%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO560+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 : n003.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 09:54:44 AM UTC 2026
% Result : Theorem 6.24s 1.82s
% Output : Refutation 6.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 28
% Syntax : Number of formulae : 148 ( 28 unt; 0 def)
% Number of atoms : 366 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 357 ( 139 ~; 137 |; 52 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 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 : 742 ( 728 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/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(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(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/sandbox/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/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(f26,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD26) ).
fof(f27,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD27) ).
fof(f28,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD28) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/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(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(f66,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X1,X2,X3)
& coll(X4,X0,X2)
& coll(X4,X1,X3) )
=> eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD65) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& coll(X5,X0,X3)
& coll(X5,X1,X4)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1) )
=> eqangle(X4,X6,X6,X5,X5,X6,X6,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012020) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& coll(X5,X0,X3)
& coll(X5,X1,X4)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1) )
=> eqangle(X4,X6,X6,X5,X5,X6,X6,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(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(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(f132,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f26]) ).
fof(f133,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f27]) ).
fof(f134,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f28]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(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(f195,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(ennf_transformation,[],[f66]) ).
fof(f196,plain,
! [X0,X1,X2,X3,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(flattening,[],[f195]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X4,X6,X6,X5,X5,X6,X6,X3)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& coll(X5,X0,X3)
& coll(X5,X1,X4)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ eqangle(X4,X6,X6,X5,X5,X6,X6,X3)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& coll(X5,X0,X3)
& coll(X5,X1,X4)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23)
& perp(sK23,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& perp(sK24,sK21,sK20,sK22)
& coll(sK24,sK20,sK22)
& coll(sK25,sK20,sK23)
& coll(sK25,sK21,sK24)
& perp(sK26,sK25,sK20,sK21)
& coll(sK26,sK20,sK21) ),
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)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,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(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f296,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f132]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f298,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f134]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f336,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
| ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3) ),
inference(cnf_transformation,[],[f196]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f389,plain,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK24,sK26,sK26,sK25,sK25,sK26,sK26,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f460,plain,
perp(sK20,sK22,sK24,sK21),
inference(resolution,[],[f278,f389]) ).
fof(f1643,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK21)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f389]) ).
fof(f3902,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f1643,f460]) ).
fof(f3907,plain,
! [X0,X1] : eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1),
inference(resolution,[],[f3902,f310]) ).
fof(f3927,plain,
! [X0,X1] : eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1),
inference(resolution,[],[f3907,f291]) ).
fof(f3929,plain,
! [X0,X1] : eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22),
inference(resolution,[],[f3907,f289]) ).
fof(f3948,plain,
! [X0] :
( cyclic(sK22,sK22,sK20,X0)
| ~ coll(sK20,X0,sK22) ),
inference(resolution,[],[f3927,f313]) ).
fof(f3949,plain,
! [X0] :
( cyclic(sK22,sK22,sK20,X0)
| coll(sK20,X0,sK22) ),
inference(resolution,[],[f3927,f312]) ).
fof(f3950,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(forward_subsumption_resolution,[],[f3948,f3949]) ).
fof(f3951,plain,
! [X0,X1] :
( ~ cyclic(sK22,sK22,sK20,X0)
| cyclic(sK22,sK20,X0,X1) ),
inference(resolution,[],[f3950,f287]) ).
fof(f3956,plain,
! [X0,X1] : cyclic(sK22,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f3951,f3950]) ).
fof(f3968,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f3956,f287]) ).
fof(f3973,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f3968,f3956]) ).
fof(f3998,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f3973,f287]) ).
fof(f4003,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f3998,f3973]) ).
fof(f4035,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(resolution,[],[f4003,f311]) ).
fof(f4039,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f3929,f309]) ).
fof(f4046,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f4039,f337]) ).
fof(f4051,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f4039,f274]) ).
fof(f4053,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f4046,f272]) ).
fof(f4400,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f4053,f271]) ).
fof(f4744,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f4400,f273]) ).
fof(f4796,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f4744,f4400]) ).
fof(f8009,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2),
inference(resolution,[],[f4035,f288]) ).
fof(f10337,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| ~ coll(X4,X1,X3)
| eqratio(X0,X2,X4,X0,X1,X3,X4,X1) ),
inference(resolution,[],[f336,f297]) ).
fof(f10340,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X3)
| ~ coll(X4,X0,X2)
| eqratio(X0,X2,X4,X0,X1,X3,X4,X1) ),
inference(forward_subsumption_resolution,[],[f10337,f4796]) ).
fof(f10345,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X0,X2,X4,X0,X1,X3,X4,X1)
| ~ para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[],[f10340,f4796]) ).
fof(f10355,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X0,X2,X1,X3,X4,X0,X4,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10345,f299]) ).
fof(f10392,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X1,X3,X0,X2,X4,X1,X4,X0)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10355,f297]) ).
fof(f10443,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X3,X1,X0,X2,X4,X1,X4,X0)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10392,f296]) ).
fof(f10521,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X1,X4,X0,X3,X1,X0,X2)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10443,f298]) ).
fof(f10633,plain,
! [X2,X3,X0,X1,X4] :
( eqratio(X4,X0,X4,X1,X0,X2,X3,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10521,f297]) ).
fof(f10785,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X2,X3,X1)
| cong(X4,X0,X4,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f10633,f346]) ).
fof(f11659,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(resolution,[],[f314,f4003]) ).
fof(f11660,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(forward_subsumption_resolution,[],[f11659,f4003]) ).
fof(f11677,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f11660,f4003]) ).
fof(f11822,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[],[f11677,f8009]) ).
fof(f11886,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ para(X1,X2,X2,X1) ),
inference(resolution,[],[f11822,f10785]) ).
fof(f11986,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f11886,f4051]) ).
fof(f12973,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f11986,f338]) ).
fof(f13019,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f12973,f4796]) ).
fof(f13027,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X1,X3,X2,X4) ),
inference(resolution,[],[f13019,f334]) ).
fof(f13125,plain,
! [X2,X3,X1,X4] : para(X1,X3,X2,X4),
inference(forward_subsumption_resolution,[],[f13027,f13019]) ).
fof(f14493,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3),
inference(resolution,[],[f13125,f310]) ).
fof(f16035,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(resolution,[],[f14493,f291]) ).
fof(f17029,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f16035,f290]) ).
fof(f18262,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| eqangle(X0,X1,X2,X3,X6,X7,X8,X9) ),
inference(resolution,[],[f17029,f292]) ).
fof(f18301,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] : eqangle(X0,X1,X2,X3,X6,X7,X8,X9),
inference(forward_subsumption_resolution,[],[f18262,f16035]) ).
fof(f20219,plain,
$false,
inference(resolution,[],[f18301,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO560+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 : n003.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 08:32:40 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
% 7.91/1.69 % (204364)Will run a generic schedule for satisfiability detection.
% 7.91/1.69 % (204375)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3603125800:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.91/1.69 % (204372)dis+10_1_sil=32000:sp=arity:random_seed=2927505080:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.91/1.69 % (204369)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2487167588_2999 on theBenchmark for (2999ds/0Mi)
% 7.91/1.69 % (204371)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3599719268:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.91/1.69 % (204373)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3324654155:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.91/1.69 % (204374)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1285801445:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.91/1.69 % (204370)% WARNING: option uhcvi not known.
% 7.91/1.69 % (204370)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=174090937:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.91/1.69 % TRYING [1]
% 7.91/1.69 % TRYING [2]
% 7.91/1.69 % TRYING [3]
% 7.91/1.69 % (204372)Instruction limit reached!
% 7.91/1.69 % (204372)------------------------------
% 7.91/1.69 % (204372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.69 % (204372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.69 % (204372)CaDiCaL version: 2.1.3
% 7.91/1.69 % (204372)Termination reason: Instruction limit
% 7.91/1.69 % (204372)Termination phase: Saturation
% 7.91/1.69 % (204372)Time elapsed: 0.068 s
% 7.91/1.69 % (204372)Peak memory usage: 13 MB
% 7.91/1.69 % (204372)Instructions burned: 104 (million)
% 7.91/1.69 % (204373)Instruction limit reached!
% 7.91/1.69 % (204373)------------------------------
% 7.91/1.69 % (204373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.69 % (204373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.69 % (204373)CaDiCaL version: 2.1.3
% 7.91/1.69 % (204373)Termination reason: Instruction limit
% 7.91/1.69 % (204373)Termination phase: Saturation
% 7.91/1.69 % (204373)Time elapsed: 0.068 s
% 7.91/1.69 % (204373)Peak memory usage: 13 MB
% 7.91/1.69 % (204373)Instructions burned: 117 (million)
% 7.91/1.69 % (204374)Instruction limit reached!
% 7.91/1.69 % (204374)------------------------------
% 7.91/1.69 % (204374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.69 % (204374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.69 % (204374)CaDiCaL version: 2.1.3
% 7.91/1.69 % (204374)Termination reason: Instruction limit
% 7.91/1.69 % (204374)Termination phase: Saturation
% 7.91/1.69 % (204374)Time elapsed: 0.081 s
% 7.91/1.69 % (204374)Peak memory usage: 14 MB
% 7.91/1.69 % (204374)Instructions burned: 131 (million)
% 7.91/1.69 % (204383)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1516711359:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.91/1.69 % (204384)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2116836422:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.91/1.69 % TRYING [1]
% 7.91/1.69 % TRYING [2]
% 7.91/1.69 % (204375)Instruction limit reached!
% 7.91/1.69 % (204375)------------------------------
% 7.91/1.69 % (204375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.69 % (204375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.91/1.69 % (204375)CaDiCaL version: 2.1.3
% 7.91/1.69 % (204375)Termination reason: Instruction limit
% 7.91/1.69 % (204375)Termination phase: Saturation
% 7.91/1.69 % (204375)Time elapsed: 0.100 s
% 7.91/1.69 % (204375)Peak memory usage: 14 MB
% 7.91/1.69 % (204375)Instructions burned: 159 (million)
% 7.91/1.69 % (204385)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=2138153403:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.91/1.69 % (204388)ott-21_1_sil=16000:fs=off:random_seed=1326774449:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.91/1.69 % TRYING [3]
% 7.91/1.69 % (204384)Instruction limit reached!
% 7.91/1.69 % (204384)------------------------------
% 7.91/1.69 % (204384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.91/1.69 % (204384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204384)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204384)Termination reason: Instruction limit
% 6.24/1.82 % (204384)Termination phase: Saturation
% 6.24/1.82 % (204384)Time elapsed: 0.081 s
% 6.24/1.82 % (204384)Peak memory usage: 14 MB
% 6.24/1.82 % (204384)Instructions burned: 132 (million)
% 6.24/1.82 % (204391)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2152837619:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.24/1.82 % (204388)Instruction limit reached!
% 6.24/1.82 % (204388)------------------------------
% 6.24/1.82 % (204388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204388)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204388)Termination reason: Instruction limit
% 6.24/1.82 % (204388)Termination phase: Saturation
% 6.24/1.82 % (204388)Time elapsed: 0.095 s
% 6.24/1.82 % (204388)Peak memory usage: 12 MB
% 6.24/1.82 % (204388)Instructions burned: 180 (million)
% 6.24/1.82 % (204393)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4050726264:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.24/1.82 % TRYING [1]
% 6.24/1.82 % TRYING [2]
% 6.24/1.82 % TRYING [3]
% 6.24/1.82 % (204383)Instruction limit reached!
% 6.24/1.82 % (204383)------------------------------
% 6.24/1.82 % (204383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204383)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204383)Termination reason: Instruction limit
% 6.24/1.82 % (204383)Termination phase: Finite model building constraint generation
% 6.24/1.82 % (204383)Time elapsed: 0.252 s
% 6.24/1.82 % (204383)Peak memory usage: 24 MB
% 6.24/1.82 % (204383)Instructions burned: 715 (million)
% 6.24/1.82 % (204395)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1139829976:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.24/1.82 % (204391)Instruction limit reached!
% 6.24/1.82 % (204391)------------------------------
% 6.24/1.82 % (204391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204391)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204391)Termination reason: Instruction limit
% 6.24/1.82 % (204391)Termination phase: Saturation
% 6.24/1.82 % (204391)Time elapsed: 0.271 s
% 6.24/1.82 % (204391)Peak memory usage: 14 MB
% 6.24/1.82 % (204391)Instructions burned: 478 (million)
% 6.24/1.82 % (204397)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=269481424:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 6.24/1.82 % (204397)Cannot represent all propositional literals internally
% 6.24/1.82 % (204397)Refutation not found, incomplete strategy
% 6.24/1.82 % (204397)------------------------------
% 6.24/1.82 % (204397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204397)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204397)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.82 % (204397)Time elapsed: 0.006 s
% 6.24/1.82 % (204397)Peak memory usage: 10 MB
% 6.24/1.82 % (204397)Instructions burned: 13 (million)
% 6.24/1.82 % (204397)------------------------------
% 6.24/1.82 % (204397)------------------------------
% 6.24/1.82 % (204399)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=3905766403: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)
% 6.24/1.82 % (204385)Instruction limit reached!
% 6.24/1.82 % (204385)------------------------------
% 6.24/1.82 % (204385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204385)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204385)Termination reason: Instruction limit
% 6.24/1.82 % (204385)Termination phase: Saturation
% 6.24/1.82 % (204385)Time elapsed: 0.412 s
% 6.24/1.82 % (204385)Peak memory usage: 20 MB
% 6.24/1.82 % (204385)Instructions burned: 684 (million)
% 6.24/1.82 % (204393)Instruction limit reached!
% 6.24/1.82 % (204393)------------------------------
% 6.24/1.82 % (204393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204393)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204393)Termination reason: Instruction limit
% 6.24/1.82 % (204393)Termination phase: Finite model building constraint generation
% 6.24/1.82 % (204393)Time elapsed: 0.298 s
% 6.24/1.82 % (204393)Peak memory usage: 50 MB
% 6.24/1.82 % (204393)Instructions burned: 866 (million)
% 6.24/1.82 % (204401)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3134040171:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.24/1.82 % (204403)fmb+10_1_sil=64000:random_seed=3136631226:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.24/1.82 % TRYING [1]
% 6.24/1.82 % TRYING [2]
% 6.24/1.82 % TRYING [3]
% 6.24/1.82 % (204399)Instruction limit reached!
% 6.24/1.82 % (204399)------------------------------
% 6.24/1.82 % (204399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204399)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204399)Termination reason: Instruction limit
% 6.24/1.82 % (204399)Termination phase: Saturation
% 6.24/1.82 % (204399)Time elapsed: 0.368 s
% 6.24/1.82 % (204399)Peak memory usage: 18 MB
% 6.24/1.82 % (204399)Instructions burned: 694 (million)
% 6.24/1.82 % (204405)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1832486207:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.24/1.82 % (204405)Cannot represent all propositional literals internally
% 6.24/1.82 % (204405)Refutation not found, incomplete strategy
% 6.24/1.82 % (204405)------------------------------
% 6.24/1.82 % (204405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204405)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204405)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.82 % (204405)Time elapsed: 0.006 s
% 6.24/1.82 % (204405)Peak memory usage: 10 MB
% 6.24/1.82 % (204405)Instructions burned: 13 (million)
% 6.24/1.82 % (204405)------------------------------
% 6.24/1.82 % (204405)------------------------------
% 6.24/1.82 % (204407)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1833975946:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.24/1.82 % TRYING [8]
% 6.24/1.82 % (204401)Instruction limit reached!
% 6.24/1.82 % (204401)------------------------------
% 6.24/1.82 % (204401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204401)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204401)Termination reason: Instruction limit
% 6.24/1.82 % (204401)Termination phase: Saturation
% 6.24/1.82 % (204401)Time elapsed: 0.459 s
% 6.24/1.82 % (204401)Peak memory usage: 17 MB
% 6.24/1.82 % (204401)Instructions burned: 879 (million)
% 6.24/1.82 % (204409)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=281222579:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.24/1.82 % (204395)Instruction limit reached!
% 6.24/1.82 % (204395)------------------------------
% 6.24/1.82 % (204395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204395)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204395)Termination reason: Instruction limit
% 6.24/1.82 % (204395)Termination phase: Saturation
% 6.24/1.82 % (204395)Time elapsed: 0.693 s
% 6.24/1.82 % (204395)Peak memory usage: 22 MB
% 6.24/1.82 % (204395)Instructions burned: 1179 (million)
% 6.24/1.82 % (204411)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3715061224:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 6.24/1.82 % (204407)Instruction limit reached!
% 6.24/1.82 % (204407)------------------------------
% 6.24/1.82 % (204407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204407)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204407)Termination reason: Instruction limit
% 6.24/1.82 % (204407)Termination phase: Finite model building constraint generation
% 6.24/1.82 % (204407)Time elapsed: 0.286 s
% 6.24/1.82 % (204407)Peak memory usage: 45 MB
% 6.24/1.82 % (204407)Instructions burned: 922 (million)
% 6.24/1.82 % (204413)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2699390830:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 6.24/1.82 % (204413)Cannot represent all propositional literals internally
% 6.24/1.82 % (204413)Refutation not found, incomplete strategy
% 6.24/1.82 % (204413)------------------------------
% 6.24/1.82 % (204413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204413)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204413)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.82 % (204413)Time elapsed: 0.008 s
% 6.24/1.82 % (204413)Peak memory usage: 11 MB
% 6.24/1.82 % (204413)Instructions burned: 15 (million)
% 6.24/1.82 % (204413)------------------------------
% 6.24/1.82 % (204413)------------------------------
% 6.24/1.82 % (204415)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2240409724:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 6.24/1.82 % (204411) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-204364-204411"...
% 6.24/1.82 % (204411)...printing done.
% 6.24/1.82 % (204415)Cannot represent all propositional literals internally
% 6.24/1.82 % (204415)Refutation not found, incomplete strategy
% 6.24/1.82 % (204415)------------------------------
% 6.24/1.82 % (204415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204415)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204415)Termination reason: Refutation not found, incomplete strategy
% 6.24/1.82 % (204415)Time elapsed: 0.082 s
% 6.24/1.82 % (204415)Peak memory usage: 12 MB
% 6.24/1.82 % (204415)Instructions burned: 166 (million)
% 6.24/1.82 % (204411)Refutation found. Thanks to Tanya!
% 6.24/1.82 % SZS status Theorem for theBenchmark
% 6.24/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 6.24/1.82 % (204411)------------------------------
% 6.24/1.82 % (204411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.24/1.82 % (204411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.24/1.82 % (204411)CaDiCaL version: 2.1.3
% 6.24/1.82 % (204411)Termination reason: Refutation
% 6.24/1.82 % (204411)Time elapsed: 0.269 s
% 6.24/1.82 % (204411)Peak memory usage: 16 MB
% 6.24/1.82 % (204411)Instructions burned: 479 (million)
% 6.24/1.82 % (204364)Success in time 1.415 s
% 6.24/1.82 % Vampire exiting
%------------------------------------------------------------------------------