%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO636+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 : n006.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 09:54:55 AM UTC 2026
% Result : Theorem 8.14s 1.78s
% Output : Refutation 8.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 22
% Syntax : Number of formulae : 156 ( 57 unt; 0 def)
% Number of atoms : 323 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 282 ( 115 ~; 110 |; 34 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 475 ( 461 !; 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(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(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(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(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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2) )
=> perp(X0,X4,X6,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110999) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6] :
( ( eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2) )
=> perp(X0,X4,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(f103,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f5]) ).
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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5) ),
inference(flattening,[],[f110]) ).
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(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(f128,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6] :
( ~ perp(X0,X4,X6,X5)
& eqangle(X2,X0,X0,X4,X3,X0,X0,X1)
& perp(X5,X3,X0,X1)
& coll(X5,X0,X1)
& perp(X6,X3,X0,X2)
& coll(X6,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( ~ perp(sK20,sK24,sK26,sK25)
& eqangle(sK22,sK20,sK20,sK24,sK23,sK20,sK20,sK21)
& perp(sK25,sK23,sK20,sK21)
& coll(sK25,sK20,sK21)
& perp(sK26,sK23,sK20,sK22)
& coll(sK26,sK20,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(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
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(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
fof(f309,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f148]) ).
fof(f310,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f149]) ).
fof(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f313,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1) ),
inference(cnf_transformation,[],[f154]) ).
fof(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(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(f385,plain,
perp(sK26,sK23,sK20,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK25,sK23,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ perp(sK20,sK24,sK26,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
coll(sK25,sK21,sK20),
inference(resolution,[],[f271,f386]) ).
fof(f395,plain,
coll(sK20,sK25,sK21),
inference(resolution,[],[f272,f386]) ).
fof(f415,plain,
perp(sK25,sK23,sK21,sK20),
inference(resolution,[],[f277,f387]) ).
fof(f418,plain,
perp(sK20,sK22,sK26,sK23),
inference(resolution,[],[f278,f385]) ).
fof(f419,plain,
perp(sK20,sK21,sK25,sK23),
inference(resolution,[],[f278,f387]) ).
fof(f421,plain,
perp(sK21,sK20,sK25,sK23),
inference(resolution,[],[f278,f415]) ).
fof(f425,plain,
perp(sK20,sK21,sK23,sK25),
inference(resolution,[],[f419,f277]) ).
fof(f429,plain,
perp(sK21,sK20,sK23,sK25),
inference(resolution,[],[f421,f277]) ).
fof(f436,plain,
perp(sK23,sK25,sK21,sK20),
inference(resolution,[],[f429,f278]) ).
fof(f452,plain,
! [X0] :
( ~ coll(sK25,sK21,X0)
| coll(X0,sK20,sK25) ),
inference(resolution,[],[f273,f391]) ).
fof(f456,plain,
! [X0] :
( ~ coll(sK20,sK25,X0)
| coll(X0,sK21,sK20) ),
inference(resolution,[],[f273,f395]) ).
fof(f480,plain,
coll(sK20,sK20,sK25),
inference(resolution,[],[f452,f391]) ).
fof(f484,plain,
coll(sK20,sK25,sK20),
inference(resolution,[],[f480,f271]) ).
fof(f505,plain,
coll(sK20,sK21,sK20),
inference(resolution,[],[f456,f484]) ).
fof(f514,plain,
coll(sK20,sK20,sK21),
inference(resolution,[],[f505,f271]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK20)
| para(X0,X1,sK23,sK25) ),
inference(resolution,[],[f279,f429]) ).
fof(f1431,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK20,sK21)
| para(X0,X1,sK23,sK25) ),
inference(resolution,[],[f279,f425]) ).
fof(f1434,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK26,sK23)
| para(X0,X1,sK20,sK22) ),
inference(resolution,[],[f279,f385]) ).
fof(f1435,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK25,sK23)
| para(X0,X1,sK20,sK21) ),
inference(resolution,[],[f279,f387]) ).
fof(f1439,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK25)
| para(X0,X1,sK21,sK20) ),
inference(resolution,[],[f279,f436]) ).
fof(f1443,plain,
para(sK20,sK22,sK20,sK22),
inference(resolution,[],[f1434,f418]) ).
fof(f1447,plain,
! [X0,X1] : eqangle(sK20,sK22,X0,X1,sK20,sK22,X0,X1),
inference(resolution,[],[f1443,f310]) ).
fof(f1471,plain,
para(sK20,sK21,sK20,sK21),
inference(resolution,[],[f1435,f419]) ).
fof(f1475,plain,
! [X0,X1] : eqangle(sK20,sK21,X0,X1,sK20,sK21,X0,X1),
inference(resolution,[],[f1471,f310]) ).
fof(f2307,plain,
! [X0,X1] : eqangle(X0,X1,sK20,sK22,X0,X1,sK20,sK22),
inference(resolution,[],[f289,f1447]) ).
fof(f2309,plain,
! [X0,X1] : eqangle(X0,X1,sK20,sK21,X0,X1,sK20,sK21),
inference(resolution,[],[f289,f1475]) ).
fof(f2505,plain,
! [X0,X1] : eqangle(sK20,sK22,sK20,sK22,X0,X1,X0,X1),
inference(resolution,[],[f291,f1447]) ).
fof(f2610,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f2307,f309]) ).
fof(f2615,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f2610,f337]) ).
fof(f2622,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f2615,f272]) ).
fof(f2842,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f2622,f271]) ).
fof(f3059,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f2842,f273]) ).
fof(f3098,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f3059,f2842]) ).
fof(f4909,plain,
! [X0] :
( cyclic(X0,sK21,sK20,sK20)
| ~ coll(sK20,sK20,sK21) ),
inference(resolution,[],[f313,f2309]) ).
fof(f4913,plain,
! [X0] :
( cyclic(sK22,sK22,sK20,X0)
| ~ coll(sK20,X0,sK22) ),
inference(resolution,[],[f313,f2505]) ).
fof(f4926,plain,
! [X0] : cyclic(sK22,sK22,sK20,X0),
inference(forward_subsumption_resolution,[],[f4913,f3098]) ).
fof(f4930,plain,
! [X0] : cyclic(X0,sK21,sK20,sK20),
inference(forward_subsumption_resolution,[],[f4909,f514]) ).
fof(f4947,plain,
! [X0,X1] :
( ~ cyclic(sK22,sK22,sK20,X0)
| cyclic(sK22,sK20,X0,X1) ),
inference(resolution,[],[f4926,f287]) ).
fof(f4952,plain,
! [X0,X1] : cyclic(sK22,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f4947,f4926]) ).
fof(f5018,plain,
! [X2,X0,X1] :
( ~ cyclic(sK22,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f4952,f287]) ).
fof(f5023,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f5018,f4952]) ).
fof(f5140,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f5023,f287]) ).
fof(f5141,plain,
! [X2,X0,X1] : eqangle(X0,sK20,X0,X1,X2,sK20,X2,X1),
inference(resolution,[],[f5023,f311]) ).
fof(f5145,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f5140,f5023]) ).
fof(f5267,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(resolution,[],[f5145,f311]) ).
fof(f13978,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,sK21,sK20,X1)
| ~ cyclic(X0,sK21,sK20,X2)
| cong(X0,sK21,X1,X2)
| ~ eqangle(sK20,X0,sK20,sK21,sK20,X1,sK20,X2) ),
inference(resolution,[],[f314,f4930]) ).
fof(f14029,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,sK21,sK20,X1)
| cong(X0,sK21,X1,X2)
| ~ eqangle(sK20,X0,sK20,sK21,sK20,X1,sK20,X2) ),
inference(forward_subsumption_resolution,[],[f13978,f5145]) ).
fof(f14093,plain,
! [X2,X0,X1] :
( ~ eqangle(sK20,X0,sK20,sK21,sK20,X1,sK20,X2)
| cong(X0,sK21,X1,X2) ),
inference(forward_subsumption_resolution,[],[f14029,f5145]) ).
fof(f14241,plain,
! [X0] : cong(X0,sK21,X0,sK21),
inference(resolution,[],[f14093,f5267]) ).
fof(f14248,plain,
cong(sK20,sK21,sK20,sK21),
inference(resolution,[],[f14093,f5141]) ).
fof(f14778,plain,
cong(sK20,sK21,sK21,sK20),
inference(resolution,[],[f14248,f293]) ).
fof(f14884,plain,
! [X0] : cong(X0,sK21,sK21,X0),
inference(resolution,[],[f14241,f293]) ).
fof(f14969,plain,
cong(sK21,sK20,sK20,sK21),
inference(resolution,[],[f14778,f294]) ).
fof(f14984,plain,
! [X0] : cong(sK21,X0,X0,sK21),
inference(resolution,[],[f14884,f294]) ).
fof(f15011,plain,
cong(sK21,sK20,sK21,sK20),
inference(resolution,[],[f14969,f293]) ).
fof(f15020,plain,
! [X0] : cong(sK21,X0,sK21,X0),
inference(resolution,[],[f14984,f293]) ).
fof(f15034,plain,
! [X0] :
( ~ cong(sK21,X0,sK21,X0)
| perp(X0,sK21,sK21,sK20)
| ~ cyclic(sK21,sK21,X0,sK20) ),
inference(resolution,[],[f15011,f328]) ).
fof(f15035,plain,
! [X0] :
( ~ cong(sK21,X0,sK21,X0)
| perp(sK21,sK21,X0,sK20) ),
inference(resolution,[],[f15011,f327]) ).
fof(f15045,plain,
! [X0] : perp(sK21,sK21,X0,sK20),
inference(forward_subsumption_resolution,[],[f15035,f15020]) ).
fof(f15046,plain,
! [X0] :
( perp(X0,sK21,sK21,sK20)
| ~ cyclic(sK21,sK21,X0,sK20) ),
inference(forward_subsumption_resolution,[],[f15034,f15020]) ).
fof(f15047,plain,
! [X0] : perp(X0,sK21,sK21,sK20),
inference(forward_subsumption_resolution,[],[f15046,f5145]) ).
fof(f15087,plain,
! [X0,X1] :
( ~ cong(sK21,X0,sK21,X0)
| perp(sK21,sK21,X0,X1) ),
inference(resolution,[],[f15020,f327]) ).
fof(f15097,plain,
! [X0,X1] : perp(sK21,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f15087,f15020]) ).
fof(f15150,plain,
para(sK21,sK21,sK23,sK25),
inference(resolution,[],[f15045,f1429]) ).
fof(f15181,plain,
! [X0] : perp(sK21,sK20,X0,sK21),
inference(resolution,[],[f15047,f278]) ).
fof(f15277,plain,
para(sK23,sK25,sK21,sK21),
inference(resolution,[],[f15150,f275]) ).
fof(f15420,plain,
para(sK21,sK20,sK23,sK25),
inference(resolution,[],[f15181,f1431]) ).
fof(f15654,plain,
! [X0,X1] :
( perp(sK23,sK25,X0,X1)
| ~ perp(sK21,sK21,X0,X1) ),
inference(resolution,[],[f15277,f280]) ).
fof(f15669,plain,
! [X0,X1] : perp(sK23,sK25,X0,X1),
inference(forward_subsumption_resolution,[],[f15654,f15097]) ).
fof(f15828,plain,
! [X0,X1] :
( perp(sK21,sK20,X0,X1)
| ~ perp(sK23,sK25,X0,X1) ),
inference(resolution,[],[f15420,f280]) ).
fof(f15843,plain,
! [X0,X1] : perp(sK21,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f15828,f15669]) ).
fof(f16002,plain,
! [X0,X1] : perp(X0,X1,sK23,sK25),
inference(resolution,[],[f15669,f278]) ).
fof(f16539,plain,
! [X0,X1] : para(X0,X1,sK21,sK20),
inference(resolution,[],[f16002,f1439]) ).
fof(f18125,plain,
! [X2,X3,X0,X1] :
( perp(X0,X1,X2,X3)
| ~ perp(sK21,sK20,X2,X3) ),
inference(resolution,[],[f16539,f280]) ).
fof(f18144,plain,
! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f18125,f15843]) ).
fof(f18899,plain,
$false,
inference(resolution,[],[f18144,f389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO636+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n006.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:41:26 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.75/1.46 % (2691203)Will run a generic schedule for satisfiability detection.
% 6.75/1.46 % (2691213)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=479061348:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 6.75/1.46 % (2691209)% WARNING: option uhcvi not known.
% 6.75/1.46 % (2691208)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1230231257_2999 on theBenchmark for (2999ds/0Mi)
% 6.75/1.46 % (2691209)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4184567043:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 6.75/1.46 % (2691210)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3757029257:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 6.75/1.46 % (2691211)dis+10_1_sil=32000:sp=arity:random_seed=4212498070:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 6.75/1.46 % (2691212)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4020705355:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 6.75/1.46 % (2691214)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2900641359:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 6.75/1.46 % TRYING [1]
% 6.75/1.46 % TRYING [2]
% 6.75/1.46 % (2691213)Instruction limit reached!
% 6.75/1.46 % (2691213)------------------------------
% 6.75/1.46 % (2691213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.46 % (2691213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.46 % (2691213)CaDiCaL version: 2.1.3
% 6.75/1.46 % (2691213)Termination reason: Instruction limit
% 6.75/1.46 % (2691213)Termination phase: Saturation
% 6.75/1.46 % (2691213)Time elapsed: 0.047 s
% 6.75/1.46 % (2691213)Peak memory usage: 14 MB
% 6.75/1.46 % (2691213)Instructions burned: 131 (million)
% 6.75/1.46 % TRYING [3]
% 6.75/1.46 % (2691222)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=375020580:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 6.75/1.46 % TRYING [1]
% 6.75/1.46 % TRYING [2]
% 6.75/1.46 % (2691211)Instruction limit reached!
% 6.75/1.46 % (2691211)------------------------------
% 6.75/1.46 % (2691211)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.46 % (2691211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.46 % (2691211)CaDiCaL version: 2.1.3
% 6.75/1.46 % (2691211)Termination reason: Instruction limit
% 6.75/1.46 % (2691211)Termination phase: Saturation
% 6.75/1.46 % (2691211)Time elapsed: 0.067 s
% 6.75/1.46 % (2691211)Peak memory usage: 12 MB
% 6.75/1.46 % (2691211)Instructions burned: 105 (million)
% 6.75/1.46 % (2691212)Instruction limit reached!
% 6.75/1.46 % (2691212)------------------------------
% 6.75/1.46 % (2691212)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.46 % (2691212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.46 % (2691212)CaDiCaL version: 2.1.3
% 6.75/1.46 % (2691212)Termination reason: Instruction limit
% 6.75/1.46 % (2691212)Termination phase: Saturation
% 6.75/1.46 % (2691212)Time elapsed: 0.069 s
% 6.75/1.46 % (2691212)Peak memory usage: 13 MB
% 6.75/1.46 % (2691212)Instructions burned: 117 (million)
% 6.75/1.46 % TRYING [3]
% 6.75/1.46 % (2691224)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1124322614:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 6.75/1.46 % (2691225)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=955649649:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 6.75/1.46 % (2691214)Instruction limit reached!
% 6.75/1.46 % (2691214)------------------------------
% 6.75/1.46 % (2691214)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.46 % (2691214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.75/1.46 % (2691214)CaDiCaL version: 2.1.3
% 6.75/1.46 % (2691214)Termination reason: Instruction limit
% 6.75/1.46 % (2691214)Termination phase: Saturation
% 6.75/1.46 % (2691214)Time elapsed: 0.092 s
% 6.75/1.46 % (2691214)Peak memory usage: 15 MB
% 6.75/1.46 % (2691214)Instructions burned: 161 (million)
% 6.75/1.46 % (2691228)ott-21_1_sil=16000:fs=off:random_seed=3052767899:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 6.75/1.46 % (2691224)Instruction limit reached!
% 6.75/1.46 % (2691224)------------------------------
% 6.75/1.46 % (2691224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.75/1.46 % (2691224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691224)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691224)Termination reason: Instruction limit
% 8.14/1.78 % (2691224)Termination phase: Saturation
% 8.14/1.78 % (2691224)Time elapsed: 0.086 s
% 8.14/1.78 % (2691224)Peak memory usage: 14 MB
% 8.14/1.78 % (2691224)Instructions burned: 132 (million)
% 8.14/1.78 % (2691222)Instruction limit reached!
% 8.14/1.78 % (2691222)------------------------------
% 8.14/1.78 % (2691222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691222)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691222)Termination reason: Instruction limit
% 8.14/1.78 % (2691222)Termination phase: Finite model building constraint generation
% 8.14/1.78 % (2691222)Time elapsed: 0.137 s
% 8.14/1.78 % (2691222)Peak memory usage: 24 MB
% 8.14/1.78 % (2691222)Instructions burned: 715 (million)
% 8.14/1.78 % (2691230)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1986748997:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 8.14/1.78 % (2691231)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=814308712:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 8.14/1.78 % TRYING [1]
% 8.14/1.78 % TRYING [2]
% 8.14/1.78 % (2691228)Instruction limit reached!
% 8.14/1.78 % (2691228)------------------------------
% 8.14/1.78 % (2691228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691228)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691228)Termination reason: Instruction limit
% 8.14/1.78 % (2691228)Termination phase: Saturation
% 8.14/1.78 % (2691228)Time elapsed: 0.096 s
% 8.14/1.78 % (2691228)Peak memory usage: 13 MB
% 8.14/1.78 % (2691228)Instructions burned: 180 (million)
% 8.14/1.78 % (2691234)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=4043750481:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 8.14/1.78 % TRYING [3]
% 8.14/1.78 % (2691231)Instruction limit reached!
% 8.14/1.78 % (2691231)------------------------------
% 8.14/1.78 % (2691231)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691231)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691231)Termination reason: Instruction limit
% 8.14/1.78 % (2691231)Termination phase: Finite model building constraint generation
% 8.14/1.78 % (2691231)Time elapsed: 0.164 s
% 8.14/1.78 % (2691231)Peak memory usage: 50 MB
% 8.14/1.78 % (2691231)Instructions burned: 867 (million)
% 8.14/1.78 % (2691236)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2765174592:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 8.14/1.78 % (2691236)Cannot represent all propositional literals internally
% 8.14/1.78 % (2691236)Refutation not found, incomplete strategy
% 8.14/1.78 % (2691236)------------------------------
% 8.14/1.78 % (2691236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691236)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691236)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.78 % (2691236)Time elapsed: 0.003 s
% 8.14/1.78 % (2691236)Peak memory usage: 10 MB
% 8.14/1.78 % (2691236)Instructions burned: 12 (million)
% 8.14/1.78 % (2691236)------------------------------
% 8.14/1.78 % (2691236)------------------------------
% 8.14/1.78 % (2691238)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=2712394505: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)
% 8.14/1.78 % (2691230)Instruction limit reached!
% 8.14/1.78 % (2691230)------------------------------
% 8.14/1.78 % (2691230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691230)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691230)Termination reason: Instruction limit
% 8.14/1.78 % (2691230)Termination phase: Saturation
% 8.14/1.78 % (2691230)Time elapsed: 0.272 s
% 8.14/1.78 % (2691230)Peak memory usage: 15 MB
% 8.14/1.78 % (2691230)Instructions burned: 478 (million)
% 8.14/1.78 % (2691240)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1073894681:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 8.14/1.78 % (2691225)Instruction limit reached!
% 8.14/1.78 % (2691225)------------------------------
% 8.14/1.78 % (2691225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691225)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691225)Termination reason: Instruction limit
% 8.14/1.78 % (2691225)Termination phase: Saturation
% 8.14/1.78 % (2691225)Time elapsed: 0.417 s
% 8.14/1.78 % (2691225)Peak memory usage: 20 MB
% 8.14/1.78 % (2691225)Instructions burned: 685 (million)
% 8.14/1.78 % (2691242)fmb+10_1_sil=64000:random_seed=3810682730:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 8.14/1.78 % TRYING [1]
% 8.14/1.78 % TRYING [2]
% 8.14/1.78 % (2691238)Instruction limit reached!
% 8.14/1.78 % (2691238)------------------------------
% 8.14/1.78 % (2691238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691238)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691238)Termination reason: Instruction limit
% 8.14/1.78 % (2691238)Termination phase: Saturation
% 8.14/1.78 % (2691238)Time elapsed: 0.207 s
% 8.14/1.78 % (2691238)Peak memory usage: 19 MB
% 8.14/1.78 % (2691238)Instructions burned: 694 (million)
% 8.14/1.78 % (2691244)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3040972500:i=9515:nm=5_2993 on theBenchmark for (2993ds/9515Mi)
% 8.14/1.78 % (2691244)Cannot represent all propositional literals internally
% 8.14/1.78 % (2691244)Refutation not found, incomplete strategy
% 8.14/1.78 % (2691244)------------------------------
% 8.14/1.78 % (2691244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691244)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691244)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.78 % (2691244)Time elapsed: 0.003 s
% 8.14/1.78 % (2691244)Peak memory usage: 10 MB
% 8.14/1.78 % (2691244)Instructions burned: 12 (million)
% 8.14/1.78 % (2691244)------------------------------
% 8.14/1.78 % (2691244)------------------------------
% 8.14/1.78 % TRYING [3]
% 8.14/1.78 % (2691246)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3759440405:fmbsr=1.7:i=920_2993 on theBenchmark for (2993ds/920Mi)
% 8.14/1.78 % TRYING [8]
% 8.14/1.78 % (2691246)Instruction limit reached!
% 8.14/1.78 % (2691246)------------------------------
% 8.14/1.78 % (2691246)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691246)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691246)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691246)Termination reason: Instruction limit
% 8.14/1.78 % (2691246)Termination phase: Finite model building constraint generation
% 8.14/1.78 % (2691246)Time elapsed: 0.165 s
% 8.14/1.78 % (2691246)Peak memory usage: 47 MB
% 8.14/1.78 % (2691246)Instructions burned: 924 (million)
% 8.14/1.78 % (2691248)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4262389894:i=5131_2991 on theBenchmark for (2991ds/5131Mi)
% 8.14/1.78 % (2691234)Instruction limit reached!
% 8.14/1.78 % (2691234)------------------------------
% 8.14/1.78 % (2691234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691234)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691234)Termination reason: Instruction limit
% 8.14/1.78 % (2691234)Termination phase: Saturation
% 8.14/1.78 % (2691234)Time elapsed: 0.714 s
% 8.14/1.78 % (2691234)Peak memory usage: 23 MB
% 8.14/1.78 % (2691234)Instructions burned: 1180 (million)
% 8.14/1.78 % (2691250)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1324278924:i=1472:ins=7:fdi=8:gsp=on_2990 on theBenchmark for (2990ds/1472Mi)
% 8.14/1.78 % (2691240)Instruction limit reached!
% 8.14/1.78 % (2691240)------------------------------
% 8.14/1.78 % (2691240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691240)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691240)Termination reason: Instruction limit
% 8.14/1.78 % (2691240)Termination phase: Saturation
% 8.14/1.78 % (2691240)Time elapsed: 0.484 s
% 8.14/1.78 % (2691240)Peak memory usage: 18 MB
% 8.14/1.78 % (2691240)Instructions burned: 880 (million)
% 8.14/1.78 % (2691252)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3938308807:i=6324_2989 on theBenchmark for (2989ds/6324Mi)
% 8.14/1.78 % (2691252)Cannot represent all propositional literals internally
% 8.14/1.78 % (2691252)Refutation not found, incomplete strategy
% 8.14/1.78 % (2691252)------------------------------
% 8.14/1.78 % (2691252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691252)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691252)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.78 % (2691252)Time elapsed: 0.008 s
% 8.14/1.78 % (2691252)Peak memory usage: 11 MB
% 8.14/1.78 % (2691252)Instructions burned: 15 (million)
% 8.14/1.78 % (2691252)------------------------------
% 8.14/1.78 % (2691252)------------------------------
% 8.14/1.78 % (2691254)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3812826775:fmbsr=2.30978:i=2174_2989 on theBenchmark for (2989ds/2174Mi)
% 8.14/1.78 % (2691254)Cannot represent all propositional literals internally
% 8.14/1.78 % (2691254)Refutation not found, incomplete strategy
% 8.14/1.78 % (2691254)------------------------------
% 8.14/1.78 % (2691254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.78 % (2691254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.78 % (2691254)CaDiCaL version: 2.1.3
% 8.14/1.78 % (2691254)Termination reason: Refutation not found, incomplete strategy
% 8.14/1.78 % (2691254)Time elapsed: 0.082 s
% 8.14/1.78 % (2691254)Peak memory usage: 12 MB
% 8.14/1.78 % (2691254)Instructions burned: 166 (million)
% 8.14/1.78 % (2691254)------------------------------
% 8.14/1.78 % (2691254)------------------------------
% 8.14/1.78 % (2691256)ott-2_1_sil=16000:newcnf=on:random_seed=2778997391:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2988 on theBenchmark for (2988ds/869Mi)
% 8.14/1.78 % (2691250) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2691203-2691250"...
% 8.14/1.78 % (2691250)...printing done.
% 8.14/1.78 % (2691250)Refutation found. Thanks to Tanya!
% 8.14/1.78 % SZS status Theorem for theBenchmark
% 8.14/1.78 % SZS output start Proof for theBenchmark
% See solution above
% 8.14/1.79 % (2691250)------------------------------
% 8.14/1.79 % (2691250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 8.14/1.79 % (2691250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.14/1.79 % (2691250)CaDiCaL version: 2.1.3
% 8.14/1.79 % (2691250)Termination reason: Refutation
% 8.14/1.79 % (2691250)Time elapsed: 0.323 s
% 8.14/1.79 % (2691250)Peak memory usage: 18 MB
% 8.14/1.79 % (2691250)Instructions burned: 543 (million)
% 8.14/1.79 % (2691203)Success in time 1.355 s
% 8.14/1.79 % Vampire exiting
%------------------------------------------------------------------------------