%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO550+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 : n001.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 01:21:26 PM UTC 2026
% Result : Theorem 41.41s 6.78s
% Output : CNFRefutation 41.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 187 ( 17 unt; 0 def)
% Number of atoms : 458 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 491 ( 220 ~; 206 |; 47 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 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 : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-5 aty)
% Number of variables : 455 ( 0 sgn 428 !; 27 ?; 160 :)
% 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(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(f14,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
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(f16,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X1,X0,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
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(f19,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(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(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] :
( ( circle(X7,X0,X8,X10)
& circle(X6,X2,X8,X9)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X3,X5)
& coll(X5,X0,X3)
& coll(X5,X1,X2)
& coll(X4,X0,X1)
& coll(X4,X2,X3) )
=> cyclic(X4,X3,X8,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012010) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ( circle(X7,X0,X8,X10)
& circle(X6,X2,X8,X9)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X3,X5)
& coll(X5,X0,X3)
& coll(X5,X1,X2)
& coll(X4,X0,X1)
& coll(X4,X2,X3) )
=> cyclic(X4,X3,X8,X0) ),
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(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(f117,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f15]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(ennf_transformation,[],[f16]) ).
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(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(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(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
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] :
( circle(X7,X0,X8,X10)
& circle(X6,X2,X8,X9)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X3,X5)
& coll(X5,X0,X3)
& coll(X5,X1,X2)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& ~ cyclic(X4,X3,X8,X0) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( circle(X7,X0,X8,X10)
& circle(X6,X2,X8,X9)
& circle(X7,X5,X1,X0)
& circle(X6,X2,X3,X5)
& coll(X5,X0,X3)
& coll(X5,X1,X2)
& coll(X4,X0,X1)
& coll(X4,X2,X3)
& ~ cyclic(X4,X3,X8,X0) ),
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(sK27,sK20,sK28,sK30)
& circle(sK26,sK22,sK28,sK29)
& circle(sK27,sK25,sK21,sK20)
& circle(sK26,sK22,sK23,sK25)
& coll(sK25,sK20,sK23)
& coll(sK25,sK21,sK22)
& coll(sK24,sK20,sK21)
& coll(sK24,sK22,sK23)
& ~ cyclic(sK24,sK23,sK28,sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30]),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)],[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(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(f284,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f117]) ).
fof(f285,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f118]) ).
fof(f286,plain,
! [X2,X3,X0,X1] :
( ~ cyclic(X0,X1,X2,X3)
| cyclic(X1,X0,X2,X3) ),
inference(cnf_transformation,[],[f119]) ).
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(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(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(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
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(f387,plain,
circle(sK26,sK22,sK23,sK25),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f391,plain,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f392,plain,
~ cyclic(sK24,sK23,sK28,sK20),
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_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_62,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f284]) ).
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_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_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_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_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_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
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,
~ cyclic(sK24,sK23,sK28,sK20),
inference(cnf_transformation,[],[f392]) ).
tcf(c_163,negated_conjecture,
coll(sK24,sK22,sK23),
inference(cnf_transformation,[],[f391]) ).
tcf(c_164,negated_conjecture,
coll(sK24,sK20,sK21),
inference(cnf_transformation,[],[f390]) ).
tcf(c_166,negated_conjecture,
coll(sK25,sK20,sK23),
inference(cnf_transformation,[],[f388]) ).
tcf(c_167,negated_conjecture,
circle(sK26,sK22,sK23,sK25),
inference(cnf_transformation,[],[f387]) ).
tcf(c_2356,plain,
( coll(sK22,sK24,sK23)
| ~ coll(sK24,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2357,plain,
( coll(sK24,sK23,sK22)
| ~ coll(sK24,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2362,plain,
( coll(sK20,sK24,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2363,plain,
( coll(sK24,sK21,sK20)
| ~ coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2401,plain,
( coll(sK25,sK23,sK20)
| ~ coll(sK25,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2406,plain,
( perp(sK11(sK22,sK23,sK25,sK26),sK22,sK22,sK26)
| ~ circle(sK26,sK22,sK23,sK25) ),
inference(instantiation,[status(thm)],[c_148]) ).
tcf(c_2441,plain,
! [X0: $i] :
( coll(X0,sK23,sK22)
| ~ coll(sK22,sK24,sK23)
| ~ coll(sK22,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2442,plain,
( coll(sK20,sK23,sK22)
| ~ coll(sK22,sK24,sK20)
| ~ coll(sK22,sK24,sK23) ),
inference(instantiation,[status(thm)],[c_2441]) ).
tcf(c_2449,plain,
! [X0: $i] :
( coll(X0,sK22,sK24)
| ~ coll(sK24,sK23,sK22)
| ~ coll(sK24,sK23,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2450,plain,
( coll(sK20,sK22,sK24)
| ~ coll(sK24,sK23,sK22)
| ~ coll(sK24,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_2449]) ).
tcf(c_2455,plain,
( perp(sK11(sK22,sK23,sK25,sK26),sK22,sK26,sK22)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_55]) ).
tcf(c_2462,plain,
! [X0: $i,X1: $i] :
( perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,X0,X1),sK11(sK22,sK23,sK25,sK26),X0,X1)
| ~ coll(sK26,X0,X1)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_156]) ).
tcf(c_2469,plain,
( perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,sK20,sK20),sK11(sK22,sK23,sK25,sK26),sK20,sK20)
| ~ coll(sK26,sK20,sK20)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_2462]) ).
tcf(c_2668,plain,
! [X0: $i] :
( coll(X0,sK21,sK20)
| ~ coll(sK20,sK24,sK21)
| ~ coll(sK20,sK24,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2669,plain,
( coll(sK20,sK21,sK20)
| ~ coll(sK20,sK24,sK21)
| ~ coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_2668]) ).
tcf(c_2686,plain,
! [X0: $i] :
( coll(X0,sK20,sK24)
| ~ coll(sK24,sK21,sK20)
| ~ coll(sK24,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2687,plain,
( coll(sK20,sK20,sK24)
| ~ coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_2686]) ).
tcf(c_2717,plain,
( coll(sK23,sK25,sK20)
| ~ coll(sK25,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_2787,plain,
! [X0: $i] :
( coll(X0,sK24,sK20)
| ~ coll(X0,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_2788,plain,
( coll(sK20,sK24,sK20)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_2787]) ).
tcf(c_2854,plain,
! [X0: $i] :
( coll(X0,sK20,sK23)
| ~ coll(sK23,sK25,sK20)
| ~ coll(sK23,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_2855,plain,
( coll(sK20,sK20,sK23)
| ~ coll(sK23,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_2854]) ).
tcf(c_2905,plain,
( perp(sK26,sK22,sK11(sK22,sK23,sK25,sK26),sK22)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_3389,plain,
! [X0: $i,X1: $i] :
( coll(X1,sK20,X0)
| ~ coll(X0,sK21,sK20)
| ~ coll(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3390,plain,
( coll(sK20,sK20,sK20)
| ~ coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_3389]) ).
tcf(c_3451,plain,
! [X0: $i] :
( coll(sK22,sK24,X0)
| ~ coll(sK22,X0,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_3452,plain,
( coll(sK22,sK24,sK20)
| ~ coll(sK22,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_3451]) ).
tcf(c_3491,plain,
! [X0: $i,X1: $i] :
( coll(sK24,sK23,X0)
| ~ coll(X0,X1,sK23)
| ~ coll(X0,X1,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_3492,plain,
( coll(sK24,sK23,sK20)
| ~ coll(sK20,sK20,sK23)
| ~ coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_3491]) ).
tcf(c_3523,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK26,sK22)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK26,sK22)
| ~ perp(X0,X1,sK11(sK22,sK23,sK25,sK26),sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_3638,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(sK26,X2,X0)
| ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4359,plain,
! [X0: $i,X1: $i] :
( coll(sK22,sK22,X0)
| ~ coll(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4635,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(X0,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_50]) ).
tcf(c_4636,plain,
( coll(sK22,sK20,sK24)
| ~ coll(sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_4635]) ).
tcf(c_4723,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X2,sK22)
| ~ coll(sK22,X0,X2)
| ~ coll(sK22,X0,X1) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4908,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X2,sK26,X0)
| ~ coll(X0,X1,sK26)
| ~ coll(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_4927,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK26)
| ~ coll(X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_5355,plain,
( para(sK26,sK22,sK26,sK22)
| ~ perp(sK26,sK22,sK11(sK22,sK23,sK25,sK26),sK22)
| ~ perp(sK11(sK22,sK23,sK25,sK26),sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_3523]) ).
tcf(c_7766,plain,
! [X0: $i] :
( coll(sK22,sK22,X0)
| ~ coll(X0,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_4359]) ).
tcf(c_7767,plain,
( coll(sK22,sK22,sK20)
| ~ coll(sK20,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_7766]) ).
tcf(c_7968,plain,
! [X0: $i,X1: $i] :
( coll(X0,sK22,X1)
| ~ coll(X0,X1,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
tcf(c_7969,plain,
( coll(sK20,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7968]) ).
tcf(c_8099,plain,
! [X0: $i,X1: $i] :
( coll(X0,X1,sK22)
| ~ coll(sK22,sK24,X1)
| ~ coll(sK22,sK24,X0) ),
inference(instantiation,[status(thm)],[c_4723]) ).
tcf(c_8100,plain,
( coll(sK20,sK20,sK22)
| ~ coll(sK22,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_8099]) ).
tcf(c_8261,plain,
! [X0: $i] :
( coll(sK22,sK22,sK26)
| ~ coll(sK26,X0,sK22) ),
inference(instantiation,[status(thm)],[c_4359]) ).
tcf(c_8806,plain,
! [X0: $i] :
( coll(X0,sK26,sK22)
| ~ coll(sK22,sK22,sK26)
| ~ coll(sK22,sK22,X0) ),
inference(instantiation,[status(thm)],[c_4908]) ).
tcf(c_8810,plain,
( coll(sK20,sK26,sK22)
| ~ coll(sK22,sK22,sK26)
| ~ coll(sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_8806]) ).
tcf(c_8826,plain,
~ cyclic(sK24,sK28,sK23,sK20),
inference(resolution,[status(thm)],[c_162,c_63]) ).
tcf(c_9008,plain,
! [X0: $i] :
( coll(X0,sK22,sK26)
| ~ coll(X0,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_4927]) ).
tcf(c_9010,plain,
( coll(sK20,sK22,sK26)
| ~ coll(sK20,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_9008]) ).
tcf(c_9140,plain,
~ cyclic(sK24,sK28,sK20,sK23),
inference(resolution,[status(thm)],[c_8826,c_62]) ).
tcf(c_9573,plain,
~ cyclic(sK24,sK20,sK28,sK23),
inference(resolution,[status(thm)],[c_9140,c_63]) ).
tcf(c_9825,plain,
~ cyclic(sK24,sK20,sK23,sK28),
inference(resolution,[status(thm)],[c_9573,c_62]) ).
tcf(c_10134,plain,
~ cyclic(sK20,sK24,sK23,sK28),
inference(resolution,[status(thm)],[c_9825,c_64]) ).
tcf(c_10389,plain,
~ cyclic(sK20,sK23,sK24,sK28),
inference(resolution,[status(thm)],[c_10134,c_63]) ).
tcf(c_10822,plain,
! [X0: $i] :
( ~ cyclic(X0,sK20,sK23,sK28)
| ~ cyclic(X0,sK20,sK23,sK24) ),
inference(resolution,[status(thm)],[c_10389,c_65]) ).
tcf(c_10823,plain,
( ~ cyclic(sK20,sK20,sK23,sK28)
| ~ cyclic(sK20,sK20,sK23,sK24) ),
inference(instantiation,[status(thm)],[c_10822]) ).
tcf(c_10992,plain,
( coll(sK26,sK22,sK22)
| ~ para(sK26,sK22,sK26,sK22) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_14167,plain,
! [X0: $i,X1: $i] :
( coll(sK26,X1,X0)
| ~ coll(X0,sK22,sK26)
| ~ coll(X0,sK22,X1) ),
inference(instantiation,[status(thm)],[c_3638]) ).
tcf(c_14169,plain,
( coll(sK26,sK20,sK20)
| ~ coll(sK20,sK22,sK26)
| ~ coll(sK20,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_14167]) ).
tcf(c_15860,plain,
( coll(sK22,sK22,sK26)
| ~ coll(sK26,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8261]) ).
tcf(c_21120,plain,
! [X0: $i,X1: $i] :
( perp(X0,X1,sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,X0,X1),sK11(sK22,sK23,sK25,sK26))
| ~ perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,X0,X1),sK11(sK22,sK23,sK25,sK26),X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_21122,plain,
( perp(sK20,sK20,sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,sK20,sK20),sK11(sK22,sK23,sK25,sK26))
| ~ perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,sK20,sK20),sK11(sK22,sK23,sK25,sK26),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21120]) ).
tcf(c_21126,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,X0,X1),sK11(sK22,sK23,sK25,sK26))
| ~ perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,X0,X1),sK11(sK22,sK23,sK25,sK26),X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_21127,plain,
( para(sK20,sK20,sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,sK20,sK20),sK11(sK22,sK23,sK25,sK26))
| ~ perp(sK16(sK11(sK22,sK23,sK25,sK26),sK26,sK22,sK20,sK20),sK11(sK22,sK23,sK25,sK26),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_21126]) ).
tcf(c_22077,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK24,X0,sK20)
| ~ coll(X0,sK20,sK24)
| ~ eqangle(X0,X1,X0,sK24,sK20,X1,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_22078,plain,
( cyclic(sK20,sK24,sK20,sK20)
| ~ coll(sK20,sK20,sK24)
| ~ eqangle(sK20,sK20,sK20,sK24,sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_22077]) ).
tcf(c_22532,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,sK28,X2)
| ~ cyclic(X0,sK28,X1,X2) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_22533,plain,
( cyclic(sK20,sK20,sK28,sK20)
| ~ cyclic(sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22532]) ).
tcf(c_22577,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK24,sK20)
| ~ cyclic(X0,sK24,X1,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_22578,plain,
( cyclic(sK20,sK20,sK24,sK20)
| ~ cyclic(sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22577]) ).
tcf(c_22939,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK24,sK20,X0,sK20,sK24)
| ~ para(sK20,X0,sK20,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_22940,plain,
( eqangle(sK20,sK20,sK20,sK24,sK20,sK20,sK20,sK24)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_22939]) ).
tcf(c_23131,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK23,X0,sK20)
| ~ coll(X0,sK20,sK23)
| ~ eqangle(X0,X1,X0,sK23,sK20,X1,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_23132,plain,
( cyclic(sK20,sK23,sK20,sK20)
| ~ coll(sK20,sK20,sK23)
| ~ eqangle(sK20,sK20,sK20,sK23,sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_23131]) ).
tcf(c_23500,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK23,sK20)
| ~ cyclic(X0,sK23,X1,sK20) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_23501,plain,
( cyclic(sK20,sK20,sK23,sK20)
| ~ cyclic(sK20,sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23500]) ).
tcf(c_23624,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK23)
| ~ cyclic(X0,X1,sK23,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_23625,plain,
( cyclic(sK20,sK20,sK20,sK23)
| ~ cyclic(sK20,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_23624]) ).
tcf(c_23627,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cyclic(X1,X2,X3,sK23)
| ~ cyclic(X0,X1,X2,sK23)
| ~ cyclic(X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_23761,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,sK20,X1,sK24)
| ~ cyclic(X0,sK20,sK24,X1) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_23762,plain,
( cyclic(sK20,sK20,sK20,sK24)
| ~ cyclic(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_23761]) ).
tcf(c_23933,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,sK28,X1,X2)
| ~ cyclic(sK28,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_23934,plain,
( cyclic(sK20,sK28,sK20,sK20)
| ~ cyclic(sK28,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23933]) ).
tcf(c_23971,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,sK28,X2) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_23972,plain,
( cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_23971]) ).
tcf(c_27402,plain,
! [X0: $i] :
( eqangle(sK20,X0,sK20,sK23,sK20,X0,sK20,sK23)
| ~ para(sK20,X0,sK20,X0) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_27403,plain,
( eqangle(sK20,sK20,sK20,sK23,sK20,sK20,sK20,sK23)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_27402]) ).
tcf(c_28101,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK23,sK24)
| ~ cyclic(X0,X1,X2,sK23)
| ~ cyclic(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_28102,plain,
( cyclic(sK20,sK20,sK23,sK24)
| ~ cyclic(sK20,sK20,sK20,sK23)
| ~ cyclic(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_28101]) ).
tcf(c_30906,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(sK28,X1,X0,X2)
| ~ coll(X0,X2,X1)
| ~ eqangle(X0,sK28,X0,X1,X2,sK28,X2,X1) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_30907,plain,
( cyclic(sK28,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| ~ eqangle(sK20,sK28,sK20,sK20,sK20,sK28,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_30906]) ).
tcf(c_31031,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,X1,X0,sK28,X0,X1,X0,sK28)
| ~ para(X0,X1,X0,X1) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_31032,plain,
( eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28)
| ~ para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31031]) ).
tcf(c_31113,plain,
! [X0: $i,X1: $i] :
( cyclic(X0,X1,sK23,sK28)
| ~ cyclic(X0,X1,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_23971]) ).
tcf(c_31114,plain,
! [X0: $i,X1: $i,X2: $i] :
( cyclic(X1,X2,sK28,sK23)
| ~ cyclic(X0,X1,X2,sK28)
| ~ cyclic(X0,X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_23627]) ).
tcf(c_31115,plain,
( cyclic(sK20,sK20,sK23,sK28)
| ~ cyclic(sK20,sK20,sK28,sK23) ),
inference(instantiation,[status(thm)],[c_31113]) ).
tcf(c_31116,plain,
( cyclic(sK20,sK20,sK28,sK23)
| ~ cyclic(sK20,sK20,sK20,sK28)
| ~ cyclic(sK20,sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_31114]) ).
tcf(c_33286,plain,
! [X0: $i,X1: $i] :
( eqangle(sK20,sK28,sK20,X0,X1,sK28,X1,X0)
| ~ eqangle(sK20,X0,sK20,sK28,X1,X0,X1,sK28) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_33287,plain,
( eqangle(sK20,sK28,sK20,sK20,sK20,sK28,sK20,sK20)
| ~ eqangle(sK20,sK20,sK20,sK28,sK20,sK20,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_33286]) ).
tcf(c_33288,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_33287,c_31116,c_31115,c_31032,c_30907,c_28102,c_27403,c_23972,c_23934,c_23762,c_23625,c_23501,c_23132,c_22940,c_22578,c_22533,c_22078,c_21127,c_21122,c_15860,c_14169,c_10992,c_10823,c_9010,c_8810,c_8100,c_7969,c_7767,c_5355,c_4636,c_3492,c_3452,c_3390,c_2905,c_2855,c_2788,c_2717,c_2687,c_2669,c_2469,c_2455,c_2450,c_2442,c_2406,c_2401,c_2362,c_2363,c_2356,c_2357,c_167,c_163,c_164,c_166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO550+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 12:28:21 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.42 % Proving...
% 41.41/6.78 % SZS status Started for theBenchmark.p
% 41.41/6.78 % SZS status Theorem for theBenchmark.p
% 41.41/6.78
% 41.41/6.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 41.41/6.78
% 41.41/6.78 % ------ iProver source info
% 41.41/6.78
% 41.41/6.78 % git: date: 2026-07-19 20:42:38 +0200
% 41.41/6.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 41.41/6.78 % git: non_committed_changes: false
% 41.41/6.78
% 41.41/6.78 % ------ Parsing...
% 41.41/6.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 41.41/6.78
% 41.41/6.78 % ------ Preprocessing...%
% 41.41/6.78
% 41.41/6.78 % ------ Preprocessing...%
% 41.41/6.78
% 41.41/6.78 % ------ Preprocessing...
% 41.41/6.78 % ------ Proving...
% 41.41/6.78 % ------ Problem Properties
% 41.41/6.78
% 41.41/6.78 %
% 41.41/6.78 % clauses 121
% 41.41/6.78 % conjectures 9
% 41.41/6.78 % EPR 84
% 41.41/6.78 % Horn 111
% 41.41/6.78 % unary 9
% 41.41/6.78 % binary 37
% 41.41/6.78 % lits 337
% 41.41/6.78 % lits eq 4
% 41.41/6.78 % fd_pure 0
% 41.41/6.78 % fd_pseudo 0
% 41.41/6.78 % fd_cond 0
% 41.41/6.78 % fd_pseudo_cond 4
% 41.41/6.78 % AC symbols 0
% 41.41/6.78
% 41.41/6.78 % ------ Input Options Time Limit: Unbounded
% 41.41/6.78
% 41.41/6.78
% 41.41/6.78 % ------
% 41.41/6.78 % Current options:
% 41.41/6.78 % ------
% 41.41/6.78
% 41.41/6.78
% 41.41/6.78 %
% 41.41/6.78
% 41.41/6.78 % ------ Proving...
% 41.41/6.78 %
% 41.41/6.78
% 41.41/6.78 % SZS status Theorem for theBenchmark.p
% 41.41/6.78
% 41.41/6.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 41.41/6.78
% 41.41/6.78
%------------------------------------------------------------------------------