%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO653+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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:45 PM UTC 2026
% Result : Theorem 58.69s 21.48s
% Output : CNFRefutation 58.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 211 ( 25 unt; 0 def)
% Number of atoms : 534 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 568 ( 245 ~; 239 |; 57 &)
% ( 0 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 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 : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 684 ( 0 sgn 668 !; 16 ?; 213 :)
% 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(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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( 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(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(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(X7,X2,X5)
& coll(X7,X1,X4)
& coll(X6,X0,X4)
& coll(X6,X3,X5)
& coll(X5,X0,X1)
& para(X0,X3,X5,X4)
& coll(X4,X2,X3)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X6,X7,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0227) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( coll(X7,X2,X5)
& coll(X7,X1,X4)
& coll(X6,X0,X4)
& coll(X6,X3,X5)
& coll(X5,X0,X1)
& para(X0,X3,X5,X4)
& coll(X4,X2,X3)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3) )
=> para(X6,X7,X0,X1) ),
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(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(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(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(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(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(f172,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(ennf_transformation,[],[f53]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(flattening,[],[f172]) ).
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(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(X7,X2,X5)
& coll(X7,X1,X4)
& coll(X6,X0,X4)
& coll(X6,X3,X5)
& coll(X5,X0,X1)
& para(X0,X3,X5,X4)
& coll(X4,X2,X3)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3)
& ~ para(X6,X7,X0,X1) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( coll(X7,X2,X5)
& coll(X7,X1,X4)
& coll(X6,X0,X4)
& coll(X6,X3,X5)
& coll(X5,X0,X1)
& para(X0,X3,X5,X4)
& coll(X4,X2,X3)
& para(X0,X2,X1,X3)
& para(X0,X1,X2,X3)
& ~ para(X6,X7,X0,X1) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK27,sK22,sK25)
& coll(sK27,sK21,sK24)
& coll(sK26,sK20,sK24)
& coll(sK26,sK23,sK25)
& coll(sK25,sK20,sK21)
& para(sK20,sK23,sK25,sK24)
& coll(sK24,sK22,sK23)
& para(sK20,sK22,sK21,sK23)
& para(sK20,sK21,sK22,sK23)
& ~ para(sK26,sK27,sK20,sK21) ),
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(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(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
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(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(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(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(f323,plain,
! [X2,X3,X0,X1] :
( ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2)
| cong(X0,X3,X1,X3) ),
inference(cnf_transformation,[],[f173]) ).
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(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(f385,plain,
coll(sK27,sK21,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f393,plain,
~ para(sK26,sK27,sK20,sK21),
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_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_64,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f286]) ).
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_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_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_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_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X3,X1,X3)
| ~ midp(X3,X0,X2)
| ~ perp(X0,X1,X1,X2) ),
inference(cnf_transformation,[],[f323]) ).
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_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(sK26,sK27,sK20,sK21),
inference(cnf_transformation,[],[f393]) ).
tcf(c_163,negated_conjecture,
para(sK20,sK21,sK22,sK23),
inference(cnf_transformation,[],[f392]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK21),
inference(cnf_transformation,[],[f388]) ).
tcf(c_169,negated_conjecture,
coll(sK26,sK20,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_170,negated_conjecture,
coll(sK27,sK21,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_177,plain,
( midp(sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_186,plain,
( perp(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_4294,negated_conjecture,
coll(sK27,sK21,sK24),
inference(demodulation,[status(thm)],[c_170]) ).
tcf(c_4295,negated_conjecture,
coll(sK26,sK20,sK24),
inference(demodulation,[status(thm)],[c_169]) ).
tcf(c_4297,negated_conjecture,
coll(sK25,sK20,sK21),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4301,negated_conjecture,
para(sK20,sK21,sK22,sK23),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_5817,plain,
coll(sK25,sK21,sK20),
inference(superposition,[status(thm)],[c_4297,c_49]) ).
tcf(c_5829,plain,
coll(sK20,sK26,sK24),
inference(superposition,[status(thm)],[c_4295,c_50]) ).
tcf(c_5908,plain,
para(sK22,sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_4301,c_53]) ).
tcf(c_6008,plain,
! [X0: $i] :
( coll(sK24,X0,sK27)
| ~ coll(sK27,sK21,X0) ),
inference(superposition,[status(thm)],[c_4294,c_51]) ).
tcf(c_6011,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_5817,c_51]) ).
tcf(c_6019,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_5829,c_51]) ).
tcf(c_6218,plain,
coll(sK24,sK24,sK27),
inference(superposition,[status(thm)],[c_4294,c_6008]) ).
tcf(c_6219,plain,
! [X0: $i] :
( coll(sK27,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_6218,c_51]) ).
tcf(c_6310,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5817,c_6011]) ).
tcf(c_6313,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_6310,c_49]) ).
tcf(c_6514,plain,
! [X0: $i] :
( coll(sK20,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_6313,c_51]) ).
tcf(c_6520,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_6514]) ).
tcf(c_6556,plain,
coll(sK24,sK24,sK20),
inference(superposition,[status(thm)],[c_5829,c_6019]) ).
tcf(c_6568,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1)
| ~ para(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_6569,plain,
( eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20)
| ~ para(sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6568]) ).
tcf(c_6632,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ para(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4301,c_54]) ).
tcf(c_6817,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_5908,c_6632]) ).
tcf(c_6854,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X2,X3)
| ~ para(sK20,sK21,sK22,sK23)
| ~ eqangle(X0,X1,X2,X3,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_6855,plain,
( para(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_6854]) ).
tcf(c_7313,plain,
coll(sK27,sK20,sK24),
inference(superposition,[status(thm)],[c_6556,c_6219]) ).
tcf(c_7930,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_7943,plain,
( cyclic(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7930]) ).
tcf(c_7946,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1)
| ~ eqangle(sK20,sK21,X0,X1,sK22,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_7953,plain,
( eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20)
| ~ eqangle(sK20,sK21,sK20,sK20,sK22,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7946]) ).
tcf(c_9332,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20)
| ~ para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6817,c_113]) ).
tcf(c_9377,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9332,c_6817]) ).
tcf(c_9460,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9377]) ).
tcf(c_10243,plain,
coll(sK27,sK24,sK20),
inference(superposition,[status(thm)],[c_7313,c_49]) ).
tcf(c_13471,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_13507,plain,
( cong(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_13471]) ).
tcf(c_13658,plain,
! [X0: $i] :
( coll(sK20,X0,sK27)
| ~ coll(sK27,sK24,X0) ),
inference(superposition,[status(thm)],[c_10243,c_51]) ).
tcf(c_13664,plain,
( coll(sK20,sK20,sK27)
| ~ coll(sK27,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_13658]) ).
tcf(c_19925,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,X1,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_19930,plain,
( eqangle(sK20,sK20,sK20,sK20,sK20,sK21,sK22,sK23)
| ~ eqangle(sK20,sK21,sK22,sK23,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_19925]) ).
tcf(c_30429,plain,
! [X0: $i,X1: $i] :
( perp(sK20,sK21,X0,X1)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_30430,plain,
( perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_30429]) ).
tcf(c_30836,plain,
! [X0: $i,X1: $i] :
( para(sK26,sK27,sK20,sK21)
| ~ perp(sK26,sK27,X0,X1)
| ~ perp(X0,X1,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30837,plain,
( para(sK26,sK27,sK20,sK21)
| ~ perp(sK20,sK20,sK20,sK21)
| ~ perp(sK26,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30836]) ).
tcf(c_30840,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK20,sK21,X2,X3)
| ~ perp(sK20,sK21,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_30841,plain,
( para(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30840]) ).
tcf(c_72322,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK20,sK21)
| ~ cong(X0,sK21,X1,sK21)
| ~ cong(X0,sK20,X1,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_72323,plain,
( perp(sK20,sK20,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_72322]) ).
tcf(c_78161,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X2,sK27,sK27)
| ~ midp(X2,X0,X1)
| ~ para(X0,sK27,X1,sK27) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_78162,plain,
( midp(sK20,sK27,sK27)
| ~ midp(sK20,sK20,sK20)
| ~ para(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_78161]) ).
tcf(c_100925,plain,
! [X0: $i] :
( cong(X0,sK21,X0,sK21)
| ~ midp(X0,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
tcf(c_100926,plain,
( cong(sK20,sK21,sK20,sK21)
| ~ midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_100925]) ).
tcf(c_102388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,sK27,X3,sK27)
| ~ eqangle(X0,sK27,X1,X2,X3,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_87]) ).
tcf(c_102389,plain,
( para(sK20,sK27,sK20,sK27)
| ~ eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_102388]) ).
tcf(c_127492,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK27,X0,X1)
| ~ cong(sK26,X1,sK27,X1)
| ~ cong(sK26,X0,sK27,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_127493,plain,
( perp(sK26,sK27,sK20,sK20)
| ~ cong(sK26,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_127492]) ).
tcf(c_138713,plain,
! [X0: $i] :
( cong(sK26,X0,sK27,X0)
| ~ cong(sK27,X0,sK26,X0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_138714,plain,
( cong(sK26,sK20,sK27,sK20)
| ~ cong(sK27,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_138713]) ).
tcf(c_151702,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(sK26,sK27,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(sK26,sK27,X0,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_151704,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK27,X1,X0)
| ~ perp(sK26,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_151801,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK26,sK27,sK20,sK21,X2,X3,X0,X1)
| ~ eqangle(sK20,sK21,sK26,sK27,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_152833,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK26,sK27)
| ~ perp(sK26,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_153654,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK21,sK26,sK27,X0,X1,sK26,sK27)
| ~ para(sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_153656,plain,
( eqangle(sK20,sK21,sK26,sK27,sK20,sK20,sK26,sK27)
| ~ para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_153654]) ).
tcf(c_154672,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK26,sK27,X0,X1,sK20,sK21,X2,X3)
| ~ eqangle(sK26,sK27,sK20,sK21,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_155594,plain,
( perp(sK26,sK27,sK27,sK26)
| ~ perp(sK26,sK27,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_151704]) ).
tcf(c_158841,plain,
! [X0: $i,X1: $i] :
( cong(sK27,X1,sK26,X1)
| ~ midp(X1,sK27,X0)
| ~ perp(sK27,sK26,sK26,X0) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_159184,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK27,sK20,sK21,sK26,sK27,X0,X1)
| ~ eqangle(sK20,sK21,sK26,sK27,X0,X1,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_151801]) ).
tcf(c_159186,plain,
( eqangle(sK26,sK27,sK20,sK21,sK26,sK27,sK20,sK20)
| ~ eqangle(sK20,sK21,sK26,sK27,sK20,sK20,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_159184]) ).
tcf(c_169245,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK27,sK26,sK27,sK20,sK21,X0,X1)
| ~ eqangle(sK26,sK27,sK20,sK21,sK26,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_154672]) ).
tcf(c_169256,plain,
( eqangle(sK26,sK27,sK26,sK27,sK20,sK21,sK20,sK20)
| ~ eqangle(sK26,sK27,sK20,sK21,sK26,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_169245]) ).
tcf(c_171125,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK27,X0,X1,X0,sK27)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_171127,plain,
( eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_171125]) ).
tcf(c_188933,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK27,X0,X1)
| ~ coll(X0,X1,sK27)
| ~ eqangle(X0,X0,X0,sK27,X1,X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_188934,plain,
( cyclic(sK20,sK27,sK20,sK20)
| ~ coll(sK20,sK20,sK27)
| ~ eqangle(sK20,sK20,sK20,sK27,sK20,sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_188933]) ).
tcf(c_193943,plain,
! [X0: $i,X1: $i] :
( perp(sK26,sK27,sK26,sK27)
| ~ perp(sK20,sK21,X0,X1)
| ~ eqangle(sK26,sK27,sK26,sK27,sK20,sK21,X0,X1) ),
inference(instantiation,[status(thm)],[c_151702]) ).
tcf(c_193946,plain,
( perp(sK26,sK27,sK26,sK27)
| ~ perp(sK20,sK21,sK20,sK20)
| ~ eqangle(sK26,sK27,sK26,sK27,sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_193943]) ).
tcf(c_197353,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK27,X0,X1,X2)
| ~ cyclic(X0,sK27,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_197354,plain,
( cyclic(sK27,sK20,sK20,sK20)
| ~ cyclic(sK20,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_197353]) ).
tcf(c_201267,plain,
! [X0: $i,X1: $i] :
( eqangle(X1,sK27,X1,X0,X1,sK27,X1,X0)
| ~ cyclic(sK27,X0,X1,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_201268,plain,
( eqangle(sK20,sK27,sK20,sK20,sK20,sK27,sK20,sK20)
| ~ cyclic(sK27,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_201267]) ).
tcf(c_213008,plain,
( perp(sK27,sK26,sK26,sK27)
| ~ perp(sK26,sK27,sK27,sK26) ),
inference(instantiation,[status(thm)],[c_152833]) ).
tcf(c_244247,plain,
! [X0: $i] :
( cong(sK27,X0,sK26,X0)
| ~ midp(X0,sK27,sK27)
| ~ perp(sK27,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_158841]) ).
tcf(c_244249,plain,
( cong(sK27,sK20,sK26,sK20)
| ~ midp(sK20,sK27,sK27)
| ~ perp(sK27,sK26,sK26,sK27) ),
inference(instantiation,[status(thm)],[c_244247]) ).
tcf(c_244250,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_244249,c_213008,c_201268,c_197354,c_193946,c_188934,c_171127,c_169256,c_159186,c_155594,c_153656,c_138714,c_127493,c_102389,c_100926,c_78162,c_72323,c_30841,c_30837,c_30430,c_19930,c_13664,c_13507,c_10243,c_9460,c_7953,c_7943,c_6855,c_6569,c_6520,c_6313,c_186,c_177,c_162,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO653+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.40 % Computer : n007.cluster.edu
% 0.09/5.40 % Model : x86_64 x86_64
% 0.09/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.40 % Memory : 8046.5625MB
% 0.09/5.40 % OS : Linux 6.8.0-71-generic
% 0.09/5.40 % CPULimit : 300
% 0.09/5.40 % WCLimit : 300
% 0.09/5.40 % DateTime : Wed Sep 23 12:38:27 UTC 2026
% 0.09/5.40 % CPUTime :
% 0.09/5.40 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.44 Running first-order theorem proving
% 0.09/5.44 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
% 0.09/5.45
% 0.09/5.45 % ======== iProver multi-core TPTP/SMT =========
% 0.09/5.45
% 0.09/5.45 % Detected problem language: tptp
% 0.09/5.46 % Proving...
% 58.69/21.48 % SZS status Started for theBenchmark.p
% 58.69/21.48 % SZS status Theorem for theBenchmark.p
% 58.69/21.48
% 58.69/21.48 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 58.69/21.48
% 58.69/21.48 % ------ iProver source info
% 58.69/21.48
% 58.69/21.48 % git: date: 2026-07-19 20:42:38 +0200
% 58.69/21.48 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 58.69/21.48 % git: non_committed_changes: false
% 58.69/21.48
% 58.69/21.48 % ------ Parsing...
% 58.69/21.48 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 58.69/21.48
% 58.69/21.48 % ------ 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 %
% 58.69/21.48
% 58.69/21.48 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 58.69/21.48
% 58.69/21.48 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 58.69/21.48 % ------ Proving...
% 58.69/21.48 % ------ Problem Properties
% 58.69/21.48
% 58.69/21.48 %
% 58.69/21.48 % clauses 122
% 58.69/21.48 % conjectures 10
% 58.69/21.48 % EPR 85
% 58.69/21.48 % Horn 112
% 58.69/21.48 % unary 10
% 58.69/21.48 % binary 37
% 58.69/21.48 % lits 338
% 58.69/21.48 % lits eq 4
% 58.69/21.48 % fd_pure 0
% 58.69/21.48 % fd_pseudo 0
% 58.69/21.48 % fd_cond 0
% 58.69/21.48 % fd_pseudo_cond 4
% 58.69/21.48 % AC symbols 0
% 58.69/21.48
% 58.69/21.48 % ------ Schedule dynamic 5 is on
% 58.69/21.48
% 58.69/21.48 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 58.69/21.48
% 58.69/21.48
% 58.69/21.48 % ------
% 58.69/21.48 % Current options:
% 58.69/21.48 % ------
% 58.69/21.48
% 58.69/21.48
% 58.69/21.48 %
% 58.69/21.48
% 58.69/21.48 % ------ Proving...
% 58.69/21.48 % Proof_search_loop: time out after: 6605 full_loop iterations
% 58.69/21.48
% 58.69/21.48 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 58.69/21.48
% 58.69/21.48
% 58.69/21.48 % ------
% 58.69/21.48 % Current options:
% 58.69/21.48 % ------
% 58.69/21.48
% 58.69/21.48
% 58.69/21.48 %
% 58.69/21.48
% 58.69/21.48 % ------ Proving...
% 58.69/21.48 %
% 58.69/21.48
% 58.69/21.48 % SZS status Theorem for theBenchmark.p
% 58.69/21.48
% 58.69/21.48 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 58.69/21.49
% 58.69/21.49
%------------------------------------------------------------------------------