%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO649+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 : n017.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 09:54:57 AM UTC 2026
% Result : Theorem 6.39s 3.08s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 134 ( 18 unt; 0 def)
% Number of atoms : 400 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 423 ( 157 ~; 155 |; 86 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-6 aty)
% Number of variables : 649 ( 614 !; 35 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(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(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(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(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(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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) )
=> para(X7,X5,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02210) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) )
=> para(X7,X5,X2,X3) ),
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(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(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(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(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(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ para(X7,X5,X2,X3)
& circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ para(X7,X5,X2,X3)
& circle(X0,X1,X8,X9)
& circle(X0,X1,X2,X10)
& circle(X0,X1,X3,X11)
& circle(X0,X1,X4,X12)
& coll(X5,X2,X4)
& coll(X5,X1,X3)
& midp(X13,X4,X5)
& perp(X4,X5,X13,X6)
& midp(X14,X4,X1)
& perp(X4,X1,X14,X6)
& midp(X15,X5,X1)
& perp(X5,X1,X15,X6)
& perp(X5,X6,X5,X7) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ para(sK27,sK25,sK22,sK23)
& circle(sK20,sK21,sK28,sK29)
& circle(sK20,sK21,sK22,sK30)
& circle(sK20,sK21,sK23,sK31)
& circle(sK20,sK21,sK24,sK32)
& coll(sK25,sK22,sK24)
& coll(sK25,sK21,sK23)
& midp(sK33,sK24,sK25)
& perp(sK24,sK25,sK33,sK26)
& midp(sK34,sK24,sK21)
& perp(sK24,sK21,sK34,sK26)
& midp(sK35,sK25,sK21)
& perp(sK25,sK21,sK35,sK26)
& perp(sK25,sK26,sK25,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[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(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(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(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(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(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f385,plain,
perp(sK25,sK21,sK35,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ para(sK27,sK25,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
perp(sK35,sK26,sK25,sK21),
inference(resolution,[],[f278,f385]) ).
fof(f549,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK35,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f638,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(f639,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f656,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(f689,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(f872,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f881,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f1361,plain,
para(sK35,sK26,sK35,sK26),
inference(resolution,[],[f549,f429]) ).
fof(f1863,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f638,f309]) ).
fof(f1899,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f639,f291]) ).
fof(f2048,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f656,f313]) ).
fof(f2049,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f656,f312]) ).
fof(f2059,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2048,f2049]) ).
fof(f2377,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,[],[f689,f346]) ).
fof(f3743,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f872,f881]) ).
fof(f3756,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3743]) ).
fof(f12774,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1863,f1361]) ).
fof(f13089,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f12774,f337]) ).
fof(f13090,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f12774,f2059]) ).
fof(f13095,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f12774,f335]) ).
fof(f13132,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f13095,f12774]) ).
fof(f13159,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f13089,f272]) ).
fof(f13276,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13159,f271]) ).
fof(f13388,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f13276,f273]) ).
fof(f13416,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f13388,f13276]) ).
fof(f15553,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f13090,f287]) ).
fof(f15588,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f15553,f13090]) ).
fof(f16104,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(resolution,[],[f1899,f314]) ).
fof(f16117,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f16104]) ).
fof(f16118,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f16117,f15588]) ).
fof(f16132,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f16118,f15588]) ).
fof(f16135,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f16132,f15588]) ).
fof(f16311,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f16135,f338]) ).
fof(f16346,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16311,f13416]) ).
fof(f21140,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f13132,f16346]) ).
fof(f24347,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2377,f16135]) ).
fof(f24491,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f24347,f21140]) ).
fof(f24497,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f24491,f21140]) ).
fof(f24500,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f24497,f338]) ).
fof(f24650,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f24500,f13416]) ).
fof(f24748,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f24650,f3756]) ).
fof(f24871,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f24748,f24650]) ).
fof(f25916,plain,
$false,
inference(resolution,[],[f24871,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO649+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n017.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 08:39:05 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 6.77/1.57 % (2241203)Will run a generic schedule for satisfiability detection.
% 6.77/1.57 % (2241215)% WARNING: option uhcvi not known.
% 6.77/1.57 % (2241220)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3268119351:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.77/1.57 % (2241216)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3069282366:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.77/1.57 % (2241217)dis+10_1_sil=32000:sp=arity:random_seed=2014942525:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.77/1.57 % (2241218)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2695287231:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.77/1.57 % (2241214)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4267820485_2999 on theBenchmark for (2999ds/0Mi)
% 6.77/1.57 % (2241219)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3102196105:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.77/1.57 % (2241215)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=991194817:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.77/1.57 % TRYING [1]
% 6.77/1.57 % TRYING [2]
% 6.77/1.57 % TRYING [3]
% 6.77/1.57 % (2241220)Instruction limit reached!
% 6.77/1.57 % (2241220)------------------------------
% 6.77/1.57 % (2241220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.57 % (2241220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.57 % (2241220)CaDiCaL version: 2.1.3
% 6.77/1.57 % (2241220)Termination reason: Instruction limit
% 6.77/1.57 % (2241220)Termination phase: Saturation
% 6.77/1.57 % (2241220)Time elapsed: 0.056 s
% 6.77/1.57 % (2241220)Peak memory usage: 15 MB
% 6.77/1.57 % (2241220)Instructions burned: 159 (million)
% 6.77/1.57 % (2241217)Instruction limit reached!
% 6.77/1.57 % (2241217)------------------------------
% 6.77/1.57 % (2241217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.57 % (2241217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.57 % (2241217)CaDiCaL version: 2.1.3
% 6.77/1.57 % (2241217)Termination reason: Instruction limit
% 6.77/1.57 % (2241217)Termination phase: Saturation
% 6.77/1.57 % (2241217)Time elapsed: 0.071 s
% 6.77/1.57 % (2241217)Peak memory usage: 13 MB
% 6.77/1.57 % (2241217)Instructions burned: 104 (million)
% 6.77/1.57 % (2241245)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=624733547:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.77/1.57 % TRYING [1]
% 6.77/1.57 % TRYING [2]
% 6.77/1.57 % (2241218)Instruction limit reached!
% 6.77/1.57 % (2241218)------------------------------
% 6.77/1.57 % (2241218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.57 % (2241218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.57 % (2241218)CaDiCaL version: 2.1.3
% 6.77/1.57 % (2241218)Termination reason: Instruction limit
% 6.77/1.57 % (2241218)Termination phase: Saturation
% 6.77/1.57 % (2241218)Time elapsed: 0.085 s
% 6.77/1.57 % (2241218)Peak memory usage: 13 MB
% 6.77/1.57 % (2241218)Instructions burned: 117 (million)
% 6.77/1.57 % (2241219)Instruction limit reached!
% 6.77/1.57 % (2241219)------------------------------
% 6.77/1.57 % (2241219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.57 % (2241219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.57 % (2241219)CaDiCaL version: 2.1.3
% 6.77/1.57 % (2241219)Termination reason: Instruction limit
% 6.77/1.57 % (2241219)Termination phase: Saturation
% 6.77/1.57 % (2241219)Time elapsed: 0.086 s
% 6.77/1.57 % (2241219)Peak memory usage: 14 MB
% 6.77/1.57 % (2241219)Instructions burned: 132 (million)
% 6.77/1.57 % (2241250)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=310769325:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.77/1.57 % (2241256)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=3203019823:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.77/1.57 % (2241257)ott-21_1_sil=16000:fs=off:random_seed=2033692572:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.77/1.57 % TRYING [3]
% 6.77/1.57 % (2241250)Instruction limit reached!
% 6.77/1.57 % (2241250)------------------------------
% 6.77/1.57 % (2241250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.57 % (2241250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241250)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241250)Termination reason: Instruction limit
% 6.39/3.08 % (2241250)Termination phase: Saturation
% 6.39/3.08 % (2241250)Time elapsed: 0.085 s
% 6.39/3.08 % (2241250)Peak memory usage: 14 MB
% 6.39/3.08 % (2241250)Instructions burned: 132 (million)
% 6.39/3.08 % (2241272)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1679525144:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.39/3.08 % (2241257)Instruction limit reached!
% 6.39/3.08 % (2241257)------------------------------
% 6.39/3.08 % (2241257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241257)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241257)Termination reason: Instruction limit
% 6.39/3.08 % (2241257)Termination phase: Saturation
% 6.39/3.08 % (2241257)Time elapsed: 0.102 s
% 6.39/3.08 % (2241257)Peak memory usage: 13 MB
% 6.39/3.08 % (2241257)Instructions burned: 182 (million)
% 6.39/3.08 % (2241274)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3738734978:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.39/3.08 % TRYING [1]
% 6.39/3.08 % TRYING [2]
% 6.39/3.08 % TRYING [3]
% 6.39/3.08 % (2241256)Instruction limit reached!
% 6.39/3.08 % (2241256)------------------------------
% 6.39/3.08 % (2241256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241256)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241256)Termination reason: Instruction limit
% 6.39/3.08 % (2241256)Termination phase: Saturation
% 6.39/3.08 % (2241256)Time elapsed: 0.209 s
% 6.39/3.08 % (2241256)Peak memory usage: 17 MB
% 6.39/3.08 % (2241256)Instructions burned: 684 (million)
% 6.39/3.08 % (2241276)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4050349315:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.39/3.08 % (2241245)Instruction limit reached!
% 6.39/3.08 % (2241245)------------------------------
% 6.39/3.08 % (2241245)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241245)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241245)Termination reason: Instruction limit
% 6.39/3.08 % (2241245)Termination phase: Finite model building constraint generation
% 6.39/3.08 % (2241245)Time elapsed: 0.263 s
% 6.39/3.08 % (2241245)Peak memory usage: 25 MB
% 6.39/3.08 % (2241245)Instructions burned: 715 (million)
% 6.39/3.08 % (2241278)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3416707207:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 6.39/3.08 % (2241278)Cannot represent all propositional literals internally
% 6.39/3.08 % (2241278)Refutation not found, incomplete strategy
% 6.39/3.08 % (2241278)------------------------------
% 6.39/3.08 % (2241278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241278)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241278)Termination reason: Refutation not found, incomplete strategy
% 6.39/3.08 % (2241278)Time elapsed: 0.007 s
% 6.39/3.08 % (2241278)Peak memory usage: 10 MB
% 6.39/3.08 % (2241278)Instructions burned: 13 (million)
% 6.39/3.08 % (2241278)------------------------------
% 6.39/3.08 % (2241278)------------------------------
% 6.39/3.08 % (2241280)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=4270171001: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)
% 6.39/3.08 % (2241272)Instruction limit reached!
% 6.39/3.08 % (2241272)------------------------------
% 6.39/3.08 % (2241272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241272)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241272)Termination reason: Instruction limit
% 6.39/3.08 % (2241272)Termination phase: Saturation
% 6.39/3.08 % (2241272)Time elapsed: 0.296 s
% 6.39/3.08 % (2241272)Peak memory usage: 15 MB
% 6.39/3.08 % (2241272)Instructions burned: 477 (million)
% 6.39/3.08 % (2241295)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1916146434:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.39/3.08 % (2241274)Instruction limit reached!
% 6.39/3.08 % (2241274)------------------------------
% 6.39/3.08 % (2241274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241274)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241274)Termination reason: Instruction limit
% 6.39/3.08 % (2241274)Termination phase: Finite model building constraint generation
% 6.39/3.08 % (2241274)Time elapsed: 0.305 s
% 6.39/3.08 % (2241274)Peak memory usage: 51 MB
% 6.39/3.08 % (2241274)Instructions burned: 868 (million)
% 6.39/3.08 % (2241297)fmb+10_1_sil=64000:random_seed=2907204947:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.39/3.08 % TRYING [1]
% 6.39/3.08 % TRYING [2]
% 6.39/3.08 % TRYING [3]
% 6.39/3.08 % (2241280)Instruction limit reached!
% 6.39/3.08 % (2241280)------------------------------
% 6.39/3.08 % (2241280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241280)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241280)Termination reason: Instruction limit
% 6.39/3.08 % (2241280)Termination phase: Saturation
% 6.39/3.08 % (2241280)Time elapsed: 0.387 s
% 6.39/3.08 % (2241280)Peak memory usage: 23 MB
% 6.39/3.08 % (2241280)Instructions burned: 692 (million)
% 6.39/3.08 % (2241276)Instruction limit reached!
% 6.39/3.08 % (2241276)------------------------------
% 6.39/3.08 % (2241276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241276)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241276)Termination reason: Instruction limit
% 6.39/3.08 % (2241276)Termination phase: Saturation
% 6.39/3.08 % (2241276)Time elapsed: 0.465 s
% 6.39/3.08 % (2241276)Peak memory usage: 25 MB
% 6.39/3.08 % (2241276)Instructions burned: 1182 (million)
% 6.39/3.08 % (2241299)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1801907563:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 6.39/3.08 % (2241300)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4045964847:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 6.39/3.08 % TRYING [8]
% 6.39/3.08 % (2241299)Cannot represent all propositional literals internally
% 6.39/3.08 % (2241299)Refutation not found, incomplete strategy
% 6.39/3.08 % (2241299)------------------------------
% 6.39/3.08 % (2241299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241299)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241299)Termination reason: Refutation not found, incomplete strategy
% 6.39/3.08 % (2241299)Time elapsed: 0.006 s
% 6.39/3.08 % (2241299)Peak memory usage: 10 MB
% 6.39/3.08 % (2241299)Instructions burned: 13 (million)
% 6.39/3.08 % (2241299)------------------------------
% 6.39/3.08 % (2241299)------------------------------
% 6.39/3.08 % (2241303)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3191125594:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 6.39/3.08 % (2241300)Instruction limit reached!
% 6.39/3.08 % (2241300)------------------------------
% 6.39/3.08 % (2241300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241300)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241300)Termination reason: Instruction limit
% 6.39/3.08 % (2241300)Termination phase: Finite model building constraint generation
% 6.39/3.08 % (2241300)Time elapsed: 0.196 s
% 6.39/3.08 % (2241300)Peak memory usage: 46 MB
% 6.39/3.08 % (2241300)Instructions burned: 923 (million)
% 6.39/3.08 % (2241313)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=86869296:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 6.39/3.08 % (2241295)Instruction limit reached!
% 6.39/3.08 % (2241295)------------------------------
% 6.39/3.08 % (2241295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241295)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241295)Termination reason: Instruction limit
% 6.39/3.08 % (2241295)Termination phase: Saturation
% 6.39/3.08 % (2241295)Time elapsed: 0.538 s
% 6.39/3.08 % (2241295)Peak memory usage: 18 MB
% 6.39/3.08 % (2241295)Instructions burned: 879 (million)
% 6.39/3.08 % (2241316)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2631965872:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 6.39/3.08 % (2241316)Cannot represent all propositional literals internally
% 6.39/3.08 % (2241316)Refutation not found, incomplete strategy
% 6.39/3.08 % (2241316)------------------------------
% 6.39/3.08 % (2241316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241316)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241316)Termination reason: Refutation not found, incomplete strategy
% 6.39/3.08 % (2241316)Time elapsed: 0.009 s
% 6.39/3.08 % (2241316)Peak memory usage: 11 MB
% 6.39/3.08 % (2241316)Instructions burned: 16 (million)
% 6.39/3.08 % (2241316)------------------------------
% 6.39/3.08 % (2241316)------------------------------
% 6.39/3.08 % (2241324)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1862776271:fmbsr=2.30978:i=2174_2988 on theBenchmark for (2988ds/2174Mi)
% 6.39/3.08 % (2241324)Cannot represent all propositional literals internally
% 6.39/3.08 % (2241324)Refutation not found, incomplete strategy
% 6.39/3.08 % (2241324)------------------------------
% 6.39/3.08 % (2241324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241324)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241324)Termination reason: Refutation not found, incomplete strategy
% 6.39/3.08 % (2241324)Time elapsed: 0.157 s
% 6.39/3.08 % (2241324)Peak memory usage: 12 MB
% 6.39/3.08 % (2241324)Instructions burned: 167 (million)
% 6.39/3.08 % (2241324)------------------------------
% 6.39/3.08 % (2241324)------------------------------
% 6.39/3.08 % (2241330)ott-2_1_sil=16000:newcnf=on:random_seed=2430620236:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 6.39/3.08 % (2241313)Instruction limit reached!
% 6.39/3.08 % (2241313)------------------------------
% 6.39/3.08 % (2241313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241313)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241313)Termination reason: Instruction limit
% 6.39/3.08 % (2241313)Termination phase: Saturation
% 6.39/3.08 % (2241313)Time elapsed: 0.863 s
% 6.39/3.08 % (2241313)Peak memory usage: 34 MB
% 6.39/3.08 % (2241313)Instructions burned: 1472 (million)
% 6.39/3.08 % (2241341)ott+10_1_sil=32000:tgt=ground:random_seed=3673897629:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 6.39/3.08 % (2241330)Instruction limit reached!
% 6.39/3.08 % (2241330)------------------------------
% 6.39/3.08 % (2241330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.08 % (2241330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.08 % (2241330)CaDiCaL version: 2.1.3
% 6.39/3.08 % (2241330)Termination reason: Instruction limit
% 6.39/3.08 % (2241330)Termination phase: Saturation
% 6.39/3.08 % (2241330)Time elapsed: 0.819 s
% 6.39/3.08 % (2241330)Peak memory usage: 19 MB
% 6.39/3.08 % (2241330)Instructions burned: 869 (million)
% 6.39/3.08 % (2241351)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3939328578:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 6.39/3.08 % TRYING [1]
% 6.39/3.08 % TRYING [2]
% 6.39/3.08 % TRYING [3]
% 6.39/3.08 % (2241341) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2241203-2241341"...
% 6.39/3.08 % (2241341)...printing done.
% 6.39/3.08 % (2241341)Refutation found. Thanks to Tanya!
% 6.39/3.08 % SZS status Theorem for theBenchmark
% 6.39/3.08 % SZS output start Proof for theBenchmark
% See solution above
% 6.39/3.09 % (2241341)------------------------------
% 6.39/3.09 % (2241341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.39/3.09 % (2241341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/3.09 % (2241341)CaDiCaL version: 2.1.3
% 6.39/3.09 % (2241341)Termination reason: Refutation
% 6.39/3.09 % (2241341)Time elapsed: 0.626 s
% 6.39/3.09 % (2241341)Peak memory usage: 29 MB
% 6.39/3.09 % (2241341)Instructions burned: 1469 (million)
% 6.39/3.09 % (2241203)Success in time 2.637 s
% 6.39/3.09 % Vampire exiting
%------------------------------------------------------------------------------