%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO581+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 : n026.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 09:54:47 AM UTC 2026
% Result : Theorem 15.34s 2.77s
% Output : Refutation 15.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 28
% Syntax : Number of formulae : 168 ( 31 unt; 0 def)
% Number of atoms : 424 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 439 ( 183 ~; 179 |; 48 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-6 aty)
% Number of variables : 715 ( 700 !; 15 ?)
% 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(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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] :
( ( perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416043) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) )
=> eqangle(X0,X2,X2,X5,X5,X2,X2,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(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
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] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X2,X2,X5,X5,X2,X2,X1)
& perp(X2,X0,X2,X1)
& eqangle(X1,X0,X0,X4,X0,X4,X4,X3)
& cong(X0,X4,X4,X3)
& coll(X5,X1,X4)
& coll(X5,X0,X3) ),
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,sK22,sK22,sK25,sK25,sK22,sK22,sK21)
& perp(sK22,sK20,sK22,sK21)
& eqangle(sK21,sK20,sK20,sK24,sK20,sK24,sK24,sK23)
& cong(sK20,sK24,sK24,sK23)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK23) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[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(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
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(f387,plain,
eqangle(sK21,sK20,sK20,sK24,sK20,sK24,sK24,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ eqangle(sK20,sK22,sK22,sK25,sK25,sK22,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f411,plain,
perp(sK22,sK21,sK22,sK20),
inference(resolution,[],[f278,f388]) ).
fof(f425,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X2,X1) ),
inference(resolution,[],[f294,f339]) ).
fof(f509,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK20)
| para(X0,X1,sK22,sK21) ),
inference(resolution,[],[f279,f388]) ).
fof(f535,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(f588,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(f589,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f595,plain,
eqangle(sK20,sK24,sK24,sK23,sK21,sK20,sK20,sK24),
inference(resolution,[],[f290,f387]) ).
fof(f601,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(f782,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(f791,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(f972,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,sK21,sK20,sK20,sK24)
| eqangle(X0,X1,X2,X3,sK20,sK24,sK24,sK23) ),
inference(resolution,[],[f292,f387]) ).
fof(f973,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(f1160,plain,
para(sK22,sK21,sK22,sK21),
inference(resolution,[],[f509,f411]) ).
fof(f1186,plain,
eqangle(sK20,sK24,sK24,sK23,sK20,sK24,sK24,sK23),
inference(resolution,[],[f972,f595]) ).
fof(f1318,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X3,X2)
| cong(X0,X1,X0,X2)
| ~ midp(X0,X3,X1) ),
inference(resolution,[],[f535,f425]) ).
fof(f1426,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f588,f309]) ).
fof(f1460,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f589,f291]) ).
fof(f1611,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f601,f313]) ).
fof(f1612,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f601,f312]) ).
fof(f1622,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1611,f1612]) ).
fof(f3542,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,[],[f973,f588]) ).
fof(f3634,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,[],[f782,f791]) ).
fof(f3641,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2)
| para(X4,X2,X3,X1) ),
inference(duplicate_literal_removal,[],[f3634]) ).
fof(f5838,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f1186,f309]) ).
fof(f5858,plain,
para(sK20,sK24,sK24,sK20),
inference(resolution,[],[f5838,f274]) ).
fof(f5889,plain,
para(sK24,sK20,sK20,sK24),
inference(resolution,[],[f5858,f275]) ).
fof(f5902,plain,
para(sK24,sK20,sK24,sK20),
inference(resolution,[],[f5889,f274]) ).
fof(f7776,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1426,f5902]) ).
fof(f7778,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f7776,f337]) ).
fof(f7783,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f7776,f335]) ).
fof(f7787,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f7776,f274]) ).
fof(f7797,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f7783,f7776]) ).
fof(f7801,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f7778,f272]) ).
fof(f7961,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f7801,f271]) ).
fof(f8103,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1622,f7776]) ).
fof(f8107,plain,
! [X0] : cyclic(sK21,sK21,sK22,X0),
inference(resolution,[],[f1622,f1160]) ).
fof(f8110,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f7961,f273]) ).
fof(f8138,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f8110,f7961]) ).
fof(f9469,plain,
! [X0,X1] :
( ~ cyclic(sK21,sK21,sK22,X0)
| cyclic(sK21,sK22,X0,X1) ),
inference(resolution,[],[f8107,f287]) ).
fof(f9491,plain,
! [X0,X1] : cyclic(sK21,sK22,X0,X1),
inference(forward_subsumption_resolution,[],[f9469,f8103]) ).
fof(f9920,plain,
! [X2,X0,X1] :
( ~ cyclic(sK21,sK22,X0,X1)
| cyclic(sK22,X0,X1,X2) ),
inference(resolution,[],[f9491,f287]) ).
fof(f9942,plain,
! [X2,X0,X1] : cyclic(sK22,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f9920,f9491]) ).
fof(f10620,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK22,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f9942,f287]) ).
fof(f10648,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f10620,f9942]) ).
fof(f11143,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,[],[f1460,f314]) ).
fof(f11156,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,[],[f11143]) ).
fof(f11157,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f11156,f10648]) ).
fof(f11167,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f11157,f10648]) ).
fof(f11170,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f11167,f10648]) ).
fof(f11173,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f11170,f338]) ).
fof(f11208,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f11173,f8138]) ).
fof(f12066,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0)
| ~ coll(X2,X1,X0) ),
inference(resolution,[],[f7787,f316]) ).
fof(f12081,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| midp(X2,X1,X0) ),
inference(forward_subsumption_resolution,[],[f12066,f8138]) ).
fof(f14062,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f7797,f11208]) ).
fof(f15474,plain,
! [X0,X1] : midp(X0,X0,X1),
inference(resolution,[],[f12081,f14062]) ).
fof(f15524,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X0,X1) ),
inference(resolution,[],[f15474,f1318]) ).
fof(f15552,plain,
! [X2,X0,X1] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f15524,f15474]) ).
fof(f16441,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(resolution,[],[f15552,f338]) ).
fof(f16501,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f16441,f8138]) ).
fof(f16562,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X0,X1,X2)
| para(X3,X2,X4,X1) ),
inference(resolution,[],[f16501,f3641]) ).
fof(f16594,plain,
! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
inference(forward_subsumption_resolution,[],[f16562,f16501]) ).
fof(f23392,plain,
( ~ para(sK20,sK22,sK25,sK22)
| ~ para(sK22,sK25,sK22,sK21) ),
inference(resolution,[],[f3542,f389]) ).
fof(f23446,plain,
~ para(sK20,sK22,sK25,sK22),
inference(forward_subsumption_resolution,[],[f23392,f16594]) ).
fof(f23460,plain,
$false,
inference(forward_subsumption_resolution,[],[f23446,f16594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO581+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 08:36:56 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.77/1.45 % (2528909)Will run a generic schedule for satisfiability detection.
% 6.77/1.45 % (2528920)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3427515966:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.77/1.45 % (2528915)% WARNING: option uhcvi not known.
% 6.77/1.45 % (2528916)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2095961514:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.77/1.45 % (2528918)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=174080890:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.77/1.45 % (2528914)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2325226026_2999 on theBenchmark for (2999ds/0Mi)
% 6.77/1.45 % (2528915)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3302370955:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.77/1.45 % (2528917)dis+10_1_sil=32000:sp=arity:random_seed=711387735:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.77/1.45 % (2528919)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3324570889:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.77/1.45 % TRYING [1]
% 6.77/1.45 % TRYING [2]
% 6.77/1.45 % TRYING [3]
% 6.77/1.45 % (2528920)Instruction limit reached!
% 6.77/1.45 % (2528920)------------------------------
% 6.77/1.45 % (2528920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.45 % (2528920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.45 % (2528920)CaDiCaL version: 2.1.3
% 6.77/1.45 % (2528920)Termination reason: Instruction limit
% 6.77/1.45 % (2528920)Termination phase: Saturation
% 6.77/1.45 % (2528920)Time elapsed: 0.050 s
% 6.77/1.45 % (2528920)Peak memory usage: 14 MB
% 6.77/1.45 % (2528920)Instructions burned: 159 (million)
% 6.77/1.45 % (2528928)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1530051693:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.77/1.45 % TRYING [1]
% 6.77/1.45 % TRYING [2]
% 6.77/1.45 % (2528918)Instruction limit reached!
% 6.77/1.45 % (2528918)------------------------------
% 6.77/1.45 % (2528918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.45 % (2528918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.45 % (2528918)CaDiCaL version: 2.1.3
% 6.77/1.45 % (2528918)Termination reason: Instruction limit
% 6.77/1.45 % (2528918)Termination phase: Saturation
% 6.77/1.45 % (2528918)Time elapsed: 0.067 s
% 6.77/1.45 % (2528918)Peak memory usage: 13 MB
% 6.77/1.45 % (2528918)Instructions burned: 116 (million)
% 6.77/1.45 % (2528917)Instruction limit reached!
% 6.77/1.45 % (2528917)------------------------------
% 6.77/1.45 % (2528917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.45 % (2528917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.45 % (2528917)CaDiCaL version: 2.1.3
% 6.77/1.45 % (2528917)Termination reason: Instruction limit
% 6.77/1.45 % (2528917)Termination phase: Saturation
% 6.77/1.45 % (2528917)Time elapsed: 0.067 s
% 6.77/1.45 % (2528917)Peak memory usage: 13 MB
% 6.77/1.45 % (2528917)Instructions burned: 104 (million)
% 6.77/1.45 % TRYING [3]
% 6.77/1.45 % (2528919)Instruction limit reached!
% 6.77/1.45 % (2528919)------------------------------
% 6.77/1.45 % (2528919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.45 % (2528919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/1.45 % (2528919)CaDiCaL version: 2.1.3
% 6.77/1.45 % (2528919)Termination reason: Instruction limit
% 6.77/1.45 % (2528919)Termination phase: Saturation
% 6.77/1.45 % (2528919)Time elapsed: 0.084 s
% 6.77/1.45 % (2528919)Peak memory usage: 14 MB
% 6.77/1.45 % (2528919)Instructions burned: 131 (million)
% 6.77/1.45 % (2528930)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4131962500:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.77/1.45 % (2528931)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=310178262:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.77/1.45 % (2528932)ott-21_1_sil=16000:fs=off:random_seed=3268413193:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.77/1.45 % (2528930)Instruction limit reached!
% 6.77/1.45 % (2528930)------------------------------
% 6.77/1.45 % (2528930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.77/1.45 % (2528930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528930)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528930)Termination reason: Instruction limit
% 15.34/2.77 % (2528930)Termination phase: Saturation
% 15.34/2.77 % (2528930)Time elapsed: 0.086 s
% 15.34/2.77 % (2528930)Peak memory usage: 14 MB
% 15.34/2.77 % (2528930)Instructions burned: 132 (million)
% 15.34/2.77 % (2528928)Instruction limit reached!
% 15.34/2.77 % (2528928)------------------------------
% 15.34/2.77 % (2528928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528928)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528928)Termination reason: Instruction limit
% 15.34/2.77 % (2528928)Termination phase: Finite model building constraint generation
% 15.34/2.77 % (2528928)Time elapsed: 0.132 s
% 15.34/2.77 % (2528928)Peak memory usage: 24 MB
% 15.34/2.77 % (2528928)Instructions burned: 715 (million)
% 15.34/2.77 % (2528936)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1108416906:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 15.34/2.77 % (2528937)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1345927450:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.34/2.77 % (2528932)Instruction limit reached!
% 15.34/2.77 % (2528932)------------------------------
% 15.34/2.77 % (2528932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528932)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528932)Termination reason: Instruction limit
% 15.34/2.77 % (2528932)Termination phase: Saturation
% 15.34/2.77 % (2528932)Time elapsed: 0.095 s
% 15.34/2.77 % (2528932)Peak memory usage: 13 MB
% 15.34/2.77 % (2528932)Instructions burned: 181 (million)
% 15.34/2.77 % TRYING [1]
% 15.34/2.77 % TRYING [2]
% 15.34/2.77 % (2528940)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1603915460:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 15.34/2.77 % TRYING [3]
% 15.34/2.77 % (2528937)Instruction limit reached!
% 15.34/2.77 % (2528937)------------------------------
% 15.34/2.77 % (2528937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528937)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528937)Termination reason: Instruction limit
% 15.34/2.77 % (2528937)Termination phase: Finite model building constraint generation
% 15.34/2.77 % (2528937)Time elapsed: 0.170 s
% 15.34/2.77 % (2528937)Peak memory usage: 50 MB
% 15.34/2.77 % (2528937)Instructions burned: 868 (million)
% 15.34/2.77 % (2528942)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2681093457:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.34/2.77 % (2528942)Cannot represent all propositional literals internally
% 15.34/2.77 % (2528942)Refutation not found, incomplete strategy
% 15.34/2.77 % (2528942)------------------------------
% 15.34/2.77 % (2528942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528942)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528942)Termination reason: Refutation not found, incomplete strategy
% 15.34/2.77 % (2528942)Time elapsed: 0.003 s
% 15.34/2.77 % (2528942)Peak memory usage: 10 MB
% 15.34/2.77 % (2528942)Instructions burned: 12 (million)
% 15.34/2.77 % (2528942)------------------------------
% 15.34/2.77 % (2528942)------------------------------
% 15.34/2.77 % (2528944)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=1601707959: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)
% 15.34/2.77 % (2528936)Instruction limit reached!
% 15.34/2.77 % (2528936)------------------------------
% 15.34/2.77 % (2528936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528936)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528936)Termination reason: Instruction limit
% 15.34/2.77 % (2528936)Termination phase: Saturation
% 15.34/2.77 % (2528936)Time elapsed: 0.288 s
% 15.34/2.77 % (2528936)Peak memory usage: 15 MB
% 15.34/2.77 % (2528936)Instructions burned: 478 (million)
% 15.34/2.77 % (2528946)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3399825786:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.34/2.77 % (2528931)Instruction limit reached!
% 15.34/2.77 % (2528931)------------------------------
% 15.34/2.77 % (2528931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528931)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528931)Termination reason: Instruction limit
% 15.34/2.77 % (2528931)Termination phase: Saturation
% 15.34/2.77 % (2528931)Time elapsed: 0.417 s
% 15.34/2.77 % (2528931)Peak memory usage: 18 MB
% 15.34/2.77 % (2528931)Instructions burned: 684 (million)
% 15.34/2.77 % (2528948)fmb+10_1_sil=64000:random_seed=2653994767:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 15.34/2.77 % TRYING [1]
% 15.34/2.77 % TRYING [2]
% 15.34/2.77 % (2528944)Instruction limit reached!
% 15.34/2.77 % (2528944)------------------------------
% 15.34/2.77 % (2528944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528944)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528944)Termination reason: Instruction limit
% 15.34/2.77 % (2528944)Termination phase: Saturation
% 15.34/2.77 % (2528944)Time elapsed: 0.218 s
% 15.34/2.77 % (2528944)Peak memory usage: 18 MB
% 15.34/2.77 % (2528944)Instructions burned: 693 (million)
% 15.34/2.77 % TRYING [3]
% 15.34/2.77 % (2528950)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=988133695:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 15.34/2.77 % (2528950)Cannot represent all propositional literals internally
% 15.34/2.77 % (2528950)Refutation not found, incomplete strategy
% 15.34/2.77 % (2528950)------------------------------
% 15.34/2.77 % (2528950)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528950)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528950)Termination reason: Refutation not found, incomplete strategy
% 15.34/2.77 % (2528950)Time elapsed: 0.003 s
% 15.34/2.77 % (2528950)Peak memory usage: 10 MB
% 15.34/2.77 % (2528950)Instructions burned: 12 (million)
% 15.34/2.77 % (2528950)------------------------------
% 15.34/2.77 % (2528950)------------------------------
% 15.34/2.77 % (2528952)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2532355923:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 15.34/2.77 % TRYING [8]
% 15.34/2.77 % (2528952)Instruction limit reached!
% 15.34/2.77 % (2528952)------------------------------
% 15.34/2.77 % (2528952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528952)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528952)Termination reason: Instruction limit
% 15.34/2.77 % (2528952)Termination phase: Finite model building constraint generation
% 15.34/2.77 % (2528952)Time elapsed: 0.158 s
% 15.34/2.77 % (2528952)Peak memory usage: 46 MB
% 15.34/2.77 % (2528952)Instructions burned: 920 (million)
% 15.34/2.77 % (2528954)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3266733766:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 15.34/2.77 % (2528940)Instruction limit reached!
% 15.34/2.77 % (2528940)------------------------------
% 15.34/2.77 % (2528940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528940)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528940)Termination reason: Instruction limit
% 15.34/2.77 % (2528940)Termination phase: Saturation
% 15.34/2.77 % (2528940)Time elapsed: 0.754 s
% 15.34/2.77 % (2528940)Peak memory usage: 23 MB
% 15.34/2.77 % (2528940)Instructions burned: 1180 (million)
% 15.34/2.77 % (2528946)Instruction limit reached!
% 15.34/2.77 % (2528946)------------------------------
% 15.34/2.77 % (2528946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528946)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528946)Termination reason: Instruction limit
% 15.34/2.77 % (2528946)Termination phase: Saturation
% 15.34/2.77 % (2528946)Time elapsed: 0.475 s
% 15.34/2.77 % (2528946)Peak memory usage: 18 MB
% 15.34/2.77 % (2528946)Instructions burned: 879 (million)
% 15.34/2.77 % (2528956)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2039668839:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 15.34/2.77 % (2528957)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1070431927:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 15.34/2.77 % (2528957)Cannot represent all propositional literals internally
% 15.34/2.77 % (2528957)Refutation not found, incomplete strategy
% 15.34/2.77 % (2528957)------------------------------
% 15.34/2.77 % (2528957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528957)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528957)Termination reason: Refutation not found, incomplete strategy
% 15.34/2.77 % (2528957)Time elapsed: 0.008 s
% 15.34/2.77 % (2528957)Peak memory usage: 11 MB
% 15.34/2.77 % (2528957)Instructions burned: 15 (million)
% 15.34/2.77 % (2528957)------------------------------
% 15.34/2.77 % (2528957)------------------------------
% 15.34/2.77 % (2528960)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2591076966:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 15.34/2.77 % (2528960)Cannot represent all propositional literals internally
% 15.34/2.77 % (2528960)Refutation not found, incomplete strategy
% 15.34/2.77 % (2528960)------------------------------
% 15.34/2.77 % (2528960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528960)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528960)Termination reason: Refutation not found, incomplete strategy
% 15.34/2.77 % (2528960)Time elapsed: 0.082 s
% 15.34/2.77 % (2528960)Peak memory usage: 12 MB
% 15.34/2.77 % (2528960)Instructions burned: 166 (million)
% 15.34/2.77 % (2528960)------------------------------
% 15.34/2.77 % (2528960)------------------------------
% 15.34/2.77 % (2528962)ott-2_1_sil=16000:newcnf=on:random_seed=827093453:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 15.34/2.77 % (2528962)Instruction limit reached!
% 15.34/2.77 % (2528962)------------------------------
% 15.34/2.77 % (2528962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528962)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528962)Termination reason: Instruction limit
% 15.34/2.77 % (2528962)Termination phase: Saturation
% 15.34/2.77 % (2528962)Time elapsed: 0.560 s
% 15.34/2.77 % (2528962)Peak memory usage: 18 MB
% 15.34/2.77 % (2528962)Instructions burned: 869 (million)
% 15.34/2.77 % (2528964)ott+10_1_sil=32000:tgt=ground:random_seed=1596949091:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 15.34/2.77 % (2528956)Instruction limit reached!
% 15.34/2.77 % (2528956)------------------------------
% 15.34/2.77 % (2528956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528956)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528956)Termination reason: Instruction limit
% 15.34/2.77 % (2528956)Termination phase: Saturation
% 15.34/2.77 % (2528956)Time elapsed: 1.017 s
% 15.34/2.77 % (2528956)Peak memory usage: 34 MB
% 15.34/2.77 % (2528956)Instructions burned: 1472 (million)
% 15.34/2.77 % (2528966)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3285872056:i=54282_2979 on theBenchmark for (2979ds/54282Mi)
% 15.34/2.77 % TRYING [1]
% 15.34/2.77 % TRYING [2]
% 15.34/2.77 % TRYING [3]
% 15.34/2.77 % (2528964) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2528909-2528964"...
% 15.34/2.77 % (2528964)...printing done.
% 15.34/2.77 % (2528964)Refutation found. Thanks to Tanya!
% 15.34/2.77 % SZS status Theorem for theBenchmark
% 15.34/2.77 % SZS output start Proof for theBenchmark
% See solution above
% 15.34/2.77 % (2528964)------------------------------
% 15.34/2.77 % (2528964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.34/2.77 % (2528964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.34/2.77 % (2528964)CaDiCaL version: 2.1.3
% 15.34/2.77 % (2528964)Termination reason: Refutation
% 15.34/2.77 % (2528964)Time elapsed: 0.568 s
% 15.34/2.77 % (2528964)Peak memory usage: 22 MB
% 15.34/2.77 % (2528964)Instructions burned: 894 (million)
% 15.34/2.77 % (2528909)Success in time 2.349 s
% 15.34/2.77 % Vampire exiting
%------------------------------------------------------------------------------