%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO582+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.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 09:54:47 AM UTC 2026
% Result : Theorem 8.03s 3.14s
% Output : Refutation 8.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 33
% Syntax : Number of formulae : 213 ( 46 unt; 0 def)
% Number of atoms : 515 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 518 ( 216 ~; 214 |; 54 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-6 aty)
% Number of variables : 776 ( 757 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X0,X5)
& coll(X5,X2,X4)
& perp(X2,X4,X2,X6)
& coll(X6,X0,X1) )
=> para(X4,X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X0,X5)
& coll(X5,X2,X4)
& perp(X2,X4,X2,X6)
& coll(X6,X0,X1) )
=> para(X4,X1,X5,X6) ),
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(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(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(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] :
( ~ para(X4,X1,X5,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X0,X5)
& coll(X5,X2,X4)
& perp(X2,X4,X2,X6)
& coll(X6,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X1,X5,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X0,X5)
& coll(X5,X2,X4)
& perp(X2,X4,X2,X6)
& coll(X6,X0,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,
( ~ para(sK24,sK21,sK25,sK26)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK27)
& perp(sK20,sK21,sK20,sK25)
& coll(sK25,sK22,sK24)
& perp(sK22,sK24,sK22,sK26)
& coll(sK26,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(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(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(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(sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK22,sK24,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK21,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK24,sK21,sK25,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
coll(sK20,sK26,sK21),
inference(resolution,[],[f272,f384]) ).
fof(f400,plain,
coll(sK20,sK21,sK26),
inference(resolution,[],[f394,f271]) ).
fof(f411,plain,
perp(sK22,sK24,sK26,sK22),
inference(resolution,[],[f277,f385]) ).
fof(f415,plain,
perp(sK22,sK26,sK22,sK24),
inference(resolution,[],[f278,f385]) ).
fof(f416,plain,
perp(sK20,sK25,sK20,sK21),
inference(resolution,[],[f278,f387]) ).
fof(f419,plain,
perp(sK26,sK22,sK22,sK24),
inference(resolution,[],[f411,f278]) ).
fof(f428,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f432,plain,
! [X0] :
( ~ coll(sK20,sK21,X0)
| coll(X0,sK26,sK20) ),
inference(resolution,[],[f273,f400]) ).
fof(f497,plain,
( cong(sK22,sK22,sK22,sK26)
| ~ midp(sK24,sK22,sK26) ),
inference(resolution,[],[f326,f385]) ).
fof(f519,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK20,sK25) ),
inference(resolution,[],[f279,f387]) ).
fof(f525,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK24)
| para(X0,X1,sK22,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f526,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK24)
| para(X0,X1,sK26,sK22) ),
inference(resolution,[],[f279,f411]) ).
fof(f563,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(f567,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f603,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(f617,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(f642,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(f650,plain,
coll(sK26,sK26,sK20),
inference(resolution,[],[f432,f400]) ).
fof(f661,plain,
coll(sK26,sK20,sK26),
inference(resolution,[],[f650,f271]) ).
fof(f667,plain,
! [X0] :
( ~ coll(sK26,sK20,X0)
| coll(X0,sK26,sK26) ),
inference(resolution,[],[f661,f273]) ).
fof(f803,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(f813,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(f998,plain,
coll(sK26,sK26,sK26),
inference(resolution,[],[f667,f661]) ).
fof(f1102,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(f1108,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,[],[f1102]) ).
fof(f1204,plain,
( cong(sK22,sK22,sK26,sK22)
| ~ midp(sK24,sK22,sK26) ),
inference(resolution,[],[f497,f293]) ).
fof(f1220,plain,
para(sK20,sK25,sK20,sK25),
inference(resolution,[],[f519,f416]) ).
fof(f1232,plain,
para(sK22,sK26,sK22,sK26),
inference(resolution,[],[f525,f415]) ).
fof(f1233,plain,
para(sK26,sK22,sK22,sK26),
inference(resolution,[],[f525,f419]) ).
fof(f1493,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f563,f428]) ).
fof(f1507,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f567,f339]) ).
fof(f1604,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f603,f309]) ).
fof(f1786,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f617,f313]) ).
fof(f1787,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f617,f312]) ).
fof(f1797,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1786,f1787]) ).
fof(f2063,plain,
para(sK26,sK22,sK26,sK22),
inference(resolution,[],[f1233,f274]) ).
fof(f2165,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,[],[f642,f346]) ).
fof(f3716,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,[],[f803,f813]) ).
fof(f3723,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3716]) ).
fof(f6147,plain,
( cong(sK26,sK22,sK22,sK22)
| ~ midp(sK24,sK22,sK26) ),
inference(resolution,[],[f1204,f294]) ).
fof(f11546,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1604,f2063]) ).
fof(f11548,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11546,f337]) ).
fof(f11553,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11546,f335]) ).
fof(f11574,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11553,f11546]) ).
fof(f11591,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11548,f272]) ).
fof(f11852,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11591,f271]) ).
fof(f12082,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1797,f11546]) ).
fof(f12083,plain,
! [X0] : cyclic(sK25,sK25,sK20,X0),
inference(resolution,[],[f1797,f1220]) ).
fof(f12087,plain,
! [X0] : cyclic(sK26,sK26,sK22,X0),
inference(resolution,[],[f1797,f1232]) ).
fof(f12093,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11852,f273]) ).
fof(f12136,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f12093,f11852]) ).
fof(f15085,plain,
! [X0,X1] :
( ~ cyclic(sK25,sK25,sK20,X0)
| cyclic(sK25,sK20,X0,X1) ),
inference(resolution,[],[f12083,f287]) ).
fof(f15105,plain,
! [X0,X1] : cyclic(sK25,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f15085,f12082]) ).
fof(f15130,plain,
( ~ cyclic(sK26,sK26,sK22,sK26)
| ~ cyclic(sK26,sK26,sK22,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(resolution,[],[f12087,f1108]) ).
fof(f15136,plain,
( ~ cyclic(sK26,sK26,sK22,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(duplicate_literal_removal,[],[f15130]) ).
fof(f15137,plain,
cong(sK26,sK26,sK26,sK26),
inference(forward_subsumption_resolution,[],[f15136,f12082]) ).
fof(f15585,plain,
! [X2,X0,X1] :
( ~ cyclic(sK25,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f15105,f287]) ).
fof(f15607,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f15585,f15105]) ).
fof(f15726,plain,
( midp(sK26,sK26,sK26)
| ~ coll(sK26,sK26,sK26) ),
inference(resolution,[],[f15137,f338]) ).
fof(f15757,plain,
midp(sK26,sK26,sK26),
inference(forward_subsumption_resolution,[],[f15726,f998]) ).
fof(f17025,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f15607,f287]) ).
fof(f17050,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f17025,f15607]) ).
fof(f17373,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f12082,f1108]) ).
fof(f17386,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f17373]) ).
fof(f17389,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f17386,f17050]) ).
fof(f18872,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f17389,f338]) ).
fof(f18916,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18872,f12136]) ).
fof(f22739,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11574,f18916]) ).
fof(f22772,plain,
! [X0] : midp(sK26,X0,X0),
inference(resolution,[],[f11574,f15757]) ).
fof(f23020,plain,
! [X0,X1] :
( perp(sK26,sK26,X0,X1)
| ~ midp(sK26,X0,X0) ),
inference(resolution,[],[f22772,f1507]) ).
fof(f23029,plain,
! [X0,X1] : perp(sK26,sK26,X0,X1),
inference(forward_subsumption_resolution,[],[f23020,f22772]) ).
fof(f23373,plain,
para(sK26,sK26,sK26,sK22),
inference(resolution,[],[f23029,f526]) ).
fof(f23630,plain,
para(sK26,sK22,sK26,sK26),
inference(resolution,[],[f23373,f275]) ).
fof(f23633,plain,
! [X0] :
( ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK22,sK26,sK26)
| midp(X0,sK22,sK26) ),
inference(resolution,[],[f23373,f335]) ).
fof(f23638,plain,
! [X0] :
( ~ para(sK26,sK22,sK26,sK26)
| midp(X0,sK22,sK26) ),
inference(forward_subsumption_resolution,[],[f23633,f22739]) ).
fof(f23640,plain,
! [X0] : midp(X0,sK22,sK26),
inference(forward_subsumption_resolution,[],[f23638,f23630]) ).
fof(f23667,plain,
! [X0] : midp(X0,sK26,sK22),
inference(resolution,[],[f23640,f281]) ).
fof(f24061,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK26,X0,sK22)
| ~ midp(X1,sK26,sK22)
| ~ midp(sK24,sK22,sK26) ),
inference(resolution,[],[f2165,f6147]) ).
fof(f24072,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK26,X0,sK22)
| ~ midp(X1,sK26,sK22) ),
inference(forward_subsumption_resolution,[],[f24061,f23640]) ).
fof(f24122,plain,
! [X0,X1] :
( cong(X1,sK26,X0,sK22)
| ~ midp(X1,sK26,sK22) ),
inference(forward_subsumption_resolution,[],[f24072,f22739]) ).
fof(f24142,plain,
! [X0,X1] : cong(X1,sK26,X0,sK22),
inference(forward_subsumption_resolution,[],[f24122,f23667]) ).
fof(f24180,plain,
! [X0,X1] : cong(X0,sK26,sK22,X1),
inference(resolution,[],[f24142,f293]) ).
fof(f24586,plain,
! [X0] :
( midp(sK22,sK26,X0)
| ~ coll(sK22,sK26,X0) ),
inference(resolution,[],[f24180,f338]) ).
fof(f24623,plain,
! [X0] : midp(sK22,sK26,X0),
inference(forward_subsumption_resolution,[],[f24586,f12136]) ).
fof(f24670,plain,
! [X0,X1] :
( cong(sK22,X0,sK22,X1)
| ~ midp(sK22,sK26,X0) ),
inference(resolution,[],[f24623,f1493]) ).
fof(f24682,plain,
! [X0,X1] : cong(sK22,X0,sK22,X1),
inference(forward_subsumption_resolution,[],[f24670,f24623]) ).
fof(f26511,plain,
! [X0,X1] :
( midp(sK22,X0,X1)
| ~ coll(sK22,X0,X1) ),
inference(resolution,[],[f24682,f338]) ).
fof(f26574,plain,
! [X0,X1] : midp(sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f26511,f12136]) ).
fof(f26596,plain,
! [X2,X3,X0,X1] :
( ~ midp(sK22,X0,X1)
| para(X2,X1,X3,X0) ),
inference(resolution,[],[f26574,f3723]) ).
fof(f26613,plain,
! [X2,X3,X0,X1] : para(X2,X1,X3,X0),
inference(forward_subsumption_resolution,[],[f26596,f26574]) ).
fof(f32851,plain,
$false,
inference(resolution,[],[f26613,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO582+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:32:10 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.74/1.46 % (1106240)Will run a generic schedule for satisfiability detection.
% 6.74/1.46 % (1106249)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=294099660:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.74/1.46 % (1106246)% WARNING: option uhcvi not known.
% 6.74/1.46 % (1106245)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3827537590_2999 on theBenchmark for (2999ds/0Mi)
% 6.74/1.46 % (1106246)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3172099980:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.74/1.46 % (1106247)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=694067545:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.74/1.46 % (1106248)dis+10_1_sil=32000:sp=arity:random_seed=3886604042:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.74/1.46 % (1106251)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1348649264:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.74/1.46 % (1106250)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4009979680:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.74/1.46 % TRYING [1]
% 6.74/1.46 % TRYING [2]
% 6.74/1.46 % (1106249)Instruction limit reached!
% 6.74/1.46 % (1106249)------------------------------
% 6.74/1.46 % (1106249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.46 % (1106249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.46 % (1106249)CaDiCaL version: 2.1.3
% 6.74/1.46 % (1106249)Termination reason: Instruction limit
% 6.74/1.46 % (1106249)Termination phase: Saturation
% 6.74/1.46 % (1106249)Time elapsed: 0.036 s
% 6.74/1.46 % (1106249)Peak memory usage: 13 MB
% 6.74/1.46 % (1106249)Instructions burned: 116 (million)
% 6.74/1.46 % (1106259)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2055732052:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.74/1.46 % TRYING [3]
% 6.74/1.46 % TRYING [1]
% 6.74/1.46 % TRYING [2]
% 6.74/1.46 % (1106248)Instruction limit reached!
% 6.74/1.46 % (1106248)------------------------------
% 6.74/1.46 % (1106248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.46 % (1106248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.46 % (1106248)CaDiCaL version: 2.1.3
% 6.74/1.46 % (1106248)Termination reason: Instruction limit
% 6.74/1.46 % (1106248)Termination phase: Saturation
% 6.74/1.46 % (1106248)Time elapsed: 0.066 s
% 6.74/1.46 % (1106248)Peak memory usage: 13 MB
% 6.74/1.46 % (1106248)Instructions burned: 104 (million)
% 6.74/1.46 % TRYING [3]
% 6.74/1.46 % (1106250)Instruction limit reached!
% 6.74/1.46 % (1106250)------------------------------
% 6.74/1.46 % (1106250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.46 % (1106250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.46 % (1106250)CaDiCaL version: 2.1.3
% 6.74/1.46 % (1106250)Termination reason: Instruction limit
% 6.74/1.46 % (1106250)Termination phase: Saturation
% 6.74/1.46 % (1106250)Time elapsed: 0.083 s
% 6.74/1.46 % (1106250)Peak memory usage: 14 MB
% 6.74/1.46 % (1106250)Instructions burned: 132 (million)
% 6.74/1.46 % (1106261)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3192937297:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.74/1.46 % (1106251)Instruction limit reached!
% 6.74/1.46 % (1106251)------------------------------
% 6.74/1.46 % (1106251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.46 % (1106251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.74/1.46 % (1106251)CaDiCaL version: 2.1.3
% 6.74/1.46 % (1106251)Termination reason: Instruction limit
% 6.74/1.46 % (1106251)Termination phase: Saturation
% 6.74/1.46 % (1106251)Time elapsed: 0.091 s
% 6.74/1.46 % (1106251)Peak memory usage: 15 MB
% 6.74/1.46 % (1106251)Instructions burned: 159 (million)
% 6.74/1.46 % (1106262)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=3187850897:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.74/1.46 % (1106264)ott-21_1_sil=16000:fs=off:random_seed=2579423587:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.74/1.46 % (1106261)Instruction limit reached!
% 6.74/1.46 % (1106261)------------------------------
% 6.74/1.46 % (1106261)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.74/1.46 % (1106261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106261)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106261)Termination reason: Instruction limit
% 8.03/3.14 % (1106261)Termination phase: Saturation
% 8.03/3.14 % (1106261)Time elapsed: 0.086 s
% 8.03/3.14 % (1106261)Peak memory usage: 14 MB
% 8.03/3.14 % (1106261)Instructions burned: 132 (million)
% 8.03/3.14 % (1106259)Instruction limit reached!
% 8.03/3.14 % (1106259)------------------------------
% 8.03/3.14 % (1106259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106259)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106259)Termination reason: Instruction limit
% 8.03/3.14 % (1106259)Termination phase: Finite model building constraint generation
% 8.03/3.14 % (1106259)Time elapsed: 0.133 s
% 8.03/3.14 % (1106259)Peak memory usage: 24 MB
% 8.03/3.14 % (1106259)Instructions burned: 721 (million)
% 8.03/3.14 % (1106268)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1577561274:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.03/3.14 % TRYING [1]
% 8.03/3.14 % TRYING [2]
% 8.03/3.14 % (1106267)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3564818031:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.03/3.14 % (1106264)Instruction limit reached!
% 8.03/3.14 % (1106264)------------------------------
% 8.03/3.14 % (1106264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106264)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106264)Termination reason: Instruction limit
% 8.03/3.14 % (1106264)Termination phase: Saturation
% 8.03/3.14 % (1106264)Time elapsed: 0.096 s
% 8.03/3.14 % (1106264)Peak memory usage: 13 MB
% 8.03/3.14 % (1106264)Instructions burned: 181 (million)
% 8.03/3.14 % TRYING [3]
% 8.03/3.14 % (1106271)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=8583972:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.03/3.14 % (1106268)Instruction limit reached!
% 8.03/3.14 % (1106268)------------------------------
% 8.03/3.14 % (1106268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106268)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106268)Termination reason: Instruction limit
% 8.03/3.14 % (1106268)Termination phase: Finite model building constraint generation
% 8.03/3.14 % (1106268)Time elapsed: 0.173 s
% 8.03/3.14 % (1106268)Peak memory usage: 50 MB
% 8.03/3.14 % (1106268)Instructions burned: 869 (million)
% 8.03/3.14 % (1106273)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2277609610:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 8.03/3.14 % (1106273)Cannot represent all propositional literals internally
% 8.03/3.14 % (1106273)Refutation not found, incomplete strategy
% 8.03/3.14 % (1106273)------------------------------
% 8.03/3.14 % (1106273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106273)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106273)Termination reason: Refutation not found, incomplete strategy
% 8.03/3.14 % (1106273)Time elapsed: 0.003 s
% 8.03/3.14 % (1106273)Peak memory usage: 10 MB
% 8.03/3.14 % (1106273)Instructions burned: 12 (million)
% 8.03/3.14 % (1106273)------------------------------
% 8.03/3.14 % (1106273)------------------------------
% 8.03/3.14 % (1106275)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=1839137329: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)
% 8.03/3.14 % (1106267)Instruction limit reached!
% 8.03/3.14 % (1106267)------------------------------
% 8.03/3.14 % (1106267)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106267)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106267)Termination reason: Instruction limit
% 8.03/3.14 % (1106267)Termination phase: Saturation
% 8.03/3.14 % (1106267)Time elapsed: 0.289 s
% 8.03/3.14 % (1106267)Peak memory usage: 14 MB
% 8.03/3.14 % (1106267)Instructions burned: 477 (million)
% 8.03/3.14 % (1106277)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=783068527:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.03/3.14 % (1106262)Instruction limit reached!
% 8.03/3.14 % (1106262)------------------------------
% 8.03/3.14 % (1106262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106262)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106262)Termination reason: Instruction limit
% 8.03/3.14 % (1106262)Termination phase: Saturation
% 8.03/3.14 % (1106262)Time elapsed: 0.406 s
% 8.03/3.14 % (1106262)Peak memory usage: 18 MB
% 8.03/3.14 % (1106262)Instructions burned: 684 (million)
% 8.03/3.14 % (1106279)fmb+10_1_sil=64000:random_seed=1731177201:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.03/3.14 % TRYING [1]
% 8.03/3.14 % TRYING [2]
% 8.03/3.14 % (1106275)Instruction limit reached!
% 8.03/3.14 % (1106275)------------------------------
% 8.03/3.14 % (1106275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106275)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106275)Termination reason: Instruction limit
% 8.03/3.14 % (1106275)Termination phase: Saturation
% 8.03/3.14 % (1106275)Time elapsed: 0.217 s
% 8.03/3.14 % (1106275)Peak memory usage: 20 MB
% 8.03/3.14 % (1106275)Instructions burned: 695 (million)
% 8.03/3.14 % (1106281)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1580497069:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 8.03/3.14 % (1106281)Cannot represent all propositional literals internally
% 8.03/3.14 % (1106281)Refutation not found, incomplete strategy
% 8.03/3.14 % (1106281)------------------------------
% 8.03/3.14 % (1106281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106281)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106281)Termination reason: Refutation not found, incomplete strategy
% 8.03/3.14 % (1106281)Time elapsed: 0.003 s
% 8.03/3.14 % (1106281)Peak memory usage: 10 MB
% 8.03/3.14 % (1106281)Instructions burned: 12 (million)
% 8.03/3.14 % (1106281)------------------------------
% 8.03/3.14 % (1106281)------------------------------
% 8.03/3.14 % TRYING [3]
% 8.03/3.14 % (1106283)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2893968108:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 8.03/3.14 % TRYING [8]
% 8.03/3.14 % (1106283)Instruction limit reached!
% 8.03/3.14 % (1106283)------------------------------
% 8.03/3.14 % (1106283)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106283)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106283)Termination reason: Instruction limit
% 8.03/3.14 % (1106283)Termination phase: Finite model building constraint generation
% 8.03/3.14 % (1106283)Time elapsed: 0.152 s
% 8.03/3.14 % (1106283)Peak memory usage: 45 MB
% 8.03/3.14 % (1106283)Instructions burned: 921 (million)
% 8.03/3.14 % (1106285)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3267012531:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 8.03/3.14 % (1106271)Instruction limit reached!
% 8.03/3.14 % (1106271)------------------------------
% 8.03/3.14 % (1106271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106271)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106271)Termination reason: Instruction limit
% 8.03/3.14 % (1106271)Termination phase: Saturation
% 8.03/3.14 % (1106271)Time elapsed: 0.694 s
% 8.03/3.14 % (1106271)Peak memory usage: 24 MB
% 8.03/3.14 % (1106271)Instructions burned: 1179 (million)
% 8.03/3.14 % (1106287)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1906107819:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 8.03/3.14 % (1106277)Instruction limit reached!
% 8.03/3.14 % (1106277)------------------------------
% 8.03/3.14 % (1106277)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106277)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106277)Termination reason: Instruction limit
% 8.03/3.14 % (1106277)Termination phase: Saturation
% 8.03/3.14 % (1106277)Time elapsed: 0.483 s
% 8.03/3.14 % (1106277)Peak memory usage: 18 MB
% 8.03/3.14 % (1106277)Instructions burned: 880 (million)
% 8.03/3.14 % (1106289)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2467366380:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 8.03/3.14 % (1106289)Cannot represent all propositional literals internally
% 8.03/3.14 % (1106289)Refutation not found, incomplete strategy
% 8.03/3.14 % (1106289)------------------------------
% 8.03/3.14 % (1106289)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106289)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106289)Termination reason: Refutation not found, incomplete strategy
% 8.03/3.14 % (1106289)Time elapsed: 0.008 s
% 8.03/3.14 % (1106289)Peak memory usage: 11 MB
% 8.03/3.14 % (1106289)Instructions burned: 15 (million)
% 8.03/3.14 % (1106289)------------------------------
% 8.03/3.14 % (1106289)------------------------------
% 8.03/3.14 % (1106291)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3300698656:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 8.03/3.14 % (1106291)Cannot represent all propositional literals internally
% 8.03/3.14 % (1106291)Refutation not found, incomplete strategy
% 8.03/3.14 % (1106291)------------------------------
% 8.03/3.14 % (1106291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106291)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106291)Termination reason: Refutation not found, incomplete strategy
% 8.03/3.14 % (1106291)Time elapsed: 0.082 s
% 8.03/3.14 % (1106291)Peak memory usage: 12 MB
% 8.03/3.14 % (1106291)Instructions burned: 166 (million)
% 8.03/3.14 % (1106291)------------------------------
% 8.03/3.14 % (1106291)------------------------------
% 8.03/3.14 % (1106293)ott-2_1_sil=16000:newcnf=on:random_seed=2799624876:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 8.03/3.14 % (1106293)Instruction limit reached!
% 8.03/3.14 % (1106293)------------------------------
% 8.03/3.14 % (1106293)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106293)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106293)Termination reason: Instruction limit
% 8.03/3.14 % (1106293)Termination phase: Saturation
% 8.03/3.14 % (1106293)Time elapsed: 0.525 s
% 8.03/3.14 % (1106293)Peak memory usage: 18 MB
% 8.03/3.14 % (1106293)Instructions burned: 870 (million)
% 8.03/3.14 % (1106295)ott+10_1_sil=32000:tgt=ground:random_seed=1507039207:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 8.03/3.14 % (1106287)Instruction limit reached!
% 8.03/3.14 % (1106287)------------------------------
% 8.03/3.14 % (1106287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106287)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106287)Termination reason: Instruction limit
% 8.03/3.14 % (1106287)Termination phase: Saturation
% 8.03/3.14 % (1106287)Time elapsed: 1.007 s
% 8.03/3.14 % (1106287)Peak memory usage: 34 MB
% 8.03/3.14 % (1106287)Instructions burned: 1472 (million)
% 8.03/3.14 % (1106297)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3426926669:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 8.03/3.14 % TRYING [1]
% 8.03/3.14 % TRYING [2]
% 8.03/3.14 % TRYING [3]
% 8.03/3.14 % (1106285)Instruction limit reached!
% 8.03/3.14 % (1106285)------------------------------
% 8.03/3.14 % (1106285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106285)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106285)Termination reason: Instruction limit
% 8.03/3.14 % (1106285)Termination phase: Saturation
% 8.03/3.14 % (1106285)Time elapsed: 1.759 s
% 8.03/3.14 % (1106285)Peak memory usage: 35 MB
% 8.03/3.14 % (1106285)Instructions burned: 5133 (million)
% 8.03/3.14 % (1106299)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=554906953:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 8.03/3.14 % (1106295) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1106240-1106295"...
% 8.03/3.14 % (1106295)...printing done.
% 8.03/3.14 % (1106295)Refutation found. Thanks to Tanya!
% 8.03/3.14 % SZS status Theorem for theBenchmark
% 8.03/3.14 % SZS output start Proof for theBenchmark
% See solution above
% 8.03/3.14 % (1106295)------------------------------
% 8.03/3.14 % (1106295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.03/3.14 % (1106295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.03/3.14 % (1106295)CaDiCaL version: 2.1.3
% 8.03/3.14 % (1106295)Termination reason: Refutation
% 8.03/3.14 % (1106295)Time elapsed: 0.960 s
% 8.03/3.14 % (1106295)Peak memory usage: 27 MB
% 8.03/3.14 % (1106295)Instructions burned: 1499 (million)
% 8.03/3.14 % (1106240)Success in time 2.717 s
% 8.03/3.14 % Vampire exiting
%------------------------------------------------------------------------------