%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO549+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 : n011.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 09:54:42 AM UTC 2026
% Result : Theorem 13.73s 2.47s
% Output : Refutation 13.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 145 ( 26 unt; 0 def)
% Number of atoms : 412 ( 0 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 420 ( 153 ~; 149 |; 92 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 16 ( 16 usr; 16 con; 0-0 aty)
% Number of variables : 651 ( 619 !; 32 ?)
% 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(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(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,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X5,X14)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& circle(X3,X0,X7,X15)
& perp(X8,X7,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X10,X0,X2)
& perp(X11,X5,X0,X1)
& coll(X11,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X12,X0,X1) )
=> eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012009) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X5,X14)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& circle(X3,X0,X7,X15)
& perp(X8,X7,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X10,X0,X2)
& perp(X11,X5,X0,X1)
& coll(X11,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X12,X0,X1) )
=> eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
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(f107,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(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,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X6,X11,X11,X10,X8,X12,X12,X9)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X5,X14)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& circle(X3,X0,X7,X15)
& perp(X8,X7,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X10,X0,X2)
& perp(X11,X5,X0,X1)
& coll(X11,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X12,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
( ~ eqangle(X6,X11,X11,X10,X8,X12,X12,X9)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X13)
& circle(X3,X0,X5,X14)
& perp(X6,X5,X0,X4)
& coll(X6,X0,X4)
& circle(X3,X0,X7,X15)
& perp(X8,X7,X0,X4)
& coll(X8,X0,X4)
& perp(X9,X7,X0,X2)
& coll(X9,X0,X2)
& perp(X10,X5,X0,X2)
& coll(X10,X0,X2)
& perp(X11,X5,X0,X1)
& coll(X11,X0,X1)
& perp(X12,X7,X0,X1)
& coll(X12,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK33)
& circle(sK23,sK20,sK25,sK34)
& perp(sK26,sK25,sK20,sK24)
& coll(sK26,sK20,sK24)
& circle(sK23,sK20,sK27,sK35)
& perp(sK28,sK27,sK20,sK24)
& coll(sK28,sK20,sK24)
& perp(sK29,sK27,sK20,sK22)
& coll(sK29,sK20,sK22)
& perp(sK30,sK25,sK20,sK22)
& coll(sK30,sK20,sK22)
& perp(sK31,sK25,sK20,sK21)
& coll(sK31,sK20,sK21)
& perp(sK32,sK27,sK20,sK21)
& coll(sK32,sK20,sK21) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(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(sK32,sK27,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
perp(sK28,sK27,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f400,plain,
~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29),
inference(cnf_transformation,[],[f270]) ).
fof(f437,plain,
perp(sK20,sK21,sK32,sK27),
inference(resolution,[],[f278,f385]) ).
fof(f441,plain,
perp(sK20,sK24,sK28,sK27),
inference(resolution,[],[f278,f393]) ).
fof(f523,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(resolution,[],[f317,f309]) ).
fof(f561,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK28,sK27)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f279,f393]) ).
fof(f586,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK32,sK27) ),
inference(resolution,[],[f437,f279]) ).
fof(f652,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(f663,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f670,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(f701,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(f1040,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(f1117,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(f1123,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,[],[f1117]) ).
fof(f1338,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f561,f441]) ).
fof(f1821,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f652,f309]) ).
fof(f1958,plain,
! [X0,X1] :
( ~ cong(X0,X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(resolution,[],[f663,f309]) ).
fof(f2001,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f670,f313]) ).
fof(f2002,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f670,f312]) ).
fof(f2012,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f2001,f2002]) ).
fof(f2360,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,[],[f701,f346]) ).
fof(f3856,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,[],[f1040,f652]) ).
fof(f5867,plain,
para(sK32,sK27,sK32,sK27),
inference(resolution,[],[f586,f385]) ).
fof(f13831,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1821,f5867]) ).
fof(f13874,plain,
! [X0] : cyclic(sK24,sK24,sK20,X0),
inference(resolution,[],[f2012,f1338]) ).
fof(f14534,plain,
( ~ cyclic(sK24,sK24,sK20,sK24)
| ~ cyclic(sK24,sK24,sK20,sK24)
| cong(sK24,sK24,sK24,sK24) ),
inference(resolution,[],[f13874,f1123]) ).
fof(f14540,plain,
( ~ cyclic(sK24,sK24,sK20,sK24)
| cong(sK24,sK24,sK24,sK24) ),
inference(duplicate_literal_removal,[],[f14534]) ).
fof(f14541,plain,
cong(sK24,sK24,sK24,sK24),
inference(forward_subsumption_resolution,[],[f14540,f13874]) ).
fof(f14558,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f13831,f337]) ).
fof(f14559,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f13831,f2012]) ).
fof(f14564,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f13831,f335]) ).
fof(f14601,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f14564,f13831]) ).
fof(f14610,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f14558,f272]) ).
fof(f14711,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f14610,f271]) ).
fof(f14807,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14711,f273]) ).
fof(f14832,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14807,f14711]) ).
fof(f18213,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(resolution,[],[f14559,f1123]) ).
fof(f18228,plain,
! [X0,X1] :
( ~ cyclic(X0,X0,X1,X0)
| cong(X0,X0,X0,X0) ),
inference(duplicate_literal_removal,[],[f18213]) ).
fof(f18232,plain,
! [X0] : cong(X0,X0,X0,X0),
inference(forward_subsumption_resolution,[],[f18228,f14559]) ).
fof(f21603,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f18232,f338]) ).
fof(f21641,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f21603,f14832]) ).
fof(f22867,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f14601,f21641]) ).
fof(f25281,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| cong(X1,sK24,X0,sK24)
| ~ midp(X1,sK24,sK24) ),
inference(resolution,[],[f2360,f14541]) ).
fof(f25332,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| cong(X1,sK24,X0,sK24) ),
inference(forward_subsumption_resolution,[],[f25281,f22867]) ).
fof(f25350,plain,
! [X0,X1] : cong(X1,sK24,X0,sK24),
inference(forward_subsumption_resolution,[],[f25332,f22867]) ).
fof(f25388,plain,
! [X0,X1] : cong(X0,sK24,sK24,X1),
inference(resolution,[],[f25350,f293]) ).
fof(f26009,plain,
! [X0] : para(sK24,X0,sK24,sK24),
inference(resolution,[],[f25388,f1958]) ).
fof(f26010,plain,
! [X0] : para(sK24,sK24,sK24,X0),
inference(resolution,[],[f25388,f523]) ).
fof(f27717,plain,
! [X0,X1] :
( ~ midp(X0,sK24,sK24)
| ~ para(sK24,sK24,sK24,X1)
| midp(X0,sK24,X1) ),
inference(resolution,[],[f26009,f335]) ).
fof(f27722,plain,
! [X0,X1] :
( ~ para(sK24,sK24,sK24,X1)
| midp(X0,sK24,X1) ),
inference(forward_subsumption_resolution,[],[f27717,f22867]) ).
fof(f27724,plain,
! [X0,X1] : midp(X0,sK24,X1),
inference(forward_subsumption_resolution,[],[f27722,f26010]) ).
fof(f27732,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,sK24,X1)
| para(X0,X2,X1,X3) ),
inference(resolution,[],[f27724,f315]) ).
fof(f27770,plain,
! [X2,X3,X0,X1] : para(X0,X2,X1,X3),
inference(forward_subsumption_resolution,[],[f27732,f27724]) ).
fof(f34524,plain,
( ~ para(sK26,sK31,sK28,sK32)
| ~ para(sK31,sK30,sK32,sK29) ),
inference(resolution,[],[f3856,f400]) ).
fof(f34578,plain,
~ para(sK26,sK31,sK28,sK32),
inference(forward_subsumption_resolution,[],[f34524,f27770]) ).
fof(f34592,plain,
$false,
inference(forward_subsumption_resolution,[],[f34578,f27770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 08:29:15 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 6.71/1.41 % (2094911)Will run a generic schedule for satisfiability detection.
% 6.71/1.41 % (2094920)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2294068262:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.71/1.41 % (2094917)% WARNING: option uhcvi not known.
% 6.71/1.41 % (2094916)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3341180286_2999 on theBenchmark for (2999ds/0Mi)
% 6.71/1.41 % (2094917)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1151632077:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.71/1.41 % (2094918)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4203227361:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.71/1.41 % (2094919)dis+10_1_sil=32000:sp=arity:random_seed=2111587605:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.71/1.41 % (2094921)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2167833448:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.71/1.41 % (2094922)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3053655765:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.71/1.41 % TRYING [1]
% 6.71/1.41 % TRYING [2]
% 6.71/1.41 % (2094920)Instruction limit reached!
% 6.71/1.41 % (2094920)------------------------------
% 6.71/1.41 % (2094920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.41 % (2094920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.41 % (2094920)CaDiCaL version: 2.1.3
% 6.71/1.41 % (2094920)Termination reason: Instruction limit
% 6.71/1.41 % (2094920)Termination phase: Saturation
% 6.71/1.41 % (2094920)Time elapsed: 0.037 s
% 6.71/1.41 % (2094920)Peak memory usage: 13 MB
% 6.71/1.41 % (2094920)Instructions burned: 118 (million)
% 6.71/1.41 % TRYING [3]
% 6.71/1.41 % (2094930)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=88161259:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.71/1.41 % TRYING [1]
% 6.71/1.41 % TRYING [2]
% 6.71/1.41 % (2094919)Instruction limit reached!
% 6.71/1.41 % (2094919)------------------------------
% 6.71/1.41 % (2094919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.41 % (2094919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.41 % (2094919)CaDiCaL version: 2.1.3
% 6.71/1.41 % (2094919)Termination reason: Instruction limit
% 6.71/1.41 % (2094919)Termination phase: Saturation
% 6.71/1.41 % (2094919)Time elapsed: 0.067 s
% 6.71/1.41 % (2094919)Peak memory usage: 13 MB
% 6.71/1.41 % (2094919)Instructions burned: 104 (million)
% 6.71/1.41 % TRYING [3]
% 6.71/1.41 % (2094921)Instruction limit reached!
% 6.71/1.41 % (2094921)------------------------------
% 6.71/1.41 % (2094921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.41 % (2094921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.41 % (2094921)CaDiCaL version: 2.1.3
% 6.71/1.41 % (2094921)Termination reason: Instruction limit
% 6.71/1.41 % (2094921)Termination phase: Saturation
% 6.71/1.41 % (2094921)Time elapsed: 0.079 s
% 6.71/1.41 % (2094921)Peak memory usage: 14 MB
% 6.71/1.41 % (2094921)Instructions burned: 131 (million)
% 6.71/1.41 % (2094932)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3335378302:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.71/1.41 % (2094922)Instruction limit reached!
% 6.71/1.41 % (2094922)------------------------------
% 6.71/1.41 % (2094922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.41 % (2094922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/1.41 % (2094922)CaDiCaL version: 2.1.3
% 6.71/1.41 % (2094922)Termination reason: Instruction limit
% 6.71/1.41 % (2094922)Termination phase: Saturation
% 6.71/1.41 % (2094922)Time elapsed: 0.091 s
% 6.71/1.41 % (2094922)Peak memory usage: 15 MB
% 6.71/1.41 % (2094922)Instructions burned: 160 (million)
% 6.71/1.41 % (2094933)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=308871688:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.71/1.41 % (2094935)ott-21_1_sil=16000:fs=off:random_seed=2767769648:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.71/1.41 % (2094932)Instruction limit reached!
% 6.71/1.41 % (2094932)------------------------------
% 6.71/1.41 % (2094932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.71/1.41 % (2094932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094932)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094932)Termination reason: Instruction limit
% 13.73/2.46 % (2094932)Termination phase: Saturation
% 13.73/2.46 % (2094932)Time elapsed: 0.080 s
% 13.73/2.46 % (2094932)Peak memory usage: 14 MB
% 13.73/2.46 % (2094932)Instructions burned: 131 (million)
% 13.73/2.46 % (2094930)Instruction limit reached!
% 13.73/2.46 % (2094930)------------------------------
% 13.73/2.46 % (2094930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094930)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094930)Termination reason: Instruction limit
% 13.73/2.46 % (2094930)Termination phase: Finite model building constraint generation
% 13.73/2.46 % (2094930)Time elapsed: 0.132 s
% 13.73/2.46 % (2094930)Peak memory usage: 24 MB
% 13.73/2.46 % (2094930)Instructions burned: 719 (million)
% 13.73/2.46 % (2094939)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2708197331:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 13.73/2.46 % (2094938)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1378872847:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 13.73/2.46 % TRYING [1]
% 13.73/2.46 % TRYING [2]
% 13.73/2.46 % (2094935)Instruction limit reached!
% 13.73/2.46 % (2094935)------------------------------
% 13.73/2.46 % (2094935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094935)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094935)Termination reason: Instruction limit
% 13.73/2.46 % (2094935)Termination phase: Saturation
% 13.73/2.46 % (2094935)Time elapsed: 0.095 s
% 13.73/2.46 % (2094935)Peak memory usage: 13 MB
% 13.73/2.46 % (2094935)Instructions burned: 181 (million)
% 13.73/2.46 % TRYING [3]
% 13.73/2.46 % (2094942)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3424130554:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 13.73/2.46 % (2094939)Instruction limit reached!
% 13.73/2.46 % (2094939)------------------------------
% 13.73/2.46 % (2094939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094939)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094939)Termination reason: Instruction limit
% 13.73/2.46 % (2094939)Termination phase: Finite model building constraint generation
% 13.73/2.46 % (2094939)Time elapsed: 0.164 s
% 13.73/2.46 % (2094939)Peak memory usage: 50 MB
% 13.73/2.46 % (2094939)Instructions burned: 866 (million)
% 13.73/2.46 % (2094944)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3561678214:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 13.73/2.46 % (2094944)Cannot represent all propositional literals internally
% 13.73/2.46 % (2094944)Refutation not found, incomplete strategy
% 13.73/2.46 % (2094944)------------------------------
% 13.73/2.46 % (2094944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094944)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094944)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.46 % (2094944)Time elapsed: 0.007 s
% 13.73/2.46 % (2094944)Peak memory usage: 11 MB
% 13.73/2.46 % (2094944)Instructions burned: 13 (million)
% 13.73/2.46 % (2094944)------------------------------
% 13.73/2.46 % (2094944)------------------------------
% 13.73/2.46 % (2094946)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=3113624738: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)
% 13.73/2.46 % (2094938)Instruction limit reached!
% 13.73/2.46 % (2094938)------------------------------
% 13.73/2.46 % (2094938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094938)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094938)Termination reason: Instruction limit
% 13.73/2.46 % (2094938)Termination phase: Saturation
% 13.73/2.46 % (2094938)Time elapsed: 0.274 s
% 13.73/2.46 % (2094938)Peak memory usage: 15 MB
% 13.73/2.46 % (2094938)Instructions burned: 478 (million)
% 13.73/2.46 % (2094948)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2198567096:i=879:kws=inv_precedence:fsr=off_2995 on theBenchmark for (2995ds/879Mi)
% 13.73/2.46 % (2094933)Instruction limit reached!
% 13.73/2.46 % (2094933)------------------------------
% 13.73/2.46 % (2094933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094933)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094933)Termination reason: Instruction limit
% 13.73/2.46 % (2094933)Termination phase: Saturation
% 13.73/2.46 % (2094933)Time elapsed: 0.417 s
% 13.73/2.46 % (2094933)Peak memory usage: 19 MB
% 13.73/2.46 % (2094933)Instructions burned: 685 (million)
% 13.73/2.46 % (2094950)fmb+10_1_sil=64000:random_seed=1567657860:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 13.73/2.46 % TRYING [1]
% 13.73/2.46 % TRYING [2]
% 13.73/2.46 % TRYING [3]
% 13.73/2.46 % (2094942)Instruction limit reached!
% 13.73/2.46 % (2094942)------------------------------
% 13.73/2.46 % (2094942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094942)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094942)Termination reason: Instruction limit
% 13.73/2.46 % (2094942)Termination phase: Saturation
% 13.73/2.46 % (2094942)Time elapsed: 0.437 s
% 13.73/2.46 % (2094942)Peak memory usage: 25 MB
% 13.73/2.46 % (2094942)Instructions burned: 1179 (million)
% 13.73/2.46 % (2094952)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1897114524:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 13.73/2.46 % (2094952)Cannot represent all propositional literals internally
% 13.73/2.46 % (2094952)Refutation not found, incomplete strategy
% 13.73/2.46 % (2094952)------------------------------
% 13.73/2.46 % (2094952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094952)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094952)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.46 % (2094952)Time elapsed: 0.003 s
% 13.73/2.46 % (2094952)Peak memory usage: 10 MB
% 13.73/2.46 % (2094952)Instructions burned: 13 (million)
% 13.73/2.46 % (2094952)------------------------------
% 13.73/2.46 % (2094952)------------------------------
% 13.73/2.46 % (2094954)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=520345959:fmbsr=1.7:i=920_2992 on theBenchmark for (2992ds/920Mi)
% 13.73/2.46 % TRYING [8]
% 13.73/2.46 % (2094946)Instruction limit reached!
% 13.73/2.46 % (2094946)------------------------------
% 13.73/2.46 % (2094946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094946)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094946)Termination reason: Instruction limit
% 13.73/2.46 % (2094946)Termination phase: Saturation
% 13.73/2.46 % (2094946)Time elapsed: 0.383 s
% 13.73/2.46 % (2094946)Peak memory usage: 17 MB
% 13.73/2.46 % (2094946)Instructions burned: 692 (million)
% 13.73/2.46 % (2094956)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1087769403:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 13.73/2.46 % (2094954)Instruction limit reached!
% 13.73/2.46 % (2094954)------------------------------
% 13.73/2.46 % (2094954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094954)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094954)Termination reason: Instruction limit
% 13.73/2.46 % (2094954)Termination phase: Finite model building constraint generation
% 13.73/2.46 % (2094954)Time elapsed: 0.161 s
% 13.73/2.46 % (2094954)Peak memory usage: 51 MB
% 13.73/2.46 % (2094954)Instructions burned: 922 (million)
% 13.73/2.46 % (2094958)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=682296981:i=1472:ins=7:fdi=8:gsp=on_2991 on theBenchmark for (2991ds/1472Mi)
% 13.73/2.46 % (2094948)Instruction limit reached!
% 13.73/2.46 % (2094948)------------------------------
% 13.73/2.46 % (2094948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094948)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094948)Termination reason: Instruction limit
% 13.73/2.46 % (2094948)Termination phase: Saturation
% 13.73/2.46 % (2094948)Time elapsed: 0.461 s
% 13.73/2.46 % (2094948)Peak memory usage: 18 MB
% 13.73/2.46 % (2094948)Instructions burned: 881 (million)
% 13.73/2.46 % (2094960)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=5930959:i=6324_2990 on theBenchmark for (2990ds/6324Mi)
% 13.73/2.46 % (2094960)Cannot represent all propositional literals internally
% 13.73/2.46 % (2094960)Refutation not found, incomplete strategy
% 13.73/2.46 % (2094960)------------------------------
% 13.73/2.46 % (2094960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094960)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094960)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.46 % (2094960)Time elapsed: 0.008 s
% 13.73/2.46 % (2094960)Peak memory usage: 11 MB
% 13.73/2.46 % (2094960)Instructions burned: 16 (million)
% 13.73/2.46 % (2094960)------------------------------
% 13.73/2.46 % (2094960)------------------------------
% 13.73/2.46 % (2094962)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1699549994:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 13.73/2.46 % (2094962)Cannot represent all propositional literals internally
% 13.73/2.46 % (2094962)Refutation not found, incomplete strategy
% 13.73/2.46 % (2094962)------------------------------
% 13.73/2.46 % (2094962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094962)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094962)Termination reason: Refutation not found, incomplete strategy
% 13.73/2.46 % (2094962)Time elapsed: 0.082 s
% 13.73/2.46 % (2094962)Peak memory usage: 12 MB
% 13.73/2.46 % (2094962)Instructions burned: 167 (million)
% 13.73/2.46 % (2094962)------------------------------
% 13.73/2.46 % (2094962)------------------------------
% 13.73/2.46 % (2094964)ott-2_1_sil=16000:newcnf=on:random_seed=1365253136:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 13.73/2.46 % (2094958)Instruction limit reached!
% 13.73/2.46 % (2094958)------------------------------
% 13.73/2.46 % (2094958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094958)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094958)Termination reason: Instruction limit
% 13.73/2.46 % (2094958)Termination phase: Saturation
% 13.73/2.46 % (2094958)Time elapsed: 0.508 s
% 13.73/2.46 % (2094958)Peak memory usage: 32 MB
% 13.73/2.46 % (2094958)Instructions burned: 1473 (million)
% 13.73/2.46 % (2094966)ott+10_1_sil=32000:tgt=ground:random_seed=601162871:i=5114:av=off_2985 on theBenchmark for (2985ds/5114Mi)
% 13.73/2.46 % (2094964)Instruction limit reached!
% 13.73/2.46 % (2094964)------------------------------
% 13.73/2.46 % (2094964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.46 % (2094964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.46 % (2094964)CaDiCaL version: 2.1.3
% 13.73/2.46 % (2094964)Termination reason: Instruction limit
% 13.73/2.46 % (2094964)Termination phase: Saturation
% 13.73/2.46 % (2094964)Time elapsed: 0.538 s
% 13.73/2.46 % (2094964)Peak memory usage: 19 MB
% 13.73/2.46 % (2094964)Instructions burned: 869 (million)
% 13.73/2.46 % (2094968)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3020835394:i=54282_2983 on theBenchmark for (2983ds/54282Mi)
% 13.73/2.46 % TRYING [1]
% 13.73/2.46 % TRYING [2]
% 13.73/2.46 % TRYING [3]
% 13.73/2.46 % (2094966) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2094911-2094966"...
% 13.73/2.47 % (2094966)...printing done.
% 13.73/2.47 % (2094966)Refutation found. Thanks to Tanya!
% 13.73/2.47 % SZS status Theorem for theBenchmark
% 13.73/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 13.73/2.47 % (2094966)------------------------------
% 13.73/2.47 % (2094966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.73/2.47 % (2094966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/2.47 % (2094966)CaDiCaL version: 2.1.3
% 13.73/2.47 % (2094966)Termination reason: Refutation
% 13.73/2.47 % (2094966)Time elapsed: 0.590 s
% 13.73/2.47 % (2094966)Peak memory usage: 33 MB
% 13.73/2.47 % (2094966)Instructions burned: 1755 (million)
% 13.73/2.47 % (2094911)Success in time 2.049 s
% 13.73/2.47 % Vampire exiting
%------------------------------------------------------------------------------