%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO646+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n017.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 : Fri Sep 25 01:21:44 PM UTC 2026
% Result : Theorem 44.14s 11.84s
% Output : CNFRefutation 44.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 32
% Syntax : Number of formulae : 269 ( 38 unt; 0 def)
% Number of atoms : 706 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 777 ( 340 ~; 334 |; 70 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-7 aty)
% Number of variables : 922 ( 0 sgn 891 !; 31 ?; 282 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> 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(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(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> 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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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(f22,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,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] :
( ( 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) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f49,axiom,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> 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,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(f65,axiom,
! [X0,X1,X2,X3,X4] :
( ( para(X0,X3,X1,X2)
& para(X0,X2,X1,X3)
& midp(X4,X0,X1) )
=> 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] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,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(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f83,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ( coll(X3,X0,X1)
& coll(X2,X0,X1)
& midp(X5,X2,X3)
& midp(X4,X0,X1) )
=> midp(X7,X0,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( ( circle(X0,X2,X7,X13)
& coll(X2,X6,X7)
& midp(X6,X4,X5)
& circle(X0,X1,X5,X12)
& coll(X5,X3,X4)
& circle(X0,X1,X4,X11)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X8,X9) )
=> 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,X2,X7,X13)
& coll(X2,X6,X7)
& midp(X6,X4,X5)
& circle(X0,X1,X5,X12)
& coll(X5,X3,X4)
& circle(X0,X1,X4,X11)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X8,X9) )
=> para(X4,X5,X1,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f123,plain,
! [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) ),
inference(ennf_transformation,[],[f19]) ).
fof(f124,plain,
! [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) ),
inference(ennf_transformation,[],[f20]) ).
fof(f125,plain,
! [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) ),
inference(ennf_transformation,[],[f21]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(ennf_transformation,[],[f22]) ).
fof(f127,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(flattening,[],[f126]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(f148,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f39]) ).
fof(f149,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f40]) ).
fof(f153,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f43]) ).
fof(f154,plain,
! [X0,X1,X2,X3] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f153]) ).
fof(f155,plain,
! [X0,X1,X2,X3,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(ennf_transformation,[],[f44]) ).
fof(f156,plain,
! [X0,X1,X2,X3,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(flattening,[],[f155]) ).
fof(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(f164,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f49]) ).
fof(f165,plain,
! [X0,X1,X2,X3,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(flattening,[],[f164]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f208,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f74]) ).
fof(f209,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(flattening,[],[f208]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(ennf_transformation,[],[f83]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
? [X7] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(X7,X0,X6) ),
inference(flattening,[],[f226]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( circle(X0,X2,X7,X13)
& coll(X2,X6,X7)
& midp(X6,X4,X5)
& circle(X0,X1,X5,X12)
& coll(X5,X3,X4)
& circle(X0,X1,X4,X11)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X8,X9)
& ~ para(X4,X5,X1,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( circle(X0,X2,X7,X13)
& coll(X2,X6,X7)
& midp(X6,X4,X5)
& circle(X0,X1,X5,X12)
& coll(X5,X3,X4)
& circle(X0,X1,X4,X11)
& perp(X0,X2,X2,X3)
& circle(X0,X1,X2,X10)
& perp(X0,X1,X1,X3)
& circle(X0,X1,X8,X9)
& ~ para(X4,X5,X1,X7) ),
inference(flattening,[],[f249]) ).
fof(f257,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X7,sK6(X0,X1,X2,X3,X4,X5,X6))],[f227]) ).
fof(f270,plain,
( circle(sK20,sK22,sK27,sK33)
& coll(sK22,sK26,sK27)
& midp(sK26,sK24,sK25)
& circle(sK20,sK21,sK25,sK32)
& coll(sK25,sK23,sK24)
& circle(sK20,sK21,sK24,sK31)
& perp(sK20,sK22,sK22,sK23)
& circle(sK20,sK21,sK22,sK30)
& perp(sK20,sK21,sK21,sK23)
& circle(sK20,sK21,sK28,sK29)
& ~ para(sK24,sK25,sK21,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,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(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,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(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f289,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,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(f291,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(f292,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
inference(cnf_transformation,[],[f127]) ).
fof(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(f309,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(f310,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(f313,plain,
! [X2,X3,X0,X1] :
( ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f154]) ).
fof(f314,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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(f319,plain,
! [X2,X3,X0,X1,X4] :
( ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2)
| eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f165]) ).
fof(f327,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(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
fof(f344,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f209]) ).
fof(f360,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ coll(X3,X0,X1)
| ~ coll(X2,X0,X1)
| ~ midp(X5,X2,X3)
| ~ midp(X4,X0,X1)
| midp(sK6(X0,X1,X2,X3,X4,X5,X6),X0,X6) ),
inference(cnf_transformation,[],[f257]) ).
fof(f384,plain,
circle(sK20,sK22,sK27,sK33),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
midp(sK26,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f394,plain,
~ para(sK24,sK25,sK21,sK27),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f289]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f290]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f291]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i,X8: $i,X9: $i,X10: $i,X11: $i] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
| ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f292]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[],[f309]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f310]) ).
tcf(c_91,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f313]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X0,X5)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
| ~ circle(X0,X1,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f319]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
tcf(c_122,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f344]) ).
tcf(c_138,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
( midp(sK6(X1,X2,X0,X3,X4,X5,X6),X1,X6)
| ~ midp(X5,X0,X3)
| ~ midp(X4,X1,X2)
| ~ coll(X3,X1,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f360]) ).
tcf(c_162,negated_conjecture,
~ para(sK24,sK25,sK21,sK27),
inference(cnf_transformation,[],[f394]) ).
tcf(c_164,negated_conjecture,
perp(sK20,sK21,sK21,sK23),
inference(cnf_transformation,[],[f392]) ).
tcf(c_166,negated_conjecture,
perp(sK20,sK22,sK22,sK23),
inference(cnf_transformation,[],[f390]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK23,sK24),
inference(cnf_transformation,[],[f388]) ).
tcf(c_170,negated_conjecture,
midp(sK26,sK24,sK25),
inference(cnf_transformation,[],[f386]) ).
tcf(c_172,negated_conjecture,
circle(sK20,sK22,sK27,sK33),
inference(cnf_transformation,[],[f384]) ).
tcf(c_178,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_187,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_7205,plain,
( midp(sK26,sK25,sK24)
| ~ midp(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_7207,plain,
( cong(sK26,sK24,sK26,sK25)
| ~ midp(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_7216,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK25)
| ~ midp(sK26,sK24,sK25)
| ~ midp(X0,sK24,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_7289,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( midp(sK6(X1,X2,sK24,sK25,X0,sK26,X3),X1,X3)
| ~ midp(sK26,sK24,sK25)
| ~ coll(sK25,X1,X2)
| ~ coll(sK24,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_138]) ).
tcf(c_7367,plain,
midp(sK26,sK25,sK24),
inference(superposition,[status(thm)],[c_170,c_59]) ).
tcf(c_7370,plain,
coll(sK26,sK24,sK25),
inference(superposition,[status(thm)],[c_170,c_118]) ).
tcf(c_7371,plain,
( cong(sK26,sK25,sK26,sK24)
| ~ midp(sK26,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_7376,plain,
! [X0: $i,X1: $i] :
( para(X0,sK26,X1,sK24)
| ~ midp(sK26,sK25,sK24)
| ~ midp(X0,sK25,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_7467,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK26,sK25)
| ~ cong(sK26,sK24,sK26,sK25)
| ~ cong(X0,X1,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_7517,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK23,X0) ),
inference(superposition,[status(thm)],[c_168,c_51]) ).
tcf(c_7523,plain,
! [X0: $i] :
( coll(sK25,X0,sK26)
| ~ coll(sK26,sK24,X0) ),
inference(superposition,[status(thm)],[c_7370,c_51]) ).
tcf(c_7587,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_168,c_7517]) ).
tcf(c_7588,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_7587,c_51]) ).
tcf(c_7740,plain,
coll(sK25,sK25,sK26),
inference(superposition,[status(thm)],[c_7370,c_7523]) ).
tcf(c_7743,plain,
coll(sK25,sK26,sK25),
inference(superposition,[status(thm)],[c_7740,c_49]) ).
tcf(c_7747,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_7587,c_7588]) ).
tcf(c_7751,plain,
coll(sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_7747,c_49]) ).
tcf(c_7766,plain,
( para(sK26,sK26,sK25,sK25)
| ~ midp(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_7216]) ).
tcf(c_7849,plain,
coll(sK26,sK25,sK25),
inference(superposition,[status(thm)],[c_7743,c_50]) ).
tcf(c_7882,plain,
! [X0: $i,X1: $i] :
( para(sK26,X0,sK25,X1)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_170,c_93]) ).
tcf(c_7883,plain,
! [X0: $i,X1: $i] :
( para(sK26,X0,sK24,X1)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_7367,c_93]) ).
tcf(c_7906,plain,
! [X0: $i,X1: $i] :
( para(sK24,X0,sK25,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_170,c_112]) ).
tcf(c_7907,plain,
! [X0: $i,X1: $i] :
( para(sK25,X0,sK24,X1)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7367,c_112]) ).
tcf(c_7994,plain,
! [X0: $i,X1: $i] :
( para(sK24,X1,sK26,X0)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_7883,c_53]) ).
tcf(c_8042,plain,
perp(sK21,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_8043,plain,
perp(sK22,sK23,sK20,sK22),
inference(superposition,[status(thm)],[c_166,c_56]) ).
tcf(c_8071,plain,
perp(sK21,sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_8042,c_55]) ).
tcf(c_8288,plain,
! [X0: $i,X1: $i] :
( midp(sK6(sK24,sK25,sK24,sK25,X0,sK26,X1),sK24,X1)
| ~ midp(sK26,sK24,sK25)
| ~ coll(sK25,sK24,sK25)
| ~ coll(sK24,sK24,sK25)
| ~ midp(X0,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_7289]) ).
tcf(c_8361,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK26,X0,X1,sK25,sK25,X0,X1)
| ~ para(sK26,sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_8366,plain,
( eqangle(sK26,sK26,sK20,sK20,sK25,sK25,sK20,sK20)
| ~ para(sK26,sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_8361]) ).
tcf(c_8374,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK26,sK26,sK25,sK25)
| ~ eqangle(X0,X1,X2,X3,sK26,sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_8375,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK26,sK26,sK25,sK25)
| ~ eqangle(sK20,sK20,sK20,sK20,sK26,sK26,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_8374]) ).
tcf(c_8998,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK26,X3,X1,X2)
| ~ midp(X3,sK24,X0)
| ~ para(sK25,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7882,c_54]) ).
tcf(c_9000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK24,X3,X1,X2)
| ~ midp(sK26,X3,X0)
| ~ para(sK25,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7906,c_54]) ).
tcf(c_9030,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK21,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_9031,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_57]) ).
tcf(c_9269,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_8042,c_9030]) ).
tcf(c_9270,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_8071,c_9030]) ).
tcf(c_9273,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_8043,c_9031]) ).
tcf(c_9287,plain,
para(sK21,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_9270,c_53]) ).
tcf(c_11358,plain,
( para(sK26,sK26,sK24,sK24)
| ~ midp(sK26,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_7376]) ).
tcf(c_11381,plain,
( cong(sK26,sK25,sK26,sK25)
| ~ cong(sK26,sK25,sK26,sK24)
| ~ cong(sK26,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_7467]) ).
tcf(c_12103,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_12104,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12103]) ).
tcf(c_12128,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_12129,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_12128]) ).
tcf(c_12212,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,X0,X0)
| ~ coll(X0,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
tcf(c_12216,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12212]) ).
tcf(c_17365,plain,
! [X0: $i] :
( midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,X0),sK24,X0)
| ~ midp(sK26,sK24,sK25)
| ~ coll(sK25,sK24,sK25)
| ~ coll(sK24,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_8288]) ).
tcf(c_17366,plain,
( midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,sK20),sK24,sK20)
| ~ midp(sK26,sK24,sK25)
| ~ coll(sK25,sK24,sK25)
| ~ coll(sK24,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_17365]) ).
tcf(c_17385,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK26,sK25,sK25,X0,X1,X0,X1)
| ~ eqangle(sK26,sK26,X0,X1,sK25,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_17393,plain,
( eqangle(sK26,sK26,sK25,sK25,sK20,sK20,sK20,sK20)
| ~ eqangle(sK26,sK26,sK20,sK20,sK25,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_17385]) ).
tcf(c_21050,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_21051,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_21050]) ).
tcf(c_21451,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X1,X3,X2,X3)
| ~ cyclic(X1,X3,X0,X3)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ para(X0,X1,X0,X2) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
tcf(c_21474,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21451]) ).
tcf(c_21682,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X1,sK24,X2,X0)
| ~ midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,X0),sK24,X0)
| ~ midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,X0),X1,X2) ),
inference(instantiation,[status(thm)],[c_112]) ).
tcf(c_21769,plain,
( midp(sK26,sK25,sK25)
| ~ coll(sK26,sK25,sK25)
| ~ cong(sK26,sK25,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_30248,plain,
! [X0: $i] :
( para(sK24,sK24,X0,X0)
| ~ midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,X0),sK24,X0) ),
inference(instantiation,[status(thm)],[c_21682]) ).
tcf(c_30249,plain,
( para(sK24,sK24,sK20,sK20)
| ~ midp(sK6(sK24,sK25,sK24,sK25,sK26,sK26,sK20),sK24,sK20) ),
inference(instantiation,[status(thm)],[c_30248]) ).
tcf(c_32596,plain,
para(sK21,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_9287,c_52]) ).
tcf(c_33450,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_32596,c_115]) ).
tcf(c_33504,plain,
coll(sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_33450,c_50]) ).
tcf(c_33858,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_33504,c_51]) ).
tcf(c_33862,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_33858]) ).
tcf(c_35506,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,sK21,sK27)
| ~ para(sK24,sK25,X0,X1)
| ~ para(X0,X1,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_35507,plain,
( para(sK24,sK25,sK21,sK27)
| ~ para(sK20,sK20,sK21,sK27)
| ~ para(sK24,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_35506]) ).
tcf(c_37141,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,sK21,sK27)
| ~ perp(X2,X3,sK21,sK27)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_37142,plain,
( para(sK20,sK20,sK21,sK27)
| ~ perp(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_37141]) ).
tcf(c_39865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,X1,X2,X3,sK26,sK26,sK25,sK25)
| ~ eqangle(sK26,sK26,sK25,sK25,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_39866,plain,
( eqangle(sK20,sK20,sK20,sK20,sK26,sK26,sK25,sK25)
| ~ eqangle(sK26,sK26,sK25,sK25,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_39865]) ).
tcf(c_40058,plain,
midp(sK26,sK25,sK24),
inference(superposition,[status(thm)],[c_170,c_59]) ).
tcf(c_40124,plain,
! [X0: $i,X1: $i] :
( para(sK25,X1,sK26,X0)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_7882,c_53]) ).
tcf(c_40126,plain,
! [X0: $i,X1: $i] :
( para(sK25,X1,sK24,X0)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7906,c_53]) ).
tcf(c_40925,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK24,X1,sK25)
| ~ midp(sK26,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7906,c_94]) ).
tcf(c_41004,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,X2,sK26,X0)
| ~ midp(X2,sK24,X1)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_40124,c_8998]) ).
tcf(c_41005,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,X0,sK24,X2)
| ~ midp(sK26,X2,X1)
| ~ midp(X0,sK24,X1) ),
inference(superposition,[status(thm)],[c_40126,c_8998]) ).
tcf(c_41009,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK24,X2,sK24,X1)
| ~ midp(sK26,X2,X0)
| ~ midp(sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7907,c_9000]) ).
tcf(c_41221,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,X1,sK22,X1,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_166,c_97]) ).
tcf(c_41347,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK22,X1,X0,sK22,sK23,sK22,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_41221,c_68]) ).
tcf(c_42311,plain,
! [X0: $i] :
( para(sK26,X0,sK26,sK26)
| ~ midp(X0,sK24,sK25) ),
inference(superposition,[status(thm)],[c_170,c_41004]) ).
tcf(c_42389,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(sK22,sK23,sK22,X1,X2,X3,X4,X5)
| ~ circle(sK20,sK22,X1,X0)
| ~ eqangle(X0,sK22,X0,X1,X2,X3,X4,X5) ),
inference(superposition,[status(thm)],[c_41221,c_70]) ).
tcf(c_42409,plain,
! [X0: $i] :
( para(sK26,sK26,sK24,X0)
| ~ midp(sK26,X0,sK25) ),
inference(superposition,[status(thm)],[c_170,c_41005]) ).
tcf(c_42414,plain,
! [X0: $i] :
( para(sK24,X0,sK24,sK24)
| ~ midp(sK26,X0,sK25) ),
inference(superposition,[status(thm)],[c_40058,c_41009]) ).
tcf(c_42426,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(sK26,sK26,X1,X2)
| ~ midp(sK26,X0,sK25)
| ~ para(sK24,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_42409,c_54]) ).
tcf(c_42595,plain,
! [X0: $i] :
( para(sK26,sK26,sK24,sK24)
| ~ midp(sK26,X0,sK25) ),
inference(superposition,[status(thm)],[c_42414,c_42426]) ).
tcf(c_43149,plain,
( midp(sK26,sK25,sK25)
| ~ midp(sK26,sK26,sK25)
| ~ midp(sK24,sK25,sK25) ),
inference(superposition,[status(thm)],[c_7849,c_40925]) ).
tcf(c_44190,plain,
! [X0: $i,X1: $i] :
( eqangle(sK22,sK23,sK22,X0,sK22,sK23,sK22,X0)
| ~ circle(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_41347,c_42389]) ).
tcf(c_46743,plain,
midp(sK26,sK25,sK25),
inference(global_subsumption_just,[status(thm)],[c_43149,c_170,c_7205,c_7207,c_7371,c_7849,c_11381,c_21769]) ).
tcf(c_46857,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK24,X3,X1,X2)
| ~ midp(X0,sK25,X3)
| ~ para(sK26,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_7994,c_54]) ).
tcf(c_50588,plain,
para(sK26,sK26,sK24,sK24),
inference(global_subsumption_just,[status(thm)],[c_42595,c_170,c_7205,c_11358]) ).
tcf(c_50593,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK26,X0,X1)
| ~ para(sK24,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_50588,c_54]) ).
tcf(c_50600,plain,
( para(sK26,sK26,sK20,sK20)
| ~ para(sK24,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_50593]) ).
tcf(c_62531,plain,
eqangle(sK22,sK23,sK22,sK27,sK22,sK23,sK22,sK27),
inference(superposition,[status(thm)],[c_172,c_44190]) ).
tcf(c_62949,plain,
eqangle(sK22,sK27,sK22,sK23,sK22,sK27,sK22,sK23),
inference(superposition,[status(thm)],[c_62531,c_67]) ).
tcf(c_64080,plain,
para(sK22,sK27,sK22,sK27),
inference(superposition,[status(thm)],[c_62949,c_87]) ).
tcf(c_64529,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK27,sK22,sK27) ),
inference(superposition,[status(thm)],[c_64080,c_113]) ).
tcf(c_64537,plain,
! [X0: $i] :
( midp(X0,sK27,sK27)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_64529,c_64080]) ).
tcf(c_64538,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_64537]) ).
tcf(c_71110,plain,
! [X0: $i,X1: $i] :
( para(sK24,X1,sK26,sK26)
| ~ midp(X0,sK24,sK25)
| ~ midp(X0,sK25,X1) ),
inference(superposition,[status(thm)],[c_42311,c_46857]) ).
tcf(c_71705,plain,
( para(sK24,sK25,sK26,sK26)
| ~ midp(sK26,sK24,sK25) ),
inference(superposition,[status(thm)],[c_46743,c_71110]) ).
tcf(c_71706,plain,
para(sK24,sK25,sK26,sK26),
inference(forward_subsumption_resolution,[status(thm)],[c_71705,c_170]) ).
tcf(c_71713,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK25,X0,X1)
| ~ para(sK26,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_71706,c_54]) ).
tcf(c_71717,plain,
( para(sK24,sK25,sK20,sK20)
| ~ para(sK26,sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_71713]) ).
tcf(c_74447,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK21,sK27)
| ~ cong(X0,sK27,X1,sK27)
| ~ cong(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_74448,plain,
( perp(sK20,sK20,sK21,sK27)
| ~ cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_74447]) ).
tcf(c_80737,plain,
! [X0: $i] :
( cong(X0,sK27,X0,sK27)
| ~ midp(X0,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_80738,plain,
( cong(sK20,sK27,sK20,sK27)
| ~ midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_80737]) ).
tcf(c_80739,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_80738,c_74448,c_71717,c_64538,c_50600,c_39866,c_37142,c_35507,c_33862,c_33504,c_30249,c_21474,c_21051,c_17393,c_17366,c_12216,c_12129,c_12104,c_9273,c_9269,c_8375,c_8366,c_7766,c_7751,c_7587,c_187,c_178,c_162,c_170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO646+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:34:46 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.40 Running first-order theorem proving
% 0.08/0.40 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.41
% 0.08/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.08/0.41
% 0.08/0.41 % Detected problem language: tptp
% 0.08/0.42 % Proving...
% 44.14/11.84 % SZS status Started for theBenchmark.p
% 44.14/11.84 % SZS status Theorem for theBenchmark.p
% 44.14/11.84
% 44.14/11.84 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 44.14/11.84
% 44.14/11.84 % ------ iProver source info
% 44.14/11.84
% 44.14/11.84 % git: date: 2026-07-19 20:42:38 +0200
% 44.14/11.84 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 44.14/11.84 % git: non_committed_changes: false
% 44.14/11.84
% 44.14/11.84 % ------ Parsing...
% 44.14/11.84 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 44.14/11.84
% 44.14/11.84 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 44.14/11.84
% 44.14/11.84 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 44.14/11.84
% 44.14/11.84 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 44.14/11.84 % ------ Proving...
% 44.14/11.84 % ------ Problem Properties
% 44.14/11.84
% 44.14/11.84 %
% 44.14/11.84 % clauses 123
% 44.14/11.84 % conjectures 11
% 44.14/11.84 % EPR 86
% 44.14/11.84 % Horn 113
% 44.14/11.84 % unary 11
% 44.14/11.84 % binary 37
% 44.14/11.84 % lits 339
% 44.14/11.84 % lits eq 4
% 44.14/11.84 % fd_pure 0
% 44.14/11.84 % fd_pseudo 0
% 44.14/11.84 % fd_cond 0
% 44.14/11.84 % fd_pseudo_cond 4
% 44.14/11.84 % AC symbols 0
% 44.14/11.84
% 44.14/11.84 % ------ Input Options Time Limit: Unbounded
% 44.14/11.84
% 44.14/11.84
% 44.14/11.84 % ------
% 44.14/11.84 % Current options:
% 44.14/11.84 % ------
% 44.14/11.84
% 44.14/11.84
% 44.14/11.84 %
% 44.14/11.84
% 44.14/11.84 % ------ Proving...
% 44.14/11.84 %
% 44.14/11.84
% 44.14/11.84 % SZS status Theorem for theBenchmark.p
% 44.14/11.84
% 44.14/11.84 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 44.14/11.84
% 44.14/11.84
%------------------------------------------------------------------------------