%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO561+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 09:54:44 AM UTC 2026
% Result : Theorem 21.10s 3.47s
% Output : Refutation 21.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 32
% Syntax : Number of formulae : 191 ( 28 unt; 0 def)
% Number of atoms : 540 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 580 ( 231 ~; 227 |; 89 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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; 0-6 aty)
% Number of variables : 867 ( 840 !; 27 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X1)
& cong(X3,X0,X3,X2) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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/sandbox2/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/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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(f51,axiom,
! [X0,X1,X2,X3,X4] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).
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(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(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X3,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X3,X5)
& circle(X3,X0,X7,X11)
& coll(X8,X0,X2)
& coll(X8,X6,X7)
& coll(X9,X0,X1)
& coll(X9,X6,X7) )
=> eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214022) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X3,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X3,X5)
& circle(X3,X0,X7,X11)
& coll(X8,X0,X2)
& coll(X8,X6,X7)
& coll(X9,X0,X1)
& coll(X9,X6,X7) )
=> eqangle(X0,X9,X9,X8,X9,X8,X8,X0) ),
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(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
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(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(flattening,[],[f113]) ).
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(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(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
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(f168,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f169,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(flattening,[],[f168]) ).
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(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(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0)
& circle(X3,X0,X1,X2)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X3,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X3,X5)
& circle(X3,X0,X7,X11)
& coll(X8,X0,X2)
& coll(X8,X6,X7)
& coll(X9,X0,X1)
& coll(X9,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X0,X9,X9,X8,X9,X8,X8,X0)
& circle(X3,X0,X1,X2)
& perp(X4,X3,X0,X2)
& coll(X4,X0,X2)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& coll(X6,X3,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X3,X5)
& circle(X3,X0,X7,X11)
& coll(X8,X0,X2)
& coll(X8,X6,X7)
& coll(X9,X0,X1)
& coll(X9,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20)
& circle(sK23,sK20,sK21,sK22)
& perp(sK24,sK23,sK20,sK22)
& coll(sK24,sK20,sK22)
& perp(sK25,sK23,sK20,sK21)
& coll(sK25,sK20,sK21)
& coll(sK26,sK23,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK27,sK23,sK25)
& circle(sK23,sK20,sK27,sK31)
& coll(sK28,sK20,sK22)
& coll(sK28,sK26,sK27)
& coll(sK29,sK20,sK21)
& coll(sK29,sK26,sK27) ),
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(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
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(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,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(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(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(f321,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f169]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
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(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
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(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f393,plain,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ eqangle(sK20,sK29,sK29,sK28,sK29,sK28,sK28,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f432,plain,
perp(sK20,sK21,sK25,sK23),
inference(resolution,[],[f278,f393]) ).
fof(f445,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f562,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f583,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK25,sK23) ),
inference(resolution,[],[f432,f279]) ).
fof(f609,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(f628,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X2) ),
inference(resolution,[],[f291,f311]) ).
fof(f688,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X2,X1,X1,X3,X0,X2,X0,X4)
| ~ midp(X4,X2,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f321,f288]) ).
fof(f800,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f809,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f875,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X1,X1,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| cong(X4,X0,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f336,f346]) ).
fof(f956,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f292,f310]) ).
fof(f958,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X6)
| eqangle(X0,X1,X2,X3,X7,X5,X7,X6)
| ~ cyclic(X5,X6,X4,X7) ),
inference(resolution,[],[f292,f311]) ).
fof(f1033,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(f1039,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,[],[f1033]) ).
fof(f1341,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X3,X4,X0,X2)
| ~ midp(X0,X1,X2)
| cong(X3,X4,X0,X1) ),
inference(resolution,[],[f445,f295]) ).
fof(f1445,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f562,f445]) ).
fof(f1553,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f609,f309]) ).
fof(f1557,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f609,f291]) ).
fof(f3256,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X0,X3)
| cong(X0,X1,X1,X2)
| ~ para(X1,X0,X2,X3)
| ~ midp(X0,X0,X3) ),
inference(resolution,[],[f875,f339]) ).
fof(f3268,plain,
! [X2,X3,X0,X1] :
( ~ para(X1,X0,X2,X3)
| cong(X0,X1,X1,X2)
| ~ coll(X0,X1,X2)
| ~ midp(X0,X0,X3) ),
inference(forward_subsumption_resolution,[],[f3256,f340]) ).
fof(f3452,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( eqangle(X0,X1,X1,X2,X3,X4,X5,X6)
| ~ para(X5,X0,X3,X4)
| ~ midp(X6,X0,X2)
| ~ circle(X5,X1,X0,X2) ),
inference(resolution,[],[f956,f688]) ).
fof(f3466,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
| ~ cyclic(X3,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0) ),
inference(resolution,[],[f958,f628]) ).
fof(f3530,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f800,f809]) ).
fof(f3537,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3530]) ).
fof(f4982,plain,
para(sK25,sK23,sK25,sK23),
inference(resolution,[],[f583,f393]) ).
fof(f9264,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1553,f4982]) ).
fof(f10547,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X2,X0)
| ~ coll(X2,X0,X1) ),
inference(resolution,[],[f1557,f313]) ).
fof(f10548,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X2,X0)
| coll(X2,X0,X1) ),
inference(resolution,[],[f1557,f312]) ).
fof(f10565,plain,
! [X2,X0,X1] :
( cyclic(X1,X1,X2,X0)
| coll(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f10548,f9264]) ).
fof(f10566,plain,
! [X2,X0,X1] :
( cyclic(X1,X1,X2,X0)
| ~ coll(X2,X0,X1) ),
inference(forward_subsumption_resolution,[],[f10547,f9264]) ).
fof(f10567,plain,
! [X2,X0,X1] : cyclic(X1,X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10566,f10565]) ).
fof(f12793,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f10567,f287]) ).
fof(f12802,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f10567,f1039]) ).
fof(f12820,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f12802]) ).
fof(f12824,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f12820,f10567]) ).
fof(f12828,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f12793,f10567]) ).
fof(f12938,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f9264,f337]) ).
fof(f12991,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f12938,f272]) ).
fof(f13066,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f12991,f271]) ).
fof(f13135,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f13066,f273]) ).
fof(f13150,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f13135,f13066]) ).
fof(f14284,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f12824,f338]) ).
fof(f14323,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14284,f13150]) ).
fof(f18688,plain,
! [X0,X1] :
( cong(X0,X1,X1,X1)
| ~ coll(X0,X1,X1)
| ~ midp(X0,X0,X0) ),
inference(resolution,[],[f3268,f9264]) ).
fof(f18802,plain,
! [X0,X1] :
( cong(X0,X1,X1,X1)
| ~ midp(X0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f18688,f13150]) ).
fof(f18816,plain,
! [X0,X1] : cong(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[],[f18802,f14323]) ).
fof(f19378,plain,
! [X0,X1] : cong(X0,X0,X1,X0),
inference(resolution,[],[f18816,f294]) ).
fof(f20113,plain,
! [X0,X1] : cong(X0,X0,X0,X1),
inference(resolution,[],[f19378,f293]) ).
fof(f21410,plain,
! [X0,X1] :
( midp(X0,X0,X1)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f20113,f338]) ).
fof(f21493,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(forward_subsumption_resolution,[],[f21410,f13150]) ).
fof(f21521,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[],[f21493,f281]) ).
fof(f21525,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f21493,f1445]) ).
fof(f21550,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f21525,f21493]) ).
fof(f23250,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(resolution,[],[f3466,f314]) ).
fof(f23272,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(duplicate_literal_removal,[],[f23250]) ).
fof(f23277,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f23272,f12828]) ).
fof(f23288,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f23277,f12828]) ).
fof(f23299,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f23288,f12828]) ).
fof(f23300,plain,
! [X3,X0] : cong(X3,X3,X0,X0),
inference(forward_subsumption_resolution,[],[f23299,f12828]) ).
fof(f23504,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X0)
| cong(X2,X2,X0,X1) ),
inference(resolution,[],[f23300,f1341]) ).
fof(f23515,plain,
! [X2,X0,X1] : cong(X2,X2,X0,X1),
inference(forward_subsumption_resolution,[],[f23504,f21521]) ).
fof(f23606,plain,
! [X2,X0,X1] : cong(X0,X1,X2,X2),
inference(resolution,[],[f23515,f294]) ).
fof(f23751,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X0)
| cong(X2,X3,X0,X1) ),
inference(resolution,[],[f23606,f1341]) ).
fof(f23828,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f23751,f21521]) ).
fof(f23907,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| circle(X0,X1,X2,X3) ),
inference(resolution,[],[f23828,f282]) ).
fof(f23909,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f23828,f338]) ).
fof(f24039,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f23909,f13150]) ).
fof(f24040,plain,
! [X2,X3,X0,X1] : circle(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f23907,f21550]) ).
fof(f24138,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f24039,f3537]) ).
fof(f24174,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f24138,f24039]) ).
fof(f40196,plain,
( ~ para(sK28,sK20,sK29,sK28)
| ~ midp(sK20,sK20,sK28)
| ~ circle(sK28,sK29,sK20,sK28) ),
inference(resolution,[],[f3452,f397]) ).
fof(f40249,plain,
( ~ midp(sK20,sK20,sK28)
| ~ circle(sK28,sK29,sK20,sK28) ),
inference(forward_subsumption_resolution,[],[f40196,f24174]) ).
fof(f40250,plain,
~ circle(sK28,sK29,sK20,sK28),
inference(forward_subsumption_resolution,[],[f40249,f24039]) ).
fof(f40251,plain,
$false,
inference(forward_subsumption_resolution,[],[f40250,f24040]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO561+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n016.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 08:35:47 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 7.91/1.68 % (2323216)Will run a generic schedule for satisfiability detection.
% 7.91/1.68 % (2323222)% WARNING: option uhcvi not known.
% 7.91/1.68 % (2323222)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3755221739:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.91/1.68 % (2323221)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1488007911_2999 on theBenchmark for (2999ds/0Mi)
% 7.91/1.68 % (2323225)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3909186013:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.91/1.68 % (2323223)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2825047389:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.91/1.68 % (2323224)dis+10_1_sil=32000:sp=arity:random_seed=4198893774:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.91/1.68 % (2323226)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2959368179:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.91/1.68 % (2323227)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=27180241:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.91/1.68 % TRYING [1]
% 7.91/1.68 % TRYING [2]
% 7.91/1.68 % TRYING [3]
% 7.91/1.68 % (2323224)Instruction limit reached!
% 7.91/1.68 % (2323224)------------------------------
% 7.91/1.68 % (2323224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.68 % (2323224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.68 % (2323224)CaDiCaL version: 2.1.3
% 7.91/1.68 % (2323224)Termination reason: Instruction limit
% 7.91/1.68 % (2323224)Termination phase: Saturation
% 7.91/1.68 % (2323224)Time elapsed: 0.068 s
% 7.91/1.68 % (2323224)Peak memory usage: 13 MB
% 7.91/1.68 % (2323224)Instructions burned: 104 (million)
% 7.91/1.68 % (2323225)Instruction limit reached!
% 7.91/1.68 % (2323225)------------------------------
% 7.91/1.68 % (2323225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.68 % (2323225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.68 % (2323225)CaDiCaL version: 2.1.3
% 7.91/1.68 % (2323225)Termination reason: Instruction limit
% 7.91/1.68 % (2323225)Termination phase: Saturation
% 7.91/1.68 % (2323225)Time elapsed: 0.069 s
% 7.91/1.68 % (2323225)Peak memory usage: 13 MB
% 7.91/1.68 % (2323225)Instructions burned: 117 (million)
% 7.91/1.68 % (2323226)Instruction limit reached!
% 7.91/1.68 % (2323226)------------------------------
% 7.91/1.68 % (2323226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.68 % (2323226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.68 % (2323226)CaDiCaL version: 2.1.3
% 7.91/1.68 % (2323226)Termination reason: Instruction limit
% 7.91/1.68 % (2323226)Termination phase: Saturation
% 7.91/1.68 % (2323226)Time elapsed: 0.080 s
% 7.91/1.68 % (2323226)Peak memory usage: 14 MB
% 7.91/1.68 % (2323226)Instructions burned: 131 (million)
% 7.91/1.68 % (2323235)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2441090879:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.91/1.68 % (2323236)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2406723054:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.91/1.68 % (2323227)Instruction limit reached!
% 7.91/1.68 % (2323227)------------------------------
% 7.91/1.68 % (2323227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.68 % (2323227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.68 % (2323227)CaDiCaL version: 2.1.3
% 7.91/1.68 % (2323227)Termination reason: Instruction limit
% 7.91/1.68 % (2323227)Termination phase: Saturation
% 7.91/1.68 % (2323227)Time elapsed: 0.097 s
% 7.91/1.68 % (2323227)Peak memory usage: 15 MB
% 7.91/1.68 % (2323227)Instructions burned: 160 (million)
% 7.91/1.68 % TRYING [1]
% 7.91/1.68 % (2323237)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=2809245873:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.91/1.68 % TRYING [2]
% 7.91/1.68 % (2323240)ott-21_1_sil=16000:fs=off:random_seed=2928330940:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.91/1.68 % TRYING [3]
% 7.91/1.68 % (2323236)Instruction limit reached!
% 7.91/1.68 % (2323236)------------------------------
% 7.91/1.68 % (2323236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.68 % (2323236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323236)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323236)Termination reason: Instruction limit
% 21.10/3.47 % (2323236)Termination phase: Saturation
% 21.10/3.47 % (2323236)Time elapsed: 0.080 s
% 21.10/3.47 % (2323236)Peak memory usage: 14 MB
% 21.10/3.47 % (2323236)Instructions burned: 131 (million)
% 21.10/3.47 % (2323243)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=547044211:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.10/3.47 % (2323240)Instruction limit reached!
% 21.10/3.47 % (2323240)------------------------------
% 21.10/3.47 % (2323240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323240)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323240)Termination reason: Instruction limit
% 21.10/3.47 % (2323240)Termination phase: Saturation
% 21.10/3.47 % (2323240)Time elapsed: 0.094 s
% 21.10/3.47 % (2323240)Peak memory usage: 13 MB
% 21.10/3.47 % (2323240)Instructions burned: 182 (million)
% 21.10/3.47 % (2323245)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1305950260:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.10/3.47 % TRYING [1]
% 21.10/3.47 % TRYING [2]
% 21.10/3.47 % TRYING [3]
% 21.10/3.47 % (2323235)Instruction limit reached!
% 21.10/3.47 % (2323235)------------------------------
% 21.10/3.47 % (2323235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323235)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323235)Termination reason: Instruction limit
% 21.10/3.47 % (2323235)Termination phase: Finite model building constraint generation
% 21.10/3.47 % (2323235)Time elapsed: 0.248 s
% 21.10/3.47 % (2323235)Peak memory usage: 24 MB
% 21.10/3.47 % (2323235)Instructions burned: 715 (million)
% 21.10/3.47 % (2323247)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1897340749:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.10/3.47 % (2323243)Instruction limit reached!
% 21.10/3.47 % (2323243)------------------------------
% 21.10/3.47 % (2323243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323243)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323243)Termination reason: Instruction limit
% 21.10/3.47 % (2323243)Termination phase: Saturation
% 21.10/3.47 % (2323243)Time elapsed: 0.285 s
% 21.10/3.47 % (2323243)Peak memory usage: 15 MB
% 21.10/3.47 % (2323243)Instructions burned: 478 (million)
% 21.10/3.47 % (2323249)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=738515353:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.10/3.47 % (2323237)Instruction limit reached!
% 21.10/3.47 % (2323237)------------------------------
% 21.10/3.47 % (2323237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323237)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323237)Termination reason: Instruction limit
% 21.10/3.47 % (2323237)Termination phase: Saturation
% 21.10/3.47 % (2323237)Time elapsed: 0.400 s
% 21.10/3.47 % (2323237)Peak memory usage: 20 MB
% 21.10/3.47 % (2323237)Instructions burned: 685 (million)
% 21.10/3.47 % (2323249)Cannot represent all propositional literals internally
% 21.10/3.47 % (2323249)Refutation not found, incomplete strategy
% 21.10/3.47 % (2323249)------------------------------
% 21.10/3.47 % (2323249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323249)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323249)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.47 % (2323249)Time elapsed: 0.006 s
% 21.10/3.47 % (2323249)Peak memory usage: 10 MB
% 21.10/3.47 % (2323249)Instructions burned: 13 (million)
% 21.10/3.47 % (2323249)------------------------------
% 21.10/3.47 % (2323249)------------------------------
% 21.10/3.47 % (2323251)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=2067019390: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)
% 21.10/3.47 % (2323252)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4229585839:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.10/3.47 % (2323245)Instruction limit reached!
% 21.10/3.47 % (2323245)------------------------------
% 21.10/3.47 % (2323245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323245)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323245)Termination reason: Instruction limit
% 21.10/3.47 % (2323245)Termination phase: Finite model building constraint generation
% 21.10/3.47 % (2323245)Time elapsed: 0.300 s
% 21.10/3.47 % (2323245)Peak memory usage: 50 MB
% 21.10/3.47 % (2323245)Instructions burned: 865 (million)
% 21.10/3.47 % (2323255)fmb+10_1_sil=64000:random_seed=1533272037:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 21.10/3.47 % TRYING [1]
% 21.10/3.47 % TRYING [2]
% 21.10/3.47 % TRYING [3]
% 21.10/3.47 % (2323251)Instruction limit reached!
% 21.10/3.47 % (2323251)------------------------------
% 21.10/3.47 % (2323251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323251)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323251)Termination reason: Instruction limit
% 21.10/3.47 % (2323251)Termination phase: Saturation
% 21.10/3.47 % (2323251)Time elapsed: 0.338 s
% 21.10/3.47 % (2323251)Peak memory usage: 20 MB
% 21.10/3.47 % (2323251)Instructions burned: 692 (million)
% 21.10/3.47 % (2323257)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2291008967:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 21.10/3.47 % (2323257)Cannot represent all propositional literals internally
% 21.10/3.47 % (2323257)Refutation not found, incomplete strategy
% 21.10/3.47 % (2323257)------------------------------
% 21.10/3.47 % (2323257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323257)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323257)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.47 % (2323257)Time elapsed: 0.006 s
% 21.10/3.47 % (2323257)Peak memory usage: 10 MB
% 21.10/3.47 % (2323257)Instructions burned: 13 (million)
% 21.10/3.47 % (2323257)------------------------------
% 21.10/3.47 % (2323257)------------------------------
% 21.10/3.47 % (2323259)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1000972900:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 21.10/3.47 % TRYING [8]
% 21.10/3.47 % (2323252)Instruction limit reached!
% 21.10/3.47 % (2323252)------------------------------
% 21.10/3.47 % (2323252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323252)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323252)Termination reason: Instruction limit
% 21.10/3.47 % (2323252)Termination phase: Saturation
% 21.10/3.47 % (2323252)Time elapsed: 0.479 s
% 21.10/3.47 % (2323252)Peak memory usage: 18 MB
% 21.10/3.47 % (2323252)Instructions burned: 880 (million)
% 21.10/3.47 % (2323261)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1440760117:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.10/3.47 % (2323247)Instruction limit reached!
% 21.10/3.47 % (2323247)------------------------------
% 21.10/3.47 % (2323247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323247)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323247)Termination reason: Instruction limit
% 21.10/3.47 % (2323247)Termination phase: Saturation
% 21.10/3.47 % (2323247)Time elapsed: 0.721 s
% 21.10/3.47 % (2323247)Peak memory usage: 23 MB
% 21.10/3.47 % (2323247)Instructions burned: 1179 (million)
% 21.10/3.47 % (2323263)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=745840696:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 21.10/3.47 % (2323259)Instruction limit reached!
% 21.10/3.47 % (2323259)------------------------------
% 21.10/3.47 % (2323259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323259)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323259)Termination reason: Instruction limit
% 21.10/3.47 % (2323259)Termination phase: Finite model building constraint generation
% 21.10/3.47 % (2323259)Time elapsed: 0.291 s
% 21.10/3.47 % (2323259)Peak memory usage: 46 MB
% 21.10/3.47 % (2323259)Instructions burned: 922 (million)
% 21.10/3.47 % (2323265)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=205885579:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 21.10/3.47 % (2323265)Cannot represent all propositional literals internally
% 21.10/3.47 % (2323265)Refutation not found, incomplete strategy
% 21.10/3.47 % (2323265)------------------------------
% 21.10/3.47 % (2323265)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323265)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323265)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.47 % (2323265)Time elapsed: 0.008 s
% 21.10/3.47 % (2323265)Peak memory usage: 11 MB
% 21.10/3.47 % (2323265)Instructions burned: 16 (million)
% 21.10/3.47 % (2323265)------------------------------
% 21.10/3.47 % (2323265)------------------------------
% 21.10/3.47 % (2323267)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3613802483:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 21.10/3.47 % (2323267)Cannot represent all propositional literals internally
% 21.10/3.47 % (2323267)Refutation not found, incomplete strategy
% 21.10/3.47 % (2323267)------------------------------
% 21.10/3.47 % (2323267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323267)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323267)Termination reason: Refutation not found, incomplete strategy
% 21.10/3.47 % (2323267)Time elapsed: 0.082 s
% 21.10/3.47 % (2323267)Peak memory usage: 13 MB
% 21.10/3.47 % (2323267)Instructions burned: 166 (million)
% 21.10/3.47 % (2323267)------------------------------
% 21.10/3.47 % (2323267)------------------------------
% 21.10/3.47 % (2323269)ott-2_1_sil=16000:newcnf=on:random_seed=1844243685:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 21.10/3.47 % (2323269)Instruction limit reached!
% 21.10/3.47 % (2323269)------------------------------
% 21.10/3.47 % (2323269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323269)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323269)Termination reason: Instruction limit
% 21.10/3.47 % (2323269)Termination phase: Saturation
% 21.10/3.47 % (2323269)Time elapsed: 0.533 s
% 21.10/3.47 % (2323269)Peak memory usage: 17 MB
% 21.10/3.47 % (2323269)Instructions burned: 870 (million)
% 21.10/3.47 % (2323271)ott+10_1_sil=32000:tgt=ground:random_seed=4284722374:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 21.10/3.47 % (2323263)Instruction limit reached!
% 21.10/3.47 % (2323263)------------------------------
% 21.10/3.47 % (2323263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323263)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323263)Termination reason: Instruction limit
% 21.10/3.47 % (2323263)Termination phase: Saturation
% 21.10/3.47 % (2323263)Time elapsed: 0.943 s
% 21.10/3.47 % (2323263)Peak memory usage: 33 MB
% 21.10/3.47 % (2323263)Instructions burned: 1473 (million)
% 21.10/3.47 % (2323273)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3657033351:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 21.10/3.47 % TRYING [1]
% 21.10/3.47 % TRYING [2]
% 21.10/3.47 % TRYING [3]
% 21.10/3.47 % TRYING [4]
% 21.10/3.47 % (2323271) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2323216-2323271"...
% 21.10/3.47 % (2323271)...printing done.
% 21.10/3.47 % (2323271)Refutation found. Thanks to Tanya!
% 21.10/3.47 % SZS status Theorem for theBenchmark
% 21.10/3.47 % SZS output start Proof for theBenchmark
% See solution above
% 21.10/3.47 % (2323271)------------------------------
% 21.10/3.47 % (2323271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.10/3.47 % (2323271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.10/3.47 % (2323271)CaDiCaL version: 2.1.3
% 21.10/3.47 % (2323271)Termination reason: Refutation
% 21.10/3.47 % (2323271)Time elapsed: 1.063 s
% 21.10/3.47 % (2323271)Peak memory usage: 29 MB
% 21.10/3.47 % (2323271)Instructions burned: 1716 (million)
% 21.10/3.47 % (2323216)Success in time 3.047 s
% 21.10/3.47 % Vampire exiting
%------------------------------------------------------------------------------