%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO548+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.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 09:54:42 AM UTC 2026
% Result : Theorem 12.57s 3.31s
% Output : Refutation 12.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 142 ( 19 unt; 0 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 449 ( 170 ~; 166 |; 87 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-6 aty)
% Number of variables : 703 ( 674 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& coll(X10,X8,X9)
& coll(X10,X5,X6) )
=> eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012008) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& coll(X10,X8,X9)
& coll(X10,X5,X6) )
=> eqangle(X4,X0,X0,X7,X9,X10,X10,X6) ),
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(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(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,X10,X11,X12] :
( ~ eqangle(X4,X0,X0,X7,X9,X10,X10,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& coll(X10,X8,X9)
& coll(X10,X5,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
( ~ eqangle(X4,X0,X0,X7,X9,X10,X10,X6)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X11)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2)
& circle(X3,X0,X7,X12)
& perp(X8,X7,X0,X1)
& coll(X8,X0,X1)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& coll(X10,X8,X9)
& coll(X10,X5,X6) ),
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,
( ~ eqangle(sK24,sK20,sK20,sK27,sK29,sK30,sK30,sK26)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK31)
& perp(sK25,sK24,sK20,sK21)
& coll(sK25,sK20,sK21)
& perp(sK26,sK24,sK20,sK22)
& coll(sK26,sK20,sK22)
& circle(sK23,sK20,sK27,sK32)
& perp(sK28,sK27,sK20,sK21)
& coll(sK28,sK20,sK21)
& perp(sK29,sK27,sK20,sK22)
& coll(sK29,sK20,sK22)
& coll(sK30,sK28,sK29)
& coll(sK30,sK25,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32]),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),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32)],[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(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(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(f387,plain,
perp(sK29,sK27,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f397,plain,
~ eqangle(sK24,sK20,sK20,sK27,sK29,sK30,sK30,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f430,plain,
perp(sK20,sK22,sK29,sK27),
inference(resolution,[],[f278,f387]) ).
fof(f552,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK29,sK27) ),
inference(resolution,[],[f430,f279]) ).
fof(f633,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(f634,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f651,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(f682,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(f833,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(f842,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(f991,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,[],[f292,f310]) ).
fof(f1648,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f633,f309]) ).
fof(f1680,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f634,f291]) ).
fof(f1829,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f651,f313]) ).
fof(f1830,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f651,f312]) ).
fof(f1840,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1829,f1830]) ).
fof(f2179,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,[],[f682,f346]) ).
fof(f3481,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X0,X1,X4,X5)
| ~ para(X2,X3,X6,X7) ),
inference(resolution,[],[f991,f633]) ).
fof(f3574,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,[],[f833,f842]) ).
fof(f3581,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3574]) ).
fof(f5162,plain,
para(sK29,sK27,sK29,sK27),
inference(resolution,[],[f552,f387]) ).
fof(f11154,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1648,f5162]) ).
fof(f11289,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11154,f337]) ).
fof(f11290,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f11154,f1840]) ).
fof(f11295,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11154,f335]) ).
fof(f11324,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11295,f11154]) ).
fof(f11326,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11289,f272]) ).
fof(f11423,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11326,f271]) ).
fof(f11515,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11423,f273]) ).
fof(f11543,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11515,f11423]) ).
fof(f14088,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11290,f287]) ).
fof(f14119,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14088,f11290]) ).
fof(f14374,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(resolution,[],[f1680,f314]) ).
fof(f14387,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f14374]) ).
fof(f14388,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14387,f14119]) ).
fof(f14401,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14388,f14119]) ).
fof(f14404,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f14401,f14119]) ).
fof(f14465,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14404,f338]) ).
fof(f14496,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14465,f11543]) ).
fof(f20105,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11324,f14496]) ).
fof(f21388,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2179,f14404]) ).
fof(f21492,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f21388,f20105]) ).
fof(f21498,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f21492,f20105]) ).
fof(f21501,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f21498,f338]) ).
fof(f21631,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f21501,f11543]) ).
fof(f21723,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f21631,f3581]) ).
fof(f21768,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f21723,f21631]) ).
fof(f29836,plain,
( ~ para(sK24,sK20,sK29,sK30)
| ~ para(sK20,sK27,sK30,sK26) ),
inference(resolution,[],[f3481,f397]) ).
fof(f29888,plain,
~ para(sK24,sK20,sK29,sK30),
inference(forward_subsumption_resolution,[],[f29836,f21768]) ).
fof(f29901,plain,
$false,
inference(forward_subsumption_resolution,[],[f29888,f21768]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO548+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:29:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.36/1.72 % (2687322)Will run a generic schedule for satisfiability detection.
% 8.36/1.72 % (2687328)% WARNING: option uhcvi not known.
% 8.36/1.72 % (2687328)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3609582865:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.36/1.72 % (2687327)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1494269417_2999 on theBenchmark for (2999ds/0Mi)
% 8.36/1.72 % (2687331)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1511434069:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.36/1.72 % (2687329)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3779415242:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.36/1.72 % (2687330)dis+10_1_sil=32000:sp=arity:random_seed=171415602:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.36/1.72 % (2687333)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3371259246:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.36/1.72 % (2687332)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1814302677:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.36/1.72 % TRYING [1]
% 8.36/1.72 % TRYING [2]
% 8.36/1.72 % TRYING [3]
% 8.36/1.72 % (2687330)Instruction limit reached!
% 8.36/1.72 % (2687330)------------------------------
% 8.36/1.72 % (2687330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.72 % (2687330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.72 % (2687330)CaDiCaL version: 2.1.3
% 8.36/1.72 % (2687330)Termination reason: Instruction limit
% 8.36/1.72 % (2687330)Termination phase: Saturation
% 8.36/1.72 % (2687330)Time elapsed: 0.067 s
% 8.36/1.72 % (2687330)Peak memory usage: 13 MB
% 8.36/1.72 % (2687330)Instructions burned: 104 (million)
% 8.36/1.72 % (2687331)Instruction limit reached!
% 8.36/1.72 % (2687331)------------------------------
% 8.36/1.72 % (2687331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.72 % (2687331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.72 % (2687331)CaDiCaL version: 2.1.3
% 8.36/1.72 % (2687331)Termination reason: Instruction limit
% 8.36/1.72 % (2687331)Termination phase: Saturation
% 8.36/1.72 % (2687331)Time elapsed: 0.070 s
% 8.36/1.72 % (2687331)Peak memory usage: 13 MB
% 8.36/1.72 % (2687331)Instructions burned: 116 (million)
% 8.36/1.72 % (2687332)Instruction limit reached!
% 8.36/1.72 % (2687332)------------------------------
% 8.36/1.72 % (2687332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.72 % (2687332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.72 % (2687332)CaDiCaL version: 2.1.3
% 8.36/1.72 % (2687332)Termination reason: Instruction limit
% 8.36/1.72 % (2687332)Termination phase: Saturation
% 8.36/1.72 % (2687332)Time elapsed: 0.082 s
% 8.36/1.72 % (2687332)Peak memory usage: 14 MB
% 8.36/1.72 % (2687332)Instructions burned: 133 (million)
% 8.36/1.72 % (2687333)Instruction limit reached!
% 8.36/1.72 % (2687333)------------------------------
% 8.36/1.72 % (2687333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.72 % (2687333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.36/1.72 % (2687333)CaDiCaL version: 2.1.3
% 8.36/1.72 % (2687333)Termination reason: Instruction limit
% 8.36/1.72 % (2687333)Termination phase: Saturation
% 8.36/1.72 % (2687333)Time elapsed: 0.087 s
% 8.36/1.72 % (2687333)Peak memory usage: 14 MB
% 8.36/1.72 % (2687333)Instructions burned: 159 (million)
% 8.36/1.72 % (2687341)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1171102678:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.36/1.72 % (2687342)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2069495640:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.36/1.72 % TRYING [1]
% 8.36/1.72 % TRYING [2]
% 8.36/1.72 % (2687343)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=2882439105:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.36/1.72 % (2687346)ott-21_1_sil=16000:fs=off:random_seed=1833783220:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.36/1.72 % TRYING [3]
% 8.36/1.72 % (2687342)Instruction limit reached!
% 8.36/1.72 % (2687342)------------------------------
% 8.36/1.72 % (2687342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.36/1.72 % (2687342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687342)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687342)Termination reason: Instruction limit
% 12.57/3.31 % (2687342)Termination phase: Saturation
% 12.57/3.31 % (2687342)Time elapsed: 0.080 s
% 12.57/3.31 % (2687342)Peak memory usage: 14 MB
% 12.57/3.31 % (2687342)Instructions burned: 132 (million)
% 12.57/3.31 % (2687349)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1990140457:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.57/3.31 % (2687346)Instruction limit reached!
% 12.57/3.31 % (2687346)------------------------------
% 12.57/3.31 % (2687346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687346)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687346)Termination reason: Instruction limit
% 12.57/3.31 % (2687346)Termination phase: Saturation
% 12.57/3.31 % (2687346)Time elapsed: 0.095 s
% 12.57/3.31 % (2687346)Peak memory usage: 13 MB
% 12.57/3.31 % (2687346)Instructions burned: 181 (million)
% 12.57/3.31 % (2687351)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1054814121:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.57/3.31 % TRYING [1]
% 12.57/3.31 % TRYING [2]
% 12.57/3.31 % TRYING [3]
% 12.57/3.31 % (2687341)Instruction limit reached!
% 12.57/3.31 % (2687341)------------------------------
% 12.57/3.31 % (2687341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687341)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687341)Termination reason: Instruction limit
% 12.57/3.31 % (2687341)Termination phase: Finite model building constraint generation
% 12.57/3.31 % (2687341)Time elapsed: 0.249 s
% 12.57/3.31 % (2687341)Peak memory usage: 24 MB
% 12.57/3.31 % (2687341)Instructions burned: 716 (million)
% 12.57/3.31 % (2687353)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3926193267:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.57/3.31 % (2687349)Instruction limit reached!
% 12.57/3.31 % (2687349)------------------------------
% 12.57/3.31 % (2687349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687349)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687349)Termination reason: Instruction limit
% 12.57/3.31 % (2687349)Termination phase: Saturation
% 12.57/3.31 % (2687349)Time elapsed: 0.272 s
% 12.57/3.31 % (2687349)Peak memory usage: 14 MB
% 12.57/3.31 % (2687349)Instructions burned: 478 (million)
% 12.57/3.31 % (2687355)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3287181445:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 12.57/3.31 % (2687355)Cannot represent all propositional literals internally
% 12.57/3.31 % (2687355)Refutation not found, incomplete strategy
% 12.57/3.31 % (2687355)------------------------------
% 12.57/3.31 % (2687355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687355)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687355)Termination reason: Refutation not found, incomplete strategy
% 12.57/3.31 % (2687355)Time elapsed: 0.007 s
% 12.57/3.31 % (2687355)Peak memory usage: 11 MB
% 12.57/3.31 % (2687355)Instructions burned: 13 (million)
% 12.57/3.31 % (2687355)------------------------------
% 12.57/3.31 % (2687355)------------------------------
% 12.57/3.31 % (2687343)Instruction limit reached!
% 12.57/3.31 % (2687343)------------------------------
% 12.57/3.31 % (2687343)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687343)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687343)Termination reason: Instruction limit
% 12.57/3.31 % (2687343)Termination phase: Saturation
% 12.57/3.31 % (2687343)Time elapsed: 0.406 s
% 12.57/3.31 % (2687343)Peak memory usage: 19 MB
% 12.57/3.31 % (2687343)Instructions burned: 684 (million)
% 12.57/3.31 % (2687357)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=2022213718: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)
% 12.57/3.31 % (2687351)Instruction limit reached!
% 12.57/3.31 % (2687351)------------------------------
% 12.57/3.31 % (2687351)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687351)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687351)Termination reason: Instruction limit
% 12.57/3.31 % (2687351)Termination phase: Finite model building constraint generation
% 12.57/3.31 % (2687351)Time elapsed: 0.302 s
% 12.57/3.31 % (2687351)Peak memory usage: 51 MB
% 12.57/3.31 % (2687351)Instructions burned: 866 (million)
% 12.57/3.31 % (2687359)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2191167283:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 12.57/3.31 % (2687361)fmb+10_1_sil=64000:random_seed=2716936897:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 12.57/3.31 % TRYING [1]
% 12.57/3.31 % TRYING [2]
% 12.57/3.31 % TRYING [3]
% 12.57/3.31 % (2687357)Instruction limit reached!
% 12.57/3.31 % (2687357)------------------------------
% 12.57/3.31 % (2687357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687357)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687357)Termination reason: Instruction limit
% 12.57/3.31 % (2687357)Termination phase: Saturation
% 12.57/3.31 % (2687357)Time elapsed: 0.391 s
% 12.57/3.31 % (2687357)Peak memory usage: 20 MB
% 12.57/3.31 % (2687357)Instructions burned: 692 (million)
% 12.57/3.31 % (2687363)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3384756069:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.57/3.31 % (2687363)Cannot represent all propositional literals internally
% 12.57/3.31 % (2687363)Refutation not found, incomplete strategy
% 12.57/3.31 % (2687363)------------------------------
% 12.57/3.31 % (2687363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687363)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687363)Termination reason: Refutation not found, incomplete strategy
% 12.57/3.31 % (2687363)Time elapsed: 0.007 s
% 12.57/3.31 % (2687363)Peak memory usage: 11 MB
% 12.57/3.31 % (2687363)Instructions burned: 13 (million)
% 12.57/3.31 % (2687363)------------------------------
% 12.57/3.31 % (2687363)------------------------------
% 12.57/3.31 % (2687365)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1721866118:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 12.57/3.31 % TRYING [8]
% 12.57/3.31 % (2687359)Instruction limit reached!
% 12.57/3.31 % (2687359)------------------------------
% 12.57/3.31 % (2687359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687359)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687359)Termination reason: Instruction limit
% 12.57/3.31 % (2687359)Termination phase: Saturation
% 12.57/3.31 % (2687359)Time elapsed: 0.471 s
% 12.57/3.31 % (2687359)Peak memory usage: 17 MB
% 12.57/3.31 % (2687359)Instructions burned: 880 (million)
% 12.57/3.31 % (2687367)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1249364636:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 12.57/3.31 % (2687353)Instruction limit reached!
% 12.57/3.31 % (2687353)------------------------------
% 12.57/3.31 % (2687353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687353)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687353)Termination reason: Instruction limit
% 12.57/3.31 % (2687353)Termination phase: Saturation
% 12.57/3.31 % (2687353)Time elapsed: 0.703 s
% 12.57/3.31 % (2687353)Peak memory usage: 24 MB
% 12.57/3.31 % (2687353)Instructions burned: 1180 (million)
% 12.57/3.31 % (2687369)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2168727325:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 12.57/3.31 % (2687365)Instruction limit reached!
% 12.57/3.31 % (2687365)------------------------------
% 12.57/3.31 % (2687365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687365)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687365)Termination reason: Instruction limit
% 12.57/3.31 % (2687365)Termination phase: Finite model building constraint generation
% 12.57/3.31 % (2687365)Time elapsed: 0.294 s
% 12.57/3.31 % (2687365)Peak memory usage: 51 MB
% 12.57/3.31 % (2687365)Instructions burned: 921 (million)
% 12.57/3.31 % (2687371)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=244235939:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 12.57/3.31 % (2687371)Cannot represent all propositional literals internally
% 12.57/3.31 % (2687371)Refutation not found, incomplete strategy
% 12.57/3.31 % (2687371)------------------------------
% 12.57/3.31 % (2687371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687371)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687371)Termination reason: Refutation not found, incomplete strategy
% 12.57/3.31 % (2687371)Time elapsed: 0.008 s
% 12.57/3.31 % (2687371)Peak memory usage: 11 MB
% 12.57/3.31 % (2687371)Instructions burned: 16 (million)
% 12.57/3.31 % (2687371)------------------------------
% 12.57/3.31 % (2687371)------------------------------
% 12.57/3.31 % (2687373)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=415488253:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 12.57/3.31 % (2687373)Cannot represent all propositional literals internally
% 12.57/3.31 % (2687373)Refutation not found, incomplete strategy
% 12.57/3.31 % (2687373)------------------------------
% 12.57/3.31 % (2687373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687373)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687373)Termination reason: Refutation not found, incomplete strategy
% 12.57/3.31 % (2687373)Time elapsed: 0.082 s
% 12.57/3.31 % (2687373)Peak memory usage: 12 MB
% 12.57/3.31 % (2687373)Instructions burned: 167 (million)
% 12.57/3.31 % (2687373)------------------------------
% 12.57/3.31 % (2687373)------------------------------
% 12.57/3.31 % (2687375)ott-2_1_sil=16000:newcnf=on:random_seed=242253831:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 12.57/3.31 % (2687375)Instruction limit reached!
% 12.57/3.31 % (2687375)------------------------------
% 12.57/3.31 % (2687375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687375)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687375)Termination reason: Instruction limit
% 12.57/3.31 % (2687375)Termination phase: Saturation
% 12.57/3.31 % (2687375)Time elapsed: 0.529 s
% 12.57/3.31 % (2687375)Peak memory usage: 17 MB
% 12.57/3.31 % (2687375)Instructions burned: 870 (million)
% 12.57/3.31 % (2687377)ott+10_1_sil=32000:tgt=ground:random_seed=2674150837:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 12.57/3.31 % (2687369)Instruction limit reached!
% 12.57/3.31 % (2687369)------------------------------
% 12.57/3.31 % (2687369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.31 % (2687369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.31 % (2687369)CaDiCaL version: 2.1.3
% 12.57/3.31 % (2687369)Termination reason: Instruction limit
% 12.57/3.31 % (2687369)Termination phase: Saturation
% 12.57/3.31 % (2687369)Time elapsed: 1.008 s
% 12.57/3.31 % (2687369)Peak memory usage: 33 MB
% 12.57/3.31 % (2687369)Instructions burned: 1473 (million)
% 12.57/3.31 % (2687379)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2972668084:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 12.57/3.31 % TRYING [1]
% 12.57/3.31 % TRYING [2]
% 12.57/3.31 % TRYING [3]
% 12.57/3.31 % TRYING [4]
% 12.57/3.31 % (2687377) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2687322-2687377"...
% 12.57/3.31 % (2687377)...printing done.
% 12.57/3.31 % (2687377)Refutation found. Thanks to Tanya!
% 12.57/3.31 % SZS status Theorem for theBenchmark
% 12.57/3.31 % SZS output start Proof for theBenchmark
% See solution above
% 12.57/3.32 % (2687377)------------------------------
% 12.57/3.32 % (2687377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.57/3.32 % (2687377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/3.32 % (2687377)CaDiCaL version: 2.1.3
% 12.57/3.32 % (2687377)Termination reason: Refutation
% 12.57/3.32 % (2687377)Time elapsed: 0.856 s
% 12.57/3.32 % (2687377)Peak memory usage: 28 MB
% 12.57/3.32 % (2687377)Instructions burned: 1386 (million)
% 12.57/3.32 % (2687322)Success in time 2.895 s
% 12.57/3.32 % Vampire exiting
%------------------------------------------------------------------------------