%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO568+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 09:54:45 AM UTC 2026
% Result : Theorem 2.41s 0.97s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 22
% Syntax : Number of formulae : 138 ( 14 unt; 2 def)
% Number of atoms : 372 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 402 ( 168 ~; 160 |; 51 &)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-4 aty)
% Number of variables : 579 ( 0 sgn 558 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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/Axioms/GEO012+0.ax',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/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD43) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( circle(X3,X0,X1,X2)
& perp(X3,X0,X0,X4) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& para(X0,X1,X2,X3) )
=> eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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/Axioms/GEO012+0.ax',ruleD56) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3)
& cyclic(X0,X1,X2,X3) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f90,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( ( perp(X0,X2,X2,X1)
& cyclic(X0,X1,X2,X3) )
=> circle(X4,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) )
=> perp(X0,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214030) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) )
=> perp(X0,X3,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f117,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
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(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(f164,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4) ),
inference(flattening,[],[f164]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f55]) ).
fof(f177,plain,
! [X0,X1,X2,X3] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(flattening,[],[f176]) ).
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(f182,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f182]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f239,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f90]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f239]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ perp(X0,X3,X4,X5)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X3)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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(f260,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f267,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(f268,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
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(f270,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f271,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(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X4] :
( ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f305,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X3)
| eqangle(X0,X3,X2,X3,X2,X3,X2,X1) ),
inference(cnf_transformation,[],[f177]) ).
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(f308,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f356,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ perp(X0,X2,X2,X1)
| circle(sK15(X0,X1,X2,X3),X0,X1,X2) ),
inference(cnf_transformation,[],[f240]) ).
fof(f365,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f250]) ).
fof(f370,plain,
perp(sK20,sK22,sK27,sK23),
inference(cnf_transformation,[],[f250]) ).
fof(f374,plain,
~ perp(sK20,sK23,sK24,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f457,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK27,sK23) ),
inference(resolution,[],[f259,f370]) ).
fof(f461,plain,
! [X0,X1] :
( ~ para(X0,X1,sK25,sK21)
| perp(X0,X1,sK20,sK22) ),
inference(resolution,[],[f260,f365]) ).
fof(f497,plain,
para(sK25,sK21,sK27,sK23),
inference(resolution,[],[f457,f365]) ).
fof(f500,plain,
para(sK27,sK23,sK25,sK21),
inference(resolution,[],[f497,f255]) ).
fof(f519,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f268,f290]) ).
fof(f523,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f519,f289]) ).
fof(f549,plain,
perp(sK27,sK23,sK20,sK22),
inference(resolution,[],[f461,f500]) ).
fof(f554,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK27,sK23)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f549,f259]) ).
fof(f579,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(f593,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X0,X1,X5,X4,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f579,f268]) ).
fof(f595,definition,
( spl29_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_1])],[avatar_definition]) ).
fof(f596,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_1 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f598,definition,
( spl29_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_2])],[avatar_definition]) ).
fof(f599,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_2 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f604,plain,
( ! [X0,X1] : para(X0,X1,X1,X0)
| ~ spl29_1 ),
inference(resolution,[],[f596,f523]) ).
fof(f671,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X5,X4,X0,X1) ),
inference(resolution,[],[f270,f519]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X5,X4)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f593,f269]) ).
fof(f718,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X3,X2,X4,X5,X1,X0,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f671,f268]) ).
fof(f879,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X1,X0,X4,X5,X3,X2,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f718,f270]) ).
fof(f1111,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X1,X0,X4,X5,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f879,f269]) ).
fof(f1227,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f1111,f289]) ).
fof(f1343,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X5,X4)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f271,f707]) ).
fof(f1868,plain,
! [X0,X1] :
( ~ coll(X0,X1,X1)
| cyclic(X1,X1,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[],[f293,f1343]) ).
fof(f1920,plain,
! [X0,X1] :
( cyclic(X1,X1,X0,X1)
| ~ para(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f1868,f317]) ).
fof(f1944,plain,
( ! [X0,X1] : cyclic(X1,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f1920,f596]) ).
fof(f1966,plain,
( ! [X0,X1] : cyclic(X0,X0,X0,X1)
| ~ spl29_1 ),
inference(resolution,[],[f1944,f264]) ).
fof(f2005,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X0,X0,X1)
| cyclic(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f1966,f267]) ).
fof(f2012,plain,
( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f2005,f1966]) ).
fof(f2021,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f2012,f267]) ).
fof(f2028,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f2021,f2012]) ).
fof(f4628,plain,
( ! [X2,X3,X0,X1] :
( eqangle(X0,X3,X2,X3,X2,X3,X2,X1)
| ~ para(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f305,f2028]) ).
fof(f5464,plain,
( ! [X2,X3,X0,X1] :
( eqangle(X2,X3,X0,X3,X2,X1,X2,X3)
| ~ para(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f4628,f269]) ).
fof(f6357,plain,
( ! [X2,X3,X0,X1] :
( eqangle(X3,X2,X0,X3,X2,X1,X2,X3)
| ~ para(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f5464,f268]) ).
fof(f6548,plain,
( ! [X2,X3,X0,X1] :
( eqangle(X2,X1,X2,X3,X3,X2,X0,X3)
| ~ para(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f6357,f270]) ).
fof(f6706,plain,
( ! [X2,X3,X0,X1] :
( eqangle(X1,X2,X2,X3,X3,X2,X0,X3)
| ~ para(X0,X1,X2,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f6548,f268]) ).
fof(f8788,plain,
( ! [X2,X3,X0,X1] :
( ~ perp(X0,X2,X2,X1)
| circle(sK15(X0,X1,X2,X3),X0,X1,X2) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f356,f2028]) ).
fof(f10472,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| perp(X2,X0,X0,X3) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f308,f2028]) ).
fof(f18246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f294,f2028]) ).
fof(f18247,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f18246,f2028]) ).
fof(f18248,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f18247,f2028]) ).
fof(f18412,plain,
( ! [X0,X1] :
( cong(X0,X1,X0,X1)
| ~ para(X1,X0,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f18248,f6706]) ).
fof(f18430,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f18412,f604]) ).
fof(f18462,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X2,X0,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f18430,f10472]) ).
fof(f18463,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) )
| ~ spl29_1 ),
inference(resolution,[],[f18430,f307]) ).
fof(f18481,plain,
( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f18463,f18430]) ).
fof(f18482,plain,
( ! [X2,X0,X1] : perp(X2,X0,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f18462,f18430]) ).
fof(f18590,plain,
( ! [X2,X0,X1] : circle(sK15(X0,X1,X0,X2),X0,X1,X0)
| ~ spl29_1 ),
inference(resolution,[],[f18481,f8788]) ).
fof(f20700,plain,
( ! [X2,X3,X0,X1] :
( ~ perp(sK15(X0,X1,X0,X2),X0,X0,X3)
| eqangle(X0,X3,X0,X1,X0,X0,X0,X1) )
| ~ spl29_1 ),
inference(resolution,[],[f18590,f299]) ).
fof(f20707,plain,
( ! [X3,X0,X1] : eqangle(X0,X3,X0,X1,X0,X0,X0,X1)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f20700,f18482]) ).
fof(f21050,plain,
( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
| ~ spl29_1 ),
inference(resolution,[],[f20707,f18248]) ).
fof(f21262,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) )
| ~ spl29_1 ),
inference(resolution,[],[f21050,f307]) ).
fof(f21282,plain,
( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
| ~ spl29_1 ),
inference(forward_subsumption_resolution,[],[f21262,f21050]) ).
fof(f21869,plain,
( $false
| ~ spl29_1 ),
inference(resolution,[],[f21282,f374]) ).
fof(f21898,plain,
~ spl29_1,
inference(avatar_contradiction_clause,[],[f21869]) ).
fof(f22057,plain,
( spl29_1
| spl29_2 ),
inference(avatar_split_clause,[],[f1227,f598,f595]) ).
fof(f22818,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f370,f554]) ).
fof(f22824,plain,
( $false
| ~ spl29_2 ),
inference(forward_subsumption_resolution,[],[f22818,f599]) ).
fof(f22825,plain,
~ spl29_2,
inference(avatar_contradiction_clause,[],[f22824]) ).
cnf(s411,plain,
~ spl29_1,
inference(sat_conversion,[],[f21898]) ).
cnf(s457,plain,
( spl29_1
| spl29_2 ),
inference(sat_conversion,[],[f22057]) ).
cnf(s513,plain,
~ spl29_2,
inference(sat_conversion,[],[f22825]) ).
cnf(s516,plain,
spl29_1,
inference(rat,[],[s457,s513]) ).
cnf(s517,plain,
$false,
inference(rat,[],[s411,s516]) ).
fof(f22828,plain,
$false,
inference(avatar_sat_refutation,[],[s517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO568+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n004.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:32:22 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.41/0.97 % (3200535)Will run a generic schedule for satisfiability detection.
% 2.41/0.97 % (3200545)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1256741433:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.41/0.97 % (3200541)% WARNING: option uhcvi not known.
% 2.41/0.97 % (3200540)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2408480372_2999 on theBenchmark for (2999ds/0Mi)
% 2.41/0.97 % (3200541)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1412304337:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.41/0.97 % (3200542)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2979584801:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.41/0.97 % (3200543)dis+10_1_sil=32000:sp=arity:random_seed=2755125148:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.41/0.97 % (3200544)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1560377662:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.41/0.97 % (3200546)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1090889512:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.41/0.97 % TRYING [1]
% 2.41/0.97 % TRYING [2]
% 2.41/0.97 % (3200545)Instruction limit reached!
% 2.41/0.97 % (3200545)------------------------------
% 2.41/0.97 % (3200545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % TRYING [3]
% 2.41/0.97 % (3200545)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200545)Termination reason: Instruction limit
% 2.41/0.97 % (3200545)Termination phase: Saturation
% 2.41/0.97 % (3200545)Time elapsed: 0.044 s
% 2.41/0.97 % (3200545)Peak memory usage: 14 MB
% 2.41/0.97 % (3200545)Instructions burned: 132 (million)
% 2.41/0.97 % (3200554)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=544047985:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.41/0.97 % TRYING [1]
% 2.41/0.97 % TRYING [2]
% 2.41/0.97 % (3200543)Instruction limit reached!
% 2.41/0.97 % (3200543)------------------------------
% 2.41/0.97 % (3200543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200543)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200543)Termination reason: Instruction limit
% 2.41/0.97 % (3200543)Termination phase: Saturation
% 2.41/0.97 % (3200543)Time elapsed: 0.067 s
% 2.41/0.97 % (3200543)Peak memory usage: 12 MB
% 2.41/0.97 % (3200543)Instructions burned: 104 (million)
% 2.41/0.97 % (3200544)Instruction limit reached!
% 2.41/0.97 % (3200544)------------------------------
% 2.41/0.97 % (3200544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200544)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200544)Termination reason: Instruction limit
% 2.41/0.97 % (3200544)Termination phase: Saturation
% 2.41/0.97 % (3200544)Time elapsed: 0.068 s
% 2.41/0.97 % (3200544)Peak memory usage: 13 MB
% 2.41/0.97 % (3200544)Instructions burned: 116 (million)
% 2.41/0.97 % TRYING [3]
% 2.41/0.97 % (3200556)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1127639901:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.41/0.97 % (3200557)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=746874021:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.41/0.97 % (3200546)Instruction limit reached!
% 2.41/0.97 % (3200546)------------------------------
% 2.41/0.97 % (3200546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200546)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200546)Termination reason: Instruction limit
% 2.41/0.97 % (3200546)Termination phase: Saturation
% 2.41/0.97 % (3200546)Time elapsed: 0.103 s
% 2.41/0.97 % (3200546)Peak memory usage: 14 MB
% 2.41/0.97 % (3200546)Instructions burned: 159 (million)
% 2.41/0.97 % (3200560)ott-21_1_sil=16000:fs=off:random_seed=3583536152:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.41/0.97 % (3200556)Instruction limit reached!
% 2.41/0.97 % (3200556)------------------------------
% 2.41/0.97 % (3200556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200556)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200556)Termination reason: Instruction limit
% 2.41/0.97 % (3200556)Termination phase: Saturation
% 2.41/0.97 % (3200556)Time elapsed: 0.081 s
% 2.41/0.97 % (3200556)Peak memory usage: 14 MB
% 2.41/0.97 % (3200556)Instructions burned: 131 (million)
% 2.41/0.97 % (3200554)Instruction limit reached!
% 2.41/0.97 % (3200554)------------------------------
% 2.41/0.97 % (3200554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200554)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200554)Termination reason: Instruction limit
% 2.41/0.97 % (3200554)Termination phase: Finite model building constraint generation
% 2.41/0.97 % (3200554)Time elapsed: 0.134 s
% 2.41/0.97 % (3200554)Peak memory usage: 24 MB
% 2.41/0.97 % (3200554)Instructions burned: 716 (million)
% 2.41/0.97 % (3200562)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1321287223:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.41/0.97 % (3200563)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=722998190:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.41/0.97 % TRYING [1]
% 2.41/0.97 % TRYING [2]
% 2.41/0.97 % (3200560)Instruction limit reached!
% 2.41/0.97 % (3200560)------------------------------
% 2.41/0.97 % (3200560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200560)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200560)Termination reason: Instruction limit
% 2.41/0.97 % (3200560)Termination phase: Saturation
% 2.41/0.97 % (3200560)Time elapsed: 0.095 s
% 2.41/0.97 % (3200560)Peak memory usage: 13 MB
% 2.41/0.97 % (3200560)Instructions burned: 180 (million)
% 2.41/0.97 % TRYING [3]
% 2.41/0.97 % (3200566)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=553466067:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.41/0.97 % (3200563)Instruction limit reached!
% 2.41/0.97 % (3200563)------------------------------
% 2.41/0.97 % (3200563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200563)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200563)Termination reason: Instruction limit
% 2.41/0.97 % (3200563)Termination phase: Finite model building constraint generation
% 2.41/0.97 % (3200563)Time elapsed: 0.163 s
% 2.41/0.97 % (3200563)Peak memory usage: 51 MB
% 2.41/0.97 % (3200563)Instructions burned: 869 (million)
% 2.41/0.97 % (3200568)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=405138214:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 2.41/0.97 % (3200568)Cannot represent all propositional literals internally
% 2.41/0.97 % (3200568)Refutation not found, incomplete strategy
% 2.41/0.97 % (3200568)------------------------------
% 2.41/0.97 % (3200568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200568)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200568)Termination reason: Refutation not found, incomplete strategy
% 2.41/0.97 % (3200568)Time elapsed: 0.003 s
% 2.41/0.97 % (3200568)Peak memory usage: 10 MB
% 2.41/0.97 % (3200568)Instructions burned: 13 (million)
% 2.41/0.97 % (3200568)------------------------------
% 2.41/0.97 % (3200568)------------------------------
% 2.41/0.97 % (3200570)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=2902351:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 2.41/0.97 % (3200562)Instruction limit reached!
% 2.41/0.97 % (3200562)------------------------------
% 2.41/0.97 % (3200562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200562)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200562)Termination reason: Instruction limit
% 2.41/0.97 % (3200562)Termination phase: Saturation
% 2.41/0.97 % (3200562)Time elapsed: 0.292 s
% 2.41/0.97 % (3200562)Peak memory usage: 15 MB
% 2.41/0.97 % (3200562)Instructions burned: 478 (million)
% 2.41/0.97 % (3200557) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3200535-3200557"...
% 2.41/0.97 % (3200557)...printing done.
% 2.41/0.97 % (3200557)Refutation found. Thanks to Tanya!
% 2.41/0.97 % SZS status Theorem for theBenchmark
% 2.41/0.97 % SZS output start Proof for theBenchmark
% See solution above
% 2.41/0.97 % (3200557)------------------------------
% 2.41/0.97 % (3200557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.41/0.97 % (3200557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.41/0.97 % (3200557)CaDiCaL version: 2.1.3
% 2.41/0.97 % (3200557)Termination reason: Refutation
% 2.41/0.97 % (3200557)Time elapsed: 0.395 s
% 2.41/0.97 % (3200557)Peak memory usage: 20 MB
% 2.41/0.97 % (3200557)Instructions burned: 668 (million)
% 2.41/0.97 % (3200535)Success in time 0.532 s
% 2.41/0.97 % Vampire exiting
%------------------------------------------------------------------------------