%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO590+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 : n013.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 5.93s 2.51s
% Output : Refutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 28
% Syntax : Number of formulae : 194 ( 65 unt; 0 def)
% Number of atoms : 414 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 374 ( 154 ~; 148 |; 43 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 601 ( 586 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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(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(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(f56,axiom,
! [X0,X1,X2,X3] :
( ( midp(X2,X0,X1)
& perp(X3,X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3)
& cyclic(X0,X1,X2,X3) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(f90,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( ( perp(X0,X2,X2,X1)
& cyclic(X0,X1,X2,X3) )
=> circle(X4,X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX14) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) )
=> cong(X4,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416052) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) )
=> cong(X4,X2,X4,X5) ),
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(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(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(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(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(f178,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( cong(X3,X0,X3,X1)
| ~ midp(X2,X0,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(flattening,[],[f178]) ).
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(f182,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f182]) ).
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(f201,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(f239,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f90]) ).
fof(f240,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X4,X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f239]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ cong(X4,X2,X4,X5)
& perp(X2,X0,X2,X1)
& midp(X3,X1,X0)
& perp(X0,X1,X0,X4)
& perp(X2,X3,X2,X4)
& coll(X5,X0,X4)
& coll(X5,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f265,plain,
! [X0,X1,X2,X3] :
( circle(sK15(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X4,sK15(X0,X1,X2,X3))],[f240]) ).
fof(f270,plain,
( ~ cong(sK24,sK22,sK24,sK25)
& perp(sK22,sK20,sK22,sK21)
& midp(sK23,sK21,sK20)
& perp(sK20,sK21,sK20,sK24)
& perp(sK22,sK23,sK22,sK24)
& coll(sK25,sK20,sK24)
& coll(sK25,sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(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(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
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(f326,plain,
! [X2,X3,X0,X1] :
( ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1)
| ~ perp(X3,X2,X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
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(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X1)
| midp(X4,X2,X3)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
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(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f376,plain,
! [X2,X3,X0,X1] :
( circle(sK15(X0,X1,X2,X3),X0,X1,X2)
| ~ perp(X0,X2,X2,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f265]) ).
fof(f387,plain,
perp(sK20,sK21,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
midp(sK23,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ cong(sK24,sK22,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f413,plain,
midp(sK23,sK20,sK21),
inference(resolution,[],[f281,f388]) ).
fof(f417,plain,
coll(sK23,sK21,sK20),
inference(resolution,[],[f340,f388]) ).
fof(f418,plain,
coll(sK23,sK20,sK21),
inference(resolution,[],[f340,f413]) ).
fof(f419,plain,
coll(sK21,sK23,sK20),
inference(resolution,[],[f417,f272]) ).
fof(f431,plain,
~ midp(sK24,sK22,sK25),
inference(resolution,[],[f339,f390]) ).
fof(f437,plain,
perp(sK20,sK24,sK20,sK21),
inference(resolution,[],[f278,f387]) ).
fof(f504,plain,
! [X0] :
( ~ coll(sK21,sK23,X0)
| coll(X0,sK20,sK21) ),
inference(resolution,[],[f273,f419]) ).
fof(f508,plain,
! [X0] :
( ~ coll(sK23,sK21,X0)
| coll(X0,sK20,sK23) ),
inference(resolution,[],[f273,f417]) ).
fof(f509,plain,
! [X0] :
( ~ coll(sK23,sK20,X0)
| coll(X0,sK21,sK23) ),
inference(resolution,[],[f273,f418]) ).
fof(f560,plain,
coll(sK20,sK20,sK23),
inference(resolution,[],[f508,f417]) ).
fof(f563,plain,
coll(sK20,sK23,sK20),
inference(resolution,[],[f560,f271]) ).
fof(f564,plain,
! [X0] :
( ~ coll(sK20,sK23,X0)
| coll(X0,sK20,sK20) ),
inference(resolution,[],[f563,f273]) ).
fof(f666,plain,
coll(sK20,sK20,sK21),
inference(resolution,[],[f504,f419]) ).
fof(f669,plain,
coll(sK20,sK21,sK20),
inference(resolution,[],[f666,f271]) ).
fof(f679,plain,
coll(sK21,sK21,sK23),
inference(resolution,[],[f509,f418]) ).
fof(f683,plain,
coll(sK21,sK23,sK21),
inference(resolution,[],[f679,f271]) ).
fof(f684,plain,
coll(sK21,sK20,sK21),
inference(resolution,[],[f683,f504]) ).
fof(f690,plain,
coll(sK21,sK21,sK20),
inference(resolution,[],[f684,f271]) ).
fof(f1218,plain,
coll(sK20,sK20,sK20),
inference(resolution,[],[f564,f563]) ).
fof(f1574,plain,
! [X0] :
( ~ perp(X0,sK23,sK21,sK20)
| cong(X0,sK21,X0,sK20) ),
inference(resolution,[],[f326,f388]) ).
fof(f1867,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f279,f387]) ).
fof(f2826,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f1867,f437]) ).
fof(f2831,plain,
! [X0,X1] : eqangle(sK20,sK24,X0,X1,sK20,sK24,X0,X1),
inference(resolution,[],[f2826,f310]) ).
fof(f2886,plain,
! [X0,X1] : eqangle(X0,X1,sK20,sK24,X0,X1,sK20,sK24),
inference(resolution,[],[f2831,f289]) ).
fof(f2900,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f2886,f309]) ).
fof(f2903,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f2900,f337]) ).
fof(f2906,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[],[f2900,f310]) ).
fof(f2910,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f2903,f272]) ).
fof(f3130,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f2910,f271]) ).
fof(f3347,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f3130,f273]) ).
fof(f3386,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f3347,f3130]) ).
fof(f5254,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3),
inference(resolution,[],[f2906,f291]) ).
fof(f5559,plain,
! [X2,X0,X1] :
( cyclic(X0,X0,X1,X2)
| ~ coll(X1,X2,X0) ),
inference(resolution,[],[f313,f5254]) ).
fof(f5582,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f5559,f3386]) ).
fof(f5689,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f5582,f287]) ).
fof(f5694,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f5689,f5582]) ).
fof(f5781,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(resolution,[],[f5694,f311]) ).
fof(f6086,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2),
inference(resolution,[],[f5781,f288]) ).
fof(f6425,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X0,X3,X1,X3,X2),
inference(resolution,[],[f6086,f289]) ).
fof(f7488,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,sK22,sK20,sK22,sK21)
| perp(X0,X1,X2,X3) ),
inference(resolution,[],[f345,f389]) ).
fof(f9858,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| ~ cyclic(X0,X2,X1,X3)
| perp(X0,X2,X2,X1)
| ~ coll(sK15(X0,X2,X1,X3),X0,X1) ),
inference(resolution,[],[f376,f324]) ).
fof(f9859,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| perp(X0,X2,X2,X1)
| ~ coll(sK15(X0,X2,X1,X3),X0,X1) ),
inference(forward_subsumption_resolution,[],[f9858,f5694]) ).
fof(f9864,plain,
! [X2,X0,X1] :
( ~ perp(X0,X1,X1,X2)
| perp(X0,X2,X2,X1) ),
inference(forward_subsumption_resolution,[],[f9859,f3386]) ).
fof(f34907,plain,
! [X0] : perp(X0,sK20,sK21,X0),
inference(resolution,[],[f7488,f6425]) ).
fof(f34910,plain,
! [X0] : perp(sK20,X0,X0,sK21),
inference(resolution,[],[f7488,f6086]) ).
fof(f34953,plain,
! [X0] : perp(sK20,sK21,sK21,X0),
inference(resolution,[],[f34910,f9864]) ).
fof(f35051,plain,
! [X0] : perp(sK21,X0,X0,sK20),
inference(resolution,[],[f34907,f278]) ).
fof(f35066,plain,
! [X0] : perp(sK21,X0,sK20,sK21),
inference(resolution,[],[f34953,f278]) ).
fof(f35067,plain,
! [X0] : perp(sK20,sK21,X0,sK21),
inference(resolution,[],[f34953,f277]) ).
fof(f35212,plain,
! [X0] : perp(sK21,sK20,sK20,X0),
inference(resolution,[],[f35051,f9864]) ).
fof(f35239,plain,
! [X0] : perp(sK21,X0,sK21,sK20),
inference(resolution,[],[f35066,f277]) ).
fof(f35255,plain,
! [X0] : perp(X0,sK21,sK20,sK21),
inference(resolution,[],[f35067,f278]) ).
fof(f35423,plain,
! [X0] : perp(sK20,X0,sK21,sK20),
inference(resolution,[],[f35212,f278]) ).
fof(f35451,plain,
cong(sK21,sK21,sK21,sK20),
inference(resolution,[],[f35239,f1574]) ).
fof(f35461,plain,
! [X0] : perp(X0,sK21,sK21,sK20),
inference(resolution,[],[f35255,f277]) ).
fof(f35588,plain,
cong(sK20,sK21,sK20,sK20),
inference(resolution,[],[f35423,f1574]) ).
fof(f35637,plain,
( midp(sK21,sK21,sK20)
| ~ coll(sK21,sK21,sK20) ),
inference(resolution,[],[f35451,f338]) ).
fof(f35638,plain,
midp(sK21,sK21,sK20),
inference(forward_subsumption_resolution,[],[f35637,f690]) ).
fof(f35646,plain,
! [X0] :
( cong(X0,sK21,X0,sK20)
| ~ perp(X0,sK21,sK21,sK20) ),
inference(resolution,[],[f35638,f326]) ).
fof(f35654,plain,
! [X0] : cong(X0,sK21,X0,sK20),
inference(forward_subsumption_resolution,[],[f35646,f35461]) ).
fof(f35955,plain,
( midp(sK20,sK21,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(resolution,[],[f35588,f338]) ).
fof(f35956,plain,
midp(sK20,sK21,sK20),
inference(forward_subsumption_resolution,[],[f35955,f669]) ).
fof(f35962,plain,
midp(sK20,sK20,sK21),
inference(resolution,[],[f35956,f281]) ).
fof(f35979,plain,
! [X0] :
( ~ perp(sK20,X0,X0,sK21)
| cong(sK20,sK20,X0,sK20) ),
inference(resolution,[],[f35962,f323]) ).
fof(f35987,plain,
! [X0] : cong(sK20,sK20,X0,sK20),
inference(forward_subsumption_resolution,[],[f35979,f34910]) ).
fof(f36185,plain,
! [X0] :
( midp(X0,sK21,sK20)
| ~ coll(X0,sK21,sK20) ),
inference(resolution,[],[f35654,f338]) ).
fof(f36186,plain,
! [X0] : midp(X0,sK21,sK20),
inference(forward_subsumption_resolution,[],[f36185,f3386]) ).
fof(f36190,plain,
! [X0] : midp(X0,sK20,sK21),
inference(resolution,[],[f36186,f281]) ).
fof(f36193,plain,
! [X0,X1] :
( ~ perp(sK21,X0,X0,sK20)
| cong(sK21,X1,X0,X1) ),
inference(resolution,[],[f36186,f323]) ).
fof(f36205,plain,
! [X0,X1] : cong(sK21,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f36193,f35051]) ).
fof(f36211,plain,
! [X0,X1] :
( ~ perp(sK20,X0,X0,sK21)
| cong(sK20,X1,X0,X1) ),
inference(resolution,[],[f36190,f323]) ).
fof(f36222,plain,
! [X0,X1] : cong(sK20,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f36211,f34910]) ).
fof(f37025,plain,
! [X0,X1] :
( ~ cong(sK20,X0,X1,X0)
| perp(X0,sK20,sK20,sK20)
| ~ cyclic(sK20,X1,X0,sK20) ),
inference(resolution,[],[f35987,f328]) ).
fof(f37032,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20) ),
inference(resolution,[],[f35987,f338]) ).
fof(f37033,plain,
midp(sK20,sK20,sK20),
inference(forward_subsumption_resolution,[],[f37032,f1218]) ).
fof(f37036,plain,
! [X0,X1] :
( perp(X0,sK20,sK20,sK20)
| ~ cyclic(sK20,X1,X0,sK20) ),
inference(forward_subsumption_resolution,[],[f37025,f36222]) ).
fof(f37037,plain,
! [X0] : perp(X0,sK20,sK20,sK20),
inference(forward_subsumption_resolution,[],[f37036,f5694]) ).
fof(f37043,plain,
! [X0] :
( cong(X0,sK20,X0,sK20)
| ~ perp(X0,sK20,sK20,sK20) ),
inference(resolution,[],[f37033,f326]) ).
fof(f37051,plain,
! [X0] : cong(X0,sK20,X0,sK20),
inference(forward_subsumption_resolution,[],[f37043,f37037]) ).
fof(f37170,plain,
! [X2,X0,X1] :
( ~ cong(sK21,X0,X1,X0)
| perp(sK21,X1,X0,X2) ),
inference(resolution,[],[f36205,f327]) ).
fof(f37179,plain,
! [X2,X0,X1] : perp(sK21,X1,X0,X2),
inference(forward_subsumption_resolution,[],[f37170,f36205]) ).
fof(f38127,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,sK21,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f37179,f279]) ).
fof(f38128,plain,
! [X2,X0,X1] : perp(X0,X1,sK21,X2),
inference(resolution,[],[f37179,f278]) ).
fof(f38134,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f38127,f38128]) ).
fof(f38462,plain,
! [X0] :
( midp(X0,sK20,sK20)
| ~ coll(X0,sK20,sK20) ),
inference(resolution,[],[f37051,f338]) ).
fof(f38463,plain,
! [X0] : midp(X0,sK20,sK20),
inference(forward_subsumption_resolution,[],[f38462,f3386]) ).
fof(f38472,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ para(sK20,X1,sK20,X2)
| ~ para(sK20,X2,sK20,X1) ),
inference(resolution,[],[f38463,f335]) ).
fof(f38481,plain,
! [X2,X0,X1] :
( midp(X0,X1,X2)
| ~ para(sK20,X1,sK20,X2) ),
inference(forward_subsumption_resolution,[],[f38472,f38134]) ).
fof(f38483,plain,
! [X2,X0,X1] : midp(X0,X1,X2),
inference(forward_subsumption_resolution,[],[f38481,f38134]) ).
fof(f38499,plain,
$false,
inference(resolution,[],[f38483,f431]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO590+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 08:34:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.68/1.70 % (4115009)Will run a generic schedule for satisfiability detection.
% 8.68/1.70 % (4115015)% WARNING: option uhcvi not known.
% 8.68/1.70 % (4115015)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=246314661:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 8.68/1.70 % (4115014)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2885822624_2999 on theBenchmark for (2999ds/0Mi)
% 8.68/1.70 % (4115018)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1086266571:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 8.68/1.70 % (4115016)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=935232962:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 8.68/1.70 % (4115017)dis+10_1_sil=32000:sp=arity:random_seed=253521565:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 8.68/1.70 % (4115019)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=934529608:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 8.68/1.70 % (4115020)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1385592980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 8.68/1.70 % TRYING [1]
% 8.68/1.70 % TRYING [2]
% 8.68/1.70 % TRYING [3]
% 8.68/1.70 % (4115017)Instruction limit reached!
% 8.68/1.70 % (4115017)------------------------------
% 8.68/1.70 % (4115017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.70 % (4115017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.70 % (4115017)CaDiCaL version: 2.1.3
% 8.68/1.70 % (4115017)Termination reason: Instruction limit
% 8.68/1.70 % (4115017)Termination phase: Saturation
% 8.68/1.70 % (4115017)Time elapsed: 0.066 s
% 8.68/1.70 % (4115017)Peak memory usage: 12 MB
% 8.68/1.70 % (4115017)Instructions burned: 103 (million)
% 8.68/1.70 % (4115018)Instruction limit reached!
% 8.68/1.70 % (4115018)------------------------------
% 8.68/1.70 % (4115018)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.70 % (4115018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.70 % (4115018)CaDiCaL version: 2.1.3
% 8.68/1.70 % (4115018)Termination reason: Instruction limit
% 8.68/1.70 % (4115018)Termination phase: Saturation
% 8.68/1.70 % (4115018)Time elapsed: 0.068 s
% 8.68/1.70 % (4115018)Peak memory usage: 13 MB
% 8.68/1.70 % (4115018)Instructions burned: 116 (million)
% 8.68/1.70 % (4115019)Instruction limit reached!
% 8.68/1.70 % (4115019)------------------------------
% 8.68/1.70 % (4115019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.70 % (4115019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.70 % (4115019)CaDiCaL version: 2.1.3
% 8.68/1.70 % (4115019)Termination reason: Instruction limit
% 8.68/1.70 % (4115019)Termination phase: Saturation
% 8.68/1.70 % (4115019)Time elapsed: 0.082 s
% 8.68/1.70 % (4115019)Peak memory usage: 14 MB
% 8.68/1.70 % (4115019)Instructions burned: 133 (million)
% 8.68/1.70 % (4115028)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3898129719:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 8.68/1.70 % (4115029)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1929105137:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 8.68/1.70 % (4115020)Instruction limit reached!
% 8.68/1.70 % (4115020)------------------------------
% 8.68/1.70 % (4115020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.70 % (4115020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.68/1.70 % (4115020)CaDiCaL version: 2.1.3
% 8.68/1.70 % (4115020)Termination reason: Instruction limit
% 8.68/1.70 % (4115020)Termination phase: Saturation
% 8.68/1.70 % (4115020)Time elapsed: 0.093 s
% 8.68/1.70 % (4115020)Peak memory usage: 14 MB
% 8.68/1.70 % (4115020)Instructions burned: 159 (million)
% 8.68/1.70 % TRYING [1]
% 8.68/1.70 % TRYING [2]
% 8.68/1.70 % (4115030)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=3649436801:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 8.68/1.70 % (4115033)ott-21_1_sil=16000:fs=off:random_seed=4094874291:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 8.68/1.70 % TRYING [3]
% 8.68/1.70 % (4115029)Instruction limit reached!
% 8.68/1.70 % (4115029)------------------------------
% 8.68/1.70 % (4115029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.68/1.70 % (4115029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115029)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115029)Termination reason: Instruction limit
% 5.93/2.51 % (4115029)Termination phase: Saturation
% 5.93/2.51 % (4115029)Time elapsed: 0.083 s
% 5.93/2.51 % (4115029)Peak memory usage: 14 MB
% 5.93/2.51 % (4115029)Instructions burned: 131 (million)
% 5.93/2.51 % (4115036)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=910021243:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.93/2.51 % (4115033)Instruction limit reached!
% 5.93/2.51 % (4115033)------------------------------
% 5.93/2.51 % (4115033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115033)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115033)Termination reason: Instruction limit
% 5.93/2.51 % (4115033)Termination phase: Saturation
% 5.93/2.51 % (4115033)Time elapsed: 0.097 s
% 5.93/2.51 % (4115033)Peak memory usage: 13 MB
% 5.93/2.51 % (4115033)Instructions burned: 180 (million)
% 5.93/2.51 % (4115038)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=735267285:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.93/2.51 % TRYING [1]
% 5.93/2.51 % TRYING [2]
% 5.93/2.51 % TRYING [3]
% 5.93/2.51 % (4115028)Instruction limit reached!
% 5.93/2.51 % (4115028)------------------------------
% 5.93/2.51 % (4115028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115028)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115028)Termination reason: Instruction limit
% 5.93/2.51 % (4115028)Termination phase: Finite model building constraint generation
% 5.93/2.51 % (4115028)Time elapsed: 0.251 s
% 5.93/2.51 % (4115028)Peak memory usage: 24 MB
% 5.93/2.51 % (4115028)Instructions burned: 717 (million)
% 5.93/2.51 % (4115040)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4148332503:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 5.93/2.51 % (4115030)Instruction limit reached!
% 5.93/2.51 % (4115030)------------------------------
% 5.93/2.51 % (4115030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115030)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115030)Termination reason: Instruction limit
% 5.93/2.51 % (4115030)Termination phase: Saturation
% 5.93/2.51 % (4115030)Time elapsed: 0.389 s
% 5.93/2.51 % (4115030)Peak memory usage: 19 MB
% 5.93/2.51 % (4115030)Instructions burned: 685 (million)
% 5.93/2.51 % (4115036)Instruction limit reached!
% 5.93/2.51 % (4115036)------------------------------
% 5.93/2.51 % (4115036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115036)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115036)Termination reason: Instruction limit
% 5.93/2.51 % (4115036)Termination phase: Saturation
% 5.93/2.51 % (4115036)Time elapsed: 0.308 s
% 5.93/2.51 % (4115036)Peak memory usage: 15 MB
% 5.93/2.51 % (4115036)Instructions burned: 477 (million)
% 5.93/2.51 % (4115042)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3209157883:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.93/2.51 % (4115043)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=3464145755:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.93/2.51 % (4115042)Cannot represent all propositional literals internally
% 5.93/2.51 % (4115042)Refutation not found, incomplete strategy
% 5.93/2.51 % (4115042)------------------------------
% 5.93/2.51 % (4115042)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115042)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115042)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.51 % (4115042)Time elapsed: 0.006 s
% 5.93/2.51 % (4115042)Peak memory usage: 11 MB
% 5.93/2.51 % (4115042)Instructions burned: 12 (million)
% 5.93/2.51 % (4115042)------------------------------
% 5.93/2.51 % (4115042)------------------------------
% 5.93/2.51 % (4115038)Instruction limit reached!
% 5.93/2.51 % (4115038)------------------------------
% 5.93/2.51 % (4115038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115038)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115038)Termination reason: Instruction limit
% 5.93/2.51 % (4115038)Termination phase: Finite model building constraint generation
% 5.93/2.51 % (4115038)Time elapsed: 0.304 s
% 5.93/2.51 % (4115038)Peak memory usage: 51 MB
% 5.93/2.51 % (4115038)Instructions burned: 867 (million)
% 5.93/2.51 % (4115046)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3792908741:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 5.93/2.51 % (4115048)fmb+10_1_sil=64000:random_seed=4231739896:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 5.93/2.51 % TRYING [1]
% 5.93/2.51 % TRYING [2]
% 5.93/2.51 % TRYING [3]
% 5.93/2.51 % (4115043)Instruction limit reached!
% 5.93/2.51 % (4115043)------------------------------
% 5.93/2.51 % (4115043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115043)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115043)Termination reason: Instruction limit
% 5.93/2.51 % (4115043)Termination phase: Saturation
% 5.93/2.51 % (4115043)Time elapsed: 0.382 s
% 5.93/2.51 % (4115043)Peak memory usage: 23 MB
% 5.93/2.51 % (4115043)Instructions burned: 692 (million)
% 5.93/2.51 % (4115050)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3247715627:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 5.93/2.51 % (4115050)Cannot represent all propositional literals internally
% 5.93/2.51 % (4115050)Refutation not found, incomplete strategy
% 5.93/2.51 % (4115050)------------------------------
% 5.93/2.51 % (4115050)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115050)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115050)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.51 % (4115050)Time elapsed: 0.006 s
% 5.93/2.51 % (4115050)Peak memory usage: 10 MB
% 5.93/2.51 % (4115050)Instructions burned: 12 (million)
% 5.93/2.51 % (4115050)------------------------------
% 5.93/2.51 % (4115050)------------------------------
% 5.93/2.51 % (4115052)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=715082274:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 5.93/2.51 % TRYING [8]
% 5.93/2.51 % (4115046)Instruction limit reached!
% 5.93/2.51 % (4115046)------------------------------
% 5.93/2.51 % (4115046)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115046)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115046)Termination reason: Instruction limit
% 5.93/2.51 % (4115046)Termination phase: Saturation
% 5.93/2.51 % (4115046)Time elapsed: 0.494 s
% 5.93/2.51 % (4115046)Peak memory usage: 18 MB
% 5.93/2.51 % (4115046)Instructions burned: 881 (million)
% 5.93/2.51 % (4115054)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3595650235:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 5.93/2.51 % (4115040)Instruction limit reached!
% 5.93/2.51 % (4115040)------------------------------
% 5.93/2.51 % (4115040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115040)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115040)Termination reason: Instruction limit
% 5.93/2.51 % (4115040)Termination phase: Saturation
% 5.93/2.51 % (4115040)Time elapsed: 0.706 s
% 5.93/2.51 % (4115040)Peak memory usage: 23 MB
% 5.93/2.51 % (4115040)Instructions burned: 1179 (million)
% 5.93/2.51 % (4115056)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2385392813:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 5.93/2.51 % (4115052)Instruction limit reached!
% 5.93/2.51 % (4115052)------------------------------
% 5.93/2.51 % (4115052)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115052)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115052)Termination reason: Instruction limit
% 5.93/2.51 % (4115052)Termination phase: Finite model building constraint generation
% 5.93/2.51 % (4115052)Time elapsed: 0.280 s
% 5.93/2.51 % (4115052)Peak memory usage: 45 MB
% 5.93/2.51 % (4115052)Instructions burned: 920 (million)
% 5.93/2.51 % (4115058)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=102807576:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 5.93/2.51 % (4115058)Cannot represent all propositional literals internally
% 5.93/2.51 % (4115058)Refutation not found, incomplete strategy
% 5.93/2.51 % (4115058)------------------------------
% 5.93/2.51 % (4115058)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115058)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115058)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.51 % (4115058)Time elapsed: 0.008 s
% 5.93/2.51 % (4115058)Peak memory usage: 11 MB
% 5.93/2.51 % (4115058)Instructions burned: 15 (million)
% 5.93/2.51 % (4115058)------------------------------
% 5.93/2.51 % (4115058)------------------------------
% 5.93/2.51 % (4115060)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2250470191:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 5.93/2.51 % (4115060)Cannot represent all propositional literals internally
% 5.93/2.51 % (4115060)Refutation not found, incomplete strategy
% 5.93/2.51 % (4115060)------------------------------
% 5.93/2.51 % (4115060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115060)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115060)Termination reason: Refutation not found, incomplete strategy
% 5.93/2.51 % (4115060)Time elapsed: 0.082 s
% 5.93/2.51 % (4115060)Peak memory usage: 12 MB
% 5.93/2.51 % (4115060)Instructions burned: 165 (million)
% 5.93/2.51 % (4115060)------------------------------
% 5.93/2.51 % (4115060)------------------------------
% 5.93/2.51 % (4115062)ott-2_1_sil=16000:newcnf=on:random_seed=2363248998:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2985 on theBenchmark for (2985ds/869Mi)
% 5.93/2.51 % (4115062)Instruction limit reached!
% 5.93/2.51 % (4115062)------------------------------
% 5.93/2.51 % (4115062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115062)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115062)Termination reason: Instruction limit
% 5.93/2.51 % (4115062)Termination phase: Saturation
% 5.93/2.51 % (4115062)Time elapsed: 0.541 s
% 5.93/2.51 % (4115062)Peak memory usage: 17 MB
% 5.93/2.51 % (4115062)Instructions burned: 869 (million)
% 5.93/2.51 % (4115064)ott+10_1_sil=32000:tgt=ground:random_seed=1647442455:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 5.93/2.51 % (4115056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4115009-4115056"...
% 5.93/2.51 % (4115056)...printing done.
% 5.93/2.51 % (4115056)Refutation found. Thanks to Tanya!
% 5.93/2.51 % SZS status Theorem for theBenchmark
% 5.93/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 5.93/2.51 % (4115056)------------------------------
% 5.93/2.51 % (4115056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.93/2.51 % (4115056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.93/2.51 % (4115056)CaDiCaL version: 2.1.3
% 5.93/2.51 % (4115056)Termination reason: Refutation
% 5.93/2.51 % (4115056)Time elapsed: 0.929 s
% 5.93/2.51 % (4115056)Peak memory usage: 31 MB
% 5.93/2.51 % (4115056)Instructions burned: 1372 (million)
% 5.93/2.51 % (4115009)Success in time 2.092 s
% 5.93/2.51 % Vampire exiting
%------------------------------------------------------------------------------