%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO614+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 09:54:52 AM UTC 2026
% Result : Theorem 21.59s 3.58s
% Output : Refutation 21.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 21
% Syntax : Number of formulae : 111 ( 16 unt; 0 def)
% Number of atoms : 311 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 324 ( 124 ~; 122 |; 56 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 495 ( 475 !; 20 ?)
% 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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618076) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) )
=> perp(X5,X6,X6,X8) ),
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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ perp(X5,X6,X6,X8)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& coll(X5,X3,X4)
& circle(X3,X0,X5,X9)
& perp(X6,X5,X0,X1)
& coll(X6,X0,X1)
& perp(X7,X0,X3,X4)
& coll(X7,X3,X4)
& circle(X8,X6,X4,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK26,sK26,sK28)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& coll(sK25,sK23,sK24)
& circle(sK23,sK20,sK25,sK29)
& perp(sK26,sK25,sK20,sK21)
& coll(sK26,sK20,sK21)
& perp(sK27,sK20,sK23,sK24)
& coll(sK27,sK23,sK24)
& circle(sK28,sK26,sK24,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(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(f386,plain,
perp(sK27,sK20,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ perp(sK25,sK26,sK26,sK28),
inference(cnf_transformation,[],[f270]) ).
fof(f420,plain,
perp(sK23,sK24,sK27,sK20),
inference(resolution,[],[f278,f386]) ).
fof(f535,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK24)
| para(X0,X1,sK27,sK20) ),
inference(resolution,[],[f279,f420]) ).
fof(f607,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(f621,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(f643,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(f1048,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(f1054,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,[],[f1048]) ).
fof(f1583,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f607,f309]) ).
fof(f1761,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f621,f313]) ).
fof(f1762,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f621,f312]) ).
fof(f1772,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1761,f1762]) ).
fof(f2091,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,[],[f643,f346]) ).
fof(f5140,plain,
para(sK27,sK20,sK27,sK20),
inference(resolution,[],[f535,f386]) ).
fof(f10252,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1583,f5140]) ).
fof(f10398,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10252,f337]) ).
fof(f10399,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f10252,f1772]) ).
fof(f10404,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10252,f335]) ).
fof(f10429,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10404,f10252]) ).
fof(f10431,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10398,f272]) ).
fof(f10575,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10431,f271]) ).
fof(f10714,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10575,f273]) ).
fof(f10749,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10714,f10575]) ).
fof(f13955,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f10399,f1054]) ).
fof(f13969,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f13955]) ).
fof(f13973,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f13969,f10399]) ).
fof(f16369,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f13973,f338]) ).
fof(f16401,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16369,f10749]) ).
fof(f18368,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10429,f16401]) ).
fof(f20864,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1)
| ~ midp(X2,X1,X1) ),
inference(resolution,[],[f2091,f13973]) ).
fof(f20958,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f20864,f18368]) ).
fof(f20971,plain,
! [X2,X0,X1] : cong(X2,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f20958,f18368]) ).
fof(f22837,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f20971,f327]) ).
fof(f22889,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f22837,f20971]) ).
fof(f27466,plain,
$false,
inference(resolution,[],[f22889,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO614+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % 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 08:38:36 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
% 8.64/1.81 % (3204384)Will run a generic schedule for satisfiability detection.
% 8.64/1.81 % (3204403)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=117330770:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.64/1.81 % (3204400)% WARNING: option uhcvi not known.
% 8.64/1.81 % (3204401)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=352811951:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.64/1.81 % (3204399)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3235478024_2999 on theBenchmark for (2999ds/0Mi)
% 8.64/1.81 % (3204400)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2694238367:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.64/1.81 % (3204404)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2438623632:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.64/1.81 % (3204405)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3913619086:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.64/1.81 % (3204402)dis+10_1_sil=32000:sp=arity:random_seed=1052862827:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.64/1.81 % TRYING [1]
% 8.64/1.81 % TRYING [2]
% 8.64/1.81 % (3204403)Instruction limit reached!
% 8.64/1.81 % (3204403)------------------------------
% 8.64/1.81 % (3204403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.81 % (3204403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.81 % (3204403)CaDiCaL version: 2.1.3
% 8.64/1.81 % (3204403)Termination reason: Instruction limit
% 8.64/1.81 % (3204403)Termination phase: Saturation
% 8.64/1.81 % (3204403)Time elapsed: 0.037 s
% 8.64/1.81 % (3204403)Peak memory usage: 13 MB
% 8.64/1.81 % (3204403)Instructions burned: 116 (million)
% 8.64/1.81 % TRYING [3]
% 8.64/1.81 % (3204421)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=48292834:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.64/1.81 % TRYING [1]
% 8.64/1.81 % TRYING [2]
% 8.64/1.81 % TRYING [3]
% 8.64/1.81 % (3204402)Instruction limit reached!
% 8.64/1.81 % (3204402)------------------------------
% 8.64/1.81 % (3204402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.81 % (3204402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.81 % (3204402)CaDiCaL version: 2.1.3
% 8.64/1.81 % (3204402)Termination reason: Instruction limit
% 8.64/1.81 % (3204402)Termination phase: Saturation
% 8.64/1.81 % (3204402)Time elapsed: 0.068 s
% 8.64/1.81 % (3204402)Peak memory usage: 12 MB
% 8.64/1.81 % (3204402)Instructions burned: 103 (million)
% 8.64/1.81 % (3204404)Instruction limit reached!
% 8.64/1.81 % (3204404)------------------------------
% 8.64/1.81 % (3204404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.81 % (3204404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.81 % (3204404)CaDiCaL version: 2.1.3
% 8.64/1.81 % (3204404)Termination reason: Instruction limit
% 8.64/1.81 % (3204404)Termination phase: Saturation
% 8.64/1.81 % (3204404)Time elapsed: 0.081 s
% 8.64/1.81 % (3204404)Peak memory usage: 14 MB
% 8.64/1.81 % (3204404)Instructions burned: 132 (million)
% 8.64/1.81 % (3204428)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1409952888:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.64/1.81 % (3204405)Instruction limit reached!
% 8.64/1.81 % (3204405)------------------------------
% 8.64/1.81 % (3204405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.81 % (3204405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.64/1.81 % (3204405)CaDiCaL version: 2.1.3
% 8.64/1.81 % (3204405)Termination reason: Instruction limit
% 8.64/1.81 % (3204405)Termination phase: Saturation
% 8.64/1.81 % (3204405)Time elapsed: 0.094 s
% 8.64/1.81 % (3204405)Peak memory usage: 14 MB
% 8.64/1.81 % (3204405)Instructions burned: 160 (million)
% 8.64/1.81 % (3204429)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=2080562263:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.64/1.81 % (3204434)ott-21_1_sil=16000:fs=off:random_seed=1799005750:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.64/1.81 % (3204421)Instruction limit reached!
% 8.64/1.81 % (3204421)------------------------------
% 8.64/1.81 % (3204421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.64/1.81 % (3204421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204421)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204421)Termination reason: Instruction limit
% 21.59/3.58 % (3204421)Termination phase: Finite model building constraint generation
% 21.59/3.58 % (3204421)Time elapsed: 0.133 s
% 21.59/3.58 % (3204421)Peak memory usage: 24 MB
% 21.59/3.58 % (3204421)Instructions burned: 719 (million)
% 21.59/3.58 % (3204428)Instruction limit reached!
% 21.59/3.58 % (3204428)------------------------------
% 21.59/3.58 % (3204428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204428)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204428)Termination reason: Instruction limit
% 21.59/3.58 % (3204428)Termination phase: Saturation
% 21.59/3.58 % (3204428)Time elapsed: 0.086 s
% 21.59/3.58 % (3204428)Peak memory usage: 14 MB
% 21.59/3.58 % (3204428)Instructions burned: 131 (million)
% 21.59/3.58 % (3204440)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1668080819:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 21.59/3.58 % (3204441)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2585596874:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 21.59/3.58 % TRYING [1]
% 21.59/3.58 % TRYING [2]
% 21.59/3.58 % (3204434)Instruction limit reached!
% 21.59/3.58 % (3204434)------------------------------
% 21.59/3.58 % (3204434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204434)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204434)Termination reason: Instruction limit
% 21.59/3.58 % (3204434)Termination phase: Saturation
% 21.59/3.58 % (3204434)Time elapsed: 0.097 s
% 21.59/3.58 % (3204434)Peak memory usage: 13 MB
% 21.59/3.58 % (3204434)Instructions burned: 180 (million)
% 21.59/3.58 % (3204444)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2088041065:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 21.59/3.58 % TRYING [3]
% 21.59/3.58 % (3204440)Instruction limit reached!
% 21.59/3.58 % (3204440)------------------------------
% 21.59/3.58 % (3204440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204440)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204440)Termination reason: Instruction limit
% 21.59/3.58 % (3204440)Termination phase: Saturation
% 21.59/3.58 % (3204440)Time elapsed: 0.170 s
% 21.59/3.58 % (3204440)Peak memory usage: 15 MB
% 21.59/3.58 % (3204440)Instructions burned: 479 (million)
% 21.59/3.58 % (3204454)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2993428222:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 21.59/3.58 % (3204454)Cannot represent all propositional literals internally
% 21.59/3.58 % (3204454)Refutation not found, incomplete strategy
% 21.59/3.58 % (3204454)------------------------------
% 21.59/3.58 % (3204454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204454)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204454)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.58 % (3204454)Time elapsed: 0.003 s
% 21.59/3.58 % (3204454)Peak memory usage: 10 MB
% 21.59/3.58 % (3204454)Instructions burned: 13 (million)
% 21.59/3.58 % (3204454)------------------------------
% 21.59/3.58 % (3204454)------------------------------
% 21.59/3.58 % (3204461)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=331421276: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)
% 21.59/3.58 % (3204429)Instruction limit reached!
% 21.59/3.58 % (3204429)------------------------------
% 21.59/3.58 % (3204429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204429)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204429)Termination reason: Instruction limit
% 21.59/3.58 % (3204429)Termination phase: Saturation
% 21.59/3.58 % (3204429)Time elapsed: 0.459 s
% 21.59/3.58 % (3204429)Peak memory usage: 19 MB
% 21.59/3.58 % (3204429)Instructions burned: 684 (million)
% 21.59/3.58 % (3204482)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2543869112:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 21.59/3.58 % (3204441)Instruction limit reached!
% 21.59/3.58 % (3204441)------------------------------
% 21.59/3.58 % (3204441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204441)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204441)Termination reason: Instruction limit
% 21.59/3.58 % (3204441)Termination phase: Finite model building constraint generation
% 21.59/3.58 % (3204441)Time elapsed: 0.433 s
% 21.59/3.58 % (3204441)Peak memory usage: 50 MB
% 21.59/3.58 % (3204441)Instructions burned: 866 (million)
% 21.59/3.58 % (3204487)fmb+10_1_sil=64000:random_seed=2631967601:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 21.59/3.58 % TRYING [1]
% 21.59/3.58 % TRYING [2]
% 21.59/3.58 % (3204461)Instruction limit reached!
% 21.59/3.58 % (3204461)------------------------------
% 21.59/3.58 % (3204461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204461)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204461)Termination reason: Instruction limit
% 21.59/3.58 % (3204461)Termination phase: Saturation
% 21.59/3.58 % (3204461)Time elapsed: 0.388 s
% 21.59/3.58 % (3204461)Peak memory usage: 19 MB
% 21.59/3.58 % (3204461)Instructions burned: 693 (million)
% 21.59/3.58 % TRYING [3]
% 21.59/3.58 % (3204493)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1013308971:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 21.59/3.58 % (3204493)Cannot represent all propositional literals internally
% 21.59/3.58 % (3204493)Refutation not found, incomplete strategy
% 21.59/3.58 % (3204493)------------------------------
% 21.59/3.58 % (3204493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204493)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204493)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.58 % (3204493)Time elapsed: 0.011 s
% 21.59/3.58 % (3204493)Peak memory usage: 11 MB
% 21.59/3.58 % (3204493)Instructions burned: 13 (million)
% 21.59/3.58 % (3204493)------------------------------
% 21.59/3.58 % (3204493)------------------------------
% 21.59/3.58 % (3204495)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3626408077:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 21.59/3.58 % TRYING [8]
% 21.59/3.58 % (3204495)Instruction limit reached!
% 21.59/3.58 % (3204495)------------------------------
% 21.59/3.58 % (3204495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204495)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204495)Termination reason: Instruction limit
% 21.59/3.58 % (3204495)Termination phase: Finite model building constraint generation
% 21.59/3.58 % (3204495)Time elapsed: 0.302 s
% 21.59/3.58 % (3204495)Peak memory usage: 45 MB
% 21.59/3.58 % (3204495)Instructions burned: 921 (million)
% 21.59/3.58 % (3204499)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2927287766:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 21.59/3.58 % (3204482)Instruction limit reached!
% 21.59/3.58 % (3204482)------------------------------
% 21.59/3.58 % (3204482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204482)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204482)Termination reason: Instruction limit
% 21.59/3.58 % (3204482)Termination phase: Saturation
% 21.59/3.58 % (3204482)Time elapsed: 0.629 s
% 21.59/3.58 % (3204482)Peak memory usage: 18 MB
% 21.59/3.58 % (3204482)Instructions burned: 880 (million)
% 21.59/3.58 % (3204503)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2981384626:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 21.59/3.58 % (3204444)Instruction limit reached!
% 21.59/3.58 % (3204444)------------------------------
% 21.59/3.58 % (3204444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204444)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204444)Termination reason: Instruction limit
% 21.59/3.58 % (3204444)Termination phase: Saturation
% 21.59/3.58 % (3204444)Time elapsed: 1.065 s
% 21.59/3.58 % (3204444)Peak memory usage: 24 MB
% 21.59/3.58 % (3204444)Instructions burned: 1180 (million)
% 21.59/3.58 % (3204510)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2928743645:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 21.59/3.58 % (3204510)Cannot represent all propositional literals internally
% 21.59/3.58 % (3204510)Refutation not found, incomplete strategy
% 21.59/3.58 % (3204510)------------------------------
% 21.59/3.58 % (3204510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204510)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204510)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.58 % (3204510)Time elapsed: 0.014 s
% 21.59/3.58 % (3204510)Peak memory usage: 11 MB
% 21.59/3.58 % (3204510)Instructions burned: 16 (million)
% 21.59/3.58 % (3204510)------------------------------
% 21.59/3.58 % (3204510)------------------------------
% 21.59/3.58 % (3204513)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1349860312:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 21.59/3.58 % (3204513)Cannot represent all propositional literals internally
% 21.59/3.58 % (3204513)Refutation not found, incomplete strategy
% 21.59/3.58 % (3204513)------------------------------
% 21.59/3.58 % (3204513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204513)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204513)Termination reason: Refutation not found, incomplete strategy
% 21.59/3.58 % (3204513)Time elapsed: 0.125 s
% 21.59/3.58 % (3204513)Peak memory usage: 12 MB
% 21.59/3.58 % (3204513)Instructions burned: 166 (million)
% 21.59/3.58 % (3204513)------------------------------
% 21.59/3.58 % (3204513)------------------------------
% 21.59/3.58 % (3204515)ott-2_1_sil=16000:newcnf=on:random_seed=2229658258:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2984 on theBenchmark for (2984ds/869Mi)
% 21.59/3.58 % (3204503)Instruction limit reached!
% 21.59/3.58 % (3204503)------------------------------
% 21.59/3.58 % (3204503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204503)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204503)Termination reason: Instruction limit
% 21.59/3.58 % (3204503)Termination phase: Saturation
% 21.59/3.58 % (3204503)Time elapsed: 0.873 s
% 21.59/3.58 % (3204503)Peak memory usage: 33 MB
% 21.59/3.58 % (3204503)Instructions burned: 1473 (million)
% 21.59/3.58 % (3204523)ott+10_1_sil=32000:tgt=ground:random_seed=4216683134:i=5114:av=off_2978 on theBenchmark for (2978ds/5114Mi)
% 21.59/3.58 % (3204515)Instruction limit reached!
% 21.59/3.58 % (3204515)------------------------------
% 21.59/3.58 % (3204515)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204515)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204515)Termination reason: Instruction limit
% 21.59/3.58 % (3204515)Termination phase: Saturation
% 21.59/3.58 % (3204515)Time elapsed: 0.728 s
% 21.59/3.58 % (3204515)Peak memory usage: 18 MB
% 21.59/3.58 % (3204515)Instructions burned: 869 (million)
% 21.59/3.58 % (3204526)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3685331282:i=54282_2976 on theBenchmark for (2976ds/54282Mi)
% 21.59/3.58 % TRYING [1]
% 21.59/3.58 % TRYING [2]
% 21.59/3.58 % TRYING [3]
% 21.59/3.58 % TRYING [4]
% 21.59/3.58 % (3204523) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3204384-3204523"...
% 21.59/3.58 % (3204523)...printing done.
% 21.59/3.58 % (3204523)Refutation found. Thanks to Tanya!
% 21.59/3.58 % SZS status Theorem for theBenchmark
% 21.59/3.58 % SZS output start Proof for theBenchmark
% See solution above
% 21.59/3.58 % (3204523)------------------------------
% 21.59/3.58 % (3204523)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 21.59/3.58 % (3204523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.59/3.58 % (3204523)CaDiCaL version: 2.1.3
% 21.59/3.58 % (3204523)Termination reason: Refutation
% 21.59/3.58 % (3204523)Time elapsed: 0.917 s
% 21.59/3.58 % (3204523)Peak memory usage: 26 MB
% 21.59/3.58 % (3204523)Instructions burned: 1383 (million)
% 21.59/3.58 % (3204384)Success in time 3.137 s
% 21.59/3.58 % Vampire exiting
%------------------------------------------------------------------------------