%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO660+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 : n009.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 09:54:59 AM UTC 2026
% Result : Theorem 19.69s 3.29s
% Output : Refutation 19.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 25
% Syntax : Number of formulae : 142 ( 26 unt; 0 def)
% Number of atoms : 369 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 373 ( 146 ~; 144 |; 57 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 599 ( 585 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) )
=> para(X4,X5,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) )
=> para(X4,X5,X2,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(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(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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
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(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
fof(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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] :
( ~ para(X4,X5,X2,X1)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X4,X5,X2,X1)
& perp(X2,X0,X2,X1)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& coll(X4,X2,X3)
& coll(X5,X0,X1)
& eqangle(X1,X0,X0,X4,X4,X0,X0,X2)
& eqangle(X3,X2,X2,X5,X5,X2,X2,X1)
& coll(X6,X1,X2)
& coll(X6,X0,X4) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK24,sK25,sK22,sK21)
& perp(sK22,sK20,sK22,sK21)
& perp(sK23,sK22,sK20,sK21)
& coll(sK23,sK20,sK21)
& coll(sK24,sK22,sK23)
& coll(sK25,sK20,sK21)
& eqangle(sK21,sK20,sK20,sK24,sK24,sK20,sK20,sK22)
& eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& coll(sK26,sK21,sK22)
& coll(sK26,sK20,sK24) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(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(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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,
eqangle(sK23,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
perp(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK24,sK25,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f422,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[],[f278,f391]) ).
fof(f499,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f532,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK22)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f391]) ).
fof(f612,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(f619,plain,
eqangle(sK25,sK22,sK22,sK21,sK23,sK22,sK22,sK25),
inference(resolution,[],[f290,f386]) ).
fof(f623,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f629,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(f651,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(f966,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,sK23,sK22,sK22,sK25)
| eqangle(X0,X1,X2,X3,sK25,sK22,sK22,sK21) ),
inference(resolution,[],[f292,f386]) ).
fof(f1044,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(f1050,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,[],[f1044]) ).
fof(f1201,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f532,f422]) ).
fof(f1248,plain,
eqangle(sK25,sK22,sK22,sK21,sK25,sK22,sK22,sK21),
inference(resolution,[],[f966,f619]) ).
fof(f1502,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f612,f309]) ).
fof(f1647,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f623,f309]) ).
fof(f1691,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f629,f313]) ).
fof(f1692,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f629,f312]) ).
fof(f1702,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1691,f1692]) ).
fof(f2046,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,[],[f651,f346]) ).
fof(f5212,plain,
para(sK25,sK22,sK25,sK22),
inference(resolution,[],[f1248,f309]) ).
fof(f10330,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1502,f5212]) ).
fof(f10332,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10330,f337]) ).
fof(f10337,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10330,f335]) ).
fof(f10354,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10337,f10330]) ).
fof(f10359,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10332,f272]) ).
fof(f10591,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10359,f271]) ).
fof(f10806,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1702,f10330]) ).
fof(f10807,plain,
! [X0] : cyclic(sK21,sK21,sK20,X0),
inference(resolution,[],[f1702,f1201]) ).
fof(f10819,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10591,f273]) ).
fof(f10860,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10819,f10591]) ).
fof(f13145,plain,
( ~ cyclic(sK21,sK21,sK20,sK21)
| ~ cyclic(sK21,sK21,sK20,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(resolution,[],[f10807,f1050]) ).
fof(f13153,plain,
( ~ cyclic(sK21,sK21,sK20,sK21)
| cong(sK21,sK21,sK21,sK21) ),
inference(duplicate_literal_removal,[],[f13145]) ).
fof(f13154,plain,
cong(sK21,sK21,sK21,sK21),
inference(forward_subsumption_resolution,[],[f13153,f10806]) ).
fof(f14249,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f10806,f1050]) ).
fof(f14263,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f14249]) ).
fof(f14265,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14263,f10806]) ).
fof(f16292,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14265,f338]) ).
fof(f16332,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16292,f10860]) ).
fof(f17930,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10354,f16332]) ).
fof(f21508,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21)
| ~ midp(X1,sK21,sK21) ),
inference(resolution,[],[f2046,f13154]) ).
fof(f21530,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| cong(X1,sK21,X0,sK21) ),
inference(forward_subsumption_resolution,[],[f21508,f17930]) ).
fof(f21539,plain,
! [X0,X1] : cong(X1,sK21,X0,sK21),
inference(forward_subsumption_resolution,[],[f21530,f17930]) ).
fof(f21704,plain,
! [X0,X1] : cong(X0,sK21,sK21,X1),
inference(resolution,[],[f21539,f293]) ).
fof(f22026,plain,
! [X0] : para(sK21,X0,sK21,sK21),
inference(resolution,[],[f21704,f1647]) ).
fof(f22027,plain,
! [X0] : para(sK21,sK21,sK21,X0),
inference(resolution,[],[f21704,f499]) ).
fof(f22454,plain,
! [X0,X1] :
( ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK21,sK21,X1)
| midp(X0,sK21,X1) ),
inference(resolution,[],[f22026,f335]) ).
fof(f22460,plain,
! [X0,X1] :
( ~ para(sK21,sK21,sK21,X1)
| midp(X0,sK21,X1) ),
inference(forward_subsumption_resolution,[],[f22454,f17930]) ).
fof(f22462,plain,
! [X0,X1] : midp(X0,sK21,X1),
inference(forward_subsumption_resolution,[],[f22460,f22027]) ).
fof(f22512,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK21,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f22462,f315]) ).
fof(f22538,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f22512,f22462]) ).
fof(f27787,plain,
$false,
inference(resolution,[],[f22538,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO660+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:45:00 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 8.47/1.77 % (1725386)Will run a generic schedule for satisfiability detection.
% 8.47/1.77 % (1725393)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2568591032:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.47/1.77 % (1725392)% WARNING: option uhcvi not known.
% 8.47/1.77 % (1725391)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=804529826_2999 on theBenchmark for (2999ds/0Mi)
% 8.47/1.77 % (1725392)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3882605506:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.47/1.77 % (1725394)dis+10_1_sil=32000:sp=arity:random_seed=3604467752:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.47/1.77 % (1725395)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3543216621:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.47/1.77 % (1725397)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2369082235:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.47/1.77 % (1725396)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1640111172:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.47/1.77 % TRYING [1]
% 8.47/1.77 % TRYING [2]
% 8.47/1.77 % TRYING [3]
% 8.47/1.77 % (1725394)Instruction limit reached!
% 8.47/1.77 % (1725394)------------------------------
% 8.47/1.77 % (1725394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.77 % (1725394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.77 % (1725394)CaDiCaL version: 2.1.3
% 8.47/1.77 % (1725394)Termination reason: Instruction limit
% 8.47/1.77 % (1725394)Termination phase: Saturation
% 8.47/1.77 % (1725394)Time elapsed: 0.068 s
% 8.47/1.77 % (1725394)Peak memory usage: 12 MB
% 8.47/1.77 % (1725394)Instructions burned: 103 (million)
% 8.47/1.77 % (1725395)Instruction limit reached!
% 8.47/1.77 % (1725395)------------------------------
% 8.47/1.77 % (1725395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.77 % (1725395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.77 % (1725395)CaDiCaL version: 2.1.3
% 8.47/1.77 % (1725395)Termination reason: Instruction limit
% 8.47/1.77 % (1725395)Termination phase: Saturation
% 8.47/1.77 % (1725395)Time elapsed: 0.070 s
% 8.47/1.77 % (1725395)Peak memory usage: 13 MB
% 8.47/1.77 % (1725395)Instructions burned: 117 (million)
% 8.47/1.77 % (1725396)Instruction limit reached!
% 8.47/1.77 % (1725396)------------------------------
% 8.47/1.77 % (1725396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.77 % (1725396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.77 % (1725396)CaDiCaL version: 2.1.3
% 8.47/1.77 % (1725396)Termination reason: Instruction limit
% 8.47/1.77 % (1725396)Termination phase: Saturation
% 8.47/1.77 % (1725396)Time elapsed: 0.084 s
% 8.47/1.77 % (1725396)Peak memory usage: 14 MB
% 8.47/1.77 % (1725396)Instructions burned: 132 (million)
% 8.47/1.77 % (1725405)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2036146890:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.47/1.77 % (1725397)Instruction limit reached!
% 8.47/1.77 % (1725397)------------------------------
% 8.47/1.77 % (1725397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.77 % (1725397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.47/1.77 % (1725397)CaDiCaL version: 2.1.3
% 8.47/1.77 % (1725397)Termination reason: Instruction limit
% 8.47/1.77 % (1725397)Termination phase: Saturation
% 8.47/1.77 % (1725397)Time elapsed: 0.088 s
% 8.47/1.77 % (1725397)Peak memory usage: 13 MB
% 8.47/1.77 % (1725397)Instructions burned: 159 (million)
% 8.47/1.77 % (1725406)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3847539293:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.47/1.77 % TRYING [1]
% 8.47/1.77 % TRYING [2]
% 8.47/1.77 % (1725407)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=3276895894:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.47/1.77 % (1725410)ott-21_1_sil=16000:fs=off:random_seed=2222836912:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.47/1.77 % TRYING [3]
% 8.47/1.77 % (1725406)Instruction limit reached!
% 8.47/1.77 % (1725406)------------------------------
% 8.47/1.77 % (1725406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.47/1.77 % (1725406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725406)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725406)Termination reason: Instruction limit
% 19.69/3.29 % (1725406)Termination phase: Saturation
% 19.69/3.29 % (1725406)Time elapsed: 0.082 s
% 19.69/3.29 % (1725406)Peak memory usage: 14 MB
% 19.69/3.29 % (1725406)Instructions burned: 131 (million)
% 19.69/3.29 % (1725413)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3010073559:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.69/3.29 % (1725410)Instruction limit reached!
% 19.69/3.29 % (1725410)------------------------------
% 19.69/3.29 % (1725410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725410)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725410)Termination reason: Instruction limit
% 19.69/3.29 % (1725410)Termination phase: Saturation
% 19.69/3.29 % (1725410)Time elapsed: 0.094 s
% 19.69/3.29 % (1725410)Peak memory usage: 13 MB
% 19.69/3.29 % (1725410)Instructions burned: 181 (million)
% 19.69/3.29 % (1725415)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=620474766:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.69/3.29 % TRYING [1]
% 19.69/3.29 % TRYING [2]
% 19.69/3.29 % TRYING [3]
% 19.69/3.29 % (1725405)Instruction limit reached!
% 19.69/3.29 % (1725405)------------------------------
% 19.69/3.29 % (1725405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725405)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725405)Termination reason: Instruction limit
% 19.69/3.29 % (1725405)Termination phase: Finite model building constraint generation
% 19.69/3.29 % (1725405)Time elapsed: 0.251 s
% 19.69/3.29 % (1725405)Peak memory usage: 24 MB
% 19.69/3.29 % (1725405)Instructions burned: 714 (million)
% 19.69/3.29 % (1725417)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4110313202:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 19.69/3.29 % (1725413)Instruction limit reached!
% 19.69/3.29 % (1725413)------------------------------
% 19.69/3.29 % (1725413)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725413)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725413)Termination reason: Instruction limit
% 19.69/3.29 % (1725413)Termination phase: Saturation
% 19.69/3.29 % (1725413)Time elapsed: 0.275 s
% 19.69/3.29 % (1725413)Peak memory usage: 14 MB
% 19.69/3.29 % (1725413)Instructions burned: 478 (million)
% 19.69/3.29 % (1725419)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3234066556:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 19.69/3.29 % (1725419)Cannot represent all propositional literals internally
% 19.69/3.29 % (1725419)Refutation not found, incomplete strategy
% 19.69/3.29 % (1725419)------------------------------
% 19.69/3.29 % (1725419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725419)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725419)Termination reason: Refutation not found, incomplete strategy
% 19.69/3.29 % (1725419)Time elapsed: 0.007 s
% 19.69/3.29 % (1725419)Peak memory usage: 10 MB
% 19.69/3.29 % (1725419)Instructions burned: 13 (million)
% 19.69/3.29 % (1725419)------------------------------
% 19.69/3.29 % (1725419)------------------------------
% 19.69/3.29 % (1725421)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=3231071151: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)
% 19.69/3.29 % (1725415)Instruction limit reached!
% 19.69/3.29 % (1725415)------------------------------
% 19.69/3.29 % (1725415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725415)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725415)Termination reason: Instruction limit
% 19.69/3.29 % (1725415)Termination phase: Finite model building constraint generation
% 19.69/3.29 % (1725415)Time elapsed: 0.301 s
% 19.69/3.29 % (1725415)Peak memory usage: 50 MB
% 19.69/3.29 % (1725415)Instructions burned: 867 (million)
% 19.69/3.29 % (1725407)Instruction limit reached!
% 19.69/3.29 % (1725407)------------------------------
% 19.69/3.29 % (1725407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725407)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725407)Termination reason: Instruction limit
% 19.69/3.29 % (1725407)Termination phase: Saturation
% 19.69/3.29 % (1725407)Time elapsed: 0.434 s
% 19.69/3.29 % (1725407)Peak memory usage: 18 MB
% 19.69/3.29 % (1725407)Instructions burned: 685 (million)
% 19.69/3.29 % (1725423)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3166442173:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 19.69/3.29 % (1725424)fmb+10_1_sil=64000:random_seed=2664524761:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 19.69/3.29 % TRYING [1]
% 19.69/3.29 % TRYING [2]
% 19.69/3.29 % TRYING [3]
% 19.69/3.29 % (1725421)Instruction limit reached!
% 19.69/3.29 % (1725421)------------------------------
% 19.69/3.29 % (1725421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725421)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725421)Termination reason: Instruction limit
% 19.69/3.29 % (1725421)Termination phase: Saturation
% 19.69/3.29 % (1725421)Time elapsed: 0.444 s
% 19.69/3.29 % (1725421)Peak memory usage: 25 MB
% 19.69/3.29 % (1725421)Instructions burned: 693 (million)
% 19.69/3.29 % (1725427)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1454620037:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.69/3.29 % (1725427)Cannot represent all propositional literals internally
% 19.69/3.29 % (1725427)Refutation not found, incomplete strategy
% 19.69/3.29 % (1725427)------------------------------
% 19.69/3.29 % (1725427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725427)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725427)Termination reason: Refutation not found, incomplete strategy
% 19.69/3.29 % (1725427)Time elapsed: 0.006 s
% 19.69/3.29 % (1725427)Peak memory usage: 10 MB
% 19.69/3.29 % (1725427)Instructions burned: 13 (million)
% 19.69/3.29 % (1725427)------------------------------
% 19.69/3.29 % (1725427)------------------------------
% 19.69/3.29 % (1725429)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3997024005:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 19.69/3.29 % TRYING [8]
% 19.69/3.29 % (1725423)Instruction limit reached!
% 19.69/3.29 % (1725423)------------------------------
% 19.69/3.29 % (1725423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725423)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725423)Termination reason: Instruction limit
% 19.69/3.29 % (1725423)Termination phase: Saturation
% 19.69/3.29 % (1725423)Time elapsed: 0.494 s
% 19.69/3.29 % (1725423)Peak memory usage: 17 MB
% 19.69/3.29 % (1725423)Instructions burned: 880 (million)
% 19.69/3.29 % (1725431)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2185924208:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 19.69/3.29 % (1725417)Instruction limit reached!
% 19.69/3.29 % (1725417)------------------------------
% 19.69/3.29 % (1725417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725417)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725417)Termination reason: Instruction limit
% 19.69/3.29 % (1725417)Termination phase: Saturation
% 19.69/3.29 % (1725417)Time elapsed: 0.719 s
% 19.69/3.29 % (1725417)Peak memory usage: 22 MB
% 19.69/3.29 % (1725417)Instructions burned: 1180 (million)
% 19.69/3.29 % (1725433)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2462011027:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 19.69/3.29 % (1725429)Instruction limit reached!
% 19.69/3.29 % (1725429)------------------------------
% 19.69/3.29 % (1725429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725429)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725429)Termination reason: Instruction limit
% 19.69/3.29 % (1725429)Termination phase: Finite model building constraint generation
% 19.69/3.29 % (1725429)Time elapsed: 0.287 s
% 19.69/3.29 % (1725429)Peak memory usage: 45 MB
% 19.69/3.29 % (1725429)Instructions burned: 920 (million)
% 19.69/3.29 % (1725435)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2484933464:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 19.69/3.29 % (1725435)Cannot represent all propositional literals internally
% 19.69/3.29 % (1725435)Refutation not found, incomplete strategy
% 19.69/3.29 % (1725435)------------------------------
% 19.69/3.29 % (1725435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725435)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725435)Termination reason: Refutation not found, incomplete strategy
% 19.69/3.29 % (1725435)Time elapsed: 0.008 s
% 19.69/3.29 % (1725435)Peak memory usage: 11 MB
% 19.69/3.29 % (1725435)Instructions burned: 16 (million)
% 19.69/3.29 % (1725435)------------------------------
% 19.69/3.29 % (1725435)------------------------------
% 19.69/3.29 % (1725437)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1353151748:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 19.69/3.29 % (1725437)Cannot represent all propositional literals internally
% 19.69/3.29 % (1725437)Refutation not found, incomplete strategy
% 19.69/3.29 % (1725437)------------------------------
% 19.69/3.29 % (1725437)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725437)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725437)Termination reason: Refutation not found, incomplete strategy
% 19.69/3.29 % (1725437)Time elapsed: 0.082 s
% 19.69/3.29 % (1725437)Peak memory usage: 12 MB
% 19.69/3.29 % (1725437)Instructions burned: 166 (million)
% 19.69/3.29 % (1725437)------------------------------
% 19.69/3.29 % (1725437)------------------------------
% 19.69/3.29 % (1725439)ott-2_1_sil=16000:newcnf=on:random_seed=4169912086:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 19.69/3.29 % (1725439)Instruction limit reached!
% 19.69/3.29 % (1725439)------------------------------
% 19.69/3.29 % (1725439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725439)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725439)Termination reason: Instruction limit
% 19.69/3.29 % (1725439)Termination phase: Saturation
% 19.69/3.29 % (1725439)Time elapsed: 0.579 s
% 19.69/3.29 % (1725439)Peak memory usage: 17 MB
% 19.69/3.29 % (1725439)Instructions burned: 869 (million)
% 19.69/3.29 % (1725441)ott+10_1_sil=32000:tgt=ground:random_seed=1423120845:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 19.69/3.29 % (1725433)Instruction limit reached!
% 19.69/3.29 % (1725433)------------------------------
% 19.69/3.29 % (1725433)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725433)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725433)Termination reason: Instruction limit
% 19.69/3.29 % (1725433)Termination phase: Saturation
% 19.69/3.29 % (1725433)Time elapsed: 0.987 s
% 19.69/3.29 % (1725433)Peak memory usage: 35 MB
% 19.69/3.29 % (1725433)Instructions burned: 1473 (million)
% 19.69/3.29 % (1725443)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2954613602:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 19.69/3.29 % TRYING [1]
% 19.69/3.29 % TRYING [2]
% 19.69/3.29 % TRYING [3]
% 19.69/3.29 % (1725441) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1725386-1725441"...
% 19.69/3.29 % (1725441)...printing done.
% 19.69/3.29 % (1725441)Refutation found. Thanks to Tanya!
% 19.69/3.29 % SZS status Theorem for theBenchmark
% 19.69/3.29 % SZS output start Proof for theBenchmark
% See solution above
% 19.69/3.29 % (1725441)------------------------------
% 19.69/3.29 % (1725441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.69/3.29 % (1725441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.69/3.29 % (1725441)CaDiCaL version: 2.1.3
% 19.69/3.29 % (1725441)Termination reason: Refutation
% 19.69/3.29 % (1725441)Time elapsed: 0.746 s
% 19.69/3.29 % (1725441)Peak memory usage: 24 MB
% 19.69/3.29 % (1725441)Instructions burned: 1150 (million)
% 19.69/3.29 % (1725386)Success in time 2.874 s
% 19.69/3.29 % Vampire exiting
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