%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO546+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 : n016.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 09:54:42 AM UTC 2026
% Result : Theorem 1.83s 0.76s
% Output : Refutation 1.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 21
% Syntax : Number of formulae : 112 ( 25 unt; 0 def)
% Number of atoms : 260 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 247 ( 99 ~; 95 |; 31 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 516 ( 504 !; 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(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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
fof(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
& eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
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(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] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) )
=> perp(X1,X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012006) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) )
=> perp(X1,X5,X0,X2) ),
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(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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f20]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
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(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] :
( ~ perp(X1,X5,X0,X2)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ perp(X1,X5,X0,X2)
& perp(X3,X2,X0,X1)
& coll(X3,X0,X1)
& perp(X4,X0,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X0,X4) ),
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(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,X3)
| ~ cyclic(X0,X1,X2,X4)
| 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(f270,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f124]) ).
fof(f272,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
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(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(sK23,sK22,sK20,sK21),
inference(cnf_transformation,[],[f250]) ).
fof(f370,plain,
~ perp(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f250]) ).
fof(f449,plain,
perp(sK20,sK21,sK23,sK22),
inference(resolution,[],[f258,f369]) ).
fof(f687,plain,
! [X0,X1] :
( ~ perp(sK20,sK21,X0,X1)
| para(sK23,sK22,X0,X1) ),
inference(resolution,[],[f259,f369]) ).
fof(f908,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X2,X1,X3)
| eqangle(X0,X1,X1,X2,X3,X0,X3,X2) ),
inference(resolution,[],[f268,f291]) ).
fof(f946,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(f1963,plain,
para(sK23,sK22,sK23,sK22),
inference(resolution,[],[f687,f449]) ).
fof(f1972,plain,
! [X0,X1] : eqangle(X0,X1,sK23,sK22,X0,X1,sK23,sK22),
inference(resolution,[],[f1963,f946]) ).
fof(f3109,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| cyclic(X2,X1,X0,X0)
| ~ para(X0,X2,X0,X2) ),
inference(resolution,[],[f293,f290]) ).
fof(f3595,plain,
! [X0,X1] : para(X0,X1,X0,X1),
inference(resolution,[],[f1972,f289]) ).
fof(f3604,plain,
! [X0,X1] : coll(X0,X1,X1),
inference(resolution,[],[f3595,f317]) ).
fof(f3619,plain,
! [X0,X1] : coll(X0,X1,X0),
inference(resolution,[],[f3604,f252]) ).
fof(f3803,plain,
! [X0,X1] : coll(X0,X0,X1),
inference(resolution,[],[f3619,f251]) ).
fof(f3984,plain,
! [X2,X0,X1] :
( ~ coll(X0,X0,X1)
| coll(X1,X2,X0) ),
inference(resolution,[],[f3803,f253]) ).
fof(f4017,plain,
! [X2,X0,X1] : coll(X1,X2,X0),
inference(forward_subsumption_resolution,[],[f3984,f3803]) ).
fof(f4667,plain,
! [X2,X0,X1] :
( cyclic(X2,X1,X0,X0)
| ~ para(X0,X2,X0,X2) ),
inference(forward_subsumption_resolution,[],[f3109,f4017]) ).
fof(f4668,plain,
! [X2,X0,X1] : cyclic(X2,X1,X0,X0),
inference(forward_subsumption_resolution,[],[f4667,f3595]) ).
fof(f4670,plain,
! [X2,X0,X1] : cyclic(X0,X1,X2,X1),
inference(resolution,[],[f4668,f265]) ).
fof(f4678,plain,
! [X2,X0,X1] : cyclic(X0,X1,X1,X2),
inference(resolution,[],[f4670,f264]) ).
fof(f4683,plain,
! [X2,X0,X1] : eqangle(X0,X1,X1,X2,X2,X0,X2,X2),
inference(resolution,[],[f4670,f908]) ).
fof(f4689,plain,
! [X2,X0,X1] : cyclic(X0,X1,X0,X2),
inference(resolution,[],[f4678,f266]) ).
fof(f4709,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X0,X2)
| cyclic(X1,X0,X3,X2) ),
inference(resolution,[],[f4689,f267]) ).
fof(f4715,plain,
! [X2,X3,X0,X1] : cyclic(X1,X0,X3,X2),
inference(forward_subsumption_resolution,[],[f4709,f4689]) ).
fof(f5138,plain,
! [X2,X0,X1] : eqangle(X0,X1,X0,X0,X1,X2,X2,X0),
inference(resolution,[],[f4683,f270]) ).
fof(f6310,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X0,X2,X3,X4,X5,X6)
| eqangle(X7,X1,X7,X2,X3,X4,X5,X6)
| ~ cyclic(X1,X2,X7,X0) ),
inference(resolution,[],[f272,f291]) ).
fof(f6403,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X0,X2,X3,X4,X5,X6)
| eqangle(X7,X1,X7,X2,X3,X4,X5,X6) ),
inference(forward_subsumption_resolution,[],[f6310,f4715]) ).
fof(f7395,plain,
! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X1,X3,X3,X2),
inference(resolution,[],[f6403,f5138]) ).
fof(f7923,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,f4715]) ).
fof(f7924,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,[],[f7923,f4715]) ).
fof(f7925,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,[],[f7924,f4715]) ).
fof(f8371,plain,
! [X0,X1] : cong(X0,X1,X0,X1),
inference(resolution,[],[f7925,f7395]) ).
fof(f8402,plain,
! [X2,X3,X0,X1] :
( ~ para(X3,X0,X3,X2)
| cong(X0,X1,X2,X1) ),
inference(resolution,[],[f7925,f290]) ).
fof(f8461,plain,
! [X2,X0,X1] :
( ~ cong(X0,X1,X0,X1)
| perp(X0,X0,X2,X1) ),
inference(resolution,[],[f8371,f307]) ).
fof(f8515,plain,
! [X2,X0,X1] : perp(X0,X0,X2,X1),
inference(forward_subsumption_resolution,[],[f8461,f8371]) ).
fof(f8931,plain,
! [X2,X0,X1] : perp(X0,X1,X2,X2),
inference(resolution,[],[f8515,f258]) ).
fof(f8962,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X0,X0,X1,X2)
| para(X3,X4,X1,X2) ),
inference(resolution,[],[f8931,f259]) ).
fof(f8983,plain,
! [X2,X3,X1,X4] : para(X3,X4,X1,X2),
inference(forward_subsumption_resolution,[],[f8962,f8515]) ).
fof(f9202,plain,
! [X2,X0,X1] : cong(X0,X1,X2,X1),
inference(resolution,[],[f8983,f8402]) ).
fof(f10974,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X1)
| perp(X0,X2,X3,X1) ),
inference(resolution,[],[f9202,f307]) ).
fof(f11048,plain,
! [X2,X3,X0,X1] : perp(X0,X2,X3,X1),
inference(forward_subsumption_resolution,[],[f10974,f9202]) ).
fof(f12580,plain,
$false,
inference(resolution,[],[f11048,f370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO546+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.38 % Computer : n016.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 08:34:02 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 1.83/0.76 % (2320585)Will run a generic schedule for satisfiability detection.
% 1.83/0.76 % (2320596)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2062503097:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.83/0.76 % (2320591)% WARNING: option uhcvi not known.
% 1.83/0.76 % (2320594)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3797179646:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.83/0.76 % (2320590)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=400096600_2999 on theBenchmark for (2999ds/0Mi)
% 1.83/0.76 % (2320591)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2001740197:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.83/0.76 % (2320593)dis+10_1_sil=32000:sp=arity:random_seed=1635531822:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.83/0.76 % (2320592)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=806413825:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.83/0.76 % (2320595)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=837181016:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.83/0.76 % TRYING [1]
% 1.83/0.76 % TRYING [2]
% 1.83/0.76 % TRYING [3]
% 1.83/0.76 % (2320596)Instruction limit reached!
% 1.83/0.76 % (2320596)------------------------------
% 1.83/0.76 % (2320596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320596)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320596)Termination reason: Instruction limit
% 1.83/0.76 % (2320596)Termination phase: Saturation
% 1.83/0.76 % (2320596)Time elapsed: 0.056 s
% 1.83/0.76 % (2320596)Peak memory usage: 14 MB
% 1.83/0.76 % (2320596)Instructions burned: 159 (million)
% 1.83/0.76 % (2320604)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2383653260:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.83/0.76 % TRYING [1]
% 1.83/0.76 % TRYING [2]
% 1.83/0.76 % (2320593)Instruction limit reached!
% 1.83/0.76 % (2320593)------------------------------
% 1.83/0.76 % (2320593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320593)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320593)Termination reason: Instruction limit
% 1.83/0.76 % (2320593)Termination phase: Saturation
% 1.83/0.76 % (2320593)Time elapsed: 0.066 s
% 1.83/0.76 % (2320593)Peak memory usage: 12 MB
% 1.83/0.76 % (2320593)Instructions burned: 103 (million)
% 1.83/0.76 % (2320594)Instruction limit reached!
% 1.83/0.76 % (2320594)------------------------------
% 1.83/0.76 % (2320594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320594)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320594)Termination reason: Instruction limit
% 1.83/0.76 % (2320594)Termination phase: Saturation
% 1.83/0.76 % (2320594)Time elapsed: 0.069 s
% 1.83/0.76 % (2320594)Peak memory usage: 13 MB
% 1.83/0.76 % (2320594)Instructions burned: 117 (million)
% 1.83/0.76 % (2320595)Instruction limit reached!
% 1.83/0.76 % (2320595)------------------------------
% 1.83/0.76 % (2320595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320595)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320595)Termination reason: Instruction limit
% 1.83/0.76 % (2320595)Termination phase: Saturation
% 1.83/0.76 % (2320595)Time elapsed: 0.084 s
% 1.83/0.76 % (2320595)Peak memory usage: 14 MB
% 1.83/0.76 % (2320595)Instructions burned: 132 (million)
% 1.83/0.76 % TRYING [3]
% 1.83/0.76 % (2320606)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2328303911:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.83/0.76 % (2320607)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=998569554:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.83/0.76 % (2320608)ott-21_1_sil=16000:fs=off:random_seed=1322645731:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.83/0.76 % (2320606)Instruction limit reached!
% 1.83/0.76 % (2320606)------------------------------
% 1.83/0.76 % (2320606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320606)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320606)Termination reason: Instruction limit
% 1.83/0.76 % (2320606)Termination phase: Saturation
% 1.83/0.76 % (2320606)Time elapsed: 0.086 s
% 1.83/0.76 % (2320606)Peak memory usage: 14 MB
% 1.83/0.76 % (2320606)Instructions burned: 132 (million)
% 1.83/0.76 % (2320612)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2730910741:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.83/0.76 % (2320604)Instruction limit reached!
% 1.83/0.76 % (2320604)------------------------------
% 1.83/0.76 % (2320604)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320604)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320604)Termination reason: Instruction limit
% 1.83/0.76 % (2320604)Termination phase: Finite model building constraint generation
% 1.83/0.76 % (2320604)Time elapsed: 0.136 s
% 1.83/0.76 % (2320604)Peak memory usage: 25 MB
% 1.83/0.76 % (2320604)Instructions burned: 720 (million)
% 1.83/0.76 % (2320608)Instruction limit reached!
% 1.83/0.76 % (2320608)------------------------------
% 1.83/0.76 % (2320608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320608)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320608)Termination reason: Instruction limit
% 1.83/0.76 % (2320608)Termination phase: Saturation
% 1.83/0.76 % (2320608)Time elapsed: 0.097 s
% 1.83/0.76 % (2320608)Peak memory usage: 13 MB
% 1.83/0.76 % (2320608)Instructions burned: 180 (million)
% 1.83/0.76 % (2320614)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1890354016:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.83/0.76 % TRYING [1]
% 1.83/0.76 % TRYING [2]
% 1.83/0.76 % (2320615)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1529071185:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.83/0.76 % TRYING [3]
% 1.83/0.76 % (2320607) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2320585-2320607"...
% 1.83/0.76 % (2320607)...printing done.
% 1.83/0.76 % (2320607)Refutation found. Thanks to Tanya!
% 1.83/0.76 % SZS status Theorem for theBenchmark
% 1.83/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 1.83/0.76 % (2320607)------------------------------
% 1.83/0.76 % (2320607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.83/0.76 % (2320607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.83/0.76 % (2320607)CaDiCaL version: 2.1.3
% 1.83/0.76 % (2320607)Termination reason: Refutation
% 1.83/0.76 % (2320607)Time elapsed: 0.213 s
% 1.83/0.76 % (2320607)Peak memory usage: 15 MB
% 1.83/0.76 % (2320607)Instructions burned: 384 (million)
% 1.83/0.76 % (2320585)Success in time 0.341 s
% 1.83/0.76 % Vampire exiting
%------------------------------------------------------------------------------