%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO562+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 : n014.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 09:54:44 AM UTC 2026
% Result : Theorem 9.19s 1.84s
% Output : Refutation 9.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 19 unt; 0 def)
% Number of atoms : 217 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 214 ( 73 ~; 71 |; 57 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 367 ( 345 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(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(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214023) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) )
=> eqangle(X0,X8,X8,X1,X1,X2,X2,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X0,X8,X8,X1,X1,X2,X2,X6)
& circle(X3,X0,X1,X2)
& perp(X1,X3,X0,X4)
& circle(X3,X0,X4,X9)
& coll(X5,X1,X3)
& coll(X5,X0,X4)
& circle(X3,X0,X6,X10)
& coll(X7,X0,X4)
& coll(X7,X1,X2)
& coll(X8,X0,X4)
& coll(X8,X1,X6) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26)
& circle(sK23,sK20,sK21,sK22)
& perp(sK21,sK23,sK20,sK24)
& circle(sK23,sK20,sK24,sK29)
& coll(sK25,sK21,sK23)
& coll(sK25,sK20,sK24)
& circle(sK23,sK20,sK26,sK30)
& coll(sK27,sK20,sK24)
& coll(sK27,sK21,sK22)
& coll(sK28,sK20,sK24)
& coll(sK28,sK21,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[f250]) ).
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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
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(f392,plain,
perp(sK21,sK23,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ eqangle(sK20,sK28,sK28,sK21,sK21,sK22,sK22,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f469,plain,
perp(sK20,sK24,sK21,sK23),
inference(resolution,[],[f278,f392]) ).
fof(f1589,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f279,f392]) ).
fof(f9273,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f1589,f469]) ).
fof(f9282,plain,
! [X0,X1] : eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1),
inference(resolution,[],[f9273,f310]) ).
fof(f9332,plain,
! [X0,X1] : eqangle(sK20,sK24,sK20,sK24,X0,X1,X0,X1),
inference(resolution,[],[f9282,f291]) ).
fof(f9439,plain,
! [X0] :
( cyclic(sK24,sK24,sK20,X0)
| ~ coll(sK20,X0,sK24) ),
inference(resolution,[],[f9332,f313]) ).
fof(f9440,plain,
! [X0] :
( cyclic(sK24,sK24,sK20,X0)
| coll(sK20,X0,sK24) ),
inference(resolution,[],[f9332,f312]) ).
fof(f9443,plain,
! [X0] : cyclic(sK24,sK24,sK20,X0),
inference(forward_subsumption_resolution,[],[f9439,f9440]) ).
fof(f9549,plain,
! [X0,X1] :
( ~ cyclic(sK24,sK24,sK20,X0)
| cyclic(sK24,sK20,X0,X1) ),
inference(resolution,[],[f9443,f287]) ).
fof(f9566,plain,
! [X0,X1] : cyclic(sK24,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f9549,f9443]) ).
fof(f9620,plain,
! [X2,X0,X1] :
( ~ cyclic(sK24,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f9566,f287]) ).
fof(f9626,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f9620,f9566]) ).
fof(f9772,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f9626,f287]) ).
fof(f9779,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f9772,f9626]) ).
fof(f13169,plain,
! [X0] :
( ~ cyclic(sK24,X0,sK20,sK24)
| ~ cyclic(sK24,X0,sK20,X0)
| ~ cyclic(sK24,X0,sK20,sK20)
| cong(sK24,X0,sK24,X0) ),
inference(resolution,[],[f314,f9282]) ).
fof(f13173,plain,
! [X0] :
( ~ cyclic(sK24,X0,sK20,sK24)
| ~ cyclic(sK24,X0,sK20,X0)
| cong(sK24,X0,sK24,X0) ),
inference(forward_subsumption_resolution,[],[f13169,f9779]) ).
fof(f13175,plain,
! [X0] :
( ~ cyclic(sK24,X0,sK20,sK24)
| cong(sK24,X0,sK24,X0) ),
inference(forward_subsumption_resolution,[],[f13173,f9779]) ).
fof(f13176,plain,
! [X0] : cong(sK24,X0,sK24,X0),
inference(forward_subsumption_resolution,[],[f13175,f9779]) ).
fof(f14426,plain,
! [X0,X1] :
( ~ cong(sK24,X0,sK24,X0)
| perp(sK24,sK24,X0,X1) ),
inference(resolution,[],[f13176,f327]) ).
fof(f14452,plain,
! [X0,X1] : perp(sK24,sK24,X0,X1),
inference(forward_subsumption_resolution,[],[f14426,f13176]) ).
fof(f14491,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,sK24,sK24)
| para(X0,X1,X2,X3) ),
inference(resolution,[],[f14452,f279]) ).
fof(f14492,plain,
! [X0,X1] : perp(X0,X1,sK24,sK24),
inference(resolution,[],[f14452,f278]) ).
fof(f14500,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14491,f14492]) ).
fof(f14565,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3),
inference(resolution,[],[f14500,f310]) ).
fof(f24116,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5),
inference(resolution,[],[f14565,f291]) ).
fof(f24418,plain,
! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X0,X1,X2,X3,X4,X5),
inference(resolution,[],[f24116,f290]) ).
fof(f24949,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| eqangle(X0,X1,X2,X3,X6,X7,X8,X9) ),
inference(resolution,[],[f24418,f292]) ).
fof(f24971,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7] : eqangle(X0,X1,X2,X3,X6,X7,X8,X9),
inference(forward_subsumption_resolution,[],[f24949,f24116]) ).
fof(f25554,plain,
$false,
inference(resolution,[],[f24971,f394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO562+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n014.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 08:31:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 8.39/1.74 % (505023)Will run a generic schedule for satisfiability detection.
% 8.39/1.74 % (505030)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3461979659:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.39/1.74 % (505029)% WARNING: option uhcvi not known.
% 8.39/1.74 % (505028)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=649398343_2999 on theBenchmark for (2999ds/0Mi)
% 8.39/1.74 % (505033)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=646539730:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.39/1.74 % (505032)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2487076725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.39/1.74 % (505029)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2159718405:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.39/1.74 % (505031)dis+10_1_sil=32000:sp=arity:random_seed=1771287576:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.39/1.74 % (505034)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2984817569:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.39/1.74 % TRYING [1]
% 8.39/1.74 % TRYING [2]
% 8.39/1.74 % TRYING [3]
% 8.39/1.74 % (505031)Instruction limit reached!
% 8.39/1.74 % (505031)------------------------------
% 8.39/1.74 % (505031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.74 % (505031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.74 % (505031)CaDiCaL version: 2.1.3
% 8.39/1.74 % (505031)Termination reason: Instruction limit
% 8.39/1.74 % (505031)Termination phase: Saturation
% 8.39/1.74 % (505031)Time elapsed: 0.067 s
% 8.39/1.74 % (505031)Peak memory usage: 13 MB
% 8.39/1.74 % (505031)Instructions burned: 103 (million)
% 8.39/1.74 % (505032)Instruction limit reached!
% 8.39/1.74 % (505032)------------------------------
% 8.39/1.74 % (505032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.74 % (505032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.74 % (505032)CaDiCaL version: 2.1.3
% 8.39/1.74 % (505032)Termination reason: Instruction limit
% 8.39/1.74 % (505032)Termination phase: Saturation
% 8.39/1.74 % (505032)Time elapsed: 0.068 s
% 8.39/1.74 % (505032)Peak memory usage: 13 MB
% 8.39/1.74 % (505032)Instructions burned: 116 (million)
% 8.39/1.74 % (505033)Instruction limit reached!
% 8.39/1.74 % (505033)------------------------------
% 8.39/1.74 % (505033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.74 % (505033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.74 % (505033)CaDiCaL version: 2.1.3
% 8.39/1.74 % (505033)Termination reason: Instruction limit
% 8.39/1.74 % (505033)Termination phase: Saturation
% 8.39/1.74 % (505033)Time elapsed: 0.082 s
% 8.39/1.74 % (505033)Peak memory usage: 14 MB
% 8.39/1.74 % (505033)Instructions burned: 131 (million)
% 8.39/1.74 % (505042)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3135747685:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 8.39/1.74 % (505043)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3925330558:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.39/1.74 % (505034)Instruction limit reached!
% 8.39/1.74 % (505034)------------------------------
% 8.39/1.74 % (505034)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.74 % (505034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.39/1.74 % (505034)CaDiCaL version: 2.1.3
% 8.39/1.74 % (505034)Termination reason: Instruction limit
% 8.39/1.74 % (505034)Termination phase: Saturation
% 8.39/1.74 % (505034)Time elapsed: 0.088 s
% 8.39/1.74 % (505034)Peak memory usage: 15 MB
% 8.39/1.74 % (505034)Instructions burned: 159 (million)
% 8.39/1.74 % TRYING [1]
% 8.39/1.74 % TRYING [2]
% 8.39/1.74 % (505044)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=675206434:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.39/1.74 % (505047)ott-21_1_sil=16000:fs=off:random_seed=4243669029:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.39/1.74 % TRYING [3]
% 8.39/1.74 % (505043)Instruction limit reached!
% 8.39/1.74 % (505043)------------------------------
% 8.39/1.74 % (505043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.39/1.74 % (505043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505043)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505043)Termination reason: Instruction limit
% 9.19/1.84 % (505043)Termination phase: Saturation
% 9.19/1.84 % (505043)Time elapsed: 0.079 s
% 9.19/1.84 % (505043)Peak memory usage: 14 MB
% 9.19/1.84 % (505043)Instructions burned: 131 (million)
% 9.19/1.84 % (505050)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1624722461:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 9.19/1.84 % (505047)Instruction limit reached!
% 9.19/1.84 % (505047)------------------------------
% 9.19/1.84 % (505047)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505047)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505047)Termination reason: Instruction limit
% 9.19/1.84 % (505047)Termination phase: Saturation
% 9.19/1.84 % (505047)Time elapsed: 0.095 s
% 9.19/1.84 % (505047)Peak memory usage: 12 MB
% 9.19/1.84 % (505047)Instructions burned: 180 (million)
% 9.19/1.84 % (505052)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=825328555:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 9.19/1.84 % TRYING [1]
% 9.19/1.84 % TRYING [2]
% 9.19/1.84 % TRYING [3]
% 9.19/1.84 % (505042)Instruction limit reached!
% 9.19/1.84 % (505042)------------------------------
% 9.19/1.84 % (505042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505042)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505042)Termination reason: Instruction limit
% 9.19/1.84 % (505042)Termination phase: Finite model building constraint generation
% 9.19/1.84 % (505042)Time elapsed: 0.249 s
% 9.19/1.84 % (505042)Peak memory usage: 24 MB
% 9.19/1.84 % (505042)Instructions burned: 714 (million)
% 9.19/1.84 % (505054)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2870825775:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 9.19/1.84 % (505050)Instruction limit reached!
% 9.19/1.84 % (505050)------------------------------
% 9.19/1.84 % (505050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505050)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505050)Termination reason: Instruction limit
% 9.19/1.84 % (505050)Termination phase: Saturation
% 9.19/1.84 % (505050)Time elapsed: 0.292 s
% 9.19/1.84 % (505050)Peak memory usage: 15 MB
% 9.19/1.84 % (505050)Instructions burned: 478 (million)
% 9.19/1.84 % (505056)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3086317406:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 9.19/1.84 % (505056)Cannot represent all propositional literals internally
% 9.19/1.84 % (505056)Refutation not found, incomplete strategy
% 9.19/1.84 % (505056)------------------------------
% 9.19/1.84 % (505056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505056)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505056)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.84 % (505056)Time elapsed: 0.007 s
% 9.19/1.84 % (505056)Peak memory usage: 10 MB
% 9.19/1.84 % (505056)Instructions burned: 13 (million)
% 9.19/1.84 % (505056)------------------------------
% 9.19/1.84 % (505056)------------------------------
% 9.19/1.84 % (505044)Instruction limit reached!
% 9.19/1.84 % (505044)------------------------------
% 9.19/1.84 % (505044)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505044)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505044)Termination reason: Instruction limit
% 9.19/1.84 % (505044)Termination phase: Saturation
% 9.19/1.84 % (505044)Time elapsed: 0.412 s
% 9.19/1.84 % (505044)Peak memory usage: 18 MB
% 9.19/1.84 % (505044)Instructions burned: 685 (million)
% 9.19/1.84 % (505058)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=3976421193: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)
% 9.19/1.84 % (505052)Instruction limit reached!
% 9.19/1.84 % (505052)------------------------------
% 9.19/1.84 % (505052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505052)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505052)Termination reason: Instruction limit
% 9.19/1.84 % (505052)Termination phase: Finite model building constraint generation
% 9.19/1.84 % (505052)Time elapsed: 0.306 s
% 9.19/1.84 % (505052)Peak memory usage: 50 MB
% 9.19/1.84 % (505052)Instructions burned: 865 (million)
% 9.19/1.84 % (505059)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2630569461:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 9.19/1.84 % (505062)fmb+10_1_sil=64000:random_seed=4000946600:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 9.19/1.84 % TRYING [1]
% 9.19/1.84 % TRYING [2]
% 9.19/1.84 % TRYING [3]
% 9.19/1.84 % (505058)Instruction limit reached!
% 9.19/1.84 % (505058)------------------------------
% 9.19/1.84 % (505058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505058)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505058)Termination reason: Instruction limit
% 9.19/1.84 % (505058)Termination phase: Saturation
% 9.19/1.84 % (505058)Time elapsed: 0.378 s
% 9.19/1.84 % (505058)Peak memory usage: 17 MB
% 9.19/1.84 % (505058)Instructions burned: 693 (million)
% 9.19/1.84 % (505064)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1026296908:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 9.19/1.84 % (505064)Cannot represent all propositional literals internally
% 9.19/1.84 % (505064)Refutation not found, incomplete strategy
% 9.19/1.84 % (505064)------------------------------
% 9.19/1.84 % (505064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505064)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505064)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.84 % (505064)Time elapsed: 0.006 s
% 9.19/1.84 % (505064)Peak memory usage: 10 MB
% 9.19/1.84 % (505064)Instructions burned: 13 (million)
% 9.19/1.84 % (505064)------------------------------
% 9.19/1.84 % (505064)------------------------------
% 9.19/1.84 % (505066)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1141737080:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 9.19/1.84 % TRYING [8]
% 9.19/1.84 % (505059)Instruction limit reached!
% 9.19/1.84 % (505059)------------------------------
% 9.19/1.84 % (505059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505059)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505059)Termination reason: Instruction limit
% 9.19/1.84 % (505059)Termination phase: Saturation
% 9.19/1.84 % (505059)Time elapsed: 0.472 s
% 9.19/1.84 % (505059)Peak memory usage: 17 MB
% 9.19/1.84 % (505059)Instructions burned: 880 (million)
% 9.19/1.84 % (505068)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=298059487:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 9.19/1.84 % (505054)Instruction limit reached!
% 9.19/1.84 % (505054)------------------------------
% 9.19/1.84 % (505054)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505054)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505054)Termination reason: Instruction limit
% 9.19/1.84 % (505054)Termination phase: Saturation
% 9.19/1.84 % (505054)Time elapsed: 0.714 s
% 9.19/1.84 % (505054)Peak memory usage: 23 MB
% 9.19/1.84 % (505054)Instructions burned: 1180 (million)
% 9.19/1.84 % (505070)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4266824598:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 9.19/1.84 % (505066)Instruction limit reached!
% 9.19/1.84 % (505066)------------------------------
% 9.19/1.84 % (505066)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505066)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505066)Termination reason: Instruction limit
% 9.19/1.84 % (505066)Termination phase: Finite model building constraint generation
% 9.19/1.84 % (505066)Time elapsed: 0.302 s
% 9.19/1.84 % (505066)Peak memory usage: 51 MB
% 9.19/1.84 % (505066)Instructions burned: 923 (million)
% 9.19/1.84 % (505072)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1657657262:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 9.19/1.84 % (505072)Cannot represent all propositional literals internally
% 9.19/1.84 % (505072)Refutation not found, incomplete strategy
% 9.19/1.84 % (505072)------------------------------
% 9.19/1.84 % (505072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505072)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505072)Termination reason: Refutation not found, incomplete strategy
% 9.19/1.84 % (505072)Time elapsed: 0.008 s
% 9.19/1.84 % (505072)Peak memory usage: 11 MB
% 9.19/1.84 % (505072)Instructions burned: 16 (million)
% 9.19/1.84 % (505072)------------------------------
% 9.19/1.84 % (505072)------------------------------
% 9.19/1.84 % (505074)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=469569793:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 9.19/1.84 % (505070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-505023-505070"...
% 9.19/1.84 % (505070)...printing done.
% 9.19/1.84 % (505070)Refutation found. Thanks to Tanya!
% 9.19/1.84 % SZS status Theorem for theBenchmark
% 9.19/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 9.19/1.84 % (505070)------------------------------
% 9.19/1.84 % (505070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 9.19/1.84 % (505070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.19/1.84 % (505070)CaDiCaL version: 2.1.3
% 9.19/1.84 % (505070)Termination reason: Refutation
% 9.19/1.84 % (505070)Time elapsed: 0.265 s
% 9.19/1.84 % (505070)Peak memory usage: 18 MB
% 9.19/1.84 % (505070)Instructions burned: 446 (million)
% 9.19/1.84 % (505023)Success in time 1.421 s
% 9.19/1.84 % Vampire exiting
%------------------------------------------------------------------------------