%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO609+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 : n004.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 09:54:51 AM UTC 2026
% Result : Theorem 28.37s 4.57s
% Output : Refutation 28.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 24
% Syntax : Number of formulae : 135 ( 23 unt; 0 def)
% Number of atoms : 344 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 349 ( 140 ~; 138 |; 46 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 553 ( 537 !; 16 ?)
% 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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) )
=> para(X5,X6,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618071) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) )
=> para(X5,X6,X0,X3) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
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(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
fof(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X0,X3)
& circle(X3,X0,X1,X2)
& para(X1,X2,X4,X0)
& circle(X3,X0,X4,X7)
& perp(X5,X4,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X4,X0,X2)
& coll(X6,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK25,sK26,sK20,sK23)
& circle(sK23,sK20,sK21,sK22)
& para(sK21,sK22,sK24,sK20)
& circle(sK23,sK20,sK24,sK27)
& perp(sK25,sK24,sK20,sK21)
& coll(sK25,sK20,sK21)
& perp(sK26,sK24,sK20,sK22)
& coll(sK26,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(f385,plain,
perp(sK26,sK24,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ para(sK25,sK26,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f416,plain,
perp(sK20,sK22,sK26,sK24),
inference(resolution,[],[f278,f385]) ).
fof(f475,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f526,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK26,sK24) ),
inference(resolution,[],[f279,f416]) ).
fof(f528,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK24)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f385]) ).
fof(f609,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(f619,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f624,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(f647,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(f1069,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(f1075,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,[],[f1069]) ).
fof(f1184,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f528,f416]) ).
fof(f1528,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f609,f309]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f619,f309]) ).
fof(f1707,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f624,f313]) ).
fof(f1708,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f624,f312]) ).
fof(f1718,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1707,f1708]) ).
fof(f2056,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,[],[f647,f346]) ).
fof(f6067,plain,
para(sK26,sK24,sK26,sK24),
inference(resolution,[],[f526,f385]) ).
fof(f11161,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1528,f6067]) ).
fof(f11163,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11161,f337]) ).
fof(f11168,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11161,f335]) ).
fof(f11192,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11168,f11161]) ).
fof(f11210,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11163,f272]) ).
fof(f11455,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11210,f271]) ).
fof(f11685,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1718,f11161]) ).
fof(f11687,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(resolution,[],[f1718,f1184]) ).
fof(f11699,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11455,f273]) ).
fof(f11742,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11699,f11455]) ).
fof(f14634,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(resolution,[],[f11687,f1075]) ).
fof(f14640,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(duplicate_literal_removal,[],[f14634]) ).
fof(f14641,plain,
cong(sK22,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f14640,f11685]) ).
fof(f16545,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f11685,f1075]) ).
fof(f16558,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f16545]) ).
fof(f16561,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16558,f11685]) ).
fof(f18853,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f16561,f338]) ).
fof(f18891,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18853,f11742]) ).
fof(f20457,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11192,f18891]) ).
fof(f23867,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK22,X0,sK22)
| ~ midp(X1,sK22,sK22) ),
inference(resolution,[],[f2056,f14641]) ).
fof(f23918,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| cong(X1,sK22,X0,sK22) ),
inference(forward_subsumption_resolution,[],[f23867,f20457]) ).
fof(f23932,plain,
! [X0,X1] : cong(X1,sK22,X0,sK22),
inference(forward_subsumption_resolution,[],[f23918,f20457]) ).
fof(f27448,plain,
! [X0,X1] : cong(X0,sK22,sK22,X1),
inference(resolution,[],[f23932,f293]) ).
fof(f28258,plain,
! [X0] : para(sK22,X0,sK22,sK22),
inference(resolution,[],[f27448,f1664]) ).
fof(f28259,plain,
! [X0] : para(sK22,sK22,sK22,X0),
inference(resolution,[],[f27448,f475]) ).
fof(f29851,plain,
! [X0,X1] :
( ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK22,sK22,X1)
| midp(X0,sK22,X1) ),
inference(resolution,[],[f28258,f335]) ).
fof(f29857,plain,
! [X0,X1] :
( ~ para(sK22,sK22,sK22,X1)
| midp(X0,sK22,X1) ),
inference(forward_subsumption_resolution,[],[f29851,f20457]) ).
fof(f29859,plain,
! [X0,X1] : midp(X0,sK22,X1),
inference(forward_subsumption_resolution,[],[f29857,f28259]) ).
fof(f29897,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK22,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f29859,f315]) ).
fof(f29929,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f29897,f29859]) ).
fof(f37070,plain,
$false,
inference(resolution,[],[f29929,f391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO609+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n004.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 08:38:07 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 8.00/1.65 % (3202527)Will run a generic schedule for satisfiability detection.
% 8.00/1.65 % (3202533)% WARNING: option uhcvi not known.
% 8.00/1.65 % (3202537)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3366709776:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.00/1.65 % (3202532)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1202236733_2999 on theBenchmark for (2999ds/0Mi)
% 8.00/1.65 % (3202536)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=437423092:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.00/1.65 % (3202534)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3047258593:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.00/1.65 % (3202533)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3213692691:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.00/1.65 % (3202535)dis+10_1_sil=32000:sp=arity:random_seed=416216939:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.00/1.65 % (3202538)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=98857906:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.00/1.66 % TRYING [1]
% 8.00/1.66 % TRYING [2]
% 8.00/1.66 % TRYING [3]
% 8.00/1.66 % (3202537)Instruction limit reached!
% 8.00/1.66 % (3202537)------------------------------
% 8.00/1.66 % (3202537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.00/1.66 % (3202537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.66 % (3202537)CaDiCaL version: 2.1.3
% 8.00/1.66 % (3202537)Termination reason: Instruction limit
% 8.00/1.66 % (3202537)Termination phase: Saturation
% 8.00/1.66 % (3202537)Time elapsed: 0.047 s
% 8.00/1.66 % (3202537)Peak memory usage: 14 MB
% 8.00/1.66 % (3202537)Instructions burned: 133 (million)
% 8.00/1.66 % (3202560)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4115867840:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.00/1.66 % TRYING [1]
% 8.00/1.66 % TRYING [2]
% 8.00/1.66 % (3202535)Instruction limit reached!
% 8.00/1.66 % (3202535)------------------------------
% 8.00/1.66 % (3202535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.00/1.66 % (3202535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.66 % (3202535)CaDiCaL version: 2.1.3
% 8.00/1.66 % (3202535)Termination reason: Instruction limit
% 8.00/1.66 % (3202535)Termination phase: Saturation
% 8.00/1.66 % (3202535)Time elapsed: 0.066 s
% 8.00/1.66 % (3202535)Peak memory usage: 12 MB
% 8.00/1.66 % (3202535)Instructions burned: 104 (million)
% 8.00/1.66 % (3202536)Instruction limit reached!
% 8.00/1.66 % (3202536)------------------------------
% 8.00/1.66 % (3202536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.00/1.66 % (3202536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.66 % (3202536)CaDiCaL version: 2.1.3
% 8.00/1.66 % (3202536)Termination reason: Instruction limit
% 8.00/1.66 % (3202536)Termination phase: Saturation
% 8.00/1.66 % (3202536)Time elapsed: 0.070 s
% 8.00/1.66 % (3202536)Peak memory usage: 13 MB
% 8.00/1.66 % (3202536)Instructions burned: 116 (million)
% 8.00/1.66 % TRYING [3]
% 8.00/1.66 % (3202568)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2611975316:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.00/1.66 % (3202570)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=4077831810:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.00/1.66 % (3202538)Instruction limit reached!
% 8.00/1.66 % (3202538)------------------------------
% 8.00/1.66 % (3202538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.00/1.66 % (3202538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.66 % (3202538)CaDiCaL version: 2.1.3
% 8.00/1.66 % (3202538)Termination reason: Instruction limit
% 8.00/1.66 % (3202538)Termination phase: Saturation
% 8.00/1.66 % (3202538)Time elapsed: 0.100 s
% 8.00/1.66 % (3202538)Peak memory usage: 13 MB
% 8.00/1.66 % (3202538)Instructions burned: 159 (million)
% 8.00/1.66 % (3202582)ott-21_1_sil=16000:fs=off:random_seed=4260132249:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.00/1.66 % (3202568)Instruction limit reached!
% 8.00/1.66 % (3202568)------------------------------
% 8.00/1.66 % (3202568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.00/1.66 % (3202568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202568)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202568)Termination reason: Instruction limit
% 28.37/4.57 % (3202568)Termination phase: Saturation
% 28.37/4.57 % (3202568)Time elapsed: 0.085 s
% 28.37/4.57 % (3202568)Peak memory usage: 15 MB
% 28.37/4.57 % (3202568)Instructions burned: 131 (million)
% 28.37/4.57 % (3202560)Instruction limit reached!
% 28.37/4.57 % (3202560)------------------------------
% 28.37/4.57 % (3202560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202560)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202560)Termination reason: Instruction limit
% 28.37/4.57 % (3202560)Termination phase: Finite model building constraint generation
% 28.37/4.57 % (3202560)Time elapsed: 0.133 s
% 28.37/4.57 % (3202560)Peak memory usage: 24 MB
% 28.37/4.57 % (3202560)Instructions burned: 714 (million)
% 28.37/4.57 % (3202602)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=571346180:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 28.37/4.57 % (3202613)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2746732130:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 28.37/4.57 % TRYING [1]
% 28.37/4.57 % TRYING [2]
% 28.37/4.57 % (3202582)Instruction limit reached!
% 28.37/4.57 % (3202582)------------------------------
% 28.37/4.57 % (3202582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202582)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202582)Termination reason: Instruction limit
% 28.37/4.57 % (3202582)Termination phase: Saturation
% 28.37/4.57 % (3202582)Time elapsed: 0.098 s
% 28.37/4.57 % (3202582)Peak memory usage: 13 MB
% 28.37/4.57 % (3202582)Instructions burned: 181 (million)
% 28.37/4.57 % (3202624)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1791134118:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 28.37/4.57 % TRYING [3]
% 28.37/4.57 % (3202613)Instruction limit reached!
% 28.37/4.57 % (3202613)------------------------------
% 28.37/4.57 % (3202613)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202613)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202613)Termination reason: Instruction limit
% 28.37/4.57 % (3202613)Termination phase: Finite model building constraint generation
% 28.37/4.57 % (3202613)Time elapsed: 0.178 s
% 28.37/4.57 % (3202613)Peak memory usage: 50 MB
% 28.37/4.57 % (3202613)Instructions burned: 866 (million)
% 28.37/4.57 % (3202655)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1097670359:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 28.37/4.57 % (3202655)Cannot represent all propositional literals internally
% 28.37/4.57 % (3202655)Refutation not found, incomplete strategy
% 28.37/4.57 % (3202655)------------------------------
% 28.37/4.57 % (3202655)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202655)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202655)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.57 % (3202655)Time elapsed: 0.004 s
% 28.37/4.57 % (3202655)Peak memory usage: 10 MB
% 28.37/4.57 % (3202655)Instructions burned: 12 (million)
% 28.37/4.57 % (3202655)------------------------------
% 28.37/4.57 % (3202655)------------------------------
% 28.37/4.57 % (3202657)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=617019479:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 28.37/4.57 % (3202602)Instruction limit reached!
% 28.37/4.57 % (3202602)------------------------------
% 28.37/4.57 % (3202602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202602)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202602)Termination reason: Instruction limit
% 28.37/4.57 % (3202602)Termination phase: Saturation
% 28.37/4.57 % (3202602)Time elapsed: 0.296 s
% 28.37/4.57 % (3202602)Peak memory usage: 14 MB
% 28.37/4.57 % (3202602)Instructions burned: 478 (million)
% 28.37/4.57 % (3202570)Instruction limit reached!
% 28.37/4.57 % (3202570)------------------------------
% 28.37/4.57 % (3202570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202570)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202570)Termination reason: Instruction limit
% 28.37/4.57 % (3202570)Termination phase: Saturation
% 28.37/4.57 % (3202570)Time elapsed: 0.401 s
% 28.37/4.57 % (3202570)Peak memory usage: 19 MB
% 28.37/4.57 % (3202570)Instructions burned: 686 (million)
% 28.37/4.57 % (3202665)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=644262366:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 28.37/4.57 % (3202666)fmb+10_1_sil=64000:random_seed=525307763:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 28.37/4.57 % TRYING [1]
% 28.37/4.57 % TRYING [2]
% 28.37/4.57 % TRYING [3]
% 28.37/4.57 % (3202657)Instruction limit reached!
% 28.37/4.57 % (3202657)------------------------------
% 28.37/4.57 % (3202657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202657)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202657)Termination reason: Instruction limit
% 28.37/4.57 % (3202657)Termination phase: Saturation
% 28.37/4.57 % (3202657)Time elapsed: 0.223 s
% 28.37/4.57 % (3202657)Peak memory usage: 20 MB
% 28.37/4.57 % (3202657)Instructions burned: 693 (million)
% 28.37/4.57 % (3202670)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2807186227:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 28.37/4.57 % (3202670)Cannot represent all propositional literals internally
% 28.37/4.57 % (3202670)Refutation not found, incomplete strategy
% 28.37/4.57 % (3202670)------------------------------
% 28.37/4.57 % (3202670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202670)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202670)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.57 % (3202670)Time elapsed: 0.003 s
% 28.37/4.57 % (3202670)Peak memory usage: 10 MB
% 28.37/4.57 % (3202670)Instructions burned: 12 (million)
% 28.37/4.57 % (3202670)------------------------------
% 28.37/4.57 % (3202670)------------------------------
% 28.37/4.57 % (3202675)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1484808736:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 28.37/4.57 % TRYING [8]
% 28.37/4.57 % (3202675)Instruction limit reached!
% 28.37/4.57 % (3202675)------------------------------
% 28.37/4.57 % (3202675)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202675)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202675)Termination reason: Instruction limit
% 28.37/4.57 % (3202675)Termination phase: Finite model building constraint generation
% 28.37/4.57 % (3202675)Time elapsed: 0.255 s
% 28.37/4.57 % (3202675)Peak memory usage: 45 MB
% 28.37/4.57 % (3202675)Instructions burned: 922 (million)
% 28.37/4.57 % (3202707)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=614442126:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 28.37/4.57 % (3202624)Instruction limit reached!
% 28.37/4.57 % (3202624)------------------------------
% 28.37/4.57 % (3202624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202624)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202624)Termination reason: Instruction limit
% 28.37/4.57 % (3202624)Termination phase: Saturation
% 28.37/4.57 % (3202624)Time elapsed: 0.863 s
% 28.37/4.57 % (3202624)Peak memory usage: 23 MB
% 28.37/4.57 % (3202624)Instructions burned: 1179 (million)
% 28.37/4.57 % (3202713)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4240706190:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 28.37/4.57 % (3202665)Instruction limit reached!
% 28.37/4.57 % (3202665)------------------------------
% 28.37/4.57 % (3202665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202665)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202665)Termination reason: Instruction limit
% 28.37/4.57 % (3202665)Termination phase: Saturation
% 28.37/4.57 % (3202665)Time elapsed: 0.650 s
% 28.37/4.57 % (3202665)Peak memory usage: 18 MB
% 28.37/4.57 % (3202665)Instructions burned: 880 (million)
% 28.37/4.57 % (3202716)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3655309554:i=6324_2988 on theBenchmark for (2988ds/6324Mi)
% 28.37/4.57 % (3202716)Cannot represent all propositional literals internally
% 28.37/4.57 % (3202716)Refutation not found, incomplete strategy
% 28.37/4.57 % (3202716)------------------------------
% 28.37/4.57 % (3202716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202716)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202716)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.57 % (3202716)Time elapsed: 0.010 s
% 28.37/4.57 % (3202716)Peak memory usage: 11 MB
% 28.37/4.57 % (3202716)Instructions burned: 15 (million)
% 28.37/4.57 % (3202716)------------------------------
% 28.37/4.57 % (3202716)------------------------------
% 28.37/4.57 % (3202718)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4123762856:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 28.37/4.57 % (3202718)Cannot represent all propositional literals internally
% 28.37/4.57 % (3202718)Refutation not found, incomplete strategy
% 28.37/4.57 % (3202718)------------------------------
% 28.37/4.57 % (3202718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202718)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202718)Termination reason: Refutation not found, incomplete strategy
% 28.37/4.57 % (3202718)Time elapsed: 0.144 s
% 28.37/4.57 % (3202718)Peak memory usage: 12 MB
% 28.37/4.57 % (3202718)Instructions burned: 166 (million)
% 28.37/4.57 % (3202718)------------------------------
% 28.37/4.57 % (3202718)------------------------------
% 28.37/4.57 % (3202721)ott-2_1_sil=16000:newcnf=on:random_seed=330405808:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 28.37/4.57 % (3202721)Instruction limit reached!
% 28.37/4.57 % (3202721)------------------------------
% 28.37/4.57 % (3202721)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202721)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202721)Termination reason: Instruction limit
% 28.37/4.57 % (3202721)Termination phase: Saturation
% 28.37/4.57 % (3202721)Time elapsed: 0.889 s
% 28.37/4.57 % (3202721)Peak memory usage: 17 MB
% 28.37/4.57 % (3202721)Instructions burned: 869 (million)
% 28.37/4.57 % (3202733)ott+10_1_sil=32000:tgt=ground:random_seed=1047178566:i=5114:av=off_2976 on theBenchmark for (2976ds/5114Mi)
% 28.37/4.57 % (3202713)Instruction limit reached!
% 28.37/4.57 % (3202713)------------------------------
% 28.37/4.57 % (3202713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202713)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202713)Termination reason: Instruction limit
% 28.37/4.57 % (3202713)Termination phase: Saturation
% 28.37/4.57 % (3202713)Time elapsed: 1.490 s
% 28.37/4.57 % (3202713)Peak memory usage: 30 MB
% 28.37/4.57 % (3202713)Instructions burned: 1472 (million)
% 28.37/4.57 % (3202742)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2301321818:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 28.37/4.57 % TRYING [1]
% 28.37/4.57 % TRYING [2]
% 28.37/4.57 % TRYING [3]
% 28.37/4.57 % (3202707)Instruction limit reached!
% 28.37/4.57 % (3202707)------------------------------
% 28.37/4.57 % (3202707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202707)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202707)Termination reason: Instruction limit
% 28.37/4.57 % (3202707)Termination phase: Saturation
% 28.37/4.57 % (3202707)Time elapsed: 2.612 s
% 28.37/4.57 % (3202707)Peak memory usage: 35 MB
% 28.37/4.57 % (3202707)Instructions burned: 5132 (million)
% 28.37/4.57 % (3202750)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=234864888:i=3512:aac=none_2964 on theBenchmark for (2964ds/3512Mi)
% 28.37/4.57 % (3202733) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3202527-3202733"...
% 28.37/4.57 % (3202733)...printing done.
% 28.37/4.57 % (3202733)Refutation found. Thanks to Tanya!
% 28.37/4.57 % SZS status Theorem for theBenchmark
% 28.37/4.57 % SZS output start Proof for theBenchmark
% See solution above
% 28.37/4.57 % (3202733)------------------------------
% 28.37/4.57 % (3202733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 28.37/4.57 % (3202733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.37/4.57 % (3202733)CaDiCaL version: 2.1.3
% 28.37/4.57 % (3202733)Termination reason: Refutation
% 28.37/4.57 % (3202733)Time elapsed: 1.707 s
% 28.37/4.57 % (3202733)Peak memory usage: 28 MB
% 28.37/4.57 % (3202733)Instructions burned: 1631 (million)
% 28.37/4.57 % (3202527)Success in time 4.132 s
% 28.37/4.57 % Vampire exiting
%------------------------------------------------------------------------------