%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO563+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 : n003.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 09:54:44 AM UTC 2026
% Result : Theorem 18.43s 3.12s
% Output : Refutation 18.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 27
% Syntax : Number of formulae : 150 ( 19 unt; 0 def)
% Number of atoms : 408 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 435 ( 177 ~; 173 |; 57 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-6 aty)
% Number of variables : 693 ( 666 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X0,X1,X2,X3)
& cong(X2,X3,X4,X5) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& para(X3,X4,X1,X2)
& coll(X4,X0,X2) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214024) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) )
=> eqangle(X1,X8,X8,X7,X1,X2,X2,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(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(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5) ),
inference(flattening,[],[f130]) ).
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(f159,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| ~ para(X3,X4,X1,X2)
| ~ coll(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
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(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ eqangle(X1,X8,X8,X7,X1,X2,X2,X7)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X9)
& coll(X5,X0,X4)
& circle(X6,X5,X2,X0)
& circle(X6,X0,X7,X10)
& coll(X8,X1,X4)
& coll(X8,X5,X7) ),
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(f262,plain,
! [X0,X1,X2,X3] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f270,plain,
( ~ eqangle(sK21,sK28,sK28,sK27,sK21,sK22,sK22,sK27)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK29)
& coll(sK25,sK20,sK24)
& circle(sK26,sK25,sK22,sK20)
& circle(sK26,sK20,sK27,sK30)
& coll(sK28,sK21,sK24)
& coll(sK28,sK25,sK27) ),
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(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(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(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(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
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(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2)
| ~ coll(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
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(f339,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
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(f370,plain,
! [X2,X3,X0,X1] :
( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f262]) ).
fof(f390,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ eqangle(sK21,sK28,sK28,sK27,sK21,sK22,sK22,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f425,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( perp(X1,X0,sK11(X1,X2,X3,X0),X1)
| ~ circle(X0,X1,X2,X3) ),
inference(resolution,[],[f370,f278]) ).
fof(f507,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,sK11(X2,X3,X4,X5),X2)
| para(X0,X1,X2,X5)
| ~ circle(X5,X2,X3,X4) ),
inference(resolution,[],[f279,f370]) ).
fof(f522,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X2,X4)
| ~ midp(X2,X3,X4) ),
inference(resolution,[],[f295,f339]) ).
fof(f560,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(f574,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(f756,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(f765,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(f934,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(f1021,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(f1027,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,[],[f1021]) ).
fof(f1407,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f522,f425]) ).
fof(f1513,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f560,f309]) ).
fof(f1694,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f574,f313]) ).
fof(f1695,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f574,f312]) ).
fof(f1705,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1694,f1695]) ).
fof(f2567,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X0,X1)
| ~ circle(X1,X0,X2,X3)
| ~ circle(X1,X0,X2,X3) ),
inference(resolution,[],[f507,f498]) ).
fof(f2572,plain,
! [X2,X3,X0,X1] :
( ~ circle(X1,X0,X2,X3)
| para(X0,X1,X0,X1) ),
inference(duplicate_literal_removal,[],[f2567]) ).
fof(f4017,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,[],[f934,f560]) ).
fof(f4156,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,[],[f756,f765]) ).
fof(f4159,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f4156]) ).
fof(f11890,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f2572,f390]) ).
fof(f11896,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f11890,f1513]) ).
fof(f12341,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11896,f337]) ).
fof(f12342,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f11896,f1705]) ).
fof(f12347,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11896,f335]) ).
fof(f12351,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f11896,f274]) ).
fof(f12366,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f12347,f11896]) ).
fof(f12375,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f12341,f272]) ).
fof(f12723,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f12375,f271]) ).
fof(f12960,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f12723,f273]) ).
fof(f13007,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f12960,f12723]) ).
fof(f17371,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f12342,f1027]) ).
fof(f17386,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f17371]) ).
fof(f17392,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f17386,f12342]) ).
fof(f17433,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ coll(X2,X1,X0) ),
inference(resolution,[],[f12351,f316]) ).
fof(f17446,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0) ),
inference(forward_subsumption_resolution,[],[f17433,f13007]) ).
fof(f19404,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f17392,f338]) ).
fof(f19436,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f19404,f13007]) ).
fof(f20848,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f12366,f19436]) ).
fof(f26266,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[],[f17446,f20848]) ).
fof(f26552,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f26266,f1407]) ).
fof(f26598,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f26552,f26266]) ).
fof(f27307,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f26598,f338]) ).
fof(f27432,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f27307,f13007]) ).
fof(f27699,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f27432,f4159]) ).
fof(f27761,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f27699,f27432]) ).
fof(f31847,plain,
( ~ para(sK21,sK28,sK21,sK22)
| ~ para(sK28,sK27,sK22,sK27) ),
inference(resolution,[],[f4017,f391]) ).
fof(f31901,plain,
~ para(sK21,sK28,sK21,sK22),
inference(forward_subsumption_resolution,[],[f31847,f27761]) ).
fof(f31915,plain,
$false,
inference(forward_subsumption_resolution,[],[f31901,f27761]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO563+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n003.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:32:55 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.43 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
% 6.73/1.46 % (204801)Will run a generic schedule for satisfiability detection.
% 6.73/1.46 % (204811)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1938654354:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.73/1.46 % (204807)% WARNING: option uhcvi not known.
% 6.73/1.46 % (204806)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=907586389_2999 on theBenchmark for (2999ds/0Mi)
% 6.73/1.46 % (204807)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=810688104:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.73/1.46 % (204808)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3220292568:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.73/1.46 % (204809)dis+10_1_sil=32000:sp=arity:random_seed=3869460332:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.73/1.46 % (204810)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1483420788:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.73/1.46 % (204812)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3347239031:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.73/1.46 % TRYING [1]
% 6.73/1.46 % TRYING [2]
% 6.73/1.46 % (204811)Instruction limit reached!
% 6.73/1.46 % (204811)------------------------------
% 6.73/1.46 % (204811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.46 % (204811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.46 % (204811)CaDiCaL version: 2.1.3
% 6.73/1.46 % (204811)Termination reason: Instruction limit
% 6.73/1.46 % (204811)Termination phase: Saturation
% 6.73/1.46 % (204811)Time elapsed: 0.046 s
% 6.73/1.46 % (204811)Peak memory usage: 14 MB
% 6.73/1.46 % (204811)Instructions burned: 133 (million)
% 6.73/1.46 % TRYING [3]
% 6.73/1.46 % (204820)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1306467271:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.73/1.46 % TRYING [1]
% 6.73/1.46 % TRYING [2]
% 6.73/1.46 % (204809)Instruction limit reached!
% 6.73/1.46 % (204809)------------------------------
% 6.73/1.46 % (204809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.46 % (204809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.46 % (204809)CaDiCaL version: 2.1.3
% 6.73/1.46 % (204809)Termination reason: Instruction limit
% 6.73/1.46 % (204809)Termination phase: Saturation
% 6.73/1.46 % (204809)Time elapsed: 0.065 s
% 6.73/1.46 % (204809)Peak memory usage: 13 MB
% 6.73/1.46 % (204809)Instructions burned: 104 (million)
% 6.73/1.46 % (204810)Instruction limit reached!
% 6.73/1.46 % (204810)------------------------------
% 6.73/1.46 % (204810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.46 % (204810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.46 % (204810)CaDiCaL version: 2.1.3
% 6.73/1.46 % (204810)Termination reason: Instruction limit
% 6.73/1.46 % (204810)Termination phase: Saturation
% 6.73/1.46 % (204810)Time elapsed: 0.067 s
% 6.73/1.46 % (204810)Peak memory usage: 13 MB
% 6.73/1.46 % (204810)Instructions burned: 117 (million)
% 6.73/1.46 % TRYING [3]
% 6.73/1.46 % (204822)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=442980286:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.73/1.46 % (204823)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=4174150515:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.73/1.46 % (204812)Instruction limit reached!
% 6.73/1.46 % (204812)------------------------------
% 6.73/1.46 % (204812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.46 % (204812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.73/1.46 % (204812)CaDiCaL version: 2.1.3
% 6.73/1.46 % (204812)Termination reason: Instruction limit
% 6.73/1.46 % (204812)Termination phase: Saturation
% 6.73/1.46 % (204812)Time elapsed: 0.094 s
% 6.73/1.46 % (204812)Peak memory usage: 14 MB
% 6.73/1.46 % (204812)Instructions burned: 160 (million)
% 6.73/1.46 % (204826)ott-21_1_sil=16000:fs=off:random_seed=3282048088:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.73/1.46 % (204822)Instruction limit reached!
% 6.73/1.46 % (204822)------------------------------
% 6.73/1.46 % (204822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.73/1.46 % (204822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204822)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204822)Termination reason: Instruction limit
% 18.43/3.12 % (204822)Termination phase: Saturation
% 18.43/3.12 % (204822)Time elapsed: 0.081 s
% 18.43/3.12 % (204822)Peak memory usage: 15 MB
% 18.43/3.12 % (204822)Instructions burned: 131 (million)
% 18.43/3.12 % (204820)Instruction limit reached!
% 18.43/3.12 % (204820)------------------------------
% 18.43/3.12 % (204820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204820)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204820)Termination reason: Instruction limit
% 18.43/3.12 % (204820)Termination phase: Finite model building constraint generation
% 18.43/3.12 % (204820)Time elapsed: 0.133 s
% 18.43/3.12 % (204820)Peak memory usage: 24 MB
% 18.43/3.12 % (204820)Instructions burned: 719 (million)
% 18.43/3.12 % (204828)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3431683810:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.43/3.12 % (204829)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2476625529:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.43/3.12 % TRYING [1]
% 18.43/3.12 % TRYING [2]
% 18.43/3.12 % (204826)Instruction limit reached!
% 18.43/3.12 % (204826)------------------------------
% 18.43/3.12 % (204826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204826)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204826)Termination reason: Instruction limit
% 18.43/3.12 % (204826)Termination phase: Saturation
% 18.43/3.12 % (204826)Time elapsed: 0.096 s
% 18.43/3.12 % (204826)Peak memory usage: 12 MB
% 18.43/3.12 % (204826)Instructions burned: 181 (million)
% 18.43/3.12 % (204832)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3678171528:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 18.43/3.12 % TRYING [3]
% 18.43/3.12 % (204829)Instruction limit reached!
% 18.43/3.12 % (204829)------------------------------
% 18.43/3.12 % (204829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204829)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204829)Termination reason: Instruction limit
% 18.43/3.12 % (204829)Termination phase: Finite model building constraint generation
% 18.43/3.12 % (204829)Time elapsed: 0.164 s
% 18.43/3.12 % (204829)Peak memory usage: 51 MB
% 18.43/3.12 % (204829)Instructions burned: 870 (million)
% 18.43/3.12 % (204834)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2248373167:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 18.43/3.12 % (204834)Cannot represent all propositional literals internally
% 18.43/3.12 % (204834)Refutation not found, incomplete strategy
% 18.43/3.12 % (204834)------------------------------
% 18.43/3.12 % (204834)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204834)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204834)Termination reason: Refutation not found, incomplete strategy
% 18.43/3.12 % (204834)Time elapsed: 0.003 s
% 18.43/3.12 % (204834)Peak memory usage: 10 MB
% 18.43/3.12 % (204834)Instructions burned: 13 (million)
% 18.43/3.12 % (204834)------------------------------
% 18.43/3.12 % (204834)------------------------------
% 18.43/3.12 % (204836)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=2818478993:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 18.43/3.12 % (204828)Instruction limit reached!
% 18.43/3.12 % (204828)------------------------------
% 18.43/3.12 % (204828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204828)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204828)Termination reason: Instruction limit
% 18.43/3.12 % (204828)Termination phase: Saturation
% 18.43/3.12 % (204828)Time elapsed: 0.288 s
% 18.43/3.12 % (204828)Peak memory usage: 15 MB
% 18.43/3.12 % (204828)Instructions burned: 478 (million)
% 18.43/3.12 % (204823)Instruction limit reached!
% 18.43/3.12 % (204823)------------------------------
% 18.43/3.12 % (204823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204823)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204823)Termination reason: Instruction limit
% 18.43/3.12 % (204823)Termination phase: Saturation
% 18.43/3.12 % (204823)Time elapsed: 0.400 s
% 18.43/3.12 % (204823)Peak memory usage: 20 MB
% 18.43/3.12 % (204823)Instructions burned: 684 (million)
% 18.43/3.12 % (204838)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=4178537797:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.43/3.12 % (204839)fmb+10_1_sil=64000:random_seed=4148309457:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 18.43/3.12 % TRYING [1]
% 18.43/3.12 % TRYING [2]
% 18.43/3.12 % (204836)Instruction limit reached!
% 18.43/3.12 % (204836)------------------------------
% 18.43/3.12 % (204836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204836)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204836)Termination reason: Instruction limit
% 18.43/3.12 % (204836)Termination phase: Saturation
% 18.43/3.12 % (204836)Time elapsed: 0.203 s
% 18.43/3.12 % (204836)Peak memory usage: 17 MB
% 18.43/3.12 % (204836)Instructions burned: 696 (million)
% 18.43/3.12 % TRYING [3]
% 18.43/3.12 % (204842)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=115883796:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 18.43/3.12 % (204842)Cannot represent all propositional literals internally
% 18.43/3.12 % (204842)Refutation not found, incomplete strategy
% 18.43/3.12 % (204842)------------------------------
% 18.43/3.12 % (204842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204842)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204842)Termination reason: Refutation not found, incomplete strategy
% 18.43/3.12 % (204842)Time elapsed: 0.003 s
% 18.43/3.12 % (204842)Peak memory usage: 10 MB
% 18.43/3.12 % (204842)Instructions burned: 13 (million)
% 18.43/3.12 % (204842)------------------------------
% 18.43/3.12 % (204842)------------------------------
% 18.43/3.12 % (204844)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3716076130:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 18.43/3.12 % TRYING [8]
% 18.43/3.12 % (204844)Instruction limit reached!
% 18.43/3.12 % (204844)------------------------------
% 18.43/3.12 % (204844)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204844)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204844)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204844)Termination reason: Instruction limit
% 18.43/3.12 % (204844)Termination phase: Finite model building constraint generation
% 18.43/3.12 % (204844)Time elapsed: 0.165 s
% 18.43/3.12 % (204844)Peak memory usage: 51 MB
% 18.43/3.12 % (204844)Instructions burned: 928 (million)
% 18.43/3.12 % (204846)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=750131057:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 18.43/3.12 % (204832)Instruction limit reached!
% 18.43/3.12 % (204832)------------------------------
% 18.43/3.12 % (204832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204832)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204832)Termination reason: Instruction limit
% 18.43/3.12 % (204832)Termination phase: Saturation
% 18.43/3.12 % (204832)Time elapsed: 0.716 s
% 18.43/3.12 % (204832)Peak memory usage: 24 MB
% 18.43/3.12 % (204832)Instructions burned: 1180 (million)
% 18.43/3.12 % (204838)Instruction limit reached!
% 18.43/3.12 % (204838)------------------------------
% 18.43/3.12 % (204838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204838)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204838)Termination reason: Instruction limit
% 18.43/3.12 % (204838)Termination phase: Saturation
% 18.43/3.12 % (204838)Time elapsed: 0.467 s
% 18.43/3.12 % (204838)Peak memory usage: 18 MB
% 18.43/3.12 % (204838)Instructions burned: 879 (million)
% 18.43/3.12 % (204848)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1033795736:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 18.43/3.12 % (204849)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1334992633:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 18.43/3.12 % (204849)Cannot represent all propositional literals internally
% 18.43/3.12 % (204849)Refutation not found, incomplete strategy
% 18.43/3.12 % (204849)------------------------------
% 18.43/3.12 % (204849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204849)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204849)Termination reason: Refutation not found, incomplete strategy
% 18.43/3.12 % (204849)Time elapsed: 0.008 s
% 18.43/3.12 % (204849)Peak memory usage: 11 MB
% 18.43/3.12 % (204849)Instructions burned: 15 (million)
% 18.43/3.12 % (204849)------------------------------
% 18.43/3.12 % (204849)------------------------------
% 18.43/3.12 % (204852)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3919320457:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 18.43/3.12 % (204852)Cannot represent all propositional literals internally
% 18.43/3.12 % (204852)Refutation not found, incomplete strategy
% 18.43/3.12 % (204852)------------------------------
% 18.43/3.12 % (204852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204852)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204852)Termination reason: Refutation not found, incomplete strategy
% 18.43/3.12 % (204852)Time elapsed: 0.082 s
% 18.43/3.12 % (204852)Peak memory usage: 12 MB
% 18.43/3.12 % (204852)Instructions burned: 166 (million)
% 18.43/3.12 % (204852)------------------------------
% 18.43/3.12 % (204852)------------------------------
% 18.43/3.12 % (204854)ott-2_1_sil=16000:newcnf=on:random_seed=37540649:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 18.43/3.12 % (204854)Instruction limit reached!
% 18.43/3.12 % (204854)------------------------------
% 18.43/3.12 % (204854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204854)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204854)Termination reason: Instruction limit
% 18.43/3.12 % (204854)Termination phase: Saturation
% 18.43/3.12 % (204854)Time elapsed: 0.528 s
% 18.43/3.12 % (204854)Peak memory usage: 17 MB
% 18.43/3.12 % (204854)Instructions burned: 870 (million)
% 18.43/3.12 % (204856)ott+10_1_sil=32000:tgt=ground:random_seed=4103590718:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 18.43/3.12 % (204848)Instruction limit reached!
% 18.43/3.12 % (204848)------------------------------
% 18.43/3.12 % (204848)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204848)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204848)Termination reason: Instruction limit
% 18.43/3.12 % (204848)Termination phase: Saturation
% 18.43/3.12 % (204848)Time elapsed: 0.913 s
% 18.43/3.12 % (204848)Peak memory usage: 30 MB
% 18.43/3.12 % (204848)Instructions burned: 1472 (million)
% 18.43/3.12 % (204858)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1472301437:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 18.43/3.12 % TRYING [1]
% 18.43/3.12 % TRYING [2]
% 18.43/3.12 % TRYING [3]
% 18.43/3.12 % (204846)Instruction limit reached!
% 18.43/3.12 % (204846)------------------------------
% 18.43/3.12 % (204846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204846)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204846)Termination reason: Instruction limit
% 18.43/3.12 % (204846)Termination phase: Saturation
% 18.43/3.12 % (204846)Time elapsed: 1.690 s
% 18.43/3.12 % (204846)Peak memory usage: 38 MB
% 18.43/3.12 % (204846)Instructions burned: 5133 (million)
% 18.43/3.12 % (204860)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=1739864927:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 18.43/3.12 % (204856) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-204801-204856"...
% 18.43/3.12 % (204856)...printing done.
% 18.43/3.12 % (204856)Refutation found. Thanks to Tanya!
% 18.43/3.12 % SZS status Theorem for theBenchmark
% 18.43/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 18.43/3.12 % (204856)------------------------------
% 18.43/3.12 % (204856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.43/3.12 % (204856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.43/3.12 % (204856)CaDiCaL version: 2.1.3
% 18.43/3.12 % (204856)Termination reason: Refutation
% 18.43/3.12 % (204856)Time elapsed: 0.945 s
% 18.43/3.12 % (204856)Peak memory usage: 28 MB
% 18.43/3.12 % (204856)Instructions burned: 1536 (million)
% 18.43/3.12 % (204801)Success in time 2.688 s
% 18.43/3.12 % Vampire exiting
%------------------------------------------------------------------------------