%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO633+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:55 AM UTC 2026
% Result : Theorem 6.11s 1.34s
% Output : Refutation 6.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 42
% Syntax : Number of formulae : 266 ( 32 unt; 8 def)
% Number of atoms : 707 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 785 ( 344 ~; 337 |; 61 &)
% ( 8 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 9 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-5 aty)
% Number of variables : 853 ( 0 sgn 834 !; 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(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(f12,axiom,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X1)
& cong(X3,X0,X3,X2) )
=> circle(X3,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(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(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( circle(X3,X0,X1,X2)
& perp(X3,X0,X0,X4) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( circle(X3,X0,X1,X2)
& coll(X3,X0,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3)
& cyclic(X0,X1,X2,X3) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) )
=> perp(X6,X7,X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) )
=> perp(X6,X7,X0,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X1)
| ~ cong(X3,X0,X3,X2) ),
inference(flattening,[],[f113]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(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(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(f164,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4) ),
inference(flattening,[],[f164]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(flattening,[],[f174]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f182]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
fof(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(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(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,X7] :
( ~ perp(X6,X7,X0,X4)
& midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X7,X0,X4)
& midp(X3,X2,X1)
& eqangle(X4,X0,X0,X1,X2,X0,X0,X3)
& coll(X4,X1,X2)
& coll(X5,X0,X3)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X5,X0,X2)
& coll(X7,X0,X2) ),
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,
( ~ perp(sK26,sK27,sK20,sK24)
& midp(sK23,sK22,sK21)
& eqangle(sK24,sK20,sK20,sK21,sK22,sK20,sK20,sK23)
& coll(sK24,sK21,sK22)
& coll(sK25,sK20,sK23)
& perp(sK26,sK25,sK20,sK21)
& coll(sK26,sK20,sK21)
& perp(sK27,sK25,sK20,sK22)
& coll(sK27,sK20,sK22) ),
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(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f282,plain,
! [X2,X3,X0,X1] :
( ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1)
| circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f114]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(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(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(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(f319,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ circle(X3,X0,X1,X2)
| ~ perp(X3,X0,X0,X4) ),
inference(cnf_transformation,[],[f165]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(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] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
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(f377,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f391,plain,
midp(sK23,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ perp(sK26,sK27,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f405,plain,
midp(sK23,sK21,sK22),
inference(resolution,[],[f281,f391]) ).
fof(f408,plain,
coll(sK23,sK22,sK21),
inference(resolution,[],[f340,f391]) ).
fof(f413,plain,
cong(sK23,sK22,sK23,sK21),
inference(resolution,[],[f339,f391]) ).
fof(f422,plain,
cong(sK23,sK21,sK23,sK22),
inference(resolution,[],[f405,f339]) ).
fof(f445,plain,
! [X0] :
( ~ coll(sK23,sK22,X0)
| coll(X0,sK21,sK23) ),
inference(resolution,[],[f273,f408]) ).
fof(f468,plain,
! [X0,X1] :
( ~ midp(sK23,X0,X1)
| para(X0,sK22,X1,sK21) ),
inference(resolution,[],[f334,f391]) ).
fof(f469,plain,
! [X0,X1] :
( ~ midp(sK23,X0,X1)
| para(X0,sK21,X1,sK22) ),
inference(resolution,[],[f334,f405]) ).
fof(f589,plain,
! [X0] :
( ~ cong(sK23,sK22,sK23,X0)
| circle(sK23,sK22,X0,sK21) ),
inference(resolution,[],[f282,f413]) ).
fof(f594,plain,
! [X0,X1] :
( ~ cong(X0,X1,sK23,sK22)
| cong(X0,X1,sK23,sK21) ),
inference(resolution,[],[f295,f413]) ).
fof(f665,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f288,f310]) ).
fof(f666,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f288,f311]) ).
fof(f684,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(f685,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f689,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(f694,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(f962,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X1,X4,X3,X1,X1,X2,X3,X2)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f319,f291]) ).
fof(f964,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X1,X2,X1,X4,X3,X2,X3,X1)
| ~ perp(X0,X1,X1,X4)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f319,f289]) ).
fof(f1133,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ perp(X5,X6,sK16(X0,X2,X1,X3,X4),X0)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2)
| para(X5,X6,X3,X4) ),
inference(resolution,[],[f377,f279]) ).
fof(f1288,plain,
coll(sK21,sK21,sK23),
inference(resolution,[],[f445,f408]) ).
fof(f1294,plain,
coll(sK21,sK23,sK21),
inference(resolution,[],[f1288,f271]) ).
fof(f1306,plain,
coll(sK23,sK21,sK21),
inference(resolution,[],[f1294,f272]) ).
fof(f1347,plain,
para(sK21,sK22,sK22,sK21),
inference(resolution,[],[f468,f405]) ).
fof(f1402,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[],[f1347,f274]) ).
fof(f1652,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f665,f309]) ).
fof(f1679,plain,
! [X2,X3,X0,X1] :
( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f666,f290]) ).
fof(f1726,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f684,f309]) ).
fof(f1733,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X4,X5,X2,X3)
| perp(X4,X5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f684,f345]) ).
fof(f1740,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f684,f313]) ).
fof(f1753,definition,
( spl28_98
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl28_98])],[avatar_definition]) ).
fof(f1754,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl28_98 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1756,definition,
( spl28_99
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl28_99])],[avatar_definition]) ).
fof(f1757,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl28_99 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1758,plain,
( spl28_98
| spl28_99 ),
inference(avatar_split_clause,[],[f1726,f1756,f1753]) ).
fof(f1759,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X1,X2,X1) ),
inference(resolution,[],[f685,f309]) ).
fof(f1836,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f689,f344]) ).
fof(f1837,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,X4,X5)
| perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f689,f345]) ).
fof(f1942,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X4,X5) ),
inference(resolution,[],[f694,f345]) ).
fof(f1948,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f694,f313]) ).
fof(f1949,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f694,f312]) ).
fof(f1959,plain,
( ! [X2,X0,X1] :
( coll(X0,X2,X1)
| cyclic(X1,X1,X0,X2) )
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f1949,f1754]) ).
fof(f1960,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f1948,f1754]) ).
fof(f1963,definition,
( spl28_102
<=> ! [X4,X5] : ~ perp(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[spl28_102])],[avatar_definition]) ).
fof(f1964,plain,
( ! [X4,X5] : ~ perp(X4,X5,X4,X5)
| ~ spl28_102 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f1966,definition,
( spl28_103
<=> ! [X0,X3,X2,X1] :
( ~ para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl28_103])],[avatar_definition]) ).
fof(f1967,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) )
| ~ spl28_103 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f1968,plain,
( spl28_102
| spl28_103 ),
inference(avatar_split_clause,[],[f1942,f1966,f1963]) ).
fof(f1969,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f1960,f1959]) ).
fof(f2014,definition,
( spl28_105
<=> coll(sK21,sK21,sK22) ),
introduced(definition,[new_symbols(definition,[spl28_105])],[avatar_definition]) ).
fof(f2015,plain,
( ~ coll(sK21,sK21,sK22)
| spl28_105 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2016,plain,
( coll(sK21,sK21,sK22)
| ~ spl28_105 ),
inference(avatar_component_clause,[],[f2014]) ).
fof(f2100,definition,
( spl28_114
<=> perp(sK21,sK22,sK22,sK21) ),
introduced(definition,[new_symbols(definition,[spl28_114])],[avatar_definition]) ).
fof(f2101,plain,
( ~ perp(sK21,sK22,sK22,sK21)
| spl28_114 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2102,plain,
( perp(sK21,sK22,sK22,sK21)
| ~ spl28_114 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f2625,plain,
! [X2,X3,X0,X1,X4] :
( ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2)
| para(X1,X2,X4,X1)
| ~ para(X1,X3,X4,X3) ),
inference(resolution,[],[f962,f344]) ).
fof(f2687,plain,
! [X2,X3,X0,X1,X4] :
( ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2)
| perp(X1,X3,X1,X2)
| ~ perp(X4,X3,X4,X1) ),
inference(resolution,[],[f964,f345]) ).
fof(f4572,plain,
circle(sK23,sK22,sK21,sK21),
inference(resolution,[],[f589,f413]) ).
fof(f4577,plain,
cong(sK23,sK21,sK23,sK21),
inference(resolution,[],[f594,f422]) ).
fof(f6012,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl28_98 ),
inference(resolution,[],[f1969,f287]) ).
fof(f6052,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f6012,f1969]) ).
fof(f6561,plain,
( perp(sK22,sK21,sK21,sK21)
| ~ coll(sK23,sK22,sK21) ),
inference(resolution,[],[f4572,f324]) ).
fof(f6588,definition,
( spl28_244
<=> para(sK21,sK22,sK21,sK21) ),
introduced(definition,[new_symbols(definition,[spl28_244])],[avatar_definition]) ).
fof(f6589,plain,
( para(sK21,sK22,sK21,sK21)
| ~ spl28_244 ),
inference(avatar_component_clause,[],[f6588]) ).
fof(f6590,plain,
( ~ para(sK21,sK22,sK21,sK21)
| spl28_244 ),
inference(avatar_component_clause,[],[f6588]) ).
fof(f6592,plain,
perp(sK22,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f6561,f408]) ).
fof(f6616,plain,
( midp(sK23,sK21,sK21)
| ~ coll(sK23,sK21,sK21) ),
inference(resolution,[],[f4577,f338]) ).
fof(f6679,plain,
midp(sK23,sK21,sK21),
inference(forward_subsumption_resolution,[],[f6616,f1306]) ).
fof(f6772,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f1679,f314]) ).
fof(f6784,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f6772]) ).
fof(f6785,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) )
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f6784,f6052]) ).
fof(f6796,plain,
( ! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cong(X0,X1,X0,X1) )
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f6785,f6052]) ).
fof(f6798,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f6796,f6052]) ).
fof(f6799,plain,
para(sK21,sK21,sK21,sK22),
inference(resolution,[],[f6679,f469]) ).
fof(f6800,plain,
para(sK21,sK22,sK21,sK21),
inference(resolution,[],[f6679,f468]) ).
fof(f6889,plain,
( $false
| spl28_244 ),
inference(forward_subsumption_resolution,[],[f6800,f6590]) ).
fof(f6890,plain,
spl28_244,
inference(avatar_contradiction_clause,[],[f6889]) ).
fof(f7236,plain,
! [X0] :
( cyclic(X0,sK22,sK21,sK21)
| ~ coll(sK21,sK21,sK22) ),
inference(resolution,[],[f1740,f1402]) ).
fof(f7827,plain,
( para(sK22,sK21,sK21,sK21)
| ~ spl28_244 ),
inference(resolution,[],[f6589,f1652]) ).
fof(f7844,plain,
perp(sK21,sK21,sK22,sK21),
inference(resolution,[],[f6592,f278]) ).
fof(f7861,definition,
( spl28_258
<=> perp(sK21,sK21,sK22,sK21) ),
introduced(definition,[new_symbols(definition,[spl28_258])],[avatar_definition]) ).
fof(f7862,plain,
( perp(sK21,sK21,sK22,sK21)
| ~ spl28_258 ),
inference(avatar_component_clause,[],[f7861]) ).
fof(f7875,plain,
spl28_258,
inference(avatar_split_clause,[],[f7844,f7861]) ).
fof(f8164,plain,
coll(sK21,sK21,sK22),
inference(resolution,[],[f6799,f337]) ).
fof(f8231,plain,
( perp(sK21,sK21,sK21,sK22)
| ~ spl28_258 ),
inference(resolution,[],[f7862,f277]) ).
fof(f8713,plain,
( ! [X2,X0,X1] : ~ cyclic(X0,X1,X2,X2)
| ~ spl28_99 ),
inference(forward_subsumption_resolution,[],[f1759,f1757]) ).
fof(f8779,plain,
( ! [X0] : cyclic(X0,sK22,sK21,sK21)
| ~ spl28_105 ),
inference(forward_subsumption_resolution,[],[f7236,f2016]) ).
fof(f8856,plain,
( $false
| ~ spl28_99
| ~ spl28_105 ),
inference(forward_subsumption_resolution,[],[f8779,f8713]) ).
fof(f8857,plain,
( ~ spl28_99
| ~ spl28_105 ),
inference(avatar_contradiction_clause,[],[f8856]) ).
fof(f8956,plain,
( $false
| spl28_105 ),
inference(forward_subsumption_resolution,[],[f8164,f2015]) ).
fof(f8957,plain,
spl28_105,
inference(avatar_contradiction_clause,[],[f8956]) ).
fof(f9036,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| ~ cong(X0,X2,X0,X2)
| perp(X1,X0,X0,X2) )
| ~ spl28_98 ),
inference(resolution,[],[f1969,f328]) ).
fof(f9076,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2) )
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f9036,f6798]) ).
fof(f9081,plain,
( ! [X2,X0,X1] : perp(X1,X0,X0,X2)
| ~ spl28_98 ),
inference(forward_subsumption_resolution,[],[f9076,f6798]) ).
fof(f9490,plain,
( perp(sK21,sK22,sK21,sK22)
| ~ spl28_114 ),
inference(resolution,[],[f2102,f277]) ).
fof(f9530,plain,
( $false
| ~ spl28_102
| ~ spl28_114 ),
inference(forward_subsumption_resolution,[],[f9490,f1964]) ).
fof(f9531,plain,
( ~ spl28_102
| ~ spl28_114 ),
inference(avatar_contradiction_clause,[],[f9530]) ).
fof(f9566,plain,
( $false
| ~ spl28_98
| spl28_114 ),
inference(forward_subsumption_resolution,[],[f2101,f9081]) ).
fof(f9567,plain,
( ~ spl28_98
| spl28_114 ),
inference(avatar_contradiction_clause,[],[f9566]) ).
fof(f17071,plain,
! [X0] :
( ~ perp(sK23,sK22,sK22,X0)
| para(sK22,X0,sK21,sK22)
| ~ para(sK22,sK21,sK21,sK21) ),
inference(resolution,[],[f2625,f4572]) ).
fof(f17072,plain,
( ! [X0] :
( ~ perp(sK23,sK22,sK22,X0)
| para(sK22,X0,sK21,sK22) )
| ~ spl28_244 ),
inference(forward_subsumption_resolution,[],[f17071,f7827]) ).
fof(f17073,plain,
( ! [X0] : para(sK22,X0,sK21,sK22)
| ~ spl28_98
| ~ spl28_244 ),
inference(forward_subsumption_resolution,[],[f17072,f9081]) ).
fof(f17078,plain,
( ! [X0] : para(sK22,X0,sK22,sK21)
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17073,f274]) ).
fof(f17097,plain,
( ! [X0] : coll(sK22,X0,sK21)
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17078,f337]) ).
fof(f17104,plain,
( ! [X0] : para(sK22,sK21,sK22,X0)
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17078,f275]) ).
fof(f17117,plain,
( ! [X0] : perp(sK22,X0,sK22,sK21)
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244 ),
inference(resolution,[],[f17078,f1967]) ).
fof(f17128,plain,
( ! [X0] : coll(sK22,sK21,X0)
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17097,f271]) ).
fof(f17143,plain,
( ! [X0,X1] :
( ~ coll(sK22,sK21,X0)
| coll(X0,X1,sK22) )
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17128,f273]) ).
fof(f17146,plain,
( ! [X0,X1] : coll(X0,X1,sK22)
| ~ spl28_98
| ~ spl28_244 ),
inference(forward_subsumption_resolution,[],[f17143,f17128]) ).
fof(f17158,plain,
! [X0] :
( ~ perp(sK23,sK22,sK22,X0)
| perp(sK22,sK21,sK22,X0)
| ~ perp(sK21,sK21,sK21,sK22) ),
inference(resolution,[],[f2687,f4572]) ).
fof(f17159,plain,
( ! [X0] :
( ~ perp(sK23,sK22,sK22,X0)
| perp(sK22,sK21,sK22,X0) )
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17158,f8231]) ).
fof(f17160,plain,
( ! [X0] : perp(sK22,sK21,sK22,X0)
| ~ spl28_98
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17159,f9081]) ).
fof(f17169,plain,
( ! [X0,X1] : coll(X0,sK22,X1)
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17146,f271]) ).
fof(f17238,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,sK22,X1)
| coll(X1,X2,X0) )
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17169,f273]) ).
fof(f17251,plain,
( ! [X2,X0,X1] : coll(X1,X2,X0)
| ~ spl28_98
| ~ spl28_244 ),
inference(forward_subsumption_resolution,[],[f17238,f17169]) ).
fof(f17370,plain,
( ! [X0] : perp(sK22,sK21,X0,sK22)
| ~ spl28_98
| ~ spl28_258 ),
inference(resolution,[],[f17160,f277]) ).
fof(f17555,plain,
( ! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ perp(sK22,X3,X3,X0)
| para(sK22,sK21,X1,X2) )
| ~ spl28_98
| ~ spl28_258 ),
inference(resolution,[],[f17370,f1133]) ).
fof(f17561,plain,
( ! [X2,X3,X0,X1] :
( ~ perp(sK22,X3,X3,X0)
| para(sK22,sK21,X1,X2) )
| ~ spl28_98
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17555,f17251]) ).
fof(f17563,plain,
( ! [X2,X1] : para(sK22,sK21,X1,X2)
| ~ spl28_98
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17561,f9081]) ).
fof(f17586,plain,
( ! [X2,X0,X1] :
( para(X0,X1,sK22,X2)
| ~ para(sK22,sK21,X0,X1) )
| ~ spl28_98
| ~ spl28_244 ),
inference(resolution,[],[f17104,f1836]) ).
fof(f17588,plain,
( ! [X2,X0,X1] : para(X0,X1,sK22,X2)
| ~ spl28_98
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17586,f17563]) ).
fof(f17644,plain,
( ! [X2,X0,X1] :
( perp(sK22,X0,X1,X2)
| ~ para(X1,X2,sK22,sK21) )
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244 ),
inference(resolution,[],[f17117,f1733]) ).
fof(f17654,plain,
( ! [X2,X0,X1] : perp(sK22,X0,X1,X2)
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17644,f17588]) ).
fof(f17950,plain,
( ! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| ~ para(sK22,sK21,X0,X1) )
| ~ spl28_98
| ~ spl28_244
| ~ spl28_258 ),
inference(resolution,[],[f17563,f1836]) ).
fof(f17962,plain,
( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
| ~ spl28_98
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f17950,f17563]) ).
fof(f18308,plain,
( ! [X2,X3,X0,X1,X4] :
( perp(X0,X1,X2,X3)
| ~ para(sK22,X4,X0,X1) )
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(resolution,[],[f17654,f1837]) ).
fof(f18338,plain,
( ! [X2,X3,X0,X1] : perp(X0,X1,X2,X3)
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(forward_subsumption_resolution,[],[f18308,f17962]) ).
fof(f20008,plain,
( $false
| ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(resolution,[],[f18338,f392]) ).
fof(f20015,plain,
( ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(avatar_contradiction_clause,[],[f20008]) ).
cnf(s53,plain,
( spl28_98
| spl28_99 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s55,plain,
( spl28_102
| spl28_103 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s145,plain,
spl28_244,
inference(sat_conversion,[],[f6890]) ).
cnf(s149,plain,
spl28_258,
inference(sat_conversion,[],[f7875]) ).
cnf(s197,plain,
( ~ spl28_99
| ~ spl28_105 ),
inference(sat_conversion,[],[f8857]) ).
cnf(s210,plain,
spl28_105,
inference(sat_conversion,[],[f8957]) ).
cnf(s220,plain,
( ~ spl28_102
| ~ spl28_114 ),
inference(sat_conversion,[],[f9531]) ).
cnf(s225,plain,
( ~ spl28_98
| spl28_114 ),
inference(sat_conversion,[],[f9567]) ).
cnf(s440,plain,
( ~ spl28_98
| ~ spl28_103
| ~ spl28_244
| ~ spl28_258 ),
inference(sat_conversion,[],[f20015]) ).
cnf(s454,plain,
~ spl28_99,
inference(rat,[],[s197,s210]) ).
cnf(s468,plain,
spl28_98,
inference(rat,[],[s53,s454]) ).
cnf(s469,plain,
~ spl28_103,
inference(rat,[],[s440,s149,s145,s468]) ).
cnf(s502,plain,
spl28_114,
inference(rat,[],[s225,s468]) ).
cnf(s508,plain,
spl28_102,
inference(rat,[],[s55,s469]) ).
cnf(s524,plain,
$false,
inference(rat,[],[s220,s502,s508]) ).
fof(f20030,plain,
$false,
inference(avatar_sat_refutation,[],[s524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO633+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 : n016.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 08:46:02 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 6.11/1.34 % (2328028)Will run a generic schedule for satisfiability detection.
% 6.11/1.34 % (2328036)dis+10_1_sil=32000:sp=arity:random_seed=2175274020:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.11/1.34 % (2328034)% WARNING: option uhcvi not known.
% 6.11/1.34 % (2328033)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=100073572_2999 on theBenchmark for (2999ds/0Mi)
% 6.11/1.34 % (2328034)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2088684273:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.11/1.34 % (2328035)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4106782396:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.11/1.34 % (2328038)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2713876784:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.11/1.34 % (2328037)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2168368799:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.11/1.34 % (2328039)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3197768680:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.11/1.34 % TRYING [1]
% 6.11/1.34 % TRYING [2]
% 6.11/1.34 % (2328036)Instruction limit reached!
% 6.11/1.34 % (2328036)------------------------------
% 6.11/1.34 % (2328036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328036)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328036)Termination reason: Instruction limit
% 6.11/1.34 % (2328036)Termination phase: Saturation
% 6.11/1.34 % (2328036)Time elapsed: 0.037 s
% 6.11/1.34 % (2328036)Peak memory usage: 13 MB
% 6.11/1.34 % (2328036)Instructions burned: 105 (million)
% 6.11/1.34 % TRYING [3]
% 6.11/1.34 % (2328047)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1492927967:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.11/1.34 % TRYING [1]
% 6.11/1.34 % TRYING [2]
% 6.11/1.34 % TRYING [3]
% 6.11/1.34 % (2328037)Instruction limit reached!
% 6.11/1.34 % (2328037)------------------------------
% 6.11/1.34 % (2328037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328037)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328037)Termination reason: Instruction limit
% 6.11/1.34 % (2328037)Termination phase: Saturation
% 6.11/1.34 % (2328037)Time elapsed: 0.068 s
% 6.11/1.34 % (2328037)Peak memory usage: 13 MB
% 6.11/1.34 % (2328037)Instructions burned: 116 (million)
% 6.11/1.34 % (2328038)Instruction limit reached!
% 6.11/1.34 % (2328038)------------------------------
% 6.11/1.34 % (2328038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328038)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328038)Termination reason: Instruction limit
% 6.11/1.34 % (2328038)Termination phase: Saturation
% 6.11/1.34 % (2328038)Time elapsed: 0.082 s
% 6.11/1.34 % (2328038)Peak memory usage: 14 MB
% 6.11/1.34 % (2328038)Instructions burned: 131 (million)
% 6.11/1.34 % (2328039)Instruction limit reached!
% 6.11/1.34 % (2328039)------------------------------
% 6.11/1.34 % (2328039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328039)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328039)Termination reason: Instruction limit
% 6.11/1.34 % (2328039)Termination phase: Saturation
% 6.11/1.34 % (2328039)Time elapsed: 0.088 s
% 6.11/1.34 % (2328039)Peak memory usage: 14 MB
% 6.11/1.34 % (2328039)Instructions burned: 160 (million)
% 6.11/1.34 % (2328049)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1536262304:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.11/1.34 % (2328050)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=3828699547:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.11/1.34 % (2328052)ott-21_1_sil=16000:fs=off:random_seed=2323947173:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.11/1.34 % (2328047)Instruction limit reached!
% 6.11/1.34 % (2328047)------------------------------
% 6.11/1.34 % (2328047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328047)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328047)Termination reason: Instruction limit
% 6.11/1.34 % (2328047)Termination phase: Finite model building constraint generation
% 6.11/1.34 % (2328047)Time elapsed: 0.133 s
% 6.11/1.34 % (2328047)Peak memory usage: 24 MB
% 6.11/1.34 % (2328047)Instructions burned: 715 (million)
% 6.11/1.34 % (2328049)Instruction limit reached!
% 6.11/1.34 % (2328049)------------------------------
% 6.11/1.34 % (2328049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328049)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328049)Termination reason: Instruction limit
% 6.11/1.34 % (2328049)Termination phase: Saturation
% 6.11/1.34 % (2328049)Time elapsed: 0.084 s
% 6.11/1.34 % (2328049)Peak memory usage: 14 MB
% 6.11/1.34 % (2328049)Instructions burned: 132 (million)
% 6.11/1.34 % (2328056)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4061489843:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.11/1.34 % TRYING [1]
% 6.11/1.34 % TRYING [2]
% 6.11/1.34 % (2328055)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=500272173:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.11/1.34 % (2328052)Instruction limit reached!
% 6.11/1.34 % (2328052)------------------------------
% 6.11/1.34 % (2328052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328052)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328052)Termination reason: Instruction limit
% 6.11/1.34 % (2328052)Termination phase: Saturation
% 6.11/1.34 % (2328052)Time elapsed: 0.096 s
% 6.11/1.34 % (2328052)Peak memory usage: 13 MB
% 6.11/1.34 % (2328052)Instructions burned: 181 (million)
% 6.11/1.34 % TRYING [3]
% 6.11/1.34 % (2328059)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=120862837:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 6.11/1.34 % (2328056)Instruction limit reached!
% 6.11/1.34 % (2328056)------------------------------
% 6.11/1.34 % (2328056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328056)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328056)Termination reason: Instruction limit
% 6.11/1.34 % (2328056)Termination phase: Finite model building constraint generation
% 6.11/1.34 % (2328056)Time elapsed: 0.165 s
% 6.11/1.34 % (2328056)Peak memory usage: 50 MB
% 6.11/1.34 % (2328056)Instructions burned: 869 (million)
% 6.11/1.34 % (2328061)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2094781536:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 6.11/1.34 % (2328061)Cannot represent all propositional literals internally
% 6.11/1.34 % (2328061)Refutation not found, incomplete strategy
% 6.11/1.34 % (2328061)------------------------------
% 6.11/1.34 % (2328061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328061)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328061)Termination reason: Refutation not found, incomplete strategy
% 6.11/1.34 % (2328061)Time elapsed: 0.003 s
% 6.11/1.34 % (2328061)Peak memory usage: 10 MB
% 6.11/1.34 % (2328061)Instructions burned: 13 (million)
% 6.11/1.34 % (2328061)------------------------------
% 6.11/1.34 % (2328061)------------------------------
% 6.11/1.34 % (2328063)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=1958636662: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)
% 6.11/1.34 % (2328055)Instruction limit reached!
% 6.11/1.34 % (2328055)------------------------------
% 6.11/1.34 % (2328055)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328055)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328055)Termination reason: Instruction limit
% 6.11/1.34 % (2328055)Termination phase: Saturation
% 6.11/1.34 % (2328055)Time elapsed: 0.296 s
% 6.11/1.34 % (2328055)Peak memory usage: 15 MB
% 6.11/1.34 % (2328055)Instructions burned: 479 (million)
% 6.11/1.34 % (2328050)Instruction limit reached!
% 6.11/1.34 % (2328050)------------------------------
% 6.11/1.34 % (2328050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328050)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328050)Termination reason: Instruction limit
% 6.11/1.34 % (2328050)Termination phase: Saturation
% 6.11/1.34 % (2328050)Time elapsed: 0.393 s
% 6.11/1.34 % (2328050)Peak memory usage: 17 MB
% 6.11/1.34 % (2328050)Instructions burned: 686 (million)
% 6.11/1.34 % (2328065)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=321230247:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.11/1.34 % (2328066)fmb+10_1_sil=64000:random_seed=3039433640:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.11/1.34 % TRYING [1]
% 6.11/1.34 % TRYING [2]
% 6.11/1.34 % (2328063)Instruction limit reached!
% 6.11/1.34 % (2328063)------------------------------
% 6.11/1.34 % (2328063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328063)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328063)Termination reason: Instruction limit
% 6.11/1.34 % (2328063)Termination phase: Saturation
% 6.11/1.34 % (2328063)Time elapsed: 0.225 s
% 6.11/1.34 % (2328063)Peak memory usage: 21 MB
% 6.11/1.34 % (2328063)Instructions burned: 694 (million)
% 6.11/1.34 % TRYING [3]
% 6.11/1.34 % (2328069)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2402384850:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 6.11/1.34 % (2328069)Cannot represent all propositional literals internally
% 6.11/1.34 % (2328069)Refutation not found, incomplete strategy
% 6.11/1.34 % (2328069)------------------------------
% 6.11/1.34 % (2328069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328069)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328069)Termination reason: Refutation not found, incomplete strategy
% 6.11/1.34 % (2328069)Time elapsed: 0.003 s
% 6.11/1.34 % (2328069)Peak memory usage: 10 MB
% 6.11/1.34 % (2328069)Instructions burned: 13 (million)
% 6.11/1.34 % (2328069)------------------------------
% 6.11/1.34 % (2328069)------------------------------
% 6.11/1.34 % (2328071)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3316616391:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 6.11/1.34 % TRYING [8]
% 6.11/1.34 % (2328071)Instruction limit reached!
% 6.11/1.34 % (2328071)------------------------------
% 6.11/1.34 % (2328071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328071)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328071)Termination reason: Instruction limit
% 6.11/1.34 % (2328071)Termination phase: Finite model building constraint generation
% 6.11/1.34 % (2328071)Time elapsed: 0.157 s
% 6.11/1.34 % (2328071)Peak memory usage: 46 MB
% 6.11/1.34 % (2328071)Instructions burned: 923 (million)
% 6.11/1.34 % (2328073)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1916981846:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 6.11/1.34 % (2328059) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2328028-2328059"...
% 6.11/1.34 % (2328059)...printing done.
% 6.11/1.34 % (2328059)Refutation found. Thanks to Tanya!
% 6.11/1.34 % SZS status Theorem for theBenchmark
% 6.11/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 6.11/1.34 % (2328059)------------------------------
% 6.11/1.34 % (2328059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.11/1.34 % (2328059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.11/1.34 % (2328059)CaDiCaL version: 2.1.3
% 6.11/1.34 % (2328059)Termination reason: Refutation
% 6.11/1.34 % (2328059)Time elapsed: 0.629 s
% 6.11/1.34 % (2328059)Peak memory usage: 23 MB
% 6.11/1.34 % (2328059)Instructions burned: 975 (million)
% 6.11/1.34 % (2328028)Success in time 0.913 s
% 6.11/1.34 % Vampire exiting
%------------------------------------------------------------------------------