TSTP Solution File: GEO582+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO582+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 : n012.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 22:48:43 EDT 2023
% Result : Theorem 0.67s 0.76s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 71
% Syntax : Number of formulae : 210 ( 53 unt; 39 typ; 0 def)
% Number of atoms : 356 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 309 ( 124 ~; 121 |; 31 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 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 : 28 ( 28 usr; 8 con; 0-6 aty)
% Number of variables : 546 ( 29 sgn; 300 !; 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 ).
tff(decl_60,type,
esk28_0: $i ).
fof(exemplo6GDDFULL416044,conjecture,
! [X1,X2,X3,X8,X4,X19,X20,X21] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X1,X2,X1,X19)
& coll(X19,X3,X4)
& perp(X3,X4,X3,X20)
& coll(X20,X1,X2) )
=> para(X4,X2,X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416044) ).
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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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(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(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(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(c_0_32,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X19,X20,X21] :
( ( circle(X8,X1,X2,X3)
& circle(X8,X1,X4,X21)
& perp(X1,X2,X1,X19)
& coll(X19,X3,X4)
& perp(X3,X4,X3,X20)
& coll(X20,X1,X2) )
=> para(X4,X2,X19,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416044]) ).
fof(c_0_33,plain,
! [X50,X51,X52,X53] :
( ~ perp(X50,X51,X52,X53)
| perp(X52,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_34,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& circle(esk24_0,esk21_0,esk25_0,esk28_0)
& perp(esk21_0,esk22_0,esk21_0,esk26_0)
& coll(esk26_0,esk23_0,esk25_0)
& perp(esk23_0,esk25_0,esk23_0,esk27_0)
& coll(esk27_0,esk21_0,esk22_0)
& ~ para(esk25_0,esk22_0,esk26_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_35,plain,
! [X46,X47,X48,X49] :
( ~ perp(X46,X47,X48,X49)
| perp(X46,X47,X49,X48) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_36,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
perp(esk23_0,esk25_0,esk23_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
perp(esk23_0,esk27_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
perp(esk23_0,esk27_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_41,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
| eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_42,plain,
! [X257,X258,X259,X260,X261,X262] :
( ~ para(X257,X258,X259,X260)
| eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_43,plain,
! [X54,X55,X56,X57,X58,X59] :
( ~ perp(X54,X55,X56,X57)
| ~ perp(X56,X57,X58,X59)
| para(X54,X55,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_44,negated_conjecture,
perp(esk25_0,esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
fof(c_0_45,plain,
! [X25,X26,X27] :
( ~ coll(X25,X26,X27)
| coll(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_46,plain,
! [X251,X252,X253,X254,X255,X256] :
( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
| para(X251,X252,X253,X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_47,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_41]) ).
cnf(c_0_48,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_49,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X38,X39,X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_50,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
perp(esk25_0,esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
perp(esk23_0,esk25_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
fof(c_0_53,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X22,X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_54,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_55,negated_conjecture,
coll(esk27_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_56,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_58,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( para(X1,X2,esk27_0,esk23_0)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_60,negated_conjecture,
perp(esk27_0,esk23_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_52]) ).
cnf(c_0_61,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
coll(esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_63,plain,
! [X386,X387,X388] :
( ~ para(X386,X387,X386,X388)
| coll(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_64,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( para(esk27_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
perp(esk27_0,esk23_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_60]) ).
fof(c_0_67,plain,
! [X28,X29,X30,X31] :
( ~ coll(X28,X29,X30)
| ~ coll(X28,X29,X31)
| coll(X30,X31,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_68,negated_conjecture,
coll(esk21_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( para(X1,X2,esk23_0,esk27_0)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_44]) ).
cnf(c_0_71,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_72,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_73,negated_conjecture,
coll(esk22_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
( coll(esk23_0,X1,esk27_0)
| ~ perp(esk23_0,X1,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_75,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_69,c_0_71]) ).
cnf(c_0_76,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_77,negated_conjecture,
coll(esk23_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_74,c_0_40]) ).
fof(c_0_78,plain,
! [X271,X272,X273,X274] :
( ~ eqangle(X273,X271,X273,X272,X274,X271,X274,X272)
| ~ coll(X273,X274,X272)
| cyclic(X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_79,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_75]) ).
cnf(c_0_80,negated_conjecture,
coll(esk27_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
coll(esk27_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_77]) ).
cnf(c_0_82,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_78]) ).
cnf(c_0_83,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(esk27_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
coll(esk27_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_81]) ).
fof(c_0_86,plain,
! [X82,X83,X84,X85] :
( ~ cyclic(X82,X83,X84,X85)
| cyclic(X82,X84,X83,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_87,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_82,c_0_48]) ).
cnf(c_0_88,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_83]),c_0_83])]) ).
cnf(c_0_89,negated_conjecture,
coll(esk23_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,negated_conjecture,
( coll(X1,esk23_0,esk27_0)
| ~ coll(esk27_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_85]) ).
fof(c_0_91,plain,
! [X78,X79,X80,X81] :
( ~ cyclic(X78,X79,X80,X81)
| cyclic(X78,X79,X81,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_92,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_93,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_71])]),c_0_88])]) ).
fof(c_0_94,plain,
! [X312,X313,X314,X315,X316] :
( ~ circle(X315,X312,X313,X314)
| ~ coll(X316,X313,X314)
| ~ eqangle(X312,X313,X312,X314,X315,X313,X315,X316)
| midp(X316,X313,X314) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_95,plain,
! [X263,X264,X265,X266] :
( ~ cyclic(X263,X264,X265,X266)
| eqangle(X265,X263,X265,X264,X266,X263,X266,X264) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
cnf(c_0_96,negated_conjecture,
coll(esk23_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_89]) ).
cnf(c_0_97,negated_conjecture,
coll(esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_90,c_0_85]) ).
fof(c_0_98,plain,
! [X86,X87,X88,X89] :
( ~ cyclic(X86,X87,X88,X89)
| cyclic(X87,X86,X88,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_99,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_100,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_101,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_103,negated_conjecture,
( coll(X1,esk22_0,esk23_0)
| ~ coll(esk23_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
coll(esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_61,c_0_97]) ).
fof(c_0_105,plain,
! [X90,X91,X92,X93,X94] :
( ~ cyclic(X90,X91,X92,X93)
| ~ cyclic(X90,X91,X92,X94)
| cyclic(X91,X92,X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_106,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_109,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_110,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_112,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
fof(c_0_113,plain,
! [X66,X67,X68] :
( ~ midp(X68,X67,X66)
| midp(X68,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_114,negated_conjecture,
( midp(esk23_0,esk22_0,esk23_0)
| ~ cyclic(esk22_0,esk23_0,esk21_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_115,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_112])]) ).
fof(c_0_116,plain,
! [X412,X413,X414,X415,X416,X417,X418,X419] :
( ~ eqangle(X412,X413,X414,X415,X416,X417,X418,X419)
| ~ para(X416,X417,X418,X419)
| para(X412,X413,X414,X415) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_117,plain,
! [X291,X292,X293] :
( ~ cong(X293,X291,X293,X292)
| eqangle(X293,X291,X291,X292,X291,X292,X293,X292) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_118,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| cong(X392,X393,X392,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_119,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
midp(esk23_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_115])]) ).
cnf(c_0_121,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_116]) ).
cnf(c_0_122,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_123,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_124,negated_conjecture,
midp(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
fof(c_0_125,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X32,X33,X35,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_126,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_127,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
fof(c_0_128,plain,
! [X376,X377,X378,X379,X380] :
( ~ midp(X380,X376,X377)
| ~ para(X376,X378,X377,X379)
| ~ para(X376,X379,X377,X378)
| midp(X380,X378,X379) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_129,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_130,negated_conjecture,
para(esk23_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_71])]) ).
fof(c_0_131,plain,
! [X428,X429,X430,X431,X432,X433,X434,X435] :
( ~ eqratio(X428,X429,X430,X431,X432,X433,X434,X435)
| ~ cong(X432,X433,X434,X435)
| cong(X428,X429,X430,X431) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_132,plain,
! [X398,X399,X400,X401,X402,X403] :
( ~ midp(X402,X398,X399)
| ~ midp(X403,X400,X401)
| eqratio(X402,X398,X398,X399,X403,X400,X400,X401) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_133,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_128]) ).
cnf(c_0_134,negated_conjecture,
para(esk23_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_135,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_131]) ).
cnf(c_0_136,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_132]) ).
cnf(c_0_137,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk23_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_134])]) ).
cnf(c_0_138,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_135,c_0_136]) ).
cnf(c_0_139,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_71]),c_0_71])]) ).
cnf(c_0_140,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_137,c_0_124]) ).
fof(c_0_141,plain,
! [X143,X144,X145,X146] :
( ~ cong(X143,X144,X145,X146)
| cong(X145,X146,X143,X144) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_142,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_138,c_0_127]),c_0_124])]) ).
cnf(c_0_143,negated_conjecture,
midp(esk23_0,X1,X1),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
fof(c_0_144,plain,
! [X139,X140,X141,X142] :
( ~ cong(X139,X140,X141,X142)
| cong(X139,X140,X142,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_145,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_146,negated_conjecture,
cong(esk23_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
fof(c_0_147,plain,
! [X389,X390,X391] :
( ~ cong(X389,X390,X389,X391)
| ~ coll(X389,X390,X391)
| midp(X389,X390,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
fof(c_0_148,plain,
! [X286,X287,X288,X289,X290] :
( ~ midp(X289,X286,X287)
| ~ para(X289,X290,X287,X288)
| ~ coll(X290,X286,X288)
| midp(X290,X286,X288) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_149,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_150,negated_conjecture,
cong(X1,X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_151,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_152,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_148]) ).
cnf(c_0_153,negated_conjecture,
cong(X1,X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_154,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_88])]) ).
cnf(c_0_155,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_88])]) ).
cnf(c_0_156,negated_conjecture,
para(X1,X1,X1,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_153]),c_0_71])]) ).
cnf(c_0_157,negated_conjecture,
midp(X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_154,c_0_153]) ).
cnf(c_0_158,negated_conjecture,
( midp(X1,X2,esk23_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_159,negated_conjecture,
midp(X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_119,c_0_157]) ).
cnf(c_0_160,negated_conjecture,
midp(X1,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_161,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_155,c_0_71]) ).
cnf(c_0_162,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_139,c_0_160]) ).
cnf(c_0_163,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
fof(c_0_164,plain,
! [X281,X282,X283,X284,X285] :
( ~ midp(X284,X281,X282)
| ~ midp(X285,X281,X283)
| para(X284,X285,X282,X283) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_165,negated_conjecture,
midp(X1,X2,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_163])]) ).
cnf(c_0_166,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_167,negated_conjecture,
midp(X1,esk23_0,X2),
inference(spm,[status(thm)],[c_0_119,c_0_165]) ).
cnf(c_0_168,negated_conjecture,
~ para(esk25_0,esk22_0,esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_169,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_167])]) ).
cnf(c_0_170,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_169])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO582+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 21:03:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.67/0.76 % Version : CSE_E---1.5
% 0.67/0.76 % Problem : theBenchmark.p
% 0.67/0.76 % Proof found
% 0.67/0.76 % SZS status Theorem for theBenchmark.p
% 0.67/0.76 % SZS output start Proof
% See solution above
% 0.67/0.77 % Total time : 0.180000 s
% 0.67/0.77 % SZS output end Proof
% 0.67/0.77 % Total time : 0.183000 s
%------------------------------------------------------------------------------