%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO616+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 : n015.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 1.73s 0.73s
% Output : Refutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 18
% Syntax : Number of formulae : 108 ( 12 unt; 2 def)
% Number of atoms : 271 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 275 ( 112 ~; 104 |; 40 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 471 ( 0 sgn 451 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD26) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD27) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD28) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f30,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
& eqratio(X8,X9,X10,X11,X4,X5,X6,X7) )
=> eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD30) ).
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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X1,X2,X3)
& coll(X4,X0,X2)
& coll(X4,X1,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
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(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618078) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
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(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(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f26]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f28]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f30]) ).
fof(f137,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7) ),
inference(flattening,[],[f136]) ).
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(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(f195,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(flattening,[],[f249]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f259,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(f269,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(f276,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f132]) ).
fof(f277,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f278,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f280,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqratio(X8,X9,X10,X11,X4,X5,X6,X7)
| eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f137]) ).
fof(f289,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(f290,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(f307,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(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f319,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7)
| cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f213]) ).
fof(f368,plain,
perp(sK26,sK25,sK20,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f371,plain,
midp(sK24,sK22,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f373,plain,
~ perp(sK25,sK26,sK26,sK28),
inference(cnf_transformation,[],[f250]) ).
fof(f414,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK25)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f259,f368]) ).
fof(f443,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f269,f290]) ).
fof(f454,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f443,f289]) ).
fof(f458,definition,
( spl30_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f459,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f461,definition,
( spl30_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f462,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f463,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f454,f461,f458]) ).
fof(f466,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl30_1 ),
inference(resolution,[],[f459,f317]) ).
fof(f473,plain,
cong(sK24,sK22,sK24,sK21),
inference(resolution,[],[f319,f371]) ).
fof(f636,plain,
perp(sK20,sK21,sK26,sK25),
inference(resolution,[],[f258,f368]) ).
fof(f2539,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X1)
| ~ coll(X0,X2,X2)
| eqratio(X0,X1,X1,X1,X0,X2,X2,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f316,f459]) ).
fof(f2542,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X1)
| eqratio(X0,X1,X1,X1,X0,X2,X2,X2) )
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f2539,f466]) ).
fof(f2543,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X1,X1,X0,X2,X2,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f2542,f466]) ).
fof(f2545,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X0,X2,X1,X1,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2543,f279]) ).
fof(f2548,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X0,X0,X1,X2,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2543,f276]) ).
fof(f2579,plain,
( ! [X2,X0,X1] : eqratio(X0,X0,X1,X1,X2,X0,X2,X1)
| ~ spl30_1 ),
inference(resolution,[],[f2545,f278]) ).
fof(f2581,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X1,X2,X0,X0,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2545,f276]) ).
fof(f2603,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X1,X1,X2,X0,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2548,f278]) ).
fof(f2622,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| cong(X1,X1,X2,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f2579,f326]) ).
fof(f2630,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X2,X0,X1,X1,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2581,f277]) ).
fof(f2698,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X0)
| cong(X1,X2,X2,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f2603,f326]) ).
fof(f2702,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X0,X0,X2,X1,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2603,f276]) ).
fof(f2725,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X0,X1,X1)
| cong(X2,X0,X1,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f2630,f326]) ).
fof(f2729,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X2,X1,X0,X0,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f2630,f276]) ).
fof(f2759,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X0)
| cong(X2,X1,X2,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f2702,f326]) ).
fof(f2797,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X0,X1,X1)
| cong(X0,X2,X1,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f2729,f326]) ).
fof(f2853,plain,
( cong(sK22,sK22,sK21,sK21)
| ~ spl30_1 ),
inference(resolution,[],[f2622,f473]) ).
fof(f3209,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eqratio(X0,X1,X1,X1,X2,X3,X4,X5)
| eqratio(X0,X6,X6,X6,X2,X3,X4,X5) )
| ~ spl30_1 ),
inference(resolution,[],[f280,f2543]) ).
fof(f3240,plain,
( ! [X0] : cong(X0,sK22,sK21,X0)
| ~ spl30_1 ),
inference(resolution,[],[f2853,f2725]) ).
fof(f3277,plain,
( ! [X0] : cong(X0,sK22,X0,X0)
| ~ spl30_1 ),
inference(resolution,[],[f3240,f2759]) ).
fof(f3411,plain,
( ! [X2,X0,X1] : eqratio(X0,X1,X1,X1,X0,X0,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f3209,f2581]) ).
fof(f3444,plain,
( ! [X2,X0,X1] : eqratio(X0,X0,X1,X1,X0,X2,X2,X2)
| ~ spl30_1 ),
inference(resolution,[],[f3411,f278]) ).
fof(f3646,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X1,X1)
| cong(X0,X0,X2,X2) )
| ~ spl30_1 ),
inference(resolution,[],[f3444,f326]) ).
fof(f3981,plain,
( ! [X0] : cong(sK22,X0,sK22,X0)
| ~ spl30_1 ),
inference(resolution,[],[f3277,f2797]) ).
fof(f4574,plain,
( ! [X0] : cong(X0,X0,X0,X0)
| ~ spl30_1 ),
inference(resolution,[],[f3981,f2622]) ).
fof(f5934,plain,
( ! [X0,X1] : cong(X0,X1,X1,X1)
| ~ spl30_1 ),
inference(resolution,[],[f4574,f2698]) ).
fof(f8452,plain,
( ! [X2,X0] : cong(X0,X0,X2,X2)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f3646,f5934]) ).
fof(f8471,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl30_1 ),
inference(resolution,[],[f8452,f2797]) ).
fof(f8482,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) )
| ~ spl30_1 ),
inference(resolution,[],[f8471,f307]) ).
fof(f8501,plain,
( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
| ~ spl30_1 ),
inference(forward_subsumption_resolution,[],[f8482,f8471]) ).
fof(f8597,plain,
( $false
| ~ spl30_1 ),
inference(resolution,[],[f8501,f373]) ).
fof(f8601,plain,
~ spl30_1,
inference(avatar_contradiction_clause,[],[f8597]) ).
fof(f9185,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f636,f414]) ).
fof(f9190,plain,
( $false
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f9185,f462]) ).
fof(f9191,plain,
~ spl30_2,
inference(avatar_contradiction_clause,[],[f9190]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f463]) ).
cnf(s35,plain,
~ spl30_1,
inference(sat_conversion,[],[f8601]) ).
cnf(s40,plain,
~ spl30_2,
inference(sat_conversion,[],[f9191]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s40,s35]) ).
fof(f9192,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO616+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:42:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 1.73/0.73 % (1352344)Will run a generic schedule for satisfiability detection.
% 1.73/0.73 % (1352350)% WARNING: option uhcvi not known.
% 1.73/0.73 % (1352350)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3891337459:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.73/0.73 % (1352349)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3630422609_2999 on theBenchmark for (2999ds/0Mi)
% 1.73/0.73 % (1352351)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2359577020:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.73/0.73 % (1352352)dis+10_1_sil=32000:sp=arity:random_seed=2420838342:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.73/0.73 % (1352353)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2081913437:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.73/0.73 % (1352355)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=470761231:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.73/0.73 % (1352354)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1901879013:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.73/0.73 % TRYING [1]
% 1.73/0.73 % TRYING [2]
% 1.73/0.73 % TRYING [3]
% 1.73/0.73 % (1352352)Instruction limit reached!
% 1.73/0.73 % (1352352)------------------------------
% 1.73/0.73 % (1352352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352352)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352352)Termination reason: Instruction limit
% 1.73/0.73 % (1352352)Termination phase: Saturation
% 1.73/0.73 % (1352352)Time elapsed: 0.066 s
% 1.73/0.73 % (1352352)Peak memory usage: 12 MB
% 1.73/0.73 % (1352352)Instructions burned: 103 (million)
% 1.73/0.73 % (1352353)Instruction limit reached!
% 1.73/0.73 % (1352353)------------------------------
% 1.73/0.73 % (1352353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352353)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352353)Termination reason: Instruction limit
% 1.73/0.73 % (1352353)Termination phase: Saturation
% 1.73/0.73 % (1352353)Time elapsed: 0.069 s
% 1.73/0.73 % (1352353)Peak memory usage: 13 MB
% 1.73/0.73 % (1352353)Instructions burned: 117 (million)
% 1.73/0.73 % (1352354)Instruction limit reached!
% 1.73/0.73 % (1352354)------------------------------
% 1.73/0.73 % (1352354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352354)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352354)Termination reason: Instruction limit
% 1.73/0.73 % (1352354)Termination phase: Saturation
% 1.73/0.73 % (1352354)Time elapsed: 0.082 s
% 1.73/0.73 % (1352354)Peak memory usage: 14 MB
% 1.73/0.73 % (1352354)Instructions burned: 131 (million)
% 1.73/0.73 % (1352363)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=727925806:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.73/0.73 % (1352364)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3157549635:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.73/0.73 % TRYING [1]
% 1.73/0.73 % TRYING [2]
% 1.73/0.73 % (1352355)Instruction limit reached!
% 1.73/0.73 % (1352355)------------------------------
% 1.73/0.73 % (1352355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352355)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352355)Termination reason: Instruction limit
% 1.73/0.73 % (1352355)Termination phase: Saturation
% 1.73/0.73 % (1352355)Time elapsed: 0.097 s
% 1.73/0.73 % (1352355)Peak memory usage: 14 MB
% 1.73/0.73 % (1352355)Instructions burned: 159 (million)
% 1.73/0.73 % (1352365)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=628042868:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.73/0.73 % (1352368)ott-21_1_sil=16000:fs=off:random_seed=1522286374:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.73/0.73 % TRYING [3]
% 1.73/0.73 % (1352364)Instruction limit reached!
% 1.73/0.73 % (1352364)------------------------------
% 1.73/0.73 % (1352364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352364)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352364)Termination reason: Instruction limit
% 1.73/0.73 % (1352364)Termination phase: Saturation
% 1.73/0.73 % (1352364)Time elapsed: 0.083 s
% 1.73/0.73 % (1352364)Peak memory usage: 14 MB
% 1.73/0.73 % (1352364)Instructions burned: 132 (million)
% 1.73/0.73 % (1352371)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1832248151:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.73/0.73 % (1352368)Instruction limit reached!
% 1.73/0.73 % (1352368)------------------------------
% 1.73/0.73 % (1352368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352368)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352368)Termination reason: Instruction limit
% 1.73/0.73 % (1352368)Termination phase: Saturation
% 1.73/0.73 % (1352368)Time elapsed: 0.096 s
% 1.73/0.73 % (1352368)Peak memory usage: 13 MB
% 1.73/0.73 % (1352368)Instructions burned: 182 (million)
% 1.73/0.73 % (1352373)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2224121399:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.73/0.73 % TRYING [1]
% 1.73/0.73 % TRYING [2]
% 1.73/0.73 % (1352365) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1352344-1352365"...
% 1.73/0.73 % (1352365)...printing done.
% 1.73/0.73 % (1352365)Refutation found. Thanks to Tanya!
% 1.73/0.73 % SZS status Theorem for theBenchmark
% 1.73/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 1.73/0.73 % (1352365)------------------------------
% 1.73/0.73 % (1352365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.73/0.73 % (1352365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.73/0.73 % (1352365)CaDiCaL version: 2.1.3
% 1.73/0.73 % (1352365)Termination reason: Refutation
% 1.73/0.73 % (1352365)Time elapsed: 0.164 s
% 1.73/0.73 % (1352365)Peak memory usage: 15 MB
% 1.73/0.73 % (1352365)Instructions burned: 265 (million)
% 1.73/0.73 % (1352344)Success in time 0.306 s
% 1.73/0.73 % Vampire exiting
%------------------------------------------------------------------------------