%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:50 AM UTC 2026
% Result : Theorem 6.77s 3.16s
% Output : Refutation 6.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 117 ( 15 unt; 2 def)
% Number of atoms : 378 ( 0 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 439 ( 178 ~; 163 |; 78 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 574 ( 544 !; 30 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) )
=> ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& eqangle(X0,X3,X3,X5,X0,X2,X2,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618061) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) )
=> ( eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
& ( eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
| eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
& ( eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& ( eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
| eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
& eqangle(X0,X3,X3,X5,X0,X2,X2,X6) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
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(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
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(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(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(flattening,[],[f249]) ).
fof(f251,definition,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP0(X6,X0,X2,X5,X3) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f252,definition,
! [X2,X6,X0,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP1(X2,X6,X0,X5,X3) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f253,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6)
| ( ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6)
& ~ eqangle(X3,X0,X0,X5,X2,X0,X0,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X2,X2,X6) )
| sP1(X2,X6,X0,X5,X3)
| sP0(X6,X0,X2,X5,X3)
| ~ eqangle(X0,X3,X3,X5,X0,X2,X2,X6) )
& circle(X3,X0,X1,X2)
& midp(X4,X1,X0)
& coll(X5,X3,X4)
& circle(X5,X0,X7,X8)
& coll(X6,X1,X2)
& circle(X5,X0,X6,X9) ),
inference(definition_folding,[],[f250,f252,f251]) ).
fof(f273,plain,
! [X2,X6,X0,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X0,X6,X6,X2)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP1(X2,X6,X0,X5,X3) ),
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,
! [X6,X0,X2,X5,X3] :
( ( ~ eqangle(X0,X3,X3,X5,X2,X0,X0,X6)
& ~ eqangle(X3,X0,X0,X5,X0,X6,X6,X2) )
| ~ sP0(X6,X0,X2,X5,X3) ),
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(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28)
& ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28) )
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK28,sK28,sK24)
& ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28) )
| ( ~ eqangle(sK22,sK25,sK25,sK27,sK24,sK22,sK22,sK28)
& ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28) )
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) )
& circle(sK25,sK22,sK23,sK24)
& midp(sK26,sK23,sK22)
& coll(sK27,sK25,sK26)
& circle(sK27,sK22,sK29,sK30)
& coll(sK28,sK23,sK24)
& circle(sK27,sK22,sK28,sK31) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),skolemize(X0,sK22),skolemize(X1,sK23),skolemize(X2,sK24),skolemize(X3,sK25),skolemize(X4,sK26),skolemize(X5,sK27),skolemize(X6,sK28),skolemize(X7,sK29),skolemize(X8,sK30),skolemize(X9,sK31)],[f253]) ).
fof(f281,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
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(f288,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f292,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
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(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(f341,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
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(f399,plain,
midp(sK26,sK23,sK22),
inference(cnf_transformation,[],[f277]) ).
fof(f401,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
inference(cnf_transformation,[],[f277]) ).
fof(f409,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK24,sK22,sK22,sK28)
| ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
inference(duplicate_literal_removal,[],[f401]) ).
fof(f423,plain,
midp(sK26,sK22,sK23),
inference(resolution,[],[f288,f399]) ).
fof(f479,plain,
! [X0,X1] :
( para(X0,sK23,X1,sK22)
| ~ midp(sK26,X0,X1) ),
inference(resolution,[],[f341,f399]) ).
fof(f616,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f295,f317]) ).
fof(f623,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(f638,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(f1001,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(f1087,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,[],[f321,f318]) ).
fof(f1093,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,[],[f1087]) ).
fof(f1155,plain,
! [X0,X1] :
( para(X0,sK23,sK22,X1)
| ~ midp(sK26,X0,X1) ),
inference(resolution,[],[f479,f281]) ).
fof(f1534,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X1,X0,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f616,f296]) ).
fof(f1627,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f623,f316]) ).
fof(f1842,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f638,f320]) ).
fof(f1843,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f638,f319]) ).
fof(f1848,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1842,f1843]) ).
fof(f10981,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ midp(sK26,sK22,sK23) ),
inference(resolution,[],[f1627,f1155]) ).
fof(f10982,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f10981,f423]) ).
fof(f11592,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1848,f10982]) ).
fof(f14077,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f11592,f292]) ).
fof(f14079,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11592,f294]) ).
fof(f14112,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14079,f11592]) ).
fof(f14232,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f14077,f1093]) ).
fof(f14251,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f14232,f14112]) ).
fof(f14259,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f14251,f14112]) ).
fof(f14815,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f14259,f334]) ).
fof(f14856,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f14815,f14259]) ).
fof(f15314,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f14856,f286]) ).
fof(f15316,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f14856,f285]) ).
fof(f15327,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f15314,f15316]) ).
fof(f15455,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X1,X0,X6,X7,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(resolution,[],[f1534,f1001]) ).
fof(f15495,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X1,X0,X6,X7,X2,X3) ),
inference(forward_subsumption_resolution,[],[f15455,f15327]) ).
fof(f15508,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X4,X5,X1,X0,X6,X7,X2,X3),
inference(forward_subsumption_resolution,[],[f15495,f15327]) ).
fof(f24791,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25)
| ~ eqangle(sK22,sK25,sK25,sK27,sK22,sK24,sK24,sK28) ),
inference(resolution,[],[f15508,f409]) ).
fof(f24825,plain,
! [X2,X3,X0,X1,X4] : ~ sP1(X0,X1,X2,X3,X4),
inference(resolution,[],[f15508,f392]) ).
fof(f24826,plain,
! [X2,X3,X0,X1,X4] : ~ sP0(X0,X1,X2,X3,X4),
inference(resolution,[],[f15508,f394]) ).
fof(f24848,plain,
( ~ eqangle(sK25,sK22,sK22,sK27,sK22,sK24,sK24,sK28)
| sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25) ),
inference(forward_subsumption_resolution,[],[f24791,f15508]) ).
fof(f24854,plain,
( sP1(sK24,sK28,sK22,sK27,sK25)
| sP0(sK28,sK22,sK24,sK27,sK25) ),
inference(forward_subsumption_resolution,[],[f24848,f15508]) ).
fof(f24856,plain,
sP0(sK28,sK22,sK24,sK27,sK25),
inference(forward_subsumption_resolution,[],[f24854,f24825]) ).
fof(f24858,plain,
$false,
inference(forward_subsumption_resolution,[],[f24856,f24826]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO599+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n002.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 08:38:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.79/1.79 % (3237078)Will run a generic schedule for satisfiability detection.
% 7.79/1.79 % (3237084)% WARNING: option uhcvi not known.
% 7.79/1.79 % (3237084)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=824879274:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.79/1.79 % (3237083)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1032254127_2999 on theBenchmark for (2999ds/0Mi)
% 7.79/1.79 % (3237088)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1324782955:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.79/1.79 % (3237085)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1443742791:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.79/1.79 % (3237086)dis+10_1_sil=32000:sp=arity:random_seed=2434311998:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.79/1.79 % (3237087)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1815655617:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.79/1.79 % (3237089)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3906680535:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.79/1.79 % TRYING [1]
% 7.79/1.79 % TRYING [2]
% 7.79/1.79 % (3237086)Instruction limit reached!
% 7.79/1.79 % (3237086)------------------------------
% 7.79/1.79 % (3237086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.79 % (3237086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.79 % (3237086)CaDiCaL version: 2.1.3
% 7.79/1.79 % (3237086)Termination reason: Instruction limit
% 7.79/1.79 % (3237086)Termination phase: Saturation
% 7.79/1.79 % (3237086)Time elapsed: 0.066 s
% 7.79/1.79 % (3237086)Peak memory usage: 12 MB
% 7.79/1.79 % (3237086)Instructions burned: 103 (million)
% 7.79/1.79 % (3237087)Instruction limit reached!
% 7.79/1.79 % (3237087)------------------------------
% 7.79/1.79 % (3237087)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.79 % (3237087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.79 % (3237087)CaDiCaL version: 2.1.3
% 7.79/1.79 % (3237087)Termination reason: Instruction limit
% 7.79/1.79 % (3237087)Termination phase: Saturation
% 7.79/1.79 % (3237087)Time elapsed: 0.067 s
% 7.79/1.79 % (3237087)Peak memory usage: 13 MB
% 7.79/1.79 % (3237087)Instructions burned: 117 (million)
% 7.79/1.79 % (3237088)Instruction limit reached!
% 7.79/1.79 % (3237088)------------------------------
% 7.79/1.79 % (3237088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.79 % (3237088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.79 % (3237088)CaDiCaL version: 2.1.3
% 7.79/1.79 % (3237088)Termination reason: Instruction limit
% 7.79/1.79 % (3237088)Termination phase: Saturation
% 7.79/1.79 % (3237088)Time elapsed: 0.084 s
% 7.79/1.79 % (3237088)Peak memory usage: 14 MB
% 7.79/1.79 % (3237088)Instructions burned: 132 (million)
% 7.79/1.79 % (3237097)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1697921227:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.79/1.79 % (3237098)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1488198533:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.79/1.79 % (3237089)Instruction limit reached!
% 7.79/1.79 % (3237089)------------------------------
% 7.79/1.79 % (3237089)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.79 % (3237089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.79/1.79 % (3237089)CaDiCaL version: 2.1.3
% 7.79/1.79 % (3237089)Termination reason: Instruction limit
% 7.79/1.79 % (3237089)Termination phase: Saturation
% 7.79/1.79 % (3237089)Time elapsed: 0.098 s
% 7.79/1.79 % (3237089)Peak memory usage: 14 MB
% 7.79/1.79 % (3237089)Instructions burned: 160 (million)
% 7.79/1.79 % (3237099)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=86578709:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.79/1.79 % TRYING [1]
% 7.79/1.79 % TRYING [2]
% 7.79/1.79 % (3237102)ott-21_1_sil=16000:fs=off:random_seed=2274488606:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.79/1.79 % (3237098)Instruction limit reached!
% 7.79/1.79 % (3237098)------------------------------
% 7.79/1.79 % (3237098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.79/1.79 % (3237098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237098)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237098)Termination reason: Instruction limit
% 6.77/3.16 % (3237098)Termination phase: Saturation
% 6.77/3.16 % (3237098)Time elapsed: 0.082 s
% 6.77/3.16 % (3237098)Peak memory usage: 14 MB
% 6.77/3.16 % (3237098)Instructions burned: 131 (million)
% 6.77/3.16 % TRYING [3]
% 6.77/3.16 % TRYING [3]
% 6.77/3.16 % (3237105)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1421459752:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.77/3.16 % (3237102)Instruction limit reached!
% 6.77/3.16 % (3237102)------------------------------
% 6.77/3.16 % (3237102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237102)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237102)Termination reason: Instruction limit
% 6.77/3.16 % (3237102)Termination phase: Saturation
% 6.77/3.16 % (3237102)Time elapsed: 0.089 s
% 6.77/3.16 % (3237102)Peak memory usage: 13 MB
% 6.77/3.16 % (3237102)Instructions burned: 181 (million)
% 6.77/3.16 % (3237107)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=678054377:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.77/3.16 % TRYING [1]
% 6.77/3.16 % TRYING [2]
% 6.77/3.16 % (3237097)Instruction limit reached!
% 6.77/3.16 % (3237097)------------------------------
% 6.77/3.16 % (3237097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237097)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237097)Termination reason: Instruction limit
% 6.77/3.16 % (3237097)Termination phase: Finite model building constraint generation
% 6.77/3.16 % (3237097)Time elapsed: 0.268 s
% 6.77/3.16 % (3237097)Peak memory usage: 24 MB
% 6.77/3.16 % (3237097)Instructions burned: 717 (million)
% 6.77/3.16 % (3237109)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4143346489:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.77/3.16 % TRYING [3]
% 6.77/3.16 % (3237105)Instruction limit reached!
% 6.77/3.16 % (3237105)------------------------------
% 6.77/3.16 % (3237105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237105)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237105)Termination reason: Instruction limit
% 6.77/3.16 % (3237105)Termination phase: Saturation
% 6.77/3.16 % (3237105)Time elapsed: 0.279 s
% 6.77/3.16 % (3237105)Peak memory usage: 15 MB
% 6.77/3.16 % (3237105)Instructions burned: 477 (million)
% 6.77/3.16 % (3237111)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2283855307:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.77/3.16 % (3237099)Instruction limit reached!
% 6.77/3.16 % (3237099)------------------------------
% 6.77/3.16 % (3237099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237099)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237099)Termination reason: Instruction limit
% 6.77/3.16 % (3237099)Termination phase: Saturation
% 6.77/3.16 % (3237099)Time elapsed: 0.403 s
% 6.77/3.16 % (3237099)Peak memory usage: 19 MB
% 6.77/3.16 % (3237099)Instructions burned: 684 (million)
% 6.77/3.16 % (3237113)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=126942029: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)
% 6.77/3.16 % (3237111)Cannot represent all propositional literals internally
% 6.77/3.16 % (3237111)Refutation not found, incomplete strategy
% 6.77/3.16 % (3237111)------------------------------
% 6.77/3.16 % (3237111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237111)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237111)Termination reason: Refutation not found, incomplete strategy
% 6.77/3.16 % (3237111)Time elapsed: 0.036 s
% 6.77/3.16 % (3237111)Peak memory usage: 11 MB
% 6.77/3.16 % (3237111)Instructions burned: 79 (million)
% 6.77/3.16 % (3237111)------------------------------
% 6.77/3.16 % (3237111)------------------------------
% 6.77/3.16 % (3237115)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1156744847:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.77/3.16 % (3237107)Instruction limit reached!
% 6.77/3.16 % (3237107)------------------------------
% 6.77/3.16 % (3237107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237107)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237107)Termination reason: Instruction limit
% 6.77/3.16 % (3237107)Termination phase: Finite model building constraint generation
% 6.77/3.16 % (3237107)Time elapsed: 0.335 s
% 6.77/3.16 % (3237107)Peak memory usage: 47 MB
% 6.77/3.16 % (3237107)Instructions burned: 865 (million)
% 6.77/3.16 % (3237117)fmb+10_1_sil=64000:random_seed=2461277786:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 6.77/3.16 % TRYING [1]
% 6.77/3.16 % TRYING [2]
% 6.77/3.16 % TRYING [3]
% 6.77/3.16 % (3237113)Instruction limit reached!
% 6.77/3.16 % (3237113)------------------------------
% 6.77/3.16 % (3237113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237113)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237113)Termination reason: Instruction limit
% 6.77/3.16 % (3237113)Termination phase: Saturation
% 6.77/3.16 % (3237113)Time elapsed: 0.403 s
% 6.77/3.16 % (3237113)Peak memory usage: 21 MB
% 6.77/3.16 % (3237113)Instructions burned: 693 (million)
% 6.77/3.16 % (3237119)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2431544345:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.77/3.16 % (3237119)Cannot represent all propositional literals internally
% 6.77/3.16 % (3237119)Refutation not found, incomplete strategy
% 6.77/3.16 % (3237119)------------------------------
% 6.77/3.16 % (3237119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237119)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237119)Termination reason: Refutation not found, incomplete strategy
% 6.77/3.16 % (3237119)Time elapsed: 0.021 s
% 6.77/3.16 % (3237119)Peak memory usage: 11 MB
% 6.77/3.16 % (3237119)Instructions burned: 42 (million)
% 6.77/3.16 % (3237119)------------------------------
% 6.77/3.16 % (3237119)------------------------------
% 6.77/3.16 % (3237121)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3641084231:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.77/3.16 % (3237115)Instruction limit reached!
% 6.77/3.16 % (3237115)------------------------------
% 6.77/3.16 % (3237115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237115)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237115)Termination reason: Instruction limit
% 6.77/3.16 % (3237115)Termination phase: Saturation
% 6.77/3.16 % (3237115)Time elapsed: 0.475 s
% 6.77/3.16 % (3237115)Peak memory usage: 18 MB
% 6.77/3.16 % (3237115)Instructions burned: 881 (million)
% 6.77/3.16 % TRYING [8]
% 6.77/3.16 % (3237123)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3690191744:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.77/3.16 % (3237109)Instruction limit reached!
% 6.77/3.16 % (3237109)------------------------------
% 6.77/3.16 % (3237109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237109)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237109)Termination reason: Instruction limit
% 6.77/3.16 % (3237109)Termination phase: Saturation
% 6.77/3.16 % (3237109)Time elapsed: 0.756 s
% 6.77/3.16 % (3237109)Peak memory usage: 26 MB
% 6.77/3.16 % (3237109)Instructions burned: 1179 (million)
% 6.77/3.16 % (3237125)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2374510214:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 6.77/3.16 % (3237121)Instruction limit reached!
% 6.77/3.16 % (3237121)------------------------------
% 6.77/3.16 % (3237121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237121)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237121)Termination reason: Instruction limit
% 6.77/3.16 % (3237121)Termination phase: Finite model building constraint generation
% 6.77/3.16 % (3237121)Time elapsed: 0.322 s
% 6.77/3.16 % (3237121)Peak memory usage: 65 MB
% 6.77/3.16 % (3237121)Instructions burned: 923 (million)
% 6.77/3.16 % (3237127)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4235940841:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 6.77/3.16 % (3237127)Cannot represent all propositional literals internally
% 6.77/3.16 % (3237127)Refutation not found, incomplete strategy
% 6.77/3.16 % (3237127)------------------------------
% 6.77/3.16 % (3237127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237127)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237127)Termination reason: Refutation not found, incomplete strategy
% 6.77/3.16 % (3237127)Time elapsed: 0.038 s
% 6.77/3.16 % (3237127)Peak memory usage: 11 MB
% 6.77/3.16 % (3237127)Instructions burned: 82 (million)
% 6.77/3.16 % (3237127)------------------------------
% 6.77/3.16 % (3237127)------------------------------
% 6.77/3.16 % (3237129)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4181771116:fmbsr=2.30978:i=2174_2985 on theBenchmark for (2985ds/2174Mi)
% 6.77/3.16 % (3237129)Cannot represent all propositional literals internally
% 6.77/3.16 % (3237129)Refutation not found, incomplete strategy
% 6.77/3.16 % (3237129)------------------------------
% 6.77/3.16 % (3237129)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237129)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237129)Termination reason: Refutation not found, incomplete strategy
% 6.77/3.16 % (3237129)Time elapsed: 0.111 s
% 6.77/3.16 % (3237129)Peak memory usage: 13 MB
% 6.77/3.16 % (3237129)Instructions burned: 231 (million)
% 6.77/3.16 % (3237129)------------------------------
% 6.77/3.16 % (3237129)------------------------------
% 6.77/3.16 % (3237131)ott-2_1_sil=16000:newcnf=on:random_seed=1031738374:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 6.77/3.16 % (3237131)Instruction limit reached!
% 6.77/3.16 % (3237131)------------------------------
% 6.77/3.16 % (3237131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237131)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237131)Termination reason: Instruction limit
% 6.77/3.16 % (3237131)Termination phase: Saturation
% 6.77/3.16 % (3237131)Time elapsed: 0.486 s
% 6.77/3.16 % (3237131)Peak memory usage: 17 MB
% 6.77/3.16 % (3237131)Instructions burned: 869 (million)
% 6.77/3.16 % (3237133)ott+10_1_sil=32000:tgt=ground:random_seed=2283613881:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 6.77/3.16 % (3237125)Instruction limit reached!
% 6.77/3.16 % (3237125)------------------------------
% 6.77/3.16 % (3237125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237125)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237125)Termination reason: Instruction limit
% 6.77/3.16 % (3237125)Termination phase: Saturation
% 6.77/3.16 % (3237125)Time elapsed: 1.008 s
% 6.77/3.16 % (3237125)Peak memory usage: 33 MB
% 6.77/3.16 % (3237125)Instructions burned: 1472 (million)
% 6.77/3.16 % (3237135)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1703850148:i=54282_2977 on theBenchmark for (2977ds/54282Mi)
% 6.77/3.16 % TRYING [1]
% 6.77/3.16 % TRYING [2]
% 6.77/3.16 % TRYING [3]
% 6.77/3.16 % (3237133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3237078-3237133"...
% 6.77/3.16 % (3237133)...printing done.
% 6.77/3.16 % (3237133)Refutation found. Thanks to Tanya!
% 6.77/3.16 % SZS status Theorem for theBenchmark
% 6.77/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 6.77/3.16 % (3237133)------------------------------
% 6.77/3.16 % (3237133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/3.16 % (3237133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/3.16 % (3237133)CaDiCaL version: 2.1.3
% 6.77/3.16 % (3237133)Termination reason: Refutation
% 6.77/3.16 % (3237133)Time elapsed: 0.622 s
% 6.77/3.16 % (3237133)Peak memory usage: 23 MB
% 6.77/3.16 % (3237133)Instructions burned: 1007 (million)
% 6.77/3.16 % (3237078)Success in time 2.75 s
% 6.77/3.16 % Vampire exiting
%------------------------------------------------------------------------------