%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO607+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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:54:51 AM UTC 2026
% Result : Theorem 1.04s 0.63s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 24
% Syntax : Number of formulae : 129 ( 28 unt; 0 def)
% Number of atoms : 294 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 283 ( 118 ~; 114 |; 26 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 526 ( 514 !; 12 ?)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/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/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(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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(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(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) )
=> perp(X4,X3,X3,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618069) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) )
=> perp(X4,X3,X3,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(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(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(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(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(f157,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2) ),
inference(flattening,[],[f157]) ).
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(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(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X4,X3,X3,X5)
& midp(X2,X1,X0)
& perp(X3,X0,X3,X1)
& circle(X4,X0,X2,X3)
& circle(X5,X1,X3,X2) ),
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(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(f255,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f256,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(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(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
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(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(f268,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(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] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
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(f295,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X3,X0,X1)
| ~ midp(X4,X0,X2)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
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(f317,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f318,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X2)
| ~ coll(X0,X1,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f366,plain,
perp(sK23,sK20,sK23,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f367,plain,
midp(sK22,sK21,sK20),
inference(cnf_transformation,[],[f250]) ).
fof(f368,plain,
~ perp(sK24,sK23,sK23,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f389,plain,
perp(sK23,sK21,sK23,sK20),
inference(resolution,[],[f258,f366]) ).
fof(f455,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK23,sK20)
| para(X0,X1,sK23,sK21) ),
inference(resolution,[],[f259,f366]) ).
fof(f540,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X1,X0,X4,X5)
| eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(resolution,[],[f268,f290]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[],[f269,f290]) ).
fof(f595,plain,
para(sK23,sK21,sK23,sK21),
inference(resolution,[],[f455,f389]) ).
fof(f597,plain,
! [X0,X1] :
( ~ midp(X0,sK21,X1)
| para(sK22,X0,sK20,X1) ),
inference(resolution,[],[f295,f367]) ).
fof(f600,plain,
! [X0,X1] : eqangle(X0,X1,sK23,sK21,X0,X1,sK23,sK21),
inference(resolution,[],[f595,f589]) ).
fof(f929,plain,
! [X2,X0,X1] :
( ~ para(X0,X2,X0,X2)
| cyclic(X2,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f293,f290]) ).
fof(f1072,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f600,f289]) ).
fof(f1082,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f1072,f317]) ).
fof(f1085,plain,
! [X0,X1] : para(X0,X1,X1,X0),
inference(resolution,[],[f1072,f254]) ).
fof(f1097,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f1082,f252]) ).
fof(f1149,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f1097,f251]) ).
fof(f1198,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f1149,f253]) ).
fof(f1213,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f1198,f1149]) ).
fof(f1306,plain,
! [X0,X1] :
( cyclic(X0,X1,X0,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[],[f1085,f929]) ).
fof(f1314,plain,
! [X0,X1] : cyclic(X0,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f1306,f1213]) ).
fof(f1349,plain,
! [X0,X1] : cyclic(X0,X0,X1,X0),
inference(resolution,[],[f1314,f265]) ).
fof(f1421,plain,
! [X0,X1] : cyclic(X0,X0,X0,X1),
inference(resolution,[],[f1349,f264]) ).
fof(f1517,plain,
! [X2,X0,X1] :
( ~ cyclic(X0,X0,X0,X1)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[],[f1421,f267]) ).
fof(f1526,plain,
! [X2,X0,X1] : cyclic(X0,X0,X1,X2),
inference(forward_subsumption_resolution,[],[f1517,f1421]) ).
fof(f1584,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f1526,f267]) ).
fof(f1593,plain,
! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f1584,f1526]) ).
fof(f1787,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,f1593]) ).
fof(f1788,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,[],[f1787,f1593]) ).
fof(f1789,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,[],[f1788,f1593]) ).
fof(f2093,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X0,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(resolution,[],[f1789,f291]) ).
fof(f2102,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(forward_subsumption_resolution,[],[f2093,f1593]) ).
fof(f2108,plain,
! [X0,X1] :
( ~ coll(X0,X1,X1)
| midp(X0,X1,X1) ),
inference(resolution,[],[f2102,f318]) ).
fof(f2123,plain,
! [X0,X1] : midp(X0,X1,X1),
inference(forward_subsumption_resolution,[],[f2108,f1213]) ).
fof(f2126,plain,
! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X2)
| para(X3,X0,X1,X2) ),
inference(resolution,[],[f2123,f295]) ).
fof(f2136,plain,
! [X0] : para(sK22,X0,sK20,sK21),
inference(resolution,[],[f2123,f597]) ).
fof(f2169,plain,
! [X2,X0,X1] : eqangle(X0,sK22,X1,X2,sK20,sK21,X1,X2),
inference(resolution,[],[f2136,f540]) ).
fof(f2624,plain,
! [X2,X0,X1] : para(X0,X1,X2,X2),
inference(resolution,[],[f2126,f2123]) ).
fof(f2628,plain,
! [X2,X0,X1] : para(X0,X0,X1,X2),
inference(resolution,[],[f2624,f255]) ).
fof(f2639,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| para(X0,X1,X3,X4) ),
inference(resolution,[],[f2628,f256]) ).
fof(f2648,plain,
! [X3,X0,X1,X4] : para(X0,X1,X3,X4),
inference(forward_subsumption_resolution,[],[f2639,f2624]) ).
fof(f3033,plain,
! [X0] : cong(sK22,X0,sK21,X0),
inference(resolution,[],[f2169,f1789]) ).
fof(f3039,plain,
! [X0,X1] :
( ~ cong(sK22,X0,sK21,X0)
| perp(sK22,sK21,X0,X1) ),
inference(resolution,[],[f3033,f307]) ).
fof(f3040,plain,
! [X0,X1] : perp(sK22,sK21,X0,X1),
inference(forward_subsumption_resolution,[],[f3039,f3033]) ).
fof(f3089,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,sK22,sK21)
| perp(X0,X1,X2,X3) ),
inference(resolution,[],[f3040,f260]) ).
fof(f3092,plain,
! [X2,X3,X0,X1] : perp(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[],[f3089,f2648]) ).
fof(f3158,plain,
$false,
inference(resolution,[],[f3092,f368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO607+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n004.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Sun Sep 27 08:37:37 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 1.04/0.63 % (3201380)Will run a generic schedule for satisfiability detection.
% 1.04/0.63 % (3201388)dis+10_1_sil=32000:sp=arity:random_seed=2315413010:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.04/0.63 % (3201386)% WARNING: option uhcvi not known.
% 1.04/0.63 % (3201385)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3278702147_2999 on theBenchmark for (2999ds/0Mi)
% 1.04/0.63 % (3201387)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1202066559:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.04/0.63 % (3201386)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1130720662:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.04/0.63 % (3201389)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2476581068:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.04/0.63 % (3201390)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3855517299:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.04/0.63 % (3201391)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3507987748:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.04/0.63 % TRYING [1]
% 1.04/0.63 % TRYING [2]
% 1.04/0.63 % (3201388)Instruction limit reached!
% 1.04/0.63 % (3201388)------------------------------
% 1.04/0.63 % (3201388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.63 % (3201388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.63 % (3201388)CaDiCaL version: 2.1.3
% 1.04/0.63 % (3201388)Termination reason: Instruction limit
% 1.04/0.63 % (3201388)Termination phase: Saturation
% 1.04/0.63 % (3201388)Time elapsed: 0.038 s
% 1.04/0.63 % (3201388)Peak memory usage: 12 MB
% 1.04/0.63 % (3201388)Instructions burned: 105 (million)
% 1.04/0.63 % TRYING [3]
% 1.04/0.63 % (3201399)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1521153448:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.04/0.63 % TRYING [1]
% 1.04/0.63 % TRYING [2]
% 1.04/0.63 % TRYING [3]
% 1.04/0.63 % (3201389)Instruction limit reached!
% 1.04/0.63 % (3201389)------------------------------
% 1.04/0.63 % (3201389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.63 % (3201389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.63 % (3201389)CaDiCaL version: 2.1.3
% 1.04/0.63 % (3201389)Termination reason: Instruction limit
% 1.04/0.63 % (3201389)Termination phase: Saturation
% 1.04/0.63 % (3201389)Time elapsed: 0.070 s
% 1.04/0.63 % (3201389)Peak memory usage: 13 MB
% 1.04/0.63 % (3201389)Instructions burned: 116 (million)
% 1.04/0.63 % (3201390)Instruction limit reached!
% 1.04/0.63 % (3201390)------------------------------
% 1.04/0.63 % (3201390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.63 % (3201390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.63 % (3201390)CaDiCaL version: 2.1.3
% 1.04/0.63 % (3201390)Termination reason: Instruction limit
% 1.04/0.63 % (3201390)Termination phase: Saturation
% 1.04/0.63 % (3201390)Time elapsed: 0.084 s
% 1.04/0.63 % (3201390)Peak memory usage: 14 MB
% 1.04/0.63 % (3201390)Instructions burned: 132 (million)
% 1.04/0.63 % (3201401)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1933754514:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.04/0.63 % (3201391)Instruction limit reached!
% 1.04/0.63 % (3201391)------------------------------
% 1.04/0.63 % (3201391)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.04/0.63 % (3201391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.04/0.63 % (3201391)CaDiCaL version: 2.1.3
% 1.04/0.63 % (3201391)Termination reason: Instruction limit
% 1.04/0.63 % (3201391)Termination phase: Saturation
% 1.04/0.63 % (3201391)Time elapsed: 0.096 s
% 1.04/0.63 % (3201391)Peak memory usage: 14 MB
% 1.04/0.63 % (3201391)Instructions burned: 160 (million)
% 1.04/0.63 % (3201402)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=619183477:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.04/0.63 % (3201404)ott-21_1_sil=16000:fs=off:random_seed=2021659779:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.04/0.63 % (3201402) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3201380-3201402"...
% 1.04/0.63 % (3201402)...printing done.
% 1.04/0.63 % (3201402)Refutation found. Thanks to Tanya!
% 1.04/0.63 % SZS status Theorem for theBenchmark
% 1.04/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.47/0.63 % (3201402)------------------------------
% 1.47/0.63 % (3201402)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.47/0.63 % (3201402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.47/0.63 % (3201402)CaDiCaL version: 2.1.3
% 1.47/0.63 % (3201402)Termination reason: Refutation
% 1.47/0.63 % (3201402)Time elapsed: 0.057 s
% 1.47/0.63 % (3201402)Peak memory usage: 13 MB
% 1.47/0.63 % (3201402)Instructions burned: 91 (million)
% 1.47/0.63 % (3201380)Success in time 0.202 s
% 1.47/0.63 % Vampire exiting
%------------------------------------------------------------------------------