%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO646+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 : n026.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 1.20s 0.69s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 92 ( 21 unt; 0 def)
% Number of atoms : 238 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 231 ( 85 ~; 81 |; 47 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 387 ( 359 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X2)
& coll(X0,X1,X3) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(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(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(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(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& midp(X4,X2,X3) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X0,X1,X8,X9)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X4,X11)
& coll(X5,X3,X4)
& circle(X0,X1,X5,X12)
& midp(X6,X4,X5)
& coll(X2,X6,X7)
& circle(X0,X2,X7,X13) )
=> para(X4,X5,X1,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0133) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X0,X1,X8,X9)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X4,X11)
& coll(X5,X3,X4)
& circle(X0,X1,X5,X12)
& midp(X6,X4,X5)
& coll(X2,X6,X7)
& circle(X0,X2,X7,X13) )
=> para(X4,X5,X1,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f112,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f11]) ).
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(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(f191,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3) ),
inference(flattening,[],[f191]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ para(X4,X5,X1,X7)
& circle(X0,X1,X8,X9)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X4,X11)
& coll(X5,X3,X4)
& circle(X0,X1,X5,X12)
& midp(X6,X4,X5)
& coll(X2,X6,X7)
& circle(X0,X2,X7,X13) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ~ para(X4,X5,X1,X7)
& circle(X0,X1,X8,X9)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X4,X11)
& coll(X5,X3,X4)
& circle(X0,X1,X5,X12)
& midp(X6,X4,X5)
& coll(X2,X6,X7)
& circle(X0,X2,X7,X13) ),
inference(flattening,[],[f249]) ).
fof(f253,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f254,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
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(f261,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
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(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(f291,plain,
! [X2,X3,X0,X1] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f150]) ).
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,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f314,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X1)
| ~ midp(X4,X2,X3)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f366,plain,
midp(sK26,sK24,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f368,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f250]) ).
fof(f374,plain,
~ para(sK24,sK25,sK21,sK27),
inference(cnf_transformation,[],[f250]) ).
fof(f399,plain,
midp(sK26,sK25,sK24),
inference(resolution,[],[f261,f366]) ).
fof(f508,plain,
! [X0] :
( ~ coll(sK25,sK23,X0)
| coll(X0,sK24,sK25) ),
inference(resolution,[],[f253,f368]) ).
fof(f529,plain,
coll(sK24,sK24,sK25),
inference(resolution,[],[f508,f368]) ).
fof(f709,plain,
! [X0,X1] :
( ~ midp(sK26,X0,X1)
| para(sK24,X0,sK25,X1) ),
inference(resolution,[],[f314,f366]) ).
fof(f3387,plain,
para(sK24,sK25,sK25,sK24),
inference(resolution,[],[f709,f399]) ).
fof(f3395,plain,
para(sK24,sK25,sK24,sK25),
inference(resolution,[],[f3387,f254]) ).
fof(f3414,plain,
! [X0,X1] : eqangle(sK24,sK25,X0,X1,sK24,sK25,X0,X1),
inference(resolution,[],[f3395,f290]) ).
fof(f3478,plain,
! [X0,X1] : eqangle(X0,X1,sK24,sK25,X0,X1,sK24,sK25),
inference(resolution,[],[f3414,f269]) ).
fof(f3565,plain,
! [X0] :
( ~ coll(sK24,sK24,sK25)
| cyclic(X0,sK25,sK24,sK24) ),
inference(resolution,[],[f3478,f293]) ).
fof(f3567,plain,
! [X0] : cyclic(X0,sK25,sK24,sK24),
inference(forward_subsumption_resolution,[],[f3565,f529]) ).
fof(f4430,plain,
! [X0] : cyclic(sK25,X0,sK24,sK24),
inference(resolution,[],[f3567,f266]) ).
fof(f4467,plain,
! [X0] : cyclic(sK25,sK24,X0,sK24),
inference(resolution,[],[f4430,f265]) ).
fof(f4511,plain,
! [X0] : cyclic(sK25,sK24,sK24,X0),
inference(resolution,[],[f4467,f264]) ).
fof(f4559,plain,
! [X0,X1] :
( ~ cyclic(sK25,sK24,sK24,X0)
| cyclic(sK24,sK24,X0,X1) ),
inference(resolution,[],[f4511,f267]) ).
fof(f4571,plain,
! [X0,X1] : cyclic(sK24,sK24,X0,X1),
inference(forward_subsumption_resolution,[],[f4559,f4511]) ).
fof(f4606,plain,
! [X2,X0,X1] :
( ~ cyclic(sK24,sK24,X0,X1)
| cyclic(sK24,X0,X1,X2) ),
inference(resolution,[],[f4571,f267]) ).
fof(f4618,plain,
! [X2,X0,X1] : cyclic(sK24,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f4606,f4571]) ).
fof(f4654,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(sK24,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f4618,f267]) ).
fof(f4666,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f4654,f4618]) ).
fof(f6465,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,f4666]) ).
fof(f6466,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,[],[f6465,f4666]) ).
fof(f6467,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,[],[f6466,f4666]) ).
fof(f6562,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f6467,f291]) ).
fof(f6591,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f6562,f4666]) ).
fof(f6598,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X1,X2) ),
inference(resolution,[],[f6591,f307]) ).
fof(f6669,plain,
! [X2,X0,X1] : perp(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f6598,f6591]) ).
fof(f6811,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f6669,f258]) ).
fof(f6850,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X0,X1,X2)
| para(X3,X4,X1,X2) ),
inference(resolution,[],[f6811,f259]) ).
fof(f6855,plain,
! [X2,X3,X1,X4] : para(X3,X4,X1,X2),
inference(forward_subsumption_resolution,[],[f6850,f6669]) ).
fof(f6915,plain,
$false,
inference(resolution,[],[f6855,f374]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO646+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n026.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 08:45:26 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 1.20/0.69 % (2535807)Will run a generic schedule for satisfiability detection.
% 1.20/0.69 % (2535815)dis+10_1_sil=32000:sp=arity:random_seed=2663629572:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.20/0.69 % (2535813)% WARNING: option uhcvi not known.
% 1.20/0.69 % (2535812)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2469077411_2999 on theBenchmark for (2999ds/0Mi)
% 1.20/0.69 % (2535813)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1990976466:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.20/0.69 % (2535817)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3043565688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.20/0.69 % (2535814)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=82585355:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.20/0.69 % (2535816)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=244565678:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.20/0.69 % (2535818)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=621772944:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.20/0.69 % TRYING [1]
% 1.20/0.69 % TRYING [2]
% 1.20/0.69 % (2535815)Instruction limit reached!
% 1.20/0.69 % (2535815)------------------------------
% 1.20/0.69 % (2535815)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535815)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535815)Termination reason: Instruction limit
% 1.20/0.69 % (2535815)Termination phase: Saturation
% 1.20/0.69 % (2535815)Time elapsed: 0.037 s
% 1.20/0.69 % (2535815)Peak memory usage: 13 MB
% 1.20/0.69 % (2535815)Instructions burned: 103 (million)
% 1.20/0.69 % TRYING [3]
% 1.20/0.69 % (2535826)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2344696485:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.20/0.69 % TRYING [1]
% 1.20/0.69 % TRYING [2]
% 1.20/0.69 % (2535816)Instruction limit reached!
% 1.20/0.69 % (2535816)------------------------------
% 1.20/0.69 % (2535816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535816)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535816)Termination reason: Instruction limit
% 1.20/0.69 % (2535816)Termination phase: Saturation
% 1.20/0.69 % (2535816)Time elapsed: 0.069 s
% 1.20/0.69 % (2535816)Peak memory usage: 13 MB
% 1.20/0.69 % (2535816)Instructions burned: 116 (million)
% 1.20/0.69 % TRYING [3]
% 1.20/0.69 % (2535817)Instruction limit reached!
% 1.20/0.69 % (2535817)------------------------------
% 1.20/0.69 % (2535817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535817)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535817)Termination reason: Instruction limit
% 1.20/0.69 % (2535817)Termination phase: Saturation
% 1.20/0.69 % (2535817)Time elapsed: 0.083 s
% 1.20/0.69 % (2535817)Peak memory usage: 14 MB
% 1.20/0.69 % (2535817)Instructions burned: 132 (million)
% 1.20/0.69 % (2535828)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2345092791:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.20/0.69 % (2535818)Instruction limit reached!
% 1.20/0.69 % (2535818)------------------------------
% 1.20/0.69 % (2535818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535818)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535818)Termination reason: Instruction limit
% 1.20/0.69 % (2535818)Termination phase: Saturation
% 1.20/0.69 % (2535818)Time elapsed: 0.098 s
% 1.20/0.69 % (2535818)Peak memory usage: 15 MB
% 1.20/0.69 % (2535818)Instructions burned: 160 (million)
% 1.20/0.69 % (2535829)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=1238832808:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.20/0.69 % (2535831)ott-21_1_sil=16000:fs=off:random_seed=3624484854:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.20/0.69 % (2535828)Instruction limit reached!
% 1.20/0.69 % (2535828)------------------------------
% 1.20/0.69 % (2535828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535828)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535828)Termination reason: Instruction limit
% 1.20/0.69 % (2535828)Termination phase: Saturation
% 1.20/0.69 % (2535828)Time elapsed: 0.083 s
% 1.20/0.69 % (2535828)Peak memory usage: 15 MB
% 1.20/0.69 % (2535828)Instructions burned: 131 (million)
% 1.20/0.69 % (2535826)Instruction limit reached!
% 1.20/0.69 % (2535826)------------------------------
% 1.20/0.69 % (2535826)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535826)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535826)Termination reason: Instruction limit
% 1.20/0.69 % (2535826)Termination phase: Finite model building constraint generation
% 1.20/0.69 % (2535826)Time elapsed: 0.134 s
% 1.20/0.69 % (2535826)Peak memory usage: 25 MB
% 1.20/0.69 % (2535826)Instructions burned: 719 (million)
% 1.20/0.69 % (2535835)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1971283522:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.20/0.69 % TRYING [1]
% 1.20/0.69 % TRYING [2]
% 1.20/0.69 % (2535834)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=712135794:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.20/0.69 % (2535829) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2535807-2535829"...
% 1.20/0.69 % (2535831)Instruction limit reached!
% 1.20/0.69 % (2535831)------------------------------
% 1.20/0.69 % (2535831)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535831)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535831)Termination reason: Instruction limit
% 1.20/0.69 % (2535831)Termination phase: Saturation
% 1.20/0.69 % (2535831)Time elapsed: 0.097 s
% 1.20/0.69 % (2535831)Peak memory usage: 13 MB
% 1.20/0.69 % (2535831)Instructions burned: 182 (million)
% 1.20/0.69 % (2535829)...printing done.
% 1.20/0.69 % (2535829)Refutation found. Thanks to Tanya!
% 1.20/0.69 % SZS status Theorem for theBenchmark
% 1.20/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 1.20/0.69 % (2535829)------------------------------
% 1.20/0.69 % (2535829)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.20/0.69 % (2535829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.20/0.69 % (2535829)CaDiCaL version: 2.1.3
% 1.20/0.69 % (2535829)Termination reason: Refutation
% 1.20/0.69 % (2535829)Time elapsed: 0.114 s
% 1.20/0.69 % (2535829)Peak memory usage: 14 MB
% 1.20/0.69 % (2535829)Instructions burned: 202 (million)
% 1.20/0.69 % (2535807)Success in time 0.267 s
% 1.20/0.69 % Vampire exiting
%------------------------------------------------------------------------------