%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO648+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 : n001.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 09:54:57 AM UTC 2026
% Result : Theorem 19.86s 3.26s
% Output : Refutation 19.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 137 ( 26 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 344 ( 138 ~; 136 |; 45 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 535 ( 514 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X1,X5,X6)
& circle(X0,X1,X2,X7)
& perp(X0,X2,X2,X3)
& perp(X0,X1,X1,X3)
& coll(X2,X0,X4)
& circle(X0,X2,X4,X8) )
=> para(X0,X3,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X0,X1,X5,X6)
& circle(X0,X1,X2,X7)
& perp(X0,X2,X2,X3)
& perp(X0,X1,X1,X3)
& coll(X2,X0,X4)
& circle(X0,X2,X4,X8) )
=> para(X0,X3,X1,X4) ),
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(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] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X1,X5,X6)
& circle(X0,X1,X2,X7)
& perp(X0,X2,X2,X3)
& perp(X0,X1,X1,X3)
& coll(X2,X0,X4)
& circle(X0,X2,X4,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X0,X3,X1,X4)
& circle(X0,X1,X5,X6)
& circle(X0,X1,X2,X7)
& perp(X0,X2,X2,X3)
& perp(X0,X1,X1,X3)
& coll(X2,X0,X4)
& circle(X0,X2,X4,X8) ),
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,
( ~ para(sK20,sK23,sK21,sK24)
& circle(sK20,sK21,sK25,sK26)
& circle(sK20,sK21,sK22,sK27)
& perp(sK20,sK22,sK22,sK23)
& perp(sK20,sK21,sK21,sK23)
& coll(sK22,sK20,sK24)
& circle(sK20,sK22,sK24,sK28) ),
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(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(f386,plain,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ para(sK20,sK23,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f404,plain,
perp(sK20,sK22,sK23,sK22),
inference(resolution,[],[f277,f387]) ).
fof(f405,plain,
perp(sK21,sK23,sK20,sK21),
inference(resolution,[],[f278,f386]) ).
fof(f409,plain,
perp(sK23,sK22,sK20,sK22),
inference(resolution,[],[f404,f278]) ).
fof(f508,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK21,sK23) ),
inference(resolution,[],[f279,f386]) ).
fof(f509,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK22,sK23) ),
inference(resolution,[],[f279,f387]) ).
fof(f558,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f596,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f289,f310]) ).
fof(f604,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X4,X5,X0,X1) ),
inference(resolution,[],[f290,f310]) ).
fof(f612,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(f865,plain,
! [X0,X1] :
( perp(sK16(sK20,sK23,sK22,X0,X1),sK20,X0,X1)
| ~ coll(sK23,X0,X1) ),
inference(resolution,[],[f377,f387]) ).
fof(f1202,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(f1208,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,[],[f1202]) ).
fof(f1284,plain,
para(sK21,sK23,sK21,sK23),
inference(resolution,[],[f508,f405]) ).
fof(f1286,plain,
coll(sK21,sK23,sK23),
inference(resolution,[],[f1284,f337]) ).
fof(f1297,plain,
para(sK23,sK22,sK22,sK23),
inference(resolution,[],[f509,f409]) ).
fof(f1299,plain,
coll(sK23,sK21,sK23),
inference(resolution,[],[f1286,f272]) ).
fof(f1303,plain,
! [X0] :
( ~ coll(sK23,sK21,X0)
| coll(X0,sK23,sK23) ),
inference(resolution,[],[f1299,f273]) ).
fof(f1391,plain,
! [X2,X3,X0,X1] :
( ~ perp(X2,X3,sK16(sK20,sK23,sK22,X0,X1),sK20)
| ~ coll(sK23,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[],[f865,f279]) ).
fof(f1404,plain,
para(sK23,sK22,sK23,sK22),
inference(resolution,[],[f1297,f274]) ).
fof(f1710,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f558,f339]) ).
fof(f1800,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f596,f309]) ).
fof(f1895,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f604,f344]) ).
fof(f1989,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f612,f313]) ).
fof(f1990,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f612,f312]) ).
fof(f2000,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1989,f1990]) ).
fof(f2047,plain,
coll(sK23,sK23,sK23),
inference(resolution,[],[f1303,f1299]) ).
fof(f13912,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1800,f1404]) ).
fof(f13919,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f13912,f337]) ).
fof(f13924,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f13912,f335]) ).
fof(f13951,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f13924,f13912]) ).
fof(f13982,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f13919,f272]) ).
fof(f14180,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f13982,f271]) ).
fof(f14323,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f2000,f13912]) ).
fof(f14335,plain,
! [X0] : cyclic(sK23,sK23,sK21,X0),
inference(resolution,[],[f2000,f1284]) ).
fof(f14352,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f14180,f273]) ).
fof(f14389,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f14352,f14180]) ).
fof(f16136,plain,
( ~ cyclic(sK23,sK23,sK21,sK23)
| ~ cyclic(sK23,sK23,sK21,sK23)
| cong(sK23,sK23,sK23,sK23) ),
inference(resolution,[],[f14335,f1208]) ).
fof(f16142,plain,
( ~ cyclic(sK23,sK23,sK21,sK23)
| cong(sK23,sK23,sK23,sK23) ),
inference(duplicate_literal_removal,[],[f16136]) ).
fof(f16143,plain,
cong(sK23,sK23,sK23,sK23),
inference(forward_subsumption_resolution,[],[f16142,f14323]) ).
fof(f16314,plain,
( midp(sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23) ),
inference(resolution,[],[f16143,f338]) ).
fof(f16337,plain,
midp(sK23,sK23,sK23),
inference(forward_subsumption_resolution,[],[f16314,f2047]) ).
fof(f25209,plain,
! [X0] : midp(sK23,X0,X0),
inference(resolution,[],[f13951,f16337]) ).
fof(f25248,plain,
! [X0,X1] :
( perp(sK23,sK23,X0,X1)
| ~ midp(sK23,X0,X0) ),
inference(resolution,[],[f25209,f1710]) ).
fof(f25257,plain,
! [X0,X1] : perp(sK23,sK23,X0,X1),
inference(forward_subsumption_resolution,[],[f25248,f25209]) ).
fof(f25612,plain,
! [X0,X1] :
( ~ coll(sK23,X0,X1)
| para(sK23,sK23,X0,X1) ),
inference(resolution,[],[f25257,f1391]) ).
fof(f25625,plain,
! [X0,X1] : para(sK23,sK23,X0,X1),
inference(forward_subsumption_resolution,[],[f25612,f14389]) ).
fof(f26735,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| ~ para(sK23,sK23,X0,X1) ),
inference(resolution,[],[f25625,f1895]) ).
fof(f26752,plain,
! [X2,X3,X0,X1] : para(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f26735,f25625]) ).
fof(f34067,plain,
$false,
inference(resolution,[],[f26752,f390]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO648+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 27 08:49:00 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 6.90/1.43 % (3253435)Will run a generic schedule for satisfiability detection.
% 6.90/1.43 % (3253445)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=72247290:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.90/1.43 % (3253441)% WARNING: option uhcvi not known.
% 6.90/1.43 % (3253440)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1560723331_2999 on theBenchmark for (2999ds/0Mi)
% 6.90/1.43 % (3253441)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=44571247:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.90/1.43 % (3253442)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1523831857:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.90/1.43 % (3253443)dis+10_1_sil=32000:sp=arity:random_seed=54097812:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.90/1.43 % (3253444)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=286998297:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.90/1.43 % (3253446)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1447740375:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.90/1.43 % TRYING [1]
% 6.90/1.43 % TRYING [2]
% 6.90/1.43 % TRYING [3]
% 6.90/1.43 % (3253445)Instruction limit reached!
% 6.90/1.43 % (3253445)------------------------------
% 6.90/1.43 % (3253445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.90/1.43 % (3253445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.43 % (3253445)CaDiCaL version: 2.1.3
% 6.90/1.43 % (3253445)Termination reason: Instruction limit
% 6.90/1.43 % (3253445)Termination phase: Saturation
% 6.90/1.43 % (3253445)Time elapsed: 0.045 s
% 6.90/1.43 % (3253445)Peak memory usage: 14 MB
% 6.90/1.43 % (3253445)Instructions burned: 133 (million)
% 6.90/1.43 % (3253454)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1729653948:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.90/1.43 % TRYING [1]
% 6.90/1.43 % TRYING [2]
% 6.90/1.43 % (3253443)Instruction limit reached!
% 6.90/1.43 % (3253443)------------------------------
% 6.90/1.43 % (3253443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.90/1.43 % (3253443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.43 % (3253443)CaDiCaL version: 2.1.3
% 6.90/1.43 % (3253443)Termination reason: Instruction limit
% 6.90/1.43 % (3253443)Termination phase: Saturation
% 6.90/1.43 % (3253443)Time elapsed: 0.066 s
% 6.90/1.43 % (3253443)Peak memory usage: 12 MB
% 6.90/1.43 % (3253443)Instructions burned: 103 (million)
% 6.90/1.43 % (3253444)Instruction limit reached!
% 6.90/1.43 % (3253444)------------------------------
% 6.90/1.43 % (3253444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.90/1.43 % (3253444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.43 % (3253444)CaDiCaL version: 2.1.3
% 6.90/1.43 % (3253444)Termination reason: Instruction limit
% 6.90/1.43 % (3253444)Termination phase: Saturation
% 6.90/1.43 % (3253444)Time elapsed: 0.067 s
% 6.90/1.43 % (3253444)Peak memory usage: 12 MB
% 6.90/1.43 % (3253444)Instructions burned: 117 (million)
% 6.90/1.43 % TRYING [3]
% 6.90/1.43 % (3253456)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3869512941:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 6.90/1.43 % (3253457)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=2198263420:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 6.90/1.43 % (3253446)Instruction limit reached!
% 6.90/1.43 % (3253446)------------------------------
% 6.90/1.43 % (3253446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.90/1.43 % (3253446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.90/1.43 % (3253446)CaDiCaL version: 2.1.3
% 6.90/1.43 % (3253446)Termination reason: Instruction limit
% 6.90/1.43 % (3253446)Termination phase: Saturation
% 6.90/1.43 % (3253446)Time elapsed: 0.099 s
% 6.90/1.43 % (3253446)Peak memory usage: 13 MB
% 6.90/1.43 % (3253446)Instructions burned: 160 (million)
% 6.90/1.43 % (3253460)ott-21_1_sil=16000:fs=off:random_seed=835512918:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.90/1.43 % (3253456)Instruction limit reached!
% 6.90/1.43 % (3253456)------------------------------
% 6.90/1.43 % (3253456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.90/1.43 % (3253456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253456)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253456)Termination reason: Instruction limit
% 19.86/3.26 % (3253456)Termination phase: Saturation
% 19.86/3.26 % (3253456)Time elapsed: 0.084 s
% 19.86/3.26 % (3253456)Peak memory usage: 14 MB
% 19.86/3.26 % (3253456)Instructions burned: 132 (million)
% 19.86/3.26 % (3253454)Instruction limit reached!
% 19.86/3.26 % (3253454)------------------------------
% 19.86/3.26 % (3253454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253454)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253454)Termination reason: Instruction limit
% 19.86/3.26 % (3253454)Termination phase: Finite model building constraint generation
% 19.86/3.26 % (3253454)Time elapsed: 0.133 s
% 19.86/3.26 % (3253454)Peak memory usage: 24 MB
% 19.86/3.26 % (3253454)Instructions burned: 720 (million)
% 19.86/3.26 % (3253462)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1341016232:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 19.86/3.26 % (3253463)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3777279044:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 19.86/3.26 % TRYING [1]
% 19.86/3.26 % TRYING [2]
% 19.86/3.26 % (3253460)Instruction limit reached!
% 19.86/3.26 % (3253460)------------------------------
% 19.86/3.26 % (3253460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253460)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253460)Termination reason: Instruction limit
% 19.86/3.26 % (3253460)Termination phase: Saturation
% 19.86/3.26 % (3253460)Time elapsed: 0.096 s
% 19.86/3.26 % (3253460)Peak memory usage: 12 MB
% 19.86/3.26 % (3253460)Instructions burned: 181 (million)
% 19.86/3.26 % TRYING [3]
% 19.86/3.26 % (3253466)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2882932488:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 19.86/3.26 % (3253463)Instruction limit reached!
% 19.86/3.26 % (3253463)------------------------------
% 19.86/3.26 % (3253463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253463)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253463)Termination reason: Instruction limit
% 19.86/3.26 % (3253463)Termination phase: Finite model building constraint generation
% 19.86/3.26 % (3253463)Time elapsed: 0.164 s
% 19.86/3.26 % (3253463)Peak memory usage: 51 MB
% 19.86/3.26 % (3253463)Instructions burned: 870 (million)
% 19.86/3.26 % (3253468)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=226940140:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 19.86/3.26 % (3253468)Cannot represent all propositional literals internally
% 19.86/3.26 % (3253468)Refutation not found, incomplete strategy
% 19.86/3.26 % (3253468)------------------------------
% 19.86/3.26 % (3253468)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253468)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253468)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.26 % (3253468)Time elapsed: 0.003 s
% 19.86/3.26 % (3253468)Peak memory usage: 10 MB
% 19.86/3.26 % (3253468)Instructions burned: 12 (million)
% 19.86/3.26 % (3253468)------------------------------
% 19.86/3.26 % (3253468)------------------------------
% 19.86/3.26 % (3253470)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=1035597221: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)
% 19.86/3.26 % (3253457)Instruction limit reached!
% 19.86/3.26 % (3253457)------------------------------
% 19.86/3.26 % (3253457)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253457)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253457)Termination reason: Instruction limit
% 19.86/3.26 % (3253457)Termination phase: Saturation
% 19.86/3.26 % (3253457)Time elapsed: 0.382 s
% 19.86/3.26 % (3253457)Peak memory usage: 18 MB
% 19.86/3.26 % (3253457)Instructions burned: 684 (million)
% 19.86/3.26 % (3253462)Instruction limit reached!
% 19.86/3.26 % (3253462)------------------------------
% 19.86/3.26 % (3253462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253462)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253462)Termination reason: Instruction limit
% 19.86/3.26 % (3253462)Termination phase: Saturation
% 19.86/3.26 % (3253462)Time elapsed: 0.284 s
% 19.86/3.26 % (3253462)Peak memory usage: 14 MB
% 19.86/3.26 % (3253462)Instructions burned: 478 (million)
% 19.86/3.26 % (3253472)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3527704999:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 19.86/3.26 % (3253473)fmb+10_1_sil=64000:random_seed=1848917719:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 19.86/3.26 % TRYING [1]
% 19.86/3.26 % TRYING [2]
% 19.86/3.26 % TRYING [3]
% 19.86/3.26 % (3253470)Instruction limit reached!
% 19.86/3.26 % (3253470)------------------------------
% 19.86/3.26 % (3253470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253470)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253470)Termination reason: Instruction limit
% 19.86/3.26 % (3253470)Termination phase: Saturation
% 19.86/3.26 % (3253470)Time elapsed: 0.218 s
% 19.86/3.26 % (3253470)Peak memory usage: 23 MB
% 19.86/3.26 % (3253470)Instructions burned: 696 (million)
% 19.86/3.26 % (3253476)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=827754729:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 19.86/3.26 % (3253476)Cannot represent all propositional literals internally
% 19.86/3.26 % (3253476)Refutation not found, incomplete strategy
% 19.86/3.26 % (3253476)------------------------------
% 19.86/3.26 % (3253476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253476)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253476)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.26 % (3253476)Time elapsed: 0.003 s
% 19.86/3.26 % (3253476)Peak memory usage: 10 MB
% 19.86/3.26 % (3253476)Instructions burned: 12 (million)
% 19.86/3.26 % (3253476)------------------------------
% 19.86/3.26 % (3253476)------------------------------
% 19.86/3.26 % (3253478)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3841230666:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 19.86/3.26 % TRYING [8]
% 19.86/3.26 % (3253478)Instruction limit reached!
% 19.86/3.26 % (3253478)------------------------------
% 19.86/3.26 % (3253478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253478)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253478)Termination reason: Instruction limit
% 19.86/3.26 % (3253478)Termination phase: Finite model building constraint generation
% 19.86/3.26 % (3253478)Time elapsed: 0.153 s
% 19.86/3.26 % (3253478)Peak memory usage: 45 MB
% 19.86/3.26 % (3253478)Instructions burned: 925 (million)
% 19.86/3.26 % (3253480)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=414646315:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 19.86/3.26 % (3253466)Instruction limit reached!
% 19.86/3.26 % (3253466)------------------------------
% 19.86/3.26 % (3253466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253466)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253466)Termination reason: Instruction limit
% 19.86/3.26 % (3253466)Termination phase: Saturation
% 19.86/3.26 % (3253466)Time elapsed: 0.703 s
% 19.86/3.26 % (3253466)Peak memory usage: 23 MB
% 19.86/3.26 % (3253466)Instructions burned: 1181 (million)
% 19.86/3.26 % (3253482)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2579006020:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 19.86/3.26 % (3253472)Instruction limit reached!
% 19.86/3.26 % (3253472)------------------------------
% 19.86/3.26 % (3253472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253472)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253472)Termination reason: Instruction limit
% 19.86/3.26 % (3253472)Termination phase: Saturation
% 19.86/3.26 % (3253472)Time elapsed: 0.489 s
% 19.86/3.26 % (3253472)Peak memory usage: 18 MB
% 19.86/3.26 % (3253472)Instructions burned: 880 (million)
% 19.86/3.26 % (3253484)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2942755425:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 19.86/3.26 % (3253484)Cannot represent all propositional literals internally
% 19.86/3.26 % (3253484)Refutation not found, incomplete strategy
% 19.86/3.26 % (3253484)------------------------------
% 19.86/3.26 % (3253484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253484)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253484)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.26 % (3253484)Time elapsed: 0.008 s
% 19.86/3.26 % (3253484)Peak memory usage: 11 MB
% 19.86/3.26 % (3253484)Instructions burned: 15 (million)
% 19.86/3.26 % (3253484)------------------------------
% 19.86/3.26 % (3253484)------------------------------
% 19.86/3.26 % (3253486)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1041181709:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 19.86/3.26 % (3253486)Cannot represent all propositional literals internally
% 19.86/3.26 % (3253486)Refutation not found, incomplete strategy
% 19.86/3.26 % (3253486)------------------------------
% 19.86/3.26 % (3253486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253486)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253486)Termination reason: Refutation not found, incomplete strategy
% 19.86/3.26 % (3253486)Time elapsed: 0.082 s
% 19.86/3.26 % (3253486)Peak memory usage: 12 MB
% 19.86/3.26 % (3253486)Instructions burned: 166 (million)
% 19.86/3.26 % (3253486)------------------------------
% 19.86/3.26 % (3253486)------------------------------
% 19.86/3.26 % (3253488)ott-2_1_sil=16000:newcnf=on:random_seed=3017422102:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 19.86/3.26 % (3253488)Instruction limit reached!
% 19.86/3.26 % (3253488)------------------------------
% 19.86/3.26 % (3253488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253488)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253488)Termination reason: Instruction limit
% 19.86/3.26 % (3253488)Termination phase: Saturation
% 19.86/3.26 % (3253488)Time elapsed: 0.521 s
% 19.86/3.26 % (3253488)Peak memory usage: 17 MB
% 19.86/3.26 % (3253488)Instructions burned: 870 (million)
% 19.86/3.26 % (3253490)ott+10_1_sil=32000:tgt=ground:random_seed=1909424161:i=5114:av=off_2983 on theBenchmark for (2983ds/5114Mi)
% 19.86/3.26 % (3253482)Instruction limit reached!
% 19.86/3.26 % (3253482)------------------------------
% 19.86/3.26 % (3253482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253482)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253482)Termination reason: Instruction limit
% 19.86/3.26 % (3253482)Termination phase: Saturation
% 19.86/3.26 % (3253482)Time elapsed: 0.914 s
% 19.86/3.26 % (3253482)Peak memory usage: 29 MB
% 19.86/3.26 % (3253482)Instructions burned: 1473 (million)
% 19.86/3.26 % (3253492)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2761811830:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 19.86/3.26 % TRYING [1]
% 19.86/3.26 % TRYING [2]
% 19.86/3.26 % TRYING [3]
% 19.86/3.26 % (3253480)Instruction limit reached!
% 19.86/3.26 % (3253480)------------------------------
% 19.86/3.26 % (3253480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.26 % (3253480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.26 % (3253480)CaDiCaL version: 2.1.3
% 19.86/3.26 % (3253480)Termination reason: Instruction limit
% 19.86/3.26 % (3253480)Termination phase: Saturation
% 19.86/3.26 % (3253480)Time elapsed: 1.684 s
% 19.86/3.26 % (3253480)Peak memory usage: 35 MB
% 19.86/3.26 % (3253480)Instructions burned: 5131 (million)
% 19.86/3.26 % (3253494)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=107783976:i=3512:aac=none_2974 on theBenchmark for (2974ds/3512Mi)
% 19.86/3.26 % TRYING [4]
% 19.86/3.26 % (3253490) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3253435-3253490"...
% 19.86/3.26 % (3253490)...printing done.
% 19.86/3.26 % (3253490)Refutation found. Thanks to Tanya!
% 19.86/3.26 % SZS status Theorem for theBenchmark
% 19.86/3.26 % SZS output start Proof for theBenchmark
% See solution above
% 19.86/3.27 % (3253490)------------------------------
% 19.86/3.27 % (3253490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 19.86/3.27 % (3253490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.86/3.27 % (3253490)CaDiCaL version: 2.1.3
% 19.86/3.27 % (3253490)Termination reason: Refutation
% 19.86/3.27 % (3253490)Time elapsed: 1.115 s
% 19.86/3.27 % (3253490)Peak memory usage: 29 MB
% 19.86/3.27 % (3253490)Instructions burned: 1763 (million)
% 19.86/3.27 % (3253435)Success in time 2.866 s
% 19.86/3.27 % Vampire exiting
%------------------------------------------------------------------------------