%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO629+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 09:54:54 AM UTC 2026
% Result : Theorem 7.81s 3.06s
% Output : Refutation 7.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 22
% Syntax : Number of formulae : 127 ( 18 unt; 0 def)
% Number of atoms : 382 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 404 ( 149 ~; 147 |; 85 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-6 aty)
% Number of variables : 605 ( 574 !; 31 ?)
% 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(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] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) )
=> para(X10,X4,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) )
=> para(X10,X4,X9,X8) ),
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(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] :
( ~ para(X10,X4,X9,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ para(X10,X4,X9,X8)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X2)
& coll(X8,X0,X2)
& perp(X9,X7,X0,X1)
& coll(X9,X0,X1)
& para(X5,X6,X10,X7)
& circle(X3,X0,X10,X13) ),
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(sK30,sK24,sK29,sK28)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK31)
& perp(sK25,sK24,sK20,sK22)
& coll(sK25,sK20,sK22)
& perp(sK26,sK24,sK20,sK21)
& coll(sK26,sK20,sK21)
& circle(sK23,sK20,sK27,sK32)
& perp(sK28,sK27,sK20,sK22)
& coll(sK28,sK20,sK22)
& perp(sK29,sK27,sK20,sK21)
& coll(sK29,sK20,sK21)
& para(sK25,sK26,sK30,sK27)
& circle(sK23,sK20,sK30,sK33) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33]),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)],[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(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,
para(sK25,sK26,sK30,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ para(sK30,sK24,sK29,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f419,plain,
para(sK30,sK27,sK25,sK26),
inference(resolution,[],[f275,f385]) ).
fof(f533,plain,
! [X0,X1] :
( ~ para(X0,X1,sK25,sK26)
| para(X0,X1,sK30,sK27) ),
inference(resolution,[],[f276,f385]) ).
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(f646,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
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(f693,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(f850,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(f859,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(f1263,plain,
para(sK30,sK27,sK30,sK27),
inference(resolution,[],[f533,f419]) ).
fof(f1759,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f645,f309]) ).
fof(f1794,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f646,f291]) ).
fof(f1946,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f663,f313]) ).
fof(f1947,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f663,f312]) ).
fof(f1957,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1946,f1947]) ).
fof(f2345,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,[],[f693,f346]) ).
fof(f3736,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,[],[f850,f859]) ).
fof(f3743,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3736]) ).
fof(f12480,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1759,f1263]) ).
fof(f12991,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f12480,f337]) ).
fof(f12992,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f12480,f1957]) ).
fof(f12997,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f12480,f335]) ).
fof(f13031,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f12997,f12480]) ).
fof(f13036,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f12991,f272]) ).
fof(f13265,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13036,f271]) ).
fof(f13377,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f13265,f273]) ).
fof(f13407,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f13377,f13265]) ).
fof(f15415,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f12992,f287]) ).
fof(f15448,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f15415,f12992]) ).
fof(f15582,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,[],[f1794,f314]) ).
fof(f15595,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,[],[f15582]) ).
fof(f15596,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f15595,f15448]) ).
fof(f15610,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f15596,f15448]) ).
fof(f15613,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f15610,f15448]) ).
fof(f15616,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f15613,f338]) ).
fof(f15647,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f15616,f13407]) ).
fof(f20411,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f13031,f15647]) ).
fof(f24000,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2345,f15613]) ).
fof(f24111,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f24000,f20411]) ).
fof(f24117,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f24111,f20411]) ).
fof(f24120,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f24117,f338]) ).
fof(f24270,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f24120,f13407]) ).
fof(f24369,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f24270,f3743]) ).
fof(f24428,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f24369,f24270]) ).
fof(f25534,plain,
$false,
inference(resolution,[],[f24428,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO629+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n002.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 08:43:21 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.44 Running first-order model finding
% 0.13/0.44 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
% 6.64/1.46 % (3239297)Will run a generic schedule for satisfiability detection.
% 6.64/1.46 % (3239306)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2364161926:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.64/1.46 % (3239303)% WARNING: option uhcvi not known.
% 6.64/1.46 % (3239302)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2813928378_2999 on theBenchmark for (2999ds/0Mi)
% 6.64/1.46 % (3239303)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2553108007:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.64/1.46 % (3239304)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3941301746:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.64/1.46 % (3239305)dis+10_1_sil=32000:sp=arity:random_seed=4012248706:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.64/1.46 % (3239307)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=129987758:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.46 % (3239308)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3438267226:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.64/1.46 % TRYING [1]
% 6.64/1.46 % TRYING [2]
% 6.64/1.46 % (3239306)Instruction limit reached!
% 6.64/1.46 % (3239306)------------------------------
% 6.64/1.46 % (3239306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.46 % (3239306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.46 % (3239306)CaDiCaL version: 2.1.3
% 6.64/1.46 % (3239306)Termination reason: Instruction limit
% 6.64/1.46 % (3239306)Termination phase: Saturation
% 6.64/1.46 % (3239306)Time elapsed: 0.039 s
% 6.64/1.46 % (3239306)Peak memory usage: 13 MB
% 6.64/1.46 % (3239306)Instructions burned: 119 (million)
% 6.64/1.46 % TRYING [3]
% 6.64/1.46 % (3239316)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3051511043:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.64/1.46 % TRYING [1]
% 6.64/1.46 % TRYING [2]
% 6.64/1.46 % (3239305)Instruction limit reached!
% 6.64/1.46 % (3239305)------------------------------
% 6.64/1.46 % (3239305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.46 % (3239305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.46 % (3239305)CaDiCaL version: 2.1.3
% 6.64/1.46 % (3239305)Termination reason: Instruction limit
% 6.64/1.46 % (3239305)Termination phase: Saturation
% 6.64/1.46 % (3239305)Time elapsed: 0.068 s
% 6.64/1.46 % (3239305)Peak memory usage: 13 MB
% 6.64/1.46 % (3239305)Instructions burned: 104 (million)
% 6.64/1.46 % TRYING [3]
% 6.64/1.46 % (3239307)Instruction limit reached!
% 6.64/1.46 % (3239307)------------------------------
% 6.64/1.46 % (3239307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.46 % (3239307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.46 % (3239307)CaDiCaL version: 2.1.3
% 6.64/1.46 % (3239307)Termination reason: Instruction limit
% 6.64/1.46 % (3239307)Termination phase: Saturation
% 6.64/1.46 % (3239307)Time elapsed: 0.082 s
% 6.64/1.46 % (3239307)Peak memory usage: 14 MB
% 6.64/1.46 % (3239307)Instructions burned: 132 (million)
% 6.64/1.46 % (3239318)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1336753504:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.64/1.46 % (3239308)Instruction limit reached!
% 6.64/1.46 % (3239308)------------------------------
% 6.64/1.46 % (3239308)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.46 % (3239308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.64/1.46 % (3239308)CaDiCaL version: 2.1.3
% 6.64/1.46 % (3239308)Termination reason: Instruction limit
% 6.64/1.46 % (3239308)Termination phase: Saturation
% 6.64/1.46 % (3239308)Time elapsed: 0.095 s
% 6.64/1.46 % (3239308)Peak memory usage: 15 MB
% 6.64/1.46 % (3239308)Instructions burned: 159 (million)
% 6.64/1.46 % (3239319)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=4141027557:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.64/1.46 % (3239321)ott-21_1_sil=16000:fs=off:random_seed=1388892621:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.64/1.46 % (3239318)Instruction limit reached!
% 6.64/1.46 % (3239318)------------------------------
% 6.64/1.46 % (3239318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.64/1.46 % (3239318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239318)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239318)Termination reason: Instruction limit
% 7.81/3.06 % (3239318)Termination phase: Saturation
% 7.81/3.06 % (3239318)Time elapsed: 0.082 s
% 7.81/3.06 % (3239318)Peak memory usage: 14 MB
% 7.81/3.06 % (3239318)Instructions burned: 131 (million)
% 7.81/3.06 % (3239316)Instruction limit reached!
% 7.81/3.06 % (3239316)------------------------------
% 7.81/3.06 % (3239316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239316)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239316)Termination reason: Instruction limit
% 7.81/3.06 % (3239316)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3239316)Time elapsed: 0.134 s
% 7.81/3.06 % (3239316)Peak memory usage: 24 MB
% 7.81/3.06 % (3239316)Instructions burned: 715 (million)
% 7.81/3.06 % (3239325)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1264604428:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.81/3.06 % (3239324)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=197301282:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.81/3.06 % TRYING [1]
% 7.81/3.06 % TRYING [2]
% 7.81/3.06 % (3239321)Instruction limit reached!
% 7.81/3.06 % (3239321)------------------------------
% 7.81/3.06 % (3239321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239321)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239321)Termination reason: Instruction limit
% 7.81/3.06 % (3239321)Termination phase: Saturation
% 7.81/3.06 % (3239321)Time elapsed: 0.095 s
% 7.81/3.06 % (3239321)Peak memory usage: 13 MB
% 7.81/3.06 % (3239321)Instructions burned: 180 (million)
% 7.81/3.06 % TRYING [3]
% 7.81/3.06 % (3239328)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2244194576:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.81/3.06 % (3239325)Instruction limit reached!
% 7.81/3.06 % (3239325)------------------------------
% 7.81/3.06 % (3239325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239325)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239325)Termination reason: Instruction limit
% 7.81/3.06 % (3239325)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3239325)Time elapsed: 0.164 s
% 7.81/3.06 % (3239325)Peak memory usage: 51 MB
% 7.81/3.06 % (3239325)Instructions burned: 870 (million)
% 7.81/3.06 % (3239330)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=7578203:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.81/3.06 % (3239330)Cannot represent all propositional literals internally
% 7.81/3.06 % (3239330)Refutation not found, incomplete strategy
% 7.81/3.06 % (3239330)------------------------------
% 7.81/3.06 % (3239330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239330)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239330)Termination reason: Refutation not found, incomplete strategy
% 7.81/3.06 % (3239330)Time elapsed: 0.006 s
% 7.81/3.06 % (3239330)Peak memory usage: 11 MB
% 7.81/3.06 % (3239330)Instructions burned: 13 (million)
% 7.81/3.06 % (3239330)------------------------------
% 7.81/3.06 % (3239330)------------------------------
% 7.81/3.06 % (3239332)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=2258477455: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)
% 7.81/3.06 % (3239324)Instruction limit reached!
% 7.81/3.06 % (3239324)------------------------------
% 7.81/3.06 % (3239324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239324)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239324)Termination reason: Instruction limit
% 7.81/3.06 % (3239324)Termination phase: Saturation
% 7.81/3.06 % (3239324)Time elapsed: 0.279 s
% 7.81/3.06 % (3239324)Peak memory usage: 15 MB
% 7.81/3.06 % (3239324)Instructions burned: 478 (million)
% 7.81/3.06 % (3239334)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2898496325:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.81/3.06 % (3239319)Instruction limit reached!
% 7.81/3.06 % (3239319)------------------------------
% 7.81/3.06 % (3239319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239319)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239319)Termination reason: Instruction limit
% 7.81/3.06 % (3239319)Termination phase: Saturation
% 7.81/3.06 % (3239319)Time elapsed: 0.400 s
% 7.81/3.06 % (3239319)Peak memory usage: 18 MB
% 7.81/3.06 % (3239319)Instructions burned: 685 (million)
% 7.81/3.06 % (3239336)fmb+10_1_sil=64000:random_seed=1726811896:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 7.81/3.06 % TRYING [1]
% 7.81/3.06 % TRYING [2]
% 7.81/3.06 % (3239332)Instruction limit reached!
% 7.81/3.06 % (3239332)------------------------------
% 7.81/3.06 % (3239332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239332)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239332)Termination reason: Instruction limit
% 7.81/3.06 % (3239332)Termination phase: Saturation
% 7.81/3.06 % (3239332)Time elapsed: 0.193 s
% 7.81/3.06 % (3239332)Peak memory usage: 16 MB
% 7.81/3.06 % (3239332)Instructions burned: 696 (million)
% 7.81/3.06 % (3239338)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1958947676:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 7.81/3.06 % (3239338)Cannot represent all propositional literals internally
% 7.81/3.06 % (3239338)Refutation not found, incomplete strategy
% 7.81/3.06 % (3239338)------------------------------
% 7.81/3.06 % (3239338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239338)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239338)Termination reason: Refutation not found, incomplete strategy
% 7.81/3.06 % (3239338)Time elapsed: 0.003 s
% 7.81/3.06 % (3239338)Peak memory usage: 10 MB
% 7.81/3.06 % (3239338)Instructions burned: 13 (million)
% 7.81/3.06 % (3239338)------------------------------
% 7.81/3.06 % (3239338)------------------------------
% 7.81/3.06 % TRYING [3]
% 7.81/3.06 % (3239340)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=651432066:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 7.81/3.06 % TRYING [8]
% 7.81/3.06 % (3239340)Instruction limit reached!
% 7.81/3.06 % (3239340)------------------------------
% 7.81/3.06 % (3239340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239340)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239340)Termination reason: Instruction limit
% 7.81/3.06 % (3239340)Termination phase: Finite model building constraint generation
% 7.81/3.06 % (3239340)Time elapsed: 0.154 s
% 7.81/3.06 % (3239340)Peak memory usage: 46 MB
% 7.81/3.06 % (3239340)Instructions burned: 926 (million)
% 7.81/3.06 % (3239342)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2507790755:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 7.81/3.06 % (3239328)Instruction limit reached!
% 7.81/3.06 % (3239328)------------------------------
% 7.81/3.06 % (3239328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239328)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239328)Termination reason: Instruction limit
% 7.81/3.06 % (3239328)Termination phase: Saturation
% 7.81/3.06 % (3239328)Time elapsed: 0.710 s
% 7.81/3.06 % (3239328)Peak memory usage: 25 MB
% 7.81/3.06 % (3239328)Instructions burned: 1179 (million)
% 7.81/3.06 % (3239344)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2437020840:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 7.81/3.06 % (3239334)Instruction limit reached!
% 7.81/3.06 % (3239334)------------------------------
% 7.81/3.06 % (3239334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239334)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239334)Termination reason: Instruction limit
% 7.81/3.06 % (3239334)Termination phase: Saturation
% 7.81/3.06 % (3239334)Time elapsed: 0.473 s
% 7.81/3.06 % (3239334)Peak memory usage: 17 MB
% 7.81/3.06 % (3239334)Instructions burned: 879 (million)
% 7.81/3.06 % (3239346)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1632341907:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 7.81/3.06 % (3239346)Cannot represent all propositional literals internally
% 7.81/3.06 % (3239346)Refutation not found, incomplete strategy
% 7.81/3.06 % (3239346)------------------------------
% 7.81/3.06 % (3239346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239346)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239346)Termination reason: Refutation not found, incomplete strategy
% 7.81/3.06 % (3239346)Time elapsed: 0.008 s
% 7.81/3.06 % (3239346)Peak memory usage: 11 MB
% 7.81/3.06 % (3239346)Instructions burned: 16 (million)
% 7.81/3.06 % (3239346)------------------------------
% 7.81/3.06 % (3239346)------------------------------
% 7.81/3.06 % (3239348)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4008231480:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 7.81/3.06 % (3239348)Cannot represent all propositional literals internally
% 7.81/3.06 % (3239348)Refutation not found, incomplete strategy
% 7.81/3.06 % (3239348)------------------------------
% 7.81/3.06 % (3239348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239348)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239348)Termination reason: Refutation not found, incomplete strategy
% 7.81/3.06 % (3239348)Time elapsed: 0.082 s
% 7.81/3.06 % (3239348)Peak memory usage: 12 MB
% 7.81/3.06 % (3239348)Instructions burned: 167 (million)
% 7.81/3.06 % (3239348)------------------------------
% 7.81/3.06 % (3239348)------------------------------
% 7.81/3.06 % (3239350)ott-2_1_sil=16000:newcnf=on:random_seed=677793862:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 7.81/3.06 % (3239350)Instruction limit reached!
% 7.81/3.06 % (3239350)------------------------------
% 7.81/3.06 % (3239350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239350)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239350)Termination reason: Instruction limit
% 7.81/3.06 % (3239350)Termination phase: Saturation
% 7.81/3.06 % (3239350)Time elapsed: 0.536 s
% 7.81/3.06 % (3239350)Peak memory usage: 18 MB
% 7.81/3.06 % (3239350)Instructions burned: 869 (million)
% 7.81/3.06 % (3239352)ott+10_1_sil=32000:tgt=ground:random_seed=451552310:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 7.81/3.06 % (3239344)Instruction limit reached!
% 7.81/3.06 % (3239344)------------------------------
% 7.81/3.06 % (3239344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239344)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239344)Termination reason: Instruction limit
% 7.81/3.06 % (3239344)Termination phase: Saturation
% 7.81/3.06 % (3239344)Time elapsed: 0.903 s
% 7.81/3.06 % (3239344)Peak memory usage: 28 MB
% 7.81/3.06 % (3239344)Instructions burned: 1473 (million)
% 7.81/3.06 % (3239354)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3204971163:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 7.81/3.06 % TRYING [1]
% 7.81/3.06 % TRYING [2]
% 7.81/3.06 % TRYING [3]
% 7.81/3.06 % TRYING [4]
% 7.81/3.06 % (3239342)Instruction limit reached!
% 7.81/3.06 % (3239342)------------------------------
% 7.81/3.06 % (3239342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239342)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239342)Termination reason: Instruction limit
% 7.81/3.06 % (3239342)Termination phase: Saturation
% 7.81/3.06 % (3239342)Time elapsed: 1.711 s
% 7.81/3.06 % (3239342)Peak memory usage: 36 MB
% 7.81/3.06 % (3239342)Instructions burned: 5138 (million)
% 7.81/3.06 % (3239356)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2467125882:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 7.81/3.06 % (3239352) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3239297-3239352"...
% 7.81/3.06 % (3239352)...printing done.
% 7.81/3.06 % (3239352)Refutation found. Thanks to Tanya!
% 7.81/3.06 % SZS status Theorem for theBenchmark
% 7.81/3.06 % SZS output start Proof for theBenchmark
% See solution above
% 7.81/3.06 % (3239352)------------------------------
% 7.81/3.06 % (3239352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.81/3.06 % (3239352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.81/3.06 % (3239352)CaDiCaL version: 2.1.3
% 7.81/3.06 % (3239352)Termination reason: Refutation
% 7.81/3.06 % (3239352)Time elapsed: 0.863 s
% 7.81/3.06 % (3239352)Peak memory usage: 28 MB
% 7.81/3.06 % (3239352)Instructions burned: 1397 (million)
% 7.81/3.06 % (3239297)Success in time 2.61 s
% 7.81/3.06 % Vampire exiting
%------------------------------------------------------------------------------