%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO645+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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:57 AM UTC 2026
% Result : Theorem 1.57s 0.70s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 100 ( 27 unt; 0 def)
% Number of atoms : 228 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 207 ( 79 ~; 75 |; 33 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 380 ( 362 !; 18 ?)
% 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(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X0,X1,X2,X3)
& perp(X2,X3,X4,X5) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(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(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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X2,X2,X1)
& perp(X0,X3,X3,X1)
& circle(X0,X2,X3,X6)
& coll(X4,X1,X2)
& circle(X0,X1,X4,X7)
& coll(X5,X1,X3)
& circle(X0,X1,X5,X8) )
=> para(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0091) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( perp(X0,X2,X2,X1)
& perp(X0,X3,X3,X1)
& circle(X0,X2,X3,X6)
& coll(X4,X1,X2)
& circle(X0,X1,X4,X7)
& coll(X5,X1,X3)
& circle(X0,X1,X5,X8) )
=> para(X2,X3,X4,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(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(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(f117,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(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(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(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,X7,X8] :
( ~ para(X2,X3,X4,X5)
& perp(X0,X2,X2,X1)
& perp(X0,X3,X3,X1)
& circle(X0,X2,X3,X6)
& coll(X4,X1,X2)
& circle(X0,X1,X4,X7)
& coll(X5,X1,X3)
& circle(X0,X1,X5,X8) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ para(X2,X3,X4,X5)
& perp(X0,X2,X2,X1)
& perp(X0,X3,X3,X1)
& circle(X0,X2,X3,X6)
& coll(X4,X1,X2)
& circle(X0,X1,X4,X7)
& coll(X5,X1,X3)
& circle(X0,X1,X5,X8) ),
inference(flattening,[],[f249]) ).
fof(f251,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f255,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f257,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f258,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f259,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,X5)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f264,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f266,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
fof(f267,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(f269,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(f289,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(f290,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(f293,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ coll(X2,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f294,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X3,X4) ),
inference(cnf_transformation,[],[f156]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X2,X1,X2)
| ~ cong(X0,X3,X1,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f369,plain,
perp(sK20,sK23,sK23,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f371,plain,
~ para(sK22,sK23,sK24,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f416,plain,
perp(sK23,sK21,sK20,sK23),
inference(resolution,[],[f258,f369]) ).
fof(f421,plain,
perp(sK23,sK21,sK23,sK20),
inference(resolution,[],[f416,f257]) ).
fof(f2246,plain,
! [X0,X1] :
( ~ perp(sK23,sK21,X0,X1)
| para(sK20,sK23,X0,X1) ),
inference(resolution,[],[f259,f369]) ).
fof(f2395,plain,
para(sK20,sK23,sK20,sK23),
inference(resolution,[],[f2246,f416]) ).
fof(f2396,plain,
para(sK20,sK23,sK23,sK20),
inference(resolution,[],[f2246,f421]) ).
fof(f2403,plain,
! [X0,X1] : eqangle(sK20,sK23,X0,X1,sK20,sK23,X0,X1),
inference(resolution,[],[f2395,f290]) ).
fof(f3063,plain,
para(sK23,sK20,sK20,sK23),
inference(resolution,[],[f2396,f255]) ).
fof(f3069,plain,
para(sK23,sK20,sK23,sK20),
inference(resolution,[],[f3063,f254]) ).
fof(f3070,plain,
coll(sK23,sK20,sK20),
inference(resolution,[],[f3069,f317]) ).
fof(f3077,plain,
coll(sK20,sK23,sK20),
inference(resolution,[],[f3070,f252]) ).
fof(f3081,plain,
coll(sK20,sK20,sK23),
inference(resolution,[],[f3077,f251]) ).
fof(f3742,plain,
! [X0,X1] : eqangle(X0,X1,sK20,sK23,X0,X1,sK20,sK23),
inference(resolution,[],[f2403,f269]) ).
fof(f3760,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f3742,f289]) ).
fof(f3766,plain,
! [X0] :
( ~ coll(sK20,sK20,sK23)
| cyclic(X0,sK23,sK20,sK20) ),
inference(resolution,[],[f3742,f293]) ).
fof(f3768,plain,
! [X0] : cyclic(X0,sK23,sK20,sK20),
inference(forward_subsumption_resolution,[],[f3766,f3081]) ).
fof(f3773,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
inference(resolution,[],[f3760,f290]) ).
fof(f4522,plain,
! [X0] : cyclic(sK23,X0,sK20,sK20),
inference(resolution,[],[f3768,f266]) ).
fof(f4543,plain,
! [X0] : cyclic(sK23,sK20,X0,sK20),
inference(resolution,[],[f4522,f265]) ).
fof(f4566,plain,
! [X0] : cyclic(sK23,sK20,sK20,X0),
inference(resolution,[],[f4543,f264]) ).
fof(f4593,plain,
! [X0,X1] :
( ~ cyclic(sK23,sK20,sK20,X0)
| cyclic(sK20,sK20,X0,X1) ),
inference(resolution,[],[f4566,f267]) ).
fof(f4598,plain,
! [X0,X1] : cyclic(sK20,sK20,X0,X1),
inference(forward_subsumption_resolution,[],[f4593,f4566]) ).
fof(f4619,plain,
! [X2,X0,X1] :
( ~ cyclic(sK20,sK20,X0,X1)
| cyclic(sK20,X0,X1,X2) ),
inference(resolution,[],[f4598,f267]) ).
fof(f4624,plain,
! [X2,X0,X1] : cyclic(sK20,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f4619,f4598]) ).
fof(f4646,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK20,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f4624,f267]) ).
fof(f4651,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f4646,f4624]) ).
fof(f7083,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f294,f4651]) ).
fof(f7084,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f7083,f4651]) ).
fof(f7085,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) ),
inference(forward_subsumption_resolution,[],[f7084,f4651]) ).
fof(f7203,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[],[f7085,f3773]) ).
fof(f7229,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X2,X1) ),
inference(resolution,[],[f7203,f307]) ).
fof(f7257,plain,
! [X2,X0,X1] : perp(X0,X0,X2,X1),
inference(forward_subsumption_resolution,[],[f7229,f7203]) ).
fof(f7498,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f7257,f258]) ).
fof(f7588,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X0,X1,X2)
| para(X3,X4,X1,X2) ),
inference(resolution,[],[f7498,f259]) ).
fof(f7602,plain,
! [X2,X3,X1,X4] : para(X3,X4,X1,X2),
inference(forward_subsumption_resolution,[],[f7588,f7257]) ).
fof(f7692,plain,
$false,
inference(resolution,[],[f7602,f371]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO645+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n009.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 08:43:00 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 1.57/0.70 % (1724112)Will run a generic schedule for satisfiability detection.
% 1.57/0.70 % (1724117)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3754509825_2999 on theBenchmark for (2999ds/0Mi)
% 1.57/0.70 % TRYING [1]
% 1.57/0.70 % TRYING [2]
% 1.57/0.70 % (1724120)dis+10_1_sil=32000:sp=arity:random_seed=2188252387:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.57/0.70 % (1724119)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2720249885:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.57/0.70 % (1724121)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2150406318:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.57/0.70 % (1724122)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1496977189:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.57/0.70 % (1724123)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3332292679:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.57/0.70 % (1724118)% WARNING: option uhcvi not known.
% 1.57/0.70 % (1724118)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=895408875:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.57/0.70 % TRYING [3]
% 1.57/0.70 % (1724120)Instruction limit reached!
% 1.57/0.70 % (1724120)------------------------------
% 1.57/0.70 % (1724120)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724120)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724120)Termination reason: Instruction limit
% 1.57/0.70 % (1724120)Termination phase: Saturation
% 1.57/0.70 % (1724120)Time elapsed: 0.069 s
% 1.57/0.70 % (1724120)Peak memory usage: 13 MB
% 1.57/0.70 % (1724120)Instructions burned: 104 (million)
% 1.57/0.70 % (1724121)Instruction limit reached!
% 1.57/0.70 % (1724121)------------------------------
% 1.57/0.70 % (1724121)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724121)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724121)Termination reason: Instruction limit
% 1.57/0.70 % (1724121)Termination phase: Saturation
% 1.57/0.70 % (1724121)Time elapsed: 0.071 s
% 1.57/0.70 % (1724121)Peak memory usage: 13 MB
% 1.57/0.70 % (1724121)Instructions burned: 117 (million)
% 1.57/0.70 % (1724122)Instruction limit reached!
% 1.57/0.70 % (1724122)------------------------------
% 1.57/0.70 % (1724122)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724122)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724122)Termination reason: Instruction limit
% 1.57/0.70 % (1724122)Termination phase: Saturation
% 1.57/0.70 % (1724122)Time elapsed: 0.086 s
% 1.57/0.70 % (1724122)Peak memory usage: 14 MB
% 1.57/0.70 % (1724122)Instructions burned: 132 (million)
% 1.57/0.70 % (1724131)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3124531012:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.57/0.70 % (1724132)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3697667564:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.57/0.70 % (1724123)Instruction limit reached!
% 1.57/0.70 % (1724123)------------------------------
% 1.57/0.70 % (1724123)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724123)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724123)Termination reason: Instruction limit
% 1.57/0.70 % (1724123)Termination phase: Saturation
% 1.57/0.70 % (1724123)Time elapsed: 0.094 s
% 1.57/0.70 % (1724123)Peak memory usage: 15 MB
% 1.57/0.70 % (1724123)Instructions burned: 160 (million)
% 1.57/0.70 % TRYING [1]
% 1.57/0.70 % TRYING [2]
% 1.57/0.70 % (1724133)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=1226746339:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.57/0.70 % (1724136)ott-21_1_sil=16000:fs=off:random_seed=1758363432:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.57/0.70 % TRYING [3]
% 1.57/0.70 % (1724132)Instruction limit reached!
% 1.57/0.70 % (1724132)------------------------------
% 1.57/0.70 % (1724132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724132)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724132)Termination reason: Instruction limit
% 1.57/0.70 % (1724132)Termination phase: Saturation
% 1.57/0.70 % (1724132)Time elapsed: 0.084 s
% 1.57/0.70 % (1724132)Peak memory usage: 14 MB
% 1.57/0.70 % (1724132)Instructions burned: 131 (million)
% 1.57/0.70 % (1724139)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=481170684:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.57/0.70 % (1724136)Instruction limit reached!
% 1.57/0.70 % (1724136)------------------------------
% 1.57/0.70 % (1724136)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.57/0.70 % (1724136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.57/0.70 % (1724136)CaDiCaL version: 2.1.3
% 1.57/0.70 % (1724136)Termination reason: Instruction limit
% 1.57/0.70 % (1724136)Termination phase: Saturation
% 1.57/0.70 % (1724136)Time elapsed: 0.095 s
% 1.57/0.70 % (1724136)Peak memory usage: 13 MB
% 1.57/0.70 % (1724136)Instructions burned: 180 (million)
% 1.57/0.70 % (1724141)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=124666574:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.57/0.70 % TRYING [1]
% 1.57/0.70 % TRYING [2]
% 1.57/0.70 % (1724133) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1724112-1724133"...
% 1.57/0.70 % (1724133)...printing done.
% 1.57/0.70 % (1724133)Refutation found. Thanks to Tanya!
% 1.57/0.70 % SZS status Theorem for theBenchmark
% 1.57/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.70 % (1724133)------------------------------
% 2.12/0.70 % (1724133)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.12/0.70 % (1724133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.70 % (1724133)CaDiCaL version: 2.1.3
% 2.12/0.70 % (1724133)Termination reason: Refutation
% 2.12/0.70 % (1724133)Time elapsed: 0.144 s
% 2.12/0.70 % (1724133)Peak memory usage: 14 MB
% 2.12/0.70 % (1724133)Instructions burned: 238 (million)
% 2.12/0.70 % (1724112)Success in time 0.292 s
% 2.12/0.70 % Vampire exiting
%------------------------------------------------------------------------------