%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO652+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 : n005.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 01:21:45 PM UTC 2026
% Result : Theorem 126.71s 31.53s
% Output : CNFRefutation 126.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 28
% Syntax : Number of formulae : 203 ( 29 unt; 0 def)
% Number of atoms : 548 ( 4 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 575 ( 230 ~; 227 |; 89 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-5 aty)
% Number of variables : 790 ( 0 sgn 741 !; 49 ?; 272 :)
% 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(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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(f17,axiom,
! [X0,X1,X2,X3,X4] :
( ( cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cyclic(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f42,axiom,
! [X0,X1,X2,X3] :
( ( ~ coll(X2,X3,X0)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).
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(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(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( cyclic(X0,X1,X2,X3)
& cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X2,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(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(f87,axiom,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) )
=> para(X4,X5,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( ( circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11) )
=> para(X4,X5,X8,X9) ),
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(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(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(ennf_transformation,[],[f17]) ).
fof(f121,plain,
! [X0,X1,X2,X3,X4] :
( ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X2,X3,X4) ),
inference(flattening,[],[f120]) ).
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(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(f150,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f41]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f42]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f151]) ).
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(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(f174,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(ennf_transformation,[],[f54]) ).
fof(f175,plain,
! [X0,X1,X2,X3] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(flattening,[],[f174]) ).
fof(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f182,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(ennf_transformation,[],[f58]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(flattening,[],[f182]) ).
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(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(f234,plain,
! [X0,X1,X2,X3] :
? [X4] :
( ~ circle(X3,X0,X1,X2)
| perp(X4,X0,X0,X3) ),
inference(ennf_transformation,[],[f87]) ).
fof(f241,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(ennf_transformation,[],[f91]) ).
fof(f242,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(flattening,[],[f241]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11)
& ~ para(X4,X5,X8,X9) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21] :
( circle(X2,X1,X9,X21)
& coll(X1,X6,X9)
& circle(X2,X3,X8,X20)
& coll(X3,X7,X8)
& circle(X0,X1,X7,X19)
& coll(X1,X5,X7)
& circle(X0,X3,X6,X18)
& coll(X3,X4,X6)
& circle(X2,X1,X5,X17)
& circle(X2,X1,X4,X16)
& circle(X2,X1,X3,X15)
& circle(X0,X1,X3,X14)
& circle(X2,X1,X12,X13)
& circle(X0,X1,X10,X11)
& ~ para(X4,X5,X8,X9) ),
inference(flattening,[],[f249]) ).
fof(f262,plain,
! [X0,X1,X2,X3] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X4,sK11(X0,X1,X2,X3))],[f234]) ).
fof(f266,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X5,sK16(X0,X1,X2,X3,X4))],[f242]) ).
fof(f270,plain,
( circle(sK22,sK21,sK29,sK41)
& coll(sK21,sK26,sK29)
& circle(sK22,sK23,sK28,sK40)
& coll(sK23,sK27,sK28)
& circle(sK20,sK21,sK27,sK39)
& coll(sK21,sK25,sK27)
& circle(sK20,sK23,sK26,sK38)
& coll(sK23,sK24,sK26)
& circle(sK22,sK21,sK25,sK37)
& circle(sK22,sK21,sK24,sK36)
& circle(sK22,sK21,sK23,sK35)
& circle(sK20,sK21,sK23,sK34)
& circle(sK22,sK21,sK32,sK33)
& circle(sK20,sK21,sK30,sK31)
& ~ para(sK24,sK25,sK28,sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41]),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),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39),skolemize(X20,sK40),skolemize(X21,sK41)],[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(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(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f287,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(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(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(f311,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f312,plain,
! [X2,X3,X0,X1] :
( coll(X2,X3,X0)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f152]) ).
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(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(f324,plain,
! [X2,X3,X0,X1] :
( ~ coll(X3,X0,X2)
| ~ circle(X3,X0,X1,X2)
| perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f175]) ).
fof(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f328,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X2,X0,X0,X3) ),
inference(cnf_transformation,[],[f183]) ).
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(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(f370,plain,
! [X2,X3,X0,X1] :
( ~ circle(X3,X0,X1,X2)
| perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
inference(cnf_transformation,[],[f262]) ).
fof(f377,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1)
| perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f266]) ).
fof(f397,plain,
circle(sK20,sK21,sK30,sK31),
inference(cnf_transformation,[],[f270]) ).
fof(f398,plain,
~ para(sK24,sK25,sK28,sK29),
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_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_63,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f285]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f287]) ).
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_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_89,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f311]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X0,X3,X1)
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[],[f312]) ).
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_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_102,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X2,X2,X3)
| ~ coll(X0,X1,X3)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f324]) ).
tcf(c_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_106,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f328]) ).
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_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_148,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ~ circle(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f370]) ).
tcf(c_156,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4)
| ~ coll(X2,X3,X4)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f377]) ).
tcf(c_162,negated_conjecture,
~ para(sK24,sK25,sK28,sK29),
inference(cnf_transformation,[],[f398]) ).
tcf(c_163,negated_conjecture,
circle(sK20,sK21,sK30,sK31),
inference(cnf_transformation,[],[f397]) ).
tcf(c_2339,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK11(X1,X2,X3,X0),X1,X1,X0)
| ( X3 != sK31 )
| ( X2 != sK30 )
| ( X1 != sK21 )
| ( X0 != sK20 ) ),
inference(resolution_lifted,[status(thm)],[c_148,c_163]) ).
tcf(c_2340,plain,
perp(sK11(sK21,sK30,sK31,sK20),sK21,sK21,sK20),
inference(unflattening,[status(thm)],[c_2339]) ).
tcf(c_7051,negated_conjecture,
circle(sK20,sK21,sK30,sK31),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_7052,negated_conjecture,
~ para(sK24,sK25,sK28,sK29),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_10364,plain,
( perp(sK21,sK20,sK11(sK21,sK30,sK31,sK20),sK21)
| ~ perp(sK11(sK21,sK30,sK31,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_10365,plain,
( perp(sK11(sK21,sK30,sK31,sK20),sK21,sK20,sK21)
| ~ perp(sK11(sK21,sK30,sK31,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_13859,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,X0,X1),sK11(sK21,sK30,sK31,sK20),X0,X1)
| ~ coll(sK20,X0,X1)
| ~ perp(sK11(sK21,sK30,sK31,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_13860,plain,
( perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,sK21,sK21),sK11(sK21,sK30,sK31,sK20),sK21,sK21)
| ~ coll(sK20,sK21,sK21)
| ~ perp(sK11(sK21,sK30,sK31,sK20),sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_13859]) ).
tcf(c_23702,plain,
! [X0: $i,X1: $i] :
( coll(sK20,X0,X1)
| ~ para(sK20,X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_23711,plain,
( coll(sK20,sK21,sK21)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_23702]) ).
tcf(c_68412,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_69]) ).
tcf(c_70844,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X1,X0,X2)
| ~ coll(X0,X2,X1)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_68412,c_91]) ).
tcf(c_70845,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| cyclic(X1,X1,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_68412,c_90]) ).
tcf(c_70855,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X1,X0,X2)
| ~ para(X0,X1,X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_70845,c_70844]) ).
tcf(c_146117,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X3,X4,X5)
| ~ perp(X0,X3,sK11(X0,X1,X2,X3),X0)
| ~ perp(sK11(X0,X1,X2,X3),X0,X4,X5) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_153262,plain,
( para(sK21,sK20,sK20,sK21)
| ~ perp(sK21,sK20,sK11(sK21,sK30,sK31,sK20),sK21)
| ~ perp(sK11(sK21,sK30,sK31,sK20),sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_146117]) ).
tcf(c_156774,plain,
( para(sK20,sK21,sK21,sK20)
| ~ para(sK21,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_168840,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X2,X0)
| ~ cyclic(X0,X1,X2,X2) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_169047,plain,
( perp(sK21,sK30,sK30,sK31)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_7051,c_102]) ).
tcf(c_169149,plain,
( perp(sK30,sK31,sK21,sK30)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_169047,c_56]) ).
tcf(c_169341,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK30,X0,X1)
| ~ coll(sK20,sK21,sK31)
| ~ perp(sK30,sK31,X0,X1) ),
inference(superposition,[status(thm)],[c_169047,c_57]) ).
tcf(c_169572,plain,
( perp(sK30,sK31,sK30,sK21)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_169149,c_55]) ).
tcf(c_171298,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,X0,X1),sK11(sK21,sK30,sK31,sK20))
| ~ perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,X0,X1),sK11(sK21,sK30,sK31,sK20),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_171300,plain,
( perp(sK21,sK21,sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,sK21,sK21),sK11(sK21,sK30,sK31,sK20))
| ~ perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,sK21,sK21),sK11(sK21,sK30,sK31,sK20),sK21,sK21) ),
inference(instantiation,[status(thm)],[c_171298]) ).
tcf(c_171304,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,X0,X1),sK11(sK21,sK30,sK31,sK20))
| ~ perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,X0,X1),sK11(sK21,sK30,sK31,sK20),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_171305,plain,
( para(sK21,sK21,sK21,sK21)
| ~ perp(sK21,sK21,sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,sK21,sK21),sK11(sK21,sK30,sK31,sK20))
| ~ perp(sK16(sK11(sK21,sK30,sK31,sK20),sK20,sK21,sK21,sK21),sK11(sK21,sK30,sK31,sK20),sK21,sK21) ),
inference(instantiation,[status(thm)],[c_171304]) ).
tcf(c_177356,plain,
( para(sK21,sK30,sK30,sK21)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_169572,c_169341]) ).
tcf(c_180020,plain,
( para(sK30,sK21,sK21,sK30)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_177356,c_53]) ).
tcf(c_197430,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK20,X1)
| ~ para(sK20,X0,X1,sK20) ),
inference(instantiation,[status(thm)],[c_52]) ).
tcf(c_197431,plain,
( para(sK20,sK21,sK20,sK21)
| ~ para(sK20,sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_197430]) ).
tcf(c_261635,plain,
( para(sK30,sK21,sK30,sK21)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_180020,c_52]) ).
tcf(c_279150,plain,
! [X0: $i] :
( cyclic(sK21,sK21,sK30,X0)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_261635,c_70855]) ).
tcf(c_281678,plain,
! [X0: $i] :
( cyclic(sK21,sK30,sK21,X0)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_279150,c_63]) ).
tcf(c_301958,plain,
( para(sK21,sK21,sK21,sK21)
| ~ coll(sK20,sK21,sK31) ),
inference(superposition,[status(thm)],[c_281678,c_168840]) ).
tcf(c_342731,plain,
para(sK21,sK21,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_301958,c_2340,c_10365,c_10364,c_13860,c_23711,c_153262,c_156774,c_171300,c_171305,c_197431]) ).
tcf(c_342740,plain,
! [X0: $i] : cyclic(sK21,sK21,sK21,X0),
inference(superposition,[status(thm)],[c_342731,c_70855]) ).
tcf(c_343288,plain,
! [X0: $i,X1: $i] :
( cyclic(sK21,sK21,X1,X0)
| ~ cyclic(sK21,sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_342740,c_65]) ).
tcf(c_343293,plain,
! [X0: $i,X1: $i] : cyclic(sK21,sK21,X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[c_343288,c_342740]) ).
tcf(c_343295,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK21,X0,X2,X1)
| ~ cyclic(sK21,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_343293,c_65]) ).
tcf(c_343300,plain,
! [X0: $i,X1: $i,X2: $i] : cyclic(sK21,X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_343295,c_343293]) ).
tcf(c_343302,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(sK21,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_343300,c_65]) ).
tcf(c_343307,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : cyclic(X0,X1,X2,X3),
inference(forward_subsumption_resolution,[status(thm)],[c_343302,c_343300]) ).
tcf(c_343318,plain,
! [X0: $i,X1: $i] : para(X0,X1,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_168840,c_343307]) ).
tcf(c_343323,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(backward_subsumption_resolution,[status(thm)],[c_92,c_343307]) ).
tcf(c_343742,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_343318,c_115]) ).
tcf(c_343762,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_343742,c_50]) ).
tcf(c_344410,plain,
! [X0: $i,X1: $i] : coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_343762,c_49]) ).
tcf(c_344938,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_344410,c_51]) ).
tcf(c_344951,plain,
! [X0: $i,X1: $i,X2: $i] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_344938,c_344410]) ).
tcf(c_345770,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[c_116,c_344951]) ).
tcf(c_345774,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[c_94,c_344951]) ).
tcf(c_378272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : eqangle(X2,X0,X2,X1,X3,X0,X3,X1),
inference(global_subsumption_just,[status(thm)],[c_89,c_89,c_343307]) ).
tcf(c_378273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2),
inference(renaming,[status(thm)],[c_378272]) ).
tcf(c_378279,plain,
! [X0: $i,X1: $i] : para(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_378273,c_87]) ).
tcf(c_378298,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(global_subsumption_just,[status(thm)],[c_92,c_343323]) ).
tcf(c_378305,plain,
! [X0: $i,X1: $i] : cong(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_378273,c_378298]) ).
tcf(c_378329,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ para(X0,X1,X2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_94,c_345774]) ).
tcf(c_378338,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X2)
| ~ midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_378279,c_378329]) ).
tcf(c_378617,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cong(X0,X1,X2,X1)
| ~ cong(X0,X3,X2,X3) ),
inference(global_subsumption_just,[status(thm)],[c_106,c_63,c_106,c_343307]) ).
tcf(c_378618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(renaming,[status(thm)],[c_378617]) ).
tcf(c_378628,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,X0,X0,X1)
| ~ cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_378305,c_378618]) ).
tcf(c_378634,plain,
! [X0: $i,X1: $i,X2: $i] : perp(X0,X1,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_378628,c_378305]) ).
tcf(c_378815,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(global_subsumption_just,[status(thm)],[c_116,c_345770]) ).
tcf(c_378824,plain,
! [X0: $i,X1: $i] : midp(X0,X1,X1),
inference(superposition,[status(thm)],[c_378305,c_378815]) ).
tcf(c_378837,plain,
! [X0: $i,X1: $i] : midp(X0,X1,X0),
inference(superposition,[status(thm)],[c_378824,c_378338]) ).
tcf(c_378848,plain,
! [X0: $i,X1: $i] : midp(X0,X0,X1),
inference(superposition,[status(thm)],[c_378837,c_59]) ).
tcf(c_379100,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X2,X1)
| ~ midp(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_378634,c_104]) ).
tcf(c_379104,plain,
! [X0: $i,X1: $i,X2: $i] : cong(X0,X1,X0,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_379100,c_378848]) ).
tcf(c_379107,plain,
! [X0: $i,X1: $i,X2: $i] : midp(X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[c_378815,c_379104]) ).
tcf(c_379115,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : para(X0,X1,X2,X3),
inference(backward_subsumption_resolution,[status(thm)],[c_112,c_379107]) ).
tcf(c_379118,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_7052,c_379115]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO652+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/5.38 % Computer : n005.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Wed Sep 23 12:40:23 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/5.42 Running first-order theorem proving
% 0.13/5.42 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
% 0.13/5.43
% 0.13/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.13/5.43
% 0.13/5.43 % Detected problem language: tptp
% 0.13/5.44 % Proving...
% 126.71/31.53 % SZS status Started for theBenchmark.p
% 126.71/31.53 % SZS status Theorem for theBenchmark.p
% 126.71/31.53
% 126.71/31.53 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 126.71/31.53
% 126.71/31.53 % ------ iProver source info
% 126.71/31.53
% 126.71/31.53 % git: date: 2026-07-19 20:42:38 +0200
% 126.71/31.53 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 126.71/31.53 % git: non_committed_changes: false
% 126.71/31.53
% 126.71/31.53 % ------ Parsing...
% 126.71/31.53 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 126.71/31.53
% 126.71/31.53 % ------ 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 %
% 126.71/31.53
% 126.71/31.53 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 126.71/31.53
% 126.71/31.53 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 126.71/31.53 % ------ Proving...
% 126.71/31.53 % ------ Problem Properties
% 126.71/31.53
% 126.71/31.53 %
% 126.71/31.53 % clauses 127
% 126.71/31.53 % conjectures 15
% 126.71/31.53 % EPR 90
% 126.71/31.53 % Horn 117
% 126.71/31.53 % unary 15
% 126.71/31.53 % binary 37
% 126.71/31.53 % lits 343
% 126.71/31.53 % lits eq 4
% 126.71/31.53 % fd_pure 0
% 126.71/31.53 % fd_pseudo 0
% 126.71/31.53 % fd_cond 0
% 126.71/31.53 % fd_pseudo_cond 4
% 126.71/31.53 % AC symbols 0
% 126.71/31.53
% 126.71/31.53 % ------ Schedule dynamic 5 is on
% 126.71/31.53
% 126.71/31.53 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 % ------
% 126.71/31.53 % Current options:
% 126.71/31.53 % ------
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 %
% 126.71/31.53
% 126.71/31.53 % ------ Proving...
% 126.71/31.53 % Proof_search_loop: time out after: 8534 full_loop iterations
% 126.71/31.53
% 126.71/31.53 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 % ------
% 126.71/31.53 % Current options:
% 126.71/31.53 % ------
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 %
% 126.71/31.53
% 126.71/31.53 % ------ Proving...
% 126.71/31.53 % Proof_search_loop: time out after: 7737 full_loop iterations
% 126.71/31.53
% 126.71/31.53 % ------ Option_1: Negative Selections Time Limit: 35.
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 % ------
% 126.71/31.53 % Current options:
% 126.71/31.53 % ------
% 126.71/31.53
% 126.71/31.53
% 126.71/31.53 %
% 126.71/31.53
% 126.71/31.53 % ------ Proving...
% 126.71/31.53 %
% 126.71/31.53
% 126.71/31.53 % SZS status Theorem for theBenchmark.p
% 126.71/31.53
% 126.71/31.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 126.71/31.53
% 126.71/31.53
%------------------------------------------------------------------------------