%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GEO590+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 : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:21:34 PM UTC 2026
% Result : Theorem 37.02s 6.79s
% Output : CNFRefutation 28.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 36
% Syntax : Number of formulae : 528 ( 149 unt; 0 def)
% Number of atoms : 1159 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1183 ( 552 ~; 543 |; 51 &)
% ( 0 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 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 : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 903 ( 0 sgn 891 !; 12 ?; 323 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(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/sandbox/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/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(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(f13,axiom,
! [X0,X1,X2,X3,X4] :
( ( cong(X4,X0,X4,X3)
& cong(X4,X0,X4,X2)
& cong(X4,X0,X4,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).
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(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(f41,axiom,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
=> eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
fof(f43,axiom,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(f53,axiom,
! [X0,X1,X2,X3] :
( ( midp(X3,X0,X2)
& perp(X0,X1,X1,X2) )
=> cong(X0,X3,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ( perp(X3,X2,X0,X1)
& midp(X2,X0,X1) )
=> cong(X3,X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X2,X3] :
( ( cong(X0,X3,X1,X3)
& cong(X0,X2,X1,X2) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X2,X3)
& midp(X4,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(f68,axiom,
! [X0,X1,X2] :
( ( coll(X0,X1,X2)
& cong(X0,X1,X0,X2) )
=> midp(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(f70,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(f95,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> cong(X4,X2,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416052) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1) )
=> cong(X4,X2,X4,X5) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f104,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f6]) ).
fof(f105,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f108,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f9]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(ennf_transformation,[],[f10]) ).
fof(f111,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f115,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f13]) ).
fof(f116,plain,
! [X0,X1,X2,X3,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f115]) ).
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(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(f159,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f160,plain,
! [X0,X1,X2,X3,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(flattening,[],[f159]) ).
fof(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(f178,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f179,plain,
! [X0,X1,X2,X3] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(flattening,[],[f178]) ).
fof(f180,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f57]) ).
fof(f181,plain,
! [X0,X1,X2,X3] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(flattening,[],[f180]) ).
fof(f191,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(ennf_transformation,[],[f64]) ).
fof(f192,plain,
! [X0,X1,X2,X3,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(flattening,[],[f191]) ).
fof(f193,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(ennf_transformation,[],[f65]) ).
fof(f194,plain,
! [X0,X1,X2,X3,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(flattening,[],[f193]) ).
fof(f197,plain,
! [X0,X1,X2] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f67]) ).
fof(f198,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(ennf_transformation,[],[f68]) ).
fof(f199,plain,
! [X0,X1,X2] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(flattening,[],[f198]) ).
fof(f200,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(ennf_transformation,[],[f69]) ).
fof(f201,plain,
! [X0,X1,X2] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
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(f249,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1)
& ~ cong(X4,X2,X4,X5) ),
inference(ennf_transformation,[],[f96]) ).
fof(f250,plain,
? [X0,X1,X2,X3,X4,X5] :
( coll(X5,X1,X2)
& coll(X5,X0,X4)
& perp(X2,X3,X2,X4)
& perp(X0,X1,X0,X4)
& midp(X3,X1,X0)
& perp(X2,X0,X2,X1)
& ~ cong(X4,X2,X4,X5) ),
inference(flattening,[],[f249]) ).
fof(f270,plain,
( coll(sK25,sK21,sK22)
& coll(sK25,sK20,sK24)
& perp(sK22,sK23,sK22,sK24)
& perp(sK20,sK21,sK20,sK24)
& midp(sK23,sK21,sK20)
& perp(sK22,sK20,sK22,sK21)
& ~ cong(sK24,sK22,sK24,sK25) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25)],[f250]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X0,X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| coll(X1,X0,X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f273,plain,
! [X2,X3,X0,X1] :
( ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2)
| coll(X2,X3,X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f102]) ).
fof(f275,plain,
! [X2,X3,X0,X1] :
( ~ para(X0,X1,X2,X3)
| para(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
fof(f276,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f105]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f106]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ perp(X0,X1,X2,X3)
| perp(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f279,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f109]) ).
fof(f280,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3)
| perp(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f111]) ).
fof(f281,plain,
! [X2,X0,X1] :
( ~ midp(X2,X1,X0)
| midp(X2,X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cong(X4,X0,X4,X3)
| ~ cong(X4,X0,X4,X2)
| ~ cong(X4,X0,X4,X1)
| cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f116]) ).
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(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(f316,plain,
! [X2,X3,X0,X1,X4] :
( ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1)
| midp(X4,X0,X2) ),
inference(cnf_transformation,[],[f160]) ).
fof(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(f326,plain,
! [X2,X3,X0,X1] :
( ~ perp(X3,X2,X0,X1)
| ~ midp(X2,X0,X1)
| cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f327,plain,
! [X2,X3,X0,X1] :
( ~ cong(X0,X3,X1,X3)
| ~ cong(X0,X2,X1,X2)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f181]) ).
fof(f334,plain,
! [X2,X3,X0,X1,X4] :
( ~ midp(X4,X2,X3)
| ~ midp(X4,X0,X1)
| para(X0,X2,X1,X3) ),
inference(cnf_transformation,[],[f192]) ).
fof(f335,plain,
! [X2,X3,X0,X1,X4] :
( ~ para(X0,X3,X1,X2)
| ~ para(X0,X2,X1,X3)
| ~ midp(X4,X0,X1)
| midp(X4,X2,X3) ),
inference(cnf_transformation,[],[f194]) ).
fof(f337,plain,
! [X2,X0,X1] :
( ~ para(X0,X1,X0,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f197]) ).
fof(f338,plain,
! [X2,X0,X1] :
( ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2)
| midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f199]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f200]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ midp(X0,X1,X2)
| coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f201]) ).
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(f384,plain,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f270]) ).
fof(f385,plain,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f386,plain,
perp(sK22,sK23,sK22,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f387,plain,
perp(sK20,sK21,sK20,sK24),
inference(cnf_transformation,[],[f270]) ).
fof(f388,plain,
midp(sK23,sK21,sK20),
inference(cnf_transformation,[],[f270]) ).
fof(f389,plain,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f270]) ).
fof(f390,plain,
~ cong(sK24,sK22,sK24,sK25),
inference(cnf_transformation,[],[f270]) ).
tcf(c_49,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f271]) ).
tcf(c_50,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f272]) ).
tcf(c_51,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f274]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f275]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f277]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f278]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f279]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f280]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f281]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( cyclic(X1,X3,X2,X4)
| ~ cong(X0,X1,X0,X4)
| ~ cong(X0,X1,X0,X3)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f283]) ).
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_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_94,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X1,X4,X3)
| ~ midp(X0,X4,X2)
| ~ coll(X1,X4,X3)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f316]) ).
tcf(c_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_104,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(X0,X2,X0,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f326]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[],[f327]) ).
tcf(c_112,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( para(X1,X3,X2,X4)
| ~ midp(X0,X3,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f334]) ).
tcf(c_113,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( midp(X4,X1,X3)
| ~ midp(X4,X0,X2)
| ~ para(X0,X3,X2,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f335]) ).
tcf(c_115,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f337]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[],[f338]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f339]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[],[f340]) ).
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_162,negated_conjecture,
~ cong(sK24,sK22,sK24,sK25),
inference(cnf_transformation,[],[f390]) ).
tcf(c_163,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(cnf_transformation,[],[f389]) ).
tcf(c_164,negated_conjecture,
midp(sK23,sK21,sK20),
inference(cnf_transformation,[],[f388]) ).
tcf(c_165,negated_conjecture,
perp(sK20,sK21,sK20,sK24),
inference(cnf_transformation,[],[f387]) ).
tcf(c_166,negated_conjecture,
perp(sK22,sK23,sK22,sK24),
inference(cnf_transformation,[],[f386]) ).
tcf(c_167,negated_conjecture,
coll(sK25,sK20,sK24),
inference(cnf_transformation,[],[f385]) ).
tcf(c_168,negated_conjecture,
coll(sK25,sK21,sK22),
inference(cnf_transformation,[],[f384]) ).
tcf(c_174,plain,
( midp(sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_4278,negated_conjecture,
coll(sK25,sK21,sK22),
inference(demodulation,[status(thm)],[c_168]) ).
tcf(c_4279,negated_conjecture,
coll(sK25,sK20,sK24),
inference(demodulation,[status(thm)],[c_167]) ).
tcf(c_4280,negated_conjecture,
perp(sK22,sK23,sK22,sK24),
inference(demodulation,[status(thm)],[c_166]) ).
tcf(c_4281,negated_conjecture,
perp(sK20,sK21,sK20,sK24),
inference(demodulation,[status(thm)],[c_165]) ).
tcf(c_4282,negated_conjecture,
midp(sK23,sK21,sK20),
inference(demodulation,[status(thm)],[c_164]) ).
tcf(c_4283,negated_conjecture,
perp(sK22,sK20,sK22,sK21),
inference(demodulation,[status(thm)],[c_163]) ).
tcf(c_4284,negated_conjecture,
~ cong(sK24,sK22,sK24,sK25),
inference(demodulation,[status(thm)],[c_162]) ).
tcf(c_5798,plain,
coll(sK25,sK24,sK20),
inference(superposition,[status(thm)],[c_4279,c_49]) ).
tcf(c_5799,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_4278,c_49]) ).
tcf(c_5805,plain,
coll(sK20,sK25,sK24),
inference(superposition,[status(thm)],[c_4279,c_50]) ).
tcf(c_5806,plain,
coll(sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_4278,c_50]) ).
tcf(c_5807,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_5798,c_50]) ).
tcf(c_5812,plain,
midp(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_4282,c_59]) ).
tcf(c_5817,plain,
coll(sK23,sK21,sK20),
inference(superposition,[status(thm)],[c_4282,c_118]) ).
tcf(c_5822,plain,
coll(sK22,sK25,sK21),
inference(superposition,[status(thm)],[c_5799,c_50]) ).
tcf(c_5830,plain,
coll(sK23,sK20,sK21),
inference(superposition,[status(thm)],[c_5812,c_118]) ).
tcf(c_5832,plain,
coll(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_5817,c_50]) ).
tcf(c_5840,plain,
coll(sK20,sK23,sK21),
inference(superposition,[status(thm)],[c_5830,c_50]) ).
tcf(c_5843,plain,
coll(sK21,sK20,sK23),
inference(superposition,[status(thm)],[c_5832,c_49]) ).
tcf(c_5852,plain,
~ midp(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_117,c_4284]) ).
tcf(c_5865,plain,
perp(sK22,sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_4283,c_55]) ).
tcf(c_5866,plain,
perp(sK20,sK21,sK24,sK20),
inference(superposition,[status(thm)],[c_4281,c_55]) ).
tcf(c_5867,plain,
perp(sK22,sK23,sK24,sK22),
inference(superposition,[status(thm)],[c_4280,c_55]) ).
tcf(c_5869,plain,
coll(sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_5840,c_49]) ).
tcf(c_5881,plain,
perp(sK22,sK21,sK22,sK20),
inference(superposition,[status(thm)],[c_4283,c_56]) ).
tcf(c_5882,plain,
perp(sK20,sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_4281,c_56]) ).
tcf(c_5883,plain,
perp(sK22,sK24,sK22,sK23),
inference(superposition,[status(thm)],[c_4280,c_56]) ).
tcf(c_5884,plain,
perp(sK21,sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_5865,c_56]) ).
tcf(c_5885,plain,
perp(sK24,sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_5866,c_56]) ).
tcf(c_5886,plain,
perp(sK24,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_5867,c_56]) ).
tcf(c_5890,plain,
perp(sK20,sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_5882,c_55]) ).
tcf(c_5892,plain,
perp(sK22,sK24,sK23,sK22),
inference(superposition,[status(thm)],[c_5883,c_55]) ).
tcf(c_5959,plain,
! [X0: $i] :
( coll(sK24,X0,sK25)
| ~ coll(sK25,sK20,X0) ),
inference(superposition,[status(thm)],[c_4279,c_51]) ).
tcf(c_5960,plain,
! [X0: $i] :
( coll(sK22,X0,sK25)
| ~ coll(sK25,sK21,X0) ),
inference(superposition,[status(thm)],[c_4278,c_51]) ).
tcf(c_5961,plain,
! [X0: $i] :
( coll(sK20,X0,sK25)
| ~ coll(sK25,sK24,X0) ),
inference(superposition,[status(thm)],[c_5798,c_51]) ).
tcf(c_5962,plain,
! [X0: $i] :
( coll(sK21,X0,sK25)
| ~ coll(sK25,sK22,X0) ),
inference(superposition,[status(thm)],[c_5799,c_51]) ).
tcf(c_5963,plain,
! [X0: $i] :
( coll(sK24,X0,sK20)
| ~ coll(sK20,sK25,X0) ),
inference(superposition,[status(thm)],[c_5805,c_51]) ).
tcf(c_5964,plain,
! [X0: $i] :
( coll(sK22,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_5806,c_51]) ).
tcf(c_5965,plain,
! [X0: $i] :
( coll(sK20,X0,sK24)
| ~ coll(sK24,sK25,X0) ),
inference(superposition,[status(thm)],[c_5807,c_51]) ).
tcf(c_5966,plain,
! [X0: $i] :
( coll(sK20,X0,sK23)
| ~ coll(sK23,sK21,X0) ),
inference(superposition,[status(thm)],[c_5817,c_51]) ).
tcf(c_5967,plain,
! [X0: $i] :
( coll(sK21,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_5822,c_51]) ).
tcf(c_5971,plain,
! [X0: $i] :
( coll(sK21,X0,sK23)
| ~ coll(sK23,sK20,X0) ),
inference(superposition,[status(thm)],[c_5830,c_51]) ).
tcf(c_5972,plain,
! [X0: $i] :
( coll(sK20,X0,sK21)
| ~ coll(sK21,sK23,X0) ),
inference(superposition,[status(thm)],[c_5832,c_51]) ).
tcf(c_5974,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK23,X0) ),
inference(superposition,[status(thm)],[c_5840,c_51]) ).
tcf(c_5975,plain,
! [X0: $i] :
( coll(sK23,X0,sK21)
| ~ coll(sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_5843,c_51]) ).
tcf(c_5976,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK21,X0) ),
inference(superposition,[status(thm)],[c_5869,c_51]) ).
tcf(c_6024,plain,
( coll(sK22,sK22,sK21)
| ~ coll(sK21,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_5964]) ).
tcf(c_6027,plain,
( coll(sK22,sK22,sK25)
| ~ coll(sK25,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_5960]) ).
tcf(c_6037,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_4279,c_5959]) ).
tcf(c_6038,plain,
! [X0: $i] :
( coll(sK25,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_6037,c_51]) ).
tcf(c_6040,plain,
coll(sK24,sK25,sK24),
inference(superposition,[status(thm)],[c_6037,c_49]) ).
tcf(c_6044,plain,
! [X0: $i] :
( coll(sK24,X0,sK24)
| ~ coll(sK24,sK25,X0) ),
inference(superposition,[status(thm)],[c_6040,c_51]) ).
tcf(c_6060,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_4278,c_5960]) ).
tcf(c_6061,plain,
! [X0: $i] :
( coll(sK25,X0,sK22)
| ~ coll(sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6060,c_51]) ).
tcf(c_6063,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_6060,c_49]) ).
tcf(c_6067,plain,
! [X0: $i] :
( coll(sK22,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_6063,c_51]) ).
tcf(c_6072,plain,
( coll(sK22,sK22,sK22)
| ~ coll(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_6067]) ).
tcf(c_6077,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_5798,c_5961]) ).
tcf(c_6079,plain,
! [X0: $i] :
( coll(sK25,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6077,c_51]) ).
tcf(c_6089,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_5799,c_5962]) ).
tcf(c_6090,plain,
! [X0: $i] :
( coll(sK25,X0,sK21)
| ~ coll(sK21,sK21,X0) ),
inference(superposition,[status(thm)],[c_6089,c_51]) ).
tcf(c_6092,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_6089,c_49]) ).
tcf(c_6134,plain,
! [X0: $i] :
( coll(sK21,X0,sK21)
| ~ coll(sK21,sK25,X0) ),
inference(superposition,[status(thm)],[c_6092,c_51]) ).
tcf(c_6157,plain,
coll(sK20,sK20,sK23),
inference(superposition,[status(thm)],[c_5817,c_5966]) ).
tcf(c_6158,plain,
! [X0: $i] :
( coll(sK23,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_6157,c_51]) ).
tcf(c_6160,plain,
coll(sK20,sK23,sK20),
inference(superposition,[status(thm)],[c_6157,c_49]) ).
tcf(c_6163,plain,
( coll(sK23,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_6158]) ).
tcf(c_6181,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_6060,c_6061]) ).
tcf(c_6257,plain,
coll(sK23,sK20,sK20),
inference(superposition,[status(thm)],[c_6160,c_50]) ).
tcf(c_6300,plain,
! [X0: $i] :
( cong(sK21,sK23,X0,sK23)
| ~ midp(sK23,sK21,sK20)
| ~ perp(sK21,X0,X0,sK20) ),
inference(instantiation,[status(thm)],[c_101]) ).
tcf(c_6301,plain,
( cong(sK21,sK23,sK22,sK23)
| ~ midp(sK23,sK21,sK20)
| ~ perp(sK21,sK22,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_6300]) ).
tcf(c_6314,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK22,sK23,sK22,sK24)
| ~ perp(sK22,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
tcf(c_6328,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK20,X1)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_4282,c_93]) ).
tcf(c_6329,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,sK21,X1)
| ~ midp(X0,sK20,X1) ),
inference(superposition,[status(thm)],[c_5812,c_93]) ).
tcf(c_6352,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,sK20,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_4282,c_112]) ).
tcf(c_6353,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5812,c_112]) ).
tcf(c_6402,plain,
! [X0: $i,X1: $i] :
( para(sK20,X1,sK23,X0)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6328,c_53]) ).
tcf(c_6403,plain,
! [X0: $i,X1: $i] :
( para(sK23,X0,X1,sK20)
| ~ midp(X0,sK21,X1) ),
inference(superposition,[status(thm)],[c_6328,c_52]) ).
tcf(c_6415,plain,
! [X0: $i,X1: $i] :
( para(sK21,X0,X1,sK20)
| ~ midp(sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_6352,c_52]) ).
tcf(c_6575,plain,
( cong(sK22,sK22,sK22,sK24)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_4280,c_104]) ).
tcf(c_6579,plain,
( cong(sK22,sK22,sK22,sK20)
| ~ midp(sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_5881,c_104]) ).
tcf(c_6580,plain,
( cong(sK20,sK20,sK20,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_5882,c_104]) ).
tcf(c_6581,plain,
( cong(sK22,sK22,sK22,sK23)
| ~ midp(sK24,sK22,sK23) ),
inference(superposition,[status(thm)],[c_5883,c_104]) ).
tcf(c_6583,plain,
( cong(sK24,sK20,sK24,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_5885,c_104]) ).
tcf(c_6584,plain,
( cong(sK24,sK22,sK24,sK23)
| ~ midp(sK22,sK22,sK23) ),
inference(superposition,[status(thm)],[c_5886,c_104]) ).
tcf(c_6755,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,X1)
| ~ midp(sK23,sK20,sK21)
| ~ para(sK20,X1,sK21,X0)
| ~ para(sK20,X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_113]) ).
tcf(c_6756,plain,
( midp(sK23,sK22,sK22)
| ~ midp(sK23,sK20,sK21)
| ~ para(sK20,sK22,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_6755]) ).
tcf(c_6772,plain,
( cong(sK22,sK24,sK22,sK22)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6575,c_72]) ).
tcf(c_6773,plain,
( cong(sK22,sK22,sK24,sK22)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6575,c_71]) ).
tcf(c_6822,plain,
( cong(sK22,sK20,sK22,sK22)
| ~ midp(sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_6579,c_72]) ).
tcf(c_6835,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK24,sK20,sK21)
| ~ coll(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6580,c_116]) ).
tcf(c_6904,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK20,X0,X1)
| ~ perp(sK22,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_4283,c_57]) ).
tcf(c_6905,plain,
! [X0: $i,X1: $i] :
( para(sK20,sK21,X0,X1)
| ~ perp(sK20,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4281,c_57]) ).
tcf(c_6906,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ perp(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_4280,c_57]) ).
tcf(c_6910,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ perp(sK22,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_5881,c_57]) ).
tcf(c_6912,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK24,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5883,c_57]) ).
tcf(c_6915,plain,
! [X0: $i,X1: $i] :
( para(sK24,sK22,X0,X1)
| ~ perp(sK22,sK23,X0,X1) ),
inference(superposition,[status(thm)],[c_5886,c_57]) ).
tcf(c_6994,plain,
( para(sK22,sK24,sK22,sK22)
| ~ perp(sK22,sK23,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_6912]) ).
tcf(c_7045,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( perp(sK23,X3,X1,X2)
| ~ midp(X3,sK21,X0)
| ~ perp(sK20,X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6328,c_58]) ).
tcf(c_7176,plain,
para(sK22,sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_5881,c_6904]) ).
tcf(c_7182,plain,
para(sK20,sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_5882,c_6905]) ).
tcf(c_7183,plain,
para(sK20,sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_5890,c_6905]) ).
tcf(c_7188,plain,
para(sK22,sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_5883,c_6906]) ).
tcf(c_7189,plain,
para(sK22,sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_5892,c_6906]) ).
tcf(c_7194,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7176,c_115]) ).
tcf(c_7224,plain,
coll(sK20,sK21,sK21),
inference(superposition,[status(thm)],[c_7182,c_115]) ).
tcf(c_7239,plain,
coll(sK22,sK23,sK23),
inference(superposition,[status(thm)],[c_7188,c_115]) ).
tcf(c_7244,plain,
coll(sK21,sK21,sK23),
inference(superposition,[status(thm)],[c_5830,c_5971]) ).
tcf(c_7261,plain,
! [X0: $i,X1: $i] :
( cong(sK22,sK22,X0,X1)
| ~ midp(sK23,sK22,sK24)
| ~ cong(sK22,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_6575,c_73]) ).
tcf(c_7330,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_7194,c_50]) ).
tcf(c_7336,plain,
coll(sK21,sK20,sK21),
inference(superposition,[status(thm)],[c_7224,c_50]) ).
tcf(c_7342,plain,
coll(sK23,sK22,sK23),
inference(superposition,[status(thm)],[c_7239,c_50]) ).
tcf(c_7349,plain,
coll(sK21,sK23,sK21),
inference(superposition,[status(thm)],[c_7244,c_49]) ).
tcf(c_7353,plain,
! [X0: $i,X1: $i] :
( perp(sK22,sK23,X0,X1)
| ~ perp(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7189,c_58]) ).
tcf(c_7354,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK23,X0,X1)
| ~ para(sK23,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7189,c_54]) ).
tcf(c_7355,plain,
para(sK23,sK22,sK22,sK23),
inference(superposition,[status(thm)],[c_7189,c_53]) ).
tcf(c_7371,plain,
( cong(sK22,sK22,sK23,sK22)
| ~ midp(sK24,sK22,sK23) ),
inference(superposition,[status(thm)],[c_6581,c_71]) ).
tcf(c_7482,plain,
( midp(sK22,sK24,sK22)
| ~ midp(sK23,sK22,sK24)
| ~ coll(sK22,sK24,sK22) ),
inference(superposition,[status(thm)],[c_6772,c_116]) ).
tcf(c_7518,plain,
coll(sK20,sK20,sK21),
inference(superposition,[status(thm)],[c_5832,c_5972]) ).
tcf(c_7592,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_7330,c_49]) ).
tcf(c_7602,plain,
coll(sK23,sK23,sK22),
inference(superposition,[status(thm)],[c_7342,c_49]) ).
tcf(c_7606,plain,
coll(sK23,sK21,sK21),
inference(superposition,[status(thm)],[c_7349,c_50]) ).
tcf(c_7649,plain,
para(sK22,sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_4283,c_6910]) ).
tcf(c_7650,plain,
para(sK22,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_5865,c_6910]) ).
tcf(c_7657,plain,
! [X0: $i,X1: $i] :
( para(sK22,sK21,X0,X1)
| ~ para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_7650,c_54]) ).
tcf(c_7658,plain,
para(sK21,sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_7650,c_53]) ).
tcf(c_7719,plain,
! [X0: $i] :
( coll(sK21,X0,sK20)
| ~ coll(sK20,sK20,X0) ),
inference(superposition,[status(thm)],[c_7518,c_51]) ).
tcf(c_7724,plain,
( coll(sK21,sK22,sK20)
| ~ coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7719]) ).
tcf(c_7741,plain,
! [X0: $i] :
( coll(sK22,X0,sK23)
| ~ coll(sK23,sK23,X0) ),
inference(superposition,[status(thm)],[c_7602,c_51]) ).
tcf(c_7746,plain,
( coll(sK22,sK22,sK23)
| ~ coll(sK23,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_7741]) ).
tcf(c_7777,plain,
para(sK22,sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_4280,c_6912]) ).
tcf(c_7778,plain,
para(sK22,sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_5867,c_6912]) ).
tcf(c_7783,plain,
coll(sK22,sK24,sK24),
inference(superposition,[status(thm)],[c_7777,c_115]) ).
tcf(c_7785,plain,
coll(sK24,sK22,sK24),
inference(superposition,[status(thm)],[c_7783,c_50]) ).
tcf(c_7860,plain,
coll(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_6160,c_5974]) ).
tcf(c_7971,plain,
coll(sK24,sK24,sK22),
inference(superposition,[status(thm)],[c_7785,c_49]) ).
tcf(c_8032,plain,
! [X0: $i] :
( perp(sK23,X0,sK20,sK24)
| ~ midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_4281,c_7045]) ).
tcf(c_8077,plain,
! [X0: $i] :
( cong(sK23,sK20,sK23,sK24)
| ~ midp(X0,sK21,sK21)
| ~ midp(X0,sK20,sK24) ),
inference(superposition,[status(thm)],[c_8032,c_104]) ).
tcf(c_8201,plain,
coll(sK23,sK23,sK21),
inference(superposition,[status(thm)],[c_5843,c_5975]) ).
tcf(c_8372,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_8385,plain,
( cyclic(sK22,sK22,sK22,sK22)
| ~ coll(sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8372]) ).
tcf(c_8411,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK20)
| ~ midp(X0,sK21,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6328,c_94]) ).
tcf(c_8412,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK21,X1,sK20)
| ~ midp(sK23,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6352,c_94]) ).
tcf(c_8413,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK23,X1,sK21)
| ~ midp(X0,sK20,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6329,c_94]) ).
tcf(c_8414,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK20,X1,sK21)
| ~ midp(sK23,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6353,c_94]) ).
tcf(c_8415,plain,
! [X0: $i,X1: $i,X2: $i] :
( midp(X0,X1,X2)
| ~ midp(sK20,X1,sK23)
| ~ midp(X2,sK21,X0)
| ~ coll(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_6402,c_94]) ).
tcf(c_8422,plain,
! [X0: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK20,X0,sK21)
| ~ coll(sK21,X0,sK20) ),
inference(superposition,[status(thm)],[c_7183,c_94]) ).
tcf(c_8423,plain,
! [X0: $i] :
( midp(sK23,X0,sK23)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK23,X0,sK23) ),
inference(superposition,[status(thm)],[c_7188,c_94]) ).
tcf(c_8424,plain,
! [X0: $i] :
( midp(sK23,X0,sK22)
| ~ midp(sK22,X0,sK23)
| ~ coll(sK23,X0,sK22) ),
inference(superposition,[status(thm)],[c_7189,c_94]) ).
tcf(c_8425,plain,
! [X0: $i] :
( midp(sK21,X0,sK21)
| ~ midp(sK22,X0,sK22)
| ~ coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7649,c_94]) ).
tcf(c_8430,plain,
! [X0: $i] :
( midp(sK24,X0,sK22)
| ~ midp(sK22,X0,sK24)
| ~ coll(sK24,X0,sK22) ),
inference(superposition,[status(thm)],[c_7778,c_94]) ).
tcf(c_8499,plain,
( midp(sK24,sK22,sK22)
| ~ midp(sK22,sK22,sK24)
| ~ coll(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_8430]) ).
tcf(c_8571,plain,
( midp(sK21,sK23,sK23)
| ~ coll(sK21,sK23,sK23)
| ~ cong(sK21,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_116]) ).
tcf(c_8574,plain,
! [X0: $i,X1: $i,X2: $i] :
( cong(sK21,sK23,X1,X2)
| ~ cong(sK21,sK23,X0,sK23)
| ~ cong(X0,sK23,X1,X2) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_8575,plain,
! [X0: $i] :
( cong(X0,sK23,sK21,sK23)
| ~ cong(sK21,sK23,X0,sK23) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_8578,plain,
( cong(sK22,sK23,sK21,sK23)
| ~ cong(sK21,sK23,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_8575]) ).
tcf(c_8591,plain,
! [X0: $i] :
( coll(sK22,X0,sK24)
| ~ coll(sK24,sK24,X0) ),
inference(superposition,[status(thm)],[c_7971,c_51]) ).
tcf(c_8594,plain,
coll(sK25,sK22,sK24),
inference(superposition,[status(thm)],[c_7971,c_6038]) ).
tcf(c_8597,plain,
( coll(sK22,sK22,sK24)
| ~ coll(sK24,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_8591]) ).
tcf(c_8600,plain,
coll(sK23,sK21,sK23),
inference(superposition,[status(thm)],[c_8201,c_49]) ).
tcf(c_8607,plain,
coll(sK22,sK25,sK24),
inference(superposition,[status(thm)],[c_8594,c_50]) ).
tcf(c_8608,plain,
coll(sK25,sK24,sK22),
inference(superposition,[status(thm)],[c_8594,c_49]) ).
tcf(c_8609,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_8594,c_5962]) ).
tcf(c_8618,plain,
coll(sK21,sK23,sK23),
inference(superposition,[status(thm)],[c_8600,c_50]) ).
tcf(c_8620,plain,
coll(sK20,sK23,sK23),
inference(superposition,[status(thm)],[c_8600,c_5966]) ).
tcf(c_8650,plain,
( midp(sK21,sK20,sK21)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_7336,c_8425]) ).
tcf(c_9141,plain,
! [X0: $i] :
( coll(sK24,X0,sK22)
| ~ coll(sK22,sK25,X0) ),
inference(superposition,[status(thm)],[c_8607,c_51]) ).
tcf(c_9143,plain,
coll(sK22,sK24,sK25),
inference(superposition,[status(thm)],[c_8607,c_49]) ).
tcf(c_9147,plain,
( coll(sK24,sK22,sK22)
| ~ coll(sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_9141]) ).
tcf(c_9151,plain,
coll(sK20,sK22,sK25),
inference(superposition,[status(thm)],[c_8608,c_5961]) ).
tcf(c_9155,plain,
coll(sK24,sK21,sK25),
inference(superposition,[status(thm)],[c_8609,c_50]) ).
tcf(c_9156,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_8609,c_49]) ).
tcf(c_9556,plain,
coll(sK23,sK20,sK23),
inference(superposition,[status(thm)],[c_8620,c_50]) ).
tcf(c_9569,plain,
coll(sK24,sK22,sK25),
inference(superposition,[status(thm)],[c_9143,c_50]) ).
tcf(c_9753,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_6772,c_7261]) ).
tcf(c_9986,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_9151,c_50]) ).
tcf(c_9987,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_9151,c_49]) ).
tcf(c_9998,plain,
coll(sK24,sK25,sK21),
inference(superposition,[status(thm)],[c_9155,c_49]) ).
tcf(c_10220,plain,
( midp(sK21,sK23,sK23)
| ~ midp(sK23,sK23,sK20)
| ~ midp(sK21,sK21,sK23) ),
inference(superposition,[status(thm)],[c_8618,c_8411]) ).
tcf(c_10661,plain,
coll(sK22,sK24,sK22),
inference(superposition,[status(thm)],[c_8607,c_6067]) ).
tcf(c_10687,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_7176,c_113]) ).
tcf(c_10691,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK23,sK22,sK23) ),
inference(superposition,[status(thm)],[c_7188,c_113]) ).
tcf(c_10693,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK22,sK22)
| ~ para(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7649,c_113]) ).
tcf(c_10715,plain,
! [X0: $i] :
( midp(X0,sK21,sK21)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10693,c_7649]) ).
tcf(c_10721,plain,
! [X0: $i] :
( midp(X0,sK23,sK23)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10691,c_7188]) ).
tcf(c_10733,plain,
! [X0: $i] :
( midp(X0,sK20,sK20)
| ~ midp(X0,sK22,sK22) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10687,c_7176]) ).
tcf(c_10774,plain,
( midp(sK22,sK23,sK23)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10721]) ).
tcf(c_10775,plain,
( midp(sK22,sK21,sK21)
| ~ midp(sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_10715]) ).
tcf(c_11066,plain,
coll(sK25,sK23,sK20),
inference(superposition,[status(thm)],[c_6157,c_6079]) ).
tcf(c_11299,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_9986,c_49]) ).
tcf(c_11319,plain,
coll(sK24,sK22,sK20),
inference(superposition,[status(thm)],[c_9987,c_5963]) ).
tcf(c_11359,plain,
( midp(sK20,sK23,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK21,sK23,sK20) ),
inference(superposition,[status(thm)],[c_5840,c_8412]) ).
tcf(c_11360,plain,
( midp(sK21,sK20,sK23)
| ~ midp(sK23,sK21,sK23)
| ~ midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_5843,c_8412]) ).
tcf(c_11374,plain,
( midp(sK24,sK22,sK25)
| ~ midp(sK23,sK24,sK25)
| ~ midp(sK21,sK22,sK20) ),
inference(superposition,[status(thm)],[c_9569,c_8412]) ).
tcf(c_11394,plain,
( midp(sK20,sK20,sK23)
| ~ midp(sK23,sK20,sK23)
| ~ midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_6157,c_8412]) ).
tcf(c_11412,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_7518,c_8412]) ).
tcf(c_11414,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK23,sK20,sK21)
| ~ midp(sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7224,c_8412]) ).
tcf(c_11510,plain,
( midp(sK20,sK21,sK21)
| ~ midp(sK21,sK21,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11414,c_5812]) ).
tcf(c_11516,plain,
( midp(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11412,c_5812]) ).
tcf(c_11630,plain,
( ~ midp(sK23,sK24,sK25)
| ~ midp(sK21,sK22,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11374,c_5852]) ).
tcf(c_11675,plain,
( midp(sK20,sK23,sK21)
| ~ midp(sK21,sK23,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11359,c_5812]) ).
tcf(c_12019,plain,
coll(sK25,sK23,sK21),
inference(superposition,[status(thm)],[c_7244,c_6090]) ).
tcf(c_12304,plain,
coll(sK20,sK21,sK24),
inference(superposition,[status(thm)],[c_9998,c_5965]) ).
tcf(c_12721,plain,
! [X0: $i,X1: $i] :
( cyclic(sK22,X0,sK24,X1)
| ~ midp(sK23,sK22,sK24)
| ~ cong(sK22,sK22,sK22,X1)
| ~ cong(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6575,c_61]) ).
tcf(c_12913,plain,
coll(sK25,sK20,sK23),
inference(superposition,[status(thm)],[c_11066,c_49]) ).
tcf(c_13910,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_9156,c_6134]) ).
tcf(c_14174,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_11299,c_6067]) ).
tcf(c_14175,plain,
coll(sK21,sK20,sK22),
inference(superposition,[status(thm)],[c_11299,c_5967]) ).
tcf(c_14200,plain,
( midp(sK24,sK22,sK20)
| ~ midp(sK23,sK22,sK20)
| ~ midp(sK24,sK21,sK20) ),
inference(superposition,[status(thm)],[c_11319,c_8411]) ).
tcf(c_14815,plain,
coll(sK25,sK21,sK23),
inference(superposition,[status(thm)],[c_12019,c_49]) ).
tcf(c_14873,plain,
coll(sK21,sK20,sK24),
inference(superposition,[status(thm)],[c_12304,c_50]) ).
tcf(c_14874,plain,
coll(sK20,sK24,sK21),
inference(superposition,[status(thm)],[c_12304,c_49]) ).
tcf(c_14875,plain,
coll(sK23,sK24,sK20),
inference(superposition,[status(thm)],[c_12304,c_5976]) ).
tcf(c_14958,plain,
! [X0: $i] :
( cyclic(sK22,sK24,sK24,X0)
| ~ midp(sK23,sK22,sK24)
| ~ cong(sK22,sK22,sK22,X0) ),
inference(superposition,[status(thm)],[c_6575,c_12721]) ).
tcf(c_14996,plain,
( cyclic(sK22,sK24,sK24,sK22)
| ~ midp(sK23,sK22,sK24)
| ~ cong(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_14958]) ).
tcf(c_15194,plain,
! [X0: $i,X1: $i] :
( midp(X0,sK21,X1)
| ~ midp(X0,X1,sK21) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15195,plain,
( midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_15194]) ).
tcf(c_15196,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X1,X0)
| ~ midp(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
tcf(c_15493,plain,
coll(sK24,sK23,sK25),
inference(superposition,[status(thm)],[c_12913,c_5959]) ).
tcf(c_15512,plain,
coll(sK23,sK24,sK25),
inference(superposition,[status(thm)],[c_15493,c_50]) ).
tcf(c_15513,plain,
coll(sK24,sK25,sK23),
inference(superposition,[status(thm)],[c_15493,c_49]) ).
tcf(c_15532,plain,
coll(sK23,sK25,sK24),
inference(superposition,[status(thm)],[c_15512,c_49]) ).
tcf(c_15547,plain,
coll(sK24,sK23,sK24),
inference(superposition,[status(thm)],[c_15513,c_6044]) ).
tcf(c_15634,plain,
! [X0: $i] :
( midp(sK22,X0,sK23)
| ~ midp(sK23,X0,sK22)
| ~ coll(sK22,X0,sK23) ),
inference(superposition,[status(thm)],[c_7355,c_94]) ).
tcf(c_15638,plain,
para(sK23,sK22,sK23,sK22),
inference(superposition,[status(thm)],[c_7355,c_52]) ).
tcf(c_15651,plain,
( midp(sK22,sK22,sK23)
| ~ midp(sK23,sK22,sK22)
| ~ coll(sK22,sK22,sK23) ),
inference(instantiation,[status(thm)],[c_15634]) ).
tcf(c_15672,plain,
! [X0: $i] :
( midp(sK22,X0,sK21)
| ~ midp(sK21,X0,sK22)
| ~ coll(sK22,X0,sK21) ),
inference(superposition,[status(thm)],[c_7658,c_94]) ).
tcf(c_15689,plain,
( midp(sK22,sK22,sK21)
| ~ midp(sK21,sK22,sK22)
| ~ coll(sK22,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_15672]) ).
tcf(c_16371,plain,
! [X0: $i] :
( cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK23,X0,sK23)
| ~ cong(X0,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_8574]) ).
tcf(c_16372,plain,
( cong(sK21,sK23,sK21,sK23)
| ~ cong(sK21,sK23,sK22,sK23)
| ~ cong(sK22,sK23,sK21,sK23) ),
inference(instantiation,[status(thm)],[c_16371]) ).
tcf(c_16990,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_17033,plain,
( cong(sK22,sK22,sK22,sK22)
| ~ cyclic(sK22,sK22,sK22,sK22)
| ~ para(sK22,sK22,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_16990]) ).
tcf(c_17120,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_13910,c_50]) ).
tcf(c_17121,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_13910,c_49]) ).
tcf(c_17166,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK23,sK22,sK22)
| ~ midp(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_14174,c_8412]) ).
tcf(c_17219,plain,
coll(sK23,sK22,sK21),
inference(superposition,[status(thm)],[c_14175,c_5975]) ).
tcf(c_18072,plain,
coll(sK22,sK23,sK25),
inference(superposition,[status(thm)],[c_14815,c_5960]) ).
tcf(c_18197,plain,
( midp(sK21,sK20,sK24)
| ~ midp(sK23,sK20,sK20)
| ~ midp(sK21,sK21,sK24) ),
inference(superposition,[status(thm)],[c_14873,c_8411]) ).
tcf(c_18220,plain,
coll(sK23,sK22,sK25),
inference(superposition,[status(thm)],[c_18072,c_50]) ).
tcf(c_18596,plain,
coll(sK24,sK20,sK21),
inference(superposition,[status(thm)],[c_14874,c_50]) ).
tcf(c_18676,plain,
! [X0: $i] :
( coll(sK24,X0,sK23)
| ~ coll(sK23,sK25,X0) ),
inference(superposition,[status(thm)],[c_15532,c_51]) ).
tcf(c_18687,plain,
( coll(sK24,sK22,sK23)
| ~ coll(sK23,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_18676]) ).
tcf(c_18716,plain,
coll(sK23,sK20,sK24),
inference(superposition,[status(thm)],[c_14875,c_49]) ).
tcf(c_18764,plain,
coll(sK24,sK24,sK23),
inference(superposition,[status(thm)],[c_15547,c_49]) ).
tcf(c_18865,plain,
coll(sK23,sK25,sK22),
inference(superposition,[status(thm)],[c_18220,c_49]) ).
tcf(c_19299,plain,
coll(sK23,sK21,sK22),
inference(superposition,[status(thm)],[c_17219,c_49]) ).
tcf(c_21008,plain,
( midp(sK24,sK20,sK21)
| ~ midp(sK20,sK20,sK21)
| ~ coll(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_6583,c_116]) ).
tcf(c_21025,plain,
( midp(sK24,sK20,sK21)
| ~ midp(sK20,sK20,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_21008,c_18596]) ).
tcf(c_21131,plain,
( midp(sK24,sK22,sK23)
| ~ midp(sK22,sK22,sK23)
| ~ coll(sK24,sK22,sK23) ),
inference(superposition,[status(thm)],[c_6584,c_116]) ).
tcf(c_22219,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK22,sK20)
| ~ coll(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_6822,c_116]) ).
tcf(c_22232,plain,
( midp(sK22,sK20,sK22)
| ~ midp(sK21,sK22,sK20) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22219,c_14174]) ).
tcf(c_22532,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK23,sK23)
| ~ para(sK23,sK22,sK23,sK22) ),
inference(superposition,[status(thm)],[c_15638,c_113]) ).
tcf(c_22542,plain,
! [X0: $i] :
( midp(X0,sK22,sK22)
| ~ midp(X0,sK23,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_22532,c_15638]) ).
tcf(c_22924,plain,
! [X0: $i] :
( perp(sK22,sK23,sK22,X0)
| ~ midp(sK24,sK22,sK23)
| ~ cong(sK22,X0,sK23,X0) ),
inference(superposition,[status(thm)],[c_7371,c_105]) ).
tcf(c_22933,plain,
( perp(sK22,sK23,sK22,sK22)
| ~ midp(sK24,sK22,sK23)
| ~ cong(sK22,sK22,sK23,sK22) ),
inference(instantiation,[status(thm)],[c_22924]) ).
tcf(c_25038,plain,
( cyclic(sK22,sK24,sK24,sK22)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_9753,c_14958]) ).
tcf(c_25300,plain,
coll(sK22,sK23,sK24),
inference(superposition,[status(thm)],[c_18764,c_8591]) ).
tcf(c_25442,plain,
coll(sK23,sK22,sK24),
inference(superposition,[status(thm)],[c_25300,c_50]) ).
tcf(c_25984,plain,
( cyclic(sK22,sK24,sK22,sK24)
| ~ midp(sK23,sK22,sK24) ),
inference(superposition,[status(thm)],[c_25038,c_62]) ).
tcf(c_28934,plain,
( perp(sK22,sK23,sK20,sK24)
| ~ midp(sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_8032,c_7353]) ).
tcf(c_28997,plain,
( para(sK24,sK22,sK20,sK24)
| ~ midp(sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_28934,c_6915]) ).
tcf(c_29643,plain,
! [X0: $i] :
( midp(sK22,X0,sK24)
| ~ midp(sK22,sK21,sK21)
| ~ midp(sK24,X0,sK20)
| ~ coll(sK22,X0,sK24) ),
inference(superposition,[status(thm)],[c_28997,c_94]) ).
tcf(c_29664,plain,
( midp(sK22,sK22,sK24)
| ~ midp(sK22,sK21,sK21)
| ~ midp(sK24,sK22,sK20)
| ~ coll(sK22,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_29643]) ).
tcf(c_29849,plain,
! [X0: $i] :
( para(sK22,sK23,X0,sK20)
| ~ midp(sK22,sK21,X0) ),
inference(superposition,[status(thm)],[c_6403,c_7354]) ).
tcf(c_29929,plain,
! [X0: $i,X1: $i] :
( midp(sK23,X0,sK20)
| ~ midp(sK22,sK21,X1)
| ~ coll(sK23,X0,sK20)
| ~ midp(sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_29849,c_94]) ).
tcf(c_29953,plain,
( midp(sK23,sK22,sK20)
| ~ midp(sK22,sK21,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_29929]) ).
tcf(c_30364,plain,
! [X0: $i] :
( para(sK22,sK21,X0,sK20)
| ~ midp(sK23,sK22,X0) ),
inference(superposition,[status(thm)],[c_6415,c_7657]) ).
tcf(c_30860,plain,
! [X0: $i,X1: $i] :
( midp(sK21,X0,sK20)
| ~ midp(sK23,sK22,X1)
| ~ coll(sK21,X0,sK20)
| ~ midp(sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_30364,c_94]) ).
tcf(c_30884,plain,
( midp(sK21,sK22,sK20)
| ~ midp(sK23,sK22,sK22)
| ~ midp(sK22,sK22,sK22)
| ~ coll(sK21,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_30860]) ).
tcf(c_31430,plain,
( midp(sK21,sK20,sK20)
| ~ midp(sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7860,c_8422]) ).
tcf(c_31807,plain,
( midp(sK23,sK21,sK23)
| ~ midp(sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_8600,c_8423]) ).
tcf(c_31808,plain,
( midp(sK23,sK20,sK23)
| ~ midp(sK22,sK20,sK22) ),
inference(superposition,[status(thm)],[c_9556,c_8423]) ).
tcf(c_31838,plain,
( midp(sK23,sK23,sK22)
| ~ midp(sK22,sK23,sK23) ),
inference(superposition,[status(thm)],[c_7602,c_8424]) ).
tcf(c_34630,plain,
midp(sK21,sK23,sK23),
inference(global_subsumption_just,[status(thm)],[c_10220,c_164,c_5884,c_6301,c_8571,c_8578,c_8618,c_16372]) ).
tcf(c_34871,plain,
midp(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_34630,c_22542]) ).
tcf(c_34999,plain,
! [X0: $i,X1: $i] :
( para(sK22,X0,sK22,X1)
| ~ midp(sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_34871,c_112]) ).
tcf(c_35003,plain,
midp(sK21,sK20,sK20),
inference(superposition,[status(thm)],[c_34871,c_10733]) ).
tcf(c_35005,plain,
midp(sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_34871,c_10715]) ).
tcf(c_35011,plain,
midp(sK20,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_11516,c_35003]) ).
tcf(c_35013,plain,
midp(sK24,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_21025,c_35011]) ).
tcf(c_35033,plain,
( para(sK22,sK22,sK22,sK22)
| ~ midp(sK21,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_34999]) ).
tcf(c_35053,plain,
( cong(sK23,sK20,sK23,sK24)
| ~ midp(sK21,sK20,sK24) ),
inference(superposition,[status(thm)],[c_35005,c_8077]) ).
tcf(c_35208,plain,
( midp(sK23,sK20,sK24)
| ~ midp(sK21,sK20,sK24)
| ~ coll(sK23,sK20,sK24) ),
inference(superposition,[status(thm)],[c_35053,c_116]) ).
tcf(c_35226,plain,
( midp(sK23,sK20,sK24)
| ~ midp(sK21,sK20,sK24) ),
inference(forward_subsumption_resolution,[status(thm)],[c_35208,c_18716]) ).
tcf(c_35568,plain,
! [X0: $i,X1: $i] :
( para(sK20,X0,sK21,X1)
| ~ midp(sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_35013,c_112]) ).
tcf(c_35571,plain,
midp(sK24,sK21,sK20),
inference(superposition,[status(thm)],[c_35013,c_59]) ).
tcf(c_35577,plain,
( para(sK20,sK22,sK21,sK22)
| ~ midp(sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_35568]) ).
tcf(c_36134,plain,
midp(sK21,sK20,sK23),
inference(global_subsumption_just,[status(thm)],[c_11360,c_5806,c_6024,c_6835,c_7518,c_11360,c_15195,c_15689,c_31430,c_31807,c_34871,c_35013]) ).
tcf(c_36139,plain,
midp(sK21,sK23,sK20),
inference(superposition,[status(thm)],[c_36134,c_59]) ).
tcf(c_36145,plain,
midp(sK20,sK23,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_11675,c_36139]) ).
tcf(c_36150,plain,
midp(sK20,sK21,sK23),
inference(superposition,[status(thm)],[c_36145,c_59]) ).
tcf(c_36466,plain,
( midp(sK23,sK22,sK24)
| ~ midp(sK23,sK20,sK24)
| ~ midp(sK23,sK22,sK21) ),
inference(superposition,[status(thm)],[c_25442,c_8413]) ).
tcf(c_36469,plain,
( midp(sK24,sK21,sK21)
| ~ midp(sK23,sK21,sK21)
| ~ midp(sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_17120,c_8413]) ).
tcf(c_36613,plain,
( midp(sK24,sK21,sK21)
| ~ midp(sK23,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36469,c_35013]) ).
tcf(c_37341,plain,
! [X0: $i] :
( midp(sK23,X0,sK21)
| ~ midp(sK23,sK21,X0) ),
inference(instantiation,[status(thm)],[c_15196]) ).
tcf(c_37347,plain,
( midp(sK23,sK22,sK21)
| ~ midp(sK23,sK21,sK22) ),
inference(instantiation,[status(thm)],[c_37341]) ).
tcf(c_38019,plain,
( midp(sK23,sK21,sK22)
| ~ midp(sK23,sK23,sK22)
| ~ midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_19299,c_8414]) ).
tcf(c_38078,plain,
( midp(sK21,sK21,sK23)
| ~ midp(sK23,sK21,sK23)
| ~ midp(sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_7244,c_8414]) ).
tcf(c_39983,plain,
midp(sK22,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_22232,c_174,c_5806,c_5812,c_6024,c_6063,c_6072,c_6163,c_6756,c_6835,c_7518,c_7592,c_7971,c_8385,c_8499,c_8597,c_9147,c_10775,c_14200,c_15195,c_15689,c_17033,c_17166,c_29664,c_29953,c_31430,c_34871,c_35013,c_35033,c_35571,c_35577]) ).
tcf(c_39986,plain,
midp(sK21,sK20,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_8650,c_39983]) ).
tcf(c_40110,plain,
midp(sK21,sK21,sK20),
inference(superposition,[status(thm)],[c_39986,c_59]) ).
tcf(c_40115,plain,
midp(sK20,sK21,sK21),
inference(backward_subsumption_resolution,[status(thm)],[c_11510,c_40110]) ).
tcf(c_40294,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK20,sK21,sK23)
| ~ midp(sK20,sK20,sK23) ),
inference(superposition,[status(thm)],[c_6257,c_8415]) ).
tcf(c_40323,plain,
( midp(sK23,sK21,sK21)
| ~ midp(sK21,sK21,sK23)
| ~ midp(sK20,sK21,sK23) ),
inference(superposition,[status(thm)],[c_7606,c_8415]) ).
tcf(c_40422,plain,
( midp(sK21,sK21,sK24)
| ~ midp(sK20,sK21,sK23)
| ~ midp(sK24,sK21,sK21) ),
inference(superposition,[status(thm)],[c_17121,c_8415]) ).
tcf(c_40570,plain,
( midp(sK21,sK21,sK24)
| ~ midp(sK24,sK21,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40422,c_36150]) ).
tcf(c_40752,plain,
( midp(sK23,sK21,sK21)
| ~ midp(sK21,sK21,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40323,c_36150]) ).
tcf(c_40815,plain,
( midp(sK23,sK20,sK20)
| ~ midp(sK20,sK20,sK23) ),
inference(forward_subsumption_resolution,[status(thm)],[c_40294,c_36150]) ).
tcf(c_71435,plain,
! [X0: $i,X1: $i] :
( midp(sK23,sK24,sK25)
| ~ coll(sK23,sK24,sK25)
| ~ midp(X0,sK24,X1)
| ~ para(X0,sK23,X1,sK25) ),
inference(instantiation,[status(thm)],[c_94]) ).
tcf(c_71436,plain,
( midp(sK23,sK24,sK25)
| ~ midp(sK22,sK24,sK22)
| ~ coll(sK23,sK24,sK25)
| ~ para(sK22,sK23,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_71435]) ).
tcf(c_80102,plain,
! [X0: $i] :
( para(sK22,sK23,X0,sK25)
| ~ perp(sK22,sK23,sK22,sK24)
| ~ perp(sK22,sK24,X0,sK25) ),
inference(instantiation,[status(thm)],[c_6314]) ).
tcf(c_80104,plain,
( para(sK22,sK23,sK22,sK25)
| ~ perp(sK22,sK23,sK22,sK24)
| ~ perp(sK22,sK24,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_80102]) ).
tcf(c_85595,plain,
! [X0: $i] :
( perp(sK22,sK24,X0,sK25)
| ~ cong(sK22,sK25,sK24,sK25)
| ~ cong(sK22,X0,sK24,X0) ),
inference(instantiation,[status(thm)],[c_105]) ).
tcf(c_85596,plain,
( perp(sK22,sK24,sK22,sK25)
| ~ cong(sK22,sK25,sK24,sK25)
| ~ cong(sK22,sK22,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_85595]) ).
tcf(c_90058,plain,
! [X0: $i] :
( cyclic(sK24,sK22,X0,sK25)
| ~ cyclic(sK24,sK22,sK25,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_90059,plain,
( cyclic(sK24,sK22,sK22,sK25)
| ~ cyclic(sK24,sK22,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_90058]) ).
tcf(c_131413,plain,
! [X0: $i,X1: $i] :
( cong(X0,X1,sK24,sK25)
| ~ cong(sK24,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_131438,plain,
! [X0: $i] :
( cyclic(sK24,sK22,X0,sK25)
| ~ cyclic(sK24,sK22,sK25,X0) ),
inference(instantiation,[status(thm)],[c_62]) ).
tcf(c_131441,plain,
! [X0: $i] :
( cyclic(sK24,sK22,X0,sK25)
| ~ coll(X0,sK25,sK22)
| ~ eqangle(X0,sK24,X0,sK22,sK25,sK24,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_131608,plain,
! [X0: $i] :
( cyclic(sK24,X0,sK22,sK25)
| ~ cyclic(sK24,sK22,X0,sK25) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_131615,plain,
! [X0: $i] :
( cyclic(sK24,sK22,sK25,X0)
| ~ cyclic(sK24,sK25,sK22,X0) ),
inference(instantiation,[status(thm)],[c_63]) ).
tcf(c_131616,plain,
( cyclic(sK24,sK22,sK25,sK22)
| ~ cyclic(sK24,sK25,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_131615]) ).
tcf(c_131633,plain,
! [X0: $i] :
( cyclic(sK22,sK24,X0,sK25)
| ~ cyclic(sK24,sK22,X0,sK25) ),
inference(instantiation,[status(thm)],[c_64]) ).
tcf(c_131634,plain,
( cyclic(sK22,sK24,sK22,sK25)
| ~ cyclic(sK24,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_131633]) ).
tcf(c_131660,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( cong(sK24,sK25,X2,X3)
| ~ cyclic(sK24,sK25,X0,X3)
| ~ cyclic(sK24,sK25,X0,X2)
| ~ cyclic(sK24,sK25,X0,X1)
| ~ eqangle(X0,sK24,X0,sK25,X1,X2,X1,X3) ),
inference(instantiation,[status(thm)],[c_92]) ).
tcf(c_131661,plain,
! [X0: $i] :
( cong(X0,sK25,sK24,sK25)
| ~ cong(sK24,sK25,X0,sK25) ),
inference(instantiation,[status(thm)],[c_131413]) ).
tcf(c_131663,plain,
( cong(sK22,sK25,sK24,sK25)
| ~ cong(sK24,sK25,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_131661]) ).
tcf(c_131752,plain,
( cyclic(sK24,sK22,sK25,sK25)
| ~ coll(sK25,sK25,sK22)
| ~ eqangle(sK25,sK24,sK25,sK22,sK25,sK24,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_131441]) ).
tcf(c_131753,plain,
( eqangle(sK25,sK24,sK25,sK22,sK25,sK24,sK25,sK22)
| ~ para(sK25,sK24,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_132824,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( para(sK25,sK24,sK25,sK24)
| ~ para(X0,X1,X2,X3)
| ~ eqangle(sK25,sK24,sK25,sK24,X0,X1,X2,X3) ),
inference(instantiation,[status(thm)],[c_122]) ).
tcf(c_132892,plain,
! [X0: $i] :
( cyclic(sK24,sK25,sK22,X0)
| ~ coll(sK22,X0,sK25)
| ~ eqangle(sK22,sK24,sK22,sK25,X0,sK24,X0,sK25) ),
inference(instantiation,[status(thm)],[c_91]) ).
tcf(c_132893,plain,
( cyclic(sK24,sK25,sK22,sK22)
| ~ coll(sK22,sK22,sK25)
| ~ eqangle(sK22,sK24,sK22,sK25,sK22,sK24,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_132892]) ).
tcf(c_133047,plain,
! [X0: $i,X1: $i] :
( cyclic(X1,sK24,sK25,sK22)
| ~ cyclic(X0,X1,sK24,sK25)
| ~ cyclic(X0,X1,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_133071,plain,
! [X0: $i,X1: $i] :
( cyclic(sK24,X1,sK25,sK24)
| ~ cyclic(X0,sK24,X1,sK25)
| ~ cyclic(X0,sK24,X1,sK24) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_133072,plain,
( cyclic(sK24,sK22,sK25,sK24)
| ~ cyclic(sK22,sK24,sK22,sK25)
| ~ cyclic(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_133071]) ).
tcf(c_135338,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( eqangle(X0,sK24,X3,sK25,X1,X2,X3,sK25)
| ~ para(X0,sK24,X1,X2) ),
inference(instantiation,[status(thm)],[c_88]) ).
tcf(c_135340,plain,
( eqangle(sK22,sK24,sK22,sK25,sK22,sK22,sK22,sK25)
| ~ para(sK22,sK24,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_135338]) ).
tcf(c_140989,plain,
! [X0: $i] :
( para(sK25,sK24,sK25,sK24)
| ~ para(X0,sK24,X0,sK24)
| ~ eqangle(sK25,sK24,sK25,sK24,X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_132824]) ).
tcf(c_140990,plain,
! [X0: $i] :
( eqangle(sK25,sK24,sK25,sK24,X0,sK24,X0,sK24)
| ~ cyclic(sK24,sK24,sK25,X0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_140991,plain,
( para(sK25,sK24,sK25,sK24)
| ~ para(sK22,sK24,sK22,sK24)
| ~ eqangle(sK25,sK24,sK25,sK24,sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_140989]) ).
tcf(c_140992,plain,
( eqangle(sK25,sK24,sK25,sK24,sK22,sK24,sK22,sK24)
| ~ cyclic(sK24,sK24,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_140990]) ).
tcf(c_142232,plain,
! [X0: $i] :
( eqangle(X0,sK24,X0,sK25,X0,sK24,X0,sK25)
| ~ para(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_135338]) ).
tcf(c_142234,plain,
( eqangle(sK22,sK24,sK22,sK25,sK22,sK24,sK22,sK25)
| ~ para(sK22,sK24,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_142232]) ).
tcf(c_143211,plain,
( cyclic(sK24,sK22,sK24,sK25)
| ~ cyclic(sK24,sK22,sK25,sK24) ),
inference(instantiation,[status(thm)],[c_131438]) ).
tcf(c_143295,plain,
( cyclic(sK22,sK24,sK24,sK25)
| ~ cyclic(sK24,sK22,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_131633]) ).
tcf(c_143297,plain,
( cyclic(sK24,sK24,sK25,sK22)
| ~ cyclic(sK22,sK24,sK24,sK25)
| ~ cyclic(sK22,sK24,sK24,sK22) ),
inference(instantiation,[status(thm)],[c_133047]) ).
tcf(c_143508,plain,
! [X0: $i] :
( cong(sK24,sK25,X0,sK25)
| ~ cyclic(sK24,sK25,sK22,sK25)
| ~ cyclic(sK24,sK25,sK22,sK22)
| ~ cyclic(sK24,sK25,sK22,X0)
| ~ eqangle(sK22,sK24,sK22,sK25,sK22,X0,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_131660]) ).
tcf(c_143510,plain,
( cong(sK24,sK25,sK22,sK25)
| ~ cyclic(sK24,sK25,sK22,sK25)
| ~ cyclic(sK24,sK25,sK22,sK22)
| ~ eqangle(sK22,sK24,sK22,sK25,sK22,sK22,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_143508]) ).
tcf(c_143855,plain,
( cyclic(sK24,sK25,sK22,sK25)
| ~ cyclic(sK24,sK22,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_131608]) ).
tcf(c_143856,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_143855,c_143510,c_143297,c_143295,c_143211,c_142234,c_140992,c_140991,c_135340,c_133072,c_132893,c_131753,c_131752,c_131663,c_131634,c_131616,c_90059,c_85596,c_80104,c_71436,c_40570,c_40752,c_40815,c_40115,c_38019,c_38078,c_37347,c_36466,c_36613,c_35577,c_35571,c_35226,c_35033,c_35013,c_34871,c_31838,c_31807,c_31808,c_31430,c_30884,c_29953,c_29664,c_25984,c_22933,c_21131,c_18865,c_18687,c_18197,c_17166,c_17033,c_15689,c_15651,c_15512,c_15195,c_14996,c_14200,c_11394,c_11630,c_10775,c_10774,c_10661,c_9147,c_8597,c_8499,c_8385,c_7971,c_7777,c_7746,c_7724,c_7602,c_7592,c_7518,c_7482,c_7371,c_6994,c_6835,c_6773,c_6756,c_6181,c_6163,c_6072,c_6063,c_6027,c_6024,c_5812,c_5806,c_174,c_166,c_168]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO590+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 12:34:26 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 37.02/6.79 % SZS status Started for theBenchmark.p
% 37.02/6.79 % SZS status Theorem for theBenchmark.p
% 37.02/6.79
% 37.02/6.79 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 37.02/6.79
% 37.02/6.79 % ------ iProver source info
% 37.02/6.79
% 37.02/6.79 % git: date: 2026-07-19 20:42:38 +0200
% 37.02/6.79 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 37.02/6.79 % git: non_committed_changes: false
% 37.02/6.79
% 37.02/6.79 % ------ Parsing...
% 37.02/6.79 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 37.02/6.79
% 37.02/6.79 % ------ 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 %
% 37.02/6.79
% 37.02/6.79 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 37.02/6.79
% 37.02/6.79 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 37.02/6.79 % ------ Proving...
% 37.02/6.79 % ------ Problem Properties
% 37.02/6.79
% 37.02/6.79 %
% 37.02/6.79 % clauses 119
% 37.02/6.79 % conjectures 7
% 37.02/6.79 % EPR 82
% 37.02/6.79 % Horn 109
% 37.02/6.79 % unary 7
% 37.02/6.79 % binary 37
% 37.02/6.79 % lits 335
% 37.02/6.79 % lits eq 4
% 37.02/6.79 % fd_pure 0
% 37.02/6.79 % fd_pseudo 0
% 37.02/6.79 % fd_cond 0
% 37.02/6.79 % fd_pseudo_cond 4
% 37.02/6.79 % AC symbols 0
% 37.02/6.79
% 37.02/6.79 % ------ Schedule dynamic 5 is on
% 37.02/6.79
% 37.02/6.79 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 37.02/6.79
% 37.02/6.79
% 37.02/6.79 % ------
% 37.02/6.79 % Current options:
% 37.02/6.79 % ------
% 37.02/6.79
% 37.02/6.79
% 37.02/6.79 %
% 37.02/6.79
% 37.02/6.79 % ------ Proving...
% 37.02/6.79 %
% 37.02/6.79
% 37.02/6.79 % SZS status Theorem for theBenchmark.p
% 37.02/6.79
% 37.02/6.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.83/6.81
% 28.83/6.81
%------------------------------------------------------------------------------