%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO589+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 : n020.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 09:54:48 AM UTC 2026
% Result : Theorem 14.26s 8.15s
% Output : Refutation 14.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 32
% Syntax : Number of formulae : 227 ( 49 unt; 0 def)
% Number of atoms : 533 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 540 ( 234 ~; 232 |; 41 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 732 ( 716 !; 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(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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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(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(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( perp(X0,X1,X1,X2)
& midp(X3,X0,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( circle(X3,X0,X1,X2)
& coll(X3,X0,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& para(X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& perp(X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X4,X6)
& circle(X3,X4,X5,X7)
& coll(X5,X4,X3) )
=> para(X1,X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X4,X6)
& circle(X3,X4,X5,X7)
& coll(X5,X4,X3) )
=> para(X1,X5,X0,X2) ),
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(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(f119,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
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(f161,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X1,X2)
| ~ circle(X3,X0,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(flattening,[],[f174]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
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(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& circle(X3,X0,X1,X2)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X4,X6)
& circle(X3,X4,X5,X7)
& coll(X5,X4,X3) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X1,X5,X0,X2)
& circle(X3,X0,X1,X2)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X4,X6)
& circle(X3,X4,X5,X7)
& coll(X5,X4,X3) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK21,sK25,sK20,sK22)
& circle(sK23,sK20,sK21,sK22)
& perp(sK20,sK22,sK21,sK24)
& circle(sK23,sK20,sK24,sK26)
& circle(sK23,sK24,sK25,sK27)
& coll(sK25,sK24,sK23) ),
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(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
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(f317,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2) ),
inference(cnf_transformation,[],[f173]) ).
fof(f324,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2)
| ~ coll(X3,X0,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
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(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f209]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f211]) ).
fof(f387,plain,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f402,plain,
perp(sK20,sK22,sK24,sK21),
inference(resolution,[],[f277,f387]) ).
fof(f404,plain,
perp(sK21,sK24,sK20,sK22),
inference(resolution,[],[f278,f387]) ).
fof(f405,plain,
perp(sK24,sK21,sK20,sK22),
inference(resolution,[],[f278,f402]) ).
fof(f407,plain,
perp(sK21,sK24,sK22,sK20),
inference(resolution,[],[f404,f277]) ).
fof(f410,plain,
perp(sK22,sK20,sK21,sK24),
inference(resolution,[],[f407,f278]) ).
fof(f464,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| para(X2,X0,X2,X0) ),
inference(resolution,[],[f311,f309]) ).
fof(f477,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[],[f324,f388]) ).
fof(f506,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK21,sK24) ),
inference(resolution,[],[f279,f387]) ).
fof(f508,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK24)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f404]) ).
fof(f539,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f582,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(f583,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f592,plain,
! [X2,X0,X1] :
( eqangle(X0,X1,X2,X1,X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(resolution,[],[f290,f317]) ).
fof(f597,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(f637,plain,
! [X2,X0,X1] :
( ~ para(X2,X0,X2,X0)
| ~ coll(X2,X2,X1)
| cyclic(X0,X1,X2,X2) ),
inference(resolution,[],[f313,f310]) ).
fof(f723,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f477,f279]) ).
fof(f728,plain,
! [X0] :
( cong(sK20,X0,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(X0,sK20,sK22) ),
inference(resolution,[],[f477,f323]) ).
fof(f1178,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(f1184,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,[],[f1178]) ).
fof(f1247,plain,
para(sK21,sK24,sK21,sK24),
inference(resolution,[],[f506,f404]) ).
fof(f1248,plain,
para(sK24,sK21,sK21,sK24),
inference(resolution,[],[f506,f405]) ).
fof(f1587,plain,
para(sK24,sK21,sK24,sK21),
inference(resolution,[],[f1248,f274]) ).
fof(f1589,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f539,f339]) ).
fof(f1682,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f582,f309]) ).
fof(f1688,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X4,X5,X2,X3)
| para(X4,X5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f582,f344]) ).
fof(f1714,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f583,f291]) ).
fof(f1832,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| perp(X1,X2,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(resolution,[],[f592,f345]) ).
fof(f1871,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f597,f313]) ).
fof(f1872,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f597,f312]) ).
fof(f1882,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1871,f1872]) ).
fof(f1935,plain,
! [X0] :
( cyclic(sK24,X0,sK21,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f637,f1247]) ).
fof(f2591,plain,
! [X0] :
( cyclic(X0,sK24,sK21,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f1935,f286]) ).
fof(f2625,plain,
! [X0] :
( para(sK21,X0,sK21,X0)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f2591,f464]) ).
fof(f2834,plain,
! [X0,X1] :
( ~ coll(sK21,sK21,X0)
| ~ midp(X1,sK21,sK21)
| ~ para(sK21,X0,sK21,X0)
| midp(X1,X0,X0) ),
inference(resolution,[],[f2625,f335]) ).
fof(f2838,plain,
! [X0] :
( para(sK21,X0,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f2625,f274]) ).
fof(f2839,plain,
! [X0,X1] :
( ~ midp(X1,sK21,sK21)
| ~ coll(sK21,sK21,X0)
| midp(X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f2834,f2625]) ).
fof(f3215,plain,
! [X0] :
( para(X0,sK21,sK21,X0)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f2838,f275]) ).
fof(f3509,plain,
! [X0] :
( para(X0,sK21,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(resolution,[],[f3215,f274]) ).
fof(f3695,plain,
! [X0,X1] :
( ~ coll(sK21,sK21,X0)
| ~ midp(X1,X0,X0)
| ~ para(X0,sK21,X0,sK21)
| midp(X1,sK21,sK21) ),
inference(resolution,[],[f3509,f335]) ).
fof(f3701,plain,
! [X0,X1] :
( ~ midp(X1,X0,X0)
| ~ coll(sK21,sK21,X0)
| midp(X1,sK21,sK21) ),
inference(forward_subsumption_resolution,[],[f3695,f3509]) ).
fof(f3816,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f508,f387]) ).
fof(f3817,plain,
para(sK22,sK20,sK20,sK22),
inference(resolution,[],[f508,f410]) ).
fof(f3823,plain,
coll(sK20,sK22,sK22),
inference(resolution,[],[f3816,f337]) ).
fof(f3824,plain,
! [X0] :
( cyclic(sK22,X0,sK20,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(resolution,[],[f3816,f637]) ).
fof(f3902,plain,
coll(sK22,sK20,sK22),
inference(resolution,[],[f3823,f272]) ).
fof(f3907,plain,
! [X0] :
( ~ coll(sK22,sK20,X0)
| coll(X0,sK22,sK22) ),
inference(resolution,[],[f3902,f273]) ).
fof(f3984,plain,
! [X0] :
( ~ midp(sK22,X0,sK20)
| midp(sK20,X0,sK22)
| ~ coll(sK20,X0,sK22) ),
inference(resolution,[],[f3817,f316]) ).
fof(f3987,plain,
para(sK22,sK20,sK22,sK20),
inference(resolution,[],[f3817,f274]) ).
fof(f4008,plain,
coll(sK22,sK20,sK20),
inference(resolution,[],[f3987,f337]) ).
fof(f4011,plain,
! [X0] :
( ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK20,sK22,sK20)
| midp(X0,sK20,sK20) ),
inference(resolution,[],[f3987,f335]) ).
fof(f4016,plain,
! [X0] :
( ~ midp(X0,sK22,sK22)
| midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[],[f4011,f3987]) ).
fof(f4048,plain,
coll(sK20,sK22,sK20),
inference(resolution,[],[f4008,f272]) ).
fof(f4071,plain,
coll(sK20,sK20,sK22),
inference(resolution,[],[f4048,f271]) ).
fof(f4123,plain,
coll(sK22,sK22,sK22),
inference(resolution,[],[f3907,f3902]) ).
fof(f4458,plain,
! [X0] :
( cyclic(X0,sK22,sK20,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(resolution,[],[f3824,f286]) ).
fof(f4616,plain,
! [X0] :
( para(sK20,X0,sK20,X0)
| ~ coll(sK20,sK20,X0) ),
inference(resolution,[],[f4458,f464]) ).
fof(f4752,plain,
! [X0,X1] :
( ~ coll(sK20,sK20,X0)
| ~ midp(X1,sK20,sK20)
| ~ para(sK20,X0,sK20,X0)
| midp(X1,X0,X0) ),
inference(resolution,[],[f4616,f335]) ).
fof(f4759,plain,
! [X0,X1] :
( ~ midp(X1,sK20,sK20)
| ~ coll(sK20,sK20,X0)
| midp(X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f4752,f4616]) ).
fof(f6583,plain,
! [X0] :
( cong(sK20,X0,X0,sK21)
| ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[],[f728,f293]) ).
fof(f10986,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1682,f1587]) ).
fof(f10992,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f10986,f337]) ).
fof(f11070,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f10992,f272]) ).
fof(f11189,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11070,f271]) ).
fof(f11281,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1882,f10986]) ).
fof(f11292,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(resolution,[],[f1882,f3816]) ).
fof(f11296,plain,
! [X0] : cyclic(sK24,sK24,sK21,X0),
inference(resolution,[],[f1882,f1247]) ).
fof(f11324,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11189,f273]) ).
fof(f11357,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11324,f11189]) ).
fof(f12318,plain,
! [X0,X1] :
( ~ cyclic(sK24,sK24,sK21,X0)
| cyclic(sK24,sK21,X0,X1) ),
inference(resolution,[],[f11296,f287]) ).
fof(f12338,plain,
! [X0,X1] : cyclic(sK24,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f12318,f11281]) ).
fof(f12454,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(resolution,[],[f11292,f1184]) ).
fof(f12460,plain,
( ~ cyclic(sK22,sK22,sK20,sK22)
| cong(sK22,sK22,sK22,sK22) ),
inference(duplicate_literal_removal,[],[f12454]) ).
fof(f12461,plain,
cong(sK22,sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f12460,f11281]) ).
fof(f12839,plain,
! [X2,X0,X1] :
( ~ cyclic(sK24,sK21,X0,X1)
| cyclic(sK21,X0,X1,X2) ),
inference(resolution,[],[f12338,f287]) ).
fof(f12860,plain,
! [X2,X0,X1] : cyclic(sK21,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f12839,f12338]) ).
fof(f13443,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22) ),
inference(resolution,[],[f12461,f338]) ).
fof(f13469,plain,
midp(sK22,sK22,sK22),
inference(forward_subsumption_resolution,[],[f13443,f4123]) ).
fof(f13578,plain,
midp(sK22,sK20,sK20),
inference(resolution,[],[f13469,f4016]) ).
fof(f13617,plain,
( midp(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK22) ),
inference(resolution,[],[f13578,f3984]) ).
fof(f13639,plain,
midp(sK20,sK20,sK22),
inference(forward_subsumption_resolution,[],[f13617,f4071]) ).
fof(f14280,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK21,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f12860,f287]) ).
fof(f14310,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f14280,f12860]) ).
fof(f14888,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,[],[f1714,f314]) ).
fof(f14901,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,[],[f14888]) ).
fof(f14902,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14901,f14310]) ).
fof(f14915,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f14902,f14310]) ).
fof(f14918,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f14915,f14310]) ).
fof(f15165,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f14918,f338]) ).
fof(f15192,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f15165,f11357]) ).
fof(f15234,plain,
! [X0] :
( ~ coll(sK21,sK21,X0)
| midp(X0,sK21,sK21) ),
inference(resolution,[],[f15192,f3701]) ).
fof(f15235,plain,
! [X0] :
( ~ coll(sK20,sK20,X0)
| midp(sK20,X0,X0) ),
inference(resolution,[],[f15192,f4759]) ).
fof(f15261,plain,
! [X0] : midp(sK20,X0,X0),
inference(forward_subsumption_resolution,[],[f15235,f11357]) ).
fof(f15262,plain,
! [X0] : midp(X0,sK21,sK21),
inference(forward_subsumption_resolution,[],[f15234,f11357]) ).
fof(f15664,plain,
! [X0,X1] :
( perp(sK20,sK20,X0,X1)
| ~ midp(sK20,X0,X0) ),
inference(resolution,[],[f15261,f1589]) ).
fof(f15683,plain,
! [X0,X1] : perp(sK20,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f15664,f15261]) ).
fof(f15794,plain,
! [X0,X1] :
( ~ coll(sK21,sK21,X0)
| midp(X1,X0,X0) ),
inference(resolution,[],[f15262,f2839]) ).
fof(f15826,plain,
! [X0,X1] : midp(X1,X0,X0),
inference(forward_subsumption_resolution,[],[f15794,f11357]) ).
fof(f18701,plain,
( perp(sK20,sK21,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(resolution,[],[f1832,f6583]) ).
fof(f18760,plain,
( perp(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[],[f18701,f15683]) ).
fof(f18787,plain,
( perp(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(forward_subsumption_resolution,[],[f18760,f13639]) ).
fof(f18792,plain,
perp(sK20,sK21,sK20,sK21),
inference(forward_subsumption_resolution,[],[f18787,f11357]) ).
fof(f18798,plain,
perp(sK20,sK21,sK21,sK20),
inference(resolution,[],[f18792,f277]) ).
fof(f18829,plain,
! [X0] :
( cong(sK20,X0,sK21,X0)
| ~ midp(X0,sK20,sK20) ),
inference(resolution,[],[f18798,f323]) ).
fof(f18838,plain,
! [X0] : cong(sK20,X0,sK21,X0),
inference(forward_subsumption_resolution,[],[f18829,f15826]) ).
fof(f19000,plain,
! [X0,X1] :
( ~ cong(sK20,X0,sK21,X0)
| perp(sK20,sK21,X0,X1) ),
inference(resolution,[],[f18838,f327]) ).
fof(f19001,plain,
! [X0,X1] : perp(sK20,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f19000,f18838]) ).
fof(f19742,plain,
! [X0,X1] : perp(X0,X1,sK20,sK21),
inference(resolution,[],[f19001,f278]) ).
fof(f20747,plain,
! [X0,X1] :
( ~ coll(sK23,sK20,sK22)
| para(X0,X1,sK21,sK22) ),
inference(resolution,[],[f19742,f723]) ).
fof(f20775,plain,
! [X0,X1] : para(X0,X1,sK21,sK22),
inference(forward_subsumption_resolution,[],[f20747,f11357]) ).
fof(f23357,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| ~ para(X2,X3,sK21,sK22) ),
inference(resolution,[],[f20775,f1688]) ).
fof(f23362,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f23357,f20775]) ).
fof(f28716,plain,
$false,
inference(resolution,[],[f23362,f389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO589+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.38 % Computer : n020.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Sun Sep 27 08:36:26 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.42 Running first-order model finding
% 0.15/5.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.68/6.48 % (3094682)Will run a generic schedule for satisfiability detection.
% 6.68/6.48 % (3094690)dis+10_1_sil=32000:sp=arity:random_seed=582801386:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.68/6.48 % (3094688)% WARNING: option uhcvi not known.
% 6.68/6.48 % (3094689)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3483863415:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.68/6.48 % (3094687)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1210675227_2999 on theBenchmark for (2999ds/0Mi)
% 6.68/6.48 % (3094688)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2670221786:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.68/6.48 % (3094691)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1286696390:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.68/6.48 % (3094692)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2223828928:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/6.48 % (3094693)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2060121933:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.68/6.49 % TRYING [1]
% 6.68/6.49 % TRYING [2]
% 6.68/6.49 % (3094690)Instruction limit reached!
% 6.68/6.49 % (3094690)------------------------------
% 6.68/6.49 % (3094690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/6.49 % (3094690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/6.49 % (3094690)CaDiCaL version: 2.1.3
% 6.68/6.49 % (3094690)Termination reason: Instruction limit
% 6.68/6.49 % (3094690)Termination phase: Saturation
% 6.68/6.49 % (3094690)Time elapsed: 0.036 s
% 6.68/6.49 % (3094690)Peak memory usage: 12 MB
% 6.68/6.49 % (3094690)Instructions burned: 104 (million)
% 6.68/6.49 % TRYING [3]
% 6.68/6.49 % (3094701)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3429396748:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.68/6.49 % TRYING [1]
% 6.68/6.49 % TRYING [2]
% 6.68/6.49 % (3094691)Instruction limit reached!
% 6.68/6.49 % (3094691)------------------------------
% 6.68/6.49 % (3094691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/6.49 % (3094691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/6.49 % (3094691)CaDiCaL version: 2.1.3
% 6.68/6.49 % (3094691)Termination reason: Instruction limit
% 6.68/6.49 % (3094691)Termination phase: Saturation
% 6.68/6.49 % (3094691)Time elapsed: 0.066 s
% 6.68/6.49 % (3094691)Peak memory usage: 12 MB
% 6.68/6.49 % (3094691)Instructions burned: 117 (million)
% 6.68/6.49 % TRYING [3]
% 6.68/6.49 % (3094692)Instruction limit reached!
% 6.68/6.49 % (3094692)------------------------------
% 6.68/6.49 % (3094692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/6.49 % (3094692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/6.49 % (3094692)CaDiCaL version: 2.1.3
% 6.68/6.49 % (3094692)Termination reason: Instruction limit
% 6.68/6.49 % (3094692)Termination phase: Saturation
% 6.68/6.49 % (3094692)Time elapsed: 0.084 s
% 6.68/6.49 % (3094692)Peak memory usage: 14 MB
% 6.68/6.49 % (3094692)Instructions burned: 131 (million)
% 6.68/6.49 % (3094703)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1552660389:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.68/6.49 % (3094693)Instruction limit reached!
% 6.68/6.49 % (3094693)------------------------------
% 6.68/6.49 % (3094693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/6.49 % (3094693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.68/6.49 % (3094693)CaDiCaL version: 2.1.3
% 6.68/6.49 % (3094693)Termination reason: Instruction limit
% 6.68/6.49 % (3094693)Termination phase: Saturation
% 6.68/6.49 % (3094693)Time elapsed: 0.095 s
% 6.68/6.49 % (3094693)Peak memory usage: 14 MB
% 6.68/6.49 % (3094693)Instructions burned: 159 (million)
% 6.68/6.49 % (3094704)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=2127316509:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.68/6.49 % (3094706)ott-21_1_sil=16000:fs=off:random_seed=2398509069:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.68/6.49 % (3094703)Instruction limit reached!
% 6.68/6.49 % (3094703)------------------------------
% 6.68/6.49 % (3094703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.68/6.49 % (3094703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094703)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094703)Termination reason: Instruction limit
% 14.26/8.15 % (3094703)Termination phase: Saturation
% 14.26/8.15 % (3094703)Time elapsed: 0.084 s
% 14.26/8.15 % (3094703)Peak memory usage: 14 MB
% 14.26/8.15 % (3094703)Instructions burned: 132 (million)
% 14.26/8.15 % (3094701)Instruction limit reached!
% 14.26/8.15 % (3094701)------------------------------
% 14.26/8.15 % (3094701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094701)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094701)Termination reason: Instruction limit
% 14.26/8.15 % (3094701)Termination phase: Finite model building constraint generation
% 14.26/8.15 % (3094701)Time elapsed: 0.134 s
% 14.26/8.15 % (3094701)Peak memory usage: 24 MB
% 14.26/8.15 % (3094701)Instructions burned: 716 (million)
% 14.26/8.15 % (3094710)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1545470790:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 14.26/8.15 % (3094709)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=417975365:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 14.26/8.15 % TRYING [1]
% 14.26/8.15 % TRYING [2]
% 14.26/8.15 % (3094706)Instruction limit reached!
% 14.26/8.15 % (3094706)------------------------------
% 14.26/8.15 % (3094706)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094706)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094706)Termination reason: Instruction limit
% 14.26/8.15 % (3094706)Termination phase: Saturation
% 14.26/8.15 % (3094706)Time elapsed: 0.094 s
% 14.26/8.15 % (3094706)Peak memory usage: 13 MB
% 14.26/8.15 % (3094706)Instructions burned: 181 (million)
% 14.26/8.15 % TRYING [3]
% 14.26/8.15 % (3094713)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2045475746:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 14.26/8.15 % (3094710)Instruction limit reached!
% 14.26/8.15 % (3094710)------------------------------
% 14.26/8.15 % (3094710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094710)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094710)Termination reason: Instruction limit
% 14.26/8.15 % (3094710)Termination phase: Finite model building constraint generation
% 14.26/8.15 % (3094710)Time elapsed: 0.163 s
% 14.26/8.15 % (3094710)Peak memory usage: 51 MB
% 14.26/8.15 % (3094710)Instructions burned: 871 (million)
% 14.26/8.15 % (3094715)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2550363441:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 14.26/8.15 % (3094715)Cannot represent all propositional literals internally
% 14.26/8.15 % (3094715)Refutation not found, incomplete strategy
% 14.26/8.15 % (3094715)------------------------------
% 14.26/8.15 % (3094715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094715)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094715)Termination reason: Refutation not found, incomplete strategy
% 14.26/8.15 % (3094715)Time elapsed: 0.003 s
% 14.26/8.15 % (3094715)Peak memory usage: 10 MB
% 14.26/8.15 % (3094715)Instructions burned: 12 (million)
% 14.26/8.15 % (3094715)------------------------------
% 14.26/8.15 % (3094715)------------------------------
% 14.26/8.15 % (3094717)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=3465447548: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)
% 14.26/8.15 % (3094709)Instruction limit reached!
% 14.26/8.15 % (3094709)------------------------------
% 14.26/8.15 % (3094709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094709)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094709)Termination reason: Instruction limit
% 14.26/8.15 % (3094709)Termination phase: Saturation
% 14.26/8.15 % (3094709)Time elapsed: 0.288 s
% 14.26/8.15 % (3094709)Peak memory usage: 14 MB
% 14.26/8.15 % (3094709)Instructions burned: 477 (million)
% 14.26/8.15 % (3094704)Instruction limit reached!
% 14.26/8.15 % (3094704)------------------------------
% 14.26/8.15 % (3094704)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094704)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094704)Termination reason: Instruction limit
% 14.26/8.15 % (3094704)Termination phase: Saturation
% 14.26/8.15 % (3094704)Time elapsed: 0.394 s
% 14.26/8.15 % (3094704)Peak memory usage: 19 MB
% 14.26/8.15 % (3094704)Instructions burned: 686 (million)
% 14.26/8.15 % (3094719)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2230672364:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 14.26/8.15 % (3094721)fmb+10_1_sil=64000:random_seed=496387636:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 14.26/8.15 % TRYING [1]
% 14.26/8.15 % TRYING [2]
% 14.26/8.15 % (3094717)Instruction limit reached!
% 14.26/8.15 % (3094717)------------------------------
% 14.26/8.15 % (3094717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094717)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094717)Termination reason: Instruction limit
% 14.26/8.15 % (3094717)Termination phase: Saturation
% 14.26/8.15 % (3094717)Time elapsed: 0.204 s
% 14.26/8.15 % (3094717)Peak memory usage: 16 MB
% 14.26/8.15 % (3094717)Instructions burned: 694 (million)
% 14.26/8.15 % (3094723)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=110624228:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 14.26/8.15 % (3094723)Cannot represent all propositional literals internally
% 14.26/8.15 % (3094723)Refutation not found, incomplete strategy
% 14.26/8.15 % (3094723)------------------------------
% 14.26/8.15 % (3094723)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094723)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094723)Termination reason: Refutation not found, incomplete strategy
% 14.26/8.15 % (3094723)Time elapsed: 0.003 s
% 14.26/8.15 % (3094723)Peak memory usage: 10 MB
% 14.26/8.15 % (3094723)Instructions burned: 12 (million)
% 14.26/8.15 % (3094723)------------------------------
% 14.26/8.15 % (3094723)------------------------------
% 14.26/8.15 % (3094725)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3536057137:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 14.26/8.15 % TRYING [3]
% 14.26/8.15 % TRYING [8]
% 14.26/8.15 % (3094725)Instruction limit reached!
% 14.26/8.15 % (3094725)------------------------------
% 14.26/8.15 % (3094725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094725)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094725)Termination reason: Instruction limit
% 14.26/8.15 % (3094725)Termination phase: Finite model building constraint generation
% 14.26/8.15 % (3094725)Time elapsed: 0.151 s
% 14.26/8.15 % (3094725)Peak memory usage: 45 MB
% 14.26/8.15 % (3094725)Instructions burned: 920 (million)
% 14.26/8.15 % (3094727)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=264758633:i=5131_2992 on theBenchmark for (2992ds/5131Mi)
% 14.26/8.15 % (3094713)Instruction limit reached!
% 14.26/8.15 % (3094713)------------------------------
% 14.26/8.15 % (3094713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094713)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094713)Termination reason: Instruction limit
% 14.26/8.15 % (3094713)Termination phase: Saturation
% 14.26/8.15 % (3094713)Time elapsed: 0.678 s
% 14.26/8.15 % (3094713)Peak memory usage: 21 MB
% 14.26/8.15 % (3094713)Instructions burned: 1181 (million)
% 14.26/8.15 % (3094729)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3499334650:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 14.26/8.15 % (3094719)Instruction limit reached!
% 14.26/8.15 % (3094719)------------------------------
% 14.26/8.15 % (3094719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094719)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094719)Termination reason: Instruction limit
% 14.26/8.15 % (3094719)Termination phase: Saturation
% 14.26/8.15 % (3094719)Time elapsed: 0.502 s
% 14.26/8.15 % (3094719)Peak memory usage: 18 MB
% 14.26/8.15 % (3094719)Instructions burned: 880 (million)
% 14.26/8.15 % (3094731)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2221950979:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 14.26/8.15 % (3094731)Cannot represent all propositional literals internally
% 14.26/8.15 % (3094731)Refutation not found, incomplete strategy
% 14.26/8.15 % (3094731)------------------------------
% 14.26/8.15 % (3094731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094731)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094731)Termination reason: Refutation not found, incomplete strategy
% 14.26/8.15 % (3094731)Time elapsed: 0.008 s
% 14.26/8.15 % (3094731)Peak memory usage: 11 MB
% 14.26/8.15 % (3094731)Instructions burned: 15 (million)
% 14.26/8.15 % (3094731)------------------------------
% 14.26/8.15 % (3094731)------------------------------
% 14.26/8.15 % (3094733)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=694531302:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 14.26/8.15 % (3094733)Cannot represent all propositional literals internally
% 14.26/8.15 % (3094733)Refutation not found, incomplete strategy
% 14.26/8.15 % (3094733)------------------------------
% 14.26/8.15 % (3094733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094733)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094733)Termination reason: Refutation not found, incomplete strategy
% 14.26/8.15 % (3094733)Time elapsed: 0.083 s
% 14.26/8.15 % (3094733)Peak memory usage: 12 MB
% 14.26/8.15 % (3094733)Instructions burned: 166 (million)
% 14.26/8.15 % (3094733)------------------------------
% 14.26/8.15 % (3094733)------------------------------
% 14.26/8.15 % (3094735)ott-2_1_sil=16000:newcnf=on:random_seed=1524336412:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 14.26/8.15 % (3094735)Instruction limit reached!
% 14.26/8.15 % (3094735)------------------------------
% 14.26/8.15 % (3094735)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094735)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094735)Termination reason: Instruction limit
% 14.26/8.15 % (3094735)Termination phase: Saturation
% 14.26/8.15 % (3094735)Time elapsed: 0.518 s
% 14.26/8.15 % (3094735)Peak memory usage: 16 MB
% 14.26/8.15 % (3094735)Instructions burned: 870 (million)
% 14.26/8.15 % (3094737)ott+10_1_sil=32000:tgt=ground:random_seed=2968908744:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 14.26/8.15 % (3094729)Instruction limit reached!
% 14.26/8.15 % (3094729)------------------------------
% 14.26/8.15 % (3094729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094729)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094729)Termination reason: Instruction limit
% 14.26/8.15 % (3094729)Termination phase: Saturation
% 14.26/8.15 % (3094729)Time elapsed: 0.935 s
% 14.26/8.15 % (3094729)Peak memory usage: 31 MB
% 14.26/8.15 % (3094729)Instructions burned: 1473 (million)
% 14.26/8.15 % (3094739)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=954798298:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 14.26/8.15 % TRYING [1]
% 14.26/8.15 % TRYING [2]
% 14.26/8.15 % TRYING [3]
% 14.26/8.15 % TRYING [4]
% 14.26/8.15 % (3094727)Instruction limit reached!
% 14.26/8.15 % (3094727)------------------------------
% 14.26/8.15 % (3094727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094727)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094727)Termination reason: Instruction limit
% 14.26/8.15 % (3094727)Termination phase: Saturation
% 14.26/8.15 % (3094727)Time elapsed: 1.654 s
% 14.26/8.15 % (3094727)Peak memory usage: 34 MB
% 14.26/8.15 % (3094727)Instructions burned: 5133 (million)
% 14.26/8.15 % (3094741)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=3319680897:i=3512:aac=none_2975 on theBenchmark for (2975ds/3512Mi)
% 14.26/8.15 % (3094737) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3094682-3094737"...
% 14.26/8.15 % (3094737)...printing done.
% 14.26/8.15 % (3094737)Refutation found. Thanks to Tanya!
% 14.26/8.15 % SZS status Theorem for theBenchmark
% 14.26/8.15 % SZS output start Proof for theBenchmark
% See solution above
% 14.26/8.15 % (3094737)------------------------------
% 14.26/8.15 % (3094737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 14.26/8.15 % (3094737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.26/8.15 % (3094737)CaDiCaL version: 2.1.3
% 14.26/8.15 % (3094737)Termination reason: Refutation
% 14.26/8.15 % (3094737)Time elapsed: 0.947 s
% 14.26/8.15 % (3094737)Peak memory usage: 26 MB
% 14.26/8.15 % (3094737)Instructions burned: 1522 (million)
% 14.26/8.15 % (3094682)Success in time 2.717 s
% 14.26/8.15 % Vampire exiting
%------------------------------------------------------------------------------