%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:45 AM UTC 2026
% Result : Theorem 7.38s 3.93s
% Output : Refutation 7.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 34
% Syntax : Number of formulae : 224 ( 48 unt; 0 def)
% Number of atoms : 543 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 551 ( 232 ~; 234 |; 50 &)
% ( 0 <=>; 35 =>; 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 : 8 ( 8 usr; 7 con; 0-5 aty)
% Number of variables : 835 ( 818 !; 17 ?)
% 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(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(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(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X1,X2,X3)
& coll(X4,X0,X2)
& coll(X4,X1,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f73,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
& ~ perp(X0,X1,X2,X3) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD72) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& para(X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& perp(X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X2,X2,X1)
& coll(X1,X3,X4) )
=> ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) )
=> para(X0,X3,X1,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214034) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) )
=> para(X0,X3,X1,X5) ),
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(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(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(f195,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f206,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f73]) ).
fof(f207,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(flattening,[],[f210]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X0,X3,X1,X5)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X0,X3,X1,X5)
& perp(X0,X1,X2,X3)
& perp(X0,X2,X1,X3)
& perp(X1,X2,X0,X3)
& perp(X2,X3,X3,X5)
& circle(X4,X3,X1,X2)
& circle(X4,X1,X5,X6) ),
inference(flattening,[],[f249]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(sK16(X0,X1,X2,X3,X4),X3,X4)
& perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( ~ para(sK20,sK23,sK21,sK25)
& perp(sK20,sK21,sK22,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK21,sK22,sK20,sK23)
& perp(sK22,sK23,sK23,sK25)
& circle(sK24,sK23,sK21,sK22)
& circle(sK24,sK21,sK25,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(f336,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f343,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f207]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f211]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f386,plain,
perp(sK22,sK23,sK23,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK21,sK22,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK20,sK22,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK20,sK23,sK21,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK22,sK23,sK25,sK23),
inference(resolution,[],[f277,f386]) ).
fof(f397,plain,
perp(sK25,sK23,sK22,sK23),
inference(resolution,[],[f278,f391]) ).
fof(f398,plain,
perp(sK20,sK23,sK21,sK22),
inference(resolution,[],[f278,f387]) ).
fof(f399,plain,
perp(sK21,sK23,sK20,sK22),
inference(resolution,[],[f278,f388]) ).
fof(f400,plain,
perp(sK22,sK23,sK20,sK21),
inference(resolution,[],[f278,f389]) ).
fof(f409,plain,
! [X2,X0,X1] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f293,f339]) ).
fof(f500,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f279,f389]) ).
fof(f505,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK22)
| para(X0,X1,sK20,sK23) ),
inference(resolution,[],[f279,f387]) ).
fof(f507,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f399]) ).
fof(f512,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK23,sK25) ),
inference(resolution,[],[f279,f386]) ).
fof(f634,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(f643,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1) ),
inference(resolution,[],[f290,f310]) ).
fof(f645,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f652,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(f935,plain,
! [X0,X1] :
( perp(sK16(sK22,sK25,sK23,X0,X1),sK22,X0,X1)
| ~ coll(sK25,X0,X1) ),
inference(resolution,[],[f377,f386]) ).
fof(f1127,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X1,X1,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| cong(X4,X0,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f336,f346]) ).
fof(f1238,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X6)
| eqangle(X0,X1,X2,X3,X7,X5,X7,X6)
| ~ cyclic(X5,X6,X4,X7) ),
inference(resolution,[],[f292,f311]) ).
fof(f1240,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X5,X6)
| eqangle(X0,X1,X2,X3,X5,X6,X4,X6)
| ~ cong(X4,X5,X4,X6) ),
inference(resolution,[],[f292,f317]) ).
fof(f1327,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(f1333,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,[],[f1327]) ).
fof(f1426,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f500,f400]) ).
fof(f1434,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f505,f398]) ).
fof(f1446,plain,
para(sK25,sK23,sK23,sK25),
inference(resolution,[],[f512,f397]) ).
fof(f1519,plain,
! [X2,X3,X0,X1] :
( ~ perp(X2,X3,sK16(sK22,sK25,sK23,X0,X1),sK22)
| ~ coll(sK25,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[],[f935,f279]) ).
fof(f1594,plain,
! [X2,X0,X1] :
( ~ cong(X0,X2,X1,X2)
| ~ midp(X0,X0,X1)
| perp(X0,X1,X2,X0) ),
inference(resolution,[],[f409,f327]) ).
fof(f1630,plain,
para(sK25,sK23,sK25,sK23),
inference(resolution,[],[f1446,f274]) ).
fof(f1927,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f634,f309]) ).
fof(f2020,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f643,f344]) ).
fof(f2077,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| perp(X1,X2,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(resolution,[],[f645,f345]) ).
fof(f2106,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X4,X5,X4,X5)
| perp(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f652,f345]) ).
fof(f2112,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f652,f313]) ).
fof(f2113,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f652,f312]) ).
fof(f2123,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2112,f2113]) ).
fof(f3906,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ coll(X0,X0,X3)
| cong(X0,X1,X1,X2)
| ~ para(X1,X0,X2,X3)
| ~ midp(X0,X0,X3) ),
inference(resolution,[],[f1127,f339]) ).
fof(f3936,plain,
! [X2,X3,X0,X1] :
( ~ para(X1,X0,X2,X3)
| cong(X0,X1,X1,X2)
| ~ coll(X0,X1,X2)
| ~ midp(X0,X0,X3) ),
inference(forward_subsumption_resolution,[],[f3906,f340]) ).
fof(f4147,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X1,X4,X5)
| ~ cyclic(X1,X5,X0,X4)
| ~ para(X2,X3,X0,X5) ),
inference(resolution,[],[f1238,f634]) ).
fof(f4181,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X2,X3,X1,X4,X0,X4)
| ~ cong(X0,X1,X0,X4)
| ~ para(X2,X3,X1,X4) ),
inference(resolution,[],[f1240,f634]) ).
fof(f6432,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f507,f388]) ).
fof(f12943,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1927,f1630]) ).
fof(f12946,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f12943,f337]) ).
fof(f13008,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f12946,f272]) ).
fof(f13179,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13008,f271]) ).
fof(f13317,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f2123,f12943]) ).
fof(f13323,plain,
! [X0] : cyclic(sK23,sK23,sK20,X0),
inference(resolution,[],[f2123,f1434]) ).
fof(f13325,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(resolution,[],[f2123,f6432]) ).
fof(f13331,plain,
! [X0] : cyclic(sK23,sK23,sK22,X0),
inference(resolution,[],[f2123,f1426]) ).
fof(f13340,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f13179,f273]) ).
fof(f13373,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f13340,f13179]) ).
fof(f14955,plain,
! [X0,X1] :
( ~ cyclic(sK23,sK23,sK20,X0)
| cyclic(sK23,sK20,X0,X1) ),
inference(resolution,[],[f13323,f287]) ).
fof(f14964,plain,
( ~ cyclic(sK23,sK23,sK20,sK23)
| ~ cyclic(sK23,sK23,sK20,sK23)
| cong(sK23,sK23,sK23,sK23) ),
inference(resolution,[],[f13323,f1333]) ).
fof(f14970,plain,
( ~ cyclic(sK23,sK23,sK20,sK23)
| cong(sK23,sK23,sK23,sK23) ),
inference(duplicate_literal_removal,[],[f14964]) ).
fof(f14971,plain,
cong(sK23,sK23,sK23,sK23),
inference(forward_subsumption_resolution,[],[f14970,f13317]) ).
fof(f14975,plain,
! [X0,X1] : cyclic(sK23,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f14955,f13317]) ).
fof(f15024,plain,
! [X0] : cyclic(sK23,sK22,sK23,X0),
inference(resolution,[],[f13331,f285]) ).
fof(f15026,plain,
! [X0,X1] :
( ~ cyclic(sK23,sK23,sK22,X0)
| cyclic(sK23,sK22,X0,X1) ),
inference(resolution,[],[f13331,f287]) ).
fof(f15045,plain,
! [X0,X1] : cyclic(sK23,sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f15026,f13317]) ).
fof(f15143,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(resolution,[],[f13325,f1333]) ).
fof(f15149,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(duplicate_literal_removal,[],[f15143]) ).
fof(f15150,plain,
cong(sK22,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f15149,f13317]) ).
fof(f15790,plain,
( midp(sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23) ),
inference(resolution,[],[f14971,f338]) ).
fof(f15816,plain,
midp(sK23,sK23,sK23),
inference(forward_subsumption_resolution,[],[f15790,f13373]) ).
fof(f16151,plain,
! [X2,X0,X1] :
( ~ cyclic(sK23,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f14975,f287]) ).
fof(f16173,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f16151,f14975]) ).
fof(f16344,plain,
( ~ cyclic(sK23,sK22,sK23,sK22)
| ~ cyclic(sK23,sK22,sK23,sK23)
| cong(sK23,sK22,sK23,sK22) ),
inference(resolution,[],[f15024,f1333]) ).
fof(f16356,plain,
( ~ cyclic(sK23,sK22,sK23,sK22)
| cong(sK23,sK22,sK23,sK22) ),
inference(forward_subsumption_resolution,[],[f16344,f15045]) ).
fof(f16362,plain,
cong(sK23,sK22,sK23,sK22),
inference(forward_subsumption_resolution,[],[f16356,f15045]) ).
fof(f17714,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22) ),
inference(resolution,[],[f15150,f338]) ).
fof(f17741,plain,
midp(sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f17714,f13373]) ).
fof(f18645,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f16173,f287]) ).
fof(f18671,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f18645,f16173]) ).
fof(f19699,plain,
cong(sK23,sK22,sK22,sK23),
inference(resolution,[],[f16362,f293]) ).
fof(f22038,plain,
cong(sK22,sK23,sK23,sK22),
inference(resolution,[],[f19699,f294]) ).
fof(f22470,plain,
cong(sK22,sK23,sK22,sK23),
inference(resolution,[],[f22038,f293]) ).
fof(f23196,plain,
( ~ midp(sK22,sK22,sK22)
| perp(sK22,sK22,sK23,sK22) ),
inference(resolution,[],[f22470,f1594]) ).
fof(f23198,plain,
perp(sK22,sK22,sK23,sK22),
inference(forward_subsumption_resolution,[],[f23196,f17741]) ).
fof(f23357,plain,
perp(sK22,sK22,sK22,sK23),
inference(resolution,[],[f23198,f277]) ).
fof(f28509,plain,
( cong(sK23,sK22,sK22,sK22)
| ~ coll(sK23,sK22,sK22)
| ~ midp(sK23,sK23,sK23) ),
inference(resolution,[],[f3936,f1426]) ).
fof(f28603,plain,
( cong(sK23,sK22,sK22,sK22)
| ~ midp(sK23,sK23,sK23) ),
inference(forward_subsumption_resolution,[],[f28509,f13373]) ).
fof(f28726,plain,
cong(sK23,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f28603,f15816]) ).
fof(f28911,plain,
cong(sK22,sK22,sK23,sK22),
inference(resolution,[],[f28726,f294]) ).
fof(f29534,plain,
cong(sK22,sK22,sK22,sK23),
inference(resolution,[],[f28911,f293]) ).
fof(f30171,plain,
( perp(sK22,sK23,sK22,sK23)
| ~ perp(sK22,sK22,sK22,sK23) ),
inference(resolution,[],[f29534,f2077]) ).
fof(f30187,plain,
perp(sK22,sK23,sK22,sK23),
inference(forward_subsumption_resolution,[],[f30171,f23357]) ).
fof(f32849,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f30187,f2106]) ).
fof(f33957,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| ~ cyclic(X0,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X3)
| cong(X0,X4,X0,X1) ),
inference(resolution,[],[f4147,f314]) ).
fof(f33972,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| ~ cyclic(X0,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f33957,f18671]) ).
fof(f33986,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| ~ cyclic(X0,X4,X2,X0)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f33972,f18671]) ).
fof(f33989,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X3)
| ~ para(X2,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f33986,f18671]) ).
fof(f33990,plain,
! [X2,X0,X1,X4] :
( ~ para(X2,X4,X2,X1)
| cong(X0,X4,X0,X1) ),
inference(forward_subsumption_resolution,[],[f33989,f18671]) ).
fof(f35258,plain,
! [X0,X1] :
( ~ cong(X0,X1,X0,X1)
| ~ para(X1,X1,X1,X1)
| para(X0,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(resolution,[],[f4181,f343]) ).
fof(f35316,plain,
! [X0,X1] :
( ~ para(X1,X1,X1,X1)
| para(X0,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f35258,f33990]) ).
fof(f35321,plain,
! [X0,X1] :
( ~ para(X1,X1,X1,X1)
| perp(X0,X1,X1,X1) ),
inference(forward_subsumption_resolution,[],[f35316,f32849]) ).
fof(f35323,plain,
! [X0,X1] : perp(X0,X1,X1,X1),
inference(forward_subsumption_resolution,[],[f35321,f12943]) ).
fof(f35349,plain,
! [X0,X1] : perp(X0,X0,X1,X0),
inference(resolution,[],[f35323,f278]) ).
fof(f35579,plain,
! [X0,X1] :
( ~ coll(sK25,X0,X1)
| para(sK22,sK22,X0,X1) ),
inference(resolution,[],[f35349,f1519]) ).
fof(f35594,plain,
! [X0,X1] : para(sK22,sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f35579,f13373]) ).
fof(f37147,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| ~ para(sK22,sK22,X0,X1) ),
inference(resolution,[],[f35594,f2020]) ).
fof(f37174,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f37147,f35594]) ).
fof(f41634,plain,
$false,
inference(resolution,[],[f37174,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO572+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:36:15 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 8.35/1.75 % (1349276)Will run a generic schedule for satisfiability detection.
% 8.35/1.75 % (1349283)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=504909488:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.35/1.75 % (1349282)% WARNING: option uhcvi not known.
% 8.35/1.75 % (1349282)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3582768731:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.35/1.75 % (1349281)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1407860951_2999 on theBenchmark for (2999ds/0Mi)
% 8.35/1.75 % (1349284)dis+10_1_sil=32000:sp=arity:random_seed=1767725750:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.35/1.75 % (1349285)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=503527805:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.35/1.75 % (1349287)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=138490706:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.35/1.75 % (1349286)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=650914777:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.35/1.75 % TRYING [1]
% 8.35/1.75 % TRYING [2]
% 8.35/1.75 % TRYING [3]
% 8.35/1.75 % (1349284)Instruction limit reached!
% 8.35/1.75 % (1349284)------------------------------
% 8.35/1.75 % (1349284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.75 % (1349284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.75 % (1349284)CaDiCaL version: 2.1.3
% 8.35/1.75 % (1349284)Termination reason: Instruction limit
% 8.35/1.75 % (1349284)Termination phase: Saturation
% 8.35/1.75 % (1349284)Time elapsed: 0.066 s
% 8.35/1.75 % (1349284)Peak memory usage: 13 MB
% 8.35/1.75 % (1349284)Instructions burned: 104 (million)
% 8.35/1.75 % (1349285)Instruction limit reached!
% 8.35/1.75 % (1349285)------------------------------
% 8.35/1.75 % (1349285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.75 % (1349285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.75 % (1349285)CaDiCaL version: 2.1.3
% 8.35/1.75 % (1349285)Termination reason: Instruction limit
% 8.35/1.75 % (1349285)Termination phase: Saturation
% 8.35/1.75 % (1349285)Time elapsed: 0.072 s
% 8.35/1.75 % (1349285)Peak memory usage: 13 MB
% 8.35/1.75 % (1349285)Instructions burned: 123 (million)
% 8.35/1.75 % (1349286)Instruction limit reached!
% 8.35/1.75 % (1349286)------------------------------
% 8.35/1.75 % (1349286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.75 % (1349286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.75 % (1349286)CaDiCaL version: 2.1.3
% 8.35/1.75 % (1349286)Termination reason: Instruction limit
% 8.35/1.75 % (1349286)Termination phase: Saturation
% 8.35/1.75 % (1349286)Time elapsed: 0.081 s
% 8.35/1.75 % (1349286)Peak memory usage: 14 MB
% 8.35/1.75 % (1349286)Instructions burned: 132 (million)
% 8.35/1.75 % (1349295)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1968819896:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.35/1.75 % (1349287)Instruction limit reached!
% 8.35/1.75 % (1349287)------------------------------
% 8.35/1.75 % (1349287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.75 % (1349287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/1.75 % (1349287)CaDiCaL version: 2.1.3
% 8.35/1.75 % (1349287)Termination reason: Instruction limit
% 8.35/1.75 % (1349287)Termination phase: Saturation
% 8.35/1.75 % (1349287)Time elapsed: 0.087 s
% 8.35/1.75 % (1349287)Peak memory usage: 13 MB
% 8.35/1.75 % (1349287)Instructions burned: 160 (million)
% 8.35/1.75 % (1349296)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3723256754:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.35/1.75 % TRYING [1]
% 8.35/1.75 % TRYING [2]
% 8.35/1.75 % (1349297)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=489712871:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.35/1.75 % (1349299)ott-21_1_sil=16000:fs=off:random_seed=536200367:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.35/1.75 % TRYING [3]
% 8.35/1.75 % (1349296)Instruction limit reached!
% 8.35/1.75 % (1349296)------------------------------
% 8.35/1.75 % (1349296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.35/1.75 % (1349296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349296)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349296)Termination reason: Instruction limit
% 7.38/3.93 % (1349296)Termination phase: Saturation
% 7.38/3.93 % (1349296)Time elapsed: 0.082 s
% 7.38/3.93 % (1349296)Peak memory usage: 15 MB
% 7.38/3.93 % (1349296)Instructions burned: 133 (million)
% 7.38/3.93 % (1349303)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1261350681:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.38/3.93 % (1349299)Instruction limit reached!
% 7.38/3.93 % (1349299)------------------------------
% 7.38/3.93 % (1349299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349299)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349299)Termination reason: Instruction limit
% 7.38/3.93 % (1349299)Termination phase: Saturation
% 7.38/3.93 % (1349299)Time elapsed: 0.094 s
% 7.38/3.93 % (1349299)Peak memory usage: 13 MB
% 7.38/3.93 % (1349299)Instructions burned: 180 (million)
% 7.38/3.93 % (1349305)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2709273998:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.38/3.93 % TRYING [1]
% 7.38/3.93 % TRYING [2]
% 7.38/3.93 % TRYING [3]
% 7.38/3.93 % (1349295)Instruction limit reached!
% 7.38/3.93 % (1349295)------------------------------
% 7.38/3.93 % (1349295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349295)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349295)Termination reason: Instruction limit
% 7.38/3.93 % (1349295)Termination phase: Finite model building constraint generation
% 7.38/3.93 % (1349295)Time elapsed: 0.248 s
% 7.38/3.93 % (1349295)Peak memory usage: 24 MB
% 7.38/3.93 % (1349295)Instructions burned: 715 (million)
% 7.38/3.93 % (1349307)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2963387034:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 7.38/3.93 % (1349303)Instruction limit reached!
% 7.38/3.93 % (1349303)------------------------------
% 7.38/3.93 % (1349303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349303)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349303)Termination reason: Instruction limit
% 7.38/3.93 % (1349303)Termination phase: Saturation
% 7.38/3.93 % (1349303)Time elapsed: 0.278 s
% 7.38/3.93 % (1349303)Peak memory usage: 14 MB
% 7.38/3.93 % (1349303)Instructions burned: 477 (million)
% 7.38/3.93 % (1349309)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1681664989:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 7.38/3.93 % (1349309)Cannot represent all propositional literals internally
% 7.38/3.93 % (1349309)Refutation not found, incomplete strategy
% 7.38/3.93 % (1349309)------------------------------
% 7.38/3.93 % (1349309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349309)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349309)Termination reason: Refutation not found, incomplete strategy
% 7.38/3.93 % (1349309)Time elapsed: 0.006 s
% 7.38/3.93 % (1349309)Peak memory usage: 10 MB
% 7.38/3.93 % (1349309)Instructions burned: 12 (million)
% 7.38/3.93 % (1349309)------------------------------
% 7.38/3.93 % (1349309)------------------------------
% 7.38/3.93 % (1349297)Instruction limit reached!
% 7.38/3.93 % (1349297)------------------------------
% 7.38/3.93 % (1349297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349297)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349297)Termination reason: Instruction limit
% 7.38/3.93 % (1349297)Termination phase: Saturation
% 7.38/3.93 % (1349297)Time elapsed: 0.402 s
% 7.38/3.93 % (1349297)Peak memory usage: 20 MB
% 7.38/3.93 % (1349297)Instructions burned: 685 (million)
% 7.38/3.93 % (1349305)Instruction limit reached!
% 7.38/3.93 % (1349305)------------------------------
% 7.38/3.93 % (1349305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349305)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349305)Termination reason: Instruction limit
% 7.38/3.93 % (1349305)Termination phase: Finite model building constraint generation
% 7.38/3.93 % (1349305)Time elapsed: 0.300 s
% 7.38/3.93 % (1349305)Peak memory usage: 50 MB
% 7.38/3.93 % (1349305)Instructions burned: 866 (million)
% 7.38/3.93 % (1349311)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=2560142974: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)
% 7.38/3.93 % (1349312)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=75000604:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.38/3.93 % (1349315)fmb+10_1_sil=64000:random_seed=1545461216:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 7.38/3.93 % TRYING [1]
% 7.38/3.93 % TRYING [2]
% 7.38/3.93 % TRYING [3]
% 7.38/3.93 % (1349311)Instruction limit reached!
% 7.38/3.93 % (1349311)------------------------------
% 7.38/3.93 % (1349311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349311)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349311)Termination reason: Instruction limit
% 7.38/3.93 % (1349311)Termination phase: Saturation
% 7.38/3.93 % (1349311)Time elapsed: 0.408 s
% 7.38/3.93 % (1349311)Peak memory usage: 24 MB
% 7.38/3.93 % (1349311)Instructions burned: 692 (million)
% 7.38/3.93 % (1349317)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=210285636:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 7.38/3.93 % (1349317)Cannot represent all propositional literals internally
% 7.38/3.93 % (1349317)Refutation not found, incomplete strategy
% 7.38/3.93 % (1349317)------------------------------
% 7.38/3.93 % (1349317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349317)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349317)Termination reason: Refutation not found, incomplete strategy
% 7.38/3.93 % (1349317)Time elapsed: 0.006 s
% 7.38/3.93 % (1349317)Peak memory usage: 10 MB
% 7.38/3.93 % (1349317)Instructions burned: 12 (million)
% 7.38/3.93 % (1349317)------------------------------
% 7.38/3.93 % (1349317)------------------------------
% 7.38/3.93 % (1349319)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3711444371:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 7.38/3.93 % TRYING [8]
% 7.38/3.93 % (1349312)Instruction limit reached!
% 7.38/3.93 % (1349312)------------------------------
% 7.38/3.93 % (1349312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349312)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349312)Termination reason: Instruction limit
% 7.38/3.93 % (1349312)Termination phase: Saturation
% 7.38/3.93 % (1349312)Time elapsed: 0.486 s
% 7.38/3.93 % (1349312)Peak memory usage: 18 MB
% 7.38/3.93 % (1349312)Instructions burned: 881 (million)
% 7.38/3.93 % (1349321)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2016587285:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 7.38/3.93 % (1349307)Instruction limit reached!
% 7.38/3.93 % (1349307)------------------------------
% 7.38/3.93 % (1349307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349307)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349307)Termination reason: Instruction limit
% 7.38/3.93 % (1349307)Termination phase: Saturation
% 7.38/3.93 % (1349307)Time elapsed: 0.703 s
% 7.38/3.93 % (1349307)Peak memory usage: 22 MB
% 7.38/3.93 % (1349307)Instructions burned: 1180 (million)
% 7.38/3.93 % (1349323)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1993498678:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 7.38/3.93 % (1349319)Instruction limit reached!
% 7.38/3.93 % (1349319)------------------------------
% 7.38/3.93 % (1349319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349319)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349319)Termination reason: Instruction limit
% 7.38/3.93 % (1349319)Termination phase: Finite model building constraint generation
% 7.38/3.93 % (1349319)Time elapsed: 0.287 s
% 7.38/3.93 % (1349319)Peak memory usage: 45 MB
% 7.38/3.93 % (1349319)Instructions burned: 921 (million)
% 7.38/3.93 % (1349325)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3717127321:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 7.38/3.93 % (1349325)Cannot represent all propositional literals internally
% 7.38/3.93 % (1349325)Refutation not found, incomplete strategy
% 7.38/3.93 % (1349325)------------------------------
% 7.38/3.93 % (1349325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349325)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349325)Termination reason: Refutation not found, incomplete strategy
% 7.38/3.93 % (1349325)Time elapsed: 0.008 s
% 7.38/3.93 % (1349325)Peak memory usage: 11 MB
% 7.38/3.93 % (1349325)Instructions burned: 15 (million)
% 7.38/3.93 % (1349325)------------------------------
% 7.38/3.93 % (1349325)------------------------------
% 7.38/3.93 % (1349327)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3253378680:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 7.38/3.93 % (1349327)Cannot represent all propositional literals internally
% 7.38/3.93 % (1349327)Refutation not found, incomplete strategy
% 7.38/3.93 % (1349327)------------------------------
% 7.38/3.93 % (1349327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349327)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349327)Termination reason: Refutation not found, incomplete strategy
% 7.38/3.93 % (1349327)Time elapsed: 0.083 s
% 7.38/3.93 % (1349327)Peak memory usage: 12 MB
% 7.38/3.93 % (1349327)Instructions burned: 166 (million)
% 7.38/3.93 % (1349327)------------------------------
% 7.38/3.93 % (1349327)------------------------------
% 7.38/3.93 % (1349331)ott-2_1_sil=16000:newcnf=on:random_seed=1985559713:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 7.38/3.93 % (1349331)Instruction limit reached!
% 7.38/3.93 % (1349331)------------------------------
% 7.38/3.93 % (1349331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349331)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349331)Termination reason: Instruction limit
% 7.38/3.93 % (1349331)Termination phase: Saturation
% 7.38/3.93 % (1349331)Time elapsed: 0.541 s
% 7.38/3.93 % (1349331)Peak memory usage: 16 MB
% 7.38/3.93 % (1349331)Instructions burned: 869 (million)
% 7.38/3.93 % (1349333)ott+10_1_sil=32000:tgt=ground:random_seed=761803128:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 7.38/3.93 % (1349323)Instruction limit reached!
% 7.38/3.93 % (1349323)------------------------------
% 7.38/3.93 % (1349323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349323)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349323)Termination reason: Instruction limit
% 7.38/3.93 % (1349323)Termination phase: Saturation
% 7.38/3.93 % (1349323)Time elapsed: 0.960 s
% 7.38/3.93 % (1349323)Peak memory usage: 32 MB
% 7.38/3.93 % (1349323)Instructions burned: 1473 (million)
% 7.38/3.93 % (1349335)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2618370807:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 7.38/3.93 % TRYING [1]
% 7.38/3.93 % TRYING [2]
% 7.38/3.93 % TRYING [3]
% 7.38/3.93 % TRYING [4]
% 7.38/3.93 % (1349333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1349276-1349333"...
% 7.38/3.93 % (1349333)...printing done.
% 7.38/3.93 % (1349333)Refutation found. Thanks to Tanya!
% 7.38/3.93 % SZS status Theorem for theBenchmark
% 7.38/3.93 % SZS output start Proof for theBenchmark
% See solution above
% 7.38/3.93 % (1349333)------------------------------
% 7.38/3.93 % (1349333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.38/3.93 % (1349333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.38/3.93 % (1349333)CaDiCaL version: 2.1.3
% 7.38/3.93 % (1349333)Termination reason: Refutation
% 7.38/3.93 % (1349333)Time elapsed: 1.431 s
% 7.38/3.93 % (1349333)Peak memory usage: 31 MB
% 7.38/3.93 % (1349333)Instructions burned: 2255 (million)
% 7.38/3.93 % (1349276)Success in time 3.505 s
% 7.38/3.93 % Vampire exiting
%------------------------------------------------------------------------------