%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO655+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 : n004.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 09:54:58 AM UTC 2026
% Result : Theorem 16.14s 3.01s
% Output : Refutation 16.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 131 ( 20 unt; 0 def)
% Number of atoms : 366 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 377 ( 142 ~; 140 |; 71 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-5 aty)
% Number of variables : 564 ( 539 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X3)
& cyclic(X0,X1,X2,X4) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(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,X9,X10] :
( ( midp(X7,X1,X0)
& perp(X1,X0,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X3)
& coll(X4,X0,X2)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X1,X4,X5)
& circle(X3,X1,X5,X10)
& perp(X3,X5,X5,X6) )
=> para(X5,X6,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0229) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( midp(X7,X1,X0)
& perp(X1,X0,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X3)
& coll(X4,X0,X2)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X1,X4,X5)
& circle(X3,X1,X5,X10)
& perp(X3,X5,X5,X6) )
=> para(X5,X6,X0,X2) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(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(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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,X9,X10] :
( ~ para(X5,X6,X0,X2)
& midp(X7,X1,X0)
& perp(X1,X0,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X3)
& coll(X4,X0,X2)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X1,X4,X5)
& circle(X3,X1,X5,X10)
& perp(X3,X5,X5,X6) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ para(X5,X6,X0,X2)
& midp(X7,X1,X0)
& perp(X1,X0,X7,X3)
& midp(X8,X1,X2)
& perp(X1,X2,X8,X3)
& midp(X9,X0,X2)
& perp(X0,X2,X9,X3)
& coll(X4,X0,X2)
& eqangle(X2,X1,X1,X4,X4,X1,X1,X0)
& coll(X1,X4,X5)
& circle(X3,X1,X5,X10)
& perp(X3,X5,X5,X6) ),
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(sK25,sK26,sK20,sK22)
& midp(sK27,sK21,sK20)
& perp(sK21,sK20,sK27,sK23)
& midp(sK28,sK21,sK22)
& perp(sK21,sK22,sK28,sK23)
& midp(sK29,sK20,sK22)
& perp(sK20,sK22,sK29,sK23)
& coll(sK24,sK20,sK22)
& eqangle(sK22,sK21,sK21,sK24,sK24,sK21,sK21,sK20)
& coll(sK21,sK24,sK25)
& circle(sK23,sK21,sK25,sK30)
& perp(sK23,sK25,sK25,sK26) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(f290,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f291,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(sK23,sK25,sK25,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK20,sK22,sK29,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f395,plain,
~ para(sK25,sK26,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f427,plain,
perp(sK29,sK23,sK20,sK22),
inference(resolution,[],[f278,f389]) ).
fof(f544,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK22)
| para(X0,X1,sK29,sK23) ),
inference(resolution,[],[f279,f389]) ).
fof(f571,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK29,sK23)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f427,f279]) ).
fof(f586,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X2,X2) ),
inference(resolution,[],[f327,f339]) ).
fof(f635,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(f636,plain,
! [X2,X3,X0,X1] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ cyclic(X2,X1,X0,X3) ),
inference(resolution,[],[f289,f311]) ).
fof(f645,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(f656,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(f908,plain,
! [X0,X1] :
( perp(sK16(sK23,sK26,sK25,X0,X1),sK23,X0,X1)
| ~ coll(sK26,X0,X1) ),
inference(resolution,[],[f377,f384]) ).
fof(f1344,plain,
para(sK29,sK23,sK29,sK23),
inference(resolution,[],[f544,f427]) ).
fof(f1447,plain,
! [X2,X3,X0,X1] :
( ~ perp(X2,X3,sK16(sK23,sK26,sK25,X0,X1),sK23)
| ~ coll(sK26,X0,X1)
| para(X2,X3,X0,X1) ),
inference(resolution,[],[f908,f279]) ).
fof(f1671,plain,
! [X2,X0,X1] :
( ~ midp(X0,X2,X2)
| perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f586,f339]) ).
fof(f1763,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f635,f309]) ).
fof(f1796,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X1,X3,X1,X2,X0,X3,X0)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f636,f291]) ).
fof(f1857,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X4,X5)
| para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f645,f344]) ).
fof(f1947,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f656,f313]) ).
fof(f1948,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| coll(X0,X2,X1) ),
inference(resolution,[],[f656,f312]) ).
fof(f1958,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2) ),
inference(forward_subsumption_resolution,[],[f1947,f1948]) ).
fof(f11136,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1763,f1344]) ).
fof(f11676,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f11136,f337]) ).
fof(f11677,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(resolution,[],[f11136,f1958]) ).
fof(f11682,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| ~ para(X1,X2,X1,X2)
| midp(X0,X2,X2) ),
inference(resolution,[],[f11136,f335]) ).
fof(f11717,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X1)
| midp(X0,X2,X2) ),
inference(forward_subsumption_resolution,[],[f11682,f11136]) ).
fof(f11739,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f11676,f272]) ).
fof(f11832,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f11739,f271]) ).
fof(f11920,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f11832,f273]) ).
fof(f11935,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f11920,f11832]) ).
fof(f13387,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f11677,f287]) ).
fof(f13418,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f13387,f11677]) ).
fof(f13690,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(resolution,[],[f1796,f314]) ).
fof(f13703,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| ~ cyclic(X1,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(duplicate_literal_removal,[],[f13690]) ).
fof(f13704,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| ~ cyclic(X1,X1,X2,X0)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f13703,f13418]) ).
fof(f13716,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X1,X2,X2)
| cong(X1,X1,X0,X0) ),
inference(forward_subsumption_resolution,[],[f13704,f13418]) ).
fof(f13719,plain,
! [X0,X1] : cong(X1,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f13716,f13418]) ).
fof(f13837,plain,
! [X0] :
( midp(X0,X0,X0)
| ~ coll(X0,X0,X0) ),
inference(resolution,[],[f13719,f338]) ).
fof(f13869,plain,
! [X0] : midp(X0,X0,X0),
inference(forward_subsumption_resolution,[],[f13837,f11935]) ).
fof(f18271,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(resolution,[],[f11717,f13869]) ).
fof(f18362,plain,
! [X2,X0,X1] :
( perp(X0,X0,X1,X2)
| ~ midp(X0,X1,X1) ),
inference(resolution,[],[f18271,f1671]) ).
fof(f18448,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f18362,f18271]) ).
fof(f19387,plain,
! [X2,X0,X1] :
( ~ coll(sK26,X0,X1)
| para(X2,X2,X0,X1) ),
inference(resolution,[],[f18448,f1447]) ).
fof(f19400,plain,
! [X0] : para(X0,X0,sK20,sK22),
inference(resolution,[],[f18448,f571]) ).
fof(f19402,plain,
! [X2,X0,X1] : para(X2,X2,X0,X1),
inference(forward_subsumption_resolution,[],[f19387,f11935]) ).
fof(f19723,plain,
! [X2,X0,X1] :
( para(X0,X1,sK20,sK22)
| ~ para(X2,X2,X0,X1) ),
inference(resolution,[],[f19400,f1857]) ).
fof(f19724,plain,
! [X0,X1] : para(X0,X1,sK20,sK22),
inference(forward_subsumption_resolution,[],[f19723,f19402]) ).
fof(f23573,plain,
$false,
inference(resolution,[],[f19724,f395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO655+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n004.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Sun Sep 27 08:44:22 UTC 2026
% 0.10/0.40 % CPUTime :
% 0.10/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 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
% 6.22/1.47 % (3207956)Will run a generic schedule for satisfiability detection.
% 6.22/1.47 % (3207964)dis+10_1_sil=32000:sp=arity:random_seed=3183074113:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.22/1.47 % (3207962)% WARNING: option uhcvi not known.
% 6.22/1.47 % (3207961)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2733630914_2999 on theBenchmark for (2999ds/0Mi)
% 6.22/1.47 % (3207962)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1322547551:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.22/1.47 % (3207963)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1125834008:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.22/1.47 % (3207965)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2478725729:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.22/1.47 % (3207966)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1914903952:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.22/1.47 % (3207967)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=865622898:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.22/1.47 % TRYING [1]
% 6.22/1.47 % TRYING [2]
% 6.22/1.47 % (3207964)Instruction limit reached!
% 6.22/1.47 % (3207964)------------------------------
% 6.22/1.47 % (3207964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.47 % (3207964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.47 % (3207964)CaDiCaL version: 2.1.3
% 6.22/1.47 % (3207964)Termination reason: Instruction limit
% 6.22/1.47 % (3207964)Termination phase: Saturation
% 6.22/1.47 % (3207964)Time elapsed: 0.037 s
% 6.22/1.47 % (3207964)Peak memory usage: 13 MB
% 6.22/1.47 % (3207964)Instructions burned: 106 (million)
% 6.22/1.47 % TRYING [3]
% 6.22/1.47 % (3207975)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1268913617:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.22/1.47 % TRYING [1]
% 6.22/1.47 % TRYING [2]
% 6.22/1.47 % TRYING [3]
% 6.22/1.47 % (3207965)Instruction limit reached!
% 6.22/1.47 % (3207965)------------------------------
% 6.22/1.47 % (3207965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.47 % (3207965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.47 % (3207965)CaDiCaL version: 2.1.3
% 6.22/1.47 % (3207965)Termination reason: Instruction limit
% 6.22/1.47 % (3207965)Termination phase: Saturation
% 6.22/1.47 % (3207965)Time elapsed: 0.074 s
% 6.22/1.47 % (3207965)Peak memory usage: 13 MB
% 6.22/1.47 % (3207965)Instructions burned: 116 (million)
% 6.22/1.47 % (3207966)Instruction limit reached!
% 6.22/1.47 % (3207966)------------------------------
% 6.22/1.47 % (3207966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.47 % (3207966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.47 % (3207966)CaDiCaL version: 2.1.3
% 6.22/1.47 % (3207966)Termination reason: Instruction limit
% 6.22/1.47 % (3207966)Termination phase: Saturation
% 6.22/1.47 % (3207966)Time elapsed: 0.079 s
% 6.22/1.47 % (3207966)Peak memory usage: 14 MB
% 6.22/1.47 % (3207966)Instructions burned: 131 (million)
% 6.22/1.47 % (3207977)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3579334517:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.22/1.47 % (3207967)Instruction limit reached!
% 6.22/1.47 % (3207967)------------------------------
% 6.22/1.47 % (3207967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.47 % (3207967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.47 % (3207967)CaDiCaL version: 2.1.3
% 6.22/1.47 % (3207967)Termination reason: Instruction limit
% 6.22/1.47 % (3207967)Termination phase: Saturation
% 6.22/1.47 % (3207967)Time elapsed: 0.096 s
% 6.22/1.47 % (3207967)Peak memory usage: 14 MB
% 6.22/1.47 % (3207967)Instructions burned: 160 (million)
% 6.22/1.47 % (3207978)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=564695828:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.22/1.47 % (3207980)ott-21_1_sil=16000:fs=off:random_seed=3207827860:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.22/1.47 % (3207975)Instruction limit reached!
% 6.22/1.47 % (3207975)------------------------------
% 6.22/1.47 % (3207975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.22/1.47 % (3207975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207975)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207975)Termination reason: Instruction limit
% 16.14/3.01 % (3207975)Termination phase: Finite model building constraint generation
% 16.14/3.01 % (3207975)Time elapsed: 0.133 s
% 16.14/3.01 % (3207975)Peak memory usage: 24 MB
% 16.14/3.01 % (3207975)Instructions burned: 720 (million)
% 16.14/3.01 % (3207977)Instruction limit reached!
% 16.14/3.01 % (3207977)------------------------------
% 16.14/3.01 % (3207977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207977)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207977)Termination reason: Instruction limit
% 16.14/3.01 % (3207977)Termination phase: Saturation
% 16.14/3.01 % (3207977)Time elapsed: 0.081 s
% 16.14/3.01 % (3207977)Peak memory usage: 14 MB
% 16.14/3.01 % (3207977)Instructions burned: 131 (million)
% 16.14/3.01 % (3207984)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3369101124:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 16.14/3.01 % TRYING [1]
% 16.14/3.01 % TRYING [2]
% 16.14/3.01 % (3207983)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2996223358:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 16.14/3.01 % (3207980)Instruction limit reached!
% 16.14/3.01 % (3207980)------------------------------
% 16.14/3.01 % (3207980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207980)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207980)Termination reason: Instruction limit
% 16.14/3.01 % (3207980)Termination phase: Saturation
% 16.14/3.01 % (3207980)Time elapsed: 0.094 s
% 16.14/3.01 % (3207980)Peak memory usage: 13 MB
% 16.14/3.01 % (3207980)Instructions burned: 180 (million)
% 16.14/3.01 % TRYING [3]
% 16.14/3.01 % (3207987)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1403304188:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 16.14/3.01 % (3207984)Instruction limit reached!
% 16.14/3.01 % (3207984)------------------------------
% 16.14/3.01 % (3207984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207984)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207984)Termination reason: Instruction limit
% 16.14/3.01 % (3207984)Termination phase: Finite model building constraint generation
% 16.14/3.01 % (3207984)Time elapsed: 0.163 s
% 16.14/3.01 % (3207984)Peak memory usage: 50 MB
% 16.14/3.01 % (3207984)Instructions burned: 867 (million)
% 16.14/3.01 % (3207989)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1213983484:i=889:ins=1_2996 on theBenchmark for (2996ds/889Mi)
% 16.14/3.01 % (3207989)Cannot represent all propositional literals internally
% 16.14/3.01 % (3207989)Refutation not found, incomplete strategy
% 16.14/3.01 % (3207989)------------------------------
% 16.14/3.01 % (3207989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207989)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207989)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.01 % (3207989)Time elapsed: 0.003 s
% 16.14/3.01 % (3207989)Peak memory usage: 10 MB
% 16.14/3.01 % (3207989)Instructions burned: 13 (million)
% 16.14/3.01 % (3207989)------------------------------
% 16.14/3.01 % (3207989)------------------------------
% 16.14/3.01 % (3207991)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=3372577094: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)
% 16.14/3.01 % (3207983)Instruction limit reached!
% 16.14/3.01 % (3207983)------------------------------
% 16.14/3.01 % (3207983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207983)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207983)Termination reason: Instruction limit
% 16.14/3.01 % (3207983)Termination phase: Saturation
% 16.14/3.01 % (3207983)Time elapsed: 0.279 s
% 16.14/3.01 % (3207983)Peak memory usage: 15 MB
% 16.14/3.01 % (3207983)Instructions burned: 477 (million)
% 16.14/3.01 % (3207993)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2377103635:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 16.14/3.01 % (3207978)Instruction limit reached!
% 16.14/3.01 % (3207978)------------------------------
% 16.14/3.01 % (3207978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207978)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207978)Termination reason: Instruction limit
% 16.14/3.01 % (3207978)Termination phase: Saturation
% 16.14/3.01 % (3207978)Time elapsed: 0.425 s
% 16.14/3.01 % (3207978)Peak memory usage: 17 MB
% 16.14/3.01 % (3207978)Instructions burned: 685 (million)
% 16.14/3.01 % (3207995)fmb+10_1_sil=64000:random_seed=3627252461:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 16.14/3.01 % TRYING [1]
% 16.14/3.01 % TRYING [2]
% 16.14/3.01 % (3207991)Instruction limit reached!
% 16.14/3.01 % (3207991)------------------------------
% 16.14/3.01 % (3207991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207991)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207991)Termination reason: Instruction limit
% 16.14/3.01 % (3207991)Termination phase: Saturation
% 16.14/3.01 % (3207991)Time elapsed: 0.226 s
% 16.14/3.01 % (3207991)Peak memory usage: 22 MB
% 16.14/3.01 % (3207991)Instructions burned: 695 (million)
% 16.14/3.01 % (3207997)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=672585120:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 16.14/3.01 % (3207997)Cannot represent all propositional literals internally
% 16.14/3.01 % (3207997)Refutation not found, incomplete strategy
% 16.14/3.01 % (3207997)------------------------------
% 16.14/3.01 % (3207997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207997)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207997)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.01 % (3207997)Time elapsed: 0.003 s
% 16.14/3.01 % (3207997)Peak memory usage: 10 MB
% 16.14/3.01 % (3207997)Instructions burned: 13 (million)
% 16.14/3.01 % (3207997)------------------------------
% 16.14/3.01 % (3207997)------------------------------
% 16.14/3.01 % (3207999)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3252121767:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 16.14/3.01 % TRYING [3]
% 16.14/3.01 % TRYING [8]
% 16.14/3.01 % (3207999)Instruction limit reached!
% 16.14/3.01 % (3207999)------------------------------
% 16.14/3.01 % (3207999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207999)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207999)Termination reason: Instruction limit
% 16.14/3.01 % (3207999)Termination phase: Finite model building constraint generation
% 16.14/3.01 % (3207999)Time elapsed: 0.155 s
% 16.14/3.01 % (3207999)Peak memory usage: 45 MB
% 16.14/3.01 % (3207999)Instructions burned: 924 (million)
% 16.14/3.01 % (3208001)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1104407884:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 16.14/3.01 % (3207987)Instruction limit reached!
% 16.14/3.01 % (3207987)------------------------------
% 16.14/3.01 % (3207987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207987)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207987)Termination reason: Instruction limit
% 16.14/3.01 % (3207987)Termination phase: Saturation
% 16.14/3.01 % (3207987)Time elapsed: 0.727 s
% 16.14/3.01 % (3207987)Peak memory usage: 25 MB
% 16.14/3.01 % (3207987)Instructions burned: 1179 (million)
% 16.14/3.01 % (3207993)Instruction limit reached!
% 16.14/3.01 % (3207993)------------------------------
% 16.14/3.01 % (3207993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3207993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3207993)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3207993)Termination reason: Instruction limit
% 16.14/3.01 % (3207993)Termination phase: Saturation
% 16.14/3.01 % (3207993)Time elapsed: 0.471 s
% 16.14/3.01 % (3207993)Peak memory usage: 18 MB
% 16.14/3.01 % (3207993)Instructions burned: 879 (million)
% 16.14/3.01 % (3208003)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=586691054:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 16.14/3.01 % (3208004)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2498637560:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 16.14/3.01 % (3208004)Cannot represent all propositional literals internally
% 16.14/3.01 % (3208004)Refutation not found, incomplete strategy
% 16.14/3.01 % (3208004)------------------------------
% 16.14/3.01 % (3208004)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208004)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208004)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.01 % (3208004)Time elapsed: 0.008 s
% 16.14/3.01 % (3208004)Peak memory usage: 11 MB
% 16.14/3.01 % (3208004)Instructions burned: 16 (million)
% 16.14/3.01 % (3208004)------------------------------
% 16.14/3.01 % (3208004)------------------------------
% 16.14/3.01 % (3208007)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=933301406:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 16.14/3.01 % (3208007)Cannot represent all propositional literals internally
% 16.14/3.01 % (3208007)Refutation not found, incomplete strategy
% 16.14/3.01 % (3208007)------------------------------
% 16.14/3.01 % (3208007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208007)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208007)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.01 % (3208007)Time elapsed: 0.083 s
% 16.14/3.01 % (3208007)Peak memory usage: 13 MB
% 16.14/3.01 % (3208007)Instructions burned: 166 (million)
% 16.14/3.01 % (3208007)------------------------------
% 16.14/3.01 % (3208007)------------------------------
% 16.14/3.01 % (3208009)ott-2_1_sil=16000:newcnf=on:random_seed=1494803725:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 16.14/3.01 % (3208009)Instruction limit reached!
% 16.14/3.01 % (3208009)------------------------------
% 16.14/3.01 % (3208009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208009)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208009)Termination reason: Instruction limit
% 16.14/3.01 % (3208009)Termination phase: Saturation
% 16.14/3.01 % (3208009)Time elapsed: 0.563 s
% 16.14/3.01 % (3208009)Peak memory usage: 18 MB
% 16.14/3.01 % (3208009)Instructions burned: 870 (million)
% 16.14/3.01 % (3208011)ott+10_1_sil=32000:tgt=ground:random_seed=356765398:i=5114:av=off_2982 on theBenchmark for (2982ds/5114Mi)
% 16.14/3.01 % (3208003)Instruction limit reached!
% 16.14/3.01 % (3208003)------------------------------
% 16.14/3.01 % (3208003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208003)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208003)Termination reason: Instruction limit
% 16.14/3.01 % (3208003)Termination phase: Saturation
% 16.14/3.01 % (3208003)Time elapsed: 0.955 s
% 16.14/3.01 % (3208003)Peak memory usage: 34 MB
% 16.14/3.01 % (3208003)Instructions burned: 1473 (million)
% 16.14/3.01 % (3208013)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=420727891:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 16.14/3.01 % TRYING [1]
% 16.14/3.01 % TRYING [2]
% 16.14/3.01 % TRYING [3]
% 16.14/3.01 % TRYING [4]
% 16.14/3.01 % (3208011) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3207956-3208011"...
% 16.14/3.01 % (3208001)Instruction limit reached!
% 16.14/3.01 % (3208001)------------------------------
% 16.14/3.01 % (3208001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208001)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208001)Termination reason: Instruction limit
% 16.14/3.01 % (3208001)Termination phase: Saturation
% 16.14/3.01 % (3208001)Time elapsed: 1.677 s
% 16.14/3.01 % (3208001)Peak memory usage: 35 MB
% 16.14/3.01 % (3208001)Instructions burned: 5131 (million)
% 16.14/3.01 % (3208011)...printing done.
% 16.14/3.01 % (3208011)Refutation found. Thanks to Tanya!
% 16.14/3.01 % SZS status Theorem for theBenchmark
% 16.14/3.01 % SZS output start Proof for theBenchmark
% See solution above
% 16.14/3.01 % (3208011)------------------------------
% 16.14/3.01 % (3208011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.14/3.01 % (3208011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.01 % (3208011)CaDiCaL version: 2.1.3
% 16.14/3.01 % (3208011)Termination reason: Refutation
% 16.14/3.01 % (3208011)Time elapsed: 0.779 s
% 16.14/3.01 % (3208011)Peak memory usage: 26 MB
% 16.14/3.01 % (3208011)Instructions burned: 1212 (million)
% 16.14/3.01 % (3207956)Success in time 2.565 s
% 16.14/3.01 % Vampire exiting
%------------------------------------------------------------------------------