%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO577+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:46 AM UTC 2026
% Result : Theorem 23.74s 3.86s
% Output : Refutation 23.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 38
% Syntax : Number of formulae : 263 ( 59 unt; 0 def)
% Number of atoms : 638 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 647 ( 272 ~; 276 |; 60 &)
% ( 0 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 924 ( 906 !; 18 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f52,axiom,
! [X0,X1,X2,X3,X4] :
( ( circle(X3,X0,X1,X2)
& coll(X4,X1,X2)
& eqangle(X0,X1,X0,X2,X3,X1,X3,X4) )
=> midp(X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( circle(X3,X0,X1,X2)
& coll(X3,X0,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( midp(X2,X0,X1)
& perp(X3,X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(f73,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
& ~ perp(X0,X1,X2,X3) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD72) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& para(X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& perp(X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& circle(X4,X0,X1,X2)
& circle(X4,X2,X5,X7)
& coll(X5,X2,X3)
& perp(X1,X3,X1,X6)
& circle(X4,X0,X6,X8) )
=> para(X5,X6,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214039) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& circle(X4,X0,X1,X2)
& circle(X4,X2,X5,X7)
& coll(X5,X2,X3)
& perp(X1,X3,X1,X6)
& circle(X4,X0,X6,X8) )
=> para(X5,X6,X0,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(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(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(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
fof(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f170,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(ennf_transformation,[],[f52]) ).
fof(f171,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X4,X1,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(flattening,[],[f170]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(flattening,[],[f178]) ).
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(f206,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f73]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X5,X6,X0,X3)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& circle(X4,X0,X1,X2)
& circle(X4,X2,X5,X7)
& coll(X5,X2,X3)
& perp(X1,X3,X1,X6)
& circle(X4,X0,X6,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X5,X6,X0,X3)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& circle(X4,X0,X1,X2)
& circle(X4,X2,X5,X7)
& coll(X5,X2,X3)
& perp(X1,X3,X1,X6)
& circle(X4,X0,X6,X8) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK25,sK26,sK20,sK23)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& circle(sK24,sK20,sK21,sK22)
& circle(sK24,sK22,sK25,sK27)
& coll(sK25,sK22,sK23)
& perp(sK21,sK23,sK21,sK26)
& circle(sK24,sK20,sK26,sK28) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f322,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X4,X1,X2)
| midp(X4,X1,X2) ),
inference(cnf_transformation,[],[f171]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
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(f343,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f207]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f211]) ).
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(f385,plain,
perp(sK21,sK23,sK21,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK24,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ para(sK25,sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f405,plain,
perp(sK21,sK23,sK26,sK21),
inference(resolution,[],[f277,f385]) ).
fof(f406,plain,
perp(sK21,sK26,sK21,sK23),
inference(resolution,[],[f278,f385]) ).
fof(f407,plain,
perp(sK26,sK21,sK21,sK23),
inference(resolution,[],[f405,f278]) ).
fof(f410,plain,
perp(sK21,sK26,sK23,sK21),
inference(resolution,[],[f406,f277]) ).
fof(f413,plain,
perp(sK23,sK21,sK21,sK26),
inference(resolution,[],[f410,f278]) ).
fof(f478,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK24,sK20,sK22) ),
inference(resolution,[],[f324,f388]) ).
fof(f483,plain,
( cong(sK21,sK21,sK21,sK26)
| ~ midp(sK23,sK21,sK26) ),
inference(resolution,[],[f326,f385]) ).
fof(f489,plain,
( cong(sK23,sK21,sK23,sK26)
| ~ midp(sK21,sK21,sK26) ),
inference(resolution,[],[f326,f413]) ).
fof(f507,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK21,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f578,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f288,f310]) ).
fof(f579,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f288,f311]) ).
fof(f587,plain,
eqangle(sK21,sK22,sK23,sK21,sK21,sK20,sK23,sK21),
inference(resolution,[],[f289,f390]) ).
fof(f589,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(f609,plain,
eqangle(sK23,sK21,sK23,sK21,sK21,sK22,sK21,sK20),
inference(resolution,[],[f291,f390]) ).
fof(f611,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(f737,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(resolution,[],[f478,f278]) ).
fof(f760,plain,
! [X0] :
( ~ cong(sK21,sK21,sK21,X0)
| ~ midp(sK23,sK21,sK26)
| circle(sK21,sK21,X0,sK26) ),
inference(resolution,[],[f483,f282]) ).
fof(f783,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X1,X1,X1)
| para(X0,X1,X1,X1) ),
inference(resolution,[],[f343,f317]) ).
fof(f936,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(f1022,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(f1024,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X5,X6)
| eqangle(X0,X1,X2,X3,X5,X6,X4,X6)
| ~ cong(X4,X5,X4,X6) ),
inference(resolution,[],[f292,f317]) ).
fof(f1131,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(f1137,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,[],[f1131]) ).
fof(f1184,plain,
para(sK21,sK22,sK21,sK20),
inference(resolution,[],[f587,f309]) ).
fof(f1262,plain,
( para(sK23,sK21,sK23,sK21)
| ~ para(sK21,sK22,sK21,sK20) ),
inference(resolution,[],[f609,f344]) ).
fof(f1263,plain,
( ~ perp(sK21,sK22,sK21,sK20)
| perp(sK23,sK21,sK23,sK21) ),
inference(resolution,[],[f609,f345]) ).
fof(f1265,plain,
para(sK23,sK21,sK23,sK21),
inference(forward_subsumption_resolution,[],[f1262,f1184]) ).
fof(f1285,plain,
para(sK21,sK26,sK21,sK26),
inference(resolution,[],[f507,f406]) ).
fof(f1286,plain,
para(sK26,sK21,sK21,sK26),
inference(resolution,[],[f507,f407]) ).
fof(f1635,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f578,f309]) ).
fof(f1725,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f589,f309]) ).
fof(f1744,plain,
! [X2,X3,X0,X1] :
( ~ circle(X0,X0,X3,X1)
| ~ para(X0,X1,X0,X2)
| ~ coll(X2,X3,X1)
| midp(X2,X3,X1) ),
inference(resolution,[],[f589,f322]) ).
fof(f1911,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X4,X5,X4,X5)
| perp(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f611,f345]) ).
fof(f1917,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f611,f313]) ).
fof(f1918,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f611,f312]) ).
fof(f1928,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1917,f1918]) ).
fof(f1991,plain,
coll(sK23,sK21,sK21),
inference(resolution,[],[f1265,f337]) ).
fof(f2001,plain,
coll(sK21,sK23,sK21),
inference(resolution,[],[f1991,f272]) ).
fof(f2007,plain,
coll(sK21,sK21,sK23),
inference(resolution,[],[f2001,f271]) ).
fof(f2008,plain,
! [X0] :
( ~ coll(sK21,sK21,X0)
| coll(X0,sK23,sK21) ),
inference(resolution,[],[f2007,f273]) ).
fof(f2039,plain,
coll(sK21,sK26,sK26),
inference(resolution,[],[f1285,f337]) ).
fof(f2054,plain,
coll(sK26,sK21,sK26),
inference(resolution,[],[f2039,f272]) ).
fof(f2083,plain,
! [X0] :
( ~ coll(sK26,sK21,X0)
| coll(X0,sK26,sK26) ),
inference(resolution,[],[f2054,f273]) ).
fof(f2144,plain,
para(sK26,sK21,sK26,sK21),
inference(resolution,[],[f1286,f274]) ).
fof(f2275,plain,
coll(sK26,sK21,sK21),
inference(resolution,[],[f2144,f337]) ).
fof(f2288,plain,
coll(sK21,sK26,sK21),
inference(resolution,[],[f2275,f272]) ).
fof(f2298,plain,
coll(sK21,sK21,sK26),
inference(resolution,[],[f2288,f271]) ).
fof(f2750,plain,
coll(sK26,sK26,sK26),
inference(resolution,[],[f2083,f2054]) ).
fof(f3172,plain,
coll(sK26,sK23,sK21),
inference(resolution,[],[f2008,f2298]) ).
fof(f3184,plain,
coll(sK23,sK26,sK21),
inference(resolution,[],[f3172,f272]) ).
fof(f3191,plain,
coll(sK23,sK21,sK26),
inference(resolution,[],[f3184,f271]) ).
fof(f3670,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,[],[f936,f339]) ).
fof(f3684,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,[],[f3670,f340]) ).
fof(f3972,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X1,X4,X5)
| ~ cyclic(X1,X5,X0,X4)
| ~ para(X2,X3,X0,X5) ),
inference(resolution,[],[f1022,f589]) ).
fof(f4009,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X2,X3,X1,X4,X0,X4)
| ~ cong(X0,X1,X0,X4)
| ~ para(X2,X3,X1,X4) ),
inference(resolution,[],[f1024,f589]) ).
fof(f4024,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X1,X2,X0,X2,X0,X2)
| ~ cong(X0,X0,X0,X2)
| ~ cyclic(X0,X2,X1,X0) ),
inference(resolution,[],[f1024,f579]) ).
fof(f5809,plain,
( perp(sK21,sK22,sK21,sK20)
| ~ coll(sK24,sK20,sK22) ),
inference(resolution,[],[f737,f277]) ).
fof(f9540,plain,
( perp(sK23,sK21,sK23,sK21)
| ~ coll(sK24,sK20,sK22) ),
inference(resolution,[],[f5809,f1263]) ).
fof(f11954,plain,
( ~ midp(sK21,sK21,sK26)
| midp(sK23,sK21,sK26)
| ~ coll(sK23,sK21,sK26) ),
inference(resolution,[],[f489,f338]) ).
fof(f11971,plain,
( ~ midp(sK21,sK21,sK26)
| midp(sK23,sK21,sK26) ),
inference(forward_subsumption_resolution,[],[f11954,f3191]) ).
fof(f14402,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1725,f2144]) ).
fof(f14405,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f14402,f337]) ).
fof(f14414,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f14402,f274]) ).
fof(f14447,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f14405,f272]) ).
fof(f14702,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f14447,f271]) ).
fof(f14934,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1928,f14402]) ).
fof(f14942,plain,
! [X0] : cyclic(sK26,sK26,sK21,X0),
inference(resolution,[],[f1928,f1285]) ).
fof(f14952,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14702,f273]) ).
fof(f14997,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14952,f14702]) ).
fof(f18014,plain,
! [X0,X1] :
( ~ cyclic(sK26,sK26,sK21,X0)
| cyclic(sK26,sK21,X0,X1) ),
inference(resolution,[],[f14942,f287]) ).
fof(f18023,plain,
( ~ cyclic(sK26,sK26,sK21,sK26)
| ~ cyclic(sK26,sK26,sK21,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(resolution,[],[f14942,f1137]) ).
fof(f18029,plain,
( ~ cyclic(sK26,sK26,sK21,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(duplicate_literal_removal,[],[f18023]) ).
fof(f18030,plain,
cong(sK26,sK26,sK26,sK26),
inference(forward_subsumption_resolution,[],[f18029,f14934]) ).
fof(f18034,plain,
! [X0,X1] : cyclic(sK26,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f18014,f14934]) ).
fof(f18352,plain,
( midp(sK26,sK26,sK26)
| ~ coll(sK26,sK26,sK26) ),
inference(resolution,[],[f18030,f338]) ).
fof(f18379,plain,
midp(sK26,sK26,sK26),
inference(forward_subsumption_resolution,[],[f18352,f2750]) ).
fof(f19064,plain,
! [X2,X0,X1] :
( ~ cyclic(sK26,sK21,X0,X1)
| cyclic(sK21,X0,X1,X2) ),
inference(resolution,[],[f18034,f287]) ).
fof(f19086,plain,
! [X2,X0,X1] : cyclic(sK21,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f19064,f18034]) ).
fof(f21891,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(sK24,sK20,sK22) ),
inference(resolution,[],[f1911,f9540]) ).
fof(f21892,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[],[f21891,f14997]) ).
fof(f22692,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK21,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f19086,f287]) ).
fof(f22724,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f22692,f19086]) ).
fof(f23827,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f14934,f1137]) ).
fof(f23848,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f23827]) ).
fof(f23852,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f23848,f22724]) ).
fof(f25412,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f23852,f338]) ).
fof(f25433,plain,
! [X0] :
( perp(X0,X0,X0,X0)
| para(X0,X0,X0,X0) ),
inference(resolution,[],[f23852,f783]) ).
fof(f25450,plain,
! [X0] : perp(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f25433,f21892]) ).
fof(f25451,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f25412,f14997]) ).
fof(f27679,plain,
! [X2,X0,X1] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X2,X2) ),
inference(resolution,[],[f25450,f279]) ).
fof(f29759,plain,
( cong(sK26,sK21,sK21,sK21)
| ~ coll(sK26,sK21,sK21)
| ~ midp(sK26,sK26,sK26) ),
inference(resolution,[],[f3684,f1285]) ).
fof(f29829,plain,
( cong(sK26,sK21,sK21,sK21)
| ~ midp(sK26,sK26,sK26) ),
inference(forward_subsumption_resolution,[],[f29759,f2275]) ).
fof(f29891,plain,
cong(sK26,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f29829,f18379]) ).
fof(f30115,plain,
cong(sK21,sK21,sK26,sK21),
inference(resolution,[],[f29891,f294]) ).
fof(f30494,plain,
cong(sK21,sK21,sK21,sK26),
inference(resolution,[],[f30115,f293]) ).
fof(f31263,plain,
( midp(sK21,sK21,sK26)
| ~ coll(sK21,sK21,sK26) ),
inference(resolution,[],[f30494,f338]) ).
fof(f31306,plain,
midp(sK21,sK21,sK26),
inference(forward_subsumption_resolution,[],[f31263,f2298]) ).
fof(f31321,plain,
midp(sK23,sK21,sK26),
inference(resolution,[],[f31306,f11971]) ).
fof(f34844,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| ~ cyclic(X0,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X3)
| cong(X0,X4,X0,X1) ),
inference(resolution,[],[f3972,f314]) ).
fof(f34858,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| ~ cyclic(X0,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f34844,f22724]) ).
fof(f34876,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f34858,f22724]) ).
fof(f34878,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f34876,f22724]) ).
fof(f34879,plain,
! [X2,X0,X1,X4] :
( ~ para(X2,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f34878,f22724]) ).
fof(f35993,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| ~ para(X1,X1,X1,X1)
| para(X0,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(resolution,[],[f4009,f343]) ).
fof(f36057,plain,
! [X0,X1] :
( ~ para(X1,X1,X1,X1)
| para(X0,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f35993,f34879]) ).
fof(f36061,plain,
! [X0,X1] :
( ~ para(X1,X1,X1,X1)
| para(X0,X1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f36057,f27679]) ).
fof(f36062,plain,
! [X0,X1] : para(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[],[f36061,f14414]) ).
fof(f36084,plain,
! [X0,X1] : para(X0,X0,X1,X0),
inference(resolution,[],[f36062,f275]) ).
fof(f36199,plain,
! [X0,X1] :
( cong(X0,X0,X0,X1)
| ~ coll(X0,X0,X1)
| ~ midp(X0,X0,X0) ),
inference(resolution,[],[f36084,f3684]) ).
fof(f36218,plain,
! [X0,X1] :
( cong(X0,X0,X0,X1)
| ~ midp(X0,X0,X0) ),
inference(forward_subsumption_resolution,[],[f36199,f14997]) ).
fof(f36222,plain,
! [X0,X1] : cong(X0,X0,X0,X1),
inference(forward_subsumption_resolution,[],[f36218,f25451]) ).
fof(f36561,plain,
! [X2,X0,X1] :
( ~ cong(X0,X0,X0,X1)
| ~ cyclic(X0,X1,X2,X0)
| para(X0,X2,X2,X1)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[],[f4024,f344]) ).
fof(f36604,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| para(X0,X2,X2,X1)
| ~ para(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f36561,f36222]) ).
fof(f36618,plain,
! [X2,X0,X1] :
( para(X0,X2,X2,X1)
| ~ para(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f36604,f22724]) ).
fof(f36626,plain,
! [X2,X0,X1] : para(X0,X2,X2,X1),
inference(forward_subsumption_resolution,[],[f36618,f14402]) ).
fof(f36653,plain,
! [X2,X0,X1] : para(X0,X1,X0,X2),
inference(resolution,[],[f36626,f1635]) ).
fof(f37650,plain,
! [X0] :
( ~ midp(sK23,sK21,sK26)
| circle(sK21,sK21,X0,sK26) ),
inference(resolution,[],[f36222,f760]) ).
fof(f37651,plain,
! [X0] : circle(sK21,sK21,X0,sK26),
inference(forward_subsumption_resolution,[],[f37650,f31321]) ).
fof(f41040,plain,
! [X0,X1] :
( ~ para(sK21,sK26,sK21,X0)
| ~ coll(X0,X1,sK26)
| midp(X0,X1,sK26) ),
inference(resolution,[],[f37651,f1744]) ).
fof(f41082,plain,
! [X0,X1] :
( ~ coll(X0,X1,sK26)
| midp(X0,X1,sK26) ),
inference(forward_subsumption_resolution,[],[f41040,f36653]) ).
fof(f41083,plain,
! [X0,X1] : midp(X0,X1,sK26),
inference(forward_subsumption_resolution,[],[f41082,f14997]) ).
fof(f41188,plain,
! [X0,X1] : midp(X0,sK26,X1),
inference(resolution,[],[f41083,f281]) ).
fof(f41321,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK26,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f41188,f315]) ).
fof(f41351,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f41321,f41188]) ).
fof(f54577,plain,
$false,
inference(resolution,[],[f41351,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO577+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n015.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 08:36:45 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 6.65/1.46 % (1350182)Will run a generic schedule for satisfiability detection.
% 6.65/1.46 % (1350190)dis+10_1_sil=32000:sp=arity:random_seed=1385068787:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.65/1.46 % (1350188)% WARNING: option uhcvi not known.
% 6.65/1.46 % (1350187)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2441953669_2999 on theBenchmark for (2999ds/0Mi)
% 6.65/1.46 % (1350188)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3291247518:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.65/1.46 % (1350189)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2505141667:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.65/1.46 % (1350191)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3929237368:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.65/1.46 % (1350192)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4263822192:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.65/1.46 % (1350193)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4258754812:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.65/1.46 % TRYING [1]
% 6.65/1.46 % TRYING [2]
% 6.65/1.46 % (1350190)Instruction limit reached!
% 6.65/1.46 % (1350190)------------------------------
% 6.65/1.46 % (1350190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.46 % (1350190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.46 % (1350190)CaDiCaL version: 2.1.3
% 6.65/1.46 % (1350190)Termination reason: Instruction limit
% 6.65/1.46 % (1350190)Termination phase: Saturation
% 6.65/1.46 % (1350190)Time elapsed: 0.037 s
% 6.65/1.46 % (1350190)Peak memory usage: 13 MB
% 6.65/1.46 % (1350190)Instructions burned: 105 (million)
% 6.65/1.46 % TRYING [3]
% 6.65/1.46 % (1350201)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3177901312:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.65/1.46 % TRYING [1]
% 6.65/1.46 % TRYING [2]
% 6.65/1.46 % (1350191)Instruction limit reached!
% 6.65/1.46 % (1350191)------------------------------
% 6.65/1.46 % (1350191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.46 % (1350191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.46 % (1350191)CaDiCaL version: 2.1.3
% 6.65/1.46 % (1350191)Termination reason: Instruction limit
% 6.65/1.46 % (1350191)Termination phase: Saturation
% 6.65/1.46 % (1350191)Time elapsed: 0.067 s
% 6.65/1.46 % (1350191)Peak memory usage: 13 MB
% 6.65/1.46 % (1350191)Instructions burned: 116 (million)
% 6.65/1.46 % TRYING [3]
% 6.65/1.46 % (1350192)Instruction limit reached!
% 6.65/1.46 % (1350192)------------------------------
% 6.65/1.46 % (1350192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.46 % (1350192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.46 % (1350192)CaDiCaL version: 2.1.3
% 6.65/1.46 % (1350192)Termination reason: Instruction limit
% 6.65/1.46 % (1350192)Termination phase: Saturation
% 6.65/1.46 % (1350192)Time elapsed: 0.082 s
% 6.65/1.46 % (1350192)Peak memory usage: 14 MB
% 6.65/1.46 % (1350192)Instructions burned: 131 (million)
% 6.65/1.46 % (1350203)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=588582604:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.65/1.46 % (1350193)Instruction limit reached!
% 6.65/1.46 % (1350193)------------------------------
% 6.65/1.46 % (1350193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.46 % (1350193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.65/1.46 % (1350193)CaDiCaL version: 2.1.3
% 6.65/1.46 % (1350193)Termination reason: Instruction limit
% 6.65/1.46 % (1350193)Termination phase: Saturation
% 6.65/1.46 % (1350193)Time elapsed: 0.088 s
% 6.65/1.46 % (1350193)Peak memory usage: 13 MB
% 6.65/1.46 % (1350193)Instructions burned: 160 (million)
% 6.65/1.46 % (1350204)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=2176556144:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.65/1.46 % (1350206)ott-21_1_sil=16000:fs=off:random_seed=2269360774:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.65/1.46 % (1350203)Instruction limit reached!
% 6.65/1.46 % (1350203)------------------------------
% 6.65/1.46 % (1350203)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.65/1.46 % (1350203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350203)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350203)Termination reason: Instruction limit
% 23.74/3.86 % (1350203)Termination phase: Saturation
% 23.74/3.86 % (1350203)Time elapsed: 0.084 s
% 23.74/3.86 % (1350203)Peak memory usage: 15 MB
% 23.74/3.86 % (1350203)Instructions burned: 132 (million)
% 23.74/3.86 % (1350201)Instruction limit reached!
% 23.74/3.86 % (1350201)------------------------------
% 23.74/3.86 % (1350201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350201)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350201)Termination reason: Instruction limit
% 23.74/3.86 % (1350201)Termination phase: Finite model building constraint generation
% 23.74/3.86 % (1350201)Time elapsed: 0.134 s
% 23.74/3.86 % (1350201)Peak memory usage: 24 MB
% 23.74/3.86 % (1350201)Instructions burned: 717 (million)
% 23.74/3.86 % (1350210)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3059022296:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 23.74/3.86 % TRYING [1]
% 23.74/3.86 % TRYING [2]
% 23.74/3.86 % (1350209)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1662100199:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 23.74/3.86 % (1350206)Instruction limit reached!
% 23.74/3.86 % (1350206)------------------------------
% 23.74/3.86 % (1350206)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350206)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350206)Termination reason: Instruction limit
% 23.74/3.86 % (1350206)Termination phase: Saturation
% 23.74/3.86 % (1350206)Time elapsed: 0.094 s
% 23.74/3.86 % (1350206)Peak memory usage: 13 MB
% 23.74/3.86 % (1350206)Instructions burned: 180 (million)
% 23.74/3.86 % (1350213)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4114943742:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 23.74/3.86 % TRYING [3]
% 23.74/3.86 % (1350210)Instruction limit reached!
% 23.74/3.86 % (1350210)------------------------------
% 23.74/3.86 % (1350210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350210)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350210)Termination reason: Instruction limit
% 23.74/3.86 % (1350210)Termination phase: Finite model building constraint generation
% 23.74/3.86 % (1350210)Time elapsed: 0.163 s
% 23.74/3.86 % (1350210)Peak memory usage: 50 MB
% 23.74/3.86 % (1350210)Instructions burned: 868 (million)
% 23.74/3.86 % (1350215)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1912150758:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 23.74/3.86 % (1350215)Cannot represent all propositional literals internally
% 23.74/3.86 % (1350215)Refutation not found, incomplete strategy
% 23.74/3.86 % (1350215)------------------------------
% 23.74/3.86 % (1350215)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350215)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350215)Termination reason: Refutation not found, incomplete strategy
% 23.74/3.86 % (1350215)Time elapsed: 0.003 s
% 23.74/3.86 % (1350215)Peak memory usage: 10 MB
% 23.74/3.86 % (1350215)Instructions burned: 13 (million)
% 23.74/3.86 % (1350215)------------------------------
% 23.74/3.86 % (1350215)------------------------------
% 23.74/3.86 % (1350217)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=3333935000: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)
% 23.74/3.86 % (1350209)Instruction limit reached!
% 23.74/3.86 % (1350209)------------------------------
% 23.74/3.86 % (1350209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350209)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350209)Termination reason: Instruction limit
% 23.74/3.86 % (1350209)Termination phase: Saturation
% 23.74/3.86 % (1350209)Time elapsed: 0.269 s
% 23.74/3.86 % (1350209)Peak memory usage: 14 MB
% 23.74/3.86 % (1350209)Instructions burned: 478 (million)
% 23.74/3.86 % (1350219)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=245369745:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 23.74/3.86 % (1350204)Instruction limit reached!
% 23.74/3.86 % (1350204)------------------------------
% 23.74/3.86 % (1350204)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350204)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350204)Termination reason: Instruction limit
% 23.74/3.86 % (1350204)Termination phase: Saturation
% 23.74/3.86 % (1350204)Time elapsed: 0.389 s
% 23.74/3.86 % (1350204)Peak memory usage: 20 MB
% 23.74/3.86 % (1350204)Instructions burned: 685 (million)
% 23.74/3.86 % (1350221)fmb+10_1_sil=64000:random_seed=1254472288:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 23.74/3.86 % TRYING [1]
% 23.74/3.86 % TRYING [2]
% 23.74/3.86 % (1350217)Instruction limit reached!
% 23.74/3.86 % (1350217)------------------------------
% 23.74/3.86 % (1350217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350217)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350217)Termination reason: Instruction limit
% 23.74/3.86 % (1350217)Termination phase: Saturation
% 23.74/3.86 % (1350217)Time elapsed: 0.213 s
% 23.74/3.86 % (1350217)Peak memory usage: 20 MB
% 23.74/3.86 % (1350217)Instructions burned: 693 (million)
% 23.74/3.86 % (1350223)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=863679695:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 23.74/3.86 % TRYING [3]
% 23.74/3.86 % (1350223)Cannot represent all propositional literals internally
% 23.74/3.86 % (1350223)Refutation not found, incomplete strategy
% 23.74/3.86 % (1350223)------------------------------
% 23.74/3.86 % (1350223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350223)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350223)Termination reason: Refutation not found, incomplete strategy
% 23.74/3.86 % (1350223)Time elapsed: 0.003 s
% 23.74/3.86 % (1350223)Peak memory usage: 10 MB
% 23.74/3.86 % (1350223)Instructions burned: 13 (million)
% 23.74/3.86 % (1350223)------------------------------
% 23.74/3.86 % (1350223)------------------------------
% 23.74/3.86 % (1350225)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3312573082:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 23.74/3.86 % TRYING [8]
% 23.74/3.86 % (1350225)Instruction limit reached!
% 23.74/3.86 % (1350225)------------------------------
% 23.74/3.86 % (1350225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350225)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350225)Termination reason: Instruction limit
% 23.74/3.86 % (1350225)Termination phase: Finite model building constraint generation
% 23.74/3.86 % (1350225)Time elapsed: 0.171 s
% 23.74/3.86 % (1350225)Peak memory usage: 46 MB
% 23.74/3.86 % (1350225)Instructions burned: 923 (million)
% 23.74/3.86 % (1350227)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4171308554:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 23.74/3.86 % (1350213)Instruction limit reached!
% 23.74/3.86 % (1350213)------------------------------
% 23.74/3.86 % (1350213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350213)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350213)Termination reason: Instruction limit
% 23.74/3.86 % (1350213)Termination phase: Saturation
% 23.74/3.86 % (1350213)Time elapsed: 0.712 s
% 23.74/3.86 % (1350213)Peak memory usage: 23 MB
% 23.74/3.86 % (1350213)Instructions burned: 1181 (million)
% 23.74/3.86 % (1350219)Instruction limit reached!
% 23.74/3.86 % (1350219)------------------------------
% 23.74/3.86 % (1350219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350219)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350219)Termination reason: Instruction limit
% 23.74/3.86 % (1350219)Termination phase: Saturation
% 23.74/3.86 % (1350219)Time elapsed: 0.470 s
% 23.74/3.86 % (1350219)Peak memory usage: 19 MB
% 23.74/3.86 % (1350219)Instructions burned: 879 (million)
% 23.74/3.86 % (1350229)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3876256013:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 23.74/3.86 % (1350230)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3748829278:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 23.74/3.86 % (1350230)Cannot represent all propositional literals internally
% 23.74/3.86 % (1350230)Refutation not found, incomplete strategy
% 23.74/3.86 % (1350230)------------------------------
% 23.74/3.86 % (1350230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350230)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350230)Termination reason: Refutation not found, incomplete strategy
% 23.74/3.86 % (1350230)Time elapsed: 0.008 s
% 23.74/3.86 % (1350230)Peak memory usage: 11 MB
% 23.74/3.86 % (1350230)Instructions burned: 16 (million)
% 23.74/3.86 % (1350230)------------------------------
% 23.74/3.86 % (1350230)------------------------------
% 23.74/3.86 % (1350233)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1043272475:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 23.74/3.86 % (1350233)Cannot represent all propositional literals internally
% 23.74/3.86 % (1350233)Refutation not found, incomplete strategy
% 23.74/3.86 % (1350233)------------------------------
% 23.74/3.86 % (1350233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350233)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350233)Termination reason: Refutation not found, incomplete strategy
% 23.74/3.86 % (1350233)Time elapsed: 0.082 s
% 23.74/3.86 % (1350233)Peak memory usage: 12 MB
% 23.74/3.86 % (1350233)Instructions burned: 166 (million)
% 23.74/3.86 % (1350233)------------------------------
% 23.74/3.86 % (1350233)------------------------------
% 23.74/3.86 % (1350235)ott-2_1_sil=16000:newcnf=on:random_seed=1359096643:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 23.74/3.86 % (1350235)Instruction limit reached!
% 23.74/3.86 % (1350235)------------------------------
% 23.74/3.86 % (1350235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350235)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350235)Termination reason: Instruction limit
% 23.74/3.86 % (1350235)Termination phase: Saturation
% 23.74/3.86 % (1350235)Time elapsed: 0.557 s
% 23.74/3.86 % (1350235)Peak memory usage: 19 MB
% 23.74/3.86 % (1350235)Instructions burned: 869 (million)
% 23.74/3.86 % (1350237)ott+10_1_sil=32000:tgt=ground:random_seed=649336561:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 23.74/3.86 % (1350229)Instruction limit reached!
% 23.74/3.86 % (1350229)------------------------------
% 23.74/3.86 % (1350229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350229)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350229)Termination reason: Instruction limit
% 23.74/3.86 % (1350229)Termination phase: Saturation
% 23.74/3.86 % (1350229)Time elapsed: 0.962 s
% 23.74/3.86 % (1350229)Peak memory usage: 31 MB
% 23.74/3.86 % (1350229)Instructions burned: 1473 (million)
% 23.74/3.86 % (1350239)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=292265573:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 23.74/3.86 % TRYING [1]
% 23.74/3.86 % TRYING [2]
% 23.74/3.86 % TRYING [3]
% 23.74/3.86 % (1350227)Instruction limit reached!
% 23.74/3.86 % (1350227)------------------------------
% 23.74/3.86 % (1350227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350227)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350227)Termination reason: Instruction limit
% 23.74/3.86 % (1350227)Termination phase: Saturation
% 23.74/3.86 % (1350227)Time elapsed: 1.671 s
% 23.74/3.86 % (1350227)Peak memory usage: 35 MB
% 23.74/3.86 % (1350227)Instructions burned: 5131 (million)
% 23.74/3.86 % (1350241)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3706700597:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 23.74/3.86 % (1350237) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1350182-1350237"...
% 23.74/3.86 % (1350237)...printing done.
% 23.74/3.86 % (1350237)Refutation found. Thanks to Tanya!
% 23.74/3.86 % SZS status Theorem for theBenchmark
% 23.74/3.86 % SZS output start Proof for theBenchmark
% See solution above
% 23.74/3.86 % (1350237)------------------------------
% 23.74/3.86 % (1350237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 23.74/3.86 % (1350237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.74/3.86 % (1350237)CaDiCaL version: 2.1.3
% 23.74/3.86 % (1350237)Termination reason: Refutation
% 23.74/3.86 % (1350237)Time elapsed: 1.644 s
% 23.74/3.86 % (1350237)Peak memory usage: 34 MB
% 23.74/3.86 % (1350237)Instructions burned: 2579 (million)
% 23.74/3.86 % (1350182)Success in time 3.415 s
% 23.74/3.86 % Vampire exiting
%------------------------------------------------------------------------------