%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO589+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n020.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 01:21:34 PM UTC 2026
% Result : Theorem 29.17s 7.85s
% Output : CNFRefutation 29.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 31
% Syntax : Number of formulae : 284 ( 65 unt; 0 def)
% Number of atoms : 644 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 653 ( 293 ~; 287 |; 41 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 1 ( 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 : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 803 ( 0 sgn 787 !; 16 ?; 269 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( para(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f20,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(f54,axiom,
! [X0,X1,X2,X3] :
( ( coll(X3,X0,X2)
& circle(X3,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD74) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X1,X5,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416051) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X1,X5,X0,X2) ),
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(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
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(f128,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f23]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
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(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(f161,plain,
! [X0,X1,X2] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(ennf_transformation,[],[f47]) ).
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(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(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(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(f210,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f75]) ).
fof(f211,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f210]) ).
fof(f249,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2)
& ~ para(X1,X5,X0,X2) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X5,X4,X3)
& circle(X3,X4,X5,X7)
& circle(X3,X0,X4,X6)
& perp(X0,X2,X1,X4)
& circle(X3,X0,X1,X2)
& ~ para(X1,X5,X0,X2) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK25,sK24,sK23)
& circle(sK23,sK24,sK25,sK27)
& circle(sK23,sK20,sK24,sK26)
& perp(sK20,sK22,sK21,sK24)
& circle(sK23,sK20,sK21,sK22)
& ~ para(sK21,sK25,sK20,sK22) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27)],[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(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(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(f293,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f128]) ).
fof(f294,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f129]) ).
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(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(f317,plain,
! [X2,X0,X1] :
( ~ cong(X2,X0,X2,X1)
| eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f161]) ).
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(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(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(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(f345,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f211]) ).
fof(f386,plain,
circle(sK23,sK20,sK24,sK26),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
~ para(sK21,sK25,sK20,sK22),
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_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
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_71,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f294]) ).
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_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_95,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X1,X2,X1,X2,X0,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f317]) ).
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_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_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_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_123,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f345]) ).
tcf(c_162,negated_conjecture,
~ para(sK21,sK25,sK20,sK22),
inference(cnf_transformation,[],[f389]) ).
tcf(c_163,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f388]) ).
tcf(c_164,negated_conjecture,
perp(sK20,sK22,sK21,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_165,negated_conjecture,
circle(sK23,sK20,sK24,sK26),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,plain,
( coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_173,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_177,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_198,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_231,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_6745,plain,
perp(sK20,sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_6761,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_6762,plain,
perp(sK24,sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_6745,c_56]) ).
tcf(c_6764,plain,
perp(sK21,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_6761,c_55]) ).
tcf(c_6775,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
tcf(c_6776,plain,
perp(sK22,sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_6764,c_56]) ).
tcf(c_6802,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X0,X1)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6775,c_72]) ).
tcf(c_6810,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X2,X0,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6802,c_71]) ).
tcf(c_6817,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X1,X0,X2,X0)
| ~ midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6810,c_72]) ).
tcf(c_7169,plain,
! [X0: $i,X1: $i] :
( midp(X0,X1,X1)
| ~ midp(X1,X0,X0)
| ~ coll(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_6817,c_116]) ).
tcf(c_7253,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_7254,plain,
( perp(sK20,sK24,sK24,sK26)
| ~ coll(sK23,sK20,sK26) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_7292,plain,
( perp(sK21,sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7253,c_56]) ).
tcf(c_7293,plain,
( perp(sK20,sK21,sK22,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7253,c_55]) ).
tcf(c_7369,plain,
( cong(sK21,sK20,sK21,sK21)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7292,c_104]) ).
tcf(c_7371,plain,
( perp(sK21,sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7292,c_55]) ).
tcf(c_7375,plain,
( perp(sK22,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7293,c_56]) ).
tcf(c_7421,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ perp(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_164,c_57]) ).
tcf(c_7423,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK24,X0,X1)
| ~ coll(sK23,sK20,sK26)
| ~ perp(sK24,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7254,c_57]) ).
tcf(c_7426,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6761,c_57]) ).
tcf(c_7427,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK21,X0,X1)
| ~ perp(sK20,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_6762,c_57]) ).
tcf(c_7428,plain,
! [X0: $i,X1: $i] :
( para(sK21,sK24,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_6764,c_57]) ).
tcf(c_7430,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6776,c_57]) ).
tcf(c_10027,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_10067,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_10027,c_7421]) ).
tcf(c_12650,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_10067,c_113]) ).
tcf(c_12658,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_12650,c_10067]) ).
tcf(c_12661,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_12658]) ).
tcf(c_14843,plain,
para(sK21,sK24,sK21,sK24),
inference(superposition,[status(thm)],[c_164,c_7426]) ).
tcf(c_14889,plain,
perp(sK20,sK22,sK24,sK21),
inference(superposition,[status(thm)],[c_164,c_55]) ).
tcf(c_14892,plain,
perp(sK21,sK24,sK20,sK22),
inference(superposition,[status(thm)],[c_164,c_56]) ).
tcf(c_14928,plain,
perp(sK21,sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_14892,c_55]) ).
tcf(c_14929,plain,
para(sK20,sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_14892,c_7421]) ).
tcf(c_14935,plain,
para(sK20,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_14928,c_7421]) ).
tcf(c_14938,plain,
coll(sK20,sK22,sK22),
inference(superposition,[status(thm)],[c_14929,c_115]) ).
tcf(c_14939,plain,
para(sK22,sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_14935,c_53]) ).
tcf(c_15019,plain,
para(sK24,sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_14889,c_7427]) ).
tcf(c_15069,plain,
( perp(sK20,sK21,sK21,sK22)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
tcf(c_15070,plain,
( perp(sK20,sK24,sK24,sK26)
| ~ coll(sK23,sK20,sK26) ),
inference(superposition,[status(thm)],[c_165,c_102]) ).
tcf(c_15090,plain,
( perp(sK20,sK21,sK22,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_15069,c_55]) ).
tcf(c_15094,plain,
( perp(sK24,sK26,sK20,sK24)
| ~ coll(sK23,sK20,sK26) ),
inference(superposition,[status(thm)],[c_15070,c_56]) ).
tcf(c_15115,plain,
( para(sK20,sK24,sK20,sK24)
| ~ coll(sK23,sK20,sK26) ),
inference(superposition,[status(thm)],[c_15094,c_7423]) ).
tcf(c_15149,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK22,X0,X1)
| ~ para(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_14935,c_54]) ).
tcf(c_15174,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK22,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_14935,c_58]) ).
tcf(c_15247,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X0,X2,X1)
| ~ midp(X0,X2,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_105]) ).
tcf(c_15351,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X2,X3,X4,X5,X0,X1,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_68]) ).
tcf(c_15479,plain,
( cong(sK21,sK21,sK21,sK20)
| ~ midp(sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7371,c_104]) ).
tcf(c_15486,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7375,c_104]) ).
tcf(c_15647,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK24,X0,sK24)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_15019,c_94]) ).
tcf(c_15650,plain,
! [X0: $i] :
( midp(sK20,X0,sK22)
| ~ midp(sK22,X0,sK20)
| ~ coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_14939,c_94]) ).
tcf(c_15656,plain,
! [X0: $i] :
( midp(sK24,X0,sK24)
| ~ coll(sK23,sK20,sK26)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK24,X0,sK24) ),
inference(superposition,[status(thm)],[c_15115,c_94]) ).
tcf(c_15757,plain,
( midp(sK20,sK22,sK22)
| ~ midp(sK22,sK22,sK20) ),
inference(superposition,[status(thm)],[c_14938,c_15650]) ).
tcf(c_15773,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X4,X5,X2,X3,X4,X5,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_15351,c_67]) ).
tcf(c_15794,plain,
( cong(sK21,sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7369,c_72]) ).
tcf(c_16037,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK21,sK21)
| ~ para(sK21,sK24,sK21,sK24) ),
inference(superposition,[status(thm)],[c_14843,c_113]) ).
tcf(c_16054,plain,
! [X0: $i] :
( midp(X0,sK24,sK24)
| ~ midp(X0,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16037,c_14843]) ).
tcf(c_16077,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_15479,c_116]) ).
tcf(c_16093,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_15486,c_116]) ).
tcf(c_16179,plain,
! [X0: $i,X1: $i,X2: $i] :
( para(X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1)
| ~ para(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_95,c_122]) ).
tcf(c_16198,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X2,X0,X0,X1)
| ~ cong(X2,X0,X2,X1)
| ~ perp(X0,X1,X2,X1) ),
inference(superposition,[status(thm)],[c_95,c_123]) ).
tcf(c_16405,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_15773,c_87]) ).
tcf(c_16413,plain,
! [X0: $i,X1: $i] : para(X0,X1,X0,X1),
inference(superposition,[status(thm)],[c_14843,c_16405]) ).
tcf(c_16434,plain,
para(sK20,sK20,sK20,sK20),
inference(instantiation,[status(thm)],[c_16413]) ).
tcf(c_16442,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,X1,X1)
| ~ midp(X2,X0,X0)
| ~ para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_16413,c_113]) ).
tcf(c_16448,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_16413,c_115]) ).
tcf(c_16451,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X2)
| ~ midp(X0,X1,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_16442,c_16413]) ).
tcf(c_16453,plain,
! [X0: $i,X1: $i] :
( midp(X1,X0,X0)
| ~ midp(X0,X1,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[c_7169,c_16448]) ).
tcf(c_16489,plain,
! [X0: $i,X1: $i] : coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_16448,c_50]) ).
tcf(c_16513,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK24,X0,sK24) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15647,c_16489]) ).
tcf(c_16515,plain,
! [X0: $i] :
( midp(sK24,X0,sK24)
| ~ coll(sK23,sK20,sK26)
| ~ midp(sK20,X0,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15656,c_16489]) ).
tcf(c_16523,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_16513]) ).
tcf(c_16687,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_15794,c_116]) ).
tcf(c_21528,plain,
! [X0: $i,X1: $i,X2: $i] :
( perp(X0,X0,X2,X1)
| ~ midp(X0,X2,X2)
| ~ midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_117,c_15247]) ).
tcf(c_23089,plain,
! [X0: $i,X1: $i] : coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_16489,c_49]) ).
tcf(c_23110,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21)
| ~ coll(sK23,sK20,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16687,c_23089]) ).
tcf(c_23113,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK21,sK20)
| ~ coll(sK23,sK20,sK22) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16077,c_23089]) ).
tcf(c_23325,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,X1,X0)
| ~ coll(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_23089,c_51]) ).
tcf(c_23330,plain,
! [X0: $i,X1: $i,X2: $i] : coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_23325,c_23089]) ).
tcf(c_23372,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK21,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_23113,c_23330]) ).
tcf(c_23374,plain,
( midp(sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_23110,c_23330]) ).
tcf(c_23822,plain,
! [X0: $i] :
( midp(sK24,X0,sK24)
| ~ midp(sK20,X0,sK20) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16515,c_23330]) ).
tcf(c_23867,plain,
( midp(sK22,sK20,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_16093,c_23330]) ).
tcf(c_24108,plain,
( cong(sK21,sK21,sK21,sK20)
| ~ midp(sK22,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15794,c_23330]) ).
tcf(c_24119,plain,
( cong(sK22,sK20,sK22,sK21)
| ~ midp(sK21,sK20,sK21) ),
inference(backward_subsumption_resolution,[status(thm)],[c_15486,c_23330]) ).
tcf(c_24180,plain,
perp(sK20,sK21,sK22,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_15090,c_23330]) ).
tcf(c_24198,plain,
( midp(sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23822]) ).
tcf(c_25585,plain,
midp(sK21,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_23372,c_170,c_173,c_177,c_198,c_231,c_16434,c_16523,c_23867,c_24198,c_23374]) ).
tcf(c_25590,plain,
midp(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_25585,c_59]) ).
tcf(c_25591,plain,
cong(sK22,sK20,sK22,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_24119,c_25590]) ).
tcf(c_25594,plain,
midp(sK22,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_23867,c_25590]) ).
tcf(c_25603,plain,
cong(sK21,sK21,sK21,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_24108,c_25594]) ).
tcf(c_25801,plain,
( perp(sK22,sK20,sK20,sK21)
| ~ perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_25591,c_16198]) ).
tcf(c_25803,plain,
perp(sK22,sK20,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_25801,c_24180]) ).
tcf(c_25837,plain,
( para(sK21,sK21,sK21,sK20)
| ~ para(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_25603,c_16179]) ).
tcf(c_25838,plain,
para(sK21,sK21,sK21,sK20),
inference(forward_subsumption_resolution,[status(thm)],[c_25837,c_16413]) ).
tcf(c_25863,plain,
para(sK21,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_25838,c_52]) ).
tcf(c_26138,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK21,sK20)
| ~ para(sK21,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_25863,c_113]) ).
tcf(c_26143,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK21,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26138,c_25863]) ).
tcf(c_26595,plain,
perp(sK22,sK20,sK21,sK20),
inference(superposition,[status(thm)],[c_25803,c_55]) ).
tcf(c_26599,plain,
perp(sK20,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_25803,c_15174]) ).
tcf(c_26630,plain,
perp(sK20,sK22,sK21,sK20),
inference(superposition,[status(thm)],[c_26595,c_15174]) ).
tcf(c_26631,plain,
para(sK21,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_26595,c_7428]) ).
tcf(c_26681,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26599,c_104]) ).
tcf(c_26684,plain,
para(sK24,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_26599,c_7427]) ).
tcf(c_26686,plain,
cong(sK20,sK20,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_26681,c_25594]) ).
tcf(c_26703,plain,
para(sK24,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_26630,c_7427]) ).
tcf(c_26709,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK24,X0,X1)
| ~ perp(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_26631,c_58]) ).
tcf(c_26739,plain,
( para(sK20,sK20,sK20,sK21)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26686,c_16179]) ).
tcf(c_26740,plain,
para(sK20,sK20,sK20,sK21),
inference(forward_subsumption_resolution,[status(thm)],[c_26739,c_16413]) ).
tcf(c_26960,plain,
para(sK20,sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_26740,c_53]) ).
tcf(c_26967,plain,
! [X0: $i,X1: $i] :
( perp(sK24,sK21,X0,X1)
| ~ perp(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_26684,c_58]) ).
tcf(c_26979,plain,
para(sK21,sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_26703,c_53]) ).
tcf(c_26997,plain,
! [X0: $i] :
( midp(X0,sK21,sK20)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26960,c_113]) ).
tcf(c_26998,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(sK20,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_26960,c_58]) ).
tcf(c_27003,plain,
! [X0: $i] :
( midp(X0,sK21,sK20)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_26997,c_26740]) ).
tcf(c_27072,plain,
midp(sK20,sK22,sK22),
inference(global_subsumption_just,[status(thm)],[c_15757,c_170,c_173,c_177,c_198,c_231,c_12661,c_16434]) ).
tcf(c_27079,plain,
! [X0: $i] : midp(sK20,X0,X0),
inference(superposition,[status(thm)],[c_27072,c_16451]) ).
tcf(c_27129,plain,
! [X0: $i,X1: $i] :
( perp(sK21,sK20,X0,X1)
| ~ perp(sK24,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_26979,c_58]) ).
tcf(c_27140,plain,
! [X0: $i] : midp(X0,sK20,sK20),
inference(superposition,[status(thm)],[c_27079,c_16453]) ).
tcf(c_27146,plain,
! [X0: $i] : midp(X0,sK21,sK20),
inference(backward_subsumption_resolution,[status(thm)],[c_27003,c_27140]) ).
tcf(c_27152,plain,
! [X0: $i] : midp(X0,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_26143,c_27146]) ).
tcf(c_27157,plain,
! [X0: $i] : midp(X0,sK24,sK24),
inference(backward_subsumption_resolution,[status(thm)],[c_16054,c_27152]) ).
tcf(c_27206,plain,
! [X0: $i,X1: $i] : midp(X0,X1,X1),
inference(superposition,[status(thm)],[c_27157,c_16451]) ).
tcf(c_27215,plain,
! [X0: $i,X1: $i,X2: $i] : perp(X0,X0,X1,X2),
inference(backward_subsumption_resolution,[status(thm)],[c_21528,c_27206]) ).
tcf(c_27217,plain,
! [X0: $i,X1: $i] : perp(sK20,sK21,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_26998,c_27215]) ).
tcf(c_27231,plain,
! [X0: $i,X1: $i] : perp(sK24,sK21,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_26967,c_27217]) ).
tcf(c_27247,plain,
! [X0: $i,X1: $i] : perp(sK21,sK20,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_27129,c_27231]) ).
tcf(c_27253,plain,
! [X0: $i,X1: $i] : perp(sK21,sK24,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_26709,c_27247]) ).
tcf(c_27266,plain,
! [X0: $i,X1: $i] : para(sK22,sK20,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_7430,c_27253]) ).
tcf(c_27270,plain,
! [X0: $i,X1: $i] : para(sK20,sK22,X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[c_15149,c_27266]) ).
tcf(c_27744,plain,
! [X0: $i,X1: $i] : para(X0,X1,sK20,sK22),
inference(superposition,[status(thm)],[c_27270,c_53]) ).
tcf(c_27747,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_162,c_27744]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO589+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 12:30:03 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 29.17/7.85 % SZS status Started for theBenchmark.p
% 29.17/7.85 % SZS status Theorem for theBenchmark.p
% 29.17/7.85
% 29.17/7.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 29.17/7.85
% 29.17/7.85 % ------ iProver source info
% 29.17/7.85
% 29.17/7.85 % git: date: 2026-07-19 20:42:38 +0200
% 29.17/7.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 29.17/7.85 % git: non_committed_changes: false
% 29.17/7.85
% 29.17/7.85 % ------ Parsing...
% 29.17/7.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 29.17/7.85
% 29.17/7.85 % ------ 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 %
% 29.17/7.85
% 29.17/7.85 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 29.17/7.85
% 29.17/7.85 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 29.17/7.85 % ------ Proving...
% 29.17/7.85 % ------ Problem Properties
% 29.17/7.85
% 29.17/7.85 %
% 29.17/7.85 % clauses 118
% 29.17/7.85 % conjectures 6
% 29.17/7.85 % EPR 81
% 29.17/7.85 % Horn 108
% 29.17/7.85 % unary 6
% 29.17/7.85 % binary 37
% 29.17/7.85 % lits 334
% 29.17/7.85 % lits eq 4
% 29.17/7.85 % fd_pure 0
% 29.17/7.85 % fd_pseudo 0
% 29.17/7.85 % fd_cond 0
% 29.17/7.85 % fd_pseudo_cond 4
% 29.17/7.85 % AC symbols 0
% 29.17/7.85
% 29.17/7.85 % ------ Input Options Time Limit: Unbounded
% 29.17/7.85
% 29.17/7.85
% 29.17/7.85 % ------
% 29.17/7.85 % Current options:
% 29.17/7.85 % ------
% 29.17/7.85
% 29.17/7.85
% 29.17/7.85 %
% 29.17/7.85
% 29.17/7.85 % ------ Proving...
% 29.17/7.85 %
% 29.17/7.85
% 29.17/7.85 % SZS status Theorem for theBenchmark.p
% 29.17/7.85
% 29.17/7.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 29.17/7.85
% 29.17/7.85
%------------------------------------------------------------------------------