%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO651+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 09:54:57 AM UTC 2026
% Result : Theorem 5.93s 2.92s
% Output : Refutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 34
% Syntax : Number of formulae : 197 ( 32 unt; 0 def)
% Number of atoms : 526 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 555 ( 226 ~; 224 |; 70 &)
% ( 0 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 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 : 833 ( 815 !; 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(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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(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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(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] :
( ( coll(X3,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X4)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X4)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X4)
& perp(X2,X4,X2,X5)
& para(X0,X2,X5,X3) )
=> cong(X2,X5,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02212) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( coll(X3,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X4)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X4)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X4)
& perp(X2,X4,X2,X5)
& para(X0,X2,X5,X3) )
=> cong(X2,X5,X3,X1) ),
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(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(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(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(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(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(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(f201,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(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] :
( ~ cong(X2,X5,X3,X1)
& coll(X3,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X4)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X4)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X4)
& perp(X2,X4,X2,X5)
& para(X0,X2,X5,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X2,X5,X3,X1)
& coll(X3,X0,X1)
& eqangle(X0,X2,X2,X3,X3,X2,X2,X1)
& midp(X6,X0,X1)
& perp(X0,X1,X6,X4)
& midp(X7,X0,X2)
& perp(X0,X2,X7,X4)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X4)
& perp(X2,X4,X2,X5)
& para(X0,X2,X5,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK22,sK25,sK23,sK21)
& coll(sK23,sK20,sK21)
& eqangle(sK20,sK22,sK22,sK23,sK23,sK22,sK22,sK21)
& midp(sK26,sK20,sK21)
& perp(sK20,sK21,sK26,sK24)
& midp(sK27,sK20,sK22)
& perp(sK20,sK22,sK27,sK24)
& midp(sK28,sK21,sK22)
& perp(sK21,sK22,sK28,sK24)
& perp(sK22,sK24,sK22,sK25)
& para(sK20,sK22,sK25,sK23) ),
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(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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(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(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(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(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(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(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(f386,plain,
perp(sK21,sK22,sK28,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
midp(sK28,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ cong(sK22,sK25,sK23,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f401,plain,
midp(sK28,sK22,sK21),
inference(resolution,[],[f281,f387]) ).
fof(f405,plain,
coll(sK28,sK21,sK22),
inference(resolution,[],[f340,f387]) ).
fof(f413,plain,
coll(sK21,sK28,sK22),
inference(resolution,[],[f405,f272]) ).
fof(f428,plain,
perp(sK28,sK24,sK21,sK22),
inference(resolution,[],[f278,f386]) ).
fof(f449,plain,
! [X0] :
( ~ coll(sK21,sK28,X0)
| coll(X0,sK22,sK21) ),
inference(resolution,[],[f273,f413]) ).
fof(f473,plain,
! [X0,X1] :
( para(X0,sK21,X1,sK22)
| ~ midp(sK28,X0,X1) ),
inference(resolution,[],[f334,f387]) ).
fof(f476,plain,
! [X0,X1] :
( para(X0,sK22,X1,sK21)
| ~ midp(sK28,X0,X1) ),
inference(resolution,[],[f334,f401]) ).
fof(f536,plain,
perp(sK28,sK24,sK22,sK21),
inference(resolution,[],[f428,f277]) ).
fof(f548,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK22)
| para(X0,X1,sK28,sK24) ),
inference(resolution,[],[f279,f386]) ).
fof(f635,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(f636,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f288,f311]) ).
fof(f644,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(f663,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(f696,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f995,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(f1141,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X2)
| cong(X0,X1,X3,X1)
| ~ para(X2,X0,X2,X3) ),
inference(resolution,[],[f314,f310]) ).
fof(f1207,plain,
! [X2,X0,X1] :
( ~ midp(sK28,X0,X1)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK22,X1,sK21)
| midp(X2,sK22,sK21) ),
inference(resolution,[],[f473,f335]) ).
fof(f1212,plain,
! [X2,X0,X1] :
( ~ midp(sK28,X0,X1)
| ~ midp(X2,X0,X1)
| midp(X2,sK22,sK21) ),
inference(forward_subsumption_resolution,[],[f1207,f476]) ).
fof(f1359,plain,
para(sK28,sK24,sK28,sK24),
inference(resolution,[],[f548,f428]) ).
fof(f1593,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X1,X0,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f635,f345]) ).
fof(f1620,plain,
! [X2,X3,X0,X1] :
( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f636,f290]) ).
fof(f1673,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f644,f309]) ).
fof(f1690,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,[],[f644,f322]) ).
fof(f1863,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f663,f313]) ).
fof(f1864,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f663,f312]) ).
fof(f1874,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1863,f1864]) ).
fof(f2236,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X1,X2,X4,X5)
| ~ midp(X3,X4,X5)
| cong(X0,X1,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f696,f346]) ).
fof(f2319,plain,
coll(sK22,sK22,sK21),
inference(resolution,[],[f449,f413]) ).
fof(f10056,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1673,f1359]) ).
fof(f10147,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10056,f337]) ).
fof(f10148,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f10056,f1874]) ).
fof(f10187,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10147,f272]) ).
fof(f10265,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10187,f271]) ).
fof(f10338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10265,f273]) ).
fof(f10354,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10338,f10265]) ).
fof(f11650,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f10148,f285]) ).
fof(f11652,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f10148,f287]) ).
fof(f11682,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f11652,f10148]) ).
fof(f12145,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f1620,f314]) ).
fof(f12156,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f12145]) ).
fof(f12157,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f12156,f11682]) ).
fof(f12168,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f12157,f11682]) ).
fof(f12170,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f12168,f11682]) ).
fof(f12419,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ coll(X0,X1,X1) ),
inference(resolution,[],[f12170,f338]) ).
fof(f12444,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f12170,f327]) ).
fof(f12477,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f12444,f12170]) ).
fof(f12479,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(forward_subsumption_resolution,[],[f12419,f10147]) ).
fof(f12616,plain,
! [X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,sK22,sK21) ),
inference(resolution,[],[f12479,f1212]) ).
fof(f12620,plain,
! [X0] : midp(X0,sK22,sK21),
inference(forward_subsumption_resolution,[],[f12616,f12479]) ).
fof(f14182,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f12477,f279]) ).
fof(f14184,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f12477,f278]) ).
fof(f14202,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f14182,f14184]) ).
fof(f14568,plain,
! [X0,X1] :
( perp(X0,X1,sK22,sK21)
| ~ para(X1,X0,sK28,sK24) ),
inference(resolution,[],[f1593,f536]) ).
fof(f14569,plain,
! [X0,X1] : perp(X0,X1,sK22,sK21),
inference(forward_subsumption_resolution,[],[f14568,f14202]) ).
fof(f14677,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK21)
| cong(X1,sK22,X1,sK21) ),
inference(resolution,[],[f14569,f326]) ).
fof(f14687,plain,
! [X1] : cong(X1,sK22,X1,sK21),
inference(forward_subsumption_resolution,[],[f14677,f12620]) ).
fof(f15664,plain,
! [X0,X1] :
( ~ coll(sK22,X0,X1)
| ~ coll(sK22,sK22,sK21)
| cong(sK22,X0,X0,X1)
| ~ para(X0,sK22,X1,sK21) ),
inference(resolution,[],[f14687,f995]) ).
fof(f15689,plain,
! [X0,X1] :
( ~ coll(sK22,X0,X1)
| cong(sK22,X0,X0,X1)
| ~ para(X0,sK22,X1,sK21) ),
inference(forward_subsumption_resolution,[],[f15664,f2319]) ).
fof(f15697,plain,
! [X0,X1] :
( cong(sK22,X0,X0,X1)
| ~ para(X0,sK22,X1,sK21) ),
inference(forward_subsumption_resolution,[],[f15689,f10354]) ).
fof(f15699,plain,
! [X0,X1] : cong(sK22,X0,X0,X1),
inference(forward_subsumption_resolution,[],[f15697,f14202]) ).
fof(f17269,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(resolution,[],[f11650,f1141]) ).
fof(f17290,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(forward_subsumption_resolution,[],[f17269,f11682]) ).
fof(f17292,plain,
! [X2,X0,X1] :
( cong(X0,X1,X2,X1)
| ~ para(X0,X0,X0,X2) ),
inference(forward_subsumption_resolution,[],[f17290,f11682]) ).
fof(f17293,plain,
! [X2,X0,X1] : cong(X0,X1,X2,X1),
inference(forward_subsumption_resolution,[],[f17292,f14202]) ).
fof(f18425,plain,
! [X0,X1] :
( ~ cong(sK22,sK22,sK22,X0)
| circle(sK22,sK22,X0,X1) ),
inference(resolution,[],[f15699,f282]) ).
fof(f18470,plain,
! [X0,X1] : circle(sK22,sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f18425,f15699]) ).
fof(f21011,plain,
! [X2,X0,X1] :
( ~ para(sK22,X0,sK22,X1)
| ~ coll(X1,X2,X0)
| midp(X1,X2,X0) ),
inference(resolution,[],[f1690,f18470]) ).
fof(f21012,plain,
! [X2,X0,X1] :
( ~ coll(X1,X2,X0)
| midp(X1,X2,X0) ),
inference(forward_subsumption_resolution,[],[f21011,f14202]) ).
fof(f21020,plain,
! [X2,X0,X1] : midp(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f21012,f10354]) ).
fof(f22336,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| cong(X3,X4,X0,X1)
| ~ midp(X3,X4,X2) ),
inference(resolution,[],[f2236,f17293]) ).
fof(f22450,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| cong(X3,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f22336,f21020]) ).
fof(f22473,plain,
! [X3,X0,X1,X4] : cong(X3,X4,X0,X1),
inference(forward_subsumption_resolution,[],[f22450,f21020]) ).
fof(f23178,plain,
$false,
inference(resolution,[],[f22473,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO651+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 % Computer : n016.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Sun Sep 27 08:48:47 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 6.57/1.47 % (2331041)Will run a generic schedule for satisfiability detection.
% 6.57/1.47 % (2331050)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2668851101:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.57/1.47 % (2331047)% WARNING: option uhcvi not known.
% 6.57/1.47 % (2331046)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2202954715_2999 on theBenchmark for (2999ds/0Mi)
% 6.57/1.47 % (2331051)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2519903909:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.57/1.47 % (2331047)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4148115007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.57/1.47 % (2331048)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=957880091:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.57/1.47 % (2331049)dis+10_1_sil=32000:sp=arity:random_seed=258467668:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.57/1.47 % (2331052)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3390940026:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.57/1.47 % TRYING [1]
% 6.57/1.47 % TRYING [2]
% 6.57/1.47 % (2331050)Instruction limit reached!
% 6.57/1.47 % (2331050)------------------------------
% 6.57/1.47 % (2331050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.47 % (2331050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.47 % (2331050)CaDiCaL version: 2.1.3
% 6.57/1.47 % (2331050)Termination reason: Instruction limit
% 6.57/1.47 % (2331050)Termination phase: Saturation
% 6.57/1.47 % (2331050)Time elapsed: 0.040 s
% 6.57/1.47 % (2331050)Peak memory usage: 13 MB
% 6.57/1.47 % (2331050)Instructions burned: 119 (million)
% 6.57/1.47 % TRYING [3]
% 6.57/1.47 % (2331060)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2992358182:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.57/1.47 % TRYING [1]
% 6.57/1.47 % TRYING [2]
% 6.57/1.47 % (2331049)Instruction limit reached!
% 6.57/1.47 % (2331049)------------------------------
% 6.57/1.47 % (2331049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.47 % (2331049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.47 % (2331049)CaDiCaL version: 2.1.3
% 6.57/1.47 % (2331049)Termination reason: Instruction limit
% 6.57/1.47 % (2331049)Termination phase: Saturation
% 6.57/1.47 % (2331049)Time elapsed: 0.069 s
% 6.57/1.47 % (2331049)Peak memory usage: 12 MB
% 6.57/1.47 % (2331049)Instructions burned: 104 (million)
% 6.57/1.47 % TRYING [3]
% 6.57/1.47 % (2331051)Instruction limit reached!
% 6.57/1.47 % (2331051)------------------------------
% 6.57/1.47 % (2331051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.47 % (2331051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.47 % (2331051)CaDiCaL version: 2.1.3
% 6.57/1.47 % (2331051)Termination reason: Instruction limit
% 6.57/1.47 % (2331051)Termination phase: Saturation
% 6.57/1.47 % (2331051)Time elapsed: 0.080 s
% 6.57/1.47 % (2331051)Peak memory usage: 14 MB
% 6.57/1.47 % (2331051)Instructions burned: 131 (million)
% 6.57/1.47 % (2331062)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3382282237:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.57/1.47 % (2331052)Instruction limit reached!
% 6.57/1.47 % (2331052)------------------------------
% 6.57/1.47 % (2331052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.47 % (2331052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.57/1.47 % (2331052)CaDiCaL version: 2.1.3
% 6.57/1.47 % (2331052)Termination reason: Instruction limit
% 6.57/1.47 % (2331052)Termination phase: Saturation
% 6.57/1.47 % (2331052)Time elapsed: 0.093 s
% 6.57/1.47 % (2331052)Peak memory usage: 14 MB
% 6.57/1.47 % (2331052)Instructions burned: 160 (million)
% 6.57/1.47 % (2331063)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=2952185979:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.57/1.47 % (2331065)ott-21_1_sil=16000:fs=off:random_seed=1567228111:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.57/1.47 % (2331062)Instruction limit reached!
% 6.57/1.47 % (2331062)------------------------------
% 6.57/1.47 % (2331062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.57/1.47 % (2331062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331062)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331062)Termination reason: Instruction limit
% 5.93/2.92 % (2331062)Termination phase: Saturation
% 5.93/2.92 % (2331062)Time elapsed: 0.083 s
% 5.93/2.92 % (2331062)Peak memory usage: 15 MB
% 5.93/2.92 % (2331062)Instructions burned: 131 (million)
% 5.93/2.92 % (2331060)Instruction limit reached!
% 5.93/2.92 % (2331060)------------------------------
% 5.93/2.92 % (2331060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331060)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331060)Termination reason: Instruction limit
% 5.93/2.92 % (2331060)Termination phase: Finite model building constraint generation
% 5.93/2.92 % (2331060)Time elapsed: 0.133 s
% 5.93/2.92 % (2331060)Peak memory usage: 24 MB
% 5.93/2.92 % (2331060)Instructions burned: 715 (million)
% 5.93/2.92 % (2331069)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1447118023:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.93/2.92 % (2331068)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3938608304:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.93/2.92 % TRYING [1]
% 5.93/2.92 % TRYING [2]
% 5.93/2.92 % (2331065)Instruction limit reached!
% 5.93/2.92 % (2331065)------------------------------
% 5.93/2.92 % (2331065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331065)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331065)Termination reason: Instruction limit
% 5.93/2.92 % (2331065)Termination phase: Saturation
% 5.93/2.92 % (2331065)Time elapsed: 0.095 s
% 5.93/2.92 % (2331065)Peak memory usage: 13 MB
% 5.93/2.92 % (2331065)Instructions burned: 180 (million)
% 5.93/2.92 % (2331072)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=441989328:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 5.93/2.92 % TRYING [3]
% 5.93/2.92 % (2331069)Instruction limit reached!
% 5.93/2.92 % (2331069)------------------------------
% 5.93/2.92 % (2331069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331069)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331069)Termination reason: Instruction limit
% 5.93/2.92 % (2331069)Termination phase: Finite model building constraint generation
% 5.93/2.92 % (2331069)Time elapsed: 0.165 s
% 5.93/2.92 % (2331069)Peak memory usage: 50 MB
% 5.93/2.92 % (2331069)Instructions burned: 867 (million)
% 5.93/2.92 % (2331074)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3683798559:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 5.93/2.92 % (2331074)Cannot represent all propositional literals internally
% 5.93/2.92 % (2331074)Refutation not found, incomplete strategy
% 5.93/2.92 % (2331074)------------------------------
% 5.93/2.92 % (2331074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331074)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331074)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.92 % (2331074)Time elapsed: 0.003 s
% 5.93/2.92 % (2331074)Peak memory usage: 10 MB
% 5.93/2.92 % (2331074)Instructions burned: 13 (million)
% 5.93/2.92 % (2331074)------------------------------
% 5.93/2.92 % (2331074)------------------------------
% 5.93/2.92 % (2331076)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=975698056: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)
% 5.93/2.92 % (2331063)Instruction limit reached!
% 5.93/2.92 % (2331063)------------------------------
% 5.93/2.92 % (2331063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331063)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331063)Termination reason: Instruction limit
% 5.93/2.92 % (2331063)Termination phase: Saturation
% 5.93/2.92 % (2331063)Time elapsed: 0.337 s
% 5.93/2.92 % (2331063)Peak memory usage: 16 MB
% 5.93/2.92 % (2331063)Instructions burned: 684 (million)
% 5.93/2.92 % (2331078)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1664048168:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 5.93/2.92 % (2331068)Instruction limit reached!
% 5.93/2.92 % (2331068)------------------------------
% 5.93/2.92 % (2331068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331068)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331068)Termination reason: Instruction limit
% 5.93/2.92 % (2331068)Termination phase: Saturation
% 5.93/2.92 % (2331068)Time elapsed: 0.286 s
% 5.93/2.92 % (2331068)Peak memory usage: 15 MB
% 5.93/2.92 % (2331068)Instructions burned: 477 (million)
% 5.93/2.92 % (2331080)fmb+10_1_sil=64000:random_seed=2835417693:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 5.93/2.92 % TRYING [1]
% 5.93/2.92 % TRYING [2]
% 5.93/2.92 % TRYING [3]
% 5.93/2.92 % (2331076)Instruction limit reached!
% 5.93/2.92 % (2331076)------------------------------
% 5.93/2.92 % (2331076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331076)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331076)Termination reason: Instruction limit
% 5.93/2.92 % (2331076)Termination phase: Saturation
% 5.93/2.92 % (2331076)Time elapsed: 0.212 s
% 5.93/2.92 % (2331076)Peak memory usage: 24 MB
% 5.93/2.92 % (2331076)Instructions burned: 695 (million)
% 5.93/2.92 % (2331082)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2157888968:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 5.93/2.92 % (2331082)Cannot represent all propositional literals internally
% 5.93/2.92 % (2331082)Refutation not found, incomplete strategy
% 5.93/2.92 % (2331082)------------------------------
% 5.93/2.92 % (2331082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331082)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331082)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.92 % (2331082)Time elapsed: 0.003 s
% 5.93/2.92 % (2331082)Peak memory usage: 10 MB
% 5.93/2.92 % (2331082)Instructions burned: 13 (million)
% 5.93/2.92 % (2331082)------------------------------
% 5.93/2.92 % (2331082)------------------------------
% 5.93/2.92 % (2331084)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=172426828:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 5.93/2.92 % TRYING [8]
% 5.93/2.92 % (2331084)Instruction limit reached!
% 5.93/2.92 % (2331084)------------------------------
% 5.93/2.92 % (2331084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331084)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331084)Termination reason: Instruction limit
% 5.93/2.92 % (2331084)Termination phase: Finite model building constraint generation
% 5.93/2.92 % (2331084)Time elapsed: 0.158 s
% 5.93/2.92 % (2331084)Peak memory usage: 46 MB
% 5.93/2.92 % (2331084)Instructions burned: 922 (million)
% 5.93/2.92 % (2331086)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=122834476:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 5.93/2.92 % (2331078)Instruction limit reached!
% 5.93/2.92 % (2331078)------------------------------
% 5.93/2.92 % (2331078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331078)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331078)Termination reason: Instruction limit
% 5.93/2.92 % (2331078)Termination phase: Saturation
% 5.93/2.92 % (2331078)Time elapsed: 0.489 s
% 5.93/2.92 % (2331078)Peak memory usage: 18 MB
% 5.93/2.92 % (2331078)Instructions burned: 880 (million)
% 5.93/2.92 % (2331072)Instruction limit reached!
% 5.93/2.92 % (2331072)------------------------------
% 5.93/2.92 % (2331072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331072)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331072)Termination reason: Instruction limit
% 5.93/2.92 % (2331072)Termination phase: Saturation
% 5.93/2.92 % (2331072)Time elapsed: 0.729 s
% 5.93/2.92 % (2331072)Peak memory usage: 24 MB
% 5.93/2.92 % (2331072)Instructions burned: 1179 (million)
% 5.93/2.92 % (2331088)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2231924073:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 5.93/2.92 % (2331089)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3640155584:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 5.93/2.92 % (2331089)Cannot represent all propositional literals internally
% 5.93/2.92 % (2331089)Refutation not found, incomplete strategy
% 5.93/2.92 % (2331089)------------------------------
% 5.93/2.92 % (2331089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331089)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331089)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.92 % (2331089)Time elapsed: 0.008 s
% 5.93/2.92 % (2331089)Peak memory usage: 11 MB
% 5.93/2.92 % (2331089)Instructions burned: 16 (million)
% 5.93/2.92 % (2331089)------------------------------
% 5.93/2.92 % (2331089)------------------------------
% 5.93/2.92 % (2331092)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1380038447:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 5.93/2.92 % (2331092)Cannot represent all propositional literals internally
% 5.93/2.92 % (2331092)Refutation not found, incomplete strategy
% 5.93/2.92 % (2331092)------------------------------
% 5.93/2.92 % (2331092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331092)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331092)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.92 % (2331092)Time elapsed: 0.082 s
% 5.93/2.92 % (2331092)Peak memory usage: 12 MB
% 5.93/2.92 % (2331092)Instructions burned: 166 (million)
% 5.93/2.92 % (2331092)------------------------------
% 5.93/2.92 % (2331092)------------------------------
% 5.93/2.92 % (2331094)ott-2_1_sil=16000:newcnf=on:random_seed=527027292:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 5.93/2.92 % (2331094)Instruction limit reached!
% 5.93/2.92 % (2331094)------------------------------
% 5.93/2.92 % (2331094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331094)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331094)Termination reason: Instruction limit
% 5.93/2.92 % (2331094)Termination phase: Saturation
% 5.93/2.92 % (2331094)Time elapsed: 0.556 s
% 5.93/2.92 % (2331094)Peak memory usage: 18 MB
% 5.93/2.92 % (2331094)Instructions burned: 870 (million)
% 5.93/2.92 % (2331096)ott+10_1_sil=32000:tgt=ground:random_seed=3655286955:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 5.93/2.92 % (2331088)Instruction limit reached!
% 5.93/2.92 % (2331088)------------------------------
% 5.93/2.92 % (2331088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331088)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331088)Termination reason: Instruction limit
% 5.93/2.92 % (2331088)Termination phase: Saturation
% 5.93/2.92 % (2331088)Time elapsed: 0.945 s
% 5.93/2.92 % (2331088)Peak memory usage: 33 MB
% 5.93/2.92 % (2331088)Instructions burned: 1472 (million)
% 5.93/2.92 % (2331098)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=180914556:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 5.93/2.92 % TRYING [1]
% 5.93/2.92 % TRYING [2]
% 5.93/2.92 % TRYING [3]
% 5.93/2.92 % TRYING [4]
% 5.93/2.92 % (2331096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2331041-2331096"...
% 5.93/2.92 % (2331096)...printing done.
% 5.93/2.92 % (2331096)Refutation found. Thanks to Tanya!
% 5.93/2.92 % SZS status Theorem for theBenchmark
% 5.93/2.92 % SZS output start Proof for theBenchmark
% See solution above
% 5.93/2.92 % (2331096)------------------------------
% 5.93/2.92 % (2331096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.92 % (2331096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.92 % (2331096)CaDiCaL version: 2.1.3
% 5.93/2.92 % (2331096)Termination reason: Refutation
% 5.93/2.92 % (2331096)Time elapsed: 0.702 s
% 5.93/2.92 % (2331096)Peak memory usage: 23 MB
% 5.93/2.92 % (2331096)Instructions burned: 1088 (million)
% 5.93/2.92 % (2331041)Success in time 2.468 s
% 5.93/2.92 % Vampire exiting
%------------------------------------------------------------------------------