%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO657+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 : n018.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 8.26s 1.84s
% Output : Refutation 8.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 28
% Syntax : Number of formulae : 152 ( 16 unt; 2 def)
% Number of atoms : 381 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 401 ( 172 ~; 163 |; 37 &)
% ( 2 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 609 ( 0 sgn 595 !; 14 ?)
% 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(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& para(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/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(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(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(f53,axiom,
! [X0,X1,X2,X3] :
( ( perp(X0,X1,X1,X2)
& midp(X3,X0,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(f58,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X2,X1,X2)
& cong(X0,X3,X1,X3)
& cyclic(X0,X1,X2,X3) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) )
=> para(X1,X3,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02315) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) )
=> para(X1,X3,X6,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X2)
| ~ coll(X0,X1,X3) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ para(X2,X3,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f7]) ).
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(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4) ),
inference(flattening,[],[f120]) ).
fof(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(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(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(f172,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( cong(X0,X3,X1,X3)
| ~ perp(X0,X1,X1,X2)
| ~ midp(X3,X0,X2) ),
inference(flattening,[],[f172]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3) ),
inference(flattening,[],[f180]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( perp(X2,X0,X0,X3)
| ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f182]) ).
fof(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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X1,X3,X6,X5)
& coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ para(X1,X3,X6,X5)
& coll(X4,X0,X2)
& para(X0,X1,X6,X4)
& para(X0,X3,X5,X4)
& coll(X5,X2,X3)
& coll(X6,X1,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ para(sK21,sK23,sK26,sK25)
& coll(sK24,sK20,sK22)
& para(sK20,sK21,sK26,sK24)
& para(sK20,sK23,sK25,sK24)
& coll(sK25,sK22,sK23)
& coll(sK26,sK21,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f121]) ).
fof(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
fof(f289,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f123]) ).
fof(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] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f183]) ).
fof(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(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f386,plain,
para(sK20,sK23,sK25,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK21,sK23,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f430,plain,
para(sK25,sK24,sK20,sK23),
inference(resolution,[],[f275,f386]) ).
fof(f435,plain,
para(sK25,sK24,sK23,sK20),
inference(resolution,[],[f430,f274]) ).
fof(f442,plain,
para(sK23,sK20,sK25,sK24),
inference(resolution,[],[f435,f275]) ).
fof(f1605,plain,
! [X0,X1] :
( ~ para(X0,X1,sK25,sK24)
| para(X0,X1,sK20,sK23) ),
inference(resolution,[],[f276,f430]) ).
fof(f2672,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f288,f310]) ).
fof(f2785,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(f3011,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(f3919,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f1605,f386]) ).
fof(f3920,plain,
para(sK23,sK20,sK20,sK23),
inference(resolution,[],[f1605,f442]) ).
fof(f3928,plain,
para(sK20,sK23,sK23,sK20),
inference(resolution,[],[f3919,f274]) ).
fof(f3933,plain,
para(sK23,sK20,sK23,sK20),
inference(resolution,[],[f3920,f274]) ).
fof(f4004,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X1,X0,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f2672,f291]) ).
fof(f4043,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f2785,f309]) ).
fof(f4052,definition,
( spl27_1
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl27_1])],[avatar_definition]) ).
fof(f4053,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl27_1 ),
inference(avatar_component_clause,[],[f4052]) ).
fof(f4055,definition,
( spl27_2
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f4056,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f4055]) ).
fof(f4057,plain,
( spl27_1
| spl27_2 ),
inference(avatar_split_clause,[],[f4043,f4055,f4052]) ).
fof(f4058,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl27_1 ),
inference(resolution,[],[f4053,f337]) ).
fof(f4080,plain,
( ! [X0,X1] : coll(X0,X1,X0)
| ~ spl27_1 ),
inference(resolution,[],[f4058,f272]) ).
fof(f4427,plain,
( ! [X0,X1] : coll(X0,X0,X1)
| ~ spl27_1 ),
inference(resolution,[],[f4080,f271]) ).
fof(f4771,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) )
| ~ spl27_1 ),
inference(resolution,[],[f4427,f273]) ).
fof(f4823,plain,
( ! [X2,X0,X1] : coll(X1,X2,X0)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f4771,f4427]) ).
fof(f7777,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X1)
| cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) ),
inference(resolution,[],[f3011,f313]) ).
fof(f7780,plain,
( ! [X2,X0,X1] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f7777,f4053]) ).
fof(f7781,plain,
( ! [X2,X0,X1] : cyclic(X1,X1,X0,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f7780,f4823]) ).
fof(f7782,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f7781,f287]) ).
fof(f7785,plain,
( ! [X2,X0,X1] : cyclic(X0,X1,X0,X2)
| ~ spl27_1 ),
inference(resolution,[],[f7781,f285]) ).
fof(f7787,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f7782,f7781]) ).
fof(f7789,plain,
( ! [X2,X0,X1] : eqangle(X0,X0,X0,X1,X2,X0,X2,X1)
| ~ spl27_1 ),
inference(resolution,[],[f7785,f311]) ).
fof(f8116,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X4,X5,X4,X5,X1,X0,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[],[f4004,f290]) ).
fof(f9142,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X0,X1,X2,X3,sK23,sK20,sK23,sK20)
| para(X0,X1,X2,X3) ),
inference(resolution,[],[f344,f3933]) ).
fof(f11999,plain,
! [X0,X1] :
( para(X0,X1,X0,X1)
| ~ para(sK20,sK23,sK23,sK20) ),
inference(resolution,[],[f9142,f8116]) ).
fof(f14207,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
| ~ spl27_1 ),
inference(resolution,[],[f314,f7787]) ).
fof(f14208,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14207,f7787]) ).
fof(f14211,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14208,f7787]) ).
fof(f14377,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl27_1 ),
inference(resolution,[],[f14211,f7789]) ).
fof(f14401,plain,
( ! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X1,X0,X0,X2)
| ~ cyclic(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f14377,f328]) ).
fof(f14437,plain,
( ! [X0,X1] :
( midp(X0,X1,X1)
| ~ coll(X0,X1,X1) )
| ~ spl27_1 ),
inference(resolution,[],[f14377,f338]) ).
fof(f14479,plain,
( ! [X0,X1] : midp(X0,X1,X1)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14437,f4823]) ).
fof(f14480,plain,
( ! [X2,X0,X1] :
( perp(X1,X0,X0,X2)
| ~ cyclic(X0,X0,X1,X2) )
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14401,f14377]) ).
fof(f14491,plain,
( ! [X2,X0,X1] : perp(X1,X0,X0,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14480,f7787]) ).
fof(f14496,plain,
( ! [X2,X0,X1] :
( ~ perp(X0,X1,X1,X0)
| cong(X0,X2,X1,X2) )
| ~ spl27_1 ),
inference(resolution,[],[f14479,f323]) ).
fof(f14593,plain,
( ! [X2,X0,X1] : cong(X0,X2,X1,X2)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14496,f14491]) ).
fof(f14825,plain,
( ! [X2,X0,X1] : perp(X0,X1,X2,X1)
| ~ spl27_1 ),
inference(resolution,[],[f14491,f277]) ).
fof(f14875,plain,
( ! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X1,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f14593,f327]) ).
fof(f14954,plain,
( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14875,f14593]) ).
fof(f14982,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X3) )
| ~ spl27_1 ),
inference(resolution,[],[f14825,f279]) ).
fof(f15004,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X4,X3)
| ~ spl27_1 ),
inference(forward_subsumption_resolution,[],[f14982,f14954]) ).
fof(f15847,plain,
( $false
| ~ spl27_1 ),
inference(resolution,[],[f15004,f389]) ).
fof(f15896,plain,
~ spl27_1,
inference(avatar_contradiction_clause,[],[f15847]) ).
fof(f16318,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f11999,f3928]) ).
fof(f16751,plain,
( $false
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f16318,f4056]) ).
fof(f16752,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f16751]) ).
cnf(s1,plain,
( spl27_1
| spl27_2 ),
inference(sat_conversion,[],[f4057]) ).
cnf(s2,plain,
~ spl27_1,
inference(sat_conversion,[],[f15896]) ).
cnf(s394,plain,
~ spl27_2,
inference(sat_conversion,[],[f16752]) ).
cnf(s395,plain,
$false,
inference(rat,[],[s1,s394,s2]) ).
fof(f16761,plain,
$false,
inference(avatar_sat_refutation,[],[s395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO657+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 % Computer : n018.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.40 % DateTime : Sun Sep 27 08:46:53 UTC 2026
% 0.11/0.40 % CPUTime :
% 0.11/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.43 Running first-order model finding
% 0.11/0.43 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
% 7.62/1.78 % (2036084)Will run a generic schedule for satisfiability detection.
% 7.62/1.78 % (2036089)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3990376147_2999 on theBenchmark for (2999ds/0Mi)
% 7.62/1.78 % (2036090)% WARNING: option uhcvi not known.
% 7.62/1.78 % TRYING [1]
% 7.62/1.78 % TRYING [2]
% 7.62/1.78 % (2036092)dis+10_1_sil=32000:sp=arity:random_seed=517870426:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.62/1.78 % (2036090)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1818504507:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.62/1.78 % (2036091)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1261218473:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.62/1.78 % (2036093)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2736936705:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.62/1.78 % (2036094)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1474601381:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.62/1.78 % (2036095)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=958153093:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.62/1.78 % TRYING [3]
% 7.62/1.78 % (2036092)Instruction limit reached!
% 7.62/1.78 % (2036092)------------------------------
% 7.62/1.78 % (2036092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (2036092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (2036092)CaDiCaL version: 2.1.3
% 7.62/1.78 % (2036092)Termination reason: Instruction limit
% 7.62/1.78 % (2036092)Termination phase: Saturation
% 7.62/1.78 % (2036092)Time elapsed: 0.067 s
% 7.62/1.78 % (2036092)Peak memory usage: 12 MB
% 7.62/1.78 % (2036092)Instructions burned: 103 (million)
% 7.62/1.78 % (2036093)Instruction limit reached!
% 7.62/1.78 % (2036093)------------------------------
% 7.62/1.78 % (2036093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (2036093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (2036093)CaDiCaL version: 2.1.3
% 7.62/1.78 % (2036093)Termination reason: Instruction limit
% 7.62/1.78 % (2036093)Termination phase: Saturation
% 7.62/1.78 % (2036093)Time elapsed: 0.070 s
% 7.62/1.78 % (2036093)Peak memory usage: 13 MB
% 7.62/1.78 % (2036093)Instructions burned: 116 (million)
% 7.62/1.78 % (2036094)Instruction limit reached!
% 7.62/1.78 % (2036094)------------------------------
% 7.62/1.78 % (2036094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (2036094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (2036094)CaDiCaL version: 2.1.3
% 7.62/1.78 % (2036094)Termination reason: Instruction limit
% 7.62/1.78 % (2036094)Termination phase: Saturation
% 7.62/1.78 % (2036094)Time elapsed: 0.086 s
% 7.62/1.78 % (2036094)Peak memory usage: 14 MB
% 7.62/1.78 % (2036094)Instructions burned: 131 (million)
% 7.62/1.78 % (2036103)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3812364501:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.62/1.78 % (2036104)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1830018262:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.62/1.78 % (2036095)Instruction limit reached!
% 7.62/1.78 % (2036095)------------------------------
% 7.62/1.78 % (2036095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (2036095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.62/1.78 % (2036095)CaDiCaL version: 2.1.3
% 7.62/1.78 % (2036095)Termination reason: Instruction limit
% 7.62/1.78 % (2036095)Termination phase: Saturation
% 7.62/1.78 % (2036095)Time elapsed: 0.096 s
% 7.62/1.78 % (2036095)Peak memory usage: 14 MB
% 7.62/1.78 % (2036095)Instructions burned: 159 (million)
% 7.62/1.78 % TRYING [1]
% 7.62/1.78 % TRYING [2]
% 7.62/1.78 % (2036105)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=2225024636:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.62/1.78 % (2036108)ott-21_1_sil=16000:fs=off:random_seed=672981696:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.62/1.78 % TRYING [3]
% 7.62/1.78 % (2036104)Instruction limit reached!
% 7.62/1.78 % (2036104)------------------------------
% 7.62/1.78 % (2036104)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.62/1.78 % (2036104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036104)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036104)Termination reason: Instruction limit
% 8.26/1.84 % (2036104)Termination phase: Saturation
% 8.26/1.84 % (2036104)Time elapsed: 0.085 s
% 8.26/1.84 % (2036104)Peak memory usage: 14 MB
% 8.26/1.84 % (2036104)Instructions burned: 133 (million)
% 8.26/1.84 % (2036111)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=659866046:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.26/1.84 % (2036108)Instruction limit reached!
% 8.26/1.84 % (2036108)------------------------------
% 8.26/1.84 % (2036108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036108)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036108)Termination reason: Instruction limit
% 8.26/1.84 % (2036108)Termination phase: Saturation
% 8.26/1.84 % (2036108)Time elapsed: 0.096 s
% 8.26/1.84 % (2036108)Peak memory usage: 13 MB
% 8.26/1.84 % (2036108)Instructions burned: 181 (million)
% 8.26/1.84 % (2036113)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2241420737:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % (2036103)Instruction limit reached!
% 8.26/1.84 % (2036103)------------------------------
% 8.26/1.84 % (2036103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036103)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036103)Termination reason: Instruction limit
% 8.26/1.84 % (2036103)Termination phase: Finite model building constraint generation
% 8.26/1.84 % (2036103)Time elapsed: 0.250 s
% 8.26/1.84 % (2036103)Peak memory usage: 24 MB
% 8.26/1.84 % (2036103)Instructions burned: 715 (million)
% 8.26/1.84 % (2036115)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3410858038:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 8.26/1.84 % (2036111)Instruction limit reached!
% 8.26/1.84 % (2036111)------------------------------
% 8.26/1.84 % (2036111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036111)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036111)Termination reason: Instruction limit
% 8.26/1.84 % (2036111)Termination phase: Saturation
% 8.26/1.84 % (2036111)Time elapsed: 0.290 s
% 8.26/1.84 % (2036111)Peak memory usage: 14 MB
% 8.26/1.84 % (2036111)Instructions burned: 477 (million)
% 8.26/1.84 % (2036117)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=510421814:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 8.26/1.84 % (2036117)Cannot represent all propositional literals internally
% 8.26/1.84 % (2036117)Refutation not found, incomplete strategy
% 8.26/1.84 % (2036117)------------------------------
% 8.26/1.84 % (2036117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036117)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036117)Termination reason: Refutation not found, incomplete strategy
% 8.26/1.84 % (2036117)Time elapsed: 0.006 s
% 8.26/1.84 % (2036117)Peak memory usage: 10 MB
% 8.26/1.84 % (2036117)Instructions burned: 12 (million)
% 8.26/1.84 % (2036117)------------------------------
% 8.26/1.84 % (2036117)------------------------------
% 8.26/1.84 % (2036105)Instruction limit reached!
% 8.26/1.84 % (2036105)------------------------------
% 8.26/1.84 % (2036105)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036105)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036105)Termination reason: Instruction limit
% 8.26/1.84 % (2036105)Termination phase: Saturation
% 8.26/1.84 % (2036105)Time elapsed: 0.414 s
% 8.26/1.84 % (2036105)Peak memory usage: 21 MB
% 8.26/1.84 % (2036105)Instructions burned: 685 (million)
% 8.26/1.84 % (2036119)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=1932625706:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 8.26/1.84 % (2036113)Instruction limit reached!
% 8.26/1.84 % (2036113)------------------------------
% 8.26/1.84 % (2036113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036120)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2404548512:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.26/1.84 % (2036113)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036113)Termination reason: Instruction limit
% 8.26/1.84 % (2036113)Termination phase: Finite model building constraint generation
% 8.26/1.84 % (2036113)Time elapsed: 0.307 s
% 8.26/1.84 % (2036113)Peak memory usage: 50 MB
% 8.26/1.84 % (2036113)Instructions burned: 865 (million)
% 8.26/1.84 % (2036123)fmb+10_1_sil=64000:random_seed=2005209618:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.26/1.84 % TRYING [1]
% 8.26/1.84 % TRYING [2]
% 8.26/1.84 % TRYING [3]
% 8.26/1.84 % (2036119)Instruction limit reached!
% 8.26/1.84 % (2036119)------------------------------
% 8.26/1.84 % (2036119)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036119)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036119)Termination reason: Instruction limit
% 8.26/1.84 % (2036119)Termination phase: Saturation
% 8.26/1.84 % (2036119)Time elapsed: 0.391 s
% 8.26/1.84 % (2036119)Peak memory usage: 19 MB
% 8.26/1.84 % (2036119)Instructions burned: 692 (million)
% 8.26/1.84 % (2036125)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=72586353:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 8.26/1.84 % (2036125)Cannot represent all propositional literals internally
% 8.26/1.84 % (2036125)Refutation not found, incomplete strategy
% 8.26/1.84 % (2036125)------------------------------
% 8.26/1.84 % (2036125)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036125)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036125)Termination reason: Refutation not found, incomplete strategy
% 8.26/1.84 % (2036125)Time elapsed: 0.006 s
% 8.26/1.84 % (2036125)Peak memory usage: 10 MB
% 8.26/1.84 % (2036125)Instructions burned: 12 (million)
% 8.26/1.84 % (2036125)------------------------------
% 8.26/1.84 % (2036125)------------------------------
% 8.26/1.84 % (2036127)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3837874263:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 8.26/1.84 % TRYING [8]
% 8.26/1.84 % (2036120)Instruction limit reached!
% 8.26/1.84 % (2036120)------------------------------
% 8.26/1.84 % (2036120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036120)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036120)Termination reason: Instruction limit
% 8.26/1.84 % (2036120)Termination phase: Saturation
% 8.26/1.84 % (2036120)Time elapsed: 0.486 s
% 8.26/1.84 % (2036120)Peak memory usage: 18 MB
% 8.26/1.84 % (2036120)Instructions burned: 880 (million)
% 8.26/1.84 % (2036129)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=158561291:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 8.26/1.84 % (2036115)Instruction limit reached!
% 8.26/1.84 % (2036115)------------------------------
% 8.26/1.84 % (2036115)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036115)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036115)Termination reason: Instruction limit
% 8.26/1.84 % (2036115)Termination phase: Saturation
% 8.26/1.84 % (2036115)Time elapsed: 0.736 s
% 8.26/1.84 % (2036115)Peak memory usage: 23 MB
% 8.26/1.84 % (2036115)Instructions burned: 1180 (million)
% 8.26/1.84 % (2036131)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3684087853:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 8.26/1.84 % (2036127)Instruction limit reached!
% 8.26/1.84 % (2036127)------------------------------
% 8.26/1.84 % (2036127)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036127)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036127)Termination reason: Instruction limit
% 8.26/1.84 % (2036127)Termination phase: Finite model building constraint generation
% 8.26/1.84 % (2036127)Time elapsed: 0.284 s
% 8.26/1.84 % (2036127)Peak memory usage: 45 MB
% 8.26/1.84 % (2036127)Instructions burned: 920 (million)
% 8.26/1.84 % (2036133)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=2091311909:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 8.26/1.84 % (2036133)Cannot represent all propositional literals internally
% 8.26/1.84 % (2036133)Refutation not found, incomplete strategy
% 8.26/1.84 % (2036133)------------------------------
% 8.26/1.84 % (2036133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036133)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036133)Termination reason: Refutation not found, incomplete strategy
% 8.26/1.84 % (2036133)Time elapsed: 0.008 s
% 8.26/1.84 % (2036133)Peak memory usage: 11 MB
% 8.26/1.84 % (2036133)Instructions burned: 15 (million)
% 8.26/1.84 % (2036133)------------------------------
% 8.26/1.84 % (2036133)------------------------------
% 8.26/1.84 % (2036135)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=4147592946:fmbsr=2.30978:i=2174_2986 on theBenchmark for (2986ds/2174Mi)
% 8.26/1.84 % (2036131) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2036084-2036131"...
% 8.26/1.84 % (2036131)...printing done.
% 8.26/1.84 % (2036131)Refutation found. Thanks to Tanya!
% 8.26/1.84 % SZS status Theorem for theBenchmark
% 8.26/1.84 % SZS output start Proof for theBenchmark
% See solution above
% 8.26/1.84 % (2036131)------------------------------
% 8.26/1.84 % (2036131)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.26/1.84 % (2036131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.26/1.84 % (2036131)CaDiCaL version: 2.1.3
% 8.26/1.84 % (2036131)Termination reason: Refutation
% 8.26/1.84 % (2036131)Time elapsed: 0.211 s
% 8.26/1.84 % (2036131)Peak memory usage: 15 MB
% 8.26/1.84 % (2036131)Instructions burned: 399 (million)
% 8.26/1.84 % (2036084)Success in time 1.398 s
% 8.26/1.84 % Vampire exiting
%------------------------------------------------------------------------------