%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO584+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 : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:47 AM UTC 2026
% Result : Theorem 18.61s 3.08s
% Output : Refutation 18.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 145 ( 26 unt; 0 def)
% Number of atoms : 387 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 395 ( 153 ~; 149 |; 67 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 635 ( 611 !; 24 ?)
% 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(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(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(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X5,X11)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4) )
=> eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416046) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X5,X11)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4) )
=> eqangle(X5,X7,X7,X8,X5,X6,X6,X9) ),
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(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(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(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
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(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X5,X11)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X7,X7,X8,X5,X6,X6,X9)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X10)
& circle(X3,X0,X5,X11)
& perp(X6,X5,X1,X2)
& coll(X6,X1,X2)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1)
& perp(X8,X5,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X5,X2,X4)
& coll(X9,X2,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK30)
& circle(sK23,sK20,sK25,sK31)
& perp(sK26,sK25,sK21,sK22)
& coll(sK26,sK21,sK22)
& perp(sK27,sK25,sK20,sK21)
& coll(sK27,sK20,sK21)
& perp(sK28,sK25,sK20,sK24)
& coll(sK28,sK20,sK24)
& perp(sK29,sK25,sK22,sK24)
& coll(sK29,sK22,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31)],[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(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(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(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
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(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f385,plain,
perp(sK29,sK25,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK28,sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ eqangle(sK25,sK27,sK27,sK28,sK25,sK26,sK26,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f424,plain,
perp(sK22,sK24,sK29,sK25),
inference(resolution,[],[f278,f385]) ).
fof(f425,plain,
perp(sK20,sK24,sK28,sK25),
inference(resolution,[],[f278,f387]) ).
fof(f497,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f542,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK24)
| para(X0,X1,sK29,sK25) ),
inference(resolution,[],[f279,f424]) ).
fof(f553,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK28,sK25)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f279,f387]) ).
fof(f645,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(f656,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f663,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f682,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f992,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f292,f310]) ).
fof(f1068,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(f1074,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,[],[f1068]) ).
fof(f1250,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f553,f425]) ).
fof(f1670,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f645,f309]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f656,f309]) ).
fof(f1854,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f663,f313]) ).
fof(f1855,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f663,f312]) ).
fof(f1865,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1854,f1855]) ).
fof(f2197,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X1,X2,X4,X5)
| ~ midp(X3,X4,X5)
| cong(X0,X1,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f682,f346]) ).
fof(f3390,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X0,X1,X4,X5)
| ~ para(X2,X3,X6,X7) ),
inference(resolution,[],[f992,f645]) ).
fof(f5172,plain,
para(sK29,sK25,sK29,sK25),
inference(resolution,[],[f542,f385]) ).
fof(f10858,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1670,f5172]) ).
fof(f10894,plain,
! [X0] : cyclic(sK24,sK24,sK20,X0),
inference(resolution,[],[f1865,f1250]) ).
fof(f11115,plain,
( ~ cyclic(sK24,sK24,sK20,sK24)
| ~ cyclic(sK24,sK24,sK20,sK24)
| cong(sK24,sK24,sK24,sK24) ),
inference(resolution,[],[f10894,f1074]) ).
fof(f11121,plain,
( ~ cyclic(sK24,sK24,sK20,sK24)
| cong(sK24,sK24,sK24,sK24) ),
inference(duplicate_literal_removal,[],[f11115]) ).
fof(f11122,plain,
cong(sK24,sK24,sK24,sK24),
inference(forward_subsumption_resolution,[],[f11121,f10894]) ).
fof(f11254,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10858,f337]) ).
fof(f11255,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f10858,f1865]) ).
fof(f11260,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10858,f335]) ).
fof(f11289,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11260,f10858]) ).
fof(f11315,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11254,f272]) ).
fof(f11422,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11315,f271]) ).
fof(f11524,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11422,f273]) ).
fof(f11549,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11524,f11422]) ).
fof(f14794,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f11255,f1074]) ).
fof(f14808,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f14794]) ).
fof(f14811,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14808,f11255]) ).
fof(f18139,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14811,f338]) ).
fof(f18177,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18139,f11549]) ).
fof(f19815,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11289,f18177]) ).
fof(f21523,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| cong(X1,sK24,X0,sK24)
| ~ midp(X1,sK24,sK24) ),
inference(resolution,[],[f2197,f11122]) ).
fof(f21560,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| cong(X1,sK24,X0,sK24) ),
inference(forward_subsumption_resolution,[],[f21523,f19815]) ).
fof(f21575,plain,
! [X0,X1] : cong(X1,sK24,X0,sK24),
inference(forward_subsumption_resolution,[],[f21560,f19815]) ).
fof(f21612,plain,
! [X0,X1] : cong(X0,sK24,sK24,X1),
inference(resolution,[],[f21575,f293]) ).
fof(f22104,plain,
! [X0] : para(sK24,X0,sK24,sK24),
inference(resolution,[],[f21612,f1812]) ).
fof(f22105,plain,
! [X0] : para(sK24,sK24,sK24,X0),
inference(resolution,[],[f21612,f497]) ).
fof(f23627,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK24,sK24,X1)
| midp(X0,sK24,X1) ),
inference(resolution,[],[f22104,f335]) ).
fof(f23632,plain,
! [X0,X1] :
( ~ para(sK24,sK24,sK24,X1)
| midp(X0,sK24,X1) ),
inference(forward_subsumption_resolution,[],[f23627,f19815]) ).
fof(f23634,plain,
! [X0,X1] : midp(X0,sK24,X1),
inference(forward_subsumption_resolution,[],[f23632,f22105]) ).
fof(f23649,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK24,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f23634,f315]) ).
fof(f23685,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f23649,f23634]) ).
fof(f30132,plain,
( ~ para(sK25,sK27,sK25,sK26)
| ~ para(sK27,sK28,sK26,sK29) ),
inference(resolution,[],[f3390,f395]) ).
fof(f30184,plain,
~ para(sK25,sK27,sK25,sK26),
inference(forward_subsumption_resolution,[],[f30132,f23685]) ).
fof(f30197,plain,
$false,
inference(forward_subsumption_resolution,[],[f30184,f23685]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO584+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n002.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:36:52 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.86/1.42 % (3236213)Will run a generic schedule for satisfiability detection.
% 6.86/1.42 % (3236223)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=224038449:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.86/1.42 % (3236219)% WARNING: option uhcvi not known.
% 6.86/1.42 % (3236218)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1341215103_2999 on theBenchmark for (2999ds/0Mi)
% 6.86/1.42 % (3236220)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3690352594:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.86/1.42 % (3236221)dis+10_1_sil=32000:sp=arity:random_seed=260909127:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.86/1.42 % (3236222)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=258556558:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.86/1.42 % (3236224)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2934690698:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.86/1.42 % (3236219)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4158868261:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.86/1.42 % TRYING [1]
% 6.86/1.42 % TRYING [2]
% 6.86/1.42 % TRYING [3]
% 6.86/1.42 % (3236223)Instruction limit reached!
% 6.86/1.42 % (3236223)------------------------------
% 6.86/1.42 % (3236223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/1.42 % (3236223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.42 % (3236223)CaDiCaL version: 2.1.3
% 6.86/1.42 % (3236223)Termination reason: Instruction limit
% 6.86/1.42 % (3236223)Termination phase: Saturation
% 6.86/1.42 % (3236223)Time elapsed: 0.047 s
% 6.86/1.42 % (3236223)Peak memory usage: 14 MB
% 6.86/1.42 % (3236223)Instructions burned: 132 (million)
% 6.86/1.42 % (3236232)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3059917497:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.86/1.42 % TRYING [1]
% 6.86/1.42 % TRYING [2]
% 6.86/1.42 % (3236221)Instruction limit reached!
% 6.86/1.42 % (3236221)------------------------------
% 6.86/1.42 % (3236221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/1.42 % (3236221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.42 % (3236221)CaDiCaL version: 2.1.3
% 6.86/1.42 % (3236221)Termination reason: Instruction limit
% 6.86/1.42 % (3236221)Termination phase: Saturation
% 6.86/1.42 % (3236221)Time elapsed: 0.068 s
% 6.86/1.42 % (3236221)Peak memory usage: 13 MB
% 6.86/1.42 % (3236221)Instructions burned: 103 (million)
% 6.86/1.42 % (3236222)Instruction limit reached!
% 6.86/1.42 % (3236222)------------------------------
% 6.86/1.42 % (3236222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/1.42 % (3236222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.42 % (3236222)CaDiCaL version: 2.1.3
% 6.86/1.42 % (3236222)Termination reason: Instruction limit
% 6.86/1.42 % (3236222)Termination phase: Saturation
% 6.86/1.42 % (3236222)Time elapsed: 0.070 s
% 6.86/1.42 % (3236222)Peak memory usage: 13 MB
% 6.86/1.42 % (3236222)Instructions burned: 117 (million)
% 6.86/1.42 % TRYING [3]
% 6.86/1.42 % (3236234)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=404956768:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.86/1.42 % (3236235)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=2233763444:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.86/1.42 % (3236224)Instruction limit reached!
% 6.86/1.42 % (3236224)------------------------------
% 6.86/1.42 % (3236224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/1.42 % (3236224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.86/1.42 % (3236224)CaDiCaL version: 2.1.3
% 6.86/1.42 % (3236224)Termination reason: Instruction limit
% 6.86/1.42 % (3236224)Termination phase: Saturation
% 6.86/1.42 % (3236224)Time elapsed: 0.093 s
% 6.86/1.42 % (3236224)Peak memory usage: 15 MB
% 6.86/1.42 % (3236224)Instructions burned: 164 (million)
% 6.86/1.42 % (3236238)ott-21_1_sil=16000:fs=off:random_seed=3856796141:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.86/1.42 % (3236234)Instruction limit reached!
% 6.86/1.42 % (3236234)------------------------------
% 6.86/1.42 % (3236234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.86/1.42 % (3236234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236234)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236234)Termination reason: Instruction limit
% 18.61/3.08 % (3236234)Termination phase: Saturation
% 18.61/3.08 % (3236234)Time elapsed: 0.083 s
% 18.61/3.08 % (3236234)Peak memory usage: 14 MB
% 18.61/3.08 % (3236234)Instructions burned: 132 (million)
% 18.61/3.08 % (3236232)Instruction limit reached!
% 18.61/3.08 % (3236232)------------------------------
% 18.61/3.08 % (3236232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236232)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236232)Termination reason: Instruction limit
% 18.61/3.08 % (3236232)Termination phase: Finite model building constraint generation
% 18.61/3.08 % (3236232)Time elapsed: 0.133 s
% 18.61/3.08 % (3236232)Peak memory usage: 24 MB
% 18.61/3.08 % (3236232)Instructions burned: 715 (million)
% 18.61/3.08 % (3236240)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=741976947:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.61/3.08 % (3236241)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3959195619:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.61/3.08 % TRYING [1]
% 18.61/3.08 % TRYING [2]
% 18.61/3.08 % (3236238)Instruction limit reached!
% 18.61/3.08 % (3236238)------------------------------
% 18.61/3.08 % (3236238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236238)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236238)Termination reason: Instruction limit
% 18.61/3.08 % (3236238)Termination phase: Saturation
% 18.61/3.08 % (3236238)Time elapsed: 0.095 s
% 18.61/3.08 % (3236238)Peak memory usage: 13 MB
% 18.61/3.08 % (3236238)Instructions burned: 182 (million)
% 18.61/3.08 % (3236244)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2753265702:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.61/3.08 % TRYING [3]
% 18.61/3.08 % (3236241)Instruction limit reached!
% 18.61/3.08 % (3236241)------------------------------
% 18.61/3.08 % (3236241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236241)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236241)Termination reason: Instruction limit
% 18.61/3.08 % (3236241)Termination phase: Finite model building constraint generation
% 18.61/3.08 % (3236241)Time elapsed: 0.164 s
% 18.61/3.08 % (3236241)Peak memory usage: 50 MB
% 18.61/3.08 % (3236241)Instructions burned: 867 (million)
% 18.61/3.08 % (3236246)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3122698042:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 18.61/3.08 % (3236246)Cannot represent all propositional literals internally
% 18.61/3.08 % (3236246)Refutation not found, incomplete strategy
% 18.61/3.08 % (3236246)------------------------------
% 18.61/3.08 % (3236246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236246)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236246)Termination reason: Refutation not found, incomplete strategy
% 18.61/3.08 % (3236246)Time elapsed: 0.003 s
% 18.61/3.08 % (3236246)Peak memory usage: 10 MB
% 18.61/3.08 % (3236246)Instructions burned: 13 (million)
% 18.61/3.08 % (3236246)------------------------------
% 18.61/3.08 % (3236246)------------------------------
% 18.61/3.08 % (3236248)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=3955221826: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)
% 18.61/3.08 % (3236240)Instruction limit reached!
% 18.61/3.08 % (3236240)------------------------------
% 18.61/3.08 % (3236240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236240)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236240)Termination reason: Instruction limit
% 18.61/3.08 % (3236240)Termination phase: Saturation
% 18.61/3.08 % (3236240)Time elapsed: 0.280 s
% 18.61/3.08 % (3236240)Peak memory usage: 14 MB
% 18.61/3.08 % (3236240)Instructions burned: 477 (million)
% 18.61/3.08 % (3236250)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1791121420:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.61/3.08 % (3236235)Instruction limit reached!
% 18.61/3.08 % (3236235)------------------------------
% 18.61/3.08 % (3236235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236235)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236235)Termination reason: Instruction limit
% 18.61/3.08 % (3236235)Termination phase: Saturation
% 18.61/3.08 % (3236235)Time elapsed: 0.419 s
% 18.61/3.08 % (3236235)Peak memory usage: 20 MB
% 18.61/3.08 % (3236235)Instructions burned: 685 (million)
% 18.61/3.08 % (3236252)fmb+10_1_sil=64000:random_seed=1791967602:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 18.61/3.08 % TRYING [1]
% 18.61/3.08 % TRYING [2]
% 18.61/3.08 % (3236248)Instruction limit reached!
% 18.61/3.08 % (3236248)------------------------------
% 18.61/3.08 % (3236248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236248)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236248)Termination reason: Instruction limit
% 18.61/3.08 % (3236248)Termination phase: Saturation
% 18.61/3.08 % (3236248)Time elapsed: 0.229 s
% 18.61/3.08 % (3236248)Peak memory usage: 22 MB
% 18.61/3.08 % (3236248)Instructions burned: 695 (million)
% 18.61/3.08 % TRYING [3]
% 18.61/3.08 % (3236254)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1475570991:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 18.61/3.08 % (3236254)Cannot represent all propositional literals internally
% 18.61/3.08 % (3236254)Refutation not found, incomplete strategy
% 18.61/3.08 % (3236254)------------------------------
% 18.61/3.08 % (3236254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236254)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236254)Termination reason: Refutation not found, incomplete strategy
% 18.61/3.08 % (3236254)Time elapsed: 0.003 s
% 18.61/3.08 % (3236254)Peak memory usage: 10 MB
% 18.61/3.08 % (3236254)Instructions burned: 13 (million)
% 18.61/3.08 % (3236254)------------------------------
% 18.61/3.08 % (3236254)------------------------------
% 18.61/3.08 % (3236256)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3695747758:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 18.61/3.08 % TRYING [8]
% 18.61/3.08 % (3236256)Instruction limit reached!
% 18.61/3.08 % (3236256)------------------------------
% 18.61/3.08 % (3236256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236256)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236256)Termination reason: Instruction limit
% 18.61/3.08 % (3236256)Termination phase: Finite model building constraint generation
% 18.61/3.08 % (3236256)Time elapsed: 0.161 s
% 18.61/3.08 % (3236256)Peak memory usage: 51 MB
% 18.61/3.08 % (3236256)Instructions burned: 922 (million)
% 18.61/3.08 % (3236258)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2077085875:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 18.61/3.08 % (3236244)Instruction limit reached!
% 18.61/3.08 % (3236244)------------------------------
% 18.61/3.08 % (3236244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236244)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236244)Termination reason: Instruction limit
% 18.61/3.08 % (3236244)Termination phase: Saturation
% 18.61/3.08 % (3236244)Time elapsed: 0.709 s
% 18.61/3.08 % (3236244)Peak memory usage: 24 MB
% 18.61/3.08 % (3236244)Instructions burned: 1180 (million)
% 18.61/3.08 % (3236250)Instruction limit reached!
% 18.61/3.08 % (3236250)------------------------------
% 18.61/3.08 % (3236250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236250)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236250)Termination reason: Instruction limit
% 18.61/3.08 % (3236250)Termination phase: Saturation
% 18.61/3.08 % (3236250)Time elapsed: 0.464 s
% 18.61/3.08 % (3236250)Peak memory usage: 18 MB
% 18.61/3.08 % (3236250)Instructions burned: 881 (million)
% 18.61/3.08 % (3236260)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2658645616:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 18.61/3.08 % (3236262)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=854502017:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 18.61/3.08 % (3236262)Cannot represent all propositional literals internally
% 18.61/3.08 % (3236262)Refutation not found, incomplete strategy
% 18.61/3.08 % (3236262)------------------------------
% 18.61/3.08 % (3236262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236262)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236262)Termination reason: Refutation not found, incomplete strategy
% 18.61/3.08 % (3236262)Time elapsed: 0.008 s
% 18.61/3.08 % (3236262)Peak memory usage: 11 MB
% 18.61/3.08 % (3236262)Instructions burned: 16 (million)
% 18.61/3.08 % (3236262)------------------------------
% 18.61/3.08 % (3236262)------------------------------
% 18.61/3.08 % (3236264)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=977876154:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 18.61/3.08 % (3236264)Cannot represent all propositional literals internally
% 18.61/3.08 % (3236264)Refutation not found, incomplete strategy
% 18.61/3.08 % (3236264)------------------------------
% 18.61/3.08 % (3236264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236264)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236264)Termination reason: Refutation not found, incomplete strategy
% 18.61/3.08 % (3236264)Time elapsed: 0.082 s
% 18.61/3.08 % (3236264)Peak memory usage: 12 MB
% 18.61/3.08 % (3236264)Instructions burned: 166 (million)
% 18.61/3.08 % (3236264)------------------------------
% 18.61/3.08 % (3236264)------------------------------
% 18.61/3.08 % (3236266)ott-2_1_sil=16000:newcnf=on:random_seed=2400801415:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 18.61/3.08 % (3236266)Instruction limit reached!
% 18.61/3.08 % (3236266)------------------------------
% 18.61/3.08 % (3236266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236266)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236266)Termination reason: Instruction limit
% 18.61/3.08 % (3236266)Termination phase: Saturation
% 18.61/3.08 % (3236266)Time elapsed: 0.554 s
% 18.61/3.08 % (3236266)Peak memory usage: 18 MB
% 18.61/3.08 % (3236266)Instructions burned: 870 (million)
% 18.61/3.08 % (3236268)ott+10_1_sil=32000:tgt=ground:random_seed=2084480515:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 18.61/3.08 % (3236260)Instruction limit reached!
% 18.61/3.08 % (3236260)------------------------------
% 18.61/3.08 % (3236260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236260)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236260)Termination reason: Instruction limit
% 18.61/3.08 % (3236260)Termination phase: Saturation
% 18.61/3.08 % (3236260)Time elapsed: 1.003 s
% 18.61/3.08 % (3236260)Peak memory usage: 33 MB
% 18.61/3.08 % (3236260)Instructions burned: 1472 (million)
% 18.61/3.08 % (3236270)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3835032422:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 18.61/3.08 % TRYING [1]
% 18.61/3.08 % TRYING [2]
% 18.61/3.08 % TRYING [3]
% 18.61/3.08 % TRYING [4]
% 18.61/3.08 % (3236258)Instruction limit reached!
% 18.61/3.08 % (3236258)------------------------------
% 18.61/3.08 % (3236258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.08 % (3236258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.08 % (3236258)CaDiCaL version: 2.1.3
% 18.61/3.08 % (3236258)Termination reason: Instruction limit
% 18.61/3.08 % (3236258)Termination phase: Saturation
% 18.61/3.08 % (3236258)Time elapsed: 1.712 s
% 18.61/3.08 % (3236258)Peak memory usage: 38 MB
% 18.61/3.08 % (3236258)Instructions burned: 5131 (million)
% 18.61/3.08 % (3236272)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=166050233:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 18.61/3.08 % (3236268) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3236213-3236268"...
% 18.61/3.08 % (3236268)...printing done.
% 18.61/3.08 % (3236268)Refutation found. Thanks to Tanya!
% 18.61/3.08 % SZS status Theorem for theBenchmark
% 18.61/3.08 % SZS output start Proof for theBenchmark
% See solution above
% 18.61/3.09 % (3236268)------------------------------
% 18.61/3.09 % (3236268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.61/3.09 % (3236268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.61/3.09 % (3236268)CaDiCaL version: 2.1.3
% 18.61/3.09 % (3236268)Termination reason: Refutation
% 18.61/3.09 % (3236268)Time elapsed: 0.913 s
% 18.61/3.09 % (3236268)Peak memory usage: 28 MB
% 18.61/3.09 % (3236268)Instructions burned: 1435 (million)
% 18.61/3.09 % (3236213)Success in time 2.673 s
% 18.61/3.09 % Vampire exiting
%------------------------------------------------------------------------------