%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO623+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 09:54:53 AM UTC 2026
% Result : Theorem 11.44s 2.63s
% Output : Refutation 11.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 23
% Syntax : Number of formulae : 121 ( 21 unt; 0 def)
% Number of atoms : 310 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 313 ( 124 ~; 120 |; 45 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 484 ( 468 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& para(X3,X4,X1,X2)
& coll(X4,X0,X2) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& para(X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110986) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) )
=> cong(X3,X6,X3,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f208]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X3,X6,X3,X7)
& midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ cong(X3,X6,X3,X7)
& midp(X3,X2,X0)
& midp(X4,X1,X2)
& midp(X5,X0,X1)
& eqangle(X6,X1,X1,X2,X6,X1,X1,X0)
& coll(X6,X3,X5)
& coll(X7,X1,X6)
& coll(X7,X3,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ cong(sK23,sK26,sK23,sK27)
& midp(sK23,sK22,sK20)
& midp(sK24,sK21,sK22)
& midp(sK25,sK20,sK21)
& eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20)
& coll(sK26,sK23,sK25)
& coll(sK27,sK21,sK26)
& coll(sK27,sK23,sK24) ),
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(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2)
| ~ coll(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f209]) ).
fof(f387,plain,
eqangle(sK26,sK21,sK21,sK22,sK26,sK21,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
! [X2,X0,X1] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f293,f339]) ).
fof(f539,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f573,plain,
eqangle(sK21,sK22,sK26,sK21,sK21,sK20,sK26,sK21),
inference(resolution,[],[f289,f387]) ).
fof(f574,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(f589,plain,
eqangle(sK26,sK21,sK26,sK21,sK21,sK22,sK21,sK20),
inference(resolution,[],[f291,f387]) ).
fof(f590,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(f1003,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(f1009,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,[],[f1003]) ).
fof(f1103,plain,
para(sK21,sK22,sK21,sK20),
inference(resolution,[],[f573,f309]) ).
fof(f1130,plain,
( para(sK26,sK21,sK26,sK21)
| ~ para(sK21,sK22,sK21,sK20) ),
inference(resolution,[],[f589,f344]) ).
fof(f1133,plain,
para(sK26,sK21,sK26,sK21),
inference(forward_subsumption_resolution,[],[f1130,f1103]) ).
fof(f1270,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X2,X3)
| ~ midp(X2,X0,X3)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f539,f429]) ).
fof(f1373,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f574,f309]) ).
fof(f1565,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f590,f313]) ).
fof(f1566,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f590,f312]) ).
fof(f1576,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1565,f1566]) ).
fof(f6317,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1373,f1133]) ).
fof(f6381,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f6317,f337]) ).
fof(f6382,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f6317,f1576]) ).
fof(f6391,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f6317,f274]) ).
fof(f6406,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f6381,f272]) ).
fof(f6459,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f6406,f271]) ).
fof(f6507,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f6459,f273]) ).
fof(f6513,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f6507,f6459]) ).
fof(f6887,plain,
( ~ midp(sK23,sK26,sK23)
| ~ midp(sK23,sK23,sK27) ),
inference(resolution,[],[f1270,f391]) ).
fof(f6932,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f6382,f285]) ).
fof(f6934,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f6382,f287]) ).
fof(f6965,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f6934,f6382]) ).
fof(f6983,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ coll(X2,X1,X0) ),
inference(resolution,[],[f6391,f316]) ).
fof(f7001,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0) ),
inference(forward_subsumption_resolution,[],[f6983,f6513]) ).
fof(f7807,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f6932,f1009]) ).
fof(f7823,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f7807,f6965]) ).
fof(f7828,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f7823,f6965]) ).
fof(f9150,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ coll(X0,X1,X1) ),
inference(resolution,[],[f7828,f338]) ).
fof(f9184,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(forward_subsumption_resolution,[],[f9150,f6381]) ).
fof(f13068,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[],[f7001,f9184]) ).
fof(f13355,plain,
! [X0,X1] : midp(X0,X1,X0),
inference(resolution,[],[f13068,f281]) ).
fof(f13656,plain,
~ midp(sK23,sK23,sK27),
inference(resolution,[],[f13355,f6887]) ).
fof(f13673,plain,
$false,
inference(forward_subsumption_resolution,[],[f13656,f13068]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO623+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n002.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:42:36 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.76/1.47 % (3238387)Will run a generic schedule for satisfiability detection.
% 6.76/1.47 % (3238396)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1051840152:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.76/1.47 % (3238393)% WARNING: option uhcvi not known.
% 6.76/1.47 % (3238392)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4010672633_2999 on theBenchmark for (2999ds/0Mi)
% 6.76/1.47 % (3238393)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2245733934:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.76/1.47 % (3238394)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=628007286:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.76/1.47 % (3238395)dis+10_1_sil=32000:sp=arity:random_seed=2131444041:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.76/1.47 % (3238398)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2214073204:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.76/1.47 % (3238397)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3987586067:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.76/1.47 % TRYING [1]
% 6.76/1.47 % TRYING [2]
% 6.76/1.47 % (3238396)Instruction limit reached!
% 6.76/1.47 % (3238396)------------------------------
% 6.76/1.47 % (3238396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.47 % (3238396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.47 % (3238396)CaDiCaL version: 2.1.3
% 6.76/1.47 % (3238396)Termination reason: Instruction limit
% 6.76/1.47 % (3238396)Termination phase: Saturation
% 6.76/1.47 % (3238396)Time elapsed: 0.039 s
% 6.76/1.47 % (3238396)Peak memory usage: 13 MB
% 6.76/1.47 % (3238396)Instructions burned: 117 (million)
% 6.76/1.47 % TRYING [3]
% 6.76/1.47 % (3238406)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=865256767:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.76/1.47 % TRYING [1]
% 6.76/1.47 % TRYING [2]
% 6.76/1.47 % (3238395)Instruction limit reached!
% 6.76/1.47 % (3238395)------------------------------
% 6.76/1.47 % (3238395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.47 % (3238395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.47 % (3238395)CaDiCaL version: 2.1.3
% 6.76/1.47 % (3238395)Termination reason: Instruction limit
% 6.76/1.47 % (3238395)Termination phase: Saturation
% 6.76/1.47 % (3238395)Time elapsed: 0.067 s
% 6.76/1.47 % (3238395)Peak memory usage: 12 MB
% 6.76/1.47 % (3238395)Instructions burned: 103 (million)
% 6.76/1.47 % TRYING [3]
% 6.76/1.47 % (3238397)Instruction limit reached!
% 6.76/1.47 % (3238397)------------------------------
% 6.76/1.47 % (3238397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.47 % (3238397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.47 % (3238397)CaDiCaL version: 2.1.3
% 6.76/1.47 % (3238397)Termination reason: Instruction limit
% 6.76/1.47 % (3238397)Termination phase: Saturation
% 6.76/1.47 % (3238397)Time elapsed: 0.080 s
% 6.76/1.47 % (3238397)Peak memory usage: 14 MB
% 6.76/1.47 % (3238397)Instructions burned: 132 (million)
% 6.76/1.47 % (3238408)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=502659634:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.76/1.47 % (3238398)Instruction limit reached!
% 6.76/1.47 % (3238398)------------------------------
% 6.76/1.47 % (3238398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.47 % (3238398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/1.47 % (3238398)CaDiCaL version: 2.1.3
% 6.76/1.47 % (3238398)Termination reason: Instruction limit
% 6.76/1.47 % (3238398)Termination phase: Saturation
% 6.76/1.47 % (3238398)Time elapsed: 0.090 s
% 6.76/1.47 % (3238398)Peak memory usage: 14 MB
% 6.76/1.47 % (3238398)Instructions burned: 159 (million)
% 6.76/1.47 % (3238409)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=1476077364:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.76/1.47 % (3238411)ott-21_1_sil=16000:fs=off:random_seed=2836910496:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.76/1.47 % (3238408)Instruction limit reached!
% 6.76/1.47 % (3238408)------------------------------
% 6.76/1.47 % (3238408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.76/1.47 % (3238408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238408)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238408)Termination reason: Instruction limit
% 11.44/2.62 % (3238408)Termination phase: Saturation
% 11.44/2.62 % (3238408)Time elapsed: 0.081 s
% 11.44/2.62 % (3238408)Peak memory usage: 14 MB
% 11.44/2.62 % (3238408)Instructions burned: 132 (million)
% 11.44/2.62 % (3238406)Instruction limit reached!
% 11.44/2.62 % (3238406)------------------------------
% 11.44/2.62 % (3238406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238406)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238406)Termination reason: Instruction limit
% 11.44/2.62 % (3238406)Termination phase: Finite model building constraint generation
% 11.44/2.62 % (3238406)Time elapsed: 0.133 s
% 11.44/2.62 % (3238406)Peak memory usage: 24 MB
% 11.44/2.62 % (3238406)Instructions burned: 717 (million)
% 11.44/2.62 % (3238415)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1915765926:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.44/2.62 % (3238414)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2836873414:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.44/2.62 % TRYING [1]
% 11.44/2.62 % TRYING [2]
% 11.44/2.62 % (3238411)Instruction limit reached!
% 11.44/2.62 % (3238411)------------------------------
% 11.44/2.62 % (3238411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238411)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238411)Termination reason: Instruction limit
% 11.44/2.62 % (3238411)Termination phase: Saturation
% 11.44/2.62 % (3238411)Time elapsed: 0.098 s
% 11.44/2.62 % (3238411)Peak memory usage: 13 MB
% 11.44/2.62 % (3238411)Instructions burned: 181 (million)
% 11.44/2.62 % TRYING [3]
% 11.44/2.62 % (3238418)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1694704497:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.44/2.62 % (3238415)Instruction limit reached!
% 11.44/2.62 % (3238415)------------------------------
% 11.44/2.62 % (3238415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238415)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238415)Termination reason: Instruction limit
% 11.44/2.62 % (3238415)Termination phase: Finite model building constraint generation
% 11.44/2.62 % (3238415)Time elapsed: 0.164 s
% 11.44/2.62 % (3238415)Peak memory usage: 51 MB
% 11.44/2.62 % (3238415)Instructions burned: 869 (million)
% 11.44/2.62 % (3238420)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4108873374:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 11.44/2.62 % (3238420)Cannot represent all propositional literals internally
% 11.44/2.62 % (3238420)Refutation not found, incomplete strategy
% 11.44/2.62 % (3238420)------------------------------
% 11.44/2.62 % (3238420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238420)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238420)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.62 % (3238420)Time elapsed: 0.003 s
% 11.44/2.62 % (3238420)Peak memory usage: 10 MB
% 11.44/2.62 % (3238420)Instructions burned: 12 (million)
% 11.44/2.62 % (3238420)------------------------------
% 11.44/2.62 % (3238420)------------------------------
% 11.44/2.62 % (3238422)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=1642169768: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)
% 11.44/2.62 % (3238414)Instruction limit reached!
% 11.44/2.62 % (3238414)------------------------------
% 11.44/2.62 % (3238414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238414)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238414)Termination reason: Instruction limit
% 11.44/2.62 % (3238414)Termination phase: Saturation
% 11.44/2.62 % (3238414)Time elapsed: 0.303 s
% 11.44/2.62 % (3238414)Peak memory usage: 15 MB
% 11.44/2.62 % (3238414)Instructions burned: 478 (million)
% 11.44/2.62 % (3238409)Instruction limit reached!
% 11.44/2.62 % (3238409)------------------------------
% 11.44/2.62 % (3238409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238409)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238409)Termination reason: Instruction limit
% 11.44/2.62 % (3238409)Termination phase: Saturation
% 11.44/2.62 % (3238409)Time elapsed: 0.406 s
% 11.44/2.62 % (3238409)Peak memory usage: 19 MB
% 11.44/2.62 % (3238409)Instructions burned: 685 (million)
% 11.44/2.62 % (3238424)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3646361009:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.44/2.62 % (3238425)fmb+10_1_sil=64000:random_seed=3176398068:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 11.44/2.62 % TRYING [1]
% 11.44/2.62 % TRYING [2]
% 11.44/2.62 % (3238422)Instruction limit reached!
% 11.44/2.62 % (3238422)------------------------------
% 11.44/2.62 % (3238422)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.62 % (3238422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.62 % (3238422)CaDiCaL version: 2.1.3
% 11.44/2.62 % (3238422)Termination reason: Instruction limit
% 11.44/2.63 % (3238422)Termination phase: Saturation
% 11.44/2.63 % (3238422)Time elapsed: 0.214 s
% 11.44/2.63 % (3238422)Peak memory usage: 19 MB
% 11.44/2.63 % (3238422)Instructions burned: 693 (million)
% 11.44/2.63 % (3238428)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2941417872:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 11.44/2.63 % (3238428)Cannot represent all propositional literals internally
% 11.44/2.63 % (3238428)Refutation not found, incomplete strategy
% 11.44/2.63 % (3238428)------------------------------
% 11.44/2.63 % (3238428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238428)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238428)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.63 % (3238428)Time elapsed: 0.003 s
% 11.44/2.63 % (3238428)Peak memory usage: 10 MB
% 11.44/2.63 % (3238428)Instructions burned: 12 (million)
% 11.44/2.63 % (3238428)------------------------------
% 11.44/2.63 % (3238428)------------------------------
% 11.44/2.63 % TRYING [3]
% 11.44/2.63 % (3238430)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=91646974:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 11.44/2.63 % TRYING [8]
% 11.44/2.63 % (3238430)Instruction limit reached!
% 11.44/2.63 % (3238430)------------------------------
% 11.44/2.63 % (3238430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238430)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238430)Termination reason: Instruction limit
% 11.44/2.63 % (3238430)Termination phase: Finite model building constraint generation
% 11.44/2.63 % (3238430)Time elapsed: 0.156 s
% 11.44/2.63 % (3238430)Peak memory usage: 45 MB
% 11.44/2.63 % (3238430)Instructions burned: 922 (million)
% 11.44/2.63 % (3238432)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3309091925:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 11.44/2.63 % (3238418)Instruction limit reached!
% 11.44/2.63 % (3238418)------------------------------
% 11.44/2.63 % (3238418)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238418)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238418)Termination reason: Instruction limit
% 11.44/2.63 % (3238418)Termination phase: Saturation
% 11.44/2.63 % (3238418)Time elapsed: 0.729 s
% 11.44/2.63 % (3238418)Peak memory usage: 25 MB
% 11.44/2.63 % (3238418)Instructions burned: 1180 (million)
% 11.44/2.63 % (3238434)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=752595494:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 11.44/2.63 % (3238424)Instruction limit reached!
% 11.44/2.63 % (3238424)------------------------------
% 11.44/2.63 % (3238424)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238424)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238424)Termination reason: Instruction limit
% 11.44/2.63 % (3238424)Termination phase: Saturation
% 11.44/2.63 % (3238424)Time elapsed: 0.481 s
% 11.44/2.63 % (3238424)Peak memory usage: 18 MB
% 11.44/2.63 % (3238424)Instructions burned: 879 (million)
% 11.44/2.63 % (3238436)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3287496208:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 11.44/2.63 % (3238436)Cannot represent all propositional literals internally
% 11.44/2.63 % (3238436)Refutation not found, incomplete strategy
% 11.44/2.63 % (3238436)------------------------------
% 11.44/2.63 % (3238436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238436)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238436)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.63 % (3238436)Time elapsed: 0.008 s
% 11.44/2.63 % (3238436)Peak memory usage: 11 MB
% 11.44/2.63 % (3238436)Instructions burned: 15 (million)
% 11.44/2.63 % (3238436)------------------------------
% 11.44/2.63 % (3238436)------------------------------
% 11.44/2.63 % (3238438)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1396920879:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 11.44/2.63 % (3238438)Cannot represent all propositional literals internally
% 11.44/2.63 % (3238438)Refutation not found, incomplete strategy
% 11.44/2.63 % (3238438)------------------------------
% 11.44/2.63 % (3238438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238438)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238438)Termination reason: Refutation not found, incomplete strategy
% 11.44/2.63 % (3238438)Time elapsed: 0.082 s
% 11.44/2.63 % (3238438)Peak memory usage: 12 MB
% 11.44/2.63 % (3238438)Instructions burned: 166 (million)
% 11.44/2.63 % (3238438)------------------------------
% 11.44/2.63 % (3238438)------------------------------
% 11.44/2.63 % (3238440)ott-2_1_sil=16000:newcnf=on:random_seed=2282168820:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 11.44/2.63 % (3238440)Instruction limit reached!
% 11.44/2.63 % (3238440)------------------------------
% 11.44/2.63 % (3238440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238440)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238440)Termination reason: Instruction limit
% 11.44/2.63 % (3238440)Termination phase: Saturation
% 11.44/2.63 % (3238440)Time elapsed: 0.541 s
% 11.44/2.63 % (3238440)Peak memory usage: 17 MB
% 11.44/2.63 % (3238440)Instructions burned: 870 (million)
% 11.44/2.63 % (3238442)ott+10_1_sil=32000:tgt=ground:random_seed=1466071858:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 11.44/2.63 % (3238434)Instruction limit reached!
% 11.44/2.63 % (3238434)------------------------------
% 11.44/2.63 % (3238434)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238434)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238434)Termination reason: Instruction limit
% 11.44/2.63 % (3238434)Termination phase: Saturation
% 11.44/2.63 % (3238434)Time elapsed: 0.958 s
% 11.44/2.63 % (3238434)Peak memory usage: 28 MB
% 11.44/2.63 % (3238434)Instructions burned: 1473 (million)
% 11.44/2.63 % (3238444)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4205831356:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 11.44/2.63 % TRYING [1]
% 11.44/2.63 % TRYING [2]
% 11.44/2.63 % TRYING [3]
% 11.44/2.63 % (3238442) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3238387-3238442"...
% 11.44/2.63 % (3238442)...printing done.
% 11.44/2.63 % (3238442)Refutation found. Thanks to Tanya!
% 11.44/2.63 % SZS status Theorem for theBenchmark
% 11.44/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 11.44/2.63 % (3238442)------------------------------
% 11.44/2.63 % (3238442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.44/2.63 % (3238442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.44/2.63 % (3238442)CaDiCaL version: 2.1.3
% 11.44/2.63 % (3238442)Termination reason: Refutation
% 11.44/2.63 % (3238442)Time elapsed: 0.420 s
% 11.44/2.63 % (3238442)Peak memory usage: 18 MB
% 11.44/2.63 % (3238442)Instructions burned: 652 (million)
% 11.44/2.63 % (3238387)Success in time 2.205 s
% 11.44/2.63 % Vampire exiting
%------------------------------------------------------------------------------