%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO615+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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:52 AM UTC 2026
% Result : Theorem 11.81s 2.06s
% Output : Refutation 11.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 18 unt; 0 def)
% Number of atoms : 349 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 358 ( 132 ~; 127 |; 75 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 12 con; 0-5 aty)
% Number of variables : 614 ( 587 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X2,X2,X1)
& coll(X1,X3,X4) )
=> ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& midpoint(X7,X1,X3)
& perp(X1,X3,X7,X4)
& perp(X0,X1,X1,X4)
& circle(X4,X1,X8,X9)
& coll(X5,X0,X2)
& circle(X4,X1,X5,X10)
& circle(X4,X5,X6,X11)
& coll(X6,X5,X0) )
=> eqangle(X5,X3,X3,X2,X2,X3,X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618077) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& midpoint(X7,X1,X3)
& perp(X1,X3,X7,X4)
& perp(X0,X1,X1,X4)
& circle(X4,X1,X8,X9)
& coll(X5,X0,X2)
& circle(X4,X1,X5,X10)
& circle(X4,X5,X6,X11)
& coll(X6,X5,X0) )
=> eqangle(X5,X3,X3,X2,X2,X3,X3,X6) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X7,X4)
& perp(X0,X1,X1,X4)
& circle(X4,X1,X8,X9)
& coll(X5,X0,X2)
& circle(X4,X1,X5,X10)
& circle(X4,X5,X6,X11)
& coll(X6,X5,X0) )
=> eqangle(X5,X3,X3,X2,X2,X3,X3,X6) ),
inference(pure_predicate_removal,[],[f96]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f100,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f101]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
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(ennf_transformation,[],[f9]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f109]) ).
fof(f121,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(f122,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f121]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f124,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(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f126,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(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(ennf_transformation,[],[f22]) ).
fof(f128,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,[],[f127]) ).
fof(f149,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(f150,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] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
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(ennf_transformation,[],[f42]) ).
fof(f153,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,[],[f152]) ).
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(ennf_transformation,[],[f43]) ).
fof(f155,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,[],[f154]) ).
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(ennf_transformation,[],[f44]) ).
fof(f157,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,[],[f156]) ).
fof(f181,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(f182,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f181]) ).
fof(f198,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
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(ennf_transformation,[],[f74]) ).
fof(f210,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,[],[f209]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(ennf_transformation,[],[f91]) ).
fof(f243,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(flattening,[],[f242]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X3,X3,X2,X2,X3,X3,X6)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X7,X4)
& perp(X0,X1,X1,X4)
& circle(X4,X1,X8,X9)
& coll(X5,X0,X2)
& circle(X4,X1,X5,X10)
& circle(X4,X5,X6,X11)
& coll(X6,X5,X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f251,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X5,X3,X3,X2,X2,X3,X3,X6)
& eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
& eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
& eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
& perp(X1,X3,X7,X4)
& perp(X0,X1,X1,X4)
& circle(X4,X1,X8,X9)
& coll(X5,X0,X2)
& circle(X4,X1,X5,X10)
& circle(X4,X5,X6,X11)
& coll(X6,X5,X0) ),
inference(flattening,[],[f250]) ).
fof(f267,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(sK16(X0,X1,X2,X3,X4),X3,X4)
& perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f243]) ).
fof(f271,plain,
( ~ eqangle(sK25,sK23,sK23,sK22,sK22,sK23,sK23,sK26)
& eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
& eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
& eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
& perp(sK21,sK23,sK27,sK24)
& perp(sK20,sK21,sK21,sK24)
& circle(sK24,sK21,sK28,sK29)
& coll(sK25,sK20,sK22)
& circle(sK24,sK21,sK25,sK30)
& circle(sK24,sK25,sK26,sK31)
& coll(sK26,sK25,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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),skolemize(X11,sK31)],[f251]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f100]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f279,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f280,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,[],[f110]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,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,[],[f124]) ).
fof(f291,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,[],[f125]) ).
fof(f292,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,[],[f126]) ).
fof(f293,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,[],[f128]) ).
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,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(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) ),
inference(cnf_transformation,[],[f151]) ).
fof(f313,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,[],[f153]) ).
fof(f314,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,[],[f155]) ).
fof(f315,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,[],[f157]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f182]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f198]) ).
fof(f345,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,[],[f210]) ).
fof(f378,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4) ),
inference(cnf_transformation,[],[f267]) ).
fof(f390,plain,
perp(sK20,sK21,sK21,sK24),
inference(cnf_transformation,[],[f271]) ).
fof(f391,plain,
perp(sK21,sK23,sK27,sK24),
inference(cnf_transformation,[],[f271]) ).
fof(f395,plain,
~ eqangle(sK25,sK23,sK23,sK22,sK22,sK23,sK23,sK26),
inference(cnf_transformation,[],[f271]) ).
fof(f421,plain,
perp(sK27,sK24,sK21,sK23),
inference(resolution,[],[f279,f391]) ).
fof(f538,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK23)
| para(X0,X1,sK27,sK24) ),
inference(resolution,[],[f280,f391]) ).
fof(f604,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
| ~ cyclic(X0,X2,X1,X3) ),
inference(resolution,[],[f289,f312]) ).
fof(f613,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f290,f311]) ).
fof(f623,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1) ),
inference(resolution,[],[f291,f311]) ).
fof(f633,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f292,f311]) ).
fof(f868,plain,
! [X0,X1] :
( perp(sK16(sK20,sK24,sK21,X0,X1),sK20,X0,X1)
| ~ coll(sK24,X0,X1) ),
inference(resolution,[],[f378,f390]) ).
fof(f1023,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f293,f311]) ).
fof(f1440,plain,
para(sK27,sK24,sK27,sK24),
inference(resolution,[],[f538,f421]) ).
fof(f1539,plain,
! [X2,X3,X0,X1] :
( ~ perp(X2,X3,sK16(sK20,sK24,sK21,X0,X1),sK20)
| ~ coll(sK24,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[],[f868,f280]) ).
fof(f1878,plain,
! [X2,X3,X0,X1] :
( eqangle(X3,X0,X3,X1,X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f604,f291]) ).
fof(f1934,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f613,f310]) ).
fof(f2026,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f623,f345]) ).
fof(f2120,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f633,f314]) ).
fof(f2121,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f633,f313]) ).
fof(f2131,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2120,f2121]) ).
fof(f3998,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X0,X1,X4,X5)
| ~ para(X2,X3,X6,X7) ),
inference(resolution,[],[f1023,f613]) ).
fof(f14424,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1934,f1440]) ).
fof(f14426,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f14424,f338]) ).
fof(f14465,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f14426,f273]) ).
fof(f14711,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f14465,f272]) ).
fof(f14937,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f2131,f14424]) ).
fof(f14950,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14711,f274]) ).
fof(f14995,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14950,f14711]) ).
fof(f18033,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f14937,f288]) ).
fof(f18069,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f18033,f14937]) ).
fof(f18304,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f1878,f315]) ).
fof(f18315,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| cong(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f18304]) ).
fof(f18316,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| ~ cyclic(X0,X1,X2,X0)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f18315,f18069]) ).
fof(f18329,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f18316,f18069]) ).
fof(f18331,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f18329,f18069]) ).
fof(f19760,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f18331,f328]) ).
fof(f19806,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f19760,f18331]) ).
fof(f21701,plain,
! [X2,X0,X1] :
( ~ coll(sK24,X0,X1)
| para(X2,X2,X0,X1) ),
inference(resolution,[],[f19806,f1539]) ).
fof(f21714,plain,
! [X2,X0,X1] : para(X2,X2,X0,X1),
inference(forward_subsumption_resolution,[],[f21701,f14995]) ).
fof(f23397,plain,
! [X2,X3,X0,X1,X4] :
( para(X0,X1,X2,X3)
| ~ para(X4,X4,X0,X1) ),
inference(resolution,[],[f21714,f2026]) ).
fof(f23416,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f23397,f21714]) ).
fof(f35131,plain,
( ~ para(sK25,sK23,sK22,sK23)
| ~ para(sK23,sK22,sK23,sK26) ),
inference(resolution,[],[f3998,f395]) ).
fof(f35213,plain,
~ para(sK25,sK23,sK22,sK23),
inference(forward_subsumption_resolution,[],[f35131,f23416]) ).
fof(f35241,plain,
$false,
inference(forward_subsumption_resolution,[],[f35213,f23416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO615+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 08:38:19 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 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
% 4.74/1.08 % (2068041)Will run a generic schedule for satisfiability detection.
% 4.74/1.08 % (2068047)% WARNING: option uhcvi not known.
% 4.74/1.08 % (2068046)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1098138648_2999 on theBenchmark for (2999ds/0Mi)
% 4.74/1.08 % (2068048)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3877097584:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.74/1.08 % (2068047)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1843975768:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.74/1.08 % (2068049)dis+10_1_sil=32000:sp=arity:random_seed=3878597231:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.74/1.08 % (2068050)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3609496684:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.74/1.08 % (2068051)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3670294871:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.74/1.08 % (2068052)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1281493868:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.74/1.08 % TRYING [1]
% 4.74/1.08 % TRYING [2]
% 4.74/1.08 % TRYING [3]
% 4.74/1.08 % (2068049)Instruction limit reached!
% 4.74/1.08 % (2068049)------------------------------
% 4.74/1.08 % (2068049)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.74/1.08 % (2068049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.08 % (2068049)CaDiCaL version: 2.1.3
% 4.74/1.08 % (2068049)Termination reason: Instruction limit
% 4.74/1.08 % (2068049)Termination phase: Saturation
% 4.74/1.08 % (2068049)Time elapsed: 0.036 s
% 4.74/1.08 % (2068049)Peak memory usage: 13 MB
% 4.74/1.08 % (2068049)Instructions burned: 104 (million)
% 4.74/1.08 % (2068050)Instruction limit reached!
% 4.74/1.08 % (2068050)------------------------------
% 4.74/1.08 % (2068050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.74/1.08 % (2068050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.08 % (2068050)CaDiCaL version: 2.1.3
% 4.74/1.08 % (2068050)Termination reason: Instruction limit
% 4.74/1.08 % (2068050)Termination phase: Saturation
% 4.74/1.08 % (2068050)Time elapsed: 0.036 s
% 4.74/1.08 % (2068050)Peak memory usage: 13 MB
% 4.74/1.08 % (2068050)Instructions burned: 116 (million)
% 4.74/1.08 % (2068051)Instruction limit reached!
% 4.74/1.08 % (2068051)------------------------------
% 4.74/1.08 % (2068051)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.74/1.08 % (2068051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.08 % (2068051)CaDiCaL version: 2.1.3
% 4.74/1.08 % (2068051)Termination reason: Instruction limit
% 4.74/1.08 % (2068051)Termination phase: Saturation
% 4.74/1.08 % (2068051)Time elapsed: 0.046 s
% 4.74/1.08 % (2068051)Peak memory usage: 14 MB
% 4.74/1.08 % (2068051)Instructions burned: 131 (million)
% 4.74/1.08 % (2068061)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1462786496:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.74/1.08 % (2068060)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2273005889:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.74/1.08 % (2068052)Instruction limit reached!
% 4.74/1.08 % (2068052)------------------------------
% 4.74/1.08 % (2068052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.74/1.08 % (2068052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.08 % (2068052)CaDiCaL version: 2.1.3
% 4.74/1.08 % (2068052)Termination reason: Instruction limit
% 4.74/1.08 % (2068052)Termination phase: Saturation
% 4.74/1.08 % (2068052)Time elapsed: 0.052 s
% 4.74/1.08 % (2068052)Peak memory usage: 15 MB
% 4.74/1.08 % (2068052)Instructions burned: 162 (million)
% 4.74/1.08 % TRYING [1]
% 4.74/1.08 % TRYING [2]
% 4.74/1.08 % (2068062)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=4165096051:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.74/1.08 % (2068065)ott-21_1_sil=16000:fs=off:random_seed=4132624611:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.74/1.08 % TRYING [3]
% 4.74/1.08 % (2068061)Instruction limit reached!
% 4.74/1.08 % (2068061)------------------------------
% 4.74/1.08 % (2068061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.74/1.08 % (2068061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068061)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068061)Termination reason: Instruction limit
% 11.81/2.05 % (2068061)Termination phase: Saturation
% 11.81/2.05 % (2068061)Time elapsed: 0.046 s
% 11.81/2.05 % (2068061)Peak memory usage: 14 MB
% 11.81/2.05 % (2068061)Instructions burned: 132 (million)
% 11.81/2.05 % (2068068)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=713151650:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 11.81/2.05 % (2068065)Instruction limit reached!
% 11.81/2.05 % (2068065)------------------------------
% 11.81/2.05 % (2068065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068065)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068065)Termination reason: Instruction limit
% 11.81/2.05 % (2068065)Termination phase: Saturation
% 11.81/2.05 % (2068065)Time elapsed: 0.051 s
% 11.81/2.05 % (2068065)Peak memory usage: 12 MB
% 11.81/2.05 % (2068065)Instructions burned: 182 (million)
% 11.81/2.05 % (2068070)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=29167125:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 11.81/2.05 % TRYING [1]
% 11.81/2.05 % TRYING [2]
% 11.81/2.05 % TRYING [3]
% 11.81/2.05 % (2068060)Instruction limit reached!
% 11.81/2.05 % (2068060)------------------------------
% 11.81/2.05 % (2068060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068060)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068060)Termination reason: Instruction limit
% 11.81/2.05 % (2068060)Termination phase: Finite model building constraint generation
% 11.81/2.05 % (2068060)Time elapsed: 0.134 s
% 11.81/2.05 % (2068060)Peak memory usage: 24 MB
% 11.81/2.05 % (2068060)Instructions burned: 717 (million)
% 11.81/2.05 % (2068072)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=105685266:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.81/2.05 % (2068068)Instruction limit reached!
% 11.81/2.05 % (2068068)------------------------------
% 11.81/2.05 % (2068068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068068)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068068)Termination reason: Instruction limit
% 11.81/2.05 % (2068068)Termination phase: Saturation
% 11.81/2.05 % (2068068)Time elapsed: 0.144 s
% 11.81/2.05 % (2068068)Peak memory usage: 14 MB
% 11.81/2.05 % (2068068)Instructions burned: 478 (million)
% 11.81/2.05 % (2068074)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3669317645:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 11.81/2.05 % (2068074)Cannot represent all propositional literals internally
% 11.81/2.05 % (2068074)Refutation not found, incomplete strategy
% 11.81/2.05 % (2068074)------------------------------
% 11.81/2.05 % (2068074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068074)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068074)Termination reason: Refutation not found, incomplete strategy
% 11.81/2.05 % (2068074)Time elapsed: 0.003 s
% 11.81/2.05 % (2068074)Peak memory usage: 10 MB
% 11.81/2.05 % (2068074)Instructions burned: 13 (million)
% 11.81/2.05 % (2068074)------------------------------
% 11.81/2.05 % (2068074)------------------------------
% 11.81/2.05 % (2068076)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=3702761416:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2997 on theBenchmark for (2997ds/692Mi)
% 11.81/2.05 % (2068062)Instruction limit reached!
% 11.81/2.05 % (2068062)------------------------------
% 11.81/2.05 % (2068062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068062)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068062)Termination reason: Instruction limit
% 11.81/2.05 % (2068062)Termination phase: Saturation
% 11.81/2.05 % (2068062)Time elapsed: 0.226 s
% 11.81/2.05 % (2068062)Peak memory usage: 19 MB
% 11.81/2.05 % (2068062)Instructions burned: 685 (million)
% 11.81/2.05 % (2068070)Instruction limit reached!
% 11.81/2.05 % (2068070)------------------------------
% 11.81/2.05 % (2068070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068070)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068070)Termination reason: Instruction limit
% 11.81/2.05 % (2068070)Termination phase: Finite model building constraint generation
% 11.81/2.05 % (2068070)Time elapsed: 0.164 s
% 11.81/2.05 % (2068070)Peak memory usage: 50 MB
% 11.81/2.05 % (2068070)Instructions burned: 868 (million)
% 11.81/2.05 % (2068078)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2563498340:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 11.81/2.05 % (2068079)fmb+10_1_sil=64000:random_seed=188074413:i=22061:nm=2:gsp=on_2996 on theBenchmark for (2996ds/22061Mi)
% 11.81/2.05 % TRYING [1]
% 11.81/2.05 % TRYING [2]
% 11.81/2.05 % TRYING [3]
% 11.81/2.05 % (2068076)Instruction limit reached!
% 11.81/2.05 % (2068076)------------------------------
% 11.81/2.05 % (2068076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068076)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068076)Termination reason: Instruction limit
% 11.81/2.05 % (2068076)Termination phase: Saturation
% 11.81/2.05 % (2068076)Time elapsed: 0.251 s
% 11.81/2.05 % (2068076)Peak memory usage: 19 MB
% 11.81/2.05 % (2068076)Instructions burned: 694 (million)
% 11.81/2.05 % (2068082)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2464798473:i=9515:nm=5_2994 on theBenchmark for (2994ds/9515Mi)
% 11.81/2.05 % (2068082)Cannot represent all propositional literals internally
% 11.81/2.05 % (2068082)Refutation not found, incomplete strategy
% 11.81/2.05 % (2068082)------------------------------
% 11.81/2.05 % (2068082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.05 % (2068082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.05 % (2068082)CaDiCaL version: 2.1.3
% 11.81/2.05 % (2068082)Termination reason: Refutation not found, incomplete strategy
% 11.81/2.05 % (2068082)Time elapsed: 0.003 s
% 11.81/2.05 % (2068082)Peak memory usage: 10 MB
% 11.81/2.05 % (2068082)Instructions burned: 13 (million)
% 11.81/2.05 % (2068082)------------------------------
% 11.81/2.05 % (2068082)------------------------------
% 11.81/2.05 % (2068078)Instruction limit reached!
% 11.81/2.05 % (2068078)------------------------------
% 11.81/2.06 % (2068078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068078)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068078)Termination reason: Instruction limit
% 11.81/2.06 % (2068078)Termination phase: Saturation
% 11.81/2.06 % (2068078)Time elapsed: 0.254 s
% 11.81/2.06 % (2068078)Peak memory usage: 18 MB
% 11.81/2.06 % (2068078)Instructions burned: 880 (million)
% 11.81/2.06 % (2068084)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1260112873:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 11.81/2.06 % TRYING [8]
% 11.81/2.06 % (2068085)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3764952767:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 11.81/2.06 % (2068072)Instruction limit reached!
% 11.81/2.06 % (2068072)------------------------------
% 11.81/2.06 % (2068072)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068072)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068072)Termination reason: Instruction limit
% 11.81/2.06 % (2068072)Termination phase: Saturation
% 11.81/2.06 % (2068072)Time elapsed: 0.392 s
% 11.81/2.06 % (2068072)Peak memory usage: 24 MB
% 11.81/2.06 % (2068072)Instructions burned: 1181 (million)
% 11.81/2.06 % (2068088)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=663016878:i=1472:ins=7:fdi=8:gsp=on_2993 on theBenchmark for (2993ds/1472Mi)
% 11.81/2.06 % (2068084)Instruction limit reached!
% 11.81/2.06 % (2068084)------------------------------
% 11.81/2.06 % (2068084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068084)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068084)Termination reason: Instruction limit
% 11.81/2.06 % (2068084)Termination phase: Finite model building constraint generation
% 11.81/2.06 % (2068084)Time elapsed: 0.160 s
% 11.81/2.06 % (2068084)Peak memory usage: 46 MB
% 11.81/2.06 % (2068084)Instructions burned: 926 (million)
% 11.81/2.06 % (2068090)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=343317742:i=6324_2992 on theBenchmark for (2992ds/6324Mi)
% 11.81/2.06 % (2068090)Cannot represent all propositional literals internally
% 11.81/2.06 % (2068090)Refutation not found, incomplete strategy
% 11.81/2.06 % (2068090)------------------------------
% 11.81/2.06 % (2068090)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068090)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068090)Termination reason: Refutation not found, incomplete strategy
% 11.81/2.06 % (2068090)Time elapsed: 0.004 s
% 11.81/2.06 % (2068090)Peak memory usage: 11 MB
% 11.81/2.06 % (2068090)Instructions burned: 16 (million)
% 11.81/2.06 % (2068090)------------------------------
% 11.81/2.06 % (2068090)------------------------------
% 11.81/2.06 % (2068092)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2922054998:fmbsr=2.30978:i=2174_2992 on theBenchmark for (2992ds/2174Mi)
% 11.81/2.06 % (2068092)Cannot represent all propositional literals internally
% 11.81/2.06 % (2068092)Refutation not found, incomplete strategy
% 11.81/2.06 % (2068092)------------------------------
% 11.81/2.06 % (2068092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068092)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068092)Termination reason: Refutation not found, incomplete strategy
% 11.81/2.06 % (2068092)Time elapsed: 0.045 s
% 11.81/2.06 % (2068092)Peak memory usage: 12 MB
% 11.81/2.06 % (2068092)Instructions burned: 167 (million)
% 11.81/2.06 % (2068092)------------------------------
% 11.81/2.06 % (2068092)------------------------------
% 11.81/2.06 % (2068094)ott-2_1_sil=16000:newcnf=on:random_seed=384516810:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2991 on theBenchmark for (2991ds/869Mi)
% 11.81/2.06 % (2068094)Instruction limit reached!
% 11.81/2.06 % (2068094)------------------------------
% 11.81/2.06 % (2068094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068094)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068094)Termination reason: Instruction limit
% 11.81/2.06 % (2068094)Termination phase: Saturation
% 11.81/2.06 % (2068094)Time elapsed: 0.302 s
% 11.81/2.06 % (2068094)Peak memory usage: 19 MB
% 11.81/2.06 % (2068094)Instructions burned: 870 (million)
% 11.81/2.06 % (2068096)ott+10_1_sil=32000:tgt=ground:random_seed=3767632240:i=5114:av=off_2988 on theBenchmark for (2988ds/5114Mi)
% 11.81/2.06 % (2068088)Instruction limit reached!
% 11.81/2.06 % (2068088)------------------------------
% 11.81/2.06 % (2068088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068088)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068088)Termination reason: Instruction limit
% 11.81/2.06 % (2068088)Termination phase: Saturation
% 11.81/2.06 % (2068088)Time elapsed: 0.530 s
% 11.81/2.06 % (2068088)Peak memory usage: 32 MB
% 11.81/2.06 % (2068088)Instructions burned: 1473 (million)
% 11.81/2.06 % (2068098)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=469565858:i=54282_2988 on theBenchmark for (2988ds/54282Mi)
% 11.81/2.06 % TRYING [1]
% 11.81/2.06 % TRYING [2]
% 11.81/2.06 % TRYING [3]
% 11.81/2.06 % (2068096) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2068041-2068096"...
% 11.81/2.06 % (2068096)...printing done.
% 11.81/2.06 % (2068096)Refutation found. Thanks to Tanya!
% 11.81/2.06 % SZS status Theorem for theBenchmark
% 11.81/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 11.81/2.06 % (2068096)------------------------------
% 11.81/2.06 % (2068096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.81/2.06 % (2068096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.81/2.06 % (2068096)CaDiCaL version: 2.1.3
% 11.81/2.06 % (2068096)Termination reason: Refutation
% 11.81/2.06 % (2068096)Time elapsed: 0.557 s
% 11.81/2.06 % (2068096)Peak memory usage: 29 MB
% 11.81/2.06 % (2068096)Instructions burned: 1577 (million)
% 11.81/2.06 % (2068041)Success in time 1.731 s
% 11.81/2.06 % Vampire exiting
%------------------------------------------------------------------------------