%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO613+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:52 AM UTC 2026
% Result : Theorem 13.78s 3.84s
% Output : Refutation 13.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 26
% Syntax : Number of formulae : 148 ( 19 unt; 0 def)
% Number of atoms : 415 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 441 ( 174 ~; 170 |; 70 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 16 con; 0-6 aty)
% Number of variables : 727 ( 692 !; 35 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(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(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(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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(f82,axiom,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& midp(X4,X3,X1)
& circle(X0,X1,X5,X14)
& circle(X2,X1,X6,X15)
& coll(X6,X1,X5)
& coll(X7,X0,X5)
& coll(X7,X2,X6) )
=> eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618075y) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& midp(X4,X3,X1)
& circle(X0,X1,X5,X14)
& circle(X2,X1,X6,X15)
& coll(X6,X1,X5)
& coll(X7,X0,X5)
& coll(X7,X2,X6) )
=> eqangle(X5,X3,X3,X6,X0,X7,X7,X2) ),
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(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
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(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(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(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
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(f224,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f82]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
? [X6] :
( ( midp(X6,X0,X3)
& para(X6,X4,X1,X3)
& para(X6,X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f224]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2)
& circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& midp(X4,X3,X1)
& circle(X0,X1,X5,X14)
& circle(X2,X1,X6,X15)
& coll(X6,X1,X5)
& coll(X7,X0,X5)
& coll(X7,X2,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X5,X3,X3,X6,X0,X7,X7,X2)
& circle(X0,X1,X8,X9)
& circle(X2,X1,X10,X11)
& circle(X0,X1,X3,X12)
& circle(X2,X1,X3,X13)
& midp(X4,X3,X1)
& circle(X0,X1,X5,X14)
& circle(X2,X1,X6,X15)
& coll(X6,X1,X5)
& coll(X7,X0,X5)
& coll(X7,X2,X6) ),
inference(flattening,[],[f249]) ).
fof(f256,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
& para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).
fof(f270,plain,
( ~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22)
& circle(sK20,sK21,sK28,sK29)
& circle(sK22,sK21,sK30,sK31)
& circle(sK20,sK21,sK23,sK32)
& circle(sK22,sK21,sK23,sK33)
& midp(sK24,sK23,sK21)
& circle(sK20,sK21,sK25,sK34)
& circle(sK22,sK21,sK26,sK35)
& coll(sK26,sK21,sK25)
& coll(sK27,sK20,sK25)
& coll(sK27,sK22,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),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),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[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(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
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(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(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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
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(f357,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f358,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f256]) ).
fof(f389,plain,
midp(sK24,sK23,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ eqangle(sK25,sK23,sK23,sK26,sK20,sK27,sK27,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f405,plain,
midp(sK24,sK21,sK23),
inference(resolution,[],[f281,f389]) ).
fof(f463,plain,
! [X0,X1] :
( para(X0,sK23,X1,sK21)
| ~ midp(sK24,X0,X1) ),
inference(resolution,[],[f334,f389]) ).
fof(f571,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(f572,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f584,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(f607,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(f763,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| para(X6,X7,X1,X4) ),
inference(resolution,[],[f357,f276]) ).
fof(f773,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f358,f275]) ).
fof(f939,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f292,f310]) ).
fof(f1029,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(f1035,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,[],[f1029]) ).
fof(f1105,plain,
! [X0,X1] :
( para(X0,sK23,sK21,X1)
| ~ midp(sK24,X0,X1) ),
inference(resolution,[],[f463,f274]) ).
fof(f1674,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f571,f309]) ).
fof(f1706,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f572,f291]) ).
fof(f1853,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f584,f313]) ).
fof(f1854,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f584,f312]) ).
fof(f1864,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1853,f1854]) ).
fof(f2170,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,[],[f607,f346]) ).
fof(f3501,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X0,X1,X4,X5)
| ~ para(X2,X3,X6,X7) ),
inference(resolution,[],[f939,f571]) ).
fof(f3606,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4)
| para(X4,X2,X3,X1)
| ~ midp(X0,X1,X2)
| ~ midp(X0,X3,X4) ),
inference(resolution,[],[f763,f773]) ).
fof(f3611,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3606]) ).
fof(f13312,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ midp(sK24,sK21,sK23) ),
inference(resolution,[],[f1674,f1105]) ).
fof(f13313,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f13312,f405]) ).
fof(f13315,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f13313,f337]) ).
fof(f13348,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f13315,f272]) ).
fof(f13642,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13348,f271]) ).
fof(f13919,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1864,f13313]) ).
fof(f13923,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f13642,f273]) ).
fof(f13974,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f13923,f13642]) ).
fof(f17400,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f13919,f285]) ).
fof(f17402,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f13919,f287]) ).
fof(f17441,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f17402,f13919]) ).
fof(f17691,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X0,X0)
| cong(X0,X1,X0,X1) ),
inference(resolution,[],[f17400,f1035]) ).
fof(f17716,plain,
! [X0,X1] :
( ~ cyclic(X0,X1,X0,X1)
| cong(X0,X1,X0,X1) ),
inference(forward_subsumption_resolution,[],[f17691,f17441]) ).
fof(f17727,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f17716,f17441]) ).
fof(f18461,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,[],[f1706,f314]) ).
fof(f18474,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,[],[f18461]) ).
fof(f18475,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f18474,f17441]) ).
fof(f18491,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f18475,f17441]) ).
fof(f18495,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f18491,f17441]) ).
fof(f18725,plain,
! [X0,X1] :
( midp(X0,X1,X1)
| ~ coll(X0,X1,X1) ),
inference(resolution,[],[f17727,f338]) ).
fof(f18816,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(forward_subsumption_resolution,[],[f18725,f13974]) ).
fof(f24999,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1)
| ~ midp(X2,X3,X3) ),
inference(resolution,[],[f2170,f18495]) ).
fof(f25131,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X1)
| cong(X2,X3,X0,X1) ),
inference(forward_subsumption_resolution,[],[f24999,f18816]) ).
fof(f25140,plain,
! [X2,X3,X0,X1] : cong(X2,X3,X0,X1),
inference(forward_subsumption_resolution,[],[f25131,f18816]) ).
fof(f25145,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f25140,f338]) ).
fof(f25318,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f25145,f13974]) ).
fof(f25425,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f25318,f3611]) ).
fof(f25481,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f25425,f25318]) ).
fof(f32091,plain,
( ~ para(sK25,sK23,sK20,sK27)
| ~ para(sK23,sK26,sK27,sK22) ),
inference(resolution,[],[f3501,f394]) ).
fof(f32149,plain,
~ para(sK25,sK23,sK20,sK27),
inference(forward_subsumption_resolution,[],[f32091,f25481]) ).
fof(f32165,plain,
$false,
inference(forward_subsumption_resolution,[],[f32149,f25481]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO613+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 08:38:22 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44 Running first-order model finding
% 0.12/0.44 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
% 11.25/2.13 % (3203560)Will run a generic schedule for satisfiability detection.
% 11.25/2.13 % (3203565)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1242859507_2999 on theBenchmark for (2999ds/0Mi)
% 11.25/2.13 % TRYING [1]
% 11.25/2.13 % (3203566)% WARNING: option uhcvi not known.
% 11.25/2.13 % TRYING [2]
% 11.25/2.13 % (3203566)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=611942804:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.25/2.13 % (3203568)dis+10_1_sil=32000:sp=arity:random_seed=1791832682:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.25/2.13 % (3203567)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2700531310:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.25/2.13 % (3203571)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1716351034:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.25/2.13 % (3203569)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1647514329:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.25/2.13 % (3203570)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1812394553:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.25/2.13 % TRYING [3]
% 11.25/2.13 % (3203568)Instruction limit reached!
% 11.25/2.13 % (3203568)------------------------------
% 11.25/2.13 % (3203568)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/2.13 % (3203568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.13 % (3203568)CaDiCaL version: 2.1.3
% 11.25/2.13 % (3203568)Termination reason: Instruction limit
% 11.25/2.13 % (3203568)Termination phase: Saturation
% 11.25/2.13 % (3203568)Time elapsed: 0.107 s
% 11.25/2.13 % (3203568)Peak memory usage: 13 MB
% 11.25/2.13 % (3203568)Instructions burned: 103 (million)
% 11.25/2.13 % (3203569)Instruction limit reached!
% 11.25/2.13 % (3203569)------------------------------
% 11.25/2.13 % (3203569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/2.13 % (3203569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.13 % (3203569)CaDiCaL version: 2.1.3
% 11.25/2.13 % (3203569)Termination reason: Instruction limit
% 11.25/2.13 % (3203569)Termination phase: Saturation
% 11.25/2.13 % (3203569)Time elapsed: 0.107 s
% 11.25/2.13 % (3203569)Peak memory usage: 13 MB
% 11.25/2.13 % (3203569)Instructions burned: 117 (million)
% 11.25/2.13 % (3203584)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1873763918:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.25/2.13 % (3203571)Instruction limit reached!
% 11.25/2.13 % (3203571)------------------------------
% 11.25/2.13 % (3203571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/2.13 % (3203570)Instruction limit reached!
% 11.25/2.13 % (3203570)------------------------------
% 11.25/2.13 % (3203570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/2.13 % (3203570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.13 % (3203570)CaDiCaL version: 2.1.3
% 11.25/2.13 % (3203570)Termination reason: Instruction limit
% 11.25/2.13 % (3203570)Termination phase: Saturation
% 11.25/2.13 % (3203570)Time elapsed: 0.137 s
% 11.25/2.13 % (3203570)Peak memory usage: 14 MB
% 11.25/2.13 % (3203570)Instructions burned: 131 (million)
% 11.25/2.13 % (3203571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.25/2.13 % (3203571)CaDiCaL version: 2.1.3
% 11.25/2.13 % (3203571)Termination reason: Instruction limit
% 11.25/2.13 % (3203571)Termination phase: Saturation
% 11.25/2.13 % (3203571)Time elapsed: 0.137 s
% 11.25/2.13 % (3203571)Peak memory usage: 12 MB
% 11.25/2.13 % (3203571)Instructions burned: 160 (million)
% 11.25/2.13 % (3203583)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=806143368:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.25/2.13 % TRYING [1]
% 11.25/2.13 % TRYING [2]
% 11.25/2.13 % (3203586)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=2835816329:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.25/2.13 % (3203588)ott-21_1_sil=16000:fs=off:random_seed=2222961258:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.25/2.13 % TRYING [3]
% 11.25/2.13 % (3203584)Instruction limit reached!
% 11.25/2.13 % (3203584)------------------------------
% 11.25/2.13 % (3203584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.25/2.13 % (3203584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203584)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203584)Termination reason: Instruction limit
% 13.78/3.84 % (3203584)Termination phase: Saturation
% 13.78/3.84 % (3203584)Time elapsed: 0.117 s
% 13.78/3.84 % (3203584)Peak memory usage: 14 MB
% 13.78/3.84 % (3203584)Instructions burned: 131 (million)
% 13.78/3.84 % (3203591)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2158330710:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 13.78/3.84 % (3203588)Instruction limit reached!
% 13.78/3.84 % (3203588)------------------------------
% 13.78/3.84 % (3203588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203588)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203588)Termination reason: Instruction limit
% 13.78/3.84 % (3203588)Termination phase: Saturation
% 13.78/3.84 % (3203588)Time elapsed: 0.167 s
% 13.78/3.84 % (3203588)Peak memory usage: 12 MB
% 13.78/3.84 % (3203588)Instructions burned: 180 (million)
% 13.78/3.84 % (3203597)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2420488220:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 13.78/3.84 % TRYING [1]
% 13.78/3.84 % TRYING [2]
% 13.78/3.84 % TRYING [3]
% 13.78/3.84 % (3203583)Instruction limit reached!
% 13.78/3.84 % (3203583)------------------------------
% 13.78/3.84 % (3203583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203583)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203583)Termination reason: Instruction limit
% 13.78/3.84 % (3203583)Termination phase: Finite model building constraint generation
% 13.78/3.84 % (3203583)Time elapsed: 0.448 s
% 13.78/3.84 % (3203583)Peak memory usage: 24 MB
% 13.78/3.84 % (3203583)Instructions burned: 715 (million)
% 13.78/3.84 % (3203602)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=683360892:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 13.78/3.84 % (3203591)Instruction limit reached!
% 13.78/3.84 % (3203591)------------------------------
% 13.78/3.84 % (3203591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203591)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203591)Termination reason: Instruction limit
% 13.78/3.84 % (3203591)Termination phase: Saturation
% 13.78/3.84 % (3203591)Time elapsed: 0.494 s
% 13.78/3.84 % (3203591)Peak memory usage: 15 MB
% 13.78/3.84 % (3203591)Instructions burned: 477 (million)
% 13.78/3.84 % (3203586)Instruction limit reached!
% 13.78/3.84 % (3203586)------------------------------
% 13.78/3.84 % (3203586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203586)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203586)Termination reason: Instruction limit
% 13.78/3.84 % (3203586)Termination phase: Saturation
% 13.78/3.84 % (3203586)Time elapsed: 0.624 s
% 13.78/3.84 % (3203586)Peak memory usage: 19 MB
% 13.78/3.84 % (3203586)Instructions burned: 685 (million)
% 13.78/3.84 % (3203607)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=718188983:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 13.78/3.84 % (3203608)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=1045365332:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 13.78/3.84 % (3203607)Cannot represent all propositional literals internally
% 13.78/3.84 % (3203607)Refutation not found, incomplete strategy
% 13.78/3.84 % (3203607)------------------------------
% 13.78/3.84 % (3203607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203607)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203607)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.84 % (3203607)Time elapsed: 0.011 s
% 13.78/3.84 % (3203607)Peak memory usage: 10 MB
% 13.78/3.84 % (3203607)Instructions burned: 13 (million)
% 13.78/3.84 % (3203607)------------------------------
% 13.78/3.84 % (3203607)------------------------------
% 13.78/3.84 % (3203614)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3138541984:i=879:kws=inv_precedence:fsr=off_2991 on theBenchmark for (2991ds/879Mi)
% 13.78/3.84 % (3203597)Instruction limit reached!
% 13.78/3.84 % (3203597)------------------------------
% 13.78/3.84 % (3203597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203597)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203597)Termination reason: Instruction limit
% 13.78/3.84 % (3203597)Termination phase: Finite model building constraint generation
% 13.78/3.84 % (3203597)Time elapsed: 0.515 s
% 13.78/3.84 % (3203597)Peak memory usage: 51 MB
% 13.78/3.84 % (3203597)Instructions burned: 866 (million)
% 13.78/3.84 % (3203616)fmb+10_1_sil=64000:random_seed=4040955650:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 13.78/3.84 % TRYING [1]
% 13.78/3.84 % TRYING [2]
% 13.78/3.84 % TRYING [3]
% 13.78/3.84 % (3203608)Instruction limit reached!
% 13.78/3.84 % (3203608)------------------------------
% 13.78/3.84 % (3203608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203608)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203608)Termination reason: Instruction limit
% 13.78/3.84 % (3203608)Termination phase: Saturation
% 13.78/3.84 % (3203608)Time elapsed: 0.458 s
% 13.78/3.84 % (3203608)Peak memory usage: 18 MB
% 13.78/3.84 % (3203608)Instructions burned: 692 (million)
% 13.78/3.84 % (3203623)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1564824342:i=9515:nm=5_2986 on theBenchmark for (2986ds/9515Mi)
% 13.78/3.84 % (3203623)Cannot represent all propositional literals internally
% 13.78/3.84 % (3203623)Refutation not found, incomplete strategy
% 13.78/3.84 % (3203623)------------------------------
% 13.78/3.84 % (3203623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203623)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203623)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.84 % (3203623)Time elapsed: 0.007 s
% 13.78/3.84 % (3203623)Peak memory usage: 10 MB
% 13.78/3.84 % (3203623)Instructions burned: 13 (million)
% 13.78/3.84 % (3203623)------------------------------
% 13.78/3.84 % (3203623)------------------------------
% 13.78/3.84 % (3203638)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=967952129:fmbsr=1.7:i=920_2986 on theBenchmark for (2986ds/920Mi)
% 13.78/3.84 % TRYING [8]
% 13.78/3.84 % (3203614)Instruction limit reached!
% 13.78/3.84 % (3203614)------------------------------
% 13.78/3.84 % (3203614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203614)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203614)Termination reason: Instruction limit
% 13.78/3.84 % (3203614)Termination phase: Saturation
% 13.78/3.84 % (3203614)Time elapsed: 0.547 s
% 13.78/3.84 % (3203614)Peak memory usage: 19 MB
% 13.78/3.84 % (3203614)Instructions burned: 879 (million)
% 13.78/3.84 % (3203680)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3339981686:i=5131_2985 on theBenchmark for (2985ds/5131Mi)
% 13.78/3.84 % (3203602)Instruction limit reached!
% 13.78/3.84 % (3203602)------------------------------
% 13.78/3.84 % (3203602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203602)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203602)Termination reason: Instruction limit
% 13.78/3.84 % (3203602)Termination phase: Saturation
% 13.78/3.84 % (3203602)Time elapsed: 0.843 s
% 13.78/3.84 % (3203602)Peak memory usage: 26 MB
% 13.78/3.84 % (3203602)Instructions burned: 1180 (million)
% 13.78/3.84 % (3203704)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3007800401:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 13.78/3.84 % (3203638)Instruction limit reached!
% 13.78/3.84 % (3203638)------------------------------
% 13.78/3.84 % (3203638)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203638)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203638)Termination reason: Instruction limit
% 13.78/3.84 % (3203638)Termination phase: Finite model building constraint generation
% 13.78/3.84 % (3203638)Time elapsed: 0.294 s
% 13.78/3.84 % (3203638)Peak memory usage: 51 MB
% 13.78/3.84 % (3203638)Instructions burned: 922 (million)
% 13.78/3.84 % (3203732)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=491897694:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 13.78/3.84 % (3203732)Cannot represent all propositional literals internally
% 13.78/3.84 % (3203732)Refutation not found, incomplete strategy
% 13.78/3.84 % (3203732)------------------------------
% 13.78/3.84 % (3203732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203732)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203732)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.84 % (3203732)Time elapsed: 0.008 s
% 13.78/3.84 % (3203732)Peak memory usage: 11 MB
% 13.78/3.84 % (3203732)Instructions burned: 16 (million)
% 13.78/3.84 % (3203732)------------------------------
% 13.78/3.84 % (3203732)------------------------------
% 13.78/3.84 % (3203735)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1704082258:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 13.78/3.84 % (3203735)Cannot represent all propositional literals internally
% 13.78/3.84 % (3203735)Refutation not found, incomplete strategy
% 13.78/3.84 % (3203735)------------------------------
% 13.78/3.84 % (3203735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203735)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203735)Termination reason: Refutation not found, incomplete strategy
% 13.78/3.84 % (3203735)Time elapsed: 0.085 s
% 13.78/3.84 % (3203735)Peak memory usage: 13 MB
% 13.78/3.84 % (3203735)Instructions burned: 167 (million)
% 13.78/3.84 % (3203735)------------------------------
% 13.78/3.84 % (3203735)------------------------------
% 13.78/3.84 % (3203783)ott-2_1_sil=16000:newcnf=on:random_seed=1787045626:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2981 on theBenchmark for (2981ds/869Mi)
% 13.78/3.84 % (3203783)Instruction limit reached!
% 13.78/3.84 % (3203783)------------------------------
% 13.78/3.84 % (3203783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203783)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203783)Termination reason: Instruction limit
% 13.78/3.84 % (3203783)Termination phase: Saturation
% 13.78/3.84 % (3203783)Time elapsed: 0.550 s
% 13.78/3.84 % (3203783)Peak memory usage: 18 MB
% 13.78/3.84 % (3203783)Instructions burned: 870 (million)
% 13.78/3.84 % (3203785)ott+10_1_sil=32000:tgt=ground:random_seed=1022210412:i=5114:av=off_2976 on theBenchmark for (2976ds/5114Mi)
% 13.78/3.84 % (3203704)Instruction limit reached!
% 13.78/3.84 % (3203704)------------------------------
% 13.78/3.84 % (3203704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203704)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203704)Termination reason: Instruction limit
% 13.78/3.84 % (3203704)Termination phase: Saturation
% 13.78/3.84 % (3203704)Time elapsed: 0.952 s
% 13.78/3.84 % (3203704)Peak memory usage: 35 MB
% 13.78/3.84 % (3203704)Instructions burned: 1473 (million)
% 13.78/3.84 % (3203787)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3262054375:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 13.78/3.84 % TRYING [1]
% 13.78/3.84 % TRYING [2]
% 13.78/3.84 % TRYING [3]
% 13.78/3.84 % (3203785) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3203560-3203785"...
% 13.78/3.84 % (3203785)...printing done.
% 13.78/3.84 % (3203785)Refutation found. Thanks to Tanya!
% 13.78/3.84 % SZS status Theorem for theBenchmark
% 13.78/3.84 % SZS output start Proof for theBenchmark
% See solution above
% 13.78/3.84 % (3203785)------------------------------
% 13.78/3.84 % (3203785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.78/3.84 % (3203785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.78/3.84 % (3203785)CaDiCaL version: 2.1.3
% 13.78/3.84 % (3203785)Termination reason: Refutation
% 13.78/3.84 % (3203785)Time elapsed: 0.943 s
% 13.78/3.84 % (3203785)Peak memory usage: 29 MB
% 13.78/3.84 % (3203785)Instructions burned: 1519 (million)
% 13.78/3.84 % (3203560)Success in time 3.387 s
% 13.78/3.84 % Vampire exiting
%------------------------------------------------------------------------------