%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO602+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 : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:50 AM UTC 2026
% Result : Theorem 21.17s 3.45s
% Output : Refutation 21.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 117 ( 15 unt; 0 def)
% Number of atoms : 336 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 351 ( 132 ~; 130 |; 66 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 30 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-4 aty)
% Number of variables : 557 ( 521 !; 36 ?)
% 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(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(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(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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( circle(X1,X2,X8,X9)
& circle(X0,X2,X10,X11)
& circle(X1,X2,X3,X12)
& circle(X0,X2,X3,X13)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X1,X2,X5,X14)
& circle(X0,X2,X6,X15)
& coll(X6,X2,X5)
& coll(X7,X3,X5)
& circle(X0,X2,X7,X16) )
=> perp(X6,X7,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618064) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ( circle(X1,X2,X8,X9)
& circle(X0,X2,X10,X11)
& circle(X1,X2,X3,X12)
& circle(X0,X2,X3,X13)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X1,X2,X5,X14)
& circle(X0,X2,X6,X15)
& coll(X6,X2,X5)
& coll(X7,X3,X5)
& circle(X0,X2,X7,X16) )
=> perp(X6,X7,X5,X1) ),
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(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(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(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(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(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(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,X10,X11,X12,X13,X14,X15,X16] :
( ~ perp(X6,X7,X5,X1)
& circle(X1,X2,X8,X9)
& circle(X0,X2,X10,X11)
& circle(X1,X2,X3,X12)
& circle(X0,X2,X3,X13)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X1,X2,X5,X14)
& circle(X0,X2,X6,X15)
& coll(X6,X2,X5)
& coll(X7,X3,X5)
& circle(X0,X2,X7,X16) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
( ~ perp(X6,X7,X5,X1)
& circle(X1,X2,X8,X9)
& circle(X0,X2,X10,X11)
& circle(X1,X2,X3,X12)
& circle(X0,X2,X3,X13)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& circle(X1,X2,X5,X14)
& circle(X0,X2,X6,X15)
& coll(X6,X2,X5)
& coll(X7,X3,X5)
& circle(X0,X2,X7,X16) ),
inference(flattening,[],[f249]) ).
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,
( ~ perp(sK26,sK27,sK25,sK21)
& circle(sK21,sK22,sK28,sK29)
& circle(sK20,sK22,sK30,sK31)
& circle(sK21,sK22,sK23,sK32)
& circle(sK20,sK22,sK23,sK33)
& coll(sK24,sK20,sK21)
& coll(sK24,sK22,sK23)
& circle(sK21,sK22,sK25,sK34)
& circle(sK20,sK22,sK26,sK35)
& coll(sK26,sK22,sK25)
& coll(sK27,sK23,sK25)
& circle(sK20,sK22,sK27,sK36) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36]),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),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36)],[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(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(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(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(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(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(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(f393,plain,
circle(sK20,sK22,sK30,sK31),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ perp(sK26,sK27,sK25,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f512,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f370,f278]) ).
fof(f519,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(f573,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(f587,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,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f1034,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(f1040,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,[],[f1034]) ).
fof(f1723,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f573,f309]) ).
fof(f1902,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f587,f313]) ).
fof(f1903,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f587,f312]) ).
fof(f1913,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1902,f1903]) ).
fof(f2221,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,[],[f611,f346]) ).
fof(f2839,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f519,f512]) ).
fof(f2842,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f2839]) ).
fof(f15066,plain,
para(sK22,sK20,sK22,sK20),
inference(resolution,[],[f2842,f393]) ).
fof(f15076,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f15066,f1723]) ).
fof(f15128,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f15076,f337]) ).
fof(f15129,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f15076,f1913]) ).
fof(f15134,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f15076,f335]) ).
fof(f15159,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f15134,f15076]) ).
fof(f15161,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f15128,f272]) ).
fof(f15504,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f15161,f271]) ).
fof(f15859,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f15504,f273]) ).
fof(f15923,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f15859,f15504]) ).
fof(f21813,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f15129,f1040]) ).
fof(f21831,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f21813]) ).
fof(f21840,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f21831,f15129]) ).
fof(f22492,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f21840,f338]) ).
fof(f22523,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f22492,f15923]) ).
fof(f25449,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f15159,f22523]) ).
fof(f28264,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1)
| ~ midp(X2,X1,X1) ),
inference(resolution,[],[f2221,f21840]) ).
fof(f28380,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f28264,f25449]) ).
fof(f28381,plain,
! [X2,X0,X1] : cong(X2,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f28380,f25449]) ).
fof(f28421,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f28381,f327]) ).
fof(f28510,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f28421,f28381]) ).
fof(f29012,plain,
$false,
inference(resolution,[],[f28510,f395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO602+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:42:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 Running first-order model finding
% 0.11/0.39 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
% 7.32/1.67 % (3250463)Will run a generic schedule for satisfiability detection.
% 7.32/1.67 % (3250470)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2742374263:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.32/1.67 % (3250468)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4107642762_2999 on theBenchmark for (2999ds/0Mi)
% 7.32/1.67 % (3250471)dis+10_1_sil=32000:sp=arity:random_seed=2077447808:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.32/1.67 % (3250472)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3244301278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.32/1.67 % (3250473)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2669743686:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.32/1.67 % (3250474)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1362001454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.32/1.67 % (3250469)% WARNING: option uhcvi not known.
% 7.32/1.67 % TRYING [1]
% 7.32/1.67 % (3250469)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2264935013:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.32/1.67 % TRYING [2]
% 7.32/1.67 % TRYING [3]
% 7.32/1.67 % (3250471)Instruction limit reached!
% 7.32/1.67 % (3250471)------------------------------
% 7.32/1.67 % (3250471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.67 % (3250471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.67 % (3250471)CaDiCaL version: 2.1.3
% 7.32/1.67 % (3250471)Termination reason: Instruction limit
% 7.32/1.67 % (3250471)Termination phase: Saturation
% 7.32/1.67 % (3250471)Time elapsed: 0.065 s
% 7.32/1.67 % (3250471)Peak memory usage: 13 MB
% 7.32/1.67 % (3250471)Instructions burned: 103 (million)
% 7.32/1.67 % (3250472)Instruction limit reached!
% 7.32/1.67 % (3250472)------------------------------
% 7.32/1.67 % (3250472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.67 % (3250472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.67 % (3250472)CaDiCaL version: 2.1.3
% 7.32/1.67 % (3250472)Termination reason: Instruction limit
% 7.32/1.67 % (3250472)Termination phase: Saturation
% 7.32/1.67 % (3250472)Time elapsed: 0.068 s
% 7.32/1.67 % (3250472)Peak memory usage: 13 MB
% 7.32/1.67 % (3250472)Instructions burned: 116 (million)
% 7.32/1.67 % (3250473)Instruction limit reached!
% 7.32/1.67 % (3250473)------------------------------
% 7.32/1.67 % (3250473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.67 % (3250473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.67 % (3250473)CaDiCaL version: 2.1.3
% 7.32/1.67 % (3250473)Termination reason: Instruction limit
% 7.32/1.67 % (3250473)Termination phase: Saturation
% 7.32/1.67 % (3250473)Time elapsed: 0.081 s
% 7.32/1.67 % (3250473)Peak memory usage: 14 MB
% 7.32/1.67 % (3250473)Instructions burned: 131 (million)
% 7.32/1.67 % (3250482)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3667110602:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.32/1.67 % (3250483)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2249936411:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.32/1.67 % TRYING [1]
% 7.32/1.67 % TRYING [2]
% 7.32/1.67 % (3250474)Instruction limit reached!
% 7.32/1.67 % (3250474)------------------------------
% 7.32/1.67 % (3250474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.67 % (3250474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.32/1.67 % (3250474)CaDiCaL version: 2.1.3
% 7.32/1.67 % (3250474)Termination reason: Instruction limit
% 7.32/1.67 % (3250474)Termination phase: Saturation
% 7.32/1.67 % (3250474)Time elapsed: 0.096 s
% 7.32/1.67 % (3250474)Peak memory usage: 15 MB
% 7.32/1.67 % (3250474)Instructions burned: 165 (million)
% 7.32/1.67 % (3250484)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=4093218173:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.32/1.67 % (3250487)ott-21_1_sil=16000:fs=off:random_seed=3174481771:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.32/1.67 % TRYING [3]
% 7.32/1.67 % (3250483)Instruction limit reached!
% 7.32/1.67 % (3250483)------------------------------
% 7.32/1.67 % (3250483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.32/1.67 % (3250483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250483)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250483)Termination reason: Instruction limit
% 21.17/3.45 % (3250483)Termination phase: Saturation
% 21.17/3.45 % (3250483)Time elapsed: 0.081 s
% 21.17/3.45 % (3250483)Peak memory usage: 14 MB
% 21.17/3.45 % (3250483)Instructions burned: 131 (million)
% 21.17/3.45 % (3250490)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1631422799:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.17/3.45 % (3250487)Instruction limit reached!
% 21.17/3.45 % (3250487)------------------------------
% 21.17/3.45 % (3250487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250487)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250487)Termination reason: Instruction limit
% 21.17/3.45 % (3250487)Termination phase: Saturation
% 21.17/3.45 % (3250487)Time elapsed: 0.096 s
% 21.17/3.45 % (3250487)Peak memory usage: 13 MB
% 21.17/3.45 % (3250487)Instructions burned: 181 (million)
% 21.17/3.45 % (3250492)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1129049235:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.17/3.45 % TRYING [1]
% 21.17/3.45 % TRYING [2]
% 21.17/3.45 % TRYING [3]
% 21.17/3.45 % (3250482)Instruction limit reached!
% 21.17/3.45 % (3250482)------------------------------
% 21.17/3.45 % (3250482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250482)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250482)Termination reason: Instruction limit
% 21.17/3.45 % (3250482)Termination phase: Finite model building constraint generation
% 21.17/3.45 % (3250482)Time elapsed: 0.251 s
% 21.17/3.45 % (3250482)Peak memory usage: 24 MB
% 21.17/3.45 % (3250482)Instructions burned: 717 (million)
% 21.17/3.45 % (3250494)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1784845363:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 21.17/3.45 % (3250490)Instruction limit reached!
% 21.17/3.45 % (3250490)------------------------------
% 21.17/3.45 % (3250490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250490)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250490)Termination reason: Instruction limit
% 21.17/3.45 % (3250490)Termination phase: Saturation
% 21.17/3.45 % (3250490)Time elapsed: 0.270 s
% 21.17/3.45 % (3250490)Peak memory usage: 14 MB
% 21.17/3.45 % (3250490)Instructions burned: 478 (million)
% 21.17/3.45 % (3250496)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4076537127:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 21.17/3.45 % (3250496)Cannot represent all propositional literals internally
% 21.17/3.45 % (3250496)Refutation not found, incomplete strategy
% 21.17/3.45 % (3250496)------------------------------
% 21.17/3.45 % (3250496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250496)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250496)Termination reason: Refutation not found, incomplete strategy
% 21.17/3.45 % (3250496)Time elapsed: 0.006 s
% 21.17/3.45 % (3250496)Peak memory usage: 10 MB
% 21.17/3.45 % (3250496)Instructions burned: 13 (million)
% 21.17/3.45 % (3250496)------------------------------
% 21.17/3.45 % (3250496)------------------------------
% 21.17/3.45 % (3250484)Instruction limit reached!
% 21.17/3.45 % (3250484)------------------------------
% 21.17/3.45 % (3250484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250484)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250484)Termination reason: Instruction limit
% 21.17/3.45 % (3250484)Termination phase: Saturation
% 21.17/3.45 % (3250484)Time elapsed: 0.399 s
% 21.17/3.45 % (3250484)Peak memory usage: 21 MB
% 21.17/3.45 % (3250484)Instructions burned: 684 (million)
% 21.17/3.45 % (3250498)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=2966153591: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)
% 21.17/3.45 % (3250499)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=304759014:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 21.17/3.45 % (3250492)Instruction limit reached!
% 21.17/3.45 % (3250492)------------------------------
% 21.17/3.45 % (3250492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250492)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250492)Termination reason: Instruction limit
% 21.17/3.45 % (3250492)Termination phase: Finite model building constraint generation
% 21.17/3.45 % (3250492)Time elapsed: 0.318 s
% 21.17/3.45 % (3250492)Peak memory usage: 50 MB
% 21.17/3.45 % (3250492)Instructions burned: 865 (million)
% 21.17/3.45 % (3250502)fmb+10_1_sil=64000:random_seed=6518192:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 21.17/3.45 % TRYING [1]
% 21.17/3.45 % TRYING [2]
% 21.17/3.45 % TRYING [3]
% 21.17/3.45 % (3250498)Instruction limit reached!
% 21.17/3.45 % (3250498)------------------------------
% 21.17/3.45 % (3250498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250498)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250498)Termination reason: Instruction limit
% 21.17/3.45 % (3250498)Termination phase: Saturation
% 21.17/3.45 % (3250498)Time elapsed: 0.363 s
% 21.17/3.45 % (3250498)Peak memory usage: 22 MB
% 21.17/3.45 % (3250498)Instructions burned: 693 (million)
% 21.17/3.45 % (3250504)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=380047374:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 21.17/3.45 % (3250504)Cannot represent all propositional literals internally
% 21.17/3.45 % (3250504)Refutation not found, incomplete strategy
% 21.17/3.45 % (3250504)------------------------------
% 21.17/3.45 % (3250504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250504)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250504)Termination reason: Refutation not found, incomplete strategy
% 21.17/3.45 % (3250504)Time elapsed: 0.006 s
% 21.17/3.45 % (3250504)Peak memory usage: 10 MB
% 21.17/3.45 % (3250504)Instructions burned: 13 (million)
% 21.17/3.45 % (3250504)------------------------------
% 21.17/3.45 % (3250504)------------------------------
% 21.17/3.45 % (3250506)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1249872598:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 21.17/3.45 % TRYING [8]
% 21.17/3.45 % (3250499)Instruction limit reached!
% 21.17/3.45 % (3250499)------------------------------
% 21.17/3.45 % (3250499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250499)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250499)Termination reason: Instruction limit
% 21.17/3.45 % (3250499)Termination phase: Saturation
% 21.17/3.45 % (3250499)Time elapsed: 0.467 s
% 21.17/3.45 % (3250499)Peak memory usage: 18 MB
% 21.17/3.45 % (3250499)Instructions burned: 880 (million)
% 21.17/3.45 % (3250508)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2432695922:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 21.17/3.45 % (3250494)Instruction limit reached!
% 21.17/3.45 % (3250494)------------------------------
% 21.17/3.45 % (3250494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250494)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250494)Termination reason: Instruction limit
% 21.17/3.45 % (3250494)Termination phase: Saturation
% 21.17/3.45 % (3250494)Time elapsed: 0.707 s
% 21.17/3.45 % (3250494)Peak memory usage: 25 MB
% 21.17/3.45 % (3250494)Instructions burned: 1180 (million)
% 21.17/3.45 % (3250510)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1000637098:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 21.17/3.45 % (3250506)Instruction limit reached!
% 21.17/3.45 % (3250506)------------------------------
% 21.17/3.45 % (3250506)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250506)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250506)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250506)Termination reason: Instruction limit
% 21.17/3.45 % (3250506)Termination phase: Finite model building constraint generation
% 21.17/3.45 % (3250506)Time elapsed: 0.285 s
% 21.17/3.45 % (3250506)Peak memory usage: 46 MB
% 21.17/3.45 % (3250506)Instructions burned: 923 (million)
% 21.17/3.45 % (3250512)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1535970007:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 21.17/3.45 % (3250512)Cannot represent all propositional literals internally
% 21.17/3.45 % (3250512)Refutation not found, incomplete strategy
% 21.17/3.45 % (3250512)------------------------------
% 21.17/3.45 % (3250512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250512)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250512)Termination reason: Refutation not found, incomplete strategy
% 21.17/3.45 % (3250512)Time elapsed: 0.008 s
% 21.17/3.45 % (3250512)Peak memory usage: 11 MB
% 21.17/3.45 % (3250512)Instructions burned: 16 (million)
% 21.17/3.45 % (3250512)------------------------------
% 21.17/3.45 % (3250512)------------------------------
% 21.17/3.45 % (3250514)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4224013131:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 21.17/3.45 % (3250514)Cannot represent all propositional literals internally
% 21.17/3.45 % (3250514)Refutation not found, incomplete strategy
% 21.17/3.45 % (3250514)------------------------------
% 21.17/3.45 % (3250514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250514)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250514)Termination reason: Refutation not found, incomplete strategy
% 21.17/3.45 % (3250514)Time elapsed: 0.083 s
% 21.17/3.45 % (3250514)Peak memory usage: 12 MB
% 21.17/3.45 % (3250514)Instructions burned: 167 (million)
% 21.17/3.45 % (3250514)------------------------------
% 21.17/3.45 % (3250514)------------------------------
% 21.17/3.45 % (3250516)ott-2_1_sil=16000:newcnf=on:random_seed=3737425307:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 21.17/3.45 % (3250516)Instruction limit reached!
% 21.17/3.45 % (3250516)------------------------------
% 21.17/3.45 % (3250516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250516)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250516)Termination reason: Instruction limit
% 21.17/3.45 % (3250516)Termination phase: Saturation
% 21.17/3.45 % (3250516)Time elapsed: 0.569 s
% 21.17/3.45 % (3250516)Peak memory usage: 17 MB
% 21.17/3.45 % (3250516)Instructions burned: 870 (million)
% 21.17/3.45 % (3250518)ott+10_1_sil=32000:tgt=ground:random_seed=3373143715:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 21.17/3.45 % (3250510)Instruction limit reached!
% 21.17/3.45 % (3250510)------------------------------
% 21.17/3.45 % (3250510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250510)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250510)Termination reason: Instruction limit
% 21.17/3.45 % (3250510)Termination phase: Saturation
% 21.17/3.45 % (3250510)Time elapsed: 0.913 s
% 21.17/3.45 % (3250510)Peak memory usage: 30 MB
% 21.17/3.45 % (3250510)Instructions burned: 1472 (million)
% 21.17/3.45 % (3250520)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=913214133:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 21.17/3.45 % TRYING [1]
% 21.17/3.45 % TRYING [2]
% 21.17/3.45 % TRYING [3]
% 21.17/3.45 % (3250518) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3250463-3250518"...
% 21.17/3.45 % (3250518)...printing done.
% 21.17/3.45 % (3250518)Refutation found. Thanks to Tanya!
% 21.17/3.45 % SZS status Theorem for theBenchmark
% 21.17/3.45 % SZS output start Proof for theBenchmark
% See solution above
% 21.17/3.45 % (3250518)------------------------------
% 21.17/3.45 % (3250518)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.17/3.45 % (3250518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.17/3.45 % (3250518)CaDiCaL version: 2.1.3
% 21.17/3.45 % (3250518)Termination reason: Refutation
% 21.17/3.45 % (3250518)Time elapsed: 1.009 s
% 21.17/3.45 % (3250518)Peak memory usage: 30 MB
% 21.17/3.45 % (3250518)Instructions burned: 1621 (million)
% 21.17/3.45 % (3250463)Success in time 3.046 s
% 21.17/3.45 % Vampire exiting
%------------------------------------------------------------------------------