%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO622+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 : n004.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 09:54:53 AM UTC 2026
% Result : Theorem 16.87s 2.95s
% Output : Refutation 16.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 25
% Syntax : Number of formulae : 162 ( 47 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 340 ( 137 ~; 134 |; 42 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 564 ( 550 !; 14 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/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(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(f54,axiom,
! [X0,X1,X2,X3] :
( ( circle(X3,X0,X1,X2)
& coll(X3,X0,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& para(X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& perp(X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& midpoint(X6,X0,X4)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110985) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& midpoint(X6,X0,X4)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) )
=> perp(X4,X5,X1,X2) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f100,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
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(ennf_transformation,[],[f9]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f112,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f111]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f121,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(f122,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f124,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(f126,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(f149,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(f150,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(f151,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
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(ennf_transformation,[],[f42]) ).
fof(f153,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,[],[f152]) ).
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(ennf_transformation,[],[f43]) ).
fof(f155,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,[],[f154]) ).
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(ennf_transformation,[],[f44]) ).
fof(f157,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,[],[f156]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f176,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(flattening,[],[f175]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f181]) ).
fof(f198,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f74]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f209]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f75]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(flattening,[],[f211]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X4,X5,X1,X2)
& circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) ),
inference(ennf_transformation,[],[f98]) ).
fof(f251,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X4,X5,X1,X2)
& circle(X3,X0,X1,X2)
& eqangle(X4,X0,X0,X2,X4,X0,X0,X1)
& coll(X4,X1,X2)
& perp(X0,X4,X6,X5)
& coll(X5,X0,X3) ),
inference(flattening,[],[f250]) ).
fof(f271,plain,
( ~ perp(sK24,sK25,sK21,sK22)
& circle(sK23,sK20,sK21,sK22)
& eqangle(sK24,sK20,sK20,sK22,sK24,sK20,sK20,sK21)
& coll(sK24,sK21,sK22)
& perp(sK20,sK24,sK26,sK25)
& coll(sK25,sK20,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f251]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f104]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f280,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,[],[f110]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f112]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
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(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f124]) ).
fof(f292,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,[],[f126]) ).
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,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(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) ),
inference(cnf_transformation,[],[f151]) ).
fof(f313,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,[],[f153]) ).
fof(f314,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,[],[f155]) ).
fof(f315,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,[],[f157]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(cnf_transformation,[],[f176]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f210]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f212]) ).
fof(f385,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f271]) ).
fof(f386,plain,
perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f271]) ).
fof(f387,plain,
coll(sK24,sK21,sK22),
inference(cnf_transformation,[],[f271]) ).
fof(f388,plain,
eqangle(sK24,sK20,sK20,sK22,sK24,sK20,sK20,sK21),
inference(cnf_transformation,[],[f271]) ).
fof(f389,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f271]) ).
fof(f390,plain,
~ perp(sK24,sK25,sK21,sK22),
inference(cnf_transformation,[],[f271]) ).
fof(f391,plain,
coll(sK25,sK23,sK20),
inference(resolution,[],[f272,f385]) ).
fof(f392,plain,
coll(sK24,sK22,sK21),
inference(resolution,[],[f272,f387]) ).
fof(f393,plain,
coll(sK20,sK25,sK23),
inference(resolution,[],[f273,f385]) ).
fof(f397,plain,
coll(sK22,sK24,sK21),
inference(resolution,[],[f392,f273]) ).
fof(f406,plain,
coll(sK22,sK21,sK24),
inference(resolution,[],[f397,f272]) ).
fof(f412,plain,
perp(sK26,sK25,sK20,sK24),
inference(resolution,[],[f279,f386]) ).
fof(f427,plain,
! [X0] :
( ~ coll(sK20,sK25,X0)
| coll(X0,sK23,sK20) ),
inference(resolution,[],[f274,f393]) ).
fof(f432,plain,
! [X0] :
( ~ coll(sK22,sK21,X0)
| coll(X0,sK24,sK22) ),
inference(resolution,[],[f274,f406]) ).
fof(f438,plain,
! [X0] :
( ~ coll(sK25,sK23,X0)
| coll(X0,sK20,sK25) ),
inference(resolution,[],[f274,f391]) ).
fof(f480,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[],[f325,f389]) ).
fof(f505,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK24)
| para(X0,X1,sK26,sK25) ),
inference(resolution,[],[f280,f386]) ).
fof(f545,plain,
coll(sK20,sK20,sK25),
inference(resolution,[],[f438,f391]) ).
fof(f550,plain,
coll(sK20,sK25,sK20),
inference(resolution,[],[f545,f272]) ).
fof(f551,plain,
coll(sK20,sK23,sK20),
inference(resolution,[],[f550,f427]) ).
fof(f557,plain,
coll(sK20,sK20,sK23),
inference(resolution,[],[f551,f272]) ).
fof(f572,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f289,f311]) ).
fof(f579,plain,
eqangle(sK20,sK22,sK24,sK20,sK20,sK21,sK24,sK20),
inference(resolution,[],[f290,f388]) ).
fof(f580,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f290,f311]) ).
fof(f584,plain,
! [X0] :
( ~ coll(sK20,sK20,X0)
| coll(X0,sK23,sK20) ),
inference(resolution,[],[f557,f274]) ).
fof(f596,plain,
eqangle(sK24,sK20,sK24,sK20,sK20,sK22,sK20,sK21),
inference(resolution,[],[f292,f388]) ).
fof(f597,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f292,f311]) ).
fof(f1083,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,[],[f315,f312]) ).
fof(f1089,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,[],[f1083]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ para(X0,X1,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| perp(X0,X1,sK21,sK22) ),
inference(resolution,[],[f480,f281]) ).
fof(f1175,plain,
para(sK20,sK22,sK20,sK21),
inference(resolution,[],[f579,f310]) ).
fof(f1190,plain,
coll(sK20,sK22,sK21),
inference(resolution,[],[f1175,f338]) ).
fof(f1194,plain,
para(sK20,sK21,sK20,sK22),
inference(resolution,[],[f1175,f276]) ).
fof(f1202,plain,
( para(sK24,sK20,sK24,sK20)
| ~ para(sK20,sK22,sK20,sK21) ),
inference(resolution,[],[f596,f345]) ).
fof(f1205,plain,
para(sK24,sK20,sK24,sK20),
inference(forward_subsumption_resolution,[],[f1202,f1175]) ).
fof(f1207,plain,
coll(sK22,sK20,sK21),
inference(resolution,[],[f1190,f273]) ).
fof(f1213,plain,
para(sK26,sK25,sK26,sK25),
inference(resolution,[],[f505,f412]) ).
fof(f1216,plain,
coll(sK22,sK21,sK20),
inference(resolution,[],[f1207,f272]) ).
fof(f1224,plain,
coll(sK20,sK24,sK22),
inference(resolution,[],[f1216,f432]) ).
fof(f1463,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| perp(X1,X0,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f572,f346]) ).
fof(f1545,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f580,f310]) ).
fof(f1571,plain,
coll(sK24,sK20,sK20),
inference(resolution,[],[f1205,f338]) ).
fof(f1602,plain,
coll(sK20,sK24,sK20),
inference(resolution,[],[f1571,f273]) ).
fof(f1630,plain,
! [X0] :
( ~ coll(sK20,sK24,X0)
| coll(X0,sK20,sK20) ),
inference(resolution,[],[f1602,f274]) ).
fof(f1732,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f597,f314]) ).
fof(f1733,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f597,f313]) ).
fof(f1743,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1732,f1733]) ).
fof(f2387,plain,
para(sK20,sK21,sK22,sK20),
inference(resolution,[],[f1194,f275]) ).
fof(f2443,plain,
para(sK22,sK20,sK20,sK21),
inference(resolution,[],[f2387,f276]) ).
fof(f2736,plain,
coll(sK22,sK20,sK20),
inference(resolution,[],[f1630,f1224]) ).
fof(f2772,plain,
coll(sK20,sK22,sK20),
inference(resolution,[],[f2736,f273]) ).
fof(f2786,plain,
coll(sK20,sK20,sK22),
inference(resolution,[],[f2772,f272]) ).
fof(f2804,plain,
coll(sK22,sK23,sK20),
inference(resolution,[],[f2786,f584]) ).
fof(f2828,plain,
coll(sK23,sK22,sK20),
inference(resolution,[],[f2804,f273]) ).
fof(f2877,plain,
coll(sK23,sK20,sK22),
inference(resolution,[],[f2828,f272]) ).
fof(f5533,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK20,sK21,sK22) ),
inference(resolution,[],[f1140,f2443]) ).
fof(f5534,plain,
perp(sK22,sK20,sK21,sK22),
inference(forward_subsumption_resolution,[],[f5533,f2877]) ).
fof(f7887,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1545,f1213]) ).
fof(f8136,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1743,f7887]) ).
fof(f9237,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f8136,f286]) ).
fof(f9239,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f8136,f288]) ).
fof(f9272,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f9239,f8136]) ).
fof(f9933,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f9237,f1089]) ).
fof(f9950,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f9933,f9272]) ).
fof(f9955,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f9950,f9272]) ).
fof(f11018,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f9955,f328]) ).
fof(f11047,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f11018,f9955]) ).
fof(f11552,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f11047,f280]) ).
fof(f11554,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f11047,f279]) ).
fof(f11564,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f11552,f11554]) ).
fof(f11819,plain,
! [X0,X1] :
( perp(X0,X1,sK21,sK22)
| ~ para(X1,X0,sK22,sK20) ),
inference(resolution,[],[f1463,f5534]) ).
fof(f11836,plain,
! [X0,X1] : perp(X0,X1,sK21,sK22),
inference(forward_subsumption_resolution,[],[f11819,f11564]) ).
fof(f12319,plain,
$false,
inference(resolution,[],[f11836,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO622+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 08:39:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.44/1.77 % (3206644)Will run a generic schedule for satisfiability detection.
% 8.44/1.77 % (3206649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1250842056_2999 on theBenchmark for (2999ds/0Mi)
% 8.44/1.77 % TRYING [1]
% 8.44/1.77 % TRYING [2]
% 8.44/1.77 % (3206650)% WARNING: option uhcvi not known.
% 8.44/1.77 % (3206653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=944043114:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.44/1.77 % (3206651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1990775792:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.44/1.77 % (3206652)dis+10_1_sil=32000:sp=arity:random_seed=1946372361:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.44/1.77 % (3206654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1391567026:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.44/1.77 % (3206655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4167435036:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.44/1.77 % (3206650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4233870164:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.44/1.77 % TRYING [3]
% 8.44/1.77 % (3206652)Instruction limit reached!
% 8.44/1.77 % (3206652)------------------------------
% 8.44/1.77 % (3206652)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.77 % (3206652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.77 % (3206652)CaDiCaL version: 2.1.3
% 8.44/1.77 % (3206652)Termination reason: Instruction limit
% 8.44/1.77 % (3206652)Termination phase: Saturation
% 8.44/1.77 % (3206652)Time elapsed: 0.066 s
% 8.44/1.77 % (3206652)Peak memory usage: 12 MB
% 8.44/1.77 % (3206652)Instructions burned: 103 (million)
% 8.44/1.77 % (3206653)Instruction limit reached!
% 8.44/1.77 % (3206653)------------------------------
% 8.44/1.77 % (3206653)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.77 % (3206653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.77 % (3206653)CaDiCaL version: 2.1.3
% 8.44/1.77 % (3206653)Termination reason: Instruction limit
% 8.44/1.77 % (3206653)Termination phase: Saturation
% 8.44/1.77 % (3206653)Time elapsed: 0.067 s
% 8.44/1.77 % (3206653)Peak memory usage: 12 MB
% 8.44/1.77 % (3206653)Instructions burned: 116 (million)
% 8.44/1.77 % (3206654)Instruction limit reached!
% 8.44/1.77 % (3206654)------------------------------
% 8.44/1.77 % (3206654)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.77 % (3206654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.77 % (3206654)CaDiCaL version: 2.1.3
% 8.44/1.77 % (3206654)Termination reason: Instruction limit
% 8.44/1.77 % (3206654)Termination phase: Saturation
% 8.44/1.77 % (3206654)Time elapsed: 0.085 s
% 8.44/1.77 % (3206654)Peak memory usage: 14 MB
% 8.44/1.77 % (3206654)Instructions burned: 132 (million)
% 8.44/1.77 % (3206664)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1773773025:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.44/1.77 % (3206663)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2940798734:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.44/1.77 % (3206655)Instruction limit reached!
% 8.44/1.77 % (3206655)------------------------------
% 8.44/1.77 % (3206655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.77 % (3206655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/1.77 % (3206655)CaDiCaL version: 2.1.3
% 8.44/1.77 % (3206655)Termination reason: Instruction limit
% 8.44/1.77 % (3206655)Termination phase: Saturation
% 8.44/1.77 % (3206655)Time elapsed: 0.092 s
% 8.44/1.77 % (3206655)Peak memory usage: 13 MB
% 8.44/1.77 % (3206655)Instructions burned: 163 (million)
% 8.44/1.77 % TRYING [1]
% 8.44/1.77 % TRYING [2]
% 8.44/1.77 % (3206667)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=591811964:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.44/1.77 % (3206668)ott-21_1_sil=16000:fs=off:random_seed=1375334342:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.44/1.77 % TRYING [3]
% 8.44/1.77 % (3206664)Instruction limit reached!
% 8.44/1.77 % (3206664)------------------------------
% 8.44/1.77 % (3206664)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.44/1.77 % (3206664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206664)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206664)Termination reason: Instruction limit
% 16.87/2.95 % (3206664)Termination phase: Saturation
% 16.87/2.95 % (3206664)Time elapsed: 0.085 s
% 16.87/2.95 % (3206664)Peak memory usage: 14 MB
% 16.87/2.95 % (3206664)Instructions burned: 132 (million)
% 16.87/2.95 % (3206671)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2754047953:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.87/2.95 % (3206668)Instruction limit reached!
% 16.87/2.95 % (3206668)------------------------------
% 16.87/2.95 % (3206668)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206668)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206668)Termination reason: Instruction limit
% 16.87/2.95 % (3206668)Termination phase: Saturation
% 16.87/2.95 % (3206668)Time elapsed: 0.095 s
% 16.87/2.95 % (3206668)Peak memory usage: 13 MB
% 16.87/2.95 % (3206668)Instructions burned: 181 (million)
% 16.87/2.95 % (3206673)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3000618802:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.87/2.95 % TRYING [1]
% 16.87/2.95 % TRYING [2]
% 16.87/2.95 % TRYING [3]
% 16.87/2.95 % (3206663)Instruction limit reached!
% 16.87/2.95 % (3206663)------------------------------
% 16.87/2.95 % (3206663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206663)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206663)Termination reason: Instruction limit
% 16.87/2.95 % (3206663)Termination phase: Finite model building constraint generation
% 16.87/2.95 % (3206663)Time elapsed: 0.250 s
% 16.87/2.95 % (3206663)Peak memory usage: 24 MB
% 16.87/2.95 % (3206663)Instructions burned: 714 (million)
% 16.87/2.95 % (3206675)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1554798106:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 16.87/2.95 % (3206671)Instruction limit reached!
% 16.87/2.95 % (3206671)------------------------------
% 16.87/2.95 % (3206671)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206671)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206671)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206671)Termination reason: Instruction limit
% 16.87/2.95 % (3206671)Termination phase: Saturation
% 16.87/2.95 % (3206671)Time elapsed: 0.282 s
% 16.87/2.95 % (3206671)Peak memory usage: 14 MB
% 16.87/2.95 % (3206671)Instructions burned: 477 (million)
% 16.87/2.95 % (3206677)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=46895067:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 16.87/2.95 % (3206677)Cannot represent all propositional literals internally
% 16.87/2.95 % (3206677)Refutation not found, incomplete strategy
% 16.87/2.95 % (3206677)------------------------------
% 16.87/2.95 % (3206677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206677)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206677)Termination reason: Refutation not found, incomplete strategy
% 16.87/2.95 % (3206677)Time elapsed: 0.006 s
% 16.87/2.95 % (3206677)Peak memory usage: 10 MB
% 16.87/2.95 % (3206677)Instructions burned: 12 (million)
% 16.87/2.95 % (3206677)------------------------------
% 16.87/2.95 % (3206677)------------------------------
% 16.87/2.95 % (3206667)Instruction limit reached!
% 16.87/2.95 % (3206667)------------------------------
% 16.87/2.95 % (3206667)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206667)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206667)Termination reason: Instruction limit
% 16.87/2.95 % (3206667)Termination phase: Saturation
% 16.87/2.95 % (3206667)Time elapsed: 0.403 s
% 16.87/2.95 % (3206667)Peak memory usage: 18 MB
% 16.87/2.95 % (3206667)Instructions burned: 685 (million)
% 16.87/2.95 % (3206679)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=2772547844:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 16.87/2.95 % (3206680)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2507253336:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.87/2.95 % (3206673)Instruction limit reached!
% 16.87/2.95 % (3206673)------------------------------
% 16.87/2.95 % (3206673)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206673)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206673)Termination reason: Instruction limit
% 16.87/2.95 % (3206673)Termination phase: Finite model building constraint generation
% 16.87/2.95 % (3206673)Time elapsed: 0.301 s
% 16.87/2.95 % (3206673)Peak memory usage: 50 MB
% 16.87/2.95 % (3206673)Instructions burned: 866 (million)
% 16.87/2.95 % (3206683)fmb+10_1_sil=64000:random_seed=1673051366:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 16.87/2.95 % TRYING [1]
% 16.87/2.95 % TRYING [2]
% 16.87/2.95 % TRYING [3]
% 16.87/2.95 % (3206679)Instruction limit reached!
% 16.87/2.95 % (3206679)------------------------------
% 16.87/2.95 % (3206679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206679)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206679)Termination reason: Instruction limit
% 16.87/2.95 % (3206679)Termination phase: Saturation
% 16.87/2.95 % (3206679)Time elapsed: 0.437 s
% 16.87/2.95 % (3206679)Peak memory usage: 19 MB
% 16.87/2.95 % (3206679)Instructions burned: 693 (million)
% 16.87/2.95 % (3206685)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3816372849:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 16.87/2.95 % (3206685)Cannot represent all propositional literals internally
% 16.87/2.95 % (3206685)Refutation not found, incomplete strategy
% 16.87/2.95 % (3206685)------------------------------
% 16.87/2.95 % (3206685)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206685)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206685)Termination reason: Refutation not found, incomplete strategy
% 16.87/2.95 % (3206685)Time elapsed: 0.006 s
% 16.87/2.95 % (3206685)Peak memory usage: 10 MB
% 16.87/2.95 % (3206685)Instructions burned: 12 (million)
% 16.87/2.95 % (3206685)------------------------------
% 16.87/2.95 % (3206685)------------------------------
% 16.87/2.95 % (3206680)Instruction limit reached!
% 16.87/2.95 % (3206680)------------------------------
% 16.87/2.95 % (3206680)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206680)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206680)Termination reason: Instruction limit
% 16.87/2.95 % (3206680)Termination phase: Saturation
% 16.87/2.95 % (3206680)Time elapsed: 0.466 s
% 16.87/2.95 % (3206680)Peak memory usage: 18 MB
% 16.87/2.95 % (3206680)Instructions burned: 880 (million)
% 16.87/2.95 % (3206687)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2294676848:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 16.87/2.95 % (3206688)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1985386234:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 16.87/2.95 % TRYING [8]
% 16.87/2.95 % (3206675)Instruction limit reached!
% 16.87/2.95 % (3206675)------------------------------
% 16.87/2.95 % (3206675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206675)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206675)Termination reason: Instruction limit
% 16.87/2.95 % (3206675)Termination phase: Saturation
% 16.87/2.95 % (3206675)Time elapsed: 0.734 s
% 16.87/2.95 % (3206675)Peak memory usage: 22 MB
% 16.87/2.95 % (3206675)Instructions burned: 1179 (million)
% 16.87/2.95 % (3206691)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4243585221:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 16.87/2.95 % (3206687)Instruction limit reached!
% 16.87/2.95 % (3206687)------------------------------
% 16.87/2.95 % (3206687)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206687)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206687)Termination reason: Instruction limit
% 16.87/2.95 % (3206687)Termination phase: Finite model building constraint generation
% 16.87/2.95 % (3206687)Time elapsed: 0.293 s
% 16.87/2.95 % (3206687)Peak memory usage: 46 MB
% 16.87/2.95 % (3206687)Instructions burned: 921 (million)
% 16.87/2.95 % (3206693)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=484378966:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 16.87/2.95 % (3206693)Cannot represent all propositional literals internally
% 16.87/2.95 % (3206693)Refutation not found, incomplete strategy
% 16.87/2.95 % (3206693)------------------------------
% 16.87/2.95 % (3206693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206693)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206693)Termination reason: Refutation not found, incomplete strategy
% 16.87/2.95 % (3206693)Time elapsed: 0.008 s
% 16.87/2.95 % (3206693)Peak memory usage: 11 MB
% 16.87/2.95 % (3206693)Instructions burned: 15 (million)
% 16.87/2.95 % (3206693)------------------------------
% 16.87/2.95 % (3206693)------------------------------
% 16.87/2.95 % (3206695)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2997775762:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 16.87/2.95 % (3206695)Cannot represent all propositional literals internally
% 16.87/2.95 % (3206695)Refutation not found, incomplete strategy
% 16.87/2.95 % (3206695)------------------------------
% 16.87/2.95 % (3206695)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206695)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206695)Termination reason: Refutation not found, incomplete strategy
% 16.87/2.95 % (3206695)Time elapsed: 0.083 s
% 16.87/2.95 % (3206695)Peak memory usage: 12 MB
% 16.87/2.95 % (3206695)Instructions burned: 166 (million)
% 16.87/2.95 % (3206695)------------------------------
% 16.87/2.95 % (3206695)------------------------------
% 16.87/2.95 % (3206697)ott-2_1_sil=16000:newcnf=on:random_seed=2791828261:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 16.87/2.95 % TRYING [4]
% 16.87/2.95 % (3206697)Instruction limit reached!
% 16.87/2.95 % (3206697)------------------------------
% 16.87/2.95 % (3206697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206697)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206697)Termination reason: Instruction limit
% 16.87/2.95 % (3206697)Termination phase: Saturation
% 16.87/2.95 % (3206697)Time elapsed: 0.558 s
% 16.87/2.95 % (3206697)Peak memory usage: 17 MB
% 16.87/2.95 % (3206697)Instructions burned: 870 (million)
% 16.87/2.95 % (3206699)ott+10_1_sil=32000:tgt=ground:random_seed=2919717622:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 16.87/2.95 % (3206691)Instruction limit reached!
% 16.87/2.95 % (3206691)------------------------------
% 16.87/2.95 % (3206691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206691)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206691)Termination reason: Instruction limit
% 16.87/2.95 % (3206691)Termination phase: Saturation
% 16.87/2.95 % (3206691)Time elapsed: 0.991 s
% 16.87/2.95 % (3206691)Peak memory usage: 33 MB
% 16.87/2.95 % (3206691)Instructions burned: 1473 (million)
% 16.87/2.95 % (3206701)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3436295959:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 16.87/2.95 % TRYING [1]
% 16.87/2.95 % TRYING [2]
% 16.87/2.95 % TRYING [3]
% 16.87/2.95 % (3206699) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3206644-3206699"...
% 16.87/2.95 % (3206699)...printing done.
% 16.87/2.95 % (3206699)Refutation found. Thanks to Tanya!
% 16.87/2.95 % SZS status Theorem for theBenchmark
% 16.87/2.95 % SZS output start Proof for theBenchmark
% See solution above
% 16.87/2.95 % (3206699)------------------------------
% 16.87/2.95 % (3206699)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.87/2.95 % (3206699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.87/2.95 % (3206699)CaDiCaL version: 2.1.3
% 16.87/2.95 % (3206699)Termination reason: Refutation
% 16.87/2.95 % (3206699)Time elapsed: 0.405 s
% 16.87/2.95 % (3206699)Peak memory usage: 19 MB
% 16.87/2.95 % (3206699)Instructions burned: 638 (million)
% 16.87/2.95 % (3206644)Success in time 2.538 s
% 16.87/2.95 % Vampire exiting
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