%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO571+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:54:45 AM UTC 2026
% Result : Theorem 11.07s 3.32s
% Output : Refutation 11.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 25
% Syntax : Number of formulae : 145 ( 27 unt; 0 def)
% Number of atoms : 374 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 380 ( 151 ~; 147 |; 56 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-5 aty)
% Number of variables : 601 ( 580 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X0,X2,X2,X1)
& coll(X1,X3,X4) )
=> ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X1)
& coll(X5,X2,X4)
& perp(X2,X4,X4,X6)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X1,X7) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X1)
& coll(X5,X2,X4)
& perp(X2,X4,X4,X6)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X1,X7) )
=> eqangle(X0,X5,X5,X6,X7,X5,X5,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(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(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(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(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(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X5,X3,X4)
& perp(X5,X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X2)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X1)
& coll(X5,X2,X4)
& perp(X2,X4,X4,X6)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X1,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ eqangle(X0,X5,X5,X6,X7,X5,X5,X2)
& circle(X3,X0,X1,X2)
& circle(X3,X0,X4,X8)
& coll(X5,X0,X1)
& coll(X5,X2,X4)
& perp(X2,X4,X4,X6)
& perp(X0,X1,X0,X6)
& perp(X2,X4,X2,X7)
& perp(X0,X1,X1,X7) ),
inference(flattening,[],[f249]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(sK16(X0,X1,X2,X3,X4),X3,X4)
& perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) )
| ~ perp(X0,X2,X2,X1)
| ~ coll(X1,X3,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( ~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22)
& circle(sK23,sK20,sK21,sK22)
& circle(sK23,sK20,sK24,sK28)
& coll(sK25,sK20,sK21)
& coll(sK25,sK22,sK24)
& perp(sK22,sK24,sK24,sK26)
& perp(sK20,sK21,sK20,sK26)
& perp(sK22,sK24,sK22,sK27)
& perp(sK20,sK21,sK21,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(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(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(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f384,plain,
perp(sK20,sK21,sK21,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
perp(sK22,sK24,sK22,sK27),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f414,plain,
perp(sK22,sK24,sK27,sK22),
inference(resolution,[],[f277,f385]) ).
fof(f419,plain,
perp(sK21,sK27,sK20,sK21),
inference(resolution,[],[f278,f384]) ).
fof(f427,plain,
perp(sK27,sK22,sK22,sK24),
inference(resolution,[],[f414,f278]) ).
fof(f562,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK21,sK27) ),
inference(resolution,[],[f279,f384]) ).
fof(f564,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK22,sK24)
| para(X0,X1,sK22,sK27) ),
inference(resolution,[],[f279,f385]) ).
fof(f617,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f645,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(f651,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1) ),
inference(resolution,[],[f290,f310]) ).
fof(f658,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(f885,plain,
! [X0,X1] :
( perp(sK16(sK20,sK27,sK21,X0,X1),sK20,X0,X1)
| ~ coll(sK27,X0,X1) ),
inference(resolution,[],[f377,f384]) ).
fof(f1027,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
| ~ para(X4,X5,X8,X9) ),
inference(resolution,[],[f292,f310]) ).
fof(f1125,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(f1131,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,[],[f1125]) ).
fof(f1291,plain,
para(sK21,sK27,sK21,sK27),
inference(resolution,[],[f562,f419]) ).
fof(f1305,plain,
para(sK27,sK22,sK22,sK27),
inference(resolution,[],[f564,f427]) ).
fof(f1401,plain,
! [X2,X3,X0,X1] :
( ~ perp(X2,X3,sK16(sK20,sK27,sK21,X0,X1),sK20)
| ~ coll(sK27,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[],[f885,f279]) ).
fof(f1622,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f617,f339]) ).
fof(f1713,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f645,f309]) ).
fof(f1804,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f651,f344]) ).
fof(f1892,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f658,f313]) ).
fof(f1893,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f658,f312]) ).
fof(f1903,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1892,f1893]) ).
fof(f2185,plain,
coll(sK21,sK27,sK27),
inference(resolution,[],[f1291,f337]) ).
fof(f2225,plain,
coll(sK27,sK21,sK27),
inference(resolution,[],[f2185,f272]) ).
fof(f2230,plain,
! [X0] :
( ~ coll(sK27,sK21,X0)
| coll(X0,sK27,sK27) ),
inference(resolution,[],[f2225,f273]) ).
fof(f2444,plain,
para(sK27,sK22,sK27,sK22),
inference(resolution,[],[f1305,f274]) ).
fof(f3562,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X0,X1,X4,X5)
| ~ para(X2,X3,X6,X7) ),
inference(resolution,[],[f1027,f645]) ).
fof(f4341,plain,
coll(sK27,sK27,sK27),
inference(resolution,[],[f2230,f2225]) ).
fof(f15231,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1713,f2444]) ).
fof(f15233,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f15231,f337]) ).
fof(f15238,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f15231,f335]) ).
fof(f15273,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f15238,f15231]) ).
fof(f15280,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f15233,f272]) ).
fof(f15636,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f15280,f271]) ).
fof(f15959,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f1903,f15231]) ).
fof(f15962,plain,
! [X0] : cyclic(sK27,sK27,sK21,X0),
inference(resolution,[],[f1903,f1291]) ).
fof(f15972,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f15636,f273]) ).
fof(f16026,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f15972,f15636]) ).
fof(f20551,plain,
( ~ cyclic(sK27,sK27,sK21,sK27)
| ~ cyclic(sK27,sK27,sK21,sK27)
| cong(sK27,sK27,sK27,sK27) ),
inference(resolution,[],[f15962,f1131]) ).
fof(f20557,plain,
( ~ cyclic(sK27,sK27,sK21,sK27)
| cong(sK27,sK27,sK27,sK27) ),
inference(duplicate_literal_removal,[],[f20551]) ).
fof(f20558,plain,
cong(sK27,sK27,sK27,sK27),
inference(forward_subsumption_resolution,[],[f20557,f15959]) ).
fof(f21409,plain,
( midp(sK27,sK27,sK27)
| ~ coll(sK27,sK27,sK27) ),
inference(resolution,[],[f20558,f338]) ).
fof(f21440,plain,
midp(sK27,sK27,sK27),
inference(forward_subsumption_resolution,[],[f21409,f4341]) ).
fof(f26788,plain,
! [X0] : midp(sK27,X0,X0),
inference(resolution,[],[f15273,f21440]) ).
fof(f26812,plain,
! [X0,X1] :
( perp(sK27,sK27,X0,X1)
| ~ midp(sK27,X0,X0) ),
inference(resolution,[],[f26788,f1622]) ).
fof(f26825,plain,
! [X0,X1] : perp(sK27,sK27,X0,X1),
inference(forward_subsumption_resolution,[],[f26812,f26788]) ).
fof(f27082,plain,
! [X0,X1] :
( ~ coll(sK27,X0,X1)
| para(sK27,sK27,X0,X1) ),
inference(resolution,[],[f26825,f1401]) ).
fof(f27099,plain,
! [X0,X1] : para(sK27,sK27,X0,X1),
inference(forward_subsumption_resolution,[],[f27082,f16026]) ).
fof(f28603,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| ~ para(sK27,sK27,X0,X1) ),
inference(resolution,[],[f27099,f1804]) ).
fof(f28625,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f28603,f27099]) ).
fof(f39970,plain,
( ~ para(sK20,sK25,sK27,sK25)
| ~ para(sK25,sK26,sK25,sK22) ),
inference(resolution,[],[f3562,f392]) ).
fof(f40020,plain,
~ para(sK20,sK25,sK27,sK25),
inference(forward_subsumption_resolution,[],[f39970,f28625]) ).
fof(f40032,plain,
$false,
inference(forward_subsumption_resolution,[],[f40020,f28625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO571+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.37 % Computer : n005.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Sun Sep 27 08:32:46 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.40 Running first-order model finding
% 0.08/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.81/1.45 % (3679984)Will run a generic schedule for satisfiability detection.
% 6.81/1.45 % (3679992)dis+10_1_sil=32000:sp=arity:random_seed=3699029604:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.81/1.45 % (3679990)% WARNING: option uhcvi not known.
% 6.81/1.45 % (3679989)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3420482781_2999 on theBenchmark for (2999ds/0Mi)
% 6.81/1.45 % (3679990)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4207108691:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.81/1.45 % (3679991)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1851534898:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.81/1.45 % (3679993)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=215449587:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.81/1.45 % (3679994)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1788302971:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.81/1.45 % (3679995)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2048869347:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.81/1.45 % TRYING [1]
% 6.81/1.45 % TRYING [2]
% 6.81/1.45 % (3679992)Instruction limit reached!
% 6.81/1.45 % (3679992)------------------------------
% 6.81/1.45 % (3679992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.45 % (3679992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.45 % (3679992)CaDiCaL version: 2.1.3
% 6.81/1.45 % (3679992)Termination reason: Instruction limit
% 6.81/1.45 % (3679992)Termination phase: Saturation
% 6.81/1.45 % (3679992)Time elapsed: 0.039 s
% 6.81/1.45 % (3679992)Peak memory usage: 13 MB
% 6.81/1.45 % (3679992)Instructions burned: 106 (million)
% 6.81/1.45 % TRYING [3]
% 6.81/1.45 % (3680003)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1983508205:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.81/1.45 % TRYING [1]
% 6.81/1.45 % TRYING [2]
% 6.81/1.45 % (3679993)Instruction limit reached!
% 6.81/1.45 % (3679993)------------------------------
% 6.81/1.45 % (3679993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.45 % (3679993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.45 % (3679993)CaDiCaL version: 2.1.3
% 6.81/1.45 % (3679993)Termination reason: Instruction limit
% 6.81/1.45 % (3679993)Termination phase: Saturation
% 6.81/1.45 % (3679993)Time elapsed: 0.067 s
% 6.81/1.45 % (3679993)Peak memory usage: 13 MB
% 6.81/1.45 % (3679993)Instructions burned: 116 (million)
% 6.81/1.45 % (3679994)Instruction limit reached!
% 6.81/1.45 % (3679994)------------------------------
% 6.81/1.45 % (3679994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.45 % (3679994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.45 % (3679994)CaDiCaL version: 2.1.3
% 6.81/1.45 % (3679994)Termination reason: Instruction limit
% 6.81/1.45 % (3679994)Termination phase: Saturation
% 6.81/1.45 % (3679994)Time elapsed: 0.082 s
% 6.81/1.45 % (3679994)Peak memory usage: 14 MB
% 6.81/1.45 % (3679994)Instructions burned: 131 (million)
% 6.81/1.45 % (3680005)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4061910348:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.81/1.45 % TRYING [3]
% 6.81/1.45 % (3679995)Instruction limit reached!
% 6.81/1.45 % (3679995)------------------------------
% 6.81/1.45 % (3679995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.45 % (3679995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.81/1.45 % (3679995)CaDiCaL version: 2.1.3
% 6.81/1.45 % (3679995)Termination reason: Instruction limit
% 6.81/1.45 % (3679995)Termination phase: Saturation
% 6.81/1.45 % (3679995)Time elapsed: 0.095 s
% 6.81/1.45 % (3679995)Peak memory usage: 14 MB
% 6.81/1.45 % (3679995)Instructions burned: 159 (million)
% 6.81/1.45 % (3680006)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=3549836227:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.81/1.45 % (3680008)ott-21_1_sil=16000:fs=off:random_seed=856310465:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.81/1.45 % (3680005)Instruction limit reached!
% 6.81/1.45 % (3680005)------------------------------
% 6.81/1.45 % (3680005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.81/1.45 % (3680005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680005)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680005)Termination reason: Instruction limit
% 11.07/3.32 % (3680005)Termination phase: Saturation
% 11.07/3.32 % (3680005)Time elapsed: 0.084 s
% 11.07/3.32 % (3680005)Peak memory usage: 14 MB
% 11.07/3.32 % (3680005)Instructions burned: 131 (million)
% 11.07/3.32 % (3680011)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3390988507:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.07/3.32 % (3680003)Instruction limit reached!
% 11.07/3.32 % (3680003)------------------------------
% 11.07/3.32 % (3680003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680003)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680003)Termination reason: Instruction limit
% 11.07/3.32 % (3680003)Termination phase: Finite model building constraint generation
% 11.07/3.32 % (3680003)Time elapsed: 0.151 s
% 11.07/3.32 % (3680003)Peak memory usage: 24 MB
% 11.07/3.32 % (3680003)Instructions burned: 716 (million)
% 11.07/3.32 % (3680008)Instruction limit reached!
% 11.07/3.32 % (3680008)------------------------------
% 11.07/3.32 % (3680008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680008)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680008)Termination reason: Instruction limit
% 11.07/3.32 % (3680008)Termination phase: Saturation
% 11.07/3.32 % (3680008)Time elapsed: 0.095 s
% 11.07/3.32 % (3680008)Peak memory usage: 13 MB
% 11.07/3.32 % (3680008)Instructions burned: 180 (million)
% 11.07/3.32 % (3680013)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3670783223:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.07/3.32 % TRYING [1]
% 11.07/3.32 % TRYING [2]
% 11.07/3.32 % (3680014)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3381090333:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 11.07/3.32 % TRYING [3]
% 11.07/3.32 % (3680013)Instruction limit reached!
% 11.07/3.32 % (3680013)------------------------------
% 11.07/3.32 % (3680013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680013)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680013)Termination reason: Instruction limit
% 11.07/3.32 % (3680013)Termination phase: Finite model building constraint generation
% 11.07/3.32 % (3680013)Time elapsed: 0.166 s
% 11.07/3.32 % (3680013)Peak memory usage: 50 MB
% 11.07/3.32 % (3680013)Instructions burned: 867 (million)
% 11.07/3.32 % (3680017)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=97869117:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.07/3.32 % (3680017)Cannot represent all propositional literals internally
% 11.07/3.32 % (3680017)Refutation not found, incomplete strategy
% 11.07/3.32 % (3680017)------------------------------
% 11.07/3.32 % (3680017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680017)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680017)Termination reason: Refutation not found, incomplete strategy
% 11.07/3.32 % (3680017)Time elapsed: 0.003 s
% 11.07/3.32 % (3680017)Peak memory usage: 10 MB
% 11.07/3.32 % (3680017)Instructions burned: 13 (million)
% 11.07/3.32 % (3680017)------------------------------
% 11.07/3.32 % (3680017)------------------------------
% 11.07/3.32 % (3680019)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=3635482309: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)
% 11.07/3.32 % (3680011)Instruction limit reached!
% 11.07/3.32 % (3680011)------------------------------
% 11.07/3.32 % (3680011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680011)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680011)Termination reason: Instruction limit
% 11.07/3.32 % (3680011)Termination phase: Saturation
% 11.07/3.32 % (3680011)Time elapsed: 0.276 s
% 11.07/3.32 % (3680011)Peak memory usage: 14 MB
% 11.07/3.32 % (3680011)Instructions burned: 477 (million)
% 11.07/3.32 % (3680021)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2965442416:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.07/3.32 % (3680006)Instruction limit reached!
% 11.07/3.32 % (3680006)------------------------------
% 11.07/3.32 % (3680006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680006)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680006)Termination reason: Instruction limit
% 11.07/3.32 % (3680006)Termination phase: Saturation
% 11.07/3.32 % (3680006)Time elapsed: 0.393 s
% 11.07/3.32 % (3680006)Peak memory usage: 20 MB
% 11.07/3.32 % (3680006)Instructions burned: 686 (million)
% 11.07/3.32 % (3680023)fmb+10_1_sil=64000:random_seed=3985964741:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 11.07/3.32 % TRYING [1]
% 11.07/3.32 % TRYING [2]
% 11.07/3.32 % TRYING [3]
% 11.07/3.32 % (3680019)Instruction limit reached!
% 11.07/3.32 % (3680019)------------------------------
% 11.07/3.32 % (3680019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680019)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680019)Termination reason: Instruction limit
% 11.07/3.32 % (3680019)Termination phase: Saturation
% 11.07/3.32 % (3680019)Time elapsed: 0.221 s
% 11.07/3.32 % (3680019)Peak memory usage: 22 MB
% 11.07/3.32 % (3680019)Instructions burned: 693 (million)
% 11.07/3.32 % (3680025)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2190359618:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 11.07/3.32 % (3680025)Cannot represent all propositional literals internally
% 11.07/3.32 % (3680025)Refutation not found, incomplete strategy
% 11.07/3.32 % (3680025)------------------------------
% 11.07/3.32 % (3680025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680025)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680025)Termination reason: Refutation not found, incomplete strategy
% 11.07/3.32 % (3680025)Time elapsed: 0.003 s
% 11.07/3.32 % (3680025)Peak memory usage: 10 MB
% 11.07/3.32 % (3680025)Instructions burned: 13 (million)
% 11.07/3.32 % (3680025)------------------------------
% 11.07/3.32 % (3680025)------------------------------
% 11.07/3.32 % (3680027)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=552331773:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 11.07/3.32 % TRYING [8]
% 11.07/3.32 % (3680027)Instruction limit reached!
% 11.07/3.32 % (3680027)------------------------------
% 11.07/3.32 % (3680027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680027)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680027)Termination reason: Instruction limit
% 11.07/3.32 % (3680027)Termination phase: Finite model building constraint generation
% 11.07/3.32 % (3680027)Time elapsed: 0.158 s
% 11.07/3.32 % (3680027)Peak memory usage: 46 MB
% 11.07/3.32 % (3680027)Instructions burned: 924 (million)
% 11.07/3.32 % (3680029)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3663686837:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 11.07/3.32 % (3680014)Instruction limit reached!
% 11.07/3.32 % (3680014)------------------------------
% 11.07/3.32 % (3680014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680014)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680014)Termination reason: Instruction limit
% 11.07/3.32 % (3680014)Termination phase: Saturation
% 11.07/3.32 % (3680014)Time elapsed: 0.713 s
% 11.07/3.32 % (3680014)Peak memory usage: 23 MB
% 11.07/3.32 % (3680014)Instructions burned: 1179 (million)
% 11.07/3.32 % (3680031)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2416724349:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 11.07/3.32 % (3680021)Instruction limit reached!
% 11.07/3.32 % (3680021)------------------------------
% 11.07/3.32 % (3680021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680021)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680021)Termination reason: Instruction limit
% 11.07/3.32 % (3680021)Termination phase: Saturation
% 11.07/3.32 % (3680021)Time elapsed: 0.494 s
% 11.07/3.32 % (3680021)Peak memory usage: 18 MB
% 11.07/3.32 % (3680021)Instructions burned: 880 (million)
% 11.07/3.32 % (3680033)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2898326449:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 11.07/3.32 % (3680033)Cannot represent all propositional literals internally
% 11.07/3.32 % (3680033)Refutation not found, incomplete strategy
% 11.07/3.32 % (3680033)------------------------------
% 11.07/3.32 % (3680033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680033)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680033)Termination reason: Refutation not found, incomplete strategy
% 11.07/3.32 % (3680033)Time elapsed: 0.008 s
% 11.07/3.32 % (3680033)Peak memory usage: 11 MB
% 11.07/3.32 % (3680033)Instructions burned: 16 (million)
% 11.07/3.32 % (3680033)------------------------------
% 11.07/3.32 % (3680033)------------------------------
% 11.07/3.32 % (3680035)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2153222464:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 11.07/3.32 % (3680035)Cannot represent all propositional literals internally
% 11.07/3.32 % (3680035)Refutation not found, incomplete strategy
% 11.07/3.32 % (3680035)------------------------------
% 11.07/3.32 % (3680035)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680035)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680035)Termination reason: Refutation not found, incomplete strategy
% 11.07/3.32 % (3680035)Time elapsed: 0.082 s
% 11.07/3.32 % (3680035)Peak memory usage: 12 MB
% 11.07/3.32 % (3680035)Instructions burned: 166 (million)
% 11.07/3.32 % (3680035)------------------------------
% 11.07/3.32 % (3680035)------------------------------
% 11.07/3.32 % (3680037)ott-2_1_sil=16000:newcnf=on:random_seed=3427858810:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 11.07/3.32 % (3680037)Instruction limit reached!
% 11.07/3.32 % (3680037)------------------------------
% 11.07/3.32 % (3680037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680037)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680037)Termination reason: Instruction limit
% 11.07/3.32 % (3680037)Termination phase: Saturation
% 11.07/3.32 % (3680037)Time elapsed: 0.526 s
% 11.07/3.32 % (3680037)Peak memory usage: 17 MB
% 11.07/3.32 % (3680037)Instructions burned: 869 (million)
% 11.07/3.32 % (3680039)ott+10_1_sil=32000:tgt=ground:random_seed=1387181421:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 11.07/3.32 % (3680031)Instruction limit reached!
% 11.07/3.32 % (3680031)------------------------------
% 11.07/3.32 % (3680031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680031)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680031)Termination reason: Instruction limit
% 11.07/3.32 % (3680031)Termination phase: Saturation
% 11.07/3.32 % (3680031)Time elapsed: 0.983 s
% 11.07/3.32 % (3680031)Peak memory usage: 34 MB
% 11.07/3.32 % (3680031)Instructions burned: 1473 (million)
% 11.07/3.32 % (3680041)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=1926364377:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 11.07/3.32 % TRYING [1]
% 11.07/3.32 % TRYING [2]
% 11.07/3.32 % TRYING [3]
% 11.07/3.32 % TRYING [4]
% 11.07/3.32 % (3680029)Instruction limit reached!
% 11.07/3.32 % (3680029)------------------------------
% 11.07/3.32 % (3680029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.32 % (3680029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.32 % (3680029)CaDiCaL version: 2.1.3
% 11.07/3.32 % (3680029)Termination reason: Instruction limit
% 11.07/3.32 % (3680029)Termination phase: Saturation
% 11.07/3.32 % (3680029)Time elapsed: 1.700 s
% 11.07/3.32 % (3680029)Peak memory usage: 38 MB
% 11.07/3.32 % (3680029)Instructions burned: 5134 (million)
% 11.07/3.32 % (3680043)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=749680195:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 11.07/3.32 % (3680039) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3679984-3680039"...
% 11.07/3.32 % (3680039)...printing done.
% 11.07/3.32 % (3680039)Refutation found. Thanks to Tanya!
% 11.07/3.32 % SZS status Theorem for theBenchmark
% 11.07/3.32 % SZS output start Proof for theBenchmark
% See solution above
% 11.07/3.33 % (3680039)------------------------------
% 11.07/3.33 % (3680039)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.07/3.33 % (3680039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.07/3.33 % (3680039)CaDiCaL version: 2.1.3
% 11.07/3.33 % (3680039)Termination reason: Refutation
% 11.07/3.33 % (3680039)Time elapsed: 1.149 s
% 11.07/3.33 % (3680039)Peak memory usage: 32 MB
% 11.07/3.33 % (3680039)Instructions burned: 1822 (million)
% 11.07/3.33 % (3679984)Success in time 2.91 s
% 11.07/3.33 % Vampire exiting
%------------------------------------------------------------------------------