%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO541+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 : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:41 AM UTC 2026
% Result : Theorem 6.60s 3.07s
% Output : Refutation 6.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 119 ( 17 unt; 0 def)
% Number of atoms : 315 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 329 ( 133 ~; 131 |; 42 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 523 ( 509 !; 14 ?)
% 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(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/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] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) )
=> perp(X5,X6,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) )
=> perp(X5,X6,X3,X4) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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] :
( ~ perp(X5,X6,X3,X4)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X5,X6,X3,X4)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X1,X0,X2)
& coll(X4,X0,X2)
& midp(X5,X2,X1)
& midp(X6,X3,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK26,sK23,sK24)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& perp(sK24,sK21,sK20,sK22)
& coll(sK24,sK20,sK22)
& midp(sK25,sK22,sK21)
& midp(sK26,sK23,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[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(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(f387,plain,
perp(sK24,sK21,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ perp(sK25,sK26,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f419,plain,
perp(sK20,sK22,sK24,sK21),
inference(resolution,[],[f278,f387]) ).
fof(f540,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK24,sK21) ),
inference(resolution,[],[f279,f419]) ).
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(f608,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
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(f645,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(f1391,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f607,f309]) ).
fof(f1423,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f608,f291]) ).
fof(f1568,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f621,f313]) ).
fof(f1569,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f621,f312]) ).
fof(f1579,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1568,f1569]) ).
fof(f1892,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,[],[f645,f346]) ).
fof(f5117,plain,
para(sK24,sK21,sK24,sK21),
inference(resolution,[],[f540,f387]) ).
fof(f7812,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1391,f5117]) ).
fof(f7814,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f7812,f337]) ).
fof(f7819,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f7812,f335]) ).
fof(f7840,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f7819,f7812]) ).
fof(f7845,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f7814,f272]) ).
fof(f7988,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f7845,f271]) ).
fof(f8118,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1579,f7812]) ).
fof(f8133,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f7988,f273]) ).
fof(f8168,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f8133,f7988]) ).
fof(f10649,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f8118,f287]) ).
fof(f10678,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f10649,f8118]) ).
fof(f10840,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(resolution,[],[f1423,f314]) ).
fof(f10853,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f10840]) ).
fof(f10854,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f10853,f10678]) ).
fof(f10864,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f10854,f10678]) ).
fof(f10867,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f10864,f10678]) ).
fof(f10870,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f10867,f338]) ).
fof(f10901,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f10870,f8168]) ).
fof(f13949,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f7840,f10901]) ).
fof(f17778,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f1892,f10867]) ).
fof(f17841,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f17778,f13949]) ).
fof(f17844,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f17841,f13949]) ).
fof(f19553,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f17844,f327]) ).
fof(f19578,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f19553,f17844]) ).
fof(f20317,plain,
$false,
inference(resolution,[],[f19578,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO541+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 08:28:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 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
% 8.77/1.71 % (2686029)Will run a generic schedule for satisfiability detection.
% 8.77/1.71 % (2686036)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2033555466:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.77/1.71 % (2686035)% WARNING: option uhcvi not known.
% 8.77/1.71 % (2686034)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=90671858_2999 on theBenchmark for (2999ds/0Mi)
% 8.77/1.71 % (2686037)dis+10_1_sil=32000:sp=arity:random_seed=2099691194:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.77/1.71 % (2686038)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4027968046:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.77/1.71 % (2686039)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3737588186:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.77/1.71 % (2686040)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1405785372:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.77/1.71 % (2686035)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3380260921:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.77/1.71 % TRYING [1]
% 8.77/1.71 % TRYING [2]
% 8.77/1.71 % TRYING [3]
% 8.77/1.71 % (2686037)Instruction limit reached!
% 8.77/1.71 % (2686037)------------------------------
% 8.77/1.71 % (2686037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.71 % (2686037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.71 % (2686037)CaDiCaL version: 2.1.3
% 8.77/1.71 % (2686037)Termination reason: Instruction limit
% 8.77/1.71 % (2686037)Termination phase: Saturation
% 8.77/1.71 % (2686037)Time elapsed: 0.067 s
% 8.77/1.71 % (2686037)Peak memory usage: 13 MB
% 8.77/1.71 % (2686037)Instructions burned: 103 (million)
% 8.77/1.71 % (2686038)Instruction limit reached!
% 8.77/1.71 % (2686038)------------------------------
% 8.77/1.71 % (2686038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.71 % (2686038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.71 % (2686038)CaDiCaL version: 2.1.3
% 8.77/1.71 % (2686038)Termination reason: Instruction limit
% 8.77/1.71 % (2686038)Termination phase: Saturation
% 8.77/1.71 % (2686038)Time elapsed: 0.069 s
% 8.77/1.71 % (2686038)Peak memory usage: 13 MB
% 8.77/1.71 % (2686038)Instructions burned: 116 (million)
% 8.77/1.71 % (2686039)Instruction limit reached!
% 8.77/1.71 % (2686039)------------------------------
% 8.77/1.71 % (2686039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.71 % (2686039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.71 % (2686039)CaDiCaL version: 2.1.3
% 8.77/1.71 % (2686039)Termination reason: Instruction limit
% 8.77/1.71 % (2686039)Termination phase: Saturation
% 8.77/1.71 % (2686039)Time elapsed: 0.082 s
% 8.77/1.71 % (2686039)Peak memory usage: 14 MB
% 8.77/1.71 % (2686039)Instructions burned: 131 (million)
% 8.77/1.71 % (2686048)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=854098949:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.77/1.71 % (2686049)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=55809809:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.77/1.71 % TRYING [1]
% 8.77/1.71 % TRYING [2]
% 8.77/1.71 % (2686050)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=3757974981:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.77/1.71 % (2686040)Instruction limit reached!
% 8.77/1.71 % (2686040)------------------------------
% 8.77/1.71 % (2686040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.71 % (2686040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/1.71 % (2686040)CaDiCaL version: 2.1.3
% 8.77/1.71 % (2686040)Termination reason: Instruction limit
% 8.77/1.71 % (2686040)Termination phase: Saturation
% 8.77/1.71 % (2686040)Time elapsed: 0.104 s
% 8.77/1.71 % (2686040)Peak memory usage: 15 MB
% 8.77/1.71 % (2686040)Instructions burned: 159 (million)
% 8.77/1.71 % (2686054)ott-21_1_sil=16000:fs=off:random_seed=4034782274:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.77/1.71 % TRYING [3]
% 8.77/1.71 % (2686049)Instruction limit reached!
% 8.77/1.71 % (2686049)------------------------------
% 8.77/1.71 % (2686049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.77/1.71 % (2686049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686049)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686049)Termination reason: Instruction limit
% 6.60/3.07 % (2686049)Termination phase: Saturation
% 6.60/3.07 % (2686049)Time elapsed: 0.080 s
% 6.60/3.07 % (2686049)Peak memory usage: 14 MB
% 6.60/3.07 % (2686049)Instructions burned: 131 (million)
% 6.60/3.07 % (2686056)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1888314468:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.60/3.07 % (2686054)Instruction limit reached!
% 6.60/3.07 % (2686054)------------------------------
% 6.60/3.07 % (2686054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686054)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686054)Termination reason: Instruction limit
% 6.60/3.07 % (2686054)Termination phase: Saturation
% 6.60/3.07 % (2686054)Time elapsed: 0.095 s
% 6.60/3.07 % (2686054)Peak memory usage: 13 MB
% 6.60/3.07 % (2686054)Instructions burned: 182 (million)
% 6.60/3.07 % (2686058)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1125322162:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.60/3.07 % TRYING [1]
% 6.60/3.07 % TRYING [2]
% 6.60/3.07 % TRYING [3]
% 6.60/3.07 % (2686048)Instruction limit reached!
% 6.60/3.07 % (2686048)------------------------------
% 6.60/3.07 % (2686048)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686048)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686048)Termination reason: Instruction limit
% 6.60/3.07 % (2686048)Termination phase: Finite model building constraint generation
% 6.60/3.07 % (2686048)Time elapsed: 0.248 s
% 6.60/3.07 % (2686048)Peak memory usage: 25 MB
% 6.60/3.07 % (2686048)Instructions burned: 715 (million)
% 6.60/3.07 % (2686060)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3831526557:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.60/3.07 % (2686056)Instruction limit reached!
% 6.60/3.07 % (2686056)------------------------------
% 6.60/3.07 % (2686056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686056)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686056)Termination reason: Instruction limit
% 6.60/3.07 % (2686056)Termination phase: Saturation
% 6.60/3.07 % (2686056)Time elapsed: 0.303 s
% 6.60/3.07 % (2686056)Peak memory usage: 15 MB
% 6.60/3.07 % (2686056)Instructions burned: 478 (million)
% 6.60/3.07 % (2686050)Instruction limit reached!
% 6.60/3.07 % (2686050)------------------------------
% 6.60/3.07 % (2686050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686050)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686050)Termination reason: Instruction limit
% 6.60/3.07 % (2686050)Termination phase: Saturation
% 6.60/3.07 % (2686050)Time elapsed: 0.405 s
% 6.60/3.07 % (2686050)Peak memory usage: 18 MB
% 6.60/3.07 % (2686050)Instructions burned: 684 (million)
% 6.60/3.07 % (2686062)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2227677615:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.60/3.07 % (2686062)Cannot represent all propositional literals internally
% 6.60/3.07 % (2686062)Refutation not found, incomplete strategy
% 6.60/3.07 % (2686062)------------------------------
% 6.60/3.07 % (2686062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686062)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686062)Termination reason: Refutation not found, incomplete strategy
% 6.60/3.07 % (2686062)Time elapsed: 0.006 s
% 6.60/3.07 % (2686062)Peak memory usage: 11 MB
% 6.60/3.07 % (2686062)Instructions burned: 12 (million)
% 6.60/3.07 % (2686062)------------------------------
% 6.60/3.07 % (2686062)------------------------------
% 6.60/3.07 % (2686063)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=2273280075: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)
% 6.60/3.07 % (2686058)Instruction limit reached!
% 6.60/3.07 % (2686058)------------------------------
% 6.60/3.07 % (2686058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686058)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686058)Termination reason: Instruction limit
% 6.60/3.07 % (2686058)Termination phase: Finite model building constraint generation
% 6.60/3.07 % (2686058)Time elapsed: 0.300 s
% 6.60/3.07 % (2686058)Peak memory usage: 51 MB
% 6.60/3.07 % (2686058)Instructions burned: 866 (million)
% 6.60/3.07 % (2686065)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1550118772:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.60/3.07 % (2686068)fmb+10_1_sil=64000:random_seed=2436452274:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.60/3.07 % TRYING [1]
% 6.60/3.07 % TRYING [2]
% 6.60/3.07 % TRYING [3]
% 6.60/3.07 % (2686063)Instruction limit reached!
% 6.60/3.07 % (2686063)------------------------------
% 6.60/3.07 % (2686063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686063)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686063)Termination reason: Instruction limit
% 6.60/3.07 % (2686063)Termination phase: Saturation
% 6.60/3.07 % (2686063)Time elapsed: 0.391 s
% 6.60/3.07 % (2686063)Peak memory usage: 23 MB
% 6.60/3.07 % (2686063)Instructions burned: 693 (million)
% 6.60/3.07 % (2686070)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4286660780:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.60/3.07 % (2686070)Cannot represent all propositional literals internally
% 6.60/3.07 % (2686070)Refutation not found, incomplete strategy
% 6.60/3.07 % (2686070)------------------------------
% 6.60/3.07 % (2686070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686070)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686070)Termination reason: Refutation not found, incomplete strategy
% 6.60/3.07 % (2686070)Time elapsed: 0.006 s
% 6.60/3.07 % (2686070)Peak memory usage: 11 MB
% 6.60/3.07 % (2686070)Instructions burned: 12 (million)
% 6.60/3.07 % (2686070)------------------------------
% 6.60/3.07 % (2686070)------------------------------
% 6.60/3.07 % (2686072)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3971405335:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 6.60/3.07 % TRYING [8]
% 6.60/3.07 % (2686065)Instruction limit reached!
% 6.60/3.07 % (2686065)------------------------------
% 6.60/3.07 % (2686065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686065)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686065)Termination reason: Instruction limit
% 6.60/3.07 % (2686065)Termination phase: Saturation
% 6.60/3.07 % (2686065)Time elapsed: 0.480 s
% 6.60/3.07 % (2686065)Peak memory usage: 17 MB
% 6.60/3.07 % (2686065)Instructions burned: 879 (million)
% 6.60/3.07 % (2686074)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3824553849:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.60/3.07 % (2686060)Instruction limit reached!
% 6.60/3.07 % (2686060)------------------------------
% 6.60/3.07 % (2686060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686060)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686060)Termination reason: Instruction limit
% 6.60/3.07 % (2686060)Termination phase: Saturation
% 6.60/3.07 % (2686060)Time elapsed: 0.711 s
% 6.60/3.07 % (2686060)Peak memory usage: 24 MB
% 6.60/3.07 % (2686060)Instructions burned: 1179 (million)
% 6.60/3.07 % (2686076)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1002833724:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 6.60/3.07 % (2686072)Instruction limit reached!
% 6.60/3.07 % (2686072)------------------------------
% 6.60/3.07 % (2686072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686072)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686072)Termination reason: Instruction limit
% 6.60/3.07 % (2686072)Termination phase: Finite model building constraint generation
% 6.60/3.07 % (2686072)Time elapsed: 0.285 s
% 6.60/3.07 % (2686072)Peak memory usage: 45 MB
% 6.60/3.07 % (2686072)Instructions burned: 922 (million)
% 6.60/3.07 % (2686078)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1570687884:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 6.60/3.07 % (2686078)Cannot represent all propositional literals internally
% 6.60/3.07 % (2686078)Refutation not found, incomplete strategy
% 6.60/3.07 % (2686078)------------------------------
% 6.60/3.07 % (2686078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686078)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686078)Termination reason: Refutation not found, incomplete strategy
% 6.60/3.07 % (2686078)Time elapsed: 0.008 s
% 6.60/3.07 % (2686078)Peak memory usage: 11 MB
% 6.60/3.07 % (2686078)Instructions burned: 15 (million)
% 6.60/3.07 % (2686078)------------------------------
% 6.60/3.07 % (2686078)------------------------------
% 6.60/3.07 % (2686080)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2856045786:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 6.60/3.07 % (2686080)Cannot represent all propositional literals internally
% 6.60/3.07 % (2686080)Refutation not found, incomplete strategy
% 6.60/3.07 % (2686080)------------------------------
% 6.60/3.07 % (2686080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686080)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686080)Termination reason: Refutation not found, incomplete strategy
% 6.60/3.07 % (2686080)Time elapsed: 0.082 s
% 6.60/3.07 % (2686080)Peak memory usage: 13 MB
% 6.60/3.07 % (2686080)Instructions burned: 166 (million)
% 6.60/3.07 % (2686080)------------------------------
% 6.60/3.07 % (2686080)------------------------------
% 6.60/3.07 % (2686082)ott-2_1_sil=16000:newcnf=on:random_seed=1169317754:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 6.60/3.07 % (2686082)Instruction limit reached!
% 6.60/3.07 % (2686082)------------------------------
% 6.60/3.07 % (2686082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686082)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686082)Termination reason: Instruction limit
% 6.60/3.07 % (2686082)Termination phase: Saturation
% 6.60/3.07 % (2686082)Time elapsed: 0.558 s
% 6.60/3.07 % (2686082)Peak memory usage: 18 MB
% 6.60/3.07 % (2686082)Instructions burned: 870 (million)
% 6.60/3.07 % (2686084)ott+10_1_sil=32000:tgt=ground:random_seed=3089233470:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 6.60/3.07 % (2686076)Instruction limit reached!
% 6.60/3.07 % (2686076)------------------------------
% 6.60/3.07 % (2686076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.07 % (2686076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.07 % (2686076)CaDiCaL version: 2.1.3
% 6.60/3.07 % (2686076)Termination reason: Instruction limit
% 6.60/3.07 % (2686076)Termination phase: Saturation
% 6.60/3.07 % (2686076)Time elapsed: 1.017 s
% 6.60/3.07 % (2686076)Peak memory usage: 35 MB
% 6.60/3.07 % (2686076)Instructions burned: 1472 (million)
% 6.60/3.07 % (2686086)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=249616512:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 6.60/3.07 % TRYING [1]
% 6.60/3.07 % TRYING [2]
% 6.60/3.07 % TRYING [3]
% 6.60/3.07 % (2686084) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2686029-2686084"...
% 6.60/3.07 % (2686084)...printing done.
% 6.60/3.07 % (2686084)Refutation found. Thanks to Tanya!
% 6.60/3.07 % SZS status Theorem for theBenchmark
% 6.60/3.07 % SZS output start Proof for theBenchmark
% See solution above
% 6.60/3.08 % (2686084)------------------------------
% 6.60/3.08 % (2686084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.60/3.08 % (2686084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/3.08 % (2686084)CaDiCaL version: 2.1.3
% 6.60/3.08 % (2686084)Termination reason: Refutation
% 6.60/3.08 % (2686084)Time elapsed: 0.602 s
% 6.60/3.08 % (2686084)Peak memory usage: 22 MB
% 6.60/3.08 % (2686084)Instructions burned: 934 (million)
% 6.60/3.08 % (2686029)Success in time 2.678 s
% 6.60/3.08 % Vampire exiting
%------------------------------------------------------------------------------