%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO588+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 : n020.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 09:54:48 AM UTC 2026
% Result : Theorem 8.54s 3.31s
% Output : Refutation 8.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 160 ( 26 unt; 0 def)
% Number of atoms : 440 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 467 ( 187 ~; 185 |; 67 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-6 aty)
% Number of variables : 737 ( 714 !; 23 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) )
=> para(X6,X4,X2,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416050) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) )
=> para(X6,X4,X2,X7) ),
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(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(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(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(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X4,X2,X7)
& coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X6,X4,X2,X7)
& coll(X2,X0,X1)
& perp(X0,X1,X2,X3)
& circle(X4,X0,X1,X3)
& circle(X4,X3,X5,X9)
& coll(X5,X3,X2)
& midp(X6,X3,X0)
& midp(X7,X5,X1)
& coll(X8,X2,X4)
& coll(X8,X6,X7) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ para(sK26,sK24,sK22,sK27)
& coll(sK22,sK20,sK21)
& perp(sK20,sK21,sK22,sK23)
& circle(sK24,sK20,sK21,sK23)
& circle(sK24,sK23,sK25,sK29)
& coll(sK25,sK23,sK22)
& midp(sK26,sK23,sK20)
& midp(sK27,sK25,sK21)
& coll(sK28,sK22,sK24)
& coll(sK28,sK26,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[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(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(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(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(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f391,plain,
perp(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK26,sK24,sK22,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f420,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[],[f277,f391]) ).
fof(f423,plain,
perp(sK22,sK23,sK20,sK21),
inference(resolution,[],[f278,f391]) ).
fof(f533,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f279,f391]) ).
fof(f537,plain,
perp(sK23,sK22,sK20,sK21),
inference(resolution,[],[f420,f278]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f610,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f291,f310]) ).
fof(f611,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X2) ),
inference(resolution,[],[f291,f311]) ).
fof(f632,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f775,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f784,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f939,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X6)
| eqangle(X0,X1,X2,X3,X7,X5,X7,X6)
| ~ cyclic(X5,X6,X4,X7) ),
inference(resolution,[],[f292,f311]) ).
fof(f1016,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f314,f311]) ).
fof(f1022,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,[],[f1016]) ).
fof(f1136,plain,
para(sK22,sK23,sK22,sK23),
inference(resolution,[],[f533,f423]) ).
fof(f1137,plain,
para(sK23,sK22,sK22,sK23),
inference(resolution,[],[f533,f537]) ).
fof(f1208,plain,
para(sK23,sK22,sK23,sK22),
inference(resolution,[],[f1137,f274]) ).
fof(f1476,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f596,f309]) ).
fof(f1657,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f610,f313]) ).
fof(f1658,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f610,f312]) ).
fof(f1668,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1657,f1658]) ).
fof(f1990,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X1,X2,X4,X5)
| ~ midp(X3,X4,X5)
| cong(X0,X1,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f632,f346]) ).
fof(f3202,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
| ~ cyclic(X3,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0) ),
inference(resolution,[],[f939,f611]) ).
fof(f3265,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f775,f784]) ).
fof(f3276,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3265]) ).
fof(f7848,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1476,f1208]) ).
fof(f7882,plain,
! [X0] : cyclic(sK23,sK23,sK22,X0),
inference(resolution,[],[f1668,f1136]) ).
fof(f7923,plain,
! [X0,X1] :
( ~ cyclic(sK23,sK23,sK22,X0)
| cyclic(sK23,sK22,X0,X1) ),
inference(resolution,[],[f7882,f287]) ).
fof(f7942,plain,
! [X0,X1] : cyclic(sK23,sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f7923,f7882]) ).
fof(f8254,plain,
! [X2,X0,X1] :
( ~ cyclic(sK23,sK22,X0,X1)
| cyclic(sK22,X0,X1,X2) ),
inference(resolution,[],[f7942,f287]) ).
fof(f8276,plain,
! [X2,X0,X1] : cyclic(sK22,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f8254,f7942]) ).
fof(f8708,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f7848,f337]) ).
fof(f8709,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f7848,f1668]) ).
fof(f8714,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f7848,f335]) ).
fof(f8736,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f8714,f7848]) ).
fof(f8749,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f8708,f272]) ).
fof(f8827,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f8749,f271]) ).
fof(f8900,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f8827,f273]) ).
fof(f8920,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f8900,f8827]) ).
fof(f10720,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK22,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f8276,f287]) ).
fof(f10747,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f10720,f8276]) ).
fof(f11769,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f8709,f1022]) ).
fof(f11783,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f11769]) ).
fof(f11786,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f11783,f10747]) ).
fof(f12853,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f11786,f338]) ).
fof(f12885,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f12853,f8920]) ).
fof(f18699,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f8736,f12885]) ).
fof(f24518,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(resolution,[],[f3202,f314]) ).
fof(f24540,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| ~ cyclic(X3,X3,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(duplicate_literal_removal,[],[f24518]) ).
fof(f24545,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| ~ cyclic(X3,X3,X1,X0)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f24540,f10747]) ).
fof(f24554,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| ~ cyclic(X3,X0,X1,X1)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f24545,f10747]) ).
fof(f24563,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cong(X3,X3,X0,X0) ),
inference(forward_subsumption_resolution,[],[f24554,f10747]) ).
fof(f24565,plain,
! [X3,X0] : cong(X3,X3,X0,X0),
inference(forward_subsumption_resolution,[],[f24563,f10747]) ).
fof(f24616,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f24565,f1990]) ).
fof(f24620,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f24616,f18699]) ).
fof(f24625,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f24620,f18699]) ).
fof(f24862,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f24625,f338]) ).
fof(f24963,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f24862,f8920]) ).
fof(f25045,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f24963,f3276]) ).
fof(f25125,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f25045,f24963]) ).
fof(f25494,plain,
$false,
inference(resolution,[],[f25125,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO588+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n020.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:35:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 7.57/1.74 % (3093793)Will run a generic schedule for satisfiability detection.
% 7.57/1.74 % (3093798)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1004982161_2999 on theBenchmark for (2999ds/0Mi)
% 7.57/1.74 % (3093799)% WARNING: option uhcvi not known.
% 7.57/1.74 % TRYING [1]
% 7.57/1.74 % TRYING [2]
% 7.57/1.74 % (3093802)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3858595264:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.57/1.74 % (3093799)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=110591212:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.57/1.74 % (3093800)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=287920648:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.57/1.74 % (3093801)dis+10_1_sil=32000:sp=arity:random_seed=4065332892:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.57/1.74 % (3093803)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3282482295:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.57/1.74 % (3093804)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3609473457:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.57/1.74 % TRYING [3]
% 7.57/1.74 % (3093801)Instruction limit reached!
% 7.57/1.74 % (3093801)------------------------------
% 7.57/1.74 % (3093801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/1.74 % (3093801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.74 % (3093801)CaDiCaL version: 2.1.3
% 7.57/1.74 % (3093801)Termination reason: Instruction limit
% 7.57/1.74 % (3093801)Termination phase: Saturation
% 7.57/1.74 % (3093801)Time elapsed: 0.066 s
% 7.57/1.74 % (3093801)Peak memory usage: 12 MB
% 7.57/1.74 % (3093801)Instructions burned: 103 (million)
% 7.57/1.74 % (3093802)Instruction limit reached!
% 7.57/1.74 % (3093802)------------------------------
% 7.57/1.74 % (3093802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/1.74 % (3093802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.74 % (3093802)CaDiCaL version: 2.1.3
% 7.57/1.74 % (3093802)Termination reason: Instruction limit
% 7.57/1.74 % (3093802)Termination phase: Saturation
% 7.57/1.74 % (3093802)Time elapsed: 0.069 s
% 7.57/1.74 % (3093802)Peak memory usage: 13 MB
% 7.57/1.74 % (3093802)Instructions burned: 117 (million)
% 7.57/1.74 % (3093803)Instruction limit reached!
% 7.57/1.74 % (3093803)------------------------------
% 7.57/1.74 % (3093803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/1.74 % (3093803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.74 % (3093803)CaDiCaL version: 2.1.3
% 7.57/1.74 % (3093803)Termination reason: Instruction limit
% 7.57/1.74 % (3093803)Termination phase: Saturation
% 7.57/1.74 % (3093803)Time elapsed: 0.080 s
% 7.57/1.74 % (3093803)Peak memory usage: 14 MB
% 7.57/1.74 % (3093803)Instructions burned: 132 (million)
% 7.57/1.74 % (3093812)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=424038119:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.57/1.74 % (3093813)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1867572108:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.57/1.74 % (3093804)Instruction limit reached!
% 7.57/1.74 % (3093804)------------------------------
% 7.57/1.74 % (3093804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/1.74 % (3093804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.57/1.74 % (3093804)CaDiCaL version: 2.1.3
% 7.57/1.74 % (3093804)Termination reason: Instruction limit
% 7.57/1.74 % (3093804)Termination phase: Saturation
% 7.57/1.74 % (3093804)Time elapsed: 0.089 s
% 7.57/1.74 % (3093804)Peak memory usage: 15 MB
% 7.57/1.74 % (3093804)Instructions burned: 160 (million)
% 7.57/1.74 % TRYING [1]
% 7.57/1.74 % TRYING [2]
% 7.57/1.74 % (3093814)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=2110129294:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.57/1.74 % (3093817)ott-21_1_sil=16000:fs=off:random_seed=3807703838:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.57/1.74 % TRYING [3]
% 7.57/1.74 % (3093813)Instruction limit reached!
% 7.57/1.74 % (3093813)------------------------------
% 7.57/1.74 % (3093813)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.57/1.74 % (3093813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093813)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093813)Termination reason: Instruction limit
% 8.54/3.31 % (3093813)Termination phase: Saturation
% 8.54/3.31 % (3093813)Time elapsed: 0.081 s
% 8.54/3.31 % (3093813)Peak memory usage: 14 MB
% 8.54/3.31 % (3093813)Instructions burned: 131 (million)
% 8.54/3.31 % (3093820)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1296111033:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.54/3.31 % (3093817)Instruction limit reached!
% 8.54/3.31 % (3093817)------------------------------
% 8.54/3.31 % (3093817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093817)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093817)Termination reason: Instruction limit
% 8.54/3.31 % (3093817)Termination phase: Saturation
% 8.54/3.31 % (3093817)Time elapsed: 0.094 s
% 8.54/3.31 % (3093817)Peak memory usage: 13 MB
% 8.54/3.31 % (3093817)Instructions burned: 181 (million)
% 8.54/3.31 % (3093822)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2403623458:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.54/3.31 % TRYING [1]
% 8.54/3.31 % TRYING [2]
% 8.54/3.31 % TRYING [3]
% 8.54/3.31 % (3093812)Instruction limit reached!
% 8.54/3.31 % (3093812)------------------------------
% 8.54/3.31 % (3093812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093812)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093812)Termination reason: Instruction limit
% 8.54/3.31 % (3093812)Termination phase: Finite model building constraint generation
% 8.54/3.31 % (3093812)Time elapsed: 0.251 s
% 8.54/3.31 % (3093812)Peak memory usage: 24 MB
% 8.54/3.31 % (3093812)Instructions burned: 717 (million)
% 8.54/3.31 % (3093824)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4132449010:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.54/3.31 % (3093820)Instruction limit reached!
% 8.54/3.31 % (3093820)------------------------------
% 8.54/3.31 % (3093820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093820)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093820)Termination reason: Instruction limit
% 8.54/3.31 % (3093820)Termination phase: Saturation
% 8.54/3.31 % (3093820)Time elapsed: 0.292 s
% 8.54/3.31 % (3093820)Peak memory usage: 14 MB
% 8.54/3.31 % (3093820)Instructions burned: 478 (million)
% 8.54/3.31 % (3093814)Instruction limit reached!
% 8.54/3.31 % (3093814)------------------------------
% 8.54/3.31 % (3093814)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093814)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093814)Termination reason: Instruction limit
% 8.54/3.31 % (3093814)Termination phase: Saturation
% 8.54/3.31 % (3093814)Time elapsed: 0.394 s
% 8.54/3.31 % (3093814)Peak memory usage: 17 MB
% 8.54/3.31 % (3093814)Instructions burned: 685 (million)
% 8.54/3.31 % (3093826)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1826662710:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.54/3.31 % (3093826)Cannot represent all propositional literals internally
% 8.54/3.31 % (3093826)Refutation not found, incomplete strategy
% 8.54/3.31 % (3093826)------------------------------
% 8.54/3.31 % (3093826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093826)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093826)Termination reason: Refutation not found, incomplete strategy
% 8.54/3.31 % (3093826)Time elapsed: 0.006 s
% 8.54/3.31 % (3093826)Peak memory usage: 10 MB
% 8.54/3.31 % (3093826)Instructions burned: 13 (million)
% 8.54/3.31 % (3093826)------------------------------
% 8.54/3.31 % (3093826)------------------------------
% 8.54/3.31 % (3093827)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=1255659281: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)
% 8.54/3.31 % (3093822)Instruction limit reached!
% 8.54/3.31 % (3093822)------------------------------
% 8.54/3.31 % (3093822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093822)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093822)Termination reason: Instruction limit
% 8.54/3.31 % (3093822)Termination phase: Finite model building constraint generation
% 8.54/3.31 % (3093822)Time elapsed: 0.302 s
% 8.54/3.31 % (3093822)Peak memory usage: 50 MB
% 8.54/3.31 % (3093822)Instructions burned: 866 (million)
% 8.54/3.31 % (3093829)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1545313477:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.54/3.31 % (3093832)fmb+10_1_sil=64000:random_seed=3971336278:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.54/3.31 % TRYING [1]
% 8.54/3.31 % TRYING [2]
% 8.54/3.31 % TRYING [3]
% 8.54/3.31 % (3093827)Instruction limit reached!
% 8.54/3.31 % (3093827)------------------------------
% 8.54/3.31 % (3093827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093827)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093827)Termination reason: Instruction limit
% 8.54/3.31 % (3093827)Termination phase: Saturation
% 8.54/3.31 % (3093827)Time elapsed: 0.398 s
% 8.54/3.31 % (3093827)Peak memory usage: 20 MB
% 8.54/3.31 % (3093827)Instructions burned: 693 (million)
% 8.54/3.31 % (3093834)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2803602059:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.54/3.31 % (3093834)Cannot represent all propositional literals internally
% 8.54/3.31 % (3093834)Refutation not found, incomplete strategy
% 8.54/3.31 % (3093834)------------------------------
% 8.54/3.31 % (3093834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093834)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093834)Termination reason: Refutation not found, incomplete strategy
% 8.54/3.31 % (3093834)Time elapsed: 0.006 s
% 8.54/3.31 % (3093834)Peak memory usage: 10 MB
% 8.54/3.31 % (3093834)Instructions burned: 13 (million)
% 8.54/3.31 % (3093834)------------------------------
% 8.54/3.31 % (3093834)------------------------------
% 8.54/3.31 % (3093836)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1384989159:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.54/3.31 % TRYING [8]
% 8.54/3.31 % (3093829)Instruction limit reached!
% 8.54/3.31 % (3093829)------------------------------
% 8.54/3.31 % (3093829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093829)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093829)Termination reason: Instruction limit
% 8.54/3.31 % (3093829)Termination phase: Saturation
% 8.54/3.31 % (3093829)Time elapsed: 0.492 s
% 8.54/3.31 % (3093829)Peak memory usage: 18 MB
% 8.54/3.31 % (3093829)Instructions burned: 880 (million)
% 8.54/3.31 % (3093824)Instruction limit reached!
% 8.54/3.31 % (3093824)------------------------------
% 8.54/3.31 % (3093824)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093824)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093824)Termination reason: Instruction limit
% 8.54/3.31 % (3093824)Termination phase: Saturation
% 8.54/3.31 % (3093824)Time elapsed: 0.663 s
% 8.54/3.31 % (3093824)Peak memory usage: 21 MB
% 8.54/3.31 % (3093824)Instructions burned: 1180 (million)
% 8.54/3.31 % (3093838)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4119637385:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.54/3.31 % (3093839)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1169038300:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 8.54/3.31 % (3093836)Instruction limit reached!
% 8.54/3.31 % (3093836)------------------------------
% 8.54/3.31 % (3093836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093836)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093836)Termination reason: Instruction limit
% 8.54/3.31 % (3093836)Termination phase: Finite model building constraint generation
% 8.54/3.31 % (3093836)Time elapsed: 0.286 s
% 8.54/3.31 % (3093836)Peak memory usage: 45 MB
% 8.54/3.31 % (3093836)Instructions burned: 921 (million)
% 8.54/3.31 % (3093842)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2811282488:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 8.54/3.31 % (3093842)Cannot represent all propositional literals internally
% 8.54/3.31 % (3093842)Refutation not found, incomplete strategy
% 8.54/3.31 % (3093842)------------------------------
% 8.54/3.31 % (3093842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093842)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093842)Termination reason: Refutation not found, incomplete strategy
% 8.54/3.31 % (3093842)Time elapsed: 0.008 s
% 8.54/3.31 % (3093842)Peak memory usage: 11 MB
% 8.54/3.31 % (3093842)Instructions burned: 16 (million)
% 8.54/3.31 % (3093842)------------------------------
% 8.54/3.31 % (3093842)------------------------------
% 8.54/3.31 % (3093844)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2836018111:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 8.54/3.31 % (3093844)Cannot represent all propositional literals internally
% 8.54/3.31 % (3093844)Refutation not found, incomplete strategy
% 8.54/3.31 % (3093844)------------------------------
% 8.54/3.31 % (3093844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093844)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093844)Termination reason: Refutation not found, incomplete strategy
% 8.54/3.31 % (3093844)Time elapsed: 0.083 s
% 8.54/3.31 % (3093844)Peak memory usage: 13 MB
% 8.54/3.31 % (3093844)Instructions burned: 166 (million)
% 8.54/3.31 % (3093844)------------------------------
% 8.54/3.31 % (3093844)------------------------------
% 8.54/3.31 % (3093846)ott-2_1_sil=16000:newcnf=on:random_seed=769057143:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 8.54/3.31 % (3093846)Instruction limit reached!
% 8.54/3.31 % (3093846)------------------------------
% 8.54/3.31 % (3093846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093846)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093846)Termination reason: Instruction limit
% 8.54/3.31 % (3093846)Termination phase: Saturation
% 8.54/3.31 % (3093846)Time elapsed: 0.553 s
% 8.54/3.31 % (3093846)Peak memory usage: 17 MB
% 8.54/3.31 % (3093846)Instructions burned: 869 (million)
% 8.54/3.31 % (3093848)ott+10_1_sil=32000:tgt=ground:random_seed=2646316839:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 8.54/3.31 % (3093839)Instruction limit reached!
% 8.54/3.31 % (3093839)------------------------------
% 8.54/3.31 % (3093839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093839)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093839)Termination reason: Instruction limit
% 8.54/3.31 % (3093839)Termination phase: Saturation
% 8.54/3.31 % (3093839)Time elapsed: 0.980 s
% 8.54/3.31 % (3093839)Peak memory usage: 33 MB
% 8.54/3.31 % (3093839)Instructions burned: 1473 (million)
% 8.54/3.31 % (3093850)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4262283330:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 8.54/3.31 % TRYING [1]
% 8.54/3.31 % TRYING [2]
% 8.54/3.31 % TRYING [3]
% 8.54/3.31 % (3093848) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3093793-3093848"...
% 8.54/3.31 % (3093848)...printing done.
% 8.54/3.31 % (3093848)Refutation found. Thanks to Tanya!
% 8.54/3.31 % SZS status Theorem for theBenchmark
% 8.54/3.31 % SZS output start Proof for theBenchmark
% See solution above
% 8.54/3.31 % (3093848)------------------------------
% 8.54/3.31 % (3093848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.54/3.31 % (3093848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/3.31 % (3093848)CaDiCaL version: 2.1.3
% 8.54/3.31 % (3093848)Termination reason: Refutation
% 8.54/3.31 % (3093848)Time elapsed: 0.817 s
% 8.54/3.31 % (3093848)Peak memory usage: 25 MB
% 8.54/3.31 % (3093848)Instructions burned: 1259 (million)
% 8.54/3.31 % (3093793)Success in time 2.877 s
% 8.54/3.31 % Vampire exiting
%------------------------------------------------------------------------------