%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO575+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 : n007.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 09:54:46 AM UTC 2026
% Result : Theorem 2.08s 0.89s
% Output : Refutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 21
% Syntax : Number of formulae : 116 ( 11 unt; 2 def)
% Number of atoms : 312 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 334 ( 138 ~; 132 |; 42 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 3 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 485 ( 0 sgn 467 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
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(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/sandbox/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/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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(f42,axiom,
! [X0,X1,X2,X3] :
( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
& ~ coll(X2,X3,X0) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X3,X0,X1)
& midp(X4,X0,X2) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X1)
& para(X0,X2,X1,X3)
& para(X0,X3,X1,X2) )
=> midp(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(f68,axiom,
! [X0,X1,X2] :
( ( cong(X0,X1,X0,X2)
& coll(X0,X1,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) )
=> cong(X1,X6,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214037) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ( circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) )
=> cong(X1,X6,X1,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f125,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f21]) ).
fof(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(f151,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0) ),
inference(flattening,[],[f151]) ).
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(f193,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2) ),
inference(flattening,[],[f193]) ).
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(f200,plain,
! [X0,X1,X2] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
( ~ cong(X1,X6,X1,X5)
& circle(X3,X0,X1,X2)
& perp(X0,X1,X2,X4)
& perp(X0,X2,X1,X4)
& perp(X1,X2,X0,X4)
& circle(X3,X2,X5,X7)
& coll(X5,X2,X4)
& circle(X3,X0,X6,X8)
& coll(X6,X0,X4) ),
inference(flattening,[],[f249]) ).
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(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(f271,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f125]) ).
fof(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(f292,plain,
! [X2,X3,X0,X1] :
( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| coll(X2,X3,X0)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
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(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X1)
| ~ para(X0,X2,X1,X3)
| ~ para(X0,X3,X1,X2)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
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(f319,plain,
! [X2,X0,X1] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f368,plain,
perp(sK21,sK22,sK20,sK24),
inference(cnf_transformation,[],[f250]) ).
fof(f372,plain,
~ cong(sK21,sK26,sK21,sK25),
inference(cnf_transformation,[],[f250]) ).
fof(f373,plain,
~ midp(sK21,sK26,sK25),
inference(resolution,[],[f372,f319]) ).
fof(f408,plain,
perp(sK20,sK24,sK21,sK22),
inference(resolution,[],[f258,f368]) ).
fof(f669,plain,
! [X0,X1] :
( ~ perp(X0,X1,sK21,sK22)
| para(X0,X1,sK20,sK24) ),
inference(resolution,[],[f259,f368]) ).
fof(f697,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| ~ para(X1,X0,X4,X5) ),
inference(resolution,[],[f268,f290]) ).
fof(f714,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X1,X0,X2,X3) ),
inference(resolution,[],[f697,f289]) ).
fof(f749,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X3,X2,X4,X5)
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[],[f269,f697]) ).
fof(f750,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5) ),
inference(resolution,[],[f269,f290]) ).
fof(f755,plain,
para(sK20,sK24,sK20,sK24),
inference(resolution,[],[f669,f408]) ).
fof(f757,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(resolution,[],[f750,f289]) ).
fof(f761,definition,
( spl29_49
<=> ! [X2,X3] : para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[spl29_49])],[avatar_definition]) ).
fof(f762,plain,
( ! [X2,X3] : para(X2,X3,X2,X3)
| ~ spl29_49 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f764,definition,
( spl29_50
<=> ! [X0,X1] : ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[spl29_50])],[avatar_definition]) ).
fof(f765,plain,
( ! [X0,X1] : ~ para(X0,X1,X0,X1)
| ~ spl29_50 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f766,plain,
( spl29_49
| spl29_50 ),
inference(avatar_split_clause,[],[f757,f764,f761]) ).
fof(f767,plain,
( $false
| ~ spl29_50 ),
inference(forward_subsumption_resolution,[],[f755,f765]) ).
fof(f768,plain,
~ spl29_50,
inference(avatar_contradiction_clause,[],[f767]) ).
fof(f769,plain,
( ! [X0,X1] : coll(X0,X1,X1)
| ~ spl29_49 ),
inference(resolution,[],[f762,f317]) ).
fof(f770,plain,
( ! [X0,X1] : para(X0,X1,X1,X0)
| ~ spl29_49 ),
inference(resolution,[],[f762,f714]) ).
fof(f783,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X3,X2)
| ~ spl29_49 ),
inference(resolution,[],[f749,f762]) ).
fof(f784,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
| ~ spl29_49 ),
inference(resolution,[],[f749,f770]) ).
fof(f956,plain,
( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
| ~ spl29_49 ),
inference(resolution,[],[f271,f784]) ).
fof(f1136,plain,
( ! [X2,X0,X1] :
( cyclic(X2,X2,X0,X1)
| coll(X0,X1,X2) )
| ~ spl29_49 ),
inference(resolution,[],[f292,f956]) ).
fof(f1521,plain,
( ! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| cyclic(X2,X2,X0,X1) )
| ~ spl29_49 ),
inference(resolution,[],[f293,f956]) ).
fof(f1529,plain,
( ! [X2,X0,X1] : cyclic(X2,X2,X0,X1)
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f1521,f1136]) ).
fof(f1659,plain,
( ! [X2,X3,X0,X1] :
( ~ cyclic(X0,X0,X1,X2)
| cyclic(X0,X1,X2,X3) )
| ~ spl29_49 ),
inference(resolution,[],[f1529,f267]) ).
fof(f1666,plain,
( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f1659,f1529]) ).
fof(f13967,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) )
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f294,f1666]) ).
fof(f13968,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) )
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f13967,f1666]) ).
fof(f13969,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| cong(X0,X1,X3,X4) )
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f13968,f1666]) ).
fof(f14000,plain,
( ! [X0,X1] : cong(X0,X1,X0,X1)
| ~ spl29_49 ),
inference(resolution,[],[f13969,f783]) ).
fof(f14028,plain,
( ! [X0,X1] :
( ~ coll(X0,X1,X1)
| midp(X0,X1,X1) )
| ~ spl29_49 ),
inference(resolution,[],[f14000,f318]) ).
fof(f14042,plain,
( ! [X0,X1] : midp(X0,X1,X1)
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f14028,f769]) ).
fof(f14044,plain,
( ! [X2,X3,X0,X1] :
( ~ midp(X0,X1,X2)
| para(X0,X3,X2,X1) )
| ~ spl29_49 ),
inference(resolution,[],[f14042,f295]) ).
fof(f14047,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X0,X1,X0,X2)
| ~ para(X0,X2,X0,X1)
| midp(X3,X1,X2) )
| ~ spl29_49 ),
inference(resolution,[],[f14042,f315]) ).
fof(f14109,plain,
( ! [X2,X3,X0,X1] :
( ~ para(X0,X2,X0,X1)
| midp(X3,X1,X2) )
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f14047,f255]) ).
fof(f14821,plain,
( ! [X2,X0,X1] : para(X0,X1,X2,X2)
| ~ spl29_49 ),
inference(resolution,[],[f14044,f14042]) ).
fof(f14828,plain,
( ! [X2,X0,X1] : para(X0,X0,X1,X2)
| ~ spl29_49 ),
inference(resolution,[],[f14821,f255]) ).
fof(f15297,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ para(X0,X1,X2,X2)
| para(X0,X1,X3,X4) )
| ~ spl29_49 ),
inference(resolution,[],[f14828,f256]) ).
fof(f15359,plain,
( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f15297,f14821]) ).
fof(f15525,plain,
( ! [X2,X3,X1] : midp(X3,X1,X2)
| ~ spl29_49 ),
inference(forward_subsumption_resolution,[],[f14109,f15359]) ).
fof(f15527,plain,
( $false
| ~ spl29_49 ),
inference(resolution,[],[f15525,f373]) ).
fof(f15532,plain,
~ spl29_49,
inference(avatar_contradiction_clause,[],[f15527]) ).
cnf(s25,plain,
( spl29_49
| spl29_50 ),
inference(sat_conversion,[],[f766]) ).
cnf(s26,plain,
~ spl29_50,
inference(sat_conversion,[],[f768]) ).
cnf(s302,plain,
~ spl29_49,
inference(sat_conversion,[],[f15532]) ).
cnf(s305,plain,
$false,
inference(rat,[],[s25,s26,s302]) ).
fof(f15533,plain,
$false,
inference(avatar_sat_refutation,[],[s305]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO575+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n007.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 08:31:09 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 2.08/0.89 % (1104532)Will run a generic schedule for satisfiability detection.
% 2.08/0.89 % (1104539)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1177062070:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.08/0.89 % (1104538)% WARNING: option uhcvi not known.
% 2.08/0.89 % (1104537)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1617591114_2999 on theBenchmark for (2999ds/0Mi)
% 2.08/0.89 % (1104540)dis+10_1_sil=32000:sp=arity:random_seed=2052450276:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.08/0.89 % (1104538)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3678590533:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.08/0.89 % (1104541)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3509759154:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.08/0.89 % (1104542)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2657863919:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.08/0.89 % (1104543)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4155657730:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.08/0.89 % TRYING [1]
% 2.08/0.89 % TRYING [2]
% 2.08/0.89 % TRYING [3]
% 2.08/0.89 % (1104540)Instruction limit reached!
% 2.08/0.89 % (1104540)------------------------------
% 2.08/0.89 % (1104540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104540)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104540)Termination reason: Instruction limit
% 2.08/0.89 % (1104540)Termination phase: Saturation
% 2.08/0.89 % (1104540)Time elapsed: 0.067 s
% 2.08/0.89 % (1104540)Peak memory usage: 13 MB
% 2.08/0.89 % (1104540)Instructions burned: 104 (million)
% 2.08/0.89 % (1104541)Instruction limit reached!
% 2.08/0.89 % (1104541)------------------------------
% 2.08/0.89 % (1104541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104541)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104541)Termination reason: Instruction limit
% 2.08/0.89 % (1104541)Termination phase: Saturation
% 2.08/0.89 % (1104541)Time elapsed: 0.071 s
% 2.08/0.89 % (1104541)Peak memory usage: 13 MB
% 2.08/0.89 % (1104541)Instructions burned: 121 (million)
% 2.08/0.89 % (1104542)Instruction limit reached!
% 2.08/0.89 % (1104542)------------------------------
% 2.08/0.89 % (1104542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104542)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104542)Termination reason: Instruction limit
% 2.08/0.89 % (1104542)Termination phase: Saturation
% 2.08/0.89 % (1104542)Time elapsed: 0.082 s
% 2.08/0.89 % (1104542)Peak memory usage: 14 MB
% 2.08/0.89 % (1104542)Instructions burned: 131 (million)
% 2.08/0.89 % (1104551)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2345350353:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.08/0.89 % (1104552)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2878245218:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.08/0.89 % (1104543)Instruction limit reached!
% 2.08/0.89 % (1104543)------------------------------
% 2.08/0.89 % (1104543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104543)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104543)Termination reason: Instruction limit
% 2.08/0.89 % (1104543)Termination phase: Saturation
% 2.08/0.89 % (1104543)Time elapsed: 0.095 s
% 2.08/0.89 % (1104543)Peak memory usage: 13 MB
% 2.08/0.89 % (1104543)Instructions burned: 159 (million)
% 2.08/0.89 % TRYING [1]
% 2.08/0.89 % TRYING [2]
% 2.08/0.89 % (1104553)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=2300515028:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.08/0.89 % (1104556)ott-21_1_sil=16000:fs=off:random_seed=1055648893:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.08/0.89 % TRYING [3]
% 2.08/0.89 % (1104552)Instruction limit reached!
% 2.08/0.89 % (1104552)------------------------------
% 2.08/0.89 % (1104552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104552)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104552)Termination reason: Instruction limit
% 2.08/0.89 % (1104552)Termination phase: Saturation
% 2.08/0.89 % (1104552)Time elapsed: 0.083 s
% 2.08/0.89 % (1104552)Peak memory usage: 14 MB
% 2.08/0.89 % (1104552)Instructions burned: 131 (million)
% 2.08/0.89 % (1104559)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2568115290:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.08/0.89 % (1104556)Instruction limit reached!
% 2.08/0.89 % (1104556)------------------------------
% 2.08/0.89 % (1104556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104556)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104556)Termination reason: Instruction limit
% 2.08/0.89 % (1104556)Termination phase: Saturation
% 2.08/0.89 % (1104556)Time elapsed: 0.097 s
% 2.08/0.89 % (1104556)Peak memory usage: 13 MB
% 2.08/0.89 % (1104556)Instructions burned: 180 (million)
% 2.08/0.89 % (1104561)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=210534580:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.08/0.89 % TRYING [1]
% 2.08/0.89 % TRYING [2]
% 2.08/0.89 % TRYING [3]
% 2.08/0.89 % (1104551)Instruction limit reached!
% 2.08/0.89 % (1104551)------------------------------
% 2.08/0.89 % (1104551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.89 % (1104551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.89 % (1104551)CaDiCaL version: 2.1.3
% 2.08/0.89 % (1104551)Termination reason: Instruction limit
% 2.08/0.89 % (1104551)Termination phase: Finite model building constraint generation
% 2.08/0.89 % (1104551)Time elapsed: 0.251 s
% 2.08/0.89 % (1104551)Peak memory usage: 24 MB
% 2.08/0.89 % (1104551)Instructions burned: 717 (million)
% 2.08/0.89 % (1104563)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2979977015:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 2.08/0.89 % (1104553) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1104532-1104553"...
% 2.08/0.89 % (1104553)...printing done.
% 2.08/0.89 % (1104553)Refutation found. Thanks to Tanya!
% 2.08/0.89 % SZS status Theorem for theBenchmark
% 2.08/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 2.08/0.89 % (1104553)------------------------------
% 2.08/0.89 % (1104553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.90 % (1104553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.90 % (1104553)CaDiCaL version: 2.1.3
% 2.08/0.90 % (1104553)Termination reason: Refutation
% 2.08/0.90 % (1104553)Time elapsed: 0.317 s
% 2.08/0.90 % (1104553)Peak memory usage: 17 MB
% 2.08/0.90 % (1104553)Instructions burned: 549 (million)
% 2.08/0.90 % (1104532)Success in time 0.467 s
% 2.08/0.90 % Vampire exiting
%------------------------------------------------------------------------------