8000:sp=occurrence:random_seed=1369036385:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.67/1.94 % (925626)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4244428214:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.67/1.94 % (925626)Refutation not found, incomplete strategy
% 6.67/1.94 % (925626)------------------------------
% 6.67/1.94 % (925626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925626)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925626)Termination reason: Refutation not found, incomplete strategy
% 6.67/1.94 % (925626)Time elapsed: 0.008 s
% 6.67/1.94 % (925626)Peak memory usage: 88 MB
% 6.67/1.94 % (925626)Instructions burned: 13 (million)
% 6.67/1.94 % (925625)Instruction limit reached!
% 6.67/1.94 % (925625)------------------------------
% 6.67/1.94 % (925625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925625)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925625)Termination reason: Instruction limit
% 6.67/1.94 % (925625)Termination phase: Saturation
% 6.67/1.94 % (925625)Time elapsed: 0.099 s
% 6.67/1.94 % (925625)Peak memory usage: 92 MB
% 6.67/1.94 % (925625)Instructions burned: 287 (million)
% 6.67/1.94 % (925628)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=540392667:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.67/1.94 % (925627)lrs+1011_1_sil=32000:sp=occurrence:random_seed=308475859:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.67/1.94 % (925631)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2637917692:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.67/1.94 % (925628)Instruction limit reached!
% 6.67/1.94 % (925628)------------------------------
% 6.67/1.94 % (925628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925628)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925628)Termination reason: Instruction limit
% 6.67/1.94 % (925628)Termination phase: Saturation
% 6.67/1.94 % (925628)Time elapsed: 0.139 s
% 6.67/1.94 % (925628)Peak memory usage: 90 MB
% 6.67/1.94 % (925628)Instructions burned: 249 (million)
% 6.67/1.94 % (925627)Instruction limit reached!
% 6.67/1.94 % (925627)------------------------------
% 6.67/1.94 % (925627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925627)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925627)Termination reason: Instruction limit
% 6.67/1.94 % (925627)Termination phase: Saturation
% 6.67/1.94 % (925627)Time elapsed: 0.208 s
% 6.67/1.94 % (925627)Peak memory usage: 93 MB
% 6.67/1.94 % (925627)Instructions burned: 326 (million)
% 6.67/1.94 % (925631)Instruction limit reached!
% 6.67/1.94 % (925631)------------------------------
% 6.67/1.94 % (925631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925631)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925631)Termination reason: Instruction limit
% 6.67/1.94 % (925631)Termination phase: Saturation
% 6.67/1.94 % (925631)Time elapsed: 0.088 s
% 6.67/1.94 % (925631)Peak memory usage: 89 MB
% 6.67/1.94 % (925631)Instructions burned: 297 (million)
% 6.67/1.94 % (925626)------------------------------
% 6.67/1.94 % (925626)------------------------------
% 6.67/1.94 % (925635)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=199564803:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.67/1.94 % (925637)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2121991756:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.67/1.94 % (925637)Instruction limit reached!
% 6.67/1.94 % (925637)------------------------------
% 6.67/1.94 % (925637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925637)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925637)Termination reason: Instruction limit
% 6.67/1.94 % (925637)Termination phase: Saturation
% 6.67/1.94 % (925637)Time elapsed: 0.037 s
% 6.67/1.94 % (925637)Peak memory usage: 89 MB
% 6.67/1.94 % (925637)Instructions burned: 128 (million)
% 6.67/1.94 % (925636)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3675597142:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.67/1.94 % (925638)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=986198744:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.67/1.94 % (925611)First to succeed.
% 6.67/1.94 % (925611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-925606"
% 6.67/1.94 % (925636)Instruction limit reached!
% 6.67/1.94 % (925636)------------------------------
% 6.67/1.94 % (925636)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925636)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925636)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925636)Termination reason: Instruction limit
% 6.67/1.94 % (925636)Termination phase: Saturation
% 6.67/1.94 % (925636)Time elapsed: 0.066 s
% 6.67/1.94 % (925636)Peak memory usage: 90 MB
% 6.67/1.94 % (925636)Instructions burned: 114 (million)
% 6.67/1.94 % (925612)Also succeeded, but the first one will report.
% 6.67/1.94 % (925638)Instruction limit reached!
% 6.67/1.94 % (925638)------------------------------
% 6.67/1.94 % (925638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.67/1.94 % (925638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.67/1.94 % (925638)CaDiCaL version: 2.1.3
% 6.67/1.94 % (925638)Termination reason: Instruction limit
% 6.67/1.94 % (925638)Termination phase: Saturation
% 6.67/1.94 % (925638)Time elapsed: 0.063 s
% 6.67/1.94 % (925638)Peak memory usage: 90 MB
% 6.67/1.94 % (925638)Instructions burned: 116 (million)
% 6.67/1.94 % (925641)lrs+10_1_sil=8000:sp=occurrence:random_seed=4111799216:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.67/1.94 % (925644)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2003181962:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.67/1.94 % (925645)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=798864426:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 6.67/1.94 % (925611)Refutation found. Thanks to Tanya!
% 6.67/1.94 % SZS status Theorem for theBenchmark
% 6.67/1.94 % SZS output start Proof for theBenchmark
% See solution above
% 8.30/2.15 % (925611)------------------------------
% 8.30/2.15 % (925611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.30/2.15 % (925611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.30/2.15 % (925611)CaDiCaL version: 2.1.3
% 8.30/2.15 % (925611)Termination reason: Refutation
% 8.30/2.15 % (925611)Time elapsed: 0.658 s
% 8.30/2.15 % (925611)Peak memory usage: 130 MB
% 8.30/2.15 % (925611)Instructions burned: 984 (million)
% 8.30/2.15 % (925611)------------------------------
% 8.30/2.15 % (925611)------------------------------
% 8.30/2.15 % (925606)Success in time 1.089 s
% 8.30/2.15 % Vampire exiting
%------------------------------------------------------------------------------