%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO559+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 : n014.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 8.63s 3.34s
% Output : Refutation 8.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of formulae : 150 ( 19 unt; 0 def)
% Number of atoms : 401 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 424 ( 173 ~; 171 |; 52 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-6 aty)
% Number of variables : 660 ( 635 !; 25 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/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(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& para(X3,X4,X1,X2)
& coll(X4,X0,X2) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) )
=> para(X2,X7,X6,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012019) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) )
=> para(X2,X7,X6,X4) ),
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(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(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
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(f159,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
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(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& circle(X3,X0,X1,X2)
& circle(X5,X0,X1,X4)
& circle(X5,X0,X6,X8)
& coll(X6,X0,X2)
& circle(X3,X1,X7,X9)
& coll(X7,X1,X4) ),
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(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ para(sK22,sK27,sK26,sK24)
& circle(sK23,sK20,sK21,sK22)
& circle(sK25,sK20,sK21,sK24)
& circle(sK25,sK20,sK26,sK28)
& coll(sK26,sK20,sK22)
& circle(sK23,sK21,sK27,sK29)
& coll(sK27,sK21,sK24) ),
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(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(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2)
| ~ coll(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
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(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
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(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f385,plain,
circle(sK23,sK21,sK27,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK22,sK27,sK26,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f416,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f486,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f370,f278]) ).
fof(f496,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f512,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f557,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(f558,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f573,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(f760,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(f770,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(f1552,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f512,f416]) ).
fof(f1681,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f557,f309]) ).
fof(f1713,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f558,f291]) ).
fof(f1883,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f573,f313]) ).
fof(f1884,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f573,f312]) ).
fof(f1894,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1883,f1884]) ).
fof(f3167,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f496,f486]) ).
fof(f3172,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f3167]) ).
fof(f4662,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,[],[f760,f770]) ).
fof(f4669,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f4662]) ).
fof(f11593,plain,
para(sK21,sK23,sK21,sK23),
inference(resolution,[],[f3172,f385]) ).
fof(f11600,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f11593,f1681]) ).
fof(f11881,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11600,f337]) ).
fof(f11882,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f11600,f1894]) ).
fof(f11887,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11600,f335]) ).
fof(f11891,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f11600,f274]) ).
fof(f11906,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11887,f11600]) ).
fof(f11915,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11881,f272]) ).
fof(f12109,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11915,f271]) ).
fof(f12184,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f12109,f273]) ).
fof(f12213,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f12184,f12109]) ).
fof(f14515,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11882,f287]) ).
fof(f14550,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14515,f11882]) ).
fof(f14614,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ coll(X2,X1,X0) ),
inference(resolution,[],[f11891,f316]) ).
fof(f14627,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0) ),
inference(forward_subsumption_resolution,[],[f14614,f12213]) ).
fof(f14988,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,[],[f1713,f314]) ).
fof(f15001,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,[],[f14988]) ).
fof(f15002,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f15001,f14550]) ).
fof(f15016,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f15002,f14550]) ).
fof(f15019,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f15016,f14550]) ).
fof(f15026,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f15019,f338]) ).
fof(f15054,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f15026,f12213]) ).
fof(f17842,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11906,f15054]) ).
fof(f21721,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[],[f14627,f17842]) ).
fof(f21768,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f21721,f1552]) ).
fof(f21816,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f21768,f21721]) ).
fof(f22107,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f21816,f338]) ).
fof(f22236,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f22107,f12213]) ).
fof(f22280,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f22236,f4669]) ).
fof(f22352,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f22280,f22236]) ).
fof(f23481,plain,
$false,
inference(resolution,[],[f22352,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO559+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 : n014.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 08:31:01 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
% 8.37/1.73 % (504564)Will run a generic schedule for satisfiability detection.
% 8.37/1.73 % (504571)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=563416909:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.37/1.73 % (504570)% WARNING: option uhcvi not known.
% 8.37/1.73 % (504569)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3689259574_2999 on theBenchmark for (2999ds/0Mi)
% 8.37/1.73 % (504570)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2717254783:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.37/1.73 % (504572)dis+10_1_sil=32000:sp=arity:random_seed=1338611499:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.37/1.73 % (504573)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3613799363:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.37/1.73 % (504575)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1590018359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.37/1.73 % (504574)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1997460950:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.37/1.73 % TRYING [1]
% 8.37/1.73 % TRYING [2]
% 8.37/1.73 % TRYING [3]
% 8.37/1.73 % (504572)Instruction limit reached!
% 8.37/1.73 % (504572)------------------------------
% 8.37/1.73 % (504572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.73 % (504572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.73 % (504572)CaDiCaL version: 2.1.3
% 8.37/1.73 % (504572)Termination reason: Instruction limit
% 8.37/1.73 % (504572)Termination phase: Saturation
% 8.37/1.73 % (504572)Time elapsed: 0.064 s
% 8.37/1.73 % (504572)Peak memory usage: 12 MB
% 8.37/1.73 % (504572)Instructions burned: 103 (million)
% 8.37/1.73 % (504573)Instruction limit reached!
% 8.37/1.73 % (504573)------------------------------
% 8.37/1.73 % (504573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.73 % (504573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.73 % (504573)CaDiCaL version: 2.1.3
% 8.37/1.73 % (504573)Termination reason: Instruction limit
% 8.37/1.73 % (504573)Termination phase: Saturation
% 8.37/1.73 % (504573)Time elapsed: 0.067 s
% 8.37/1.73 % (504573)Peak memory usage: 13 MB
% 8.37/1.73 % (504573)Instructions burned: 116 (million)
% 8.37/1.73 % (504574)Instruction limit reached!
% 8.37/1.73 % (504574)------------------------------
% 8.37/1.73 % (504574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.73 % (504574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.73 % (504574)CaDiCaL version: 2.1.3
% 8.37/1.73 % (504574)Termination reason: Instruction limit
% 8.37/1.73 % (504574)Termination phase: Saturation
% 8.37/1.73 % (504574)Time elapsed: 0.082 s
% 8.37/1.73 % (504574)Peak memory usage: 14 MB
% 8.37/1.73 % (504574)Instructions burned: 131 (million)
% 8.37/1.73 % (504583)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4254308979:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.37/1.73 % (504584)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=446185640:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 8.37/1.73 % (504575)Instruction limit reached!
% 8.37/1.73 % (504575)------------------------------
% 8.37/1.73 % (504575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.73 % (504575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.37/1.73 % (504575)CaDiCaL version: 2.1.3
% 8.37/1.73 % (504575)Termination reason: Instruction limit
% 8.37/1.73 % (504575)Termination phase: Saturation
% 8.37/1.73 % (504575)Time elapsed: 0.092 s
% 8.37/1.73 % (504575)Peak memory usage: 14 MB
% 8.37/1.73 % (504575)Instructions burned: 159 (million)
% 8.37/1.73 % TRYING [1]
% 8.37/1.73 % TRYING [2]
% 8.37/1.73 % (504585)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=821840242:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.37/1.73 % (504588)ott-21_1_sil=16000:fs=off:random_seed=2426470301:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.37/1.73 % TRYING [3]
% 8.37/1.73 % (504584)Instruction limit reached!
% 8.37/1.73 % (504584)------------------------------
% 8.37/1.73 % (504584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.37/1.73 % (504584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504584)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504584)Termination reason: Instruction limit
% 8.63/3.33 % (504584)Termination phase: Saturation
% 8.63/3.33 % (504584)Time elapsed: 0.084 s
% 8.63/3.33 % (504584)Peak memory usage: 14 MB
% 8.63/3.33 % (504584)Instructions burned: 132 (million)
% 8.63/3.33 % (504591)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1260178070:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.63/3.33 % (504588)Instruction limit reached!
% 8.63/3.33 % (504588)------------------------------
% 8.63/3.33 % (504588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504588)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504588)Termination reason: Instruction limit
% 8.63/3.33 % (504588)Termination phase: Saturation
% 8.63/3.33 % (504588)Time elapsed: 0.094 s
% 8.63/3.33 % (504588)Peak memory usage: 13 MB
% 8.63/3.33 % (504588)Instructions burned: 180 (million)
% 8.63/3.33 % (504593)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=881149600:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.63/3.33 % TRYING [1]
% 8.63/3.33 % TRYING [2]
% 8.63/3.33 % TRYING [3]
% 8.63/3.33 % (504583)Instruction limit reached!
% 8.63/3.33 % (504583)------------------------------
% 8.63/3.33 % (504583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504583)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504583)Termination reason: Instruction limit
% 8.63/3.33 % (504583)Termination phase: Finite model building constraint generation
% 8.63/3.33 % (504583)Time elapsed: 0.250 s
% 8.63/3.33 % (504583)Peak memory usage: 24 MB
% 8.63/3.33 % (504583)Instructions burned: 715 (million)
% 8.63/3.33 % (504595)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4096140563:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.63/3.33 % (504591)Instruction limit reached!
% 8.63/3.33 % (504591)------------------------------
% 8.63/3.33 % (504591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504591)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504591)Termination reason: Instruction limit
% 8.63/3.33 % (504591)Termination phase: Saturation
% 8.63/3.33 % (504591)Time elapsed: 0.280 s
% 8.63/3.33 % (504591)Peak memory usage: 13 MB
% 8.63/3.33 % (504591)Instructions burned: 477 (million)
% 8.63/3.33 % (504597)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=981071487:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.63/3.33 % (504585)Instruction limit reached!
% 8.63/3.33 % (504585)------------------------------
% 8.63/3.33 % (504585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504585)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504585)Termination reason: Instruction limit
% 8.63/3.33 % (504585)Termination phase: Saturation
% 8.63/3.33 % (504585)Time elapsed: 0.397 s
% 8.63/3.33 % (504585)Peak memory usage: 20 MB
% 8.63/3.33 % (504585)Instructions burned: 684 (million)
% 8.63/3.33 % (504597)Cannot represent all propositional literals internally
% 8.63/3.33 % (504597)Refutation not found, incomplete strategy
% 8.63/3.33 % (504597)------------------------------
% 8.63/3.33 % (504597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504597)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504597)Termination reason: Refutation not found, incomplete strategy
% 8.63/3.33 % (504597)Time elapsed: 0.006 s
% 8.63/3.33 % (504597)Peak memory usage: 10 MB
% 8.63/3.33 % (504597)Instructions burned: 12 (million)
% 8.63/3.33 % (504597)------------------------------
% 8.63/3.33 % (504597)------------------------------
% 8.63/3.33 % (504599)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=559500334: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)
% 8.63/3.33 % (504600)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1703420576:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.63/3.33 % (504593)Instruction limit reached!
% 8.63/3.33 % (504593)------------------------------
% 8.63/3.33 % (504593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504593)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504593)Termination reason: Instruction limit
% 8.63/3.33 % (504593)Termination phase: Finite model building constraint generation
% 8.63/3.33 % (504593)Time elapsed: 0.302 s
% 8.63/3.33 % (504593)Peak memory usage: 50 MB
% 8.63/3.33 % (504593)Instructions burned: 866 (million)
% 8.63/3.33 % (504603)fmb+10_1_sil=64000:random_seed=1294424760:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.63/3.33 % TRYING [1]
% 8.63/3.33 % TRYING [2]
% 8.63/3.33 % TRYING [3]
% 8.63/3.33 % (504599)Instruction limit reached!
% 8.63/3.33 % (504599)------------------------------
% 8.63/3.33 % (504599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504599)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504599)Termination reason: Instruction limit
% 8.63/3.33 % (504599)Termination phase: Saturation
% 8.63/3.33 % (504599)Time elapsed: 0.398 s
% 8.63/3.33 % (504599)Peak memory usage: 17 MB
% 8.63/3.33 % (504599)Instructions burned: 693 (million)
% 8.63/3.33 % (504605)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=332349586:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.63/3.33 % (504605)Cannot represent all propositional literals internally
% 8.63/3.33 % (504605)Refutation not found, incomplete strategy
% 8.63/3.33 % (504605)------------------------------
% 8.63/3.33 % (504605)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.33 % (504605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.33 % (504605)CaDiCaL version: 2.1.3
% 8.63/3.33 % (504605)Termination reason: Refutation not found, incomplete strategy
% 8.63/3.33 % (504605)Time elapsed: 0.006 s
% 8.63/3.33 % (504605)Peak memory usage: 10 MB
% 8.63/3.33 % (504605)Instructions burned: 12 (million)
% 8.63/3.33 % (504605)------------------------------
% 8.63/3.33 % (504605)------------------------------
% 8.63/3.33 % (504607)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1375460152:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 8.63/3.33 % TRYING [8]
% 8.63/3.33 % (504600)Instruction limit reached!
% 8.63/3.33 % (504600)------------------------------
% 8.63/3.34 % (504600)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504600)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504600)Termination reason: Instruction limit
% 8.63/3.34 % (504600)Termination phase: Saturation
% 8.63/3.34 % (504600)Time elapsed: 0.475 s
% 8.63/3.34 % (504600)Peak memory usage: 18 MB
% 8.63/3.34 % (504600)Instructions burned: 879 (million)
% 8.63/3.34 % (504609)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3505854766:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.63/3.34 % (504595)Instruction limit reached!
% 8.63/3.34 % (504595)------------------------------
% 8.63/3.34 % (504595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504595)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504595)Termination reason: Instruction limit
% 8.63/3.34 % (504595)Termination phase: Saturation
% 8.63/3.34 % (504595)Time elapsed: 0.710 s
% 8.63/3.34 % (504595)Peak memory usage: 24 MB
% 8.63/3.34 % (504595)Instructions burned: 1181 (million)
% 8.63/3.34 % (504611)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3867806307:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 8.63/3.34 % (504607)Instruction limit reached!
% 8.63/3.34 % (504607)------------------------------
% 8.63/3.34 % (504607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504607)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504607)Termination reason: Instruction limit
% 8.63/3.34 % (504607)Termination phase: Finite model building constraint generation
% 8.63/3.34 % (504607)Time elapsed: 0.280 s
% 8.63/3.34 % (504607)Peak memory usage: 45 MB
% 8.63/3.34 % (504607)Instructions burned: 920 (million)
% 8.63/3.34 % (504613)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3214622998:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 8.63/3.34 % (504613)Cannot represent all propositional literals internally
% 8.63/3.34 % (504613)Refutation not found, incomplete strategy
% 8.63/3.34 % (504613)------------------------------
% 8.63/3.34 % (504613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504613)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504613)Termination reason: Refutation not found, incomplete strategy
% 8.63/3.34 % (504613)Time elapsed: 0.008 s
% 8.63/3.34 % (504613)Peak memory usage: 11 MB
% 8.63/3.34 % (504613)Instructions burned: 15 (million)
% 8.63/3.34 % (504613)------------------------------
% 8.63/3.34 % (504613)------------------------------
% 8.63/3.34 % (504615)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3582527011:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 8.63/3.34 % (504615)Cannot represent all propositional literals internally
% 8.63/3.34 % (504615)Refutation not found, incomplete strategy
% 8.63/3.34 % (504615)------------------------------
% 8.63/3.34 % (504615)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504615)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504615)Termination reason: Refutation not found, incomplete strategy
% 8.63/3.34 % (504615)Time elapsed: 0.082 s
% 8.63/3.34 % (504615)Peak memory usage: 12 MB
% 8.63/3.34 % (504615)Instructions burned: 166 (million)
% 8.63/3.34 % (504615)------------------------------
% 8.63/3.34 % (504615)------------------------------
% 8.63/3.34 % (504617)ott-2_1_sil=16000:newcnf=on:random_seed=2778433089:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 8.63/3.34 % (504617)Instruction limit reached!
% 8.63/3.34 % (504617)------------------------------
% 8.63/3.34 % (504617)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504617)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504617)Termination reason: Instruction limit
% 8.63/3.34 % (504617)Termination phase: Saturation
% 8.63/3.34 % (504617)Time elapsed: 0.541 s
% 8.63/3.34 % (504617)Peak memory usage: 16 MB
% 8.63/3.34 % (504617)Instructions burned: 869 (million)
% 8.63/3.34 % (504619)ott+10_1_sil=32000:tgt=ground:random_seed=1162078775:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 8.63/3.34 % (504611)Instruction limit reached!
% 8.63/3.34 % (504611)------------------------------
% 8.63/3.34 % (504611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504611)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504611)Termination reason: Instruction limit
% 8.63/3.34 % (504611)Termination phase: Saturation
% 8.63/3.34 % (504611)Time elapsed: 0.951 s
% 8.63/3.34 % (504611)Peak memory usage: 34 MB
% 8.63/3.34 % (504611)Instructions burned: 1472 (million)
% 8.63/3.34 % (504621)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3801311936:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 8.63/3.34 % TRYING [1]
% 8.63/3.34 % TRYING [2]
% 8.63/3.34 % TRYING [3]
% 8.63/3.34 % (504619) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-504564-504619"...
% 8.63/3.34 % (504619)...printing done.
% 8.63/3.34 % (504619)Refutation found. Thanks to Tanya!
% 8.63/3.34 % SZS status Theorem for theBenchmark
% 8.63/3.34 % SZS output start Proof for theBenchmark
% See solution above
% 8.63/3.34 % (504619)------------------------------
% 8.63/3.34 % (504619)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.63/3.34 % (504619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/3.34 % (504619)CaDiCaL version: 2.1.3
% 8.63/3.34 % (504619)Termination reason: Refutation
% 8.63/3.34 % (504619)Time elapsed: 0.865 s
% 8.63/3.34 % (504619)Peak memory usage: 26 MB
% 8.63/3.34 % (504619)Instructions burned: 1415 (million)
% 8.63/3.34 % (504564)Success in time 2.916 s
% 8.63/3.34 % Vampire exiting
%------------------------------------------------------------------------------