TSTP Solution File: GEO605+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 22:48:50 EDT 2023
% Result : Theorem 0.92s 0.99s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 64
% Syntax : Number of formulae : 168 ( 45 unt; 42 typ; 0 def)
% Number of atoms : 293 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 260 ( 93 ~; 90 |; 54 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 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 : 435 ( 28 sgn; 230 !; 1 ?; 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(exemplo6GDDFULL618067,conjecture,
! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_22,negated_conjecture,
~ ! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618067]) ).
fof(c_0_23,plain,
! [X106,X107,X108,X109,X110,X111,X112,X113] :
( ~ eqangle(X106,X107,X108,X109,X110,X111,X112,X113)
| eqangle(X108,X109,X106,X107,X112,X113,X110,X111) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_24,negated_conjecture,
( eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& perp(esk22_0,esk24_0,esk22_0,esk25_0)
& perp(esk23_0,esk24_0,esk23_0,esk26_0)
& coll(esk25_0,esk23_0,esk24_0)
& coll(esk26_0,esk22_0,esk24_0)
& midp(esk27_0,esk26_0,esk25_0)
& midp(esk29_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk29_0,esk28_0)
& midp(esk30_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk30_0,esk28_0)
& midp(esk31_0,esk24_0,esk23_0)
& perp(esk24_0,esk23_0,esk31_0,esk28_0)
& ~ perp(esk27_0,esk22_0,esk22_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
fof(c_0_25,plain,
! [X260,X261,X262,X263,X264,X265] :
( ~ para(X260,X261,X262,X263)
| eqangle(X260,X261,X264,X265,X262,X263,X264,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_26,plain,
! [X122,X123,X124,X125,X126,X127,X128,X129] :
( ~ eqangle(X122,X123,X124,X125,X126,X127,X128,X129)
| eqangle(X122,X123,X126,X127,X124,X125,X128,X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
fof(c_0_27,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ eqangle(X254,X255,X258,X259,X256,X257,X258,X259)
| para(X254,X255,X256,X257) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_28,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_23]) ).
cnf(c_0_29,negated_conjecture,
eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X415,X416,X417,X418,X419,X420,X421,X422] :
( ~ eqangle(X415,X416,X417,X418,X419,X420,X421,X422)
| ~ para(X419,X420,X421,X422)
| para(X415,X416,X417,X418) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_32,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
eqangle(esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_28,c_0_30]) ).
cnf(c_0_36,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_31]) ).
cnf(c_0_37,negated_conjecture,
eqangle(esk24_0,esk23_0,esk24_0,esk23_0,esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_38,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_39,plain,
! [X389,X390,X391] :
( ~ para(X389,X390,X389,X391)
| coll(X389,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_33,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
fof(c_0_42,plain,
! [X28,X29,X30] :
( ~ coll(X28,X29,X30)
| coll(X29,X28,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_43,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_45,plain,
! [X25,X26,X27] :
( ~ coll(X25,X26,X27)
| coll(X25,X27,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_46,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_49,plain,
! [X31,X32,X33,X34] :
( ~ coll(X31,X32,X33)
| ~ coll(X31,X32,X34)
| coll(X33,X34,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_50,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_52,plain,
! [X39,X40,X41,X42] :
( ~ para(X39,X40,X41,X42)
| para(X41,X42,X39,X40) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_53,negated_conjecture,
eqangle(esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_28,c_0_48]) ).
fof(c_0_54,plain,
! [X289,X290,X291,X292,X293] :
( ~ midp(X292,X289,X290)
| ~ para(X292,X293,X290,X291)
| ~ coll(X293,X289,X291)
| midp(X293,X289,X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_55,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_57,plain,
! [X35,X36,X37,X38] :
( ~ para(X35,X36,X37,X38)
| para(X35,X36,X38,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_58,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_59,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_60,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_54]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_56])]) ).
cnf(c_0_62,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
para(esk22_0,esk21_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_64,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_61])]) ).
cnf(c_0_65,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_44]) ).
cnf(c_0_66,negated_conjecture,
para(esk22_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X69,X70,X71] :
( ~ midp(X71,X70,X69)
| midp(X71,X69,X70) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_68,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
midp(esk30_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_70,negated_conjecture,
para(esk23_0,esk21_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_62,c_0_38]) ).
cnf(c_0_71,negated_conjecture,
para(esk23_0,esk22_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_66]) ).
cnf(c_0_72,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,negated_conjecture,
midp(esk23_0,esk22_0,esk30_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
para(esk22_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
( midp(esk22_0,X1,esk21_0)
| ~ midp(esk23_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
midp(esk23_0,esk30_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_77,plain,
! [X379,X380,X381,X382,X383] :
( ~ midp(X383,X379,X380)
| ~ para(X379,X381,X380,X382)
| ~ para(X379,X382,X380,X381)
| midp(X383,X381,X382) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_78,negated_conjecture,
para(esk22_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_62,c_0_74]) ).
cnf(c_0_79,negated_conjecture,
midp(esk22_0,esk30_0,esk21_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_80,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_77]) ).
cnf(c_0_81,negated_conjecture,
para(esk21_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_58,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
midp(esk22_0,esk21_0,esk30_0),
inference(spm,[status(thm)],[c_0_72,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk21_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_84,negated_conjecture,
midp(esk30_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_68,c_0_82]) ).
cnf(c_0_85,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_44]),c_0_44])]) ).
cnf(c_0_86,negated_conjecture,
midp(esk30_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
fof(c_0_87,plain,
! [X294,X295,X296] :
( ~ cong(X296,X294,X296,X295)
| eqangle(X296,X294,X294,X295,X294,X295,X296,X295) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_88,plain,
! [X395,X396,X397] :
( ~ midp(X395,X396,X397)
| cong(X395,X396,X395,X397) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_89,negated_conjecture,
midp(esk30_0,X1,X1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_90,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_91,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_92,negated_conjecture,
midp(X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_68,c_0_89]) ).
cnf(c_0_93,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_90]) ).
cnf(c_0_94,negated_conjecture,
cong(X1,X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
para(X1,X1,X1,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_44])]) ).
cnf(c_0_96,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_64,c_0_44]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,esk30_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_95]) ).
cnf(c_0_98,negated_conjecture,
midp(X1,esk30_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_89]) ).
fof(c_0_99,plain,
! [X465,X466,X467,X468,X469,X470] :
( ( midp(esk6_6(X465,X466,X467,X468,X469,X470),X465,X468)
| ~ midp(X469,X465,X466)
| ~ midp(X470,X467,X468) )
& ( para(esk6_6(X465,X466,X467,X468,X469,X470),X469,X466,X468)
| ~ midp(X469,X465,X466)
| ~ midp(X470,X467,X468) )
& ( para(esk6_6(X465,X466,X467,X468,X469,X470),X470,X465,X467)
| ~ midp(X469,X465,X466)
| ~ midp(X470,X467,X468) ) ),
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_100,negated_conjecture,
midp(X1,esk30_0,esk30_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,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_99]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_85,c_0_100]) ).
fof(c_0_103,plain,
! [X431,X432,X433,X434,X435,X436,X437,X438] :
( ~ eqratio(X431,X432,X433,X434,X435,X436,X437,X438)
| ~ cong(X435,X436,X437,X438)
| cong(X431,X432,X433,X434) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_104,plain,
! [X401,X402,X403,X404,X405,X406] :
( ~ midp(X405,X401,X402)
| ~ midp(X406,X403,X404)
| eqratio(X405,X401,X401,X402,X406,X403,X403,X404) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_105,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_60,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_96,c_0_102]) ).
cnf(c_0_107,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_103]) ).
cnf(c_0_108,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_104]) ).
cnf(c_0_109,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_105,c_0_61])]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_106])]) ).
cnf(c_0_111,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_107,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
cong(X1,esk30_0,X1,X1),
inference(spm,[status(thm)],[c_0_91,c_0_98]) ).
cnf(c_0_113,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_110])]) ).
cnf(c_0_114,negated_conjecture,
midp(esk30_0,X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_110]) ).
fof(c_0_115,plain,
! [X142,X143,X144,X145] :
( ~ cong(X142,X143,X144,X145)
| cong(X142,X143,X145,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_116,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_111,c_0_112]),c_0_92])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
fof(c_0_118,plain,
! [X336,X337,X338,X339] :
( ~ cong(X336,X338,X337,X338)
| ~ cong(X336,X339,X337,X339)
| perp(X336,X337,X338,X339) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_119,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]) ).
cnf(c_0_121,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ perp(esk27_0,esk22_0,esk22_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_124,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO605+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:21:07 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.92/0.99 % Version : CSE_E---1.5
% 0.92/0.99 % Problem : theBenchmark.p
% 0.92/0.99 % Proof found
% 0.92/0.99 % SZS status Theorem for theBenchmark.p
% 0.92/0.99 % SZS output start Proof
% See solution above
% 0.92/1.00 % Total time : 0.419000 s
% 0.92/1.00 % SZS output end Proof
% 0.92/1.00 % Total time : 0.423000 s
%------------------------------------------------------------------------------