%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO570+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 : n017.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 09:54:45 AM UTC 2026
% Result : Theorem 16.31s 2.98s
% Output : Refutation 16.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 27
% Syntax : Number of formulae : 152 ( 21 unt; 0 def)
% Number of atoms : 417 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 443 ( 178 ~; 174 |; 63 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-6 aty)
% Number of variables : 688 ( 667 !; 21 ?)
% 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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214032) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X1) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(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(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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X1)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X1)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X2)
& coll(X5,X1,X4)
& perp(X6,X5,X2,X4)
& coll(X6,X2,X4)
& perp(X7,X5,X0,X1)
& coll(X7,X0,X1) ),
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(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK21)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK28)
& coll(sK25,sK20,sK22)
& coll(sK25,sK21,sK24)
& perp(sK26,sK25,sK22,sK24)
& coll(sK26,sK22,sK24)
& perp(sK27,sK25,sK20,sK21)
& coll(sK27,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),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)],[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(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(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(f385,plain,
perp(sK27,sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f421,plain,
perp(sK20,sK21,sK27,sK25),
inference(resolution,[],[f278,f385]) ).
fof(f434,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f529,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK27,sK25) ),
inference(resolution,[],[f279,f421]) ).
fof(f571,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(f604,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(f605,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f617,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(f783,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(f792,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(f954,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(f1398,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f571,f434]) ).
fof(f1503,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f604,f309]) ).
fof(f1536,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f605,f291]) ).
fof(f1683,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f617,f313]) ).
fof(f1684,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f617,f312]) ).
fof(f1694,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1683,f1684]) ).
fof(f3236,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,[],[f954,f604]) ).
fof(f3355,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,[],[f783,f792]) ).
fof(f3362,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3355]) ).
fof(f4999,plain,
para(sK27,sK25,sK27,sK25),
inference(resolution,[],[f529,f385]) ).
fof(f10502,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1503,f4999]) ).
fof(f10504,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10502,f337]) ).
fof(f10509,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10502,f335]) ).
fof(f10513,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f10502,f274]) ).
fof(f10530,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10509,f10502]) ).
fof(f10535,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10504,f272]) ).
fof(f10781,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10535,f271]) ).
fof(f11012,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1694,f10502]) ).
fof(f11021,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f10781,f273]) ).
fof(f11066,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11021,f10781]) ).
fof(f14653,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ coll(X2,X1,X0) ),
inference(resolution,[],[f10513,f316]) ).
fof(f14671,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0) ),
inference(forward_subsumption_resolution,[],[f14653,f11066]) ).
fof(f14691,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11012,f287]) ).
fof(f14720,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14691,f11012]) ).
fof(f14893,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,[],[f1536,f314]) ).
fof(f14906,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,[],[f14893]) ).
fof(f14907,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14906,f14720]) ).
fof(f14919,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14907,f14720]) ).
fof(f14922,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f14919,f14720]) ).
fof(f14925,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14922,f338]) ).
fof(f14956,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f14925,f11066]) ).
fof(f18017,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10530,f14956]) ).
fof(f19991,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[],[f14671,f18017]) ).
fof(f20028,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f19991,f1398]) ).
fof(f20057,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f20028,f19991]) ).
fof(f20929,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f20057,f338]) ).
fof(f21025,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f20929,f11066]) ).
fof(f21051,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f21025,f3362]) ).
fof(f21092,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f21051,f21025]) ).
fof(f29381,plain,
( ~ para(sK20,sK25,sK27,sK25)
| ~ para(sK25,sK26,sK25,sK21) ),
inference(resolution,[],[f3236,f392]) ).
fof(f29431,plain,
~ para(sK20,sK25,sK27,sK25),
inference(forward_subsumption_resolution,[],[f29381,f21092]) ).
fof(f29443,plain,
$false,
inference(forward_subsumption_resolution,[],[f29431,f21092]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO570+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 08:27:50 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/1.47 % (2238326)Will run a generic schedule for satisfiability detection.
% 6.68/1.47 % (2238334)dis+10_1_sil=32000:sp=arity:random_seed=3862549373:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.68/1.47 % (2238332)% WARNING: option uhcvi not known.
% 6.68/1.47 % (2238331)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1985170838_2999 on theBenchmark for (2999ds/0Mi)
% 6.68/1.47 % (2238332)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1067515579:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.68/1.47 % (2238333)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=786623245:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.68/1.47 % (2238335)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1231923760:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.68/1.47 % (2238336)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2455910449:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/1.47 % (2238337)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=719796189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.68/1.47 % TRYING [1]
% 6.68/1.47 % TRYING [2]
% 6.68/1.47 % (2238334)Instruction limit reached!
% 6.68/1.47 % (2238334)------------------------------
% 6.68/1.47 % (2238334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.47 % (2238334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.47 % (2238334)CaDiCaL version: 2.1.3
% 6.68/1.47 % (2238334)Termination reason: Instruction limit
% 6.68/1.47 % (2238334)Termination phase: Saturation
% 6.68/1.47 % (2238334)Time elapsed: 0.037 s
% 6.68/1.47 % (2238334)Peak memory usage: 12 MB
% 6.68/1.47 % (2238334)Instructions burned: 104 (million)
% 6.68/1.47 % TRYING [3]
% 6.68/1.47 % (2238345)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3640445733:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.68/1.47 % TRYING [1]
% 6.68/1.47 % TRYING [2]
% 6.68/1.47 % (2238335)Instruction limit reached!
% 6.68/1.47 % (2238335)------------------------------
% 6.68/1.47 % (2238335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.47 % (2238335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.47 % (2238335)CaDiCaL version: 2.1.3
% 6.68/1.47 % (2238335)Termination reason: Instruction limit
% 6.68/1.47 % (2238335)Termination phase: Saturation
% 6.68/1.47 % (2238335)Time elapsed: 0.070 s
% 6.68/1.47 % (2238335)Peak memory usage: 13 MB
% 6.68/1.47 % (2238335)Instructions burned: 117 (million)
% 6.68/1.47 % TRYING [3]
% 6.68/1.47 % (2238336)Instruction limit reached!
% 6.68/1.47 % (2238336)------------------------------
% 6.68/1.47 % (2238336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.47 % (2238336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.47 % (2238336)CaDiCaL version: 2.1.3
% 6.68/1.47 % (2238336)Termination reason: Instruction limit
% 6.68/1.47 % (2238336)Termination phase: Saturation
% 6.68/1.47 % (2238336)Time elapsed: 0.085 s
% 6.68/1.47 % (2238336)Peak memory usage: 14 MB
% 6.68/1.47 % (2238336)Instructions burned: 132 (million)
% 6.68/1.47 % (2238347)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3647681943:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.68/1.47 % (2238337)Instruction limit reached!
% 6.68/1.47 % (2238337)------------------------------
% 6.68/1.47 % (2238337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.47 % (2238337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/1.47 % (2238337)CaDiCaL version: 2.1.3
% 6.68/1.47 % (2238337)Termination reason: Instruction limit
% 6.68/1.47 % (2238337)Termination phase: Saturation
% 6.68/1.47 % (2238337)Time elapsed: 0.093 s
% 6.68/1.47 % (2238337)Peak memory usage: 14 MB
% 6.68/1.47 % (2238337)Instructions burned: 160 (million)
% 6.68/1.47 % (2238348)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=1435111211:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.68/1.47 % (2238350)ott-21_1_sil=16000:fs=off:random_seed=2646771166:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.68/1.47 % (2238347)Instruction limit reached!
% 6.68/1.47 % (2238347)------------------------------
% 6.68/1.47 % (2238347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/1.47 % (2238347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238347)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238347)Termination reason: Instruction limit
% 16.31/2.98 % (2238347)Termination phase: Saturation
% 16.31/2.98 % (2238347)Time elapsed: 0.084 s
% 16.31/2.98 % (2238347)Peak memory usage: 14 MB
% 16.31/2.98 % (2238347)Instructions burned: 131 (million)
% 16.31/2.98 % (2238345)Instruction limit reached!
% 16.31/2.98 % (2238345)------------------------------
% 16.31/2.98 % (2238345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238345)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238345)Termination reason: Instruction limit
% 16.31/2.98 % (2238345)Termination phase: Finite model building constraint generation
% 16.31/2.98 % (2238345)Time elapsed: 0.134 s
% 16.31/2.98 % (2238345)Peak memory usage: 24 MB
% 16.31/2.98 % (2238345)Instructions burned: 720 (million)
% 16.31/2.98 % (2238354)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3340413701:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.31/2.98 % TRYING [1]
% 16.31/2.98 % TRYING [2]
% 16.31/2.98 % (2238353)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2711296086:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.31/2.98 % (2238350)Instruction limit reached!
% 16.31/2.98 % (2238350)------------------------------
% 16.31/2.98 % (2238350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238350)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238350)Termination reason: Instruction limit
% 16.31/2.98 % (2238350)Termination phase: Saturation
% 16.31/2.98 % (2238350)Time elapsed: 0.094 s
% 16.31/2.98 % (2238350)Peak memory usage: 13 MB
% 16.31/2.98 % (2238350)Instructions burned: 182 (million)
% 16.31/2.98 % TRYING [3]
% 16.31/2.98 % (2238357)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3547683795:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.31/2.98 % (2238354)Instruction limit reached!
% 16.31/2.98 % (2238354)------------------------------
% 16.31/2.98 % (2238354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238354)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238354)Termination reason: Instruction limit
% 16.31/2.98 % (2238354)Termination phase: Finite model building constraint generation
% 16.31/2.98 % (2238354)Time elapsed: 0.164 s
% 16.31/2.98 % (2238354)Peak memory usage: 50 MB
% 16.31/2.98 % (2238354)Instructions burned: 871 (million)
% 16.31/2.98 % (2238359)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1212805610:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 16.31/2.98 % (2238359)Cannot represent all propositional literals internally
% 16.31/2.98 % (2238359)Refutation not found, incomplete strategy
% 16.31/2.98 % (2238359)------------------------------
% 16.31/2.98 % (2238359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238359)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238359)Termination reason: Refutation not found, incomplete strategy
% 16.31/2.98 % (2238359)Time elapsed: 0.003 s
% 16.31/2.98 % (2238359)Peak memory usage: 10 MB
% 16.31/2.98 % (2238359)Instructions burned: 13 (million)
% 16.31/2.98 % (2238359)------------------------------
% 16.31/2.98 % (2238359)------------------------------
% 16.31/2.98 % (2238361)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=1788946788: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)
% 16.31/2.98 % (2238353)Instruction limit reached!
% 16.31/2.98 % (2238353)------------------------------
% 16.31/2.98 % (2238353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238353)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238353)Termination reason: Instruction limit
% 16.31/2.98 % (2238353)Termination phase: Saturation
% 16.31/2.98 % (2238353)Time elapsed: 0.287 s
% 16.31/2.98 % (2238353)Peak memory usage: 14 MB
% 16.31/2.98 % (2238353)Instructions burned: 477 (million)
% 16.31/2.98 % (2238363)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=646380645:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.31/2.98 % (2238348)Instruction limit reached!
% 16.31/2.98 % (2238348)------------------------------
% 16.31/2.98 % (2238348)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238348)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238348)Termination reason: Instruction limit
% 16.31/2.98 % (2238348)Termination phase: Saturation
% 16.31/2.98 % (2238348)Time elapsed: 0.399 s
% 16.31/2.98 % (2238348)Peak memory usage: 20 MB
% 16.31/2.98 % (2238348)Instructions burned: 685 (million)
% 16.31/2.98 % (2238365)fmb+10_1_sil=64000:random_seed=123789514:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 16.31/2.98 % TRYING [1]
% 16.31/2.98 % TRYING [2]
% 16.31/2.98 % (2238361)Instruction limit reached!
% 16.31/2.98 % (2238361)------------------------------
% 16.31/2.98 % (2238361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238361)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238361)Termination reason: Instruction limit
% 16.31/2.98 % (2238361)Termination phase: Saturation
% 16.31/2.98 % (2238361)Time elapsed: 0.218 s
% 16.31/2.98 % (2238361)Peak memory usage: 21 MB
% 16.31/2.98 % (2238361)Instructions burned: 695 (million)
% 16.31/2.98 % (2238367)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2801064444:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 16.31/2.98 % (2238367)Cannot represent all propositional literals internally
% 16.31/2.98 % (2238367)Refutation not found, incomplete strategy
% 16.31/2.98 % (2238367)------------------------------
% 16.31/2.98 % (2238367)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238367)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238367)Termination reason: Refutation not found, incomplete strategy
% 16.31/2.98 % (2238367)Time elapsed: 0.003 s
% 16.31/2.98 % (2238367)Peak memory usage: 10 MB
% 16.31/2.98 % (2238367)Instructions burned: 13 (million)
% 16.31/2.98 % (2238367)------------------------------
% 16.31/2.98 % (2238367)------------------------------
% 16.31/2.98 % TRYING [3]
% 16.31/2.98 % (2238369)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4165275745:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 16.31/2.98 % TRYING [8]
% 16.31/2.98 % (2238369)Instruction limit reached!
% 16.31/2.98 % (2238369)------------------------------
% 16.31/2.98 % (2238369)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238369)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238369)Termination reason: Instruction limit
% 16.31/2.98 % (2238369)Termination phase: Finite model building constraint generation
% 16.31/2.98 % (2238369)Time elapsed: 0.157 s
% 16.31/2.98 % (2238369)Peak memory usage: 46 MB
% 16.31/2.98 % (2238369)Instructions burned: 923 (million)
% 16.31/2.98 % (2238371)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2791413319:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 16.31/2.98 % (2238357)Instruction limit reached!
% 16.31/2.98 % (2238357)------------------------------
% 16.31/2.98 % (2238357)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238357)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238357)Termination reason: Instruction limit
% 16.31/2.98 % (2238357)Termination phase: Saturation
% 16.31/2.98 % (2238357)Time elapsed: 0.717 s
% 16.31/2.98 % (2238357)Peak memory usage: 23 MB
% 16.31/2.98 % (2238357)Instructions burned: 1179 (million)
% 16.31/2.98 % (2238373)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1693510741:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 16.31/2.98 % (2238363)Instruction limit reached!
% 16.31/2.98 % (2238363)------------------------------
% 16.31/2.98 % (2238363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238363)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238363)Termination reason: Instruction limit
% 16.31/2.98 % (2238363)Termination phase: Saturation
% 16.31/2.98 % (2238363)Time elapsed: 0.482 s
% 16.31/2.98 % (2238363)Peak memory usage: 18 MB
% 16.31/2.98 % (2238363)Instructions burned: 879 (million)
% 16.31/2.98 % (2238375)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2432617182:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 16.31/2.98 % (2238375)Cannot represent all propositional literals internally
% 16.31/2.98 % (2238375)Refutation not found, incomplete strategy
% 16.31/2.98 % (2238375)------------------------------
% 16.31/2.98 % (2238375)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238375)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238375)Termination reason: Refutation not found, incomplete strategy
% 16.31/2.98 % (2238375)Time elapsed: 0.008 s
% 16.31/2.98 % (2238375)Peak memory usage: 11 MB
% 16.31/2.98 % (2238375)Instructions burned: 16 (million)
% 16.31/2.98 % (2238375)------------------------------
% 16.31/2.98 % (2238375)------------------------------
% 16.31/2.98 % (2238377)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3815228709:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 16.31/2.98 % (2238377)Cannot represent all propositional literals internally
% 16.31/2.98 % (2238377)Refutation not found, incomplete strategy
% 16.31/2.98 % (2238377)------------------------------
% 16.31/2.98 % (2238377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238377)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238377)Termination reason: Refutation not found, incomplete strategy
% 16.31/2.98 % (2238377)Time elapsed: 0.082 s
% 16.31/2.98 % (2238377)Peak memory usage: 12 MB
% 16.31/2.98 % (2238377)Instructions burned: 166 (million)
% 16.31/2.98 % (2238377)------------------------------
% 16.31/2.98 % (2238377)------------------------------
% 16.31/2.98 % (2238379)ott-2_1_sil=16000:newcnf=on:random_seed=2464337483:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 16.31/2.98 % (2238379)Instruction limit reached!
% 16.31/2.98 % (2238379)------------------------------
% 16.31/2.98 % (2238379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238379)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238379)Termination reason: Instruction limit
% 16.31/2.98 % (2238379)Termination phase: Saturation
% 16.31/2.98 % (2238379)Time elapsed: 0.542 s
% 16.31/2.98 % (2238379)Peak memory usage: 18 MB
% 16.31/2.98 % (2238379)Instructions burned: 869 (million)
% 16.31/2.98 % (2238381)ott+10_1_sil=32000:tgt=ground:random_seed=2569504052:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 16.31/2.98 % (2238373)Instruction limit reached!
% 16.31/2.98 % (2238373)------------------------------
% 16.31/2.98 % (2238373)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238373)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238373)Termination reason: Instruction limit
% 16.31/2.98 % (2238373)Termination phase: Saturation
% 16.31/2.98 % (2238373)Time elapsed: 1.016 s
% 16.31/2.98 % (2238373)Peak memory usage: 37 MB
% 16.31/2.98 % (2238373)Instructions burned: 1472 (million)
% 16.31/2.98 % (2238383)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4271678563:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 16.31/2.98 % TRYING [1]
% 16.31/2.98 % TRYING [2]
% 16.31/2.98 % TRYING [3]
% 16.31/2.98 % (2238381) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2238326-2238381"...
% 16.31/2.98 % (2238381)...printing done.
% 16.31/2.98 % (2238381)Refutation found. Thanks to Tanya!
% 16.31/2.98 % SZS status Theorem for theBenchmark
% 16.31/2.98 % SZS output start Proof for theBenchmark
% See solution above
% 16.31/2.98 % (2238381)------------------------------
% 16.31/2.98 % (2238381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.31/2.98 % (2238381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.31/2.98 % (2238381)CaDiCaL version: 2.1.3
% 16.31/2.98 % (2238381)Termination reason: Refutation
% 16.31/2.98 % (2238381)Time elapsed: 0.755 s
% 16.31/2.98 % (2238381)Peak memory usage: 25 MB
% 16.31/2.98 % (2238381)Instructions burned: 1198 (million)
% 16.31/2.98 % (2238326)Success in time 2.547 s
% 16.31/2.98 % Vampire exiting
%------------------------------------------------------------------------------