%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO634+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 : n015.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 09:54:55 AM UTC 2026
% Result : Theorem 19.61s 3.25s
% Output : Refutation 19.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 119 ( 17 unt; 0 def)
% Number of atoms : 345 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 359 ( 133 ~; 131 |; 72 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 543 ( 519 !; 24 ?)
% 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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) )
=> perp(X8,X9,X5,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110997) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) )
=> perp(X8,X9,X5,X0) ),
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(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ perp(X8,X9,X5,X0)
& circle(X3,X0,X1,X2)
& midp(X4,X2,X1)
& circle(X3,X0,X5,X10)
& coll(X5,X0,X4)
& eqangle(X6,X0,X0,X1,X2,X0,X0,X4)
& circle(X3,X0,X6,X11)
& coll(X7,X1,X2)
& coll(X7,X0,X6)
& perp(X8,X6,X1,X2)
& coll(X8,X1,X2)
& perp(X9,X6,X0,X1)
& coll(X9,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK28,sK29,sK25,sK20)
& circle(sK23,sK20,sK21,sK22)
& midp(sK24,sK22,sK21)
& circle(sK23,sK20,sK25,sK30)
& coll(sK25,sK20,sK24)
& eqangle(sK26,sK20,sK20,sK21,sK22,sK20,sK20,sK24)
& circle(sK23,sK20,sK26,sK31)
& coll(sK27,sK21,sK22)
& coll(sK27,sK20,sK26)
& perp(sK28,sK26,sK21,sK22)
& coll(sK28,sK21,sK22)
& perp(sK29,sK26,sK20,sK21)
& coll(sK29,sK20,sK21) ),
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)],[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(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f385,plain,
perp(sK29,sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f396,plain,
~ perp(sK28,sK29,sK25,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f429,plain,
perp(sK20,sK21,sK29,sK26),
inference(resolution,[],[f278,f385]) ).
fof(f546,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK29,sK26) ),
inference(resolution,[],[f279,f429]) ).
fof(f623,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(f624,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f639,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(f661,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(f1648,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f623,f309]) ).
fof(f1682,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f624,f291]) ).
fof(f1833,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f639,f313]) ).
fof(f1834,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f639,f312]) ).
fof(f1844,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1833,f1834]) ).
fof(f2176,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,[],[f661,f346]) ).
fof(f5176,plain,
para(sK29,sK26,sK29,sK26),
inference(resolution,[],[f546,f385]) ).
fof(f10797,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1648,f5176]) ).
fof(f10799,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10797,f337]) ).
fof(f10804,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10797,f335]) ).
fof(f10829,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10804,f10797]) ).
fof(f10834,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10799,f272]) ).
fof(f10967,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10834,f271]) ).
fof(f11084,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1844,f10797]) ).
fof(f11097,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10967,f273]) ).
fof(f11127,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11097,f10967]) ).
fof(f13597,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11084,f287]) ).
fof(f13629,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f13597,f11084]) ).
fof(f14255,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(resolution,[],[f1682,f314]) ).
fof(f14268,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f14255]) ).
fof(f14269,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14268,f13629]) ).
fof(f14283,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14269,f13629]) ).
fof(f14286,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f14283,f13629]) ).
fof(f14289,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14286,f338]) ).
fof(f14320,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14289,f11127]) ).
fof(f18520,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10829,f14320]) ).
fof(f20856,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2176,f14286]) ).
fof(f20957,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f20856,f18520]) ).
fof(f20967,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f20957,f18520]) ).
fof(f21007,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f20967,f327]) ).
fof(f21091,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f21007,f20967]) ).
fof(f21769,plain,
$false,
inference(resolution,[],[f21091,f396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO634+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:45:00 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 7.62/1.73 % (1353181)Will run a generic schedule for satisfiability detection.
% 7.62/1.73 % (1353188)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=667519703:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.62/1.73 % (1353187)% WARNING: option uhcvi not known.
% 7.62/1.73 % (1353186)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1801542995_2999 on theBenchmark for (2999ds/0Mi)
% 7.62/1.73 % (1353190)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=576967612:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.62/1.73 % (1353187)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3279084544:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.62/1.73 % (1353189)dis+10_1_sil=32000:sp=arity:random_seed=2922337688:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.62/1.73 % (1353191)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1682420551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.62/1.73 % (1353192)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=881743115:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.62/1.73 % TRYING [1]
% 7.62/1.73 % TRYING [2]
% 7.62/1.73 % TRYING [3]
% 7.62/1.73 % (1353189)Instruction limit reached!
% 7.62/1.73 % (1353189)------------------------------
% 7.62/1.73 % (1353189)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.73 % (1353189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.73 % (1353189)CaDiCaL version: 2.1.3
% 7.62/1.73 % (1353189)Termination reason: Instruction limit
% 7.62/1.73 % (1353189)Termination phase: Saturation
% 7.62/1.73 % (1353189)Time elapsed: 0.068 s
% 7.62/1.73 % (1353189)Peak memory usage: 12 MB
% 7.62/1.73 % (1353189)Instructions burned: 106 (million)
% 7.62/1.73 % (1353190)Instruction limit reached!
% 7.62/1.73 % (1353190)------------------------------
% 7.62/1.73 % (1353190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.73 % (1353190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.73 % (1353190)CaDiCaL version: 2.1.3
% 7.62/1.73 % (1353190)Termination reason: Instruction limit
% 7.62/1.73 % (1353190)Termination phase: Saturation
% 7.62/1.73 % (1353190)Time elapsed: 0.069 s
% 7.62/1.73 % (1353190)Peak memory usage: 13 MB
% 7.62/1.73 % (1353190)Instructions burned: 117 (million)
% 7.62/1.73 % (1353191)Instruction limit reached!
% 7.62/1.73 % (1353191)------------------------------
% 7.62/1.73 % (1353191)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.73 % (1353191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.73 % (1353191)CaDiCaL version: 2.1.3
% 7.62/1.73 % (1353191)Termination reason: Instruction limit
% 7.62/1.73 % (1353191)Termination phase: Saturation
% 7.62/1.73 % (1353191)Time elapsed: 0.081 s
% 7.62/1.73 % (1353191)Peak memory usage: 14 MB
% 7.62/1.73 % (1353191)Instructions burned: 132 (million)
% 7.62/1.73 % (1353200)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=533107238:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.62/1.73 % (1353201)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3178688478:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.62/1.73 % (1353192)Instruction limit reached!
% 7.62/1.73 % (1353192)------------------------------
% 7.62/1.73 % (1353192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.73 % (1353192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.73 % (1353192)CaDiCaL version: 2.1.3
% 7.62/1.73 % (1353192)Termination reason: Instruction limit
% 7.62/1.73 % (1353192)Termination phase: Saturation
% 7.62/1.73 % (1353192)Time elapsed: 0.097 s
% 7.62/1.73 % (1353192)Peak memory usage: 14 MB
% 7.62/1.73 % (1353192)Instructions burned: 160 (million)
% 7.62/1.73 % TRYING [1]
% 7.62/1.73 % TRYING [2]
% 7.62/1.73 % (1353202)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=3933937528:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.62/1.73 % (1353205)ott-21_1_sil=16000:fs=off:random_seed=3098056043:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.62/1.73 % TRYING [3]
% 7.62/1.73 % (1353201)Instruction limit reached!
% 7.62/1.73 % (1353201)------------------------------
% 7.62/1.73 % (1353201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.73 % (1353201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.24 % (1353201)CaDiCaL version: 2.1.3
% 19.61/3.24 % (1353201)Termination reason: Instruction limit
% 19.61/3.24 % (1353201)Termination phase: Saturation
% 19.61/3.24 % (1353201)Time elapsed: 0.079 s
% 19.61/3.24 % (1353201)Peak memory usage: 14 MB
% 19.61/3.24 % (1353201)Instructions burned: 132 (million)
% 19.61/3.24 % (1353208)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1207938604:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.61/3.24 % (1353205)Instruction limit reached!
% 19.61/3.24 % (1353205)------------------------------
% 19.61/3.24 % (1353205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.24 % (1353205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.24 % (1353205)CaDiCaL version: 2.1.3
% 19.61/3.24 % (1353205)Termination reason: Instruction limit
% 19.61/3.24 % (1353205)Termination phase: Saturation
% 19.61/3.24 % (1353205)Time elapsed: 0.096 s
% 19.61/3.24 % (1353205)Peak memory usage: 13 MB
% 19.61/3.24 % (1353205)Instructions burned: 181 (million)
% 19.61/3.24 % (1353210)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2450140124:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.61/3.25 % TRYING [1]
% 19.61/3.25 % TRYING [2]
% 19.61/3.25 % TRYING [3]
% 19.61/3.25 % (1353200)Instruction limit reached!
% 19.61/3.25 % (1353200)------------------------------
% 19.61/3.25 % (1353200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353200)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353200)Termination reason: Instruction limit
% 19.61/3.25 % (1353200)Termination phase: Finite model building constraint generation
% 19.61/3.25 % (1353200)Time elapsed: 0.248 s
% 19.61/3.25 % (1353200)Peak memory usage: 25 MB
% 19.61/3.25 % (1353200)Instructions burned: 714 (million)
% 19.61/3.25 % (1353212)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3808417489:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 19.61/3.25 % (1353202)Instruction limit reached!
% 19.61/3.25 % (1353202)------------------------------
% 19.61/3.25 % (1353202)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353202)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353202)Termination reason: Instruction limit
% 19.61/3.25 % (1353202)Termination phase: Saturation
% 19.61/3.25 % (1353202)Time elapsed: 0.352 s
% 19.61/3.25 % (1353202)Peak memory usage: 17 MB
% 19.61/3.25 % (1353202)Instructions burned: 685 (million)
% 19.61/3.25 % (1353214)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=700603490:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 19.61/3.25 % (1353214)Cannot represent all propositional literals internally
% 19.61/3.25 % (1353214)Refutation not found, incomplete strategy
% 19.61/3.25 % (1353214)------------------------------
% 19.61/3.25 % (1353214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353214)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353214)Termination reason: Refutation not found, incomplete strategy
% 19.61/3.25 % (1353214)Time elapsed: 0.007 s
% 19.61/3.25 % (1353214)Peak memory usage: 10 MB
% 19.61/3.25 % (1353214)Instructions burned: 13 (million)
% 19.61/3.25 % (1353214)------------------------------
% 19.61/3.25 % (1353214)------------------------------
% 19.61/3.25 % (1353208)Instruction limit reached!
% 19.61/3.25 % (1353208)------------------------------
% 19.61/3.25 % (1353208)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353208)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353208)Termination reason: Instruction limit
% 19.61/3.25 % (1353208)Termination phase: Saturation
% 19.61/3.25 % (1353208)Time elapsed: 0.307 s
% 19.61/3.25 % (1353208)Peak memory usage: 15 MB
% 19.61/3.25 % (1353208)Instructions burned: 477 (million)
% 19.61/3.25 % (1353216)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=892507223: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)
% 19.61/3.25 % (1353217)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=513427442:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 19.61/3.25 % (1353210)Instruction limit reached!
% 19.61/3.25 % (1353210)------------------------------
% 19.61/3.25 % (1353210)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353210)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353210)Termination reason: Instruction limit
% 19.61/3.25 % (1353210)Termination phase: Finite model building constraint generation
% 19.61/3.25 % (1353210)Time elapsed: 0.300 s
% 19.61/3.25 % (1353210)Peak memory usage: 50 MB
% 19.61/3.25 % (1353210)Instructions burned: 867 (million)
% 19.61/3.25 % (1353220)fmb+10_1_sil=64000:random_seed=2740299511:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 19.61/3.25 % TRYING [1]
% 19.61/3.25 % TRYING [2]
% 19.61/3.25 % TRYING [3]
% 19.61/3.25 % (1353216)Instruction limit reached!
% 19.61/3.25 % (1353216)------------------------------
% 19.61/3.25 % (1353216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353216)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353216)Termination reason: Instruction limit
% 19.61/3.25 % (1353216)Termination phase: Saturation
% 19.61/3.25 % (1353216)Time elapsed: 0.393 s
% 19.61/3.25 % (1353216)Peak memory usage: 20 MB
% 19.61/3.25 % (1353216)Instructions burned: 693 (million)
% 19.61/3.25 % (1353222)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2866791825:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.61/3.25 % (1353222)Cannot represent all propositional literals internally
% 19.61/3.25 % (1353222)Refutation not found, incomplete strategy
% 19.61/3.25 % (1353222)------------------------------
% 19.61/3.25 % (1353222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353222)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353222)Termination reason: Refutation not found, incomplete strategy
% 19.61/3.25 % (1353222)Time elapsed: 0.007 s
% 19.61/3.25 % (1353222)Peak memory usage: 10 MB
% 19.61/3.25 % (1353222)Instructions burned: 13 (million)
% 19.61/3.25 % (1353222)------------------------------
% 19.61/3.25 % (1353222)------------------------------
% 19.61/3.25 % (1353224)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1495576659:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 19.61/3.25 % TRYING [8]
% 19.61/3.25 % (1353217)Instruction limit reached!
% 19.61/3.25 % (1353217)------------------------------
% 19.61/3.25 % (1353217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353217)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353217)Termination reason: Instruction limit
% 19.61/3.25 % (1353217)Termination phase: Saturation
% 19.61/3.25 % (1353217)Time elapsed: 0.472 s
% 19.61/3.25 % (1353217)Peak memory usage: 18 MB
% 19.61/3.25 % (1353217)Instructions burned: 880 (million)
% 19.61/3.25 % (1353226)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3738281348:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 19.61/3.25 % (1353212)Instruction limit reached!
% 19.61/3.25 % (1353212)------------------------------
% 19.61/3.25 % (1353212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353212)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353212)Termination reason: Instruction limit
% 19.61/3.25 % (1353212)Termination phase: Saturation
% 19.61/3.25 % (1353212)Time elapsed: 0.727 s
% 19.61/3.25 % (1353212)Peak memory usage: 24 MB
% 19.61/3.25 % (1353212)Instructions burned: 1180 (million)
% 19.61/3.25 % (1353228)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4219880600:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 19.61/3.25 % (1353224)Instruction limit reached!
% 19.61/3.25 % (1353224)------------------------------
% 19.61/3.25 % (1353224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353224)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353224)Termination reason: Instruction limit
% 19.61/3.25 % (1353224)Termination phase: Finite model building constraint generation
% 19.61/3.25 % (1353224)Time elapsed: 0.294 s
% 19.61/3.25 % (1353224)Peak memory usage: 46 MB
% 19.61/3.25 % (1353224)Instructions burned: 922 (million)
% 19.61/3.25 % (1353230)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2631364542:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 19.61/3.25 % (1353230)Cannot represent all propositional literals internally
% 19.61/3.25 % (1353230)Refutation not found, incomplete strategy
% 19.61/3.25 % (1353230)------------------------------
% 19.61/3.25 % (1353230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353230)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353230)Termination reason: Refutation not found, incomplete strategy
% 19.61/3.25 % (1353230)Time elapsed: 0.008 s
% 19.61/3.25 % (1353230)Peak memory usage: 11 MB
% 19.61/3.25 % (1353230)Instructions burned: 16 (million)
% 19.61/3.25 % (1353230)------------------------------
% 19.61/3.25 % (1353230)------------------------------
% 19.61/3.25 % (1353232)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2787313516:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 19.61/3.25 % (1353232)Cannot represent all propositional literals internally
% 19.61/3.25 % (1353232)Refutation not found, incomplete strategy
% 19.61/3.25 % (1353232)------------------------------
% 19.61/3.25 % (1353232)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353232)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353232)Termination reason: Refutation not found, incomplete strategy
% 19.61/3.25 % (1353232)Time elapsed: 0.083 s
% 19.61/3.25 % (1353232)Peak memory usage: 12 MB
% 19.61/3.25 % (1353232)Instructions burned: 166 (million)
% 19.61/3.25 % (1353232)------------------------------
% 19.61/3.25 % (1353232)------------------------------
% 19.61/3.25 % (1353234)ott-2_1_sil=16000:newcnf=on:random_seed=512227198:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 19.61/3.25 % TRYING [4]
% 19.61/3.25 % (1353234)Instruction limit reached!
% 19.61/3.25 % (1353234)------------------------------
% 19.61/3.25 % (1353234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353234)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353234)Termination reason: Instruction limit
% 19.61/3.25 % (1353234)Termination phase: Saturation
% 19.61/3.25 % (1353234)Time elapsed: 0.563 s
% 19.61/3.25 % (1353234)Peak memory usage: 17 MB
% 19.61/3.25 % (1353234)Instructions burned: 869 (million)
% 19.61/3.25 % (1353236)ott+10_1_sil=32000:tgt=ground:random_seed=1049067584:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 19.61/3.25 % (1353228)Instruction limit reached!
% 19.61/3.25 % (1353228)------------------------------
% 19.61/3.25 % (1353228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353228)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353228)Termination reason: Instruction limit
% 19.61/3.25 % (1353228)Termination phase: Saturation
% 19.61/3.25 % (1353228)Time elapsed: 0.962 s
% 19.61/3.25 % (1353228)Peak memory usage: 34 MB
% 19.61/3.25 % (1353228)Instructions burned: 1473 (million)
% 19.61/3.25 % (1353238)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1722272478:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 19.61/3.25 % TRYING [1]
% 19.61/3.25 % TRYING [2]
% 19.61/3.25 % TRYING [3]
% 19.61/3.25 % (1353236) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1353181-1353236"...
% 19.61/3.25 % (1353236)...printing done.
% 19.61/3.25 % (1353236)Refutation found. Thanks to Tanya!
% 19.61/3.25 % SZS status Theorem for theBenchmark
% 19.61/3.25 % SZS output start Proof for theBenchmark
% See solution above
% 19.61/3.25 % (1353236)------------------------------
% 19.61/3.25 % (1353236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.61/3.25 % (1353236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.61/3.25 % (1353236)CaDiCaL version: 2.1.3
% 19.61/3.25 % (1353236)Termination reason: Refutation
% 19.61/3.25 % (1353236)Time elapsed: 0.749 s
% 19.61/3.25 % (1353236)Peak memory usage: 25 MB
% 19.61/3.25 % (1353236)Instructions burned: 1183 (million)
% 19.61/3.25 % (1353181)Success in time 2.818 s
% 19.61/3.25 % Vampire exiting
%------------------------------------------------------------------------------