TSTP Solution File: GEO544+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO544+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:48:33 EDT 2023
% Result : Theorem 1.09s 1.20s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 69
% Syntax : Number of formulae : 190 ( 47 unt; 42 typ; 0 def)
% Number of atoms : 330 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 297 ( 115 ~; 112 |; 42 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 138 ( 31 >; 107 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 31 ( 31 usr; 11 con; 0-6 aty)
% Number of variables : 514 ( 30 sgn; 268 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
coll: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
para: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
midp: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_0: $i ).
tff(decl_54,type,
esk22_0: $i ).
tff(decl_55,type,
esk23_0: $i ).
tff(decl_56,type,
esk24_0: $i ).
tff(decl_57,type,
esk25_0: $i ).
tff(decl_58,type,
esk26_0: $i ).
tff(decl_59,type,
esk27_0: $i ).
tff(decl_60,type,
esk28_0: $i ).
tff(decl_61,type,
esk29_0: $i ).
tff(decl_62,type,
esk30_0: $i ).
tff(decl_63,type,
esk31_0: $i ).
fof(exemplo6GDDFULL012004,conjecture,
! [X1,X2,X3,X8,X4,X10,X19,X20,X7,X21,X22] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X22)
& midp(X10,X3,X2)
& midp(X19,X1,X4)
& midp(X20,X19,X10)
& coll(X8,X20,X7)
& cong(X8,X20,X8,X7)
& coll(X21,X1,X4)
& coll(X21,X2,X3) )
=> perp(X19,X7,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012004) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X10,X19,X20,X7,X21,X22] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X22)
& midp(X10,X3,X2)
& midp(X19,X1,X4)
& midp(X20,X19,X10)
& coll(X8,X20,X7)
& cong(X8,X20,X8,X7)
& coll(X21,X1,X4)
& coll(X21,X2,X3) )
=> perp(X19,X7,X2,X3) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012004]) ).
fof(c_0_28,plain,
! [X55,X56,X57,X58,X59,X60] :
( ~ perp(X55,X56,X57,X58)
| ~ perp(X57,X58,X59,X60)
| para(X55,X56,X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_29,plain,
! [X497,X498,X499,X500] :
( ~ circle(X500,X497,X498,X499)
| perp(esk12_4(X497,X498,X499,X500),X497,X497,X500) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_30,plain,
! [X51,X52,X53,X54] :
( ~ perp(X51,X52,X53,X54)
| perp(X53,X54,X51,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_31,plain,
! [X26,X27,X28] :
( ~ coll(X26,X27,X28)
| coll(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_32,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk31_0)
& midp(esk26_0,esk23_0,esk22_0)
& midp(esk27_0,esk21_0,esk25_0)
& midp(esk28_0,esk27_0,esk26_0)
& coll(esk24_0,esk28_0,esk29_0)
& cong(esk24_0,esk28_0,esk24_0,esk29_0)
& coll(esk30_0,esk21_0,esk25_0)
& coll(esk30_0,esk22_0,esk23_0)
& ~ perp(esk27_0,esk29_0,esk22_0,esk23_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,plain,
! [X144,X145,X146,X147] :
( ~ cong(X144,X145,X146,X147)
| cong(X146,X147,X144,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
fof(c_0_37,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X23,X25,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_38,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
coll(esk24_0,esk28_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_42,plain,
! [X140,X141,X142,X143] :
( ~ cong(X140,X141,X142,X143)
| cong(X140,X141,X143,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_43,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
cong(esk24_0,esk28_0,esk24_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_45,plain,
! [X29,X30,X31,X32] :
( ~ coll(X29,X30,X31)
| ~ coll(X29,X30,X32)
| coll(X31,X32,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_46,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,negated_conjecture,
coll(esk28_0,esk24_0,esk29_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_48,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X33,X34,X36,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_49,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_51,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
cong(esk24_0,esk29_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,negated_conjecture,
coll(esk28_0,esk29_0,esk24_0),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_55,plain,
! [X104,X105,X106,X107,X108,X109,X110,X111] :
( ~ eqangle(X104,X105,X106,X107,X108,X109,X110,X111)
| eqangle(X106,X107,X104,X105,X110,X111,X108,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_56,plain,
! [X258,X259,X260,X261,X262,X263] :
( ~ para(X258,X259,X260,X261)
| eqangle(X258,X259,X262,X263,X260,X261,X262,X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_57,plain,
! [X37,X38,X39,X40] :
( ~ para(X37,X38,X39,X40)
| para(X39,X40,X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_58,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_59,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_60,plain,
! [X148,X149,X150,X151,X152,X153] :
( ~ cong(X148,X149,X150,X151)
| ~ cong(X150,X151,X152,X153)
| cong(X148,X149,X152,X153) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_61,negated_conjecture,
cong(esk24_0,esk29_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
cong(esk24_0,esk28_0,esk29_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_44]) ).
cnf(c_0_63,negated_conjecture,
( coll(X1,esk24_0,esk28_0)
| ~ coll(esk28_0,esk29_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_64,plain,
! [X252,X253,X254,X255,X256,X257] :
( ~ eqangle(X252,X253,X256,X257,X254,X255,X256,X257)
| para(X252,X253,X254,X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_65,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_67,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_68,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_69,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,negated_conjecture,
cong(esk28_0,esk24_0,esk24_0,esk29_0),
inference(spm,[status(thm)],[c_0_43,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
cong(esk29_0,esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_43,c_0_62]) ).
cnf(c_0_72,negated_conjecture,
coll(esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_63,c_0_54]) ).
cnf(c_0_73,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_74,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( cong(X1,X2,esk24_0,esk29_0)
| ~ cong(X1,X2,esk28_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_77,negated_conjecture,
cong(esk29_0,esk24_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_71]) ).
cnf(c_0_78,negated_conjecture,
( coll(X1,esk29_0,esk24_0)
| ~ coll(esk24_0,esk28_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_39]) ).
cnf(c_0_79,negated_conjecture,
coll(esk24_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_46,c_0_72]) ).
fof(c_0_80,plain,
! [X377,X378,X379,X380,X381] :
( ~ midp(X381,X377,X378)
| ~ para(X377,X379,X378,X380)
| ~ para(X377,X380,X378,X379)
| midp(X381,X379,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_81,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_75]) ).
fof(c_0_83,plain,
! [X390,X391,X392] :
( ~ cong(X390,X391,X390,X392)
| ~ coll(X390,X391,X392)
| midp(X390,X391,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_84,negated_conjecture,
cong(esk29_0,esk24_0,esk24_0,esk29_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
coll(esk24_0,esk29_0,esk24_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_88,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,negated_conjecture,
cong(esk29_0,esk24_0,esk29_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
coll(esk29_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_38,c_0_85]) ).
fof(c_0_91,plain,
! [X429,X430,X431,X432,X433,X434,X435,X436] :
( ~ eqratio(X429,X430,X431,X432,X433,X434,X435,X436)
| ~ cong(X433,X434,X435,X436)
| cong(X429,X430,X431,X432) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_92,plain,
! [X399,X400,X401,X402,X403,X404] :
( ~ midp(X403,X399,X400)
| ~ midp(X404,X401,X402)
| eqratio(X403,X399,X399,X400,X404,X401,X401,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
fof(c_0_93,plain,
! [X393,X394,X395] :
( ~ midp(X393,X394,X395)
| cong(X393,X394,X393,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_94,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87])]) ).
cnf(c_0_95,negated_conjecture,
midp(esk29_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
fof(c_0_96,plain,
! [X387,X388,X389] :
( ~ para(X387,X388,X387,X389)
| coll(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_97,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_98,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_99,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_100,negated_conjecture,
midp(esk29_0,X1,X1),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_101,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,negated_conjecture,
cong(esk29_0,X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_101,c_0_87]) ).
cnf(c_0_105,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_100])]) ).
cnf(c_0_106,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_104]) ).
fof(c_0_107,plain,
! [X413,X414,X415,X416,X417,X418,X419,X420] :
( ~ eqangle(X413,X414,X415,X416,X417,X418,X419,X420)
| ~ para(X417,X418,X419,X420)
| para(X413,X414,X415,X416) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_108,plain,
! [X292,X293,X294] :
( ~ cong(X294,X292,X294,X293)
| eqangle(X294,X292,X292,X293,X292,X293,X294,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_109,negated_conjecture,
cong(esk29_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_105,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_106]) ).
fof(c_0_111,plain,
! [X287,X288,X289,X290,X291] :
( ~ midp(X290,X287,X288)
| ~ para(X290,X291,X288,X289)
| ~ coll(X291,X287,X289)
| midp(X291,X287,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_112,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_113,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_114,negated_conjecture,
cong(X1,X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_43,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_110]),c_0_110])]) ).
cnf(c_0_116,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_111]) ).
cnf(c_0_117,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
cong(X1,X1,X1,esk29_0),
inference(spm,[status(thm)],[c_0_51,c_0_114]) ).
fof(c_0_119,plain,
! [X67,X68,X69] :
( ~ midp(X69,X68,X67)
| midp(X69,X67,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_120,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_115])]) ).
cnf(c_0_121,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_115])]) ).
cnf(c_0_122,negated_conjecture,
para(X1,X1,X1,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_87])]) ).
cnf(c_0_123,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_124,negated_conjecture,
midp(X1,X1,esk29_0),
inference(spm,[status(thm)],[c_0_120,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
( midp(X1,X2,esk29_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
midp(X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
fof(c_0_127,plain,
! [X463,X464,X465,X466,X467,X468] :
( ( midp(esk6_6(X463,X464,X465,X466,X467,X468),X463,X466)
| ~ midp(X467,X463,X464)
| ~ midp(X468,X465,X466) )
& ( para(esk6_6(X463,X464,X465,X466,X467,X468),X467,X464,X466)
| ~ midp(X467,X463,X464)
| ~ midp(X468,X465,X466) )
& ( para(esk6_6(X463,X464,X465,X466,X467,X468),X468,X463,X465)
| ~ midp(X467,X463,X464)
| ~ midp(X468,X465,X466) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_128,negated_conjecture,
midp(X1,esk29_0,esk29_0),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_129,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_130,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_87]) ).
cnf(c_0_131,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_94,c_0_128]) ).
cnf(c_0_132,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_87]) ).
cnf(c_0_135,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_132,c_0_115])]) ).
cnf(c_0_136,negated_conjecture,
midp(X1,X2,esk29_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_133])]) ).
cnf(c_0_137,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_134]) ).
cnf(c_0_138,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_136])]) ).
cnf(c_0_139,negated_conjecture,
midp(esk29_0,X1,X2),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
cnf(c_0_140,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
fof(c_0_141,plain,
! [X334,X335,X336,X337] :
( ~ cong(X334,X336,X335,X336)
| ~ cong(X334,X337,X335,X337)
| perp(X334,X335,X336,X337) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_142,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_140])]) ).
cnf(c_0_143,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_144,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_51,c_0_142]) ).
cnf(c_0_145,negated_conjecture,
~ perp(esk27_0,esk29_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_146,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144]),c_0_144])]) ).
cnf(c_0_147,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO544+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 22:09:39 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.49/0.56 start to proof: theBenchmark
% 1.09/1.20 % Version : CSE_E---1.5
% 1.09/1.20 % Problem : theBenchmark.p
% 1.09/1.20 % Proof found
% 1.09/1.20 % SZS status Theorem for theBenchmark.p
% 1.09/1.20 % SZS output start Proof
% See solution above
% 1.09/1.21 % Total time : 0.625000 s
% 1.09/1.21 % SZS output end Proof
% 1.09/1.21 % Total time : 0.630000 s
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