%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO610+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 09:54:51 AM UTC 2026
% Result : Theorem 29.31s 4.65s
% Output : Refutation 29.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 18
% Syntax : Number of formulae : 106 ( 15 unt; 2 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 413 ( 167 ~; 152 |; 77 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 9 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 : 530 ( 506 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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(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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) )
=> ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& eqangle(X4,X5,X5,X6,X4,X2,X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618072) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) )
=> ( eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
& ( eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
| eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
& ( eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& ( eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
| eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
& eqangle(X4,X5,X5,X6,X4,X2,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,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(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(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(f180,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(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f251,definition,
! [X1,X4,X2,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP0(X1,X4,X2,X6,X5) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X2,X1,X4,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP1(X2,X1,X4,X6,X5) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1)
| ( ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1)
& ~ eqangle(X5,X4,X4,X6,X2,X4,X4,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X2,X2,X1) )
| sP1(X2,X1,X4,X6,X5)
| sP0(X1,X4,X2,X6,X5)
| ~ eqangle(X4,X5,X5,X6,X4,X2,X2,X1) )
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X2)
& coll(X5,X0,X2)
& perp(X6,X4,X0,X1)
& coll(X6,X0,X1) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f273,plain,
! [X2,X1,X4,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X4,X1,X1,X2)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP1(X2,X1,X4,X6,X5) ),
inference(nnf_transformation,[],[f252]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X2,X2,X3,X2,X1,X1,X0) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f273]) ).
fof(f275,plain,
! [X1,X4,X2,X6,X5] :
( ( ~ eqangle(X4,X5,X5,X6,X2,X4,X4,X1)
& ~ eqangle(X5,X4,X4,X6,X4,X1,X1,X2) )
| ~ sP0(X1,X4,X2,X6,X5) ),
inference(nnf_transformation,[],[f251]) ).
fof(f276,plain,
! [X0,X1,X2,X3,X4] :
( ( ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0)
& ~ eqangle(X4,X1,X1,X3,X1,X0,X0,X2) )
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f275]) ).
fof(f277,plain,
( ( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23)
& ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23) )
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK23,sK23,sK24)
& ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) )
| ( ~ eqangle(sK26,sK27,sK27,sK28,sK24,sK26,sK26,sK23)
& ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23) )
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) )
& circle(sK25,sK22,sK23,sK24)
& circle(sK25,sK22,sK26,sK29)
& perp(sK27,sK26,sK22,sK24)
& coll(sK27,sK22,sK24)
& perp(sK28,sK26,sK22,sK23)
& coll(sK28,sK22,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29)],[f253]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f286,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(f294,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(f295,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,[],[f122]) ).
fof(f296,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(f297,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(f298,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,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(f316,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(f317,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(f318,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f319,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(f320,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(f321,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(f334,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f392,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X2,X4,X4,X3,X2,X1,X1,X0)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f274]) ).
fof(f394,plain,
! [X2,X3,X0,X1,X4] :
( ~ eqangle(X1,X4,X4,X3,X2,X1,X1,X0)
| ~ sP0(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f276]) ).
fof(f396,plain,
perp(sK28,sK26,sK22,sK23),
inference(cnf_transformation,[],[f277]) ).
fof(f401,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
inference(cnf_transformation,[],[f277]) ).
fof(f409,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK26,sK24,sK24,sK23)
| ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f439,plain,
perp(sK22,sK23,sK28,sK26),
inference(resolution,[],[f285,f396]) ).
fof(f543,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK23)
| para(X0,X1,sK28,sK26) ),
inference(resolution,[],[f286,f439]) ).
fof(f650,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f295,f318]) ).
fof(f656,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f296,f317]) ).
fof(f670,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f298,f317]) ).
fof(f1037,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,[],[f299,f317]) ).
fof(f1628,plain,
! [X2,X3,X0,X1] :
( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f650,f297]) ).
fof(f1689,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f656,f316]) ).
fof(f1690,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X0,X1,X5,X4,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f656,f295]) ).
fof(f1929,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f670,f320]) ).
fof(f1930,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f670,f319]) ).
fof(f1935,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1929,f1930]) ).
fof(f6872,plain,
para(sK28,sK26,sK28,sK26),
inference(resolution,[],[f543,f396]) ).
fof(f11352,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1689,f6872]) ).
fof(f11875,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1935,f11352]) ).
fof(f14844,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11875,f294]) ).
fof(f14874,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14844,f11875]) ).
fof(f16119,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f1628,f321]) ).
fof(f16122,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f16119]) ).
fof(f16123,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f16122,f14874]) ).
fof(f16136,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f16123,f14874]) ).
fof(f16138,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f16136,f14874]) ).
fof(f16166,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f16138,f334]) ).
fof(f16207,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f16166,f16138]) ).
fof(f16451,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f16207,f286]) ).
fof(f16453,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f16207,f285]) ).
fof(f16468,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f16451,f16453]) ).
fof(f16482,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X6,X7,X2,X3)
| ~ para(X5,X4,X6,X7) ),
inference(resolution,[],[f1690,f1037]) ).
fof(f16521,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X6,X7,X2,X3) ),
inference(forward_subsumption_resolution,[],[f16482,f16468]) ).
fof(f16533,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X4,X5,X0,X1,X6,X7,X2,X3),
inference(forward_subsumption_resolution,[],[f16521,f16468]) ).
fof(f20615,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27)
| ~ eqangle(sK26,sK27,sK27,sK28,sK26,sK24,sK24,sK23) ),
inference(resolution,[],[f16533,f409]) ).
fof(f20649,plain,
! [X2,X3,X0,X1,X4] : ~ sP1(X0,X1,X2,X3,X4),
inference(resolution,[],[f16533,f392]) ).
fof(f20650,plain,
! [X2,X3,X0,X1,X4] : ~ sP0(X0,X1,X2,X3,X4),
inference(resolution,[],[f16533,f394]) ).
fof(f20673,plain,
( ~ eqangle(sK27,sK26,sK26,sK28,sK24,sK26,sK26,sK23)
| sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f20615,f16533]) ).
fof(f20679,plain,
( sP1(sK24,sK23,sK26,sK28,sK27)
| sP0(sK23,sK26,sK24,sK28,sK27) ),
inference(forward_subsumption_resolution,[],[f20673,f16533]) ).
fof(f20683,plain,
sP0(sK23,sK26,sK24,sK28,sK27),
inference(forward_subsumption_resolution,[],[f20679,f20649]) ).
fof(f20685,plain,
$false,
inference(forward_subsumption_resolution,[],[f20683,f20650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO610+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.41 % Computer : n004.cluster.edu
% 0.14/0.41 % Model : x86_64 x86_64
% 0.14/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.41 % Memory : 8046.5625MB
% 0.14/0.41 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 08:38:07 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.47 Running first-order model finding
% 0.14/0.47 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
% 14.89/2.84 % (3202681)Will run a generic schedule for satisfiability detection.
% 14.89/2.84 % (3202686)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=777850104_2999 on theBenchmark for (2999ds/0Mi)
% 14.89/2.84 % (3202690)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1611572447:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 14.89/2.84 % (3202687)% WARNING: option uhcvi not known.
% 14.89/2.84 % (3202687)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2408923371:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 14.89/2.84 % (3202689)dis+10_1_sil=32000:sp=arity:random_seed=3846684077:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 14.89/2.84 % (3202691)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=581406629:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 14.89/2.84 % (3202692)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2850763560:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 14.89/2.84 % (3202688)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1282658912:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 14.89/2.84 % TRYING [1]
% 14.89/2.84 % TRYING [2]
% 14.89/2.84 % (3202690)Instruction limit reached!
% 14.89/2.84 % (3202690)------------------------------
% 14.89/2.84 % (3202690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.84 % (3202690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.84 % (3202690)CaDiCaL version: 2.1.3
% 14.89/2.84 % (3202690)Termination reason: Instruction limit
% 14.89/2.84 % (3202690)Termination phase: Saturation
% 14.89/2.84 % (3202690)Time elapsed: 0.108 s
% 14.89/2.84 % (3202690)Peak memory usage: 12 MB
% 14.89/2.84 % (3202690)Instructions burned: 116 (million)
% 14.89/2.84 % (3202689)Instruction limit reached!
% 14.89/2.84 % (3202689)------------------------------
% 14.89/2.84 % (3202689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.84 % (3202689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.84 % (3202689)CaDiCaL version: 2.1.3
% 14.89/2.84 % (3202689)Termination reason: Instruction limit
% 14.89/2.84 % (3202689)Termination phase: Saturation
% 14.89/2.84 % (3202689)Time elapsed: 0.103 s
% 14.89/2.84 % (3202689)Peak memory usage: 12 MB
% 14.89/2.84 % (3202689)Instructions burned: 103 (million)
% 14.89/2.84 % (3202691)Instruction limit reached!
% 14.89/2.84 % (3202691)------------------------------
% 14.89/2.84 % (3202691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.84 % (3202691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.84 % (3202691)CaDiCaL version: 2.1.3
% 14.89/2.84 % (3202691)Termination reason: Instruction limit
% 14.89/2.84 % (3202691)Termination phase: Saturation
% 14.89/2.84 % (3202691)Time elapsed: 0.130 s
% 14.89/2.84 % (3202691)Peak memory usage: 14 MB
% 14.89/2.84 % (3202691)Instructions burned: 131 (million)
% 14.89/2.84 % (3202701)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4022539827:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 14.89/2.84 % (3202700)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3541941843:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 14.89/2.84 % (3202703)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=489317458:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 14.89/2.84 % (3202692)Instruction limit reached!
% 14.89/2.84 % (3202692)------------------------------
% 14.89/2.84 % (3202692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.84 % (3202692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.89/2.84 % (3202692)CaDiCaL version: 2.1.3
% 14.89/2.84 % (3202692)Termination reason: Instruction limit
% 14.89/2.84 % (3202692)Termination phase: Saturation
% 14.89/2.84 % (3202692)Time elapsed: 0.158 s
% 14.89/2.84 % (3202692)Peak memory usage: 14 MB
% 14.89/2.84 % (3202692)Instructions burned: 160 (million)
% 14.89/2.84 % TRYING [1]
% 14.89/2.84 % TRYING [2]
% 14.89/2.84 % (3202706)ott-21_1_sil=16000:fs=off:random_seed=525337919:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 14.89/2.84 % (3202701)Instruction limit reached!
% 14.89/2.84 % (3202701)------------------------------
% 14.89/2.84 % (3202701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.89/2.84 % (3202701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202701)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202701)Termination reason: Instruction limit
% 29.31/4.65 % (3202701)Termination phase: Saturation
% 29.31/4.65 % (3202701)Time elapsed: 0.137 s
% 29.31/4.65 % (3202701)Peak memory usage: 14 MB
% 29.31/4.65 % (3202701)Instructions burned: 131 (million)
% 29.31/4.65 % (3202710)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1976346362:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 29.31/4.65 % TRYING [3]
% 29.31/4.65 % (3202706)Instruction limit reached!
% 29.31/4.65 % (3202706)------------------------------
% 29.31/4.65 % (3202706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202706)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202706)Termination reason: Instruction limit
% 29.31/4.65 % (3202706)Termination phase: Saturation
% 29.31/4.65 % (3202706)Time elapsed: 0.167 s
% 29.31/4.65 % (3202706)Peak memory usage: 12 MB
% 29.31/4.65 % (3202706)Instructions burned: 180 (million)
% 29.31/4.65 % TRYING [3]
% 29.31/4.65 % (3202712)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3962960948:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 29.31/4.65 % TRYING [1]
% 29.31/4.65 % TRYING [2]
% 29.31/4.65 % (3202700)Instruction limit reached!
% 29.31/4.65 % (3202700)------------------------------
% 29.31/4.65 % (3202700)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202700)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202700)Termination reason: Instruction limit
% 29.31/4.65 % (3202700)Termination phase: Finite model building constraint generation
% 29.31/4.65 % (3202700)Time elapsed: 0.472 s
% 29.31/4.65 % (3202700)Peak memory usage: 22 MB
% 29.31/4.65 % (3202700)Instructions burned: 715 (million)
% 29.31/4.65 % (3202720)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3950735335:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 29.31/4.65 % (3202710)Instruction limit reached!
% 29.31/4.65 % (3202710)------------------------------
% 29.31/4.65 % (3202710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202710)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202710)Termination reason: Instruction limit
% 29.31/4.65 % (3202710)Termination phase: Saturation
% 29.31/4.65 % (3202710)Time elapsed: 0.466 s
% 29.31/4.65 % (3202710)Peak memory usage: 14 MB
% 29.31/4.65 % (3202710)Instructions burned: 477 (million)
% 29.31/4.65 % (3202724)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1758434606:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 29.31/4.65 % (3202703)Instruction limit reached!
% 29.31/4.65 % (3202703)------------------------------
% 29.31/4.65 % (3202703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202703)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202703)Termination reason: Instruction limit
% 29.31/4.65 % (3202703)Termination phase: Saturation
% 29.31/4.65 % (3202703)Time elapsed: 0.655 s
% 29.31/4.65 % (3202703)Peak memory usage: 19 MB
% 29.31/4.65 % (3202703)Instructions burned: 684 (million)
% 29.31/4.65 % (3202726)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=4265990045:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 29.31/4.65 % (3202724)Cannot represent all propositional literals internally
% 29.31/4.65 % (3202724)Refutation not found, incomplete strategy
% 29.31/4.65 % (3202724)------------------------------
% 29.31/4.65 % (3202724)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202724)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202724)Termination reason: Refutation not found, incomplete strategy
% 29.31/4.65 % (3202724)Time elapsed: 0.064 s
% 29.31/4.65 % (3202724)Peak memory usage: 11 MB
% 29.31/4.65 % (3202724)Instructions burned: 79 (million)
% 29.31/4.65 % (3202724)------------------------------
% 29.31/4.65 % (3202724)------------------------------
% 29.31/4.65 % (3202728)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=747603867:i=879:kws=inv_precedence:fsr=off_2990 on theBenchmark for (2990ds/879Mi)
% 29.31/4.65 % TRYING [3]
% 29.31/4.65 % (3202712)Instruction limit reached!
% 29.31/4.65 % (3202712)------------------------------
% 29.31/4.65 % (3202712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202712)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202712)Termination reason: Instruction limit
% 29.31/4.65 % (3202712)Termination phase: Finite model building constraint generation
% 29.31/4.65 % (3202712)Time elapsed: 0.647 s
% 29.31/4.65 % (3202712)Peak memory usage: 41 MB
% 29.31/4.65 % (3202712)Instructions burned: 866 (million)
% 29.31/4.65 % (3202730)fmb+10_1_sil=64000:random_seed=4229466970:i=22061:nm=2:gsp=on_2989 on theBenchmark for (2989ds/22061Mi)
% 29.31/4.65 % TRYING [1]
% 29.31/4.65 % TRYING [2]
% 29.31/4.65 % TRYING [3]
% 29.31/4.65 % (3202726)Instruction limit reached!
% 29.31/4.65 % (3202726)------------------------------
% 29.31/4.65 % (3202726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202726)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202726)Termination reason: Instruction limit
% 29.31/4.65 % (3202726)Termination phase: Saturation
% 29.31/4.65 % (3202726)Time elapsed: 0.713 s
% 29.31/4.65 % (3202726)Peak memory usage: 21 MB
% 29.31/4.65 % (3202726)Instructions burned: 693 (million)
% 29.31/4.65 % (3202732)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2419514634:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 29.31/4.65 % (3202732)Cannot represent all propositional literals internally
% 29.31/4.65 % (3202732)Refutation not found, incomplete strategy
% 29.31/4.65 % (3202732)------------------------------
% 29.31/4.65 % (3202732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202732)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202732)Termination reason: Refutation not found, incomplete strategy
% 29.31/4.65 % (3202732)Time elapsed: 0.034 s
% 29.31/4.65 % (3202732)Peak memory usage: 11 MB
% 29.31/4.65 % (3202732)Instructions burned: 42 (million)
% 29.31/4.65 % (3202732)------------------------------
% 29.31/4.65 % (3202732)------------------------------
% 29.31/4.65 % (3202736)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3994226699:fmbsr=1.7:i=920_2983 on theBenchmark for (2983ds/920Mi)
% 29.31/4.65 % (3202728)Instruction limit reached!
% 29.31/4.65 % (3202728)------------------------------
% 29.31/4.65 % (3202728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202728)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202728)Termination reason: Instruction limit
% 29.31/4.65 % (3202728)Termination phase: Saturation
% 29.31/4.65 % (3202728)Time elapsed: 0.823 s
% 29.31/4.65 % (3202728)Peak memory usage: 18 MB
% 29.31/4.65 % (3202728)Instructions burned: 879 (million)
% 29.31/4.65 % TRYING [8]
% 29.31/4.65 % (3202738)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2272801206:i=5131_2982 on theBenchmark for (2982ds/5131Mi)
% 29.31/4.65 % (3202720)Instruction limit reached!
% 29.31/4.65 % (3202720)------------------------------
% 29.31/4.65 % (3202720)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202720)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202720)Termination reason: Instruction limit
% 29.31/4.65 % (3202720)Termination phase: Saturation
% 29.31/4.65 % (3202720)Time elapsed: 1.170 s
% 29.31/4.65 % (3202720)Peak memory usage: 22 MB
% 29.31/4.65 % (3202720)Instructions burned: 1179 (million)
% 29.31/4.65 % (3202740)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1520123062:i=1472:ins=7:fdi=8:gsp=on_2981 on theBenchmark for (2981ds/1472Mi)
% 29.31/4.65 % (3202736)Instruction limit reached!
% 29.31/4.65 % (3202736)------------------------------
% 29.31/4.65 % (3202736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202736)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202736)Termination reason: Instruction limit
% 29.31/4.65 % (3202736)Termination phase: Finite model building constraint generation
% 29.31/4.65 % (3202736)Time elapsed: 0.627 s
% 29.31/4.65 % (3202736)Peak memory usage: 65 MB
% 29.31/4.65 % (3202736)Instructions burned: 921 (million)
% 29.31/4.65 % (3202744)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2309725804:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 29.31/4.65 % (3202744)Cannot represent all propositional literals internally
% 29.31/4.65 % (3202744)Refutation not found, incomplete strategy
% 29.31/4.65 % (3202744)------------------------------
% 29.31/4.65 % (3202744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202744)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202744)Termination reason: Refutation not found, incomplete strategy
% 29.31/4.65 % (3202744)Time elapsed: 0.045 s
% 29.31/4.65 % (3202744)Peak memory usage: 12 MB
% 29.31/4.65 % (3202744)Instructions burned: 83 (million)
% 29.31/4.65 % (3202744)------------------------------
% 29.31/4.65 % (3202744)------------------------------
% 29.31/4.65 % (3202746)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2741274874:fmbsr=2.30978:i=2174_2975 on theBenchmark for (2975ds/2174Mi)
% 29.31/4.65 % (3202746)Cannot represent all propositional literals internally
% 29.31/4.65 % (3202746)Refutation not found, incomplete strategy
% 29.31/4.65 % (3202746)------------------------------
% 29.31/4.65 % (3202746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202746)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202746)Termination reason: Refutation not found, incomplete strategy
% 29.31/4.65 % (3202746)Time elapsed: 0.209 s
% 29.31/4.65 % (3202746)Peak memory usage: 13 MB
% 29.31/4.65 % (3202746)Instructions burned: 231 (million)
% 29.31/4.65 % (3202746)------------------------------
% 29.31/4.65 % (3202746)------------------------------
% 29.31/4.65 % (3202748)ott-2_1_sil=16000:newcnf=on:random_seed=3847026363:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2973 on theBenchmark for (2973ds/869Mi)
% 29.31/4.65 % (3202748)Instruction limit reached!
% 29.31/4.65 % (3202748)------------------------------
% 29.31/4.65 % (3202748)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202748)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202748)Termination reason: Instruction limit
% 29.31/4.65 % (3202748)Termination phase: Saturation
% 29.31/4.65 % (3202748)Time elapsed: 0.769 s
% 29.31/4.65 % (3202748)Peak memory usage: 17 MB
% 29.31/4.65 % (3202748)Instructions burned: 869 (million)
% 29.31/4.65 % (3202740)Instruction limit reached!
% 29.31/4.65 % (3202740)------------------------------
% 29.31/4.65 % (3202740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202740)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202740)Termination reason: Instruction limit
% 29.31/4.65 % (3202740)Termination phase: Saturation
% 29.31/4.65 % (3202740)Time elapsed: 1.590 s
% 29.31/4.65 % (3202740)Peak memory usage: 32 MB
% 29.31/4.65 % (3202740)Instructions burned: 1472 (million)
% 29.31/4.65 % (3202754)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=252606567:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 29.31/4.65 % (3202753)ott+10_1_sil=32000:tgt=ground:random_seed=4139043101:i=5114:av=off_2965 on theBenchmark for (2965ds/5114Mi)
% 29.31/4.65 % TRYING [1]
% 29.31/4.65 % TRYING [2]
% 29.31/4.65 % TRYING [3]
% 29.31/4.65 % (3202753) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3202681-3202753"...
% 29.31/4.65 % (3202753)...printing done.
% 29.31/4.65 % (3202753)Refutation found. Thanks to Tanya!
% 29.31/4.65 % SZS status Theorem for theBenchmark
% 29.31/4.65 % SZS output start Proof for theBenchmark
% See solution above
% 29.31/4.65 % (3202753)------------------------------
% 29.31/4.65 % (3202753)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.31/4.65 % (3202753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.31/4.65 % (3202753)CaDiCaL version: 2.1.3
% 29.31/4.65 % (3202753)Termination reason: Refutation
% 29.31/4.65 % (3202753)Time elapsed: 0.631 s
% 29.31/4.65 % (3202753)Peak memory usage: 24 MB
% 29.31/4.65 % (3202753)Instructions burned: 969 (million)
% 29.31/4.65 % (3202681)Success in time 4.166 s
% 29.31/4.65 % Vampire exiting
%------------------------------------------------------------------------------