%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO638+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:55 AM UTC 2026
% Result : Theorem 19.70s 3.27s
% Output : Refutation 19.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 22
% Syntax : Number of formulae : 119 ( 17 unt; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 344 ( 133 ~; 131 |; 57 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 539 ( 517 !; 22 ?)
% 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] :
( ( midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) )
=> perp(X5,X7,X4,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) )
=> perp(X5,X7,X4,X7) ),
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] :
( ~ perp(X5,X7,X4,X7)
& midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ perp(X5,X7,X4,X7)
& midp(X2,X0,X1)
& circle(X2,X0,X8,X9)
& circle(X2,X0,X3,X10)
& perp(X2,X3,X3,X4)
& para(X0,X4,X5,X1)
& coll(X5,X3,X4)
& midp(X6,X5,X4)
& perp(X7,X6,X0,X1)
& coll(X7,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK25,sK27,sK24,sK27)
& midp(sK22,sK20,sK21)
& circle(sK22,sK20,sK28,sK29)
& circle(sK22,sK20,sK23,sK30)
& perp(sK22,sK23,sK23,sK24)
& para(sK20,sK24,sK25,sK21)
& coll(sK25,sK23,sK24)
& midp(sK26,sK25,sK24)
& perp(sK27,sK26,sK20,sK21)
& coll(sK27,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[f250]) ).
fof(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(sK27,sK26,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ perp(sK25,sK27,sK24,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f422,plain,
perp(sK20,sK21,sK27,sK26),
inference(resolution,[],[f278,f385]) ).
fof(f535,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK27,sK26) ),
inference(resolution,[],[f279,f422]) ).
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(f637,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(f659,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(f1599,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f623,f309]) ).
fof(f1634,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f624,f291]) ).
fof(f1786,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f637,f313]) ).
fof(f1787,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f637,f312]) ).
fof(f1797,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1786,f1787]) ).
fof(f2142,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,[],[f659,f346]) ).
fof(f5426,plain,
para(sK27,sK26,sK27,sK26),
inference(resolution,[],[f535,f385]) ).
fof(f10102,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1599,f5426]) ).
fof(f10104,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10102,f337]) ).
fof(f10109,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10102,f335]) ).
fof(f10142,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10109,f10102]) ).
fof(f10148,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10104,f272]) ).
fof(f10281,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10148,f271]) ).
fof(f10395,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1797,f10102]) ).
fof(f10413,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10281,f273]) ).
fof(f10441,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f10413,f10281]) ).
fof(f13054,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f10395,f287]) ).
fof(f13084,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f13054,f10395]) ).
fof(f13348,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,[],[f1634,f314]) ).
fof(f13361,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,[],[f13348]) ).
fof(f13362,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f13361,f13084]) ).
fof(f13374,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f13362,f13084]) ).
fof(f13377,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f13374,f13084]) ).
fof(f13380,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f13377,f338]) ).
fof(f13412,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f13380,f10441]) ).
fof(f18646,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10142,f13412]) ).
fof(f20719,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2142,f13377]) ).
fof(f20821,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f20719,f18646]) ).
fof(f20832,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f20821,f18646]) ).
fof(f20930,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) ),
inference(resolution,[],[f20832,f327]) ).
fof(f20996,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f20930,f20832]) ).
fof(f21475,plain,
$false,
inference(resolution,[],[f20996,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO638+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 08:39:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 8.42/1.76 % (1110921)Will run a generic schedule for satisfiability detection.
% 8.42/1.76 % (1110926)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=428624633_2999 on theBenchmark for (2999ds/0Mi)
% 8.42/1.76 % (1110927)% WARNING: option uhcvi not known.
% 8.42/1.76 % TRYING [1]
% 8.42/1.76 % TRYING [2]
% 8.42/1.76 % (1110927)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=103962310:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.42/1.76 % (1110928)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2912459548:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.42/1.76 % (1110929)dis+10_1_sil=32000:sp=arity:random_seed=4091375054:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.42/1.76 % (1110930)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3530606901:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.42/1.76 % (1110932)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2782938537:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.42/1.76 % (1110931)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1200402551:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.42/1.76 % TRYING [3]
% 8.42/1.76 % (1110929)Instruction limit reached!
% 8.42/1.76 % (1110929)------------------------------
% 8.42/1.76 % (1110929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.76 % (1110929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.76 % (1110929)CaDiCaL version: 2.1.3
% 8.42/1.76 % (1110929)Termination reason: Instruction limit
% 8.42/1.76 % (1110929)Termination phase: Saturation
% 8.42/1.76 % (1110929)Time elapsed: 0.069 s
% 8.42/1.76 % (1110929)Peak memory usage: 13 MB
% 8.42/1.76 % (1110929)Instructions burned: 104 (million)
% 8.42/1.76 % (1110930)Instruction limit reached!
% 8.42/1.76 % (1110930)------------------------------
% 8.42/1.76 % (1110930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.76 % (1110930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.76 % (1110930)CaDiCaL version: 2.1.3
% 8.42/1.76 % (1110930)Termination reason: Instruction limit
% 8.42/1.76 % (1110930)Termination phase: Saturation
% 8.42/1.76 % (1110930)Time elapsed: 0.070 s
% 8.42/1.76 % (1110930)Peak memory usage: 13 MB
% 8.42/1.76 % (1110930)Instructions burned: 116 (million)
% 8.42/1.76 % (1110931)Instruction limit reached!
% 8.42/1.76 % (1110931)------------------------------
% 8.42/1.76 % (1110931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.76 % (1110931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.76 % (1110931)CaDiCaL version: 2.1.3
% 8.42/1.76 % (1110931)Termination reason: Instruction limit
% 8.42/1.76 % (1110931)Termination phase: Saturation
% 8.42/1.76 % (1110931)Time elapsed: 0.083 s
% 8.42/1.76 % (1110931)Peak memory usage: 14 MB
% 8.42/1.76 % (1110931)Instructions burned: 132 (million)
% 8.42/1.76 % (1110941)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3247401761:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.42/1.76 % (1110940)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3482240160:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.42/1.76 % (1110932)Instruction limit reached!
% 8.42/1.76 % (1110932)------------------------------
% 8.42/1.76 % (1110932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.77 % (1110932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.77 % (1110932)CaDiCaL version: 2.1.3
% 8.42/1.77 % (1110932)Termination reason: Instruction limit
% 8.42/1.77 % (1110932)Termination phase: Saturation
% 8.42/1.77 % (1110932)Time elapsed: 0.098 s
% 8.42/1.77 % (1110932)Peak memory usage: 14 MB
% 8.42/1.77 % (1110932)Instructions burned: 160 (million)
% 8.42/1.77 % TRYING [1]
% 8.42/1.77 % TRYING [2]
% 8.42/1.77 % (1110942)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=2881539749:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.42/1.77 % (1110945)ott-21_1_sil=16000:fs=off:random_seed=3011830579:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.42/1.77 % TRYING [3]
% 8.42/1.77 % (1110941)Instruction limit reached!
% 8.42/1.77 % (1110941)------------------------------
% 8.42/1.77 % (1110941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.77 % (1110941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110941)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110941)Termination reason: Instruction limit
% 19.70/3.27 % (1110941)Termination phase: Saturation
% 19.70/3.27 % (1110941)Time elapsed: 0.082 s
% 19.70/3.27 % (1110941)Peak memory usage: 14 MB
% 19.70/3.27 % (1110941)Instructions burned: 131 (million)
% 19.70/3.27 % (1110948)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=63033571:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.70/3.27 % (1110945)Instruction limit reached!
% 19.70/3.27 % (1110945)------------------------------
% 19.70/3.27 % (1110945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110945)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110945)Termination reason: Instruction limit
% 19.70/3.27 % (1110945)Termination phase: Saturation
% 19.70/3.27 % (1110945)Time elapsed: 0.097 s
% 19.70/3.27 % (1110945)Peak memory usage: 13 MB
% 19.70/3.27 % (1110945)Instructions burned: 180 (million)
% 19.70/3.27 % (1110950)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2383594676:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.70/3.27 % TRYING [1]
% 19.70/3.27 % TRYING [2]
% 19.70/3.27 % TRYING [3]
% 19.70/3.27 % (1110940)Instruction limit reached!
% 19.70/3.27 % (1110940)------------------------------
% 19.70/3.27 % (1110940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110940)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110940)Termination reason: Instruction limit
% 19.70/3.27 % (1110940)Termination phase: Finite model building constraint generation
% 19.70/3.27 % (1110940)Time elapsed: 0.248 s
% 19.70/3.27 % (1110940)Peak memory usage: 25 MB
% 19.70/3.27 % (1110940)Instructions burned: 716 (million)
% 19.70/3.27 % (1110952)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3079956211:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 19.70/3.27 % (1110948)Instruction limit reached!
% 19.70/3.27 % (1110948)------------------------------
% 19.70/3.27 % (1110948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110948)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110948)Termination reason: Instruction limit
% 19.70/3.27 % (1110948)Termination phase: Saturation
% 19.70/3.27 % (1110948)Time elapsed: 0.302 s
% 19.70/3.27 % (1110948)Peak memory usage: 16 MB
% 19.70/3.27 % (1110948)Instructions burned: 477 (million)
% 19.70/3.27 % (1110942)Instruction limit reached!
% 19.70/3.27 % (1110942)------------------------------
% 19.70/3.27 % (1110942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110942)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110942)Termination reason: Instruction limit
% 19.70/3.27 % (1110942)Termination phase: Saturation
% 19.70/3.27 % (1110942)Time elapsed: 0.399 s
% 19.70/3.27 % (1110942)Peak memory usage: 18 MB
% 19.70/3.27 % (1110942)Instructions burned: 684 (million)
% 19.70/3.27 % (1110954)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2178996310:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 19.70/3.27 % (1110954)Cannot represent all propositional literals internally
% 19.70/3.27 % (1110954)Refutation not found, incomplete strategy
% 19.70/3.27 % (1110954)------------------------------
% 19.70/3.27 % (1110954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110954)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110954)Termination reason: Refutation not found, incomplete strategy
% 19.70/3.27 % (1110954)Time elapsed: 0.006 s
% 19.70/3.27 % (1110954)Peak memory usage: 11 MB
% 19.70/3.27 % (1110954)Instructions burned: 13 (million)
% 19.70/3.27 % (1110955)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=3344388080: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)
% 19.70/3.27 % (1110954)------------------------------
% 19.70/3.27 % (1110954)------------------------------
% 19.70/3.27 % (1110950)Instruction limit reached!
% 19.70/3.27 % (1110950)------------------------------
% 19.70/3.27 % (1110950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110950)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110950)Termination reason: Instruction limit
% 19.70/3.27 % (1110950)Termination phase: Finite model building constraint generation
% 19.70/3.27 % (1110950)Time elapsed: 0.301 s
% 19.70/3.27 % (1110950)Peak memory usage: 51 MB
% 19.70/3.27 % (1110950)Instructions burned: 866 (million)
% 19.70/3.27 % (1110958)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3291339514:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 19.70/3.27 % (1110959)fmb+10_1_sil=64000:random_seed=1402785244:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 19.70/3.27 % TRYING [1]
% 19.70/3.27 % TRYING [2]
% 19.70/3.27 % TRYING [3]
% 19.70/3.27 % (1110955)Instruction limit reached!
% 19.70/3.27 % (1110955)------------------------------
% 19.70/3.27 % (1110955)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110955)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110955)Termination reason: Instruction limit
% 19.70/3.27 % (1110955)Termination phase: Saturation
% 19.70/3.27 % (1110955)Time elapsed: 0.424 s
% 19.70/3.27 % (1110955)Peak memory usage: 21 MB
% 19.70/3.27 % (1110955)Instructions burned: 692 (million)
% 19.70/3.27 % (1110962)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3471045579:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 19.70/3.27 % (1110962)Cannot represent all propositional literals internally
% 19.70/3.27 % (1110962)Refutation not found, incomplete strategy
% 19.70/3.27 % (1110962)------------------------------
% 19.70/3.27 % (1110962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110962)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110962)Termination reason: Refutation not found, incomplete strategy
% 19.70/3.27 % (1110962)Time elapsed: 0.007 s
% 19.70/3.27 % (1110962)Peak memory usage: 11 MB
% 19.70/3.27 % (1110962)Instructions burned: 13 (million)
% 19.70/3.27 % (1110962)------------------------------
% 19.70/3.27 % (1110962)------------------------------
% 19.70/3.27 % (1110964)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3936528027:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 19.70/3.27 % TRYING [8]
% 19.70/3.27 % (1110958)Instruction limit reached!
% 19.70/3.27 % (1110958)------------------------------
% 19.70/3.27 % (1110958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110958)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110958)Termination reason: Instruction limit
% 19.70/3.27 % (1110958)Termination phase: Saturation
% 19.70/3.27 % (1110958)Time elapsed: 0.484 s
% 19.70/3.27 % (1110958)Peak memory usage: 18 MB
% 19.70/3.27 % (1110958)Instructions burned: 880 (million)
% 19.70/3.27 % (1110966)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3153067457:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 19.70/3.27 % (1110952)Instruction limit reached!
% 19.70/3.27 % (1110952)------------------------------
% 19.70/3.27 % (1110952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110952)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110952)Termination reason: Instruction limit
% 19.70/3.27 % (1110952)Termination phase: Saturation
% 19.70/3.27 % (1110952)Time elapsed: 0.696 s
% 19.70/3.27 % (1110952)Peak memory usage: 23 MB
% 19.70/3.27 % (1110952)Instructions burned: 1179 (million)
% 19.70/3.27 % (1110968)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3125012794:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 19.70/3.27 % TRYING [4]
% 19.70/3.27 % (1110964)Instruction limit reached!
% 19.70/3.27 % (1110964)------------------------------
% 19.70/3.27 % (1110964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110964)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110964)Termination reason: Instruction limit
% 19.70/3.27 % (1110964)Termination phase: Finite model building constraint generation
% 19.70/3.27 % (1110964)Time elapsed: 0.282 s
% 19.70/3.27 % (1110964)Peak memory usage: 46 MB
% 19.70/3.27 % (1110964)Instructions burned: 921 (million)
% 19.70/3.27 % (1110970)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3168694783:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 19.70/3.27 % (1110970)Cannot represent all propositional literals internally
% 19.70/3.27 % (1110970)Refutation not found, incomplete strategy
% 19.70/3.27 % (1110970)------------------------------
% 19.70/3.27 % (1110970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110970)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110970)Termination reason: Refutation not found, incomplete strategy
% 19.70/3.27 % (1110970)Time elapsed: 0.008 s
% 19.70/3.27 % (1110970)Peak memory usage: 11 MB
% 19.70/3.27 % (1110970)Instructions burned: 16 (million)
% 19.70/3.27 % (1110970)------------------------------
% 19.70/3.27 % (1110970)------------------------------
% 19.70/3.27 % (1110972)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=270702535:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 19.70/3.27 % (1110972)Cannot represent all propositional literals internally
% 19.70/3.27 % (1110972)Refutation not found, incomplete strategy
% 19.70/3.27 % (1110972)------------------------------
% 19.70/3.27 % (1110972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110972)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110972)Termination reason: Refutation not found, incomplete strategy
% 19.70/3.27 % (1110972)Time elapsed: 0.082 s
% 19.70/3.27 % (1110972)Peak memory usage: 13 MB
% 19.70/3.27 % (1110972)Instructions burned: 166 (million)
% 19.70/3.27 % (1110972)------------------------------
% 19.70/3.27 % (1110972)------------------------------
% 19.70/3.27 % (1110974)ott-2_1_sil=16000:newcnf=on:random_seed=3743392234:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 19.70/3.27 % (1110968)Instruction limit reached!
% 19.70/3.27 % (1110968)------------------------------
% 19.70/3.27 % (1110968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110968)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110968)Termination reason: Instruction limit
% 19.70/3.27 % (1110968)Termination phase: Saturation
% 19.70/3.27 % (1110968)Time elapsed: 0.903 s
% 19.70/3.27 % (1110968)Peak memory usage: 31 MB
% 19.70/3.27 % (1110968)Instructions burned: 1473 (million)
% 19.70/3.27 % (1110974)Instruction limit reached!
% 19.70/3.27 % (1110974)------------------------------
% 19.70/3.27 % (1110974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110974)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110974)Termination reason: Instruction limit
% 19.70/3.27 % (1110974)Termination phase: Saturation
% 19.70/3.27 % (1110974)Time elapsed: 0.553 s
% 19.70/3.27 % (1110974)Peak memory usage: 17 MB
% 19.70/3.27 % (1110974)Instructions burned: 869 (million)
% 19.70/3.27 % (1110976)ott+10_1_sil=32000:tgt=ground:random_seed=4186395659:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 19.70/3.27 % (1110977)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3218646456:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 19.70/3.27 % TRYING [1]
% 19.70/3.27 % TRYING [2]
% 19.70/3.27 % TRYING [3]
% 19.70/3.27 % (1110976) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1110921-1110976"...
% 19.70/3.27 % (1110976)...printing done.
% 19.70/3.27 % (1110976)Refutation found. Thanks to Tanya!
% 19.70/3.27 % SZS status Theorem for theBenchmark
% 19.70/3.27 % SZS output start Proof for theBenchmark
% See solution above
% 19.70/3.27 % (1110976)------------------------------
% 19.70/3.27 % (1110976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.70/3.27 % (1110976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.70/3.27 % (1110976)CaDiCaL version: 2.1.3
% 19.70/3.27 % (1110976)Termination reason: Refutation
% 19.70/3.27 % (1110976)Time elapsed: 0.763 s
% 19.70/3.27 % (1110976)Peak memory usage: 25 MB
% 19.70/3.27 % (1110976)Instructions burned: 1181 (million)
% 19.70/3.27 % (1110921)Success in time 2.846 s
% 19.70/3.27 % Vampire exiting
%------------------------------------------------------------------------------