%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO641+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 : n007.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 09:54:56 AM UTC 2026
% Result : Theorem 20.21s 3.40s
% Output : Refutation 20.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 154 ( 33 unt; 0 def)
% Number of atoms : 386 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 387 ( 155 ~; 153 |; 53 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 581 ( 565 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(f54,axiom,
! [X0,X1,X2,X3] :
( ( circle(X3,X0,X1,X2)
& coll(X3,X0,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) )
=> para(X5,X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109107) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) )
=> para(X5,X6,X1,X2) ),
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(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(f174,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(flattening,[],[f174]) ).
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] :
( ~ para(X5,X6,X1,X2)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X5,X6,X1,X2)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X7)
& perp(X0,X1,X4,X5)
& perp(X0,X4,X1,X5)
& perp(X1,X4,X0,X5)
& perp(X0,X2,X4,X6)
& perp(X0,X4,X2,X6)
& perp(X2,X4,X0,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK25,sK26,sK21,sK22)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK27)
& perp(sK20,sK21,sK24,sK25)
& perp(sK20,sK24,sK21,sK25)
& perp(sK21,sK24,sK20,sK25)
& perp(sK20,sK22,sK24,sK26)
& perp(sK20,sK24,sK22,sK26)
& perp(sK22,sK24,sK20,sK26) ),
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(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(f324,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
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(sK20,sK22,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK21,sK24,sK20,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK20,sK21,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ para(sK25,sK26,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
perp(sK20,sK22,sK26,sK24),
inference(resolution,[],[f277,f386]) ).
fof(f403,plain,
perp(sK20,sK25,sK21,sK24),
inference(resolution,[],[f278,f387]) ).
fof(f405,plain,
perp(sK24,sK25,sK20,sK21),
inference(resolution,[],[f278,f389]) ).
fof(f409,plain,
perp(sK26,sK24,sK20,sK22),
inference(resolution,[],[f395,f278]) ).
fof(f458,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[],[f324,f391]) ).
fof(f515,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK24,sK25)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f405]) ).
fof(f532,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK24)
| para(X0,X1,sK20,sK25) ),
inference(resolution,[],[f279,f387]) ).
fof(f537,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK24,sK26) ),
inference(resolution,[],[f279,f386]) ).
fof(f643,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(f661,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(f681,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f458,f279]) ).
fof(f694,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(f1361,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(f1367,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,[],[f1361]) ).
fof(f1424,plain,
para(sK20,sK25,sK20,sK25),
inference(resolution,[],[f532,f403]) ).
fof(f1480,plain,
para(sK26,sK24,sK24,sK26),
inference(resolution,[],[f537,f409]) ).
fof(f1875,plain,
para(sK26,sK24,sK26,sK24),
inference(resolution,[],[f1480,f274]) ).
fof(f1936,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f643,f309]) ).
fof(f2125,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f661,f313]) ).
fof(f2126,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f661,f312]) ).
fof(f2136,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2125,f2126]) ).
fof(f2542,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,[],[f694,f346]) ).
fof(f5535,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f515,f389]) ).
fof(f13761,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1936,f1875]) ).
fof(f13763,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f13761,f337]) ).
fof(f13768,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f13761,f335]) ).
fof(f13801,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f13768,f13761]) ).
fof(f13821,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f13763,f272]) ).
fof(f14070,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13821,f271]) ).
fof(f14300,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f2136,f13761]) ).
fof(f14301,plain,
! [X0] : cyclic(sK21,sK21,sK20,X0),
inference(resolution,[],[f2136,f5535]) ).
fof(f14304,plain,
! [X0] : cyclic(sK25,sK25,sK20,X0),
inference(resolution,[],[f2136,f1424]) ).
fof(f14325,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14070,f273]) ).
fof(f14368,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14325,f14070]) ).
fof(f17409,plain,
! [X0,X1] :
( ~ cyclic(sK25,sK25,sK20,X0)
| cyclic(sK25,sK20,X0,X1) ),
inference(resolution,[],[f14304,f287]) ).
fof(f17429,plain,
! [X0,X1] : cyclic(sK25,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f17409,f14300]) ).
fof(f17763,plain,
( ~ cyclic(sK21,sK21,sK20,sK21)
| ~ cyclic(sK21,sK21,sK20,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(resolution,[],[f14301,f1367]) ).
fof(f17769,plain,
( ~ cyclic(sK21,sK21,sK20,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(duplicate_literal_removal,[],[f17763]) ).
fof(f17770,plain,
cong(sK21,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f17769,f14300]) ).
fof(f18557,plain,
! [X2,X0,X1] :
( ~ cyclic(sK25,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f17429,f287]) ).
fof(f18579,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f18557,f17429]) ).
fof(f23136,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f18579,f287]) ).
fof(f23165,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f23136,f18579]) ).
fof(f24022,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f14300,f1367]) ).
fof(f24039,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f24022]) ).
fof(f24041,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f24039,f23165]) ).
fof(f25050,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f24041,f338]) ).
fof(f25089,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f25050,f14368]) ).
fof(f25145,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f13801,f25089]) ).
fof(f28298,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1)
| ~ midp(X2,X1,X1) ),
inference(resolution,[],[f2542,f24041]) ).
fof(f28391,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21)
| ~ midp(X1,sK21,sK21) ),
inference(resolution,[],[f2542,f17770]) ).
fof(f28470,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21) ),
inference(forward_subsumption_resolution,[],[f28391,f25145]) ).
fof(f28501,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f28298,f25145]) ).
fof(f28521,plain,
! [X0,X1] : cong(X1,sK21,X0,sK21),
inference(forward_subsumption_resolution,[],[f28470,f25145]) ).
fof(f28539,plain,
! [X2,X0,X1] : cong(X2,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f28501,f25145]) ).
fof(f29051,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,sK21) ),
inference(resolution,[],[f28521,f327]) ).
fof(f29082,plain,
! [X2,X0,X1] : perp(X0,X2,X1,sK21),
inference(forward_subsumption_resolution,[],[f29051,f28539]) ).
fof(f31070,plain,
! [X0,X1] :
( ~ coll(sK23,sK20,sK22)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f29082,f681]) ).
fof(f31082,plain,
! [X0,X1] : para(X0,X1,sK21,sK22),
inference(forward_subsumption_resolution,[],[f31070,f14368]) ).
fof(f41168,plain,
$false,
inference(resolution,[],[f31082,f392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO641+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:40:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 6.61/1.47 % (1111364)Will run a generic schedule for satisfiability detection.
% 6.61/1.47 % (1111374)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1464651657:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.61/1.47 % (1111370)% WARNING: option uhcvi not known.
% 6.61/1.47 % (1111369)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=538760977_2999 on theBenchmark for (2999ds/0Mi)
% 6.61/1.47 % (1111371)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3453288018:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.61/1.47 % (1111370)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2581804253:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.61/1.47 % (1111372)dis+10_1_sil=32000:sp=arity:random_seed=1796348798:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.61/1.47 % (1111373)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2569429249:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.61/1.47 % (1111375)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=571243662:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.61/1.47 % TRYING [1]
% 6.61/1.47 % TRYING [2]
% 6.61/1.47 % (1111374)Instruction limit reached!
% 6.61/1.47 % (1111374)------------------------------
% 6.61/1.47 % (1111374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.47 % (1111374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.47 % (1111374)CaDiCaL version: 2.1.3
% 6.61/1.47 % (1111374)Termination reason: Instruction limit
% 6.61/1.47 % (1111374)Termination phase: Saturation
% 6.61/1.47 % (1111374)Time elapsed: 0.045 s
% 6.61/1.47 % (1111374)Peak memory usage: 14 MB
% 6.61/1.47 % (1111374)Instructions burned: 133 (million)
% 6.61/1.47 % TRYING [3]
% 6.61/1.47 % (1111383)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2796615472:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.61/1.47 % TRYING [1]
% 6.61/1.47 % TRYING [2]
% 6.61/1.47 % (1111372)Instruction limit reached!
% 6.61/1.47 % (1111372)------------------------------
% 6.61/1.47 % (1111372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.47 % (1111372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.47 % (1111372)CaDiCaL version: 2.1.3
% 6.61/1.47 % (1111372)Termination reason: Instruction limit
% 6.61/1.47 % (1111372)Termination phase: Saturation
% 6.61/1.47 % (1111372)Time elapsed: 0.066 s
% 6.61/1.47 % (1111372)Peak memory usage: 13 MB
% 6.61/1.47 % (1111372)Instructions burned: 104 (million)
% 6.61/1.47 % (1111373)Instruction limit reached!
% 6.61/1.47 % (1111373)------------------------------
% 6.61/1.47 % (1111373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.47 % (1111373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.47 % (1111373)CaDiCaL version: 2.1.3
% 6.61/1.47 % (1111373)Termination reason: Instruction limit
% 6.61/1.47 % (1111373)Termination phase: Saturation
% 6.61/1.47 % (1111373)Time elapsed: 0.067 s
% 6.61/1.47 % (1111373)Peak memory usage: 13 MB
% 6.61/1.47 % (1111373)Instructions burned: 117 (million)
% 6.61/1.47 % TRYING [3]
% 6.61/1.47 % (1111385)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=550306847:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.61/1.47 % (1111386)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=3882525479:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.61/1.47 % (1111375)Instruction limit reached!
% 6.61/1.47 % (1111375)------------------------------
% 6.61/1.47 % (1111375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.47 % (1111375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.47 % (1111375)CaDiCaL version: 2.1.3
% 6.61/1.47 % (1111375)Termination reason: Instruction limit
% 6.61/1.47 % (1111375)Termination phase: Saturation
% 6.61/1.47 % (1111375)Time elapsed: 0.098 s
% 6.61/1.47 % (1111375)Peak memory usage: 13 MB
% 6.61/1.47 % (1111375)Instructions burned: 159 (million)
% 6.61/1.47 % (1111389)ott-21_1_sil=16000:fs=off:random_seed=3274435185:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.61/1.47 % (1111385)Instruction limit reached!
% 6.61/1.47 % (1111385)------------------------------
% 6.61/1.47 % (1111385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.61/1.47 % (1111385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111385)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111385)Termination reason: Instruction limit
% 20.21/3.40 % (1111385)Termination phase: Saturation
% 20.21/3.40 % (1111385)Time elapsed: 0.077 s
% 20.21/3.40 % (1111385)Peak memory usage: 15 MB
% 20.21/3.40 % (1111385)Instructions burned: 132 (million)
% 20.21/3.40 % (1111383)Instruction limit reached!
% 20.21/3.40 % (1111383)------------------------------
% 20.21/3.40 % (1111383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111383)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111383)Termination reason: Instruction limit
% 20.21/3.40 % (1111383)Termination phase: Finite model building constraint generation
% 20.21/3.40 % (1111383)Time elapsed: 0.134 s
% 20.21/3.40 % (1111383)Peak memory usage: 24 MB
% 20.21/3.40 % (1111383)Instructions burned: 717 (million)
% 20.21/3.40 % (1111391)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4205159497:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 20.21/3.40 % (1111393)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2743256711:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 20.21/3.40 % TRYING [1]
% 20.21/3.40 % TRYING [2]
% 20.21/3.40 % (1111389)Instruction limit reached!
% 20.21/3.40 % (1111389)------------------------------
% 20.21/3.40 % (1111389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111389)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111389)Termination reason: Instruction limit
% 20.21/3.40 % (1111389)Termination phase: Saturation
% 20.21/3.40 % (1111389)Time elapsed: 0.096 s
% 20.21/3.40 % (1111389)Peak memory usage: 13 MB
% 20.21/3.40 % (1111389)Instructions burned: 183 (million)
% 20.21/3.40 % TRYING [3]
% 20.21/3.40 % (1111395)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3302970576:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 20.21/3.40 % (1111393)Instruction limit reached!
% 20.21/3.40 % (1111393)------------------------------
% 20.21/3.40 % (1111393)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111393)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111393)Termination reason: Instruction limit
% 20.21/3.40 % (1111393)Termination phase: Finite model building constraint generation
% 20.21/3.40 % (1111393)Time elapsed: 0.165 s
% 20.21/3.40 % (1111393)Peak memory usage: 50 MB
% 20.21/3.40 % (1111393)Instructions burned: 865 (million)
% 20.21/3.40 % (1111397)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2438841392:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 20.21/3.40 % (1111397)Cannot represent all propositional literals internally
% 20.21/3.40 % (1111397)Refutation not found, incomplete strategy
% 20.21/3.40 % (1111397)------------------------------
% 20.21/3.40 % (1111397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111397)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111397)Termination reason: Refutation not found, incomplete strategy
% 20.21/3.40 % (1111397)Time elapsed: 0.003 s
% 20.21/3.40 % (1111397)Peak memory usage: 10 MB
% 20.21/3.40 % (1111397)Instructions burned: 13 (million)
% 20.21/3.40 % (1111397)------------------------------
% 20.21/3.40 % (1111397)------------------------------
% 20.21/3.40 % (1111399)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=493465562: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)
% 20.21/3.40 % (1111391)Instruction limit reached!
% 20.21/3.40 % (1111391)------------------------------
% 20.21/3.40 % (1111391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111391)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111391)Termination reason: Instruction limit
% 20.21/3.40 % (1111391)Termination phase: Saturation
% 20.21/3.40 % (1111391)Time elapsed: 0.278 s
% 20.21/3.40 % (1111391)Peak memory usage: 14 MB
% 20.21/3.40 % (1111391)Instructions burned: 477 (million)
% 20.21/3.40 % (1111386)Instruction limit reached!
% 20.21/3.40 % (1111386)------------------------------
% 20.21/3.40 % (1111386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111386)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111386)Termination reason: Instruction limit
% 20.21/3.40 % (1111386)Termination phase: Saturation
% 20.21/3.40 % (1111386)Time elapsed: 0.373 s
% 20.21/3.40 % (1111386)Peak memory usage: 20 MB
% 20.21/3.40 % (1111386)Instructions burned: 684 (million)
% 20.21/3.40 % (1111401)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3266808521:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 20.21/3.40 % (1111402)fmb+10_1_sil=64000:random_seed=2227338227:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 20.21/3.40 % TRYING [1]
% 20.21/3.40 % TRYING [2]
% 20.21/3.40 % TRYING [3]
% 20.21/3.40 % (1111399)Instruction limit reached!
% 20.21/3.40 % (1111399)------------------------------
% 20.21/3.40 % (1111399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111399)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111399)Termination reason: Instruction limit
% 20.21/3.40 % (1111399)Termination phase: Saturation
% 20.21/3.40 % (1111399)Time elapsed: 0.202 s
% 20.21/3.40 % (1111399)Peak memory usage: 24 MB
% 20.21/3.40 % (1111399)Instructions burned: 694 (million)
% 20.21/3.40 % (1111405)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1384293924:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 20.21/3.40 % (1111405)Cannot represent all propositional literals internally
% 20.21/3.40 % (1111405)Refutation not found, incomplete strategy
% 20.21/3.40 % (1111405)------------------------------
% 20.21/3.40 % (1111405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111405)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111405)Termination reason: Refutation not found, incomplete strategy
% 20.21/3.40 % (1111405)Time elapsed: 0.003 s
% 20.21/3.40 % (1111405)Peak memory usage: 10 MB
% 20.21/3.40 % (1111405)Instructions burned: 13 (million)
% 20.21/3.40 % (1111405)------------------------------
% 20.21/3.40 % (1111405)------------------------------
% 20.21/3.40 % (1111407)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1075855114:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 20.21/3.40 % TRYING [8]
% 20.21/3.40 % (1111407)Instruction limit reached!
% 20.21/3.40 % (1111407)------------------------------
% 20.21/3.40 % (1111407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111407)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111407)Termination reason: Instruction limit
% 20.21/3.40 % (1111407)Termination phase: Finite model building constraint generation
% 20.21/3.40 % (1111407)Time elapsed: 0.152 s
% 20.21/3.40 % (1111407)Peak memory usage: 46 MB
% 20.21/3.40 % (1111407)Instructions burned: 923 (million)
% 20.21/3.40 % (1111409)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3461499227:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 20.21/3.40 % (1111395)Instruction limit reached!
% 20.21/3.40 % (1111395)------------------------------
% 20.21/3.40 % (1111395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111395)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111395)Termination reason: Instruction limit
% 20.21/3.40 % (1111395)Termination phase: Saturation
% 20.21/3.40 % (1111395)Time elapsed: 0.699 s
% 20.21/3.40 % (1111395)Peak memory usage: 23 MB
% 20.21/3.40 % (1111395)Instructions burned: 1179 (million)
% 20.21/3.40 % (1111411)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=994908670:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 20.21/3.40 % (1111401)Instruction limit reached!
% 20.21/3.40 % (1111401)------------------------------
% 20.21/3.40 % (1111401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111401)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111401)Termination reason: Instruction limit
% 20.21/3.40 % (1111401)Termination phase: Saturation
% 20.21/3.40 % (1111401)Time elapsed: 0.483 s
% 20.21/3.40 % (1111401)Peak memory usage: 18 MB
% 20.21/3.40 % (1111401)Instructions burned: 880 (million)
% 20.21/3.40 % (1111413)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=416383931:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 20.21/3.40 % (1111413)Cannot represent all propositional literals internally
% 20.21/3.40 % (1111413)Refutation not found, incomplete strategy
% 20.21/3.40 % (1111413)------------------------------
% 20.21/3.40 % (1111413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111413)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111413)Termination reason: Refutation not found, incomplete strategy
% 20.21/3.40 % (1111413)Time elapsed: 0.008 s
% 20.21/3.40 % (1111413)Peak memory usage: 11 MB
% 20.21/3.40 % (1111413)Instructions burned: 16 (million)
% 20.21/3.40 % (1111413)------------------------------
% 20.21/3.40 % (1111413)------------------------------
% 20.21/3.40 % (1111415)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2663720451:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 20.21/3.40 % (1111415)Cannot represent all propositional literals internally
% 20.21/3.40 % (1111415)Refutation not found, incomplete strategy
% 20.21/3.40 % (1111415)------------------------------
% 20.21/3.40 % (1111415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111415)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111415)Termination reason: Refutation not found, incomplete strategy
% 20.21/3.40 % (1111415)Time elapsed: 0.082 s
% 20.21/3.40 % (1111415)Peak memory usage: 12 MB
% 20.21/3.40 % (1111415)Instructions burned: 166 (million)
% 20.21/3.40 % (1111415)------------------------------
% 20.21/3.40 % (1111415)------------------------------
% 20.21/3.40 % (1111417)ott-2_1_sil=16000:newcnf=on:random_seed=3456056105:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 20.21/3.40 % (1111417)Instruction limit reached!
% 20.21/3.40 % (1111417)------------------------------
% 20.21/3.40 % (1111417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111417)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111417)Termination reason: Instruction limit
% 20.21/3.40 % (1111417)Termination phase: Saturation
% 20.21/3.40 % (1111417)Time elapsed: 0.492 s
% 20.21/3.40 % (1111417)Peak memory usage: 16 MB
% 20.21/3.40 % (1111417)Instructions burned: 869 (million)
% 20.21/3.40 % (1111419)ott+10_1_sil=32000:tgt=ground:random_seed=538985832:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 20.21/3.40 % (1111411)Instruction limit reached!
% 20.21/3.40 % (1111411)------------------------------
% 20.21/3.40 % (1111411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111411)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111411)Termination reason: Instruction limit
% 20.21/3.40 % (1111411)Termination phase: Saturation
% 20.21/3.40 % (1111411)Time elapsed: 0.934 s
% 20.21/3.40 % (1111411)Peak memory usage: 32 MB
% 20.21/3.40 % (1111411)Instructions burned: 1472 (million)
% 20.21/3.40 % (1111421)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1334176721:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 20.21/3.40 % TRYING [1]
% 20.21/3.40 % TRYING [2]
% 20.21/3.40 % TRYING [3]
% 20.21/3.40 % (1111409)Instruction limit reached!
% 20.21/3.40 % (1111409)------------------------------
% 20.21/3.40 % (1111409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.21/3.40 % (1111409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.21/3.40 % (1111409)CaDiCaL version: 2.1.3
% 20.21/3.40 % (1111409)Termination reason: Instruction limit
% 20.21/3.40 % (1111409)Termination phase: Saturation
% 20.21/3.40 % (1111409)Time elapsed: 1.683 s
% 20.21/3.40 % (1111409)Peak memory usage: 35 MB
% 20.21/3.40 % (1111409)Instructions burned: 5131 (million)
% 20.21/3.40 % (1111423)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2410544359:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 20.21/3.40 % TRYING [4]
% 20.21/3.40 % (1111419) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1111364-1111419"...
% 20.21/3.40 % (1111419)...printing done.
% 20.21/3.40 % (1111419)Refutation found. Thanks to Tanya!
% 20.21/3.40 % SZS status Theorem for theBenchmark
% 20.21/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 20.86/3.40 % (1111419)------------------------------
% 20.86/3.40 % (1111419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 20.86/3.40 % (1111419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.86/3.40 % (1111419)CaDiCaL version: 2.1.3
% 20.86/3.40 % (1111419)Termination reason: Refutation
% 20.86/3.40 % (1111419)Time elapsed: 1.240 s
% 20.86/3.40 % (1111419)Peak memory usage: 32 MB
% 20.86/3.40 % (1111419)Instructions burned: 1957 (million)
% 20.86/3.40 % (1111364)Success in time 2.959 s
% 20.86/3.40 % Vampire exiting
%------------------------------------------------------------------------------