%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO574+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 : n018.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 09:54:46 AM UTC 2026
% Result : Theorem 7.88s 3.05s
% Output : Refutation 7.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 143 ( 24 unt; 0 def)
% Number of atoms : 370 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 380 ( 153 ~; 149 |; 52 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 619 ( 603 !; 16 ?)
% 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] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214036) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) )
=> eqangle(X7,X0,X0,X1,X1,X0,X0,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(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] :
( ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X7,X0,X0,X1,X1,X0,X0,X3)
& circle(X3,X0,X1,X2)
& perp(X4,X2,X0,X1)
& coll(X4,X0,X1)
& perp(X5,X1,X0,X2)
& coll(X5,X0,X2)
& coll(X6,X2,X4)
& coll(X6,X1,X5)
& circle(X7,X0,X6,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK27,sK20,sK20,sK21,sK21,sK20,sK20,sK23)
& circle(sK23,sK20,sK21,sK22)
& perp(sK24,sK22,sK20,sK21)
& coll(sK24,sK20,sK21)
& perp(sK25,sK21,sK20,sK22)
& coll(sK25,sK20,sK22)
& coll(sK26,sK22,sK24)
& coll(sK26,sK21,sK25)
& circle(sK27,sK20,sK26,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(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(f388,plain,
perp(sK25,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK27,sK20,sK20,sK21,sK21,sK20,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f421,plain,
perp(sK20,sK22,sK25,sK21),
inference(resolution,[],[f278,f388]) ).
fof(f492,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f530,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f388]) ).
fof(f541,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK25,sK21) ),
inference(resolution,[],[f279,f421]) ).
fof(f604,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(f612,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f617,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(f639,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(f954,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(f1036,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(f1042,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,[],[f1036]) ).
fof(f1151,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f530,f421]) ).
fof(f1503,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f604,f309]) ).
fof(f1641,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f612,f309]) ).
fof(f1684,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f617,f313]) ).
fof(f1685,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f617,f312]) ).
fof(f1695,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1684,f1685]) ).
fof(f2016,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,[],[f639,f346]) ).
fof(f3607,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,[],[f954,f604]) ).
fof(f6180,plain,
para(sK25,sK21,sK25,sK21),
inference(resolution,[],[f541,f388]) ).
fof(f11168,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1503,f6180]) ).
fof(f11171,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11168,f337]) ).
fof(f11176,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11168,f335]) ).
fof(f11197,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11176,f11168]) ).
fof(f11213,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11171,f272]) ).
fof(f11458,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11213,f271]) ).
fof(f11688,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1695,f11168]) ).
fof(f11690,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(resolution,[],[f1695,f1151]) ).
fof(f11699,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11458,f273]) ).
fof(f11742,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11699,f11458]) ).
fof(f14744,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(resolution,[],[f11690,f1042]) ).
fof(f14750,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(duplicate_literal_removal,[],[f14744]) ).
fof(f14751,plain,
cong(sK22,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f14750,f11688]) ).
fof(f15893,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f11688,f1042]) ).
fof(f15906,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f15893]) ).
fof(f15909,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f15906,f11688]) ).
fof(f16765,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f15909,f338]) ).
fof(f16796,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16765,f11742]) ).
fof(f19147,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11197,f16796]) ).
fof(f23554,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK22,X0,sK22)
| ~ midp(X1,sK22,sK22) ),
inference(resolution,[],[f2016,f14751]) ).
fof(f23617,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK22,X0,sK22) ),
inference(forward_subsumption_resolution,[],[f23554,f19147]) ).
fof(f23681,plain,
! [X0,X1] : cong(X1,sK22,X0,sK22),
inference(forward_subsumption_resolution,[],[f23617,f19147]) ).
fof(f23749,plain,
! [X0,X1] : cong(X0,sK22,sK22,X1),
inference(resolution,[],[f23681,f293]) ).
fof(f24001,plain,
! [X0] : para(sK22,X0,sK22,sK22),
inference(resolution,[],[f23749,f1641]) ).
fof(f24002,plain,
! [X0] : para(sK22,sK22,sK22,X0),
inference(resolution,[],[f23749,f492]) ).
fof(f24473,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK22,sK22,X1)
| midp(X0,sK22,X1) ),
inference(resolution,[],[f24001,f335]) ).
fof(f24478,plain,
! [X0,X1] :
( ~ para(sK22,sK22,sK22,X1)
| midp(X0,sK22,X1) ),
inference(forward_subsumption_resolution,[],[f24473,f19147]) ).
fof(f24480,plain,
! [X0,X1] : midp(X0,sK22,X1),
inference(forward_subsumption_resolution,[],[f24478,f24002]) ).
fof(f24498,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK22,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f24480,f315]) ).
fof(f24534,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f24498,f24480]) ).
fof(f33482,plain,
( ~ para(sK27,sK20,sK21,sK20)
| ~ para(sK20,sK21,sK20,sK23) ),
inference(resolution,[],[f3607,f392]) ).
fof(f33532,plain,
~ para(sK27,sK20,sK21,sK20),
inference(forward_subsumption_resolution,[],[f33482,f24534]) ).
fof(f33544,plain,
$false,
inference(forward_subsumption_resolution,[],[f33532,f24534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO574+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:35:23 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.85/1.43 % (2030059)Will run a generic schedule for satisfiability detection.
% 6.85/1.43 % (2030069)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1162761709:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.85/1.43 % (2030065)% WARNING: option uhcvi not known.
% 6.85/1.43 % (2030064)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1510733004_2999 on theBenchmark for (2999ds/0Mi)
% 6.85/1.43 % (2030066)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3390030287:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.85/1.43 % (2030067)dis+10_1_sil=32000:sp=arity:random_seed=3808254035:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.85/1.43 % (2030068)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2626196823:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.85/1.43 % (2030070)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=92145240:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.85/1.43 % (2030065)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2094708357:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.85/1.43 % TRYING [1]
% 6.85/1.43 % TRYING [2]
% 6.85/1.43 % (2030069)Instruction limit reached!
% 6.85/1.43 % (2030069)------------------------------
% 6.85/1.43 % (2030069)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.85/1.43 % (2030069)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.43 % (2030069)CaDiCaL version: 2.1.3
% 6.85/1.43 % (2030069)Termination reason: Instruction limit
% 6.85/1.43 % (2030069)Termination phase: Saturation
% 6.85/1.43 % (2030069)Time elapsed: 0.047 s
% 6.85/1.43 % (2030069)Peak memory usage: 14 MB
% 6.85/1.43 % (2030069)Instructions burned: 132 (million)
% 6.85/1.43 % TRYING [3]
% 6.85/1.43 % (2030078)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3260013885:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.85/1.43 % TRYING [1]
% 6.85/1.43 % TRYING [2]
% 6.85/1.43 % (2030067)Instruction limit reached!
% 6.85/1.43 % (2030067)------------------------------
% 6.85/1.43 % (2030067)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.85/1.43 % (2030067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.43 % (2030067)CaDiCaL version: 2.1.3
% 6.85/1.43 % (2030067)Termination reason: Instruction limit
% 6.85/1.43 % (2030067)Termination phase: Saturation
% 6.85/1.43 % (2030067)Time elapsed: 0.068 s
% 6.85/1.43 % (2030067)Peak memory usage: 12 MB
% 6.85/1.43 % (2030067)Instructions burned: 103 (million)
% 6.85/1.43 % (2030068)Instruction limit reached!
% 6.85/1.43 % (2030068)------------------------------
% 6.85/1.43 % (2030068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.85/1.43 % (2030068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.43 % (2030068)CaDiCaL version: 2.1.3
% 6.85/1.43 % (2030068)Termination reason: Instruction limit
% 6.85/1.43 % (2030068)Termination phase: Saturation
% 6.85/1.43 % (2030068)Time elapsed: 0.070 s
% 6.85/1.43 % (2030068)Peak memory usage: 13 MB
% 6.85/1.43 % (2030068)Instructions burned: 116 (million)
% 6.85/1.43 % TRYING [3]
% 6.85/1.43 % (2030080)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2762020418:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.85/1.43 % (2030081)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=401810195:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.85/1.43 % (2030070)Instruction limit reached!
% 6.85/1.43 % (2030070)------------------------------
% 6.85/1.43 % (2030070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.85/1.43 % (2030070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.85/1.43 % (2030070)CaDiCaL version: 2.1.3
% 6.85/1.43 % (2030070)Termination reason: Instruction limit
% 6.85/1.43 % (2030070)Termination phase: Saturation
% 6.85/1.43 % (2030070)Time elapsed: 0.097 s
% 6.85/1.43 % (2030070)Peak memory usage: 14 MB
% 6.85/1.43 % (2030070)Instructions burned: 160 (million)
% 6.85/1.43 % (2030084)ott-21_1_sil=16000:fs=off:random_seed=208730460:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.85/1.43 % (2030080)Instruction limit reached!
% 6.85/1.43 % (2030080)------------------------------
% 6.85/1.43 % (2030080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.85/1.43 % (2030080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030080)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030080)Termination reason: Instruction limit
% 7.88/3.05 % (2030080)Termination phase: Saturation
% 7.88/3.05 % (2030080)Time elapsed: 0.084 s
% 7.88/3.05 % (2030080)Peak memory usage: 14 MB
% 7.88/3.05 % (2030080)Instructions burned: 131 (million)
% 7.88/3.05 % (2030078)Instruction limit reached!
% 7.88/3.05 % (2030078)------------------------------
% 7.88/3.05 % (2030078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030078)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030078)Termination reason: Instruction limit
% 7.88/3.05 % (2030078)Termination phase: Finite model building constraint generation
% 7.88/3.05 % (2030078)Time elapsed: 0.136 s
% 7.88/3.05 % (2030078)Peak memory usage: 24 MB
% 7.88/3.05 % (2030078)Instructions burned: 719 (million)
% 7.88/3.05 % (2030086)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4236347783:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.88/3.05 % (2030087)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3110470775:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 7.88/3.05 % TRYING [1]
% 7.88/3.05 % TRYING [2]
% 7.88/3.05 % (2030084)Instruction limit reached!
% 7.88/3.05 % (2030084)------------------------------
% 7.88/3.05 % (2030084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030084)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030084)Termination reason: Instruction limit
% 7.88/3.05 % (2030084)Termination phase: Saturation
% 7.88/3.05 % (2030084)Time elapsed: 0.095 s
% 7.88/3.05 % (2030084)Peak memory usage: 12 MB
% 7.88/3.05 % (2030084)Instructions burned: 181 (million)
% 7.88/3.05 % (2030090)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1116121429:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 7.88/3.05 % TRYING [3]
% 7.88/3.05 % (2030087)Instruction limit reached!
% 7.88/3.05 % (2030087)------------------------------
% 7.88/3.05 % (2030087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030087)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030087)Termination reason: Instruction limit
% 7.88/3.05 % (2030087)Termination phase: Finite model building constraint generation
% 7.88/3.05 % (2030087)Time elapsed: 0.165 s
% 7.88/3.05 % (2030087)Peak memory usage: 50 MB
% 7.88/3.05 % (2030087)Instructions burned: 865 (million)
% 7.88/3.05 % (2030092)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=518378390:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 7.88/3.05 % (2030092)Cannot represent all propositional literals internally
% 7.88/3.05 % (2030092)Refutation not found, incomplete strategy
% 7.88/3.05 % (2030092)------------------------------
% 7.88/3.05 % (2030092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030092)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030092)Termination reason: Refutation not found, incomplete strategy
% 7.88/3.05 % (2030092)Time elapsed: 0.003 s
% 7.88/3.05 % (2030092)Peak memory usage: 10 MB
% 7.88/3.05 % (2030092)Instructions burned: 13 (million)
% 7.88/3.05 % (2030092)------------------------------
% 7.88/3.05 % (2030092)------------------------------
% 7.88/3.05 % (2030094)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=77340843: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)
% 7.88/3.05 % (2030086)Instruction limit reached!
% 7.88/3.05 % (2030086)------------------------------
% 7.88/3.05 % (2030086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030086)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030086)Termination reason: Instruction limit
% 7.88/3.05 % (2030086)Termination phase: Saturation
% 7.88/3.05 % (2030086)Time elapsed: 0.280 s
% 7.88/3.05 % (2030086)Peak memory usage: 14 MB
% 7.88/3.05 % (2030086)Instructions burned: 477 (million)
% 7.88/3.05 % (2030081)Instruction limit reached!
% 7.88/3.05 % (2030081)------------------------------
% 7.88/3.05 % (2030081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030081)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030081)Termination reason: Instruction limit
% 7.88/3.05 % (2030081)Termination phase: Saturation
% 7.88/3.05 % (2030081)Time elapsed: 0.397 s
% 7.88/3.05 % (2030081)Peak memory usage: 20 MB
% 7.88/3.05 % (2030081)Instructions burned: 684 (million)
% 7.88/3.05 % (2030096)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1790450341:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 7.88/3.05 % (2030097)fmb+10_1_sil=64000:random_seed=3630960464:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 7.88/3.05 % TRYING [1]
% 7.88/3.05 % TRYING [2]
% 7.88/3.05 % TRYING [3]
% 7.88/3.05 % (2030094)Instruction limit reached!
% 7.88/3.05 % (2030094)------------------------------
% 7.88/3.05 % (2030094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030094)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030094)Termination reason: Instruction limit
% 7.88/3.05 % (2030094)Termination phase: Saturation
% 7.88/3.05 % (2030094)Time elapsed: 0.247 s
% 7.88/3.05 % (2030094)Peak memory usage: 22 MB
% 7.88/3.05 % (2030094)Instructions burned: 693 (million)
% 7.88/3.05 % (2030100)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2609336379:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 7.88/3.05 % (2030100)Cannot represent all propositional literals internally
% 7.88/3.05 % (2030100)Refutation not found, incomplete strategy
% 7.88/3.05 % (2030100)------------------------------
% 7.88/3.05 % (2030100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030100)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030100)Termination reason: Refutation not found, incomplete strategy
% 7.88/3.05 % (2030100)Time elapsed: 0.003 s
% 7.88/3.05 % (2030100)Peak memory usage: 10 MB
% 7.88/3.05 % (2030100)Instructions burned: 13 (million)
% 7.88/3.05 % (2030100)------------------------------
% 7.88/3.05 % (2030100)------------------------------
% 7.88/3.05 % (2030102)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=593542273:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 7.88/3.05 % TRYING [8]
% 7.88/3.05 % (2030102)Instruction limit reached!
% 7.88/3.05 % (2030102)------------------------------
% 7.88/3.05 % (2030102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030102)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030102)Termination reason: Instruction limit
% 7.88/3.05 % (2030102)Termination phase: Finite model building constraint generation
% 7.88/3.05 % (2030102)Time elapsed: 0.160 s
% 7.88/3.05 % (2030102)Peak memory usage: 46 MB
% 7.88/3.05 % (2030102)Instructions burned: 926 (million)
% 7.88/3.05 % (2030104)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=409336215:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 7.88/3.05 % (2030090)Instruction limit reached!
% 7.88/3.05 % (2030090)------------------------------
% 7.88/3.05 % (2030090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030090)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030090)Termination reason: Instruction limit
% 7.88/3.05 % (2030090)Termination phase: Saturation
% 7.88/3.05 % (2030090)Time elapsed: 0.721 s
% 7.88/3.05 % (2030090)Peak memory usage: 22 MB
% 7.88/3.05 % (2030090)Instructions burned: 1180 (million)
% 7.88/3.05 % (2030096)Instruction limit reached!
% 7.88/3.05 % (2030096)------------------------------
% 7.88/3.05 % (2030096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030096)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030096)Termination reason: Instruction limit
% 7.88/3.05 % (2030096)Termination phase: Saturation
% 7.88/3.05 % (2030096)Time elapsed: 0.470 s
% 7.88/3.05 % (2030096)Peak memory usage: 17 MB
% 7.88/3.05 % (2030096)Instructions burned: 880 (million)
% 7.88/3.05 % (2030106)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=281648227:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 7.88/3.05 % (2030107)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=472940846:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 7.88/3.05 % (2030107)Cannot represent all propositional literals internally
% 7.88/3.05 % (2030107)Refutation not found, incomplete strategy
% 7.88/3.05 % (2030107)------------------------------
% 7.88/3.05 % (2030107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030107)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030107)Termination reason: Refutation not found, incomplete strategy
% 7.88/3.05 % (2030107)Time elapsed: 0.008 s
% 7.88/3.05 % (2030107)Peak memory usage: 11 MB
% 7.88/3.05 % (2030107)Instructions burned: 16 (million)
% 7.88/3.05 % (2030107)------------------------------
% 7.88/3.05 % (2030107)------------------------------
% 7.88/3.05 % (2030110)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3180082009:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 7.88/3.05 % (2030110)Cannot represent all propositional literals internally
% 7.88/3.05 % (2030110)Refutation not found, incomplete strategy
% 7.88/3.05 % (2030110)------------------------------
% 7.88/3.05 % (2030110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030110)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030110)Termination reason: Refutation not found, incomplete strategy
% 7.88/3.05 % (2030110)Time elapsed: 0.082 s
% 7.88/3.05 % (2030110)Peak memory usage: 12 MB
% 7.88/3.05 % (2030110)Instructions burned: 166 (million)
% 7.88/3.05 % (2030110)------------------------------
% 7.88/3.05 % (2030110)------------------------------
% 7.88/3.05 % (2030112)ott-2_1_sil=16000:newcnf=on:random_seed=3164517592:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 7.88/3.05 % (2030112)Instruction limit reached!
% 7.88/3.05 % (2030112)------------------------------
% 7.88/3.05 % (2030112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030112)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030112)Termination reason: Instruction limit
% 7.88/3.05 % (2030112)Termination phase: Saturation
% 7.88/3.05 % (2030112)Time elapsed: 0.532 s
% 7.88/3.05 % (2030112)Peak memory usage: 17 MB
% 7.88/3.05 % (2030112)Instructions burned: 870 (million)
% 7.88/3.05 % (2030114)ott+10_1_sil=32000:tgt=ground:random_seed=3418460751:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 7.88/3.05 % (2030106)Instruction limit reached!
% 7.88/3.05 % (2030106)------------------------------
% 7.88/3.05 % (2030106)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030106)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030106)Termination reason: Instruction limit
% 7.88/3.05 % (2030106)Termination phase: Saturation
% 7.88/3.05 % (2030106)Time elapsed: 0.938 s
% 7.88/3.05 % (2030106)Peak memory usage: 30 MB
% 7.88/3.05 % (2030106)Instructions burned: 1472 (million)
% 7.88/3.05 % (2030116)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=424895462:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 7.88/3.05 % TRYING [1]
% 7.88/3.05 % TRYING [2]
% 7.88/3.05 % TRYING [3]
% 7.88/3.05 % (2030104)Instruction limit reached!
% 7.88/3.05 % (2030104)------------------------------
% 7.88/3.05 % (2030104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030104)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030104)Termination reason: Instruction limit
% 7.88/3.05 % (2030104)Termination phase: Saturation
% 7.88/3.05 % (2030104)Time elapsed: 1.705 s
% 7.88/3.05 % (2030104)Peak memory usage: 35 MB
% 7.88/3.05 % (2030104)Instructions burned: 5139 (million)
% 7.88/3.05 % (2030114) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2030059-2030114"...
% 7.88/3.05 % (2030114)...printing done.
% 7.88/3.05 % (2030114)Refutation found. Thanks to Tanya!
% 7.88/3.05 % SZS status Theorem for theBenchmark
% 7.88/3.05 % SZS output start Proof for theBenchmark
% See solution above
% 7.88/3.05 % (2030114)------------------------------
% 7.88/3.05 % (2030114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.88/3.05 % (2030114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/3.05 % (2030114)CaDiCaL version: 2.1.3
% 7.88/3.05 % (2030114)Termination reason: Refutation
% 7.88/3.05 % (2030114)Time elapsed: 0.894 s
% 7.88/3.05 % (2030114)Peak memory usage: 26 MB
% 7.88/3.05 % (2030114)Instructions burned: 1405 (million)
% 7.88/3.05 % (2030059)Success in time 2.635 s
% 7.88/3.05 % Vampire exiting
%------------------------------------------------------------------------------