TSTP Solution File: GEO648+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO648+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 : n010.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 22:49:01 EDT 2023
% Result : Theorem 0.70s 0.81s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 71
% Syntax : Number of formulae : 194 ( 37 unt; 40 typ; 0 def)
% Number of atoms : 341 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 315 ( 128 ~; 125 |; 30 &)
% ( 0 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 29 ( 29 usr; 9 con; 0-6 aty)
% Number of variables : 562 ( 33 sgn; 296 !; 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 ).
tff(decl_61,type,
esk29_0: $i ).
fof(exemplo6GDDFULLmoreE0213,conjecture,
! [X1,X2,X3,X4,X5,X19,X20,X21,X22] :
( ( circle(X1,X2,X19,X20)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& perp(X1,X2,X2,X4)
& coll(X3,X1,X5)
& circle(X1,X3,X5,X22) )
=> para(X1,X4,X2,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0213) ).
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(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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/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(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(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(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(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(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(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(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(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(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(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_31,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X19,X20,X21,X22] :
( ( circle(X1,X2,X19,X20)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& perp(X1,X2,X2,X4)
& coll(X3,X1,X5)
& circle(X1,X3,X5,X22) )
=> para(X1,X4,X2,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0213]) ).
fof(c_0_32,plain,
! [X51,X52,X53,X54] :
( ~ perp(X51,X52,X53,X54)
| perp(X53,X54,X51,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_33,negated_conjecture,
( circle(esk21_0,esk22_0,esk26_0,esk27_0)
& circle(esk21_0,esk22_0,esk23_0,esk28_0)
& perp(esk21_0,esk23_0,esk23_0,esk24_0)
& perp(esk21_0,esk22_0,esk22_0,esk24_0)
& coll(esk23_0,esk21_0,esk25_0)
& circle(esk21_0,esk23_0,esk25_0,esk29_0)
& ~ para(esk21_0,esk24_0,esk22_0,esk25_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_34,plain,
! [X47,X48,X49,X50] :
( ~ perp(X47,X48,X49,X50)
| perp(X47,X48,X50,X49) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_36,negated_conjecture,
perp(esk21_0,esk23_0,esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
perp(esk23_0,esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
perp(esk23_0,esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_40,plain,
! [X104,X105,X106,X107,X108,X109,X110,X111] :
( ~ eqangle(X104,X105,X106,X107,X108,X109,X110,X111)
| eqangle(X106,X107,X104,X105,X110,X111,X108,X109) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_41,plain,
! [X258,X259,X260,X261,X262,X263] :
( ~ para(X258,X259,X260,X261)
| eqangle(X258,X259,X262,X263,X260,X261,X262,X263) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_42,plain,
! [X55,X56,X57,X58,X59,X60] :
( ~ perp(X55,X56,X57,X58)
| ~ perp(X57,X58,X59,X60)
| para(X55,X56,X59,X60) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_43,negated_conjecture,
perp(esk23_0,esk21_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_35,c_0_39]) ).
fof(c_0_44,plain,
! [X252,X253,X254,X255,X256,X257] :
( ~ eqangle(X252,X253,X256,X257,X254,X255,X256,X257)
| para(X252,X253,X254,X255) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_45,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_40]) ).
cnf(c_0_46,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_47,plain,
! [X37,X38,X39,X40] :
( ~ para(X37,X38,X39,X40)
| para(X39,X40,X37,X38) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
perp(esk23_0,esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_43]) ).
cnf(c_0_50,negated_conjecture,
perp(esk21_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_51,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,negated_conjecture,
( para(X1,X2,esk24_0,esk23_0)
| ~ perp(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
perp(esk24_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_35,c_0_50]) ).
fof(c_0_56,plain,
! [X387,X388,X389] :
( ~ para(X387,X388,X387,X389)
| coll(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_57,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( para(esk24_0,esk23_0,X1,X2)
| ~ perp(X1,X2,esk23_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
perp(esk24_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_55]) ).
fof(c_0_60,plain,
! [X26,X27,X28] :
( ~ coll(X26,X27,X28)
| coll(X27,X26,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_61,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_62,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
fof(c_0_63,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X23,X25,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_64,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_66,plain,
! [X272,X273,X274,X275] :
( ~ eqangle(X274,X272,X274,X273,X275,X272,X275,X273)
| ~ coll(X274,X275,X273)
| cyclic(X272,X273,X274,X275) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_67,plain,
! [X29,X30,X31,X32] :
( ~ coll(X29,X30,X31)
| ~ coll(X29,X30,X32)
| coll(X31,X32,X29) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_68,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_70,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_66]) ).
cnf(c_0_71,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_72,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
fof(c_0_73,plain,
! [X83,X84,X85,X86] :
( ~ cyclic(X83,X84,X85,X86)
| cyclic(X83,X85,X84,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_74,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_70,c_0_46]) ).
cnf(c_0_75,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_72])]) ).
fof(c_0_76,plain,
! [X79,X80,X81,X82] :
( ~ cyclic(X79,X80,X81,X82)
| cyclic(X79,X80,X82,X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_77,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_62])]),c_0_75])]) ).
fof(c_0_79,plain,
! [X87,X88,X89,X90] :
( ~ cyclic(X87,X88,X89,X90)
| cyclic(X88,X87,X89,X90) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_80,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_82,plain,
! [X313,X314,X315,X316,X317] :
( ~ circle(X316,X313,X314,X315)
| ~ coll(X317,X314,X315)
| ~ eqangle(X313,X314,X313,X315,X316,X314,X316,X317)
| midp(X317,X314,X315) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_83,plain,
! [X264,X265,X266,X267] :
( ~ cyclic(X264,X265,X266,X267)
| eqangle(X266,X264,X266,X265,X267,X264,X267,X265) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_84,plain,
! [X91,X92,X93,X94,X95] :
( ~ cyclic(X91,X92,X93,X94)
| ~ cyclic(X91,X92,X93,X95)
| cyclic(X92,X93,X94,X95) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_85,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,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_82]) ).
cnf(c_0_88,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_91,plain,
! [X292,X293,X294] :
( ~ cong(X294,X292,X294,X293)
| eqangle(X294,X292,X292,X293,X292,X293,X294,X293) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_92,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_87,c_0_88]) ).
cnf(c_0_93,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_90])]) ).
fof(c_0_94,plain,
! [X287,X288,X289,X290,X291] :
( ~ midp(X290,X287,X288)
| ~ para(X290,X291,X288,X289)
| ~ coll(X291,X287,X289)
| midp(X291,X287,X289) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_95,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
fof(c_0_96,plain,
! [X67,X68,X69] :
( ~ midp(X69,X68,X67)
| midp(X69,X67,X68) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_97,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_69])]),c_0_93])]) ).
cnf(c_0_98,negated_conjecture,
circle(esk21_0,esk23_0,esk25_0,esk29_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_99,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_94]) ).
cnf(c_0_100,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_95]) ).
fof(c_0_101,plain,
! [X393,X394,X395] :
( ~ midp(X393,X394,X395)
| cong(X393,X394,X393,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_102,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_103,negated_conjecture,
midp(esk29_0,esk25_0,esk29_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_104,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_105,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_106,negated_conjecture,
midp(esk29_0,esk29_0,esk25_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
fof(c_0_107,plain,
! [X429,X430,X431,X432,X433,X434,X435,X436] :
( ~ eqratio(X429,X430,X431,X432,X433,X434,X435,X436)
| ~ cong(X433,X434,X435,X436)
| cong(X429,X430,X431,X432) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_108,plain,
! [X399,X400,X401,X402,X403,X404] :
( ~ midp(X403,X399,X400)
| ~ midp(X404,X401,X402)
| eqratio(X403,X399,X399,X400,X404,X401,X401,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
fof(c_0_109,plain,
! [X377,X378,X379,X380,X381] :
( ~ midp(X381,X377,X378)
| ~ para(X377,X379,X378,X380)
| ~ para(X377,X380,X378,X379)
| midp(X381,X379,X380) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_110,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_75])]) ).
cnf(c_0_111,negated_conjecture,
cong(esk29_0,esk29_0,esk29_0,esk25_0),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
fof(c_0_112,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X33,X34,X36,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_113,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_107]) ).
cnf(c_0_114,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_108]) ).
cnf(c_0_115,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_109]) ).
cnf(c_0_116,negated_conjecture,
( midp(esk29_0,X1,esk25_0)
| ~ midp(esk29_0,X1,esk29_0) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_112]) ).
cnf(c_0_118,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_113,c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_62]),c_0_62])]) ).
cnf(c_0_120,negated_conjecture,
midp(esk29_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_116,c_0_103]) ).
cnf(c_0_121,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_117,c_0_100]) ).
fof(c_0_122,plain,
! [X144,X145,X146,X147] :
( ~ cong(X144,X145,X146,X147)
| cong(X146,X147,X144,X145) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_123,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_118,c_0_111]),c_0_106])]) ).
cnf(c_0_124,negated_conjecture,
midp(esk29_0,X1,X1),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_125,plain,
( para(X1,X2,X2,X2)
| ~ cong(X2,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_121]) ).
fof(c_0_126,plain,
! [X140,X141,X142,X143] :
( ~ cong(X140,X141,X142,X143)
| cong(X140,X141,X143,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_127,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_128,negated_conjecture,
cong(esk29_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_125]) ).
cnf(c_0_130,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_131,negated_conjecture,
cong(X1,X1,esk29_0,X1),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_132,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_69])]) ).
cnf(c_0_133,negated_conjecture,
cong(X1,X1,X1,esk29_0),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_134,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(esk29_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
fof(c_0_135,plain,
! [X413,X414,X415,X416,X417,X418,X419,X420] :
( ~ eqangle(X413,X414,X415,X416,X417,X418,X419,X420)
| ~ para(X417,X418,X419,X420)
| para(X413,X414,X415,X416) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_136,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_75])]) ).
cnf(c_0_137,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_134,c_0_124]) ).
cnf(c_0_138,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_135]) ).
cnf(c_0_139,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_62]) ).
cnf(c_0_140,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_119,c_0_137]) ).
cnf(c_0_141,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_138,c_0_88]) ).
cnf(c_0_142,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_93])]) ).
cnf(c_0_144,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_102,c_0_142]) ).
cnf(c_0_145,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_143,c_0_100]) ).
cnf(c_0_146,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_105,c_0_144]) ).
fof(c_0_147,plain,
! [X282,X283,X284,X285,X286] :
( ~ midp(X285,X282,X283)
| ~ midp(X286,X282,X284)
| para(X285,X286,X283,X284) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_148,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_146])]) ).
cnf(c_0_149,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_150,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_148]),c_0_142])]) ).
cnf(c_0_151,negated_conjecture,
~ para(esk21_0,esk24_0,esk22_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_152,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150]),c_0_150])]) ).
cnf(c_0_153,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n010.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 19:14:48 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.70/0.81 % Version : CSE_E---1.5
% 0.70/0.81 % Problem : theBenchmark.p
% 0.70/0.81 % Proof found
% 0.70/0.81 % SZS status Theorem for theBenchmark.p
% 0.70/0.81 % SZS output start Proof
% See solution above
% 0.70/0.82 % Total time : 0.251000 s
% 0.70/0.82 % SZS output end Proof
% 0.70/0.82 % Total time : 0.257000 s
%------------------------------------------------------------------------------