%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO565+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 : n003.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 01:21:29 PM UTC 2026
% Result : Theorem 60.28s 14.94s
% Output : CNFRefutation 60.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 151 ( 5 unt; 0 def)
% Number of atoms : 500 ( 0 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 537 ( 188 ~; 182 |; 144 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 8 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 : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 628 ( 0 sgn 588 !; 40 ?; 169 :)
% Comments :
%------------------------------------------------------------------------------
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(f15,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> cyclic(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(f18,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD18) ).
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(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(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
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(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(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,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> cong(X3,X6,X3,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214027) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( ( perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3) )
=> cong(X3,X6,X3,X7) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f122,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f18]) ).
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(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(f130,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f25]) ).
fof(f131,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(flattening,[],[f130]) ).
fof(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(f157,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(ennf_transformation,[],[f45]) ).
fof(f158,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(flattening,[],[f157]) ).
fof(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(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(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,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3)
& ~ cong(X3,X6,X3,X7) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
( perp(X3,X0,X19,X7)
& midp(X19,X3,X0)
& perp(X2,X0,X18,X7)
& midp(X18,X2,X0)
& perp(X2,X3,X17,X7)
& midp(X17,X2,X3)
& perp(X3,X2,X16,X6)
& midp(X16,X3,X2)
& perp(X1,X2,X15,X6)
& midp(X15,X1,X2)
& perp(X1,X3,X14,X6)
& midp(X14,X1,X3)
& perp(X3,X1,X13,X5)
& midp(X13,X3,X1)
& perp(X0,X1,X12,X5)
& midp(X12,X0,X1)
& perp(X0,X3,X11,X5)
& midp(X11,X0,X3)
& perp(X1,X2,X10,X4)
& midp(X10,X1,X2)
& perp(X0,X2,X9,X4)
& midp(X9,X0,X2)
& perp(X0,X1,X8,X4)
& midp(X8,X0,X1)
& perp(X1,X2,X0,X3)
& perp(X0,X2,X1,X3)
& perp(X0,X1,X2,X3)
& ~ cong(X3,X6,X3,X7) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( perp(sK23,sK20,sK39,sK27)
& midp(sK39,sK23,sK20)
& perp(sK22,sK20,sK38,sK27)
& midp(sK38,sK22,sK20)
& perp(sK22,sK23,sK37,sK27)
& midp(sK37,sK22,sK23)
& perp(sK23,sK22,sK36,sK26)
& midp(sK36,sK23,sK22)
& perp(sK21,sK22,sK35,sK26)
& midp(sK35,sK21,sK22)
& perp(sK21,sK23,sK34,sK26)
& midp(sK34,sK21,sK23)
& perp(sK23,sK21,sK33,sK25)
& midp(sK33,sK23,sK21)
& perp(sK20,sK21,sK32,sK25)
& midp(sK32,sK20,sK21)
& perp(sK20,sK23,sK31,sK25)
& midp(sK31,sK20,sK23)
& perp(sK21,sK22,sK30,sK24)
& midp(sK30,sK21,sK22)
& perp(sK20,sK22,sK29,sK24)
& midp(sK29,sK20,sK22)
& perp(sK20,sK21,sK28,sK24)
& midp(sK28,sK20,sK21)
& perp(sK21,sK22,sK20,sK23)
& perp(sK20,sK22,sK21,sK23)
& perp(sK20,sK21,sK22,sK23)
& ~ cong(sK23,sK26,sK23,sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39)],[f250]) ).
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(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(f288,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f122]) ).
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(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(f295,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f131]) ).
fof(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(f315,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1)
| para(X3,X4,X1,X2) ),
inference(cnf_transformation,[],[f158]) ).
fof(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(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(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(f401,plain,
midp(sK31,sK20,sK23),
inference(cnf_transformation,[],[f270]) ).
fof(f411,plain,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f270]) ).
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_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_66,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f288]) ).
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_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_73,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f295]) ).
tcf(c_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_93,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X0,X3,X2,X4)
| ~ midp(X3,X1,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f315]) ).
tcf(c_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_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_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,
~ cong(sK23,sK26,sK23,sK27),
inference(cnf_transformation,[],[f411]) ).
tcf(c_172,negated_conjecture,
midp(sK31,sK20,sK23),
inference(cnf_transformation,[],[f401]) ).
tcf(c_192,plain,
( coll(sK23,sK23,sK23)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_115]) ).
tcf(c_195,plain,
( midp(sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_199,plain,
( eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_204,plain,
( perp(sK23,sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_220,plain,
( cyclic(sK23,sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_253,plain,
( cong(sK23,sK23,sK23,sK23)
| ~ cyclic(sK23,sK23,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_6230,plain,
! [X0: $i,X1: $i] :
( para(X0,sK31,X1,sK23)
| ~ midp(sK31,sK20,sK23)
| ~ midp(X0,sK20,X1) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_18749,plain,
( para(sK31,sK31,sK23,sK23)
| ~ midp(sK31,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_6230]) ).
tcf(c_21226,plain,
( para(sK23,sK23,sK31,sK31)
| ~ para(sK31,sK31,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_53]) ).
tcf(c_21231,plain,
! [X0: $i,X1: $i] :
( para(X0,X1,sK23,sK23)
| ~ para(sK31,sK31,sK23,sK23)
| ~ para(X0,X1,sK31,sK31) ),
inference(instantiation,[status(thm)],[c_54]) ).
tcf(c_21232,plain,
( para(sK23,sK23,sK23,sK23)
| ~ para(sK31,sK31,sK23,sK23)
| ~ para(sK23,sK23,sK31,sK31) ),
inference(instantiation,[status(thm)],[c_21231]) ).
tcf(c_33404,plain,
( cong(sK23,sK26,sK23,sK27)
| ~ cong(sK23,sK26,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_42415,plain,
( cong(sK23,sK26,sK27,sK23)
| ~ cong(sK27,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_53578,plain,
( cong(sK27,sK23,sK23,sK26)
| ~ cong(sK27,sK23,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_71]) ).
tcf(c_84479,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK23,sK27,sK23)
| ~ midp(sK23,X0,X1)
| ~ perp(X0,sK27,sK27,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_84480,plain,
( cong(sK23,sK23,sK27,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ perp(sK23,sK27,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_84479]) ).
tcf(c_84583,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,sK26,X0,X1)
| ~ cyclic(sK26,sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_84584,plain,
( cyclic(sK23,sK26,sK23,sK23)
| ~ cyclic(sK26,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_84583]) ).
tcf(c_84950,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK23,sK26,sK23)
| ~ cong(sK27,sK23,X0,X1)
| ~ cong(X0,X1,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_84951,plain,
( cong(sK27,sK23,sK26,sK23)
| ~ cong(sK27,sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_84950]) ).
tcf(c_85506,plain,
! [X0: $i,X1: $i] :
( cong(X0,sK23,sK26,sK23)
| ~ midp(sK23,X0,X1)
| ~ perp(X0,sK26,sK26,X1) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_85507,plain,
( cong(sK23,sK23,sK26,sK23)
| ~ midp(sK23,sK23,sK23)
| ~ perp(sK23,sK26,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_85506]) ).
tcf(c_85525,plain,
! [X0: $i,X1: $i] :
( cyclic(sK23,X0,sK26,X1)
| ~ cyclic(sK23,sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_85526,plain,
( cyclic(sK23,sK23,sK26,sK23)
| ~ cyclic(sK23,sK26,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_85525]) ).
tcf(c_85607,plain,
! [X0: $i,X1: $i] :
( cyclic(sK26,sK23,X0,X1)
| ~ coll(X0,X1,sK23)
| ~ eqangle(X0,sK26,X0,sK23,X1,sK26,X1,sK23) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_85608,plain,
( cyclic(sK26,sK23,sK23,sK23)
| ~ coll(sK23,sK23,sK23)
| ~ eqangle(sK23,sK26,sK23,sK23,sK23,sK26,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_85607]) ).
tcf(c_85637,plain,
! [X0: $i,X1: $i] :
( cong(sK27,sK23,X0,X1)
| ~ cong(X0,X1,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_85638,plain,
( cong(sK27,sK23,sK23,sK23)
| ~ cong(sK23,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_85637]) ).
tcf(c_86003,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK27,sK27,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_86006,plain,
( perp(sK23,sK27,sK27,sK23)
| ~ perp(sK23,sK23,sK23,sK23)
| ~ eqangle(sK23,sK27,sK27,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_86003]) ).
tcf(c_86651,plain,
! [X0: $i] :
( eqangle(X0,sK23,X0,sK26,X0,sK23,X0,sK26)
| ~ para(X0,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_86652,plain,
( eqangle(sK23,sK23,sK23,sK26,sK23,sK23,sK23,sK26)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_86651]) ).
tcf(c_87010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,sK26,sK26,X1)
| ~ perp(X2,X3,X4,X5)
| ~ eqangle(X0,sK26,sK26,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_123]) ).
tcf(c_87013,plain,
( perp(sK23,sK26,sK26,sK23)
| ~ perp(sK23,sK23,sK23,sK23)
| ~ eqangle(sK23,sK26,sK26,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_87010]) ).
tcf(c_87375,plain,
! [X0: $i,X1: $i,X2: $i] :
( eqangle(X0,X1,X0,X2,sK27,X1,sK27,X2)
| ~ eqangle(X0,X1,sK27,X1,X0,X2,sK27,X2) ),
inference(instantiation,[status(thm)],[c_69]) ).
tcf(c_87376,plain,
( eqangle(sK23,sK23,sK23,sK23,sK27,sK23,sK27,sK23)
| ~ eqangle(sK23,sK23,sK27,sK23,sK23,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_87375]) ).
tcf(c_92452,plain,
! [X0: $i,X1: $i] :
( eqangle(sK26,sK23,sK26,X0,X1,sK23,X1,X0)
| ~ cyclic(sK23,X0,sK26,X1) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_92453,plain,
( eqangle(sK26,sK23,sK26,sK23,sK23,sK23,sK23,sK23)
| ~ cyclic(sK23,sK23,sK26,sK23) ),
inference(instantiation,[status(thm)],[c_92452]) ).
tcf(c_92469,plain,
! [X0: $i,X1: $i] :
( eqangle(X0,sK26,X0,sK23,X1,sK26,X1,sK23)
| ~ eqangle(X0,sK23,X0,sK26,X1,sK23,X1,sK26) ),
inference(instantiation,[status(thm)],[c_67]) ).
tcf(c_92470,plain,
( eqangle(sK23,sK26,sK23,sK23,sK23,sK26,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK26,sK23,sK23,sK23,sK26) ),
inference(instantiation,[status(thm)],[c_92469]) ).
tcf(c_92608,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK27,sK23,sK27,sK23,X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,sK27,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_68]) ).
tcf(c_92609,plain,
( eqangle(sK27,sK23,sK27,sK23,sK23,sK23,sK23,sK23)
| ~ eqangle(sK23,sK23,sK23,sK23,sK27,sK23,sK27,sK23) ),
inference(instantiation,[status(thm)],[c_92608]) ).
tcf(c_98342,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,sK27,sK27,X1,X2,X3,X4,X5)
| ~ eqangle(sK27,X0,sK27,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_98343,plain,
( eqangle(sK23,sK27,sK27,sK23,sK23,sK23,sK23,sK23)
| ~ eqangle(sK27,sK23,sK27,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_98342]) ).
tcf(c_98593,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(sK23,X0,sK27,X3,X1,X2,sK27,X3)
| ~ para(sK23,X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_98594,plain,
( eqangle(sK23,sK23,sK27,sK23,sK23,sK23,sK27,sK23)
| ~ para(sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_98593]) ).
tcf(c_98706,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( eqangle(X0,sK26,sK26,X1,X2,X3,X4,X5)
| ~ eqangle(sK26,X0,sK26,X1,X2,X3,X4,X5) ),
inference(instantiation,[status(thm)],[c_66]) ).
tcf(c_98707,plain,
( eqangle(sK23,sK26,sK26,sK23,sK23,sK23,sK23,sK23)
| ~ eqangle(sK26,sK23,sK26,sK23,sK23,sK23,sK23,sK23) ),
inference(instantiation,[status(thm)],[c_98706]) ).
tcf(c_98708,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_98707,c_98594,c_98343,c_92609,c_92470,c_92453,c_87376,c_87013,c_86652,c_86006,c_85638,c_85608,c_85526,c_85507,c_84951,c_84584,c_84480,c_53578,c_42415,c_33404,c_21232,c_21226,c_18749,c_253,c_220,c_204,c_199,c_195,c_192,c_162,c_172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO565+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.38 % Computer : n003.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Wed Sep 23 12:26:40 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.12/5.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.43 Running first-order theorem proving
% 0.17/5.43 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
% 0.17/5.44
% 0.17/5.44 % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.44
% 0.17/5.44 % Detected problem language: tptp
% 0.17/5.46 % Proving...
% 60.28/14.94 % SZS status Started for theBenchmark.p
% 60.28/14.94 % SZS status Theorem for theBenchmark.p
% 60.28/14.94
% 60.28/14.94 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 60.28/14.94
% 60.28/14.94 % ------ iProver source info
% 60.28/14.94
% 60.28/14.94 % git: date: 2026-07-19 20:42:38 +0200
% 60.28/14.94 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 60.28/14.94 % git: non_committed_changes: false
% 60.28/14.94
% 60.28/14.94 % ------ Parsing...
% 60.28/14.94 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 60.28/14.94
% 60.28/14.94 % ------ 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 %
% 60.28/14.94
% 60.28/14.94 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 60.28/14.94
% 60.28/14.94 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 60.28/14.94 % ------ Proving...
% 60.28/14.94 % ------ Problem Properties
% 60.28/14.94
% 60.28/14.94 %
% 60.28/14.94 % clauses 140
% 60.28/14.94 % conjectures 28
% 60.28/14.94 % EPR 103
% 60.28/14.94 % Horn 130
% 60.28/14.94 % unary 28
% 60.28/14.94 % binary 37
% 60.28/14.94 % lits 356
% 60.28/14.94 % lits eq 4
% 60.28/14.94 % fd_pure 0
% 60.28/14.94 % fd_pseudo 0
% 60.28/14.94 % fd_cond 0
% 60.28/14.94 % fd_pseudo_cond 4
% 60.28/14.94 % AC symbols 0
% 60.28/14.94
% 60.28/14.94 % ------ Input Options Time Limit: Unbounded
% 60.28/14.94
% 60.28/14.94
% 60.28/14.94 % ------
% 60.28/14.94 % Current options:
% 60.28/14.94 % ------
% 60.28/14.94
% 60.28/14.94
% 60.28/14.94 %
% 60.28/14.94
% 60.28/14.94 % ------ Proving...
% 60.28/14.94 %
% 60.28/14.94
% 60.28/14.94 % SZS status Theorem for theBenchmark.p
% 60.28/14.94
% 60.28/14.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 60.28/14.94
% 60.28/14.94
%------------------------------------------------------------------------------