%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO606+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 09:54:51 AM UTC 2026
% Result : Theorem 21.81s 3.57s
% Output : Refutation 21.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 215 ( 43 unt; 0 def)
% Number of atoms : 556 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 566 ( 225 ~; 223 |; 84 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 19 ( 19 usr; 18 con; 0-6 aty)
% Number of variables : 847 ( 808 !; 39 ?)
% 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(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(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(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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(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(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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( perp(X2,X0,X2,X1)
& circle(X0,X2,X8,X9)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X3,X12)
& circle(X0,X3,X4,X13)
& coll(X4,X3,X0)
& circle(X0,X2,X5,X14)
& circle(X1,X2,X5,X15)
& coll(X6,X3,X5)
& circle(X1,X2,X6,X16)
& circle(X1,X6,X7,X17)
& coll(X7,X6,X1) )
=> perp(X7,X6,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ( perp(X2,X0,X2,X1)
& circle(X0,X2,X8,X9)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X3,X12)
& circle(X0,X3,X4,X13)
& coll(X4,X3,X0)
& circle(X0,X2,X5,X14)
& circle(X1,X2,X5,X15)
& coll(X6,X3,X5)
& circle(X1,X2,X6,X16)
& circle(X1,X6,X7,X17)
& coll(X7,X6,X1) )
=> perp(X7,X6,X3,X4) ),
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(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(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(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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(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(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(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
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(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ~ perp(X7,X6,X3,X4)
& perp(X2,X0,X2,X1)
& circle(X0,X2,X8,X9)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X3,X12)
& circle(X0,X3,X4,X13)
& coll(X4,X3,X0)
& circle(X0,X2,X5,X14)
& circle(X1,X2,X5,X15)
& coll(X6,X3,X5)
& circle(X1,X2,X6,X16)
& circle(X1,X6,X7,X17)
& coll(X7,X6,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
( ~ perp(X7,X6,X3,X4)
& perp(X2,X0,X2,X1)
& circle(X0,X2,X8,X9)
& circle(X1,X2,X10,X11)
& circle(X0,X2,X3,X12)
& circle(X0,X3,X4,X13)
& coll(X4,X3,X0)
& circle(X0,X2,X5,X14)
& circle(X1,X2,X5,X15)
& coll(X6,X3,X5)
& circle(X1,X2,X6,X16)
& circle(X1,X6,X7,X17)
& coll(X7,X6,X1) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ perp(sK27,sK26,sK23,sK24)
& perp(sK22,sK20,sK22,sK21)
& circle(sK20,sK22,sK28,sK29)
& circle(sK21,sK22,sK30,sK31)
& circle(sK20,sK22,sK23,sK32)
& circle(sK20,sK23,sK24,sK33)
& coll(sK24,sK23,sK20)
& circle(sK20,sK22,sK25,sK34)
& circle(sK21,sK22,sK25,sK35)
& coll(sK26,sK23,sK25)
& circle(sK21,sK22,sK26,sK36)
& circle(sK21,sK26,sK27,sK37)
& coll(sK27,sK26,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37)],[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(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(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(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(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(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(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
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(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f384,plain,
coll(sK27,sK26,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
~ perp(sK27,sK26,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f419,plain,
perp(sK22,sK20,sK21,sK22),
inference(resolution,[],[f277,f395]) ).
fof(f422,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f395]) ).
fof(f434,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f453,plain,
! [X0] :
( ~ coll(sK27,sK26,X0)
| coll(X0,sK21,sK27) ),
inference(resolution,[],[f273,f384]) ).
fof(f455,plain,
perp(sK21,sK22,sK22,sK20),
inference(resolution,[],[f419,f278]) ).
fof(f495,plain,
coll(sK21,sK21,sK27),
inference(resolution,[],[f453,f384]) ).
fof(f506,plain,
coll(sK21,sK27,sK21),
inference(resolution,[],[f495,f271]) ).
fof(f507,plain,
( cong(sK22,sK22,sK22,sK21)
| ~ midp(sK20,sK22,sK21) ),
inference(resolution,[],[f326,f395]) ).
fof(f515,plain,
! [X0] :
( ~ coll(sK21,sK27,X0)
| coll(X0,sK21,sK21) ),
inference(resolution,[],[f506,f273]) ).
fof(f531,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f279,f395]) ).
fof(f532,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f279,f419]) ).
fof(f533,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK21)
| para(X0,X1,sK22,sK20) ),
inference(resolution,[],[f279,f422]) ).
fof(f555,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f559,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f596,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(f610,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(f634,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(f793,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f803,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f1002,plain,
coll(sK21,sK21,sK21),
inference(resolution,[],[f515,f506]) ).
fof(f1083,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(f1089,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,[],[f1083]) ).
fof(f1240,plain,
( cong(sK22,sK22,sK21,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(resolution,[],[f507,f293]) ).
fof(f1255,plain,
para(sK21,sK22,sK22,sK21),
inference(resolution,[],[f531,f455]) ).
fof(f1256,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f531,f422]) ).
fof(f1761,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f555,f434]) ).
fof(f1786,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f559,f339]) ).
fof(f1875,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f596,f309]) ).
fof(f1882,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X4,X5,X2,X3)
| perp(X4,X5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f596,f345]) ).
fof(f2054,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f610,f313]) ).
fof(f2055,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f610,f312]) ).
fof(f2065,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2054,f2055]) ).
fof(f2109,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[],[f1255,f274]) ).
fof(f2119,plain,
! [X0] :
( ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK22)
| midp(X0,sK22,sK22) ),
inference(resolution,[],[f2109,f335]) ).
fof(f2124,plain,
! [X0] :
( ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[],[f2119,f2109]) ).
fof(f2402,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,[],[f634,f346]) ).
fof(f3954,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f793,f803]) ).
fof(f3961,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3954]) ).
fof(f5584,plain,
para(sK22,sK20,sK22,sK20),
inference(resolution,[],[f533,f395]) ).
fof(f18002,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1875,f5584]) ).
fof(f18004,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f18002,f337]) ).
fof(f18009,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f18002,f335]) ).
fof(f18039,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f18009,f18002]) ).
fof(f18043,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f18004,f272]) ).
fof(f18477,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f18043,f271]) ).
fof(f18887,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f2065,f18002]) ).
fof(f18890,plain,
! [X0] : cyclic(sK21,sK21,sK22,X0),
inference(resolution,[],[f2065,f1256]) ).
fof(f18892,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f18477,f273]) ).
fof(f18964,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f18892,f18477]) ).
fof(f25404,plain,
( ~ cyclic(sK21,sK21,sK22,sK21)
| ~ cyclic(sK21,sK21,sK22,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(resolution,[],[f18890,f1089]) ).
fof(f25410,plain,
( ~ cyclic(sK21,sK21,sK22,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(duplicate_literal_removal,[],[f25404]) ).
fof(f25411,plain,
cong(sK21,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f25410,f18887]) ).
fof(f25575,plain,
( midp(sK21,sK21,sK21)
| ~ coll(sK21,sK21,sK21) ),
inference(resolution,[],[f25411,f338]) ).
fof(f25602,plain,
midp(sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f25575,f1002]) ).
fof(f25652,plain,
midp(sK21,sK22,sK22),
inference(resolution,[],[f25602,f2124]) ).
fof(f25967,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f18887,f1089]) ).
fof(f25986,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f25967]) ).
fof(f25996,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f25986,f18887]) ).
fof(f27163,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f25996,f338]) ).
fof(f27195,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f27163,f18964]) ).
fof(f31797,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f18039,f27195]) ).
fof(f31810,plain,
! [X0] : midp(sK21,X0,X0),
inference(resolution,[],[f18039,f25652]) ).
fof(f31833,plain,
! [X0,X1] :
( perp(sK21,sK21,X0,X1)
| ~ midp(sK21,X0,X0) ),
inference(resolution,[],[f31810,f1786]) ).
fof(f31838,plain,
! [X0,X1] : perp(sK21,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f31833,f31810]) ).
fof(f32419,plain,
para(sK21,sK21,sK21,sK22),
inference(resolution,[],[f31838,f532]) ).
fof(f32558,plain,
para(sK21,sK22,sK21,sK21),
inference(resolution,[],[f32419,f275]) ).
fof(f32561,plain,
! [X0] :
( ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK22,sK21,sK21)
| midp(X0,sK22,sK21) ),
inference(resolution,[],[f32419,f335]) ).
fof(f32566,plain,
! [X0] :
( ~ para(sK21,sK22,sK21,sK21)
| midp(X0,sK22,sK21) ),
inference(forward_subsumption_resolution,[],[f32561,f31797]) ).
fof(f32568,plain,
! [X0] : midp(X0,sK22,sK21),
inference(forward_subsumption_resolution,[],[f32566,f32558]) ).
fof(f32584,plain,
! [X0] : midp(X0,sK21,sK22),
inference(resolution,[],[f32568,f281]) ).
fof(f33134,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1)
| ~ midp(X2,X1,X1) ),
inference(resolution,[],[f2402,f25996]) ).
fof(f33215,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21)
| ~ midp(X1,sK21,sK21) ),
inference(resolution,[],[f2402,f25411]) ).
fof(f33222,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK22)
| cong(X1,sK22,X0,sK21)
| ~ midp(X1,sK22,sK22)
| ~ midp(sK20,sK22,sK21) ),
inference(resolution,[],[f2402,f1240]) ).
fof(f33299,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK22)
| cong(X1,sK22,X0,sK21)
| ~ midp(X1,sK22,sK22) ),
inference(forward_subsumption_resolution,[],[f33222,f32568]) ).
fof(f33300,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21) ),
inference(forward_subsumption_resolution,[],[f33215,f31797]) ).
fof(f33304,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f33134,f31797]) ).
fof(f33309,plain,
! [X0,X1] :
( cong(X1,sK22,X0,sK21)
| ~ midp(X1,sK22,sK22) ),
inference(forward_subsumption_resolution,[],[f33299,f32584]) ).
fof(f33310,plain,
! [X0,X1] : cong(X1,sK21,X0,sK21),
inference(forward_subsumption_resolution,[],[f33300,f31797]) ).
fof(f33313,plain,
! [X2,X0,X1] : cong(X2,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f33304,f31797]) ).
fof(f33317,plain,
! [X0,X1] : cong(X1,sK22,X0,sK21),
inference(forward_subsumption_resolution,[],[f33309,f31797]) ).
fof(f33348,plain,
! [X0,X1] : cong(X0,sK22,sK21,X1),
inference(resolution,[],[f33317,f293]) ).
fof(f33585,plain,
! [X0] :
( midp(sK21,sK22,X0)
| ~ coll(sK21,sK22,X0) ),
inference(resolution,[],[f33348,f338]) ).
fof(f33641,plain,
! [X0] : midp(sK21,sK22,X0),
inference(forward_subsumption_resolution,[],[f33585,f18964]) ).
fof(f33699,plain,
! [X0,X1] :
( cong(sK21,X0,sK21,X1)
| ~ midp(sK21,sK22,X0) ),
inference(resolution,[],[f33641,f1761]) ).
fof(f33711,plain,
! [X0,X1] : cong(sK21,X0,sK21,X1),
inference(forward_subsumption_resolution,[],[f33699,f33641]) ).
fof(f33955,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,sK21) ),
inference(resolution,[],[f33310,f327]) ).
fof(f34011,plain,
! [X2,X0,X1] : perp(X0,X2,X1,sK21),
inference(forward_subsumption_resolution,[],[f33955,f33313]) ).
fof(f35544,plain,
! [X0,X1] :
( midp(sK21,X0,X1)
| ~ coll(sK21,X0,X1) ),
inference(resolution,[],[f33711,f338]) ).
fof(f35652,plain,
! [X0,X1] : midp(sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f35544,f18964]) ).
fof(f35683,plain,
! [X2,X3,X0,X1] :
( ~ midp(sK21,X0,X1)
| para(X2,X1,X3,X0) ),
inference(resolution,[],[f35652,f3961]) ).
fof(f35696,plain,
! [X2,X3,X0,X1] : para(X2,X1,X3,X0),
inference(forward_subsumption_resolution,[],[f35683,f35652]) ).
fof(f36200,plain,
! [X2,X3,X0,X1,X4] :
( perp(X0,X1,X2,X3)
| ~ para(X2,X3,X4,sK21) ),
inference(resolution,[],[f34011,f1882]) ).
fof(f36231,plain,
! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f36200,f35696]) ).
fof(f39893,plain,
$false,
inference(resolution,[],[f36231,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO606+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 08:42:32 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.79/1.47 % (2325841)Will run a generic schedule for satisfiability detection.
% 6.79/1.47 % (2325851)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=392235990:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.79/1.47 % (2325847)% WARNING: option uhcvi not known.
% 6.79/1.47 % (2325846)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1704596390_2999 on theBenchmark for (2999ds/0Mi)
% 6.79/1.47 % (2325848)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2501943710:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.79/1.47 % (2325847)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1589615501:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.79/1.47 % (2325849)dis+10_1_sil=32000:sp=arity:random_seed=1035968153:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.79/1.47 % (2325850)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1248744981:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.79/1.47 % (2325852)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2539599641:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.79/1.47 % TRYING [1]
% 6.79/1.47 % TRYING [2]
% 6.79/1.47 % TRYING [3]
% 6.79/1.47 % (2325851)Instruction limit reached!
% 6.79/1.47 % (2325851)------------------------------
% 6.79/1.47 % (2325851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.47 % (2325851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.47 % (2325851)CaDiCaL version: 2.1.3
% 6.79/1.47 % (2325851)Termination reason: Instruction limit
% 6.79/1.47 % (2325851)Termination phase: Saturation
% 6.79/1.47 % (2325851)Time elapsed: 0.048 s
% 6.79/1.47 % (2325851)Peak memory usage: 14 MB
% 6.79/1.47 % (2325851)Instructions burned: 133 (million)
% 6.79/1.47 % (2325860)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2769600841:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.79/1.47 % (2325849)Instruction limit reached!
% 6.79/1.47 % (2325849)------------------------------
% 6.79/1.47 % (2325849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.47 % (2325849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.47 % (2325849)CaDiCaL version: 2.1.3
% 6.79/1.47 % (2325849)Termination reason: Instruction limit
% 6.79/1.47 % (2325849)Termination phase: Saturation
% 6.79/1.47 % (2325849)Time elapsed: 0.065 s
% 6.79/1.47 % (2325849)Peak memory usage: 13 MB
% 6.79/1.47 % (2325849)Instructions burned: 104 (million)
% 6.79/1.47 % (2325850)Instruction limit reached!
% 6.79/1.47 % (2325850)------------------------------
% 6.79/1.47 % (2325850)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.47 % (2325850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.47 % (2325850)CaDiCaL version: 2.1.3
% 6.79/1.47 % (2325850)Termination reason: Instruction limit
% 6.79/1.47 % (2325850)Termination phase: Saturation
% 6.79/1.47 % (2325850)Time elapsed: 0.068 s
% 6.79/1.47 % (2325850)Peak memory usage: 13 MB
% 6.79/1.47 % (2325850)Instructions burned: 116 (million)
% 6.79/1.47 % TRYING [1]
% 6.79/1.47 % TRYING [2]
% 6.79/1.47 % (2325862)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3975094859:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.79/1.47 % (2325863)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=762071423:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.79/1.47 % (2325852)Instruction limit reached!
% 6.79/1.47 % (2325852)------------------------------
% 6.79/1.47 % (2325852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.47 % (2325852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.79/1.47 % (2325852)CaDiCaL version: 2.1.3
% 6.79/1.47 % (2325852)Termination reason: Instruction limit
% 6.79/1.47 % (2325852)Termination phase: Saturation
% 6.79/1.47 % (2325852)Time elapsed: 0.090 s
% 6.79/1.47 % (2325852)Peak memory usage: 15 MB
% 6.79/1.47 % (2325852)Instructions burned: 159 (million)
% 6.79/1.47 % TRYING [3]
% 6.79/1.47 % (2325866)ott-21_1_sil=16000:fs=off:random_seed=2019047657:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.79/1.47 % (2325862)Instruction limit reached!
% 6.79/1.47 % (2325862)------------------------------
% 6.79/1.47 % (2325862)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.79/1.47 % (2325862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325862)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325862)Termination reason: Instruction limit
% 21.81/3.57 % (2325862)Termination phase: Saturation
% 21.81/3.57 % (2325862)Time elapsed: 0.087 s
% 21.81/3.57 % (2325862)Peak memory usage: 14 MB
% 21.81/3.57 % (2325862)Instructions burned: 132 (million)
% 21.81/3.57 % (2325868)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=452170902:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.81/3.57 % (2325866)Instruction limit reached!
% 21.81/3.57 % (2325866)------------------------------
% 21.81/3.57 % (2325866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325866)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325866)Termination reason: Instruction limit
% 21.81/3.57 % (2325866)Termination phase: Saturation
% 21.81/3.57 % (2325866)Time elapsed: 0.095 s
% 21.81/3.57 % (2325866)Peak memory usage: 13 MB
% 21.81/3.57 % (2325866)Instructions burned: 180 (million)
% 21.81/3.57 % (2325860)Instruction limit reached!
% 21.81/3.57 % (2325860)------------------------------
% 21.81/3.57 % (2325860)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325860)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325860)Termination reason: Instruction limit
% 21.81/3.57 % (2325860)Termination phase: Finite model building constraint generation
% 21.81/3.57 % (2325860)Time elapsed: 0.145 s
% 21.81/3.57 % (2325860)Peak memory usage: 25 MB
% 21.81/3.57 % (2325860)Instructions burned: 715 (million)
% 21.81/3.57 % (2325871)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2142389986:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.81/3.57 % (2325870)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3662675545:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.81/3.57 % TRYING [1]
% 21.81/3.57 % TRYING [2]
% 21.81/3.57 % TRYING [3]
% 21.81/3.57 % (2325868)Instruction limit reached!
% 21.81/3.57 % (2325868)------------------------------
% 21.81/3.57 % (2325868)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325868)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325868)Termination reason: Instruction limit
% 21.81/3.57 % (2325868)Termination phase: Saturation
% 21.81/3.57 % (2325868)Time elapsed: 0.283 s
% 21.81/3.57 % (2325868)Peak memory usage: 15 MB
% 21.81/3.57 % (2325868)Instructions burned: 477 (million)
% 21.81/3.57 % (2325863)Instruction limit reached!
% 21.81/3.57 % (2325863)------------------------------
% 21.81/3.57 % (2325863)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325863)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325863)Termination reason: Instruction limit
% 21.81/3.57 % (2325863)Termination phase: Saturation
% 21.81/3.57 % (2325863)Time elapsed: 0.406 s
% 21.81/3.57 % (2325863)Peak memory usage: 19 MB
% 21.81/3.57 % (2325863)Instructions burned: 684 (million)
% 21.81/3.57 % (2325874)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3715431500:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.81/3.57 % (2325874)Cannot represent all propositional literals internally
% 21.81/3.57 % (2325874)Refutation not found, incomplete strategy
% 21.81/3.57 % (2325874)------------------------------
% 21.81/3.57 % (2325874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325874)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325874)Termination reason: Refutation not found, incomplete strategy
% 21.81/3.57 % (2325874)Time elapsed: 0.006 s
% 21.81/3.57 % (2325874)Peak memory usage: 10 MB
% 21.81/3.57 % (2325874)Instructions burned: 13 (million)
% 21.81/3.57 % (2325874)------------------------------
% 21.81/3.57 % (2325874)------------------------------
% 21.81/3.57 % (2325875)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=3888918074:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 21.81/3.57 % (2325877)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2618816911:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.81/3.57 % (2325870)Instruction limit reached!
% 21.81/3.57 % (2325870)------------------------------
% 21.81/3.57 % (2325870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325870)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325870)Termination reason: Instruction limit
% 21.81/3.57 % (2325870)Termination phase: Finite model building constraint generation
% 21.81/3.57 % (2325870)Time elapsed: 0.302 s
% 21.81/3.57 % (2325870)Peak memory usage: 50 MB
% 21.81/3.57 % (2325870)Instructions burned: 865 (million)
% 21.81/3.57 % (2325880)fmb+10_1_sil=64000:random_seed=1865611888:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 21.81/3.57 % TRYING [1]
% 21.81/3.57 % TRYING [2]
% 21.81/3.57 % (2325871)Instruction limit reached!
% 21.81/3.57 % (2325871)------------------------------
% 21.81/3.57 % (2325871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325871)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325871)Termination reason: Instruction limit
% 21.81/3.57 % (2325871)Termination phase: Saturation
% 21.81/3.57 % (2325871)Time elapsed: 0.381 s
% 21.81/3.57 % (2325871)Peak memory usage: 25 MB
% 21.81/3.57 % (2325871)Instructions burned: 1182 (million)
% 21.81/3.57 % (2325882)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3316791566:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 21.81/3.57 % (2325882)Cannot represent all propositional literals internally
% 21.81/3.57 % (2325882)Refutation not found, incomplete strategy
% 21.81/3.57 % (2325882)------------------------------
% 21.81/3.57 % (2325882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325882)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325882)Termination reason: Refutation not found, incomplete strategy
% 21.81/3.57 % (2325882)Time elapsed: 0.003 s
% 21.81/3.57 % (2325882)Peak memory usage: 10 MB
% 21.81/3.57 % (2325882)Instructions burned: 13 (million)
% 21.81/3.57 % (2325882)------------------------------
% 21.81/3.57 % (2325882)------------------------------
% 21.81/3.57 % (2325884)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1395625701:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 21.81/3.57 % TRYING [8]
% 21.81/3.57 % TRYING [3]
% 21.81/3.57 % (2325884)Instruction limit reached!
% 21.81/3.57 % (2325884)------------------------------
% 21.81/3.57 % (2325884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325884)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325884)Termination reason: Instruction limit
% 21.81/3.57 % (2325884)Termination phase: Finite model building constraint generation
% 21.81/3.57 % (2325884)Time elapsed: 0.154 s
% 21.81/3.57 % (2325884)Peak memory usage: 46 MB
% 21.81/3.57 % (2325884)Instructions burned: 924 (million)
% 21.81/3.57 % (2325886)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1072488469:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 21.81/3.57 % (2325875)Instruction limit reached!
% 21.81/3.57 % (2325875)------------------------------
% 21.81/3.57 % (2325875)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325875)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325875)Termination reason: Instruction limit
% 21.81/3.57 % (2325875)Termination phase: Saturation
% 21.81/3.57 % (2325875)Time elapsed: 0.430 s
% 21.81/3.57 % (2325875)Peak memory usage: 21 MB
% 21.81/3.57 % (2325875)Instructions burned: 692 (million)
% 21.81/3.57 % (2325888)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3352405998:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 21.81/3.57 % (2325877)Instruction limit reached!
% 21.81/3.57 % (2325877)------------------------------
% 21.81/3.57 % (2325877)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325877)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325877)Termination reason: Instruction limit
% 21.81/3.57 % (2325877)Termination phase: Saturation
% 21.81/3.57 % (2325877)Time elapsed: 0.475 s
% 21.81/3.57 % (2325877)Peak memory usage: 18 MB
% 21.81/3.57 % (2325877)Instructions burned: 881 (million)
% 21.81/3.57 % (2325890)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2450746504:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 21.81/3.57 % (2325890)Cannot represent all propositional literals internally
% 21.81/3.57 % (2325890)Refutation not found, incomplete strategy
% 21.81/3.57 % (2325890)------------------------------
% 21.81/3.57 % (2325890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325890)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325890)Termination reason: Refutation not found, incomplete strategy
% 21.81/3.57 % (2325890)Time elapsed: 0.008 s
% 21.81/3.57 % (2325890)Peak memory usage: 11 MB
% 21.81/3.57 % (2325890)Instructions burned: 16 (million)
% 21.81/3.57 % (2325890)------------------------------
% 21.81/3.57 % (2325890)------------------------------
% 21.81/3.57 % (2325892)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1406645499:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 21.81/3.57 % (2325892)Cannot represent all propositional literals internally
% 21.81/3.57 % (2325892)Refutation not found, incomplete strategy
% 21.81/3.57 % (2325892)------------------------------
% 21.81/3.57 % (2325892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325892)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325892)Termination reason: Refutation not found, incomplete strategy
% 21.81/3.57 % (2325892)Time elapsed: 0.082 s
% 21.81/3.57 % (2325892)Peak memory usage: 12 MB
% 21.81/3.57 % (2325892)Instructions burned: 167 (million)
% 21.81/3.57 % (2325892)------------------------------
% 21.81/3.57 % (2325892)------------------------------
% 21.81/3.57 % (2325894)ott-2_1_sil=16000:newcnf=on:random_seed=3842222737:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 21.81/3.57 % (2325894)Instruction limit reached!
% 21.81/3.57 % (2325894)------------------------------
% 21.81/3.57 % (2325894)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325894)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325894)Termination reason: Instruction limit
% 21.81/3.57 % (2325894)Termination phase: Saturation
% 21.81/3.57 % (2325894)Time elapsed: 0.553 s
% 21.81/3.57 % (2325894)Peak memory usage: 17 MB
% 21.81/3.57 % (2325894)Instructions burned: 870 (million)
% 21.81/3.57 % (2325896)ott+10_1_sil=32000:tgt=ground:random_seed=1618656732:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 21.81/3.57 % TRYING [4]
% 21.81/3.57 % (2325888)Instruction limit reached!
% 21.81/3.57 % (2325888)------------------------------
% 21.81/3.57 % (2325888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325888)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325888)Termination reason: Instruction limit
% 21.81/3.57 % (2325888)Termination phase: Saturation
% 21.81/3.57 % (2325888)Time elapsed: 1.026 s
% 21.81/3.57 % (2325888)Peak memory usage: 34 MB
% 21.81/3.57 % (2325888)Instructions burned: 1473 (million)
% 21.81/3.57 % (2325898)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2432559670:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 21.81/3.57 % TRYING [1]
% 21.81/3.57 % TRYING [2]
% 21.81/3.57 % TRYING [3]
% 21.81/3.57 % (2325886)Instruction limit reached!
% 21.81/3.57 % (2325886)------------------------------
% 21.81/3.57 % (2325886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325886)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325886)Termination reason: Instruction limit
% 21.81/3.57 % (2325886)Termination phase: Saturation
% 21.81/3.57 % (2325886)Time elapsed: 1.691 s
% 21.81/3.57 % (2325886)Peak memory usage: 38 MB
% 21.81/3.57 % (2325886)Instructions burned: 5133 (million)
% 21.81/3.57 % (2325900)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3649901048:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 21.81/3.57 % (2325896) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2325841-2325896"...
% 21.81/3.57 % (2325896)...printing done.
% 21.81/3.57 % (2325896)Refutation found. Thanks to Tanya!
% 21.81/3.57 % SZS status Theorem for theBenchmark
% 21.81/3.57 % SZS output start Proof for theBenchmark
% See solution above
% 21.81/3.57 % (2325896)------------------------------
% 21.81/3.57 % (2325896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.81/3.57 % (2325896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.81/3.57 % (2325896)CaDiCaL version: 2.1.3
% 21.81/3.57 % (2325896)Termination reason: Refutation
% 21.81/3.57 % (2325896)Time elapsed: 1.356 s
% 21.81/3.57 % (2325896)Peak memory usage: 35 MB
% 21.81/3.57 % (2325896)Instructions burned: 2186 (million)
% 21.81/3.57 % (2325841)Success in time 3.153 s
% 21.81/3.57 % Vampire exiting
%------------------------------------------------------------------------------