%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO558+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 : n016.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 09:54:43 AM UTC 2026
% Result : Theorem 22.51s 3.65s
% Output : Refutation 22.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 15 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 336 ( 132 ~; 130 |; 51 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-4 aty)
% Number of variables : 537 ( 511 !; 26 ?)
% 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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& circle(X6,X0,X1,X5)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X8,X11) )
=> perp(X5,X8,X8,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012018) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& circle(X6,X0,X1,X5)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X8,X11) )
=> perp(X5,X8,X8,X3) ),
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(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(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(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(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
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(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,X10,X11] :
( ~ perp(X5,X8,X8,X3)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& circle(X6,X0,X1,X5)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X8,X11) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X5,X8,X8,X3)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& circle(X6,X0,X1,X5)
& circle(X7,X2,X4,X5)
& circle(X6,X0,X8,X10)
& circle(X7,X2,X8,X11) ),
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,
( ~ perp(sK25,sK28,sK28,sK23)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK29)
& coll(sK25,sK20,sK22)
& coll(sK25,sK21,sK24)
& circle(sK26,sK20,sK21,sK25)
& circle(sK27,sK22,sK24,sK25)
& circle(sK26,sK20,sK28,sK30)
& circle(sK27,sK22,sK28,sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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),skolemize(X10,sK30),skolemize(X11,sK31)],[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(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(f299,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(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(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
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(f390,plain,
circle(sK23,sK20,sK24,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ perp(sK25,sK28,sK28,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f490,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f370,f278]) ).
fof(f500,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f561,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(f577,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(f602,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f1054,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f314,f311]) ).
fof(f1060,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f1054]) ).
fof(f1723,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f561,f309]) ).
fof(f1930,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f577,f313]) ).
fof(f1931,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f577,f312]) ).
fof(f1941,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1930,f1931]) ).
fof(f2434,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X1,X2,X4,X5)
| ~ midp(X3,X4,X5)
| cong(X0,X1,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f602,f346]) ).
fof(f3271,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f500,f490]) ).
fof(f3276,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f3271]) ).
fof(f13880,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f3276,f390]) ).
fof(f13886,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f13880,f1723]) ).
fof(f14261,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f13886,f337]) ).
fof(f14262,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f13886,f1941]) ).
fof(f14267,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f13886,f335]) ).
fof(f14290,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f14267,f13886]) ).
fof(f14299,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f14261,f272]) ).
fof(f14608,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f14299,f271]) ).
fof(f14758,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14608,f273]) ).
fof(f14798,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14758,f14608]) ).
fof(f18714,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f14262,f1060]) ).
fof(f18731,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f18714]) ).
fof(f18739,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18731,f14262]) ).
fof(f21830,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f18739,f338]) ).
fof(f21862,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f21830,f14798]) ).
fof(f24679,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f14290,f21862]) ).
fof(f28471,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1)
| ~ midp(X2,X1,X1) ),
inference(resolution,[],[f2434,f18739]) ).
fof(f28791,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f28471,f24679]) ).
fof(f28817,plain,
! [X2,X0,X1] : cong(X2,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f28791,f24679]) ).
fof(f28995,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f28817,f327]) ).
fof(f29069,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f28995,f28817]) ).
fof(f30598,plain,
$false,
inference(resolution,[],[f29069,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO558+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n016.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:35:32 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 8.37/1.74 % (2322755)Will run a generic schedule for satisfiability detection.
% 8.37/1.74 % (2322761)% WARNING: option uhcvi not known.
% 8.37/1.74 % (2322761)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1676556684:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.37/1.74 % (2322763)dis+10_1_sil=32000:sp=arity:random_seed=1106895298:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.37/1.74 % (2322760)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=504951228_2999 on theBenchmark for (2999ds/0Mi)
% 8.37/1.74 % (2322762)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=393751865:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.37/1.74 % (2322764)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2485038285:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.37/1.74 % (2322766)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=683615189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.37/1.74 % (2322765)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2630506836:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.37/1.74 % TRYING [1]
% 8.37/1.74 % TRYING [2]
% 8.37/1.74 % TRYING [3]
% 8.37/1.74 % (2322763)Instruction limit reached!
% 8.37/1.74 % (2322763)------------------------------
% 8.37/1.74 % (2322763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.74 % (2322763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.74 % (2322763)CaDiCaL version: 2.1.3
% 8.37/1.74 % (2322763)Termination reason: Instruction limit
% 8.37/1.74 % (2322763)Termination phase: Saturation
% 8.37/1.74 % (2322763)Time elapsed: 0.065 s
% 8.37/1.74 % (2322763)Peak memory usage: 13 MB
% 8.37/1.74 % (2322763)Instructions burned: 104 (million)
% 8.37/1.74 % (2322764)Instruction limit reached!
% 8.37/1.74 % (2322764)------------------------------
% 8.37/1.74 % (2322764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.74 % (2322764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.74 % (2322764)CaDiCaL version: 2.1.3
% 8.37/1.74 % (2322764)Termination reason: Instruction limit
% 8.37/1.74 % (2322764)Termination phase: Saturation
% 8.37/1.74 % (2322764)Time elapsed: 0.067 s
% 8.37/1.74 % (2322764)Peak memory usage: 13 MB
% 8.37/1.74 % (2322764)Instructions burned: 116 (million)
% 8.37/1.74 % (2322765)Instruction limit reached!
% 8.37/1.74 % (2322765)------------------------------
% 8.37/1.74 % (2322765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.74 % (2322765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.74 % (2322765)CaDiCaL version: 2.1.3
% 8.37/1.74 % (2322765)Termination reason: Instruction limit
% 8.37/1.74 % (2322765)Termination phase: Saturation
% 8.37/1.74 % (2322765)Time elapsed: 0.081 s
% 8.37/1.74 % (2322765)Peak memory usage: 14 MB
% 8.37/1.74 % (2322765)Instructions burned: 131 (million)
% 8.37/1.74 % (2322774)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1610090831:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.37/1.74 % (2322775)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1066706735:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.37/1.74 % (2322766)Instruction limit reached!
% 8.37/1.74 % (2322766)------------------------------
% 8.37/1.74 % (2322766)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.74 % (2322766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.74 % (2322766)CaDiCaL version: 2.1.3
% 8.37/1.74 % (2322766)Termination reason: Instruction limit
% 8.37/1.74 % (2322766)Termination phase: Saturation
% 8.37/1.74 % (2322766)Time elapsed: 0.088 s
% 8.37/1.74 % (2322766)Peak memory usage: 14 MB
% 8.37/1.74 % (2322766)Instructions burned: 160 (million)
% 8.37/1.74 % TRYING [1]
% 8.37/1.74 % TRYING [2]
% 8.37/1.74 % (2322776)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=696839918:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.37/1.74 % (2322779)ott-21_1_sil=16000:fs=off:random_seed=977544468:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.37/1.74 % TRYING [3]
% 8.37/1.74 % (2322775)Instruction limit reached!
% 8.37/1.74 % (2322775)------------------------------
% 8.37/1.74 % (2322775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.74 % (2322775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322775)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322775)Termination reason: Instruction limit
% 22.51/3.65 % (2322775)Termination phase: Saturation
% 22.51/3.65 % (2322775)Time elapsed: 0.084 s
% 22.51/3.65 % (2322775)Peak memory usage: 14 MB
% 22.51/3.65 % (2322775)Instructions burned: 132 (million)
% 22.51/3.65 % (2322782)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2169613244:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 22.51/3.65 % (2322779)Instruction limit reached!
% 22.51/3.65 % (2322779)------------------------------
% 22.51/3.65 % (2322779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322779)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322779)Termination reason: Instruction limit
% 22.51/3.65 % (2322779)Termination phase: Saturation
% 22.51/3.65 % (2322779)Time elapsed: 0.097 s
% 22.51/3.65 % (2322779)Peak memory usage: 13 MB
% 22.51/3.65 % (2322779)Instructions burned: 181 (million)
% 22.51/3.65 % (2322784)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=470824214:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 22.51/3.65 % TRYING [1]
% 22.51/3.65 % TRYING [2]
% 22.51/3.65 % TRYING [3]
% 22.51/3.65 % (2322774)Instruction limit reached!
% 22.51/3.65 % (2322774)------------------------------
% 22.51/3.65 % (2322774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322774)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322774)Termination reason: Instruction limit
% 22.51/3.65 % (2322774)Termination phase: Finite model building constraint generation
% 22.51/3.65 % (2322774)Time elapsed: 0.255 s
% 22.51/3.65 % (2322774)Peak memory usage: 24 MB
% 22.51/3.65 % (2322774)Instructions burned: 719 (million)
% 22.51/3.65 % (2322786)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2685221177:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 22.51/3.65 % (2322782)Instruction limit reached!
% 22.51/3.65 % (2322782)------------------------------
% 22.51/3.65 % (2322782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322782)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322782)Termination reason: Instruction limit
% 22.51/3.65 % (2322782)Termination phase: Saturation
% 22.51/3.65 % (2322782)Time elapsed: 0.276 s
% 22.51/3.65 % (2322782)Peak memory usage: 16 MB
% 22.51/3.65 % (2322782)Instructions burned: 477 (million)
% 22.51/3.65 % (2322788)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3911581810:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 22.51/3.65 % (2322788)Cannot represent all propositional literals internally
% 22.51/3.65 % (2322788)Refutation not found, incomplete strategy
% 22.51/3.65 % (2322788)------------------------------
% 22.51/3.65 % (2322788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322788)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322788)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.65 % (2322788)Time elapsed: 0.006 s
% 22.51/3.65 % (2322788)Peak memory usage: 10 MB
% 22.51/3.65 % (2322788)Instructions burned: 13 (million)
% 22.51/3.65 % (2322788)------------------------------
% 22.51/3.65 % (2322788)------------------------------
% 22.51/3.65 % (2322790)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=3961751254:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 22.51/3.65 % (2322776)Instruction limit reached!
% 22.51/3.65 % (2322776)------------------------------
% 22.51/3.65 % (2322776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322776)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322776)Termination reason: Instruction limit
% 22.51/3.65 % (2322776)Termination phase: Saturation
% 22.51/3.65 % (2322776)Time elapsed: 0.422 s
% 22.51/3.65 % (2322776)Peak memory usage: 20 MB
% 22.51/3.65 % (2322776)Instructions burned: 686 (million)
% 22.51/3.65 % (2322784)Instruction limit reached!
% 22.51/3.65 % (2322784)------------------------------
% 22.51/3.65 % (2322784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322784)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322784)Termination reason: Instruction limit
% 22.51/3.65 % (2322784)Termination phase: Finite model building constraint generation
% 22.51/3.65 % (2322784)Time elapsed: 0.303 s
% 22.51/3.65 % (2322784)Peak memory usage: 51 MB
% 22.51/3.65 % (2322784)Instructions burned: 867 (million)
% 22.51/3.65 % (2322792)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2210284728:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 22.51/3.65 % (2322793)fmb+10_1_sil=64000:random_seed=1953766921:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 22.51/3.65 % TRYING [1]
% 22.51/3.65 % TRYING [2]
% 22.51/3.65 % TRYING [3]
% 22.51/3.65 % (2322790)Instruction limit reached!
% 22.51/3.65 % (2322790)------------------------------
% 22.51/3.65 % (2322790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322790)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322790)Termination reason: Instruction limit
% 22.51/3.65 % (2322790)Termination phase: Saturation
% 22.51/3.65 % (2322790)Time elapsed: 0.414 s
% 22.51/3.65 % (2322790)Peak memory usage: 22 MB
% 22.51/3.65 % (2322790)Instructions burned: 693 (million)
% 22.51/3.65 % (2322796)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2257338186:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 22.51/3.65 % (2322796)Cannot represent all propositional literals internally
% 22.51/3.65 % (2322796)Refutation not found, incomplete strategy
% 22.51/3.65 % (2322796)------------------------------
% 22.51/3.65 % (2322796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322796)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322796)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.65 % (2322796)Time elapsed: 0.006 s
% 22.51/3.65 % (2322796)Peak memory usage: 10 MB
% 22.51/3.65 % (2322796)Instructions burned: 13 (million)
% 22.51/3.65 % (2322796)------------------------------
% 22.51/3.65 % (2322796)------------------------------
% 22.51/3.65 % (2322798)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4270998404:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 22.51/3.65 % TRYING [8]
% 22.51/3.65 % (2322792)Instruction limit reached!
% 22.51/3.65 % (2322792)------------------------------
% 22.51/3.65 % (2322792)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322792)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322792)Termination reason: Instruction limit
% 22.51/3.65 % (2322792)Termination phase: Saturation
% 22.51/3.65 % (2322792)Time elapsed: 0.473 s
% 22.51/3.65 % (2322792)Peak memory usage: 17 MB
% 22.51/3.65 % (2322792)Instructions burned: 879 (million)
% 22.51/3.65 % (2322800)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=644551623:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 22.51/3.65 % (2322786)Instruction limit reached!
% 22.51/3.65 % (2322786)------------------------------
% 22.51/3.65 % (2322786)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322786)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322786)Termination reason: Instruction limit
% 22.51/3.65 % (2322786)Termination phase: Saturation
% 22.51/3.65 % (2322786)Time elapsed: 0.711 s
% 22.51/3.65 % (2322786)Peak memory usage: 25 MB
% 22.51/3.65 % (2322786)Instructions burned: 1179 (million)
% 22.51/3.65 % (2322802)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3518776508:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 22.51/3.65 % (2322798)Instruction limit reached!
% 22.51/3.65 % (2322798)------------------------------
% 22.51/3.65 % (2322798)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322798)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322798)Termination reason: Instruction limit
% 22.51/3.65 % (2322798)Termination phase: Finite model building constraint generation
% 22.51/3.65 % (2322798)Time elapsed: 0.281 s
% 22.51/3.65 % (2322798)Peak memory usage: 45 MB
% 22.51/3.65 % (2322798)Instructions burned: 922 (million)
% 22.51/3.65 % (2322804)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1965109710:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 22.51/3.65 % (2322804)Cannot represent all propositional literals internally
% 22.51/3.65 % (2322804)Refutation not found, incomplete strategy
% 22.51/3.65 % (2322804)------------------------------
% 22.51/3.65 % (2322804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322804)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322804)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.65 % (2322804)Time elapsed: 0.008 s
% 22.51/3.65 % (2322804)Peak memory usage: 11 MB
% 22.51/3.65 % (2322804)Instructions burned: 16 (million)
% 22.51/3.65 % (2322804)------------------------------
% 22.51/3.65 % (2322804)------------------------------
% 22.51/3.65 % (2322806)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2773630653:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 22.51/3.65 % (2322806)Cannot represent all propositional literals internally
% 22.51/3.65 % (2322806)Refutation not found, incomplete strategy
% 22.51/3.65 % (2322806)------------------------------
% 22.51/3.65 % (2322806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322806)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322806)Termination reason: Refutation not found, incomplete strategy
% 22.51/3.65 % (2322806)Time elapsed: 0.084 s
% 22.51/3.65 % (2322806)Peak memory usage: 13 MB
% 22.51/3.65 % (2322806)Instructions burned: 166 (million)
% 22.51/3.65 % (2322806)------------------------------
% 22.51/3.65 % (2322806)------------------------------
% 22.51/3.65 % (2322808)ott-2_1_sil=16000:newcnf=on:random_seed=315642503:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 22.51/3.65 % (2322808)Instruction limit reached!
% 22.51/3.65 % (2322808)------------------------------
% 22.51/3.65 % (2322808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322808)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322808)Termination reason: Instruction limit
% 22.51/3.65 % (2322808)Termination phase: Saturation
% 22.51/3.65 % (2322808)Time elapsed: 0.559 s
% 22.51/3.65 % (2322808)Peak memory usage: 17 MB
% 22.51/3.65 % (2322808)Instructions burned: 870 (million)
% 22.51/3.65 % (2322810)ott+10_1_sil=32000:tgt=ground:random_seed=2516908827:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 22.51/3.65 % (2322802)Instruction limit reached!
% 22.51/3.65 % (2322802)------------------------------
% 22.51/3.65 % (2322802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322802)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322802)Termination reason: Instruction limit
% 22.51/3.65 % (2322802)Termination phase: Saturation
% 22.51/3.65 % (2322802)Time elapsed: 0.961 s
% 22.51/3.65 % (2322802)Peak memory usage: 33 MB
% 22.51/3.65 % (2322802)Instructions burned: 1473 (million)
% 22.51/3.65 % (2322812)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1957126868:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 22.51/3.65 % TRYING [1]
% 22.51/3.65 % TRYING [2]
% 22.51/3.65 % TRYING [3]
% 22.51/3.65 % TRYING [4]
% 22.51/3.65 % (2322810) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2322755-2322810"...
% 22.51/3.65 % (2322810)...printing done.
% 22.51/3.65 % (2322810)Refutation found. Thanks to Tanya!
% 22.51/3.65 % SZS status Theorem for theBenchmark
% 22.51/3.65 % SZS output start Proof for theBenchmark
% See solution above
% 22.51/3.65 % (2322810)------------------------------
% 22.51/3.65 % (2322810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 22.51/3.65 % (2322810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.51/3.65 % (2322810)CaDiCaL version: 2.1.3
% 22.51/3.65 % (2322810)Termination reason: Refutation
% 22.51/3.65 % (2322810)Time elapsed: 1.149 s
% 22.51/3.65 % (2322810)Peak memory usage: 31 MB
% 22.51/3.65 % (2322810)Instructions burned: 1890 (million)
% 22.51/3.65 % (2322755)Success in time 3.221 s
% 22.51/3.65 % Vampire exiting
%------------------------------------------------------------------------------