%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO576+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:46 AM UTC 2026
% Result : Theorem 6.89s 3.40s
% Output : Refutation 6.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 28
% Syntax : Number of formulae : 166 ( 34 unt; 0 def)
% Number of atoms : 405 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 405 ( 166 ~; 162 |; 48 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 682 ( 666 !; 16 ?)
% 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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f29,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD29) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& coll(X2,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X5)
& eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f71,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X4,X0,X1)
& midp(X5,X2,X3) )
=> eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(f76,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
& cong(X4,X5,X6,X7) )
=> cong(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& circle(X4,X0,X1,X2)
& circle(X4,X0,X5,X7)
& coll(X5,X0,X3)
& perp(X0,X2,X5,X6)
& coll(X6,X1,X2) )
=> eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214038) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& circle(X4,X0,X1,X2)
& circle(X4,X0,X5,X7)
& coll(X5,X0,X3)
& perp(X0,X2,X5,X6)
& coll(X6,X1,X2) )
=> eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
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(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f135,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f29]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f40]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
fof(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f202,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(ennf_transformation,[],[f71]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(flattening,[],[f202]) ).
fof(f212,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f76]) ).
fof(f213,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( cong(X0,X1,X2,X3)
| ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ cong(X4,X5,X6,X7) ),
inference(flattening,[],[f212]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& circle(X4,X0,X1,X2)
& circle(X4,X0,X5,X7)
& coll(X5,X0,X3)
& perp(X0,X2,X5,X6)
& coll(X6,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6)
& perp(X3,X0,X1,X2)
& coll(X3,X1,X2)
& circle(X4,X0,X1,X2)
& circle(X4,X0,X5,X7)
& coll(X5,X0,X3)
& perp(X0,X2,X5,X6)
& coll(X6,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26)
& perp(sK23,sK20,sK21,sK22)
& coll(sK23,sK21,sK22)
& circle(sK24,sK20,sK21,sK22)
& circle(sK24,sK20,sK25,sK27)
& coll(sK25,sK20,sK23)
& perp(sK20,sK22,sK25,sK26)
& coll(sK26,sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f299,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f135]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f341,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X5,X2,X3) ),
inference(cnf_transformation,[],[f203]) ).
fof(f346,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
| cong(X0,X1,X2,X3)
| ~ cong(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f213]) ).
fof(f385,plain,
perp(sK20,sK22,sK25,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f412,plain,
perp(sK20,sK22,sK26,sK25),
inference(resolution,[],[f277,f385]) ).
fof(f416,plain,
perp(sK25,sK26,sK20,sK22),
inference(resolution,[],[f278,f385]) ).
fof(f417,plain,
perp(sK21,sK22,sK23,sK20),
inference(resolution,[],[f278,f390]) ).
fof(f452,plain,
perp(sK26,sK25,sK20,sK22),
inference(resolution,[],[f412,f278]) ).
fof(f481,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f518,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK25,sK26) ),
inference(resolution,[],[f279,f385]) ).
fof(f528,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK20)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f279,f390]) ).
fof(f596,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(f604,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f609,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(f631,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqratio(X0,X1,X2,X3,X1,X4,X3,X5)
| ~ midp(X0,X1,X4)
| ~ midp(X2,X3,X5) ),
inference(resolution,[],[f299,f341]) ).
fof(f962,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(f1049,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(f1055,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,[],[f1049]) ).
fof(f1156,plain,
para(sK25,sK26,sK25,sK26),
inference(resolution,[],[f518,f416]) ).
fof(f1157,plain,
para(sK26,sK25,sK25,sK26),
inference(resolution,[],[f518,f452]) ).
fof(f1165,plain,
para(sK21,sK22,sK21,sK22),
inference(resolution,[],[f528,f417]) ).
fof(f1485,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f596,f309]) ).
fof(f1621,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f604,f309]) ).
fof(f1664,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f609,f313]) ).
fof(f1665,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f609,f312]) ).
fof(f1675,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1664,f1665]) ).
fof(f1988,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X1,X2,X4,X5)
| ~ midp(X3,X4,X5)
| cong(X0,X1,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(resolution,[],[f631,f346]) ).
fof(f2036,plain,
para(sK26,sK25,sK26,sK25),
inference(resolution,[],[f1157,f274]) ).
fof(f3546,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,[],[f962,f596]) ).
fof(f10926,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1485,f2036]) ).
fof(f10928,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10926,f337]) ).
fof(f10933,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f10926,f335]) ).
fof(f10954,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f10933,f10926]) ).
fof(f10970,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10928,f272]) ).
fof(f11215,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f10970,f271]) ).
fof(f11445,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1675,f10926]) ).
fof(f11448,plain,
! [X0] : cyclic(sK22,sK22,sK21,X0),
inference(resolution,[],[f1675,f1165]) ).
fof(f11452,plain,
! [X0] : cyclic(sK26,sK26,sK25,X0),
inference(resolution,[],[f1675,f1156]) ).
fof(f11455,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11215,f273]) ).
fof(f11498,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11455,f11215]) ).
fof(f14435,plain,
! [X0,X1] :
( ~ cyclic(sK22,sK22,sK21,X0)
| cyclic(sK22,sK21,X0,X1) ),
inference(resolution,[],[f11448,f287]) ).
fof(f14455,plain,
! [X0,X1] : cyclic(sK22,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f14435,f11445]) ).
fof(f14480,plain,
( ~ cyclic(sK26,sK26,sK25,sK26)
| ~ cyclic(sK26,sK26,sK25,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(resolution,[],[f11452,f1055]) ).
fof(f14486,plain,
( ~ cyclic(sK26,sK26,sK25,sK26)
| cong(sK26,sK26,sK26,sK26) ),
inference(duplicate_literal_removal,[],[f14480]) ).
fof(f14487,plain,
cong(sK26,sK26,sK26,sK26),
inference(forward_subsumption_resolution,[],[f14486,f11445]) ).
fof(f14984,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK21,X0,X1)
| cyclic(sK21,X0,X1,X2) ),
inference(resolution,[],[f14455,f287]) ).
fof(f15006,plain,
! [X2,X0,X1] : cyclic(sK21,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f14984,f14455]) ).
fof(f16193,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK21,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f15006,f287]) ).
fof(f16220,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f16193,f15006]) ).
fof(f16497,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f11445,f1055]) ).
fof(f16510,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f16497]) ).
fof(f16512,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f16510,f16220]) ).
fof(f18316,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f16512,f338]) ).
fof(f18352,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18316,f11498]) ).
fof(f19383,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f10954,f18352]) ).
fof(f23388,plain,
! [X0,X1] :
( ~ midp(X0,sK26,sK26)
| cong(X1,sK26,X0,sK26)
| ~ midp(X1,sK26,sK26) ),
inference(resolution,[],[f1988,f14487]) ).
fof(f23391,plain,
! [X0,X1] :
( ~ midp(X0,sK26,sK26)
| cong(X1,sK26,X0,sK26) ),
inference(forward_subsumption_resolution,[],[f23388,f19383]) ).
fof(f23453,plain,
! [X0,X1] : cong(X1,sK26,X0,sK26),
inference(forward_subsumption_resolution,[],[f23391,f19383]) ).
fof(f23497,plain,
! [X0,X1] : cong(X0,sK26,sK26,X1),
inference(resolution,[],[f23453,f293]) ).
fof(f23844,plain,
! [X0] : para(sK26,X0,sK26,sK26),
inference(resolution,[],[f23497,f1621]) ).
fof(f23845,plain,
! [X0] : para(sK26,sK26,sK26,X0),
inference(resolution,[],[f23497,f481]) ).
fof(f24809,plain,
! [X0,X1] :
( ~ midp(X0,sK26,sK26)
| ~ para(sK26,sK26,sK26,X1)
| midp(X0,sK26,X1) ),
inference(resolution,[],[f23844,f335]) ).
fof(f24814,plain,
! [X0,X1] :
( ~ para(sK26,sK26,sK26,X1)
| midp(X0,sK26,X1) ),
inference(forward_subsumption_resolution,[],[f24809,f19383]) ).
fof(f24816,plain,
! [X0,X1] : midp(X0,sK26,X1),
inference(forward_subsumption_resolution,[],[f24814,f23845]) ).
fof(f24828,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK26,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f24816,f315]) ).
fof(f24861,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f24828,f24816]) ).
fof(f33032,plain,
( ~ para(sK24,sK20,sK22,sK20)
| ~ para(sK20,sK23,sK20,sK26) ),
inference(resolution,[],[f3546,f391]) ).
fof(f33082,plain,
~ para(sK24,sK20,sK22,sK20),
inference(forward_subsumption_resolution,[],[f33032,f24861]) ).
fof(f33094,plain,
$false,
inference(forward_subsumption_resolution,[],[f33082,f24861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO576+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 : n007.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 08:31:25 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.42/1.78 % (1104949)Will run a generic schedule for satisfiability detection.
% 8.42/1.78 % (1104956)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1614424829:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.42/1.78 % (1104955)% WARNING: option uhcvi not known.
% 8.42/1.78 % (1104954)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3740365573_2999 on theBenchmark for (2999ds/0Mi)
% 8.42/1.78 % (1104955)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4156467792:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.42/1.78 % (1104957)dis+10_1_sil=32000:sp=arity:random_seed=1476566658:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.42/1.78 % (1104959)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1594322688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.42/1.78 % (1104958)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1007362950:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.42/1.78 % (1104960)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=719593609:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.42/1.78 % TRYING [1]
% 8.42/1.78 % TRYING [2]
% 8.42/1.78 % TRYING [3]
% 8.42/1.78 % (1104957)Instruction limit reached!
% 8.42/1.78 % (1104957)------------------------------
% 8.42/1.78 % (1104957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.78 % (1104957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.78 % (1104957)CaDiCaL version: 2.1.3
% 8.42/1.78 % (1104957)Termination reason: Instruction limit
% 8.42/1.78 % (1104957)Termination phase: Saturation
% 8.42/1.78 % (1104957)Time elapsed: 0.066 s
% 8.42/1.78 % (1104957)Peak memory usage: 13 MB
% 8.42/1.78 % (1104957)Instructions burned: 103 (million)
% 8.42/1.78 % (1104958)Instruction limit reached!
% 8.42/1.78 % (1104958)------------------------------
% 8.42/1.78 % (1104958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.78 % (1104958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.78 % (1104958)CaDiCaL version: 2.1.3
% 8.42/1.78 % (1104958)Termination reason: Instruction limit
% 8.42/1.78 % (1104958)Termination phase: Saturation
% 8.42/1.78 % (1104958)Time elapsed: 0.069 s
% 8.42/1.78 % (1104958)Peak memory usage: 13 MB
% 8.42/1.78 % (1104958)Instructions burned: 116 (million)
% 8.42/1.78 % (1104959)Instruction limit reached!
% 8.42/1.78 % (1104959)------------------------------
% 8.42/1.78 % (1104959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.78 % (1104959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.78 % (1104959)CaDiCaL version: 2.1.3
% 8.42/1.78 % (1104959)Termination reason: Instruction limit
% 8.42/1.78 % (1104959)Termination phase: Saturation
% 8.42/1.78 % (1104959)Time elapsed: 0.083 s
% 8.42/1.78 % (1104959)Peak memory usage: 14 MB
% 8.42/1.78 % (1104959)Instructions burned: 131 (million)
% 8.42/1.78 % (1104968)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2608105844:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.42/1.78 % (1104960)Instruction limit reached!
% 8.42/1.78 % (1104960)------------------------------
% 8.42/1.78 % (1104960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.78 % (1104960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.42/1.78 % (1104960)CaDiCaL version: 2.1.3
% 8.42/1.78 % (1104960)Termination reason: Instruction limit
% 8.42/1.78 % (1104960)Termination phase: Saturation
% 8.42/1.78 % (1104960)Time elapsed: 0.089 s
% 8.42/1.78 % (1104960)Peak memory usage: 15 MB
% 8.42/1.78 % (1104960)Instructions burned: 159 (million)
% 8.42/1.78 % (1104969)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3732149573:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.42/1.78 % TRYING [1]
% 8.42/1.78 % TRYING [2]
% 8.42/1.78 % (1104970)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=3979987754:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.42/1.78 % (1104973)ott-21_1_sil=16000:fs=off:random_seed=631640884:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.42/1.78 % TRYING [3]
% 8.42/1.78 % (1104969)Instruction limit reached!
% 8.42/1.78 % (1104969)------------------------------
% 8.42/1.78 % (1104969)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.42/1.78 % (1104969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104969)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104969)Termination reason: Instruction limit
% 6.89/3.40 % (1104969)Termination phase: Saturation
% 6.89/3.40 % (1104969)Time elapsed: 0.084 s
% 6.89/3.40 % (1104969)Peak memory usage: 14 MB
% 6.89/3.40 % (1104969)Instructions burned: 132 (million)
% 6.89/3.40 % (1104976)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2774925457:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 6.89/3.40 % (1104973)Instruction limit reached!
% 6.89/3.40 % (1104973)------------------------------
% 6.89/3.40 % (1104973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104973)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104973)Termination reason: Instruction limit
% 6.89/3.40 % (1104973)Termination phase: Saturation
% 6.89/3.40 % (1104973)Time elapsed: 0.094 s
% 6.89/3.40 % (1104973)Peak memory usage: 13 MB
% 6.89/3.40 % (1104973)Instructions burned: 181 (million)
% 6.89/3.40 % (1104978)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2903378739:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 6.89/3.40 % TRYING [1]
% 6.89/3.40 % TRYING [2]
% 6.89/3.40 % TRYING [3]
% 6.89/3.40 % (1104968)Instruction limit reached!
% 6.89/3.40 % (1104968)------------------------------
% 6.89/3.40 % (1104968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104968)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104968)Termination reason: Instruction limit
% 6.89/3.40 % (1104968)Termination phase: Finite model building constraint generation
% 6.89/3.40 % (1104968)Time elapsed: 0.254 s
% 6.89/3.40 % (1104968)Peak memory usage: 24 MB
% 6.89/3.40 % (1104968)Instructions burned: 718 (million)
% 6.89/3.40 % (1104980)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1126565345:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 6.89/3.40 % (1104976)Instruction limit reached!
% 6.89/3.40 % (1104976)------------------------------
% 6.89/3.40 % (1104976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104976)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104976)Termination reason: Instruction limit
% 6.89/3.40 % (1104976)Termination phase: Saturation
% 6.89/3.40 % (1104976)Time elapsed: 0.279 s
% 6.89/3.40 % (1104976)Peak memory usage: 14 MB
% 6.89/3.40 % (1104976)Instructions burned: 477 (million)
% 6.89/3.40 % (1104982)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2073068580:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 6.89/3.40 % (1104982)Cannot represent all propositional literals internally
% 6.89/3.40 % (1104982)Refutation not found, incomplete strategy
% 6.89/3.40 % (1104982)------------------------------
% 6.89/3.40 % (1104982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104982)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104982)Termination reason: Refutation not found, incomplete strategy
% 6.89/3.40 % (1104982)Time elapsed: 0.006 s
% 6.89/3.40 % (1104982)Peak memory usage: 11 MB
% 6.89/3.40 % (1104982)Instructions burned: 13 (million)
% 6.89/3.40 % (1104982)------------------------------
% 6.89/3.40 % (1104982)------------------------------
% 6.89/3.40 % (1104984)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=2018293136:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 6.89/3.40 % (1104978)Instruction limit reached!
% 6.89/3.40 % (1104978)------------------------------
% 6.89/3.40 % (1104978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104978)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104978)Termination reason: Instruction limit
% 6.89/3.40 % (1104978)Termination phase: Finite model building constraint generation
% 6.89/3.40 % (1104978)Time elapsed: 0.301 s
% 6.89/3.40 % (1104978)Peak memory usage: 51 MB
% 6.89/3.40 % (1104978)Instructions burned: 866 (million)
% 6.89/3.40 % (1104970)Instruction limit reached!
% 6.89/3.40 % (1104970)------------------------------
% 6.89/3.40 % (1104970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104970)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104970)Termination reason: Instruction limit
% 6.89/3.40 % (1104970)Termination phase: Saturation
% 6.89/3.40 % (1104970)Time elapsed: 0.426 s
% 6.89/3.40 % (1104970)Peak memory usage: 19 MB
% 6.89/3.40 % (1104970)Instructions burned: 684 (million)
% 6.89/3.40 % (1104986)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=885744622:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 6.89/3.40 % (1104987)fmb+10_1_sil=64000:random_seed=2290191604:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 6.89/3.40 % TRYING [1]
% 6.89/3.40 % TRYING [2]
% 6.89/3.40 % TRYING [3]
% 6.89/3.40 % (1104984)Instruction limit reached!
% 6.89/3.40 % (1104984)------------------------------
% 6.89/3.40 % (1104984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104984)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104984)Termination reason: Instruction limit
% 6.89/3.40 % (1104984)Termination phase: Saturation
% 6.89/3.40 % (1104984)Time elapsed: 0.432 s
% 6.89/3.40 % (1104984)Peak memory usage: 19 MB
% 6.89/3.40 % (1104984)Instructions burned: 693 (million)
% 6.89/3.40 % (1104990)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3122915716:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 6.89/3.40 % (1104990)Cannot represent all propositional literals internally
% 6.89/3.40 % (1104990)Refutation not found, incomplete strategy
% 6.89/3.40 % (1104990)------------------------------
% 6.89/3.40 % (1104990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104990)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104990)Termination reason: Refutation not found, incomplete strategy
% 6.89/3.40 % (1104990)Time elapsed: 0.006 s
% 6.89/3.40 % (1104990)Peak memory usage: 11 MB
% 6.89/3.40 % (1104990)Instructions burned: 13 (million)
% 6.89/3.40 % (1104990)------------------------------
% 6.89/3.40 % (1104990)------------------------------
% 6.89/3.40 % (1104992)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3106012331:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 6.89/3.40 % TRYING [8]
% 6.89/3.40 % (1104986)Instruction limit reached!
% 6.89/3.40 % (1104986)------------------------------
% 6.89/3.40 % (1104986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104986)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104986)Termination reason: Instruction limit
% 6.89/3.40 % (1104986)Termination phase: Saturation
% 6.89/3.40 % (1104986)Time elapsed: 0.474 s
% 6.89/3.40 % (1104986)Peak memory usage: 17 MB
% 6.89/3.40 % (1104986)Instructions burned: 880 (million)
% 6.89/3.40 % (1104994)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3764896543:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 6.89/3.40 % (1104980)Instruction limit reached!
% 6.89/3.40 % (1104980)------------------------------
% 6.89/3.40 % (1104980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104980)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104980)Termination reason: Instruction limit
% 6.89/3.40 % (1104980)Termination phase: Saturation
% 6.89/3.40 % (1104980)Time elapsed: 0.717 s
% 6.89/3.40 % (1104980)Peak memory usage: 22 MB
% 6.89/3.40 % (1104980)Instructions burned: 1180 (million)
% 6.89/3.40 % (1104996)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2003762587:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 6.89/3.40 % (1104992)Instruction limit reached!
% 6.89/3.40 % (1104992)------------------------------
% 6.89/3.40 % (1104992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104992)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104992)Termination reason: Instruction limit
% 6.89/3.40 % (1104992)Termination phase: Finite model building constraint generation
% 6.89/3.40 % (1104992)Time elapsed: 0.296 s
% 6.89/3.40 % (1104992)Peak memory usage: 47 MB
% 6.89/3.40 % (1104992)Instructions burned: 920 (million)
% 6.89/3.40 % (1104998)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2594686550:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 6.89/3.40 % (1104998)Cannot represent all propositional literals internally
% 6.89/3.40 % (1104998)Refutation not found, incomplete strategy
% 6.89/3.40 % (1104998)------------------------------
% 6.89/3.40 % (1104998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104998)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104998)Termination reason: Refutation not found, incomplete strategy
% 6.89/3.40 % (1104998)Time elapsed: 0.008 s
% 6.89/3.40 % (1104998)Peak memory usage: 11 MB
% 6.89/3.40 % (1104998)Instructions burned: 15 (million)
% 6.89/3.40 % (1104998)------------------------------
% 6.89/3.40 % (1104998)------------------------------
% 6.89/3.40 % (1105000)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1981374750:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 6.89/3.40 % (1105000)Cannot represent all propositional literals internally
% 6.89/3.40 % (1105000)Refutation not found, incomplete strategy
% 6.89/3.40 % (1105000)------------------------------
% 6.89/3.40 % (1105000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1105000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1105000)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1105000)Termination reason: Refutation not found, incomplete strategy
% 6.89/3.40 % (1105000)Time elapsed: 0.082 s
% 6.89/3.40 % (1105000)Peak memory usage: 13 MB
% 6.89/3.40 % (1105000)Instructions burned: 166 (million)
% 6.89/3.40 % (1105000)------------------------------
% 6.89/3.40 % (1105000)------------------------------
% 6.89/3.40 % (1105002)ott-2_1_sil=16000:newcnf=on:random_seed=730053158:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 6.89/3.40 % (1105002)Instruction limit reached!
% 6.89/3.40 % (1105002)------------------------------
% 6.89/3.40 % (1105002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1105002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1105002)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1105002)Termination reason: Instruction limit
% 6.89/3.40 % (1105002)Termination phase: Saturation
% 6.89/3.40 % (1105002)Time elapsed: 0.524 s
% 6.89/3.40 % (1105002)Peak memory usage: 17 MB
% 6.89/3.40 % (1105002)Instructions burned: 870 (million)
% 6.89/3.40 % (1105004)ott+10_1_sil=32000:tgt=ground:random_seed=2037850180:i=5114:av=off_2979 on theBenchmark for (2979ds/5114Mi)
% 6.89/3.40 % (1104996)Instruction limit reached!
% 6.89/3.40 % (1104996)------------------------------
% 6.89/3.40 % (1104996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1104996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1104996)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1104996)Termination reason: Instruction limit
% 6.89/3.40 % (1104996)Termination phase: Saturation
% 6.89/3.40 % (1104996)Time elapsed: 0.976 s
% 6.89/3.40 % (1104996)Peak memory usage: 30 MB
% 6.89/3.40 % (1104996)Instructions burned: 1472 (million)
% 6.89/3.40 % (1105006)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1686557147:i=54282_2978 on theBenchmark for (2978ds/54282Mi)
% 6.89/3.40 % TRYING [1]
% 6.89/3.40 % TRYING [2]
% 6.89/3.40 % TRYING [3]
% 6.89/3.40 % (1105004) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1104949-1105004"...
% 6.89/3.40 % (1105004)...printing done.
% 6.89/3.40 % (1105004)Refutation found. Thanks to Tanya!
% 6.89/3.40 % SZS status Theorem for theBenchmark
% 6.89/3.40 % SZS output start Proof for theBenchmark
% See solution above
% 6.89/3.40 % (1105004)------------------------------
% 6.89/3.40 % (1105004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.89/3.40 % (1105004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.89/3.40 % (1105004)CaDiCaL version: 2.1.3
% 6.89/3.40 % (1105004)Termination reason: Refutation
% 6.89/3.40 % (1105004)Time elapsed: 0.895 s
% 6.89/3.40 % (1105004)Peak memory usage: 27 MB
% 6.89/3.40 % (1105004)Instructions burned: 1403 (million)
% 6.89/3.40 % (1104949)Success in time 2.978 s
% 6.89/3.40 % Vampire exiting
%------------------------------------------------------------------------------