TSTP Solution File: GEO660+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO660+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 : n021.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 22:49:04 EDT 2023
% Result : Theorem 0.76s 0.91s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 65
% Syntax : Number of formulae : 157 ( 23 unt; 38 typ; 0 def)
% Number of atoms : 291 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 279 ( 107 ~; 104 |; 40 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 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 : 27 ( 27 usr; 7 con; 0-6 aty)
% Number of variables : 465 ( 30 sgn; 250 !; 0 ?; 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 ).
fof(exemplo7Book00EE02E02319,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( perp(X3,X1,X3,X2)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& eqangle(X2,X1,X1,X5,X5,X1,X1,X3)
& eqangle(X4,X3,X3,X6,X6,X3,X3,X2)
& coll(X13,X2,X3)
& coll(X13,X1,X5) )
=> para(X5,X6,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo7Book00EE02E02319) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
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(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/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/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(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(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(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( perp(X3,X1,X3,X2)
& perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& coll(X5,X3,X4)
& coll(X6,X1,X2)
& eqangle(X2,X1,X1,X5,X5,X1,X1,X3)
& eqangle(X4,X3,X3,X6,X6,X3,X3,X2)
& coll(X13,X2,X3)
& coll(X13,X1,X5) )
=> para(X5,X6,X3,X2) ),
inference(assume_negation,[status(cth)],[exemplo7Book00EE02E02319]) ).
fof(c_0_28,plain,
! [X47,X48,X49,X50] :
( ~ perp(X47,X48,X49,X50)
| perp(X49,X50,X47,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_29,negated_conjecture,
( perp(esk23_0,esk21_0,esk23_0,esk22_0)
& perp(esk24_0,esk23_0,esk21_0,esk22_0)
& coll(esk24_0,esk21_0,esk22_0)
& coll(esk25_0,esk23_0,esk24_0)
& coll(esk26_0,esk21_0,esk22_0)
& eqangle(esk22_0,esk21_0,esk21_0,esk25_0,esk25_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0)
& coll(esk27_0,esk22_0,esk23_0)
& coll(esk27_0,esk21_0,esk25_0)
& ~ para(esk25_0,esk26_0,esk23_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_31,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ para(X254,X255,X256,X257)
| eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_32,plain,
! [X51,X52,X53,X54,X55,X56] :
( ~ perp(X51,X52,X53,X54)
| ~ perp(X53,X54,X55,X56)
| para(X51,X52,X55,X56) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_33,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
perp(esk24_0,esk23_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,plain,
! [X248,X249,X250,X251,X252,X253] :
( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
| para(X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_36,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_30]) ).
cnf(c_0_37,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_38,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X35,X36,X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_39,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
perp(esk21_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_41,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_42,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
( para(X1,X2,esk24_0,esk23_0)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_45,plain,
! [X383,X384,X385] :
( ~ para(X383,X384,X383,X385)
| coll(X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_46,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( para(esk24_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_48,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_49,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_34])]) ).
fof(c_0_51,plain,
! [X19,X20,X21] :
( ~ coll(X19,X20,X21)
| coll(X19,X21,X20) ),
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_48]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X268,X269,X270,X271] :
( ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
| ~ coll(X270,X271,X269)
| cyclic(X268,X269,X270,X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_55,plain,
! [X25,X26,X27,X28] :
( ~ coll(X25,X26,X27)
| ~ coll(X25,X26,X28)
| coll(X27,X28,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_56,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_58,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_54]) ).
cnf(c_0_59,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X79,X80,X81,X82] :
( ~ cyclic(X79,X80,X81,X82)
| cyclic(X79,X81,X80,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_62,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_37]) ).
cnf(c_0_63,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_60])]) ).
fof(c_0_64,plain,
! [X75,X76,X77,X78] :
( ~ cyclic(X75,X76,X77,X78)
| cyclic(X75,X76,X78,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_65,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_50])]),c_0_63])]) ).
fof(c_0_67,plain,
! [X83,X84,X85,X86] :
( ~ cyclic(X83,X84,X85,X86)
| cyclic(X84,X83,X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_68,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_69,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
fof(c_0_70,plain,
! [X272,X273,X274,X275,X276,X277] :
( ~ cyclic(X272,X273,X274,X275)
| ~ cyclic(X272,X273,X274,X276)
| ~ cyclic(X272,X273,X274,X277)
| ~ eqangle(X274,X272,X274,X273,X277,X275,X277,X276)
| cong(X272,X273,X275,X276) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_71,plain,
! [X322,X323,X324,X325] :
( ~ cyclic(X322,X323,X324,X325)
| ~ para(X322,X323,X324,X325)
| eqangle(X322,X325,X324,X325,X324,X325,X324,X323) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_72,plain,
! [X87,X88,X89,X90,X91] :
( ~ cyclic(X87,X88,X89,X90)
| ~ cyclic(X87,X88,X89,X91)
| cyclic(X88,X89,X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_73,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,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_70]) ).
cnf(c_0_76,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
fof(c_0_79,plain,
! [X386,X387,X388] :
( ~ cong(X386,X387,X386,X388)
| ~ coll(X386,X387,X388)
| midp(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_80,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_78])]) ).
fof(c_0_82,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ para(X286,X287,X284,X285)
| ~ coll(X287,X283,X285)
| midp(X287,X283,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_83,plain,
! [X29,X30,X31,X32] :
( ~ para(X29,X30,X31,X32)
| para(X29,X30,X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_84,plain,
! [X373,X374,X375,X376,X377] :
( ~ midp(X377,X373,X374)
| ~ para(X373,X375,X374,X376)
| ~ para(X373,X376,X374,X375)
| midp(X377,X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_66])]),c_0_81]),c_0_81]),c_0_81])]) ).
fof(c_0_87,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
| ~ para(X413,X414,X415,X416)
| para(X409,X410,X411,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_88,plain,
! [X260,X261,X262,X263] :
( ~ cyclic(X260,X261,X262,X263)
| eqangle(X262,X260,X262,X261,X263,X260,X263,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_89,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_82]) ).
cnf(c_0_90,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,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_84]) ).
cnf(c_0_92,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_63])]) ).
cnf(c_0_93,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_86,c_0_50]) ).
cnf(c_0_94,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_87]) ).
cnf(c_0_95,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
fof(c_0_96,plain,
! [X288,X289,X290] :
( ~ cong(X290,X288,X290,X289)
| eqangle(X290,X288,X288,X289,X288,X289,X290,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_97,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_63])]) ).
cnf(c_0_98,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_90,c_0_50]) ).
cnf(c_0_99,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_50]),c_0_50])]) ).
cnf(c_0_100,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_102,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_103,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_81])]) ).
cnf(c_0_107,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_41,c_0_102]) ).
cnf(c_0_108,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
fof(c_0_112,plain,
! [X278,X279,X280,X281,X282] :
( ~ midp(X281,X278,X279)
| ~ midp(X282,X278,X280)
| para(X281,X282,X279,X280) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_113,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111])]) ).
cnf(c_0_114,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_115,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_113]),c_0_105]),c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
~ para(esk25_0,esk26_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_117,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115]),c_0_115])]) ).
cnf(c_0_118,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_116,c_0_117])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO660+1 : TPTP v8.1.2. Released v7.5.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 20:30:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.58 start to proof: theBenchmark
% 0.76/0.91 % Version : CSE_E---1.5
% 0.76/0.91 % Problem : theBenchmark.p
% 0.76/0.91 % Proof found
% 0.76/0.91 % SZS status Theorem for theBenchmark.p
% 0.76/0.91 % SZS output start Proof
% See solution above
% 0.76/0.92 % Total time : 0.319000 s
% 0.76/0.92 % SZS output end Proof
% 0.76/0.92 % Total time : 0.324000 s
%------------------------------------------------------------------------------