TSTP Solution File: GEO615+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO615+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 22:48:52 EDT 2023
% Result : Theorem 0.55s 0.89s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 69
% Syntax : Number of formulae : 159 ( 26 unt; 44 typ; 0 def)
% Number of atoms : 279 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 261 ( 97 ~; 94 |; 44 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 141 ( 32 >; 109 *; 0 +; 0 <<)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-8 aty)
% Number of functors : 32 ( 32 usr; 12 con; 0-6 aty)
% Number of variables : 535 ( 60 sgn; 272 !; 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,
midpoint: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_41,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_54,type,
esk21_0: $i ).
tff(decl_55,type,
esk22_0: $i ).
tff(decl_56,type,
esk23_0: $i ).
tff(decl_57,type,
esk24_0: $i ).
tff(decl_58,type,
esk25_0: $i ).
tff(decl_59,type,
esk26_0: $i ).
tff(decl_60,type,
esk27_0: $i ).
tff(decl_61,type,
esk28_0: $i ).
tff(decl_62,type,
esk29_0: $i ).
tff(decl_63,type,
esk30_0: $i ).
tff(decl_64,type,
esk31_0: $i ).
tff(decl_65,type,
esk32_0: $i ).
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(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(exemplo6GDDFULL618077,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& midpoint(X19,X2,X4)
& perp(X2,X4,X19,X5)
& perp(X1,X2,X2,X5)
& circle(X5,X2,X20,X21)
& coll(X6,X1,X3)
& circle(X5,X2,X6,X22)
& circle(X5,X6,X13,X23)
& coll(X13,X6,X1) )
=> eqangle(X6,X4,X4,X3,X3,X4,X4,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618077) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
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(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(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(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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
fof(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_25,plain,
! [X56,X57,X58,X59,X60,X61] :
( ~ perp(X56,X57,X58,X59)
| ~ perp(X58,X59,X60,X61)
| para(X56,X57,X60,X61) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_26,plain,
! [X498,X499,X500,X501] :
( ~ circle(X501,X498,X499,X500)
| perp(esk12_4(X498,X499,X500,X501),X498,X498,X501) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_27,plain,
! [X52,X53,X54,X55] :
( ~ perp(X52,X53,X54,X55)
| perp(X54,X55,X52,X53) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_28,plain,
! [X105,X106,X107,X108,X109,X110,X111,X112] :
( ~ eqangle(X105,X106,X107,X108,X109,X110,X111,X112)
| eqangle(X107,X108,X105,X106,X111,X112,X109,X110) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_29,plain,
! [X259,X260,X261,X262,X263,X264] :
( ~ para(X259,X260,X261,X262)
| eqangle(X259,X260,X263,X264,X261,X262,X263,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_30,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X19,X20,X21,X22,X23] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& midpoint(X19,X2,X4)
& perp(X2,X4,X19,X5)
& perp(X1,X2,X2,X5)
& circle(X5,X2,X20,X21)
& coll(X6,X1,X3)
& circle(X5,X2,X6,X22)
& circle(X5,X6,X13,X23)
& coll(X13,X6,X1) )
=> eqangle(X6,X4,X4,X3,X3,X4,X4,X13) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618077]) ).
fof(c_0_34,plain,
! [X253,X254,X255,X256,X257,X258] :
( ~ eqangle(X253,X254,X257,X258,X255,X256,X257,X258)
| para(X253,X254,X255,X256) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_35,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_28]) ).
cnf(c_0_36,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,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_30,c_0_31]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
fof(c_0_39,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)
& midpoint(esk28_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk28_0,esk25_0)
& perp(esk21_0,esk22_0,esk22_0,esk25_0)
& circle(esk25_0,esk22_0,esk29_0,esk30_0)
& coll(esk26_0,esk21_0,esk23_0)
& circle(esk25_0,esk22_0,esk26_0,esk31_0)
& circle(esk25_0,esk26_0,esk27_0,esk32_0)
& coll(esk27_0,esk26_0,esk21_0)
& ~ eqangle(esk26_0,esk24_0,esk24_0,esk23_0,esk23_0,esk24_0,esk24_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
circle(esk25_0,esk26_0,esk27_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_44,plain,
! [X388,X389,X390] :
( ~ para(X388,X389,X388,X390)
| coll(X388,X389,X390) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
para(esk26_0,esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_47,plain,
! [X27,X28,X29] :
( ~ coll(X27,X28,X29)
| coll(X28,X27,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X273,X274,X275,X276] :
( ~ eqangle(X275,X273,X275,X274,X276,X273,X276,X274)
| ~ coll(X275,X276,X274)
| cyclic(X273,X274,X275,X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_51,plain,
! [X24,X25,X26] :
( ~ coll(X24,X25,X26)
| coll(X24,X26,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_52,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_55,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_57,plain,
! [X84,X85,X86,X87] :
( ~ cyclic(X84,X85,X86,X87)
| cyclic(X84,X86,X85,X87) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_58,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_36]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X80,X81,X82,X83] :
( ~ cyclic(X80,X81,X82,X83)
| cyclic(X80,X81,X83,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_49])]),c_0_59])]) ).
fof(c_0_63,plain,
! [X88,X89,X90,X91] :
( ~ cyclic(X88,X89,X90,X91)
| cyclic(X89,X88,X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,plain,
! [X277,X278,X279,X280,X281,X282] :
( ~ cyclic(X277,X278,X279,X280)
| ~ cyclic(X277,X278,X279,X281)
| ~ cyclic(X277,X278,X279,X282)
| ~ eqangle(X279,X277,X279,X278,X282,X280,X282,X281)
| cong(X277,X278,X280,X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_67,plain,
! [X92,X93,X94,X95,X96] :
( ~ cyclic(X92,X93,X94,X95)
| ~ cyclic(X92,X93,X94,X96)
| cyclic(X93,X94,X95,X96) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_68,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_70,plain,
! [X30,X31,X32,X33] :
( ~ coll(X30,X31,X32)
| ~ coll(X30,X31,X33)
| coll(X32,X33,X30) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_71,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_72,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_74,plain,
! [X391,X392,X393] :
( ~ cong(X391,X392,X391,X393)
| ~ coll(X391,X392,X393)
| midp(X391,X392,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_75,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_76,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_36]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
fof(c_0_78,plain,
! [X288,X289,X290,X291,X292] :
( ~ midp(X291,X288,X289)
| ~ para(X291,X292,X289,X290)
| ~ coll(X292,X288,X290)
| midp(X292,X288,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_79,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_80,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_59]),c_0_59])]) ).
cnf(c_0_81,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_62])]),c_0_77]),c_0_77])]) ).
cnf(c_0_82,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_78]) ).
fof(c_0_83,plain,
! [X373,X374,X375,X376,X377] :
( ~ midp(X377,X373,X374)
| ~ midp(X377,X375,X376)
| para(X373,X375,X374,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_84,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]) ).
cnf(c_0_85,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_81,c_0_49]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_80])]) ).
cnf(c_0_87,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_88,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_89,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_86,c_0_49]) ).
fof(c_0_90,plain,
! [X34,X35,X36,X37] :
( ~ para(X34,X35,X36,X37)
| para(X34,X35,X37,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_91,negated_conjecture,
( para(X1,X2,X3,X2)
| ~ midp(X4,X1,X3) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_88]) ).
cnf(c_0_93,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_94,negated_conjecture,
para(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
para(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
fof(c_0_96,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ midp(X287,X283,X285)
| para(X286,X287,X284,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_97,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_95]) ).
fof(c_0_98,plain,
! [X113,X114,X115,X116,X117,X118,X119,X120] :
( ~ eqangle(X113,X114,X115,X116,X117,X118,X119,X120)
| eqangle(X117,X118,X119,X120,X113,X114,X115,X116) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_99,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_101,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
fof(c_0_102,plain,
! [X121,X122,X123,X124,X125,X126,X127,X128] :
( ~ eqangle(X121,X122,X123,X124,X125,X126,X127,X128)
| eqangle(X121,X122,X125,X126,X123,X124,X127,X128) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_103,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100]),c_0_100])]) ).
cnf(c_0_104,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_36]) ).
fof(c_0_105,plain,
! [X129,X130,X131,X132,X133,X134,X135,X136,X137,X138,X139,X140] :
( ~ eqangle(X129,X130,X131,X132,X133,X134,X135,X136)
| ~ eqangle(X133,X134,X135,X136,X137,X138,X139,X140)
| eqangle(X129,X130,X131,X132,X137,X138,X139,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_106,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_102]) ).
cnf(c_0_107,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_103])]) ).
cnf(c_0_108,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).
cnf(c_0_109,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_110,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_106,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
~ eqangle(esk26_0,esk24_0,esk24_0,esk23_0,esk23_0,esk24_0,esk24_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_113,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO615+1 : TPTP v8.1.2. Released v7.5.0.
% 0.04/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 19:38:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.53/0.59 start to proof: theBenchmark
% 0.55/0.89 % Version : CSE_E---1.5
% 0.55/0.89 % Problem : theBenchmark.p
% 0.55/0.89 % Proof found
% 0.55/0.89 % SZS status Theorem for theBenchmark.p
% 0.55/0.89 % SZS output start Proof
% See solution above
% 0.55/0.90 % Total time : 0.292000 s
% 0.55/0.90 % SZS output end Proof
% 0.55/0.90 % Total time : 0.297000 s
%------------------------------------------------------------------------------