TSTP Solution File: GEO588+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO588+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 : n029.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 22:48:45 EDT 2023
% Result : Theorem 0.49s 0.98s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 68
% Syntax : Number of formulae : 177 ( 40 unt; 41 typ; 0 def)
% Number of atoms : 297 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 260 ( 99 ~; 96 |; 37 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 138 ( 31 >; 107 *; 0 +; 0 <<)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-8 aty)
% Number of functors : 30 ( 30 usr; 10 con; 0-6 aty)
% Number of variables : 479 ( 22 sgn; 262 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
coll: ( $i * $i * $i ) > $o ).
tff(decl_23,type,
para: ( $i * $i * $i * $i ) > $o ).
tff(decl_24,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_25,type,
midp: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
cong: ( $i * $i * $i * $i ) > $o ).
tff(decl_27,type,
circle: ( $i * $i * $i * $i ) > $o ).
tff(decl_28,type,
cyclic: ( $i * $i * $i * $i ) > $o ).
tff(decl_29,type,
eqangle: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_30,type,
eqratio: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
simtri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_32,type,
contri: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
esk1_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk5_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_40,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk9_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
esk13_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
esk14_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
esk17_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk20_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_53,type,
esk21_0: $i ).
tff(decl_54,type,
esk22_0: $i ).
tff(decl_55,type,
esk23_0: $i ).
tff(decl_56,type,
esk24_0: $i ).
tff(decl_57,type,
esk25_0: $i ).
tff(decl_58,type,
esk26_0: $i ).
tff(decl_59,type,
esk27_0: $i ).
tff(decl_60,type,
esk28_0: $i ).
tff(decl_61,type,
esk29_0: $i ).
tff(decl_62,type,
esk30_0: $i ).
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(exemplo6GDDFULL416050,conjecture,
! [X1,X3,X7,X2,X8,X4,X9,X15,X19,X20] :
( ( coll(X7,X1,X3)
& perp(X1,X3,X7,X2)
& circle(X8,X1,X3,X2)
& circle(X8,X2,X4,X20)
& coll(X4,X2,X7)
& midp(X9,X2,X1)
& midp(X15,X4,X3)
& coll(X19,X7,X8)
& coll(X19,X9,X15) )
=> para(X9,X8,X7,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416050) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(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(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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(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(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(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(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_27,plain,
! [X53,X54,X55,X56,X57,X58] :
( ~ perp(X53,X54,X55,X56)
| ~ perp(X55,X56,X57,X58)
| para(X53,X54,X57,X58) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_28,plain,
! [X495,X496,X497,X498] :
( ~ circle(X498,X495,X496,X497)
| perp(esk12_4(X495,X496,X497,X498),X495,X495,X498) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_29,plain,
! [X49,X50,X51,X52] :
( ~ perp(X49,X50,X51,X52)
| perp(X51,X52,X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
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_27]) ).
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_28]) ).
cnf(c_0_32,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,negated_conjecture,
~ ! [X1,X3,X7,X2,X8,X4,X9,X15,X19,X20] :
( ( coll(X7,X1,X3)
& perp(X1,X3,X7,X2)
& circle(X8,X1,X3,X2)
& circle(X8,X2,X4,X20)
& coll(X4,X2,X7)
& midp(X9,X2,X1)
& midp(X15,X4,X3)
& coll(X19,X7,X8)
& coll(X19,X9,X15) )
=> para(X9,X8,X7,X15) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416050]) ).
cnf(c_0_34,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_35,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_36,negated_conjecture,
( coll(esk23_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk23_0,esk24_0)
& circle(esk25_0,esk21_0,esk22_0,esk24_0)
& circle(esk25_0,esk24_0,esk26_0,esk30_0)
& coll(esk26_0,esk24_0,esk23_0)
& midp(esk27_0,esk24_0,esk21_0)
& midp(esk28_0,esk26_0,esk22_0)
& coll(esk29_0,esk23_0,esk25_0)
& coll(esk29_0,esk27_0,esk28_0)
& ~ para(esk27_0,esk25_0,esk23_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,plain,
! [X394,X395,X396] :
( ~ midp(X394,X395,X396)
| coll(X394,X395,X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_38,plain,
! [X31,X32,X33,X34] :
( ~ para(X31,X32,X33,X34)
| para(X31,X32,X34,X33) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_39,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
circle(esk25_0,esk24_0,esk26_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_41,plain,
! [X27,X28,X29,X30] :
( ~ coll(X27,X28,X29)
| ~ coll(X27,X28,X30)
| coll(X29,X30,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_42,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_43,negated_conjecture,
midp(esk28_0,esk26_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_44,plain,
! [X102,X103,X104,X105,X106,X107,X108,X109] :
( ~ eqangle(X102,X103,X104,X105,X106,X107,X108,X109)
| eqangle(X104,X105,X102,X103,X108,X109,X106,X107) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_45,plain,
! [X256,X257,X258,X259,X260,X261] :
( ~ para(X256,X257,X258,X259)
| eqangle(X256,X257,X260,X261,X258,X259,X260,X261) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_46,plain,
! [X35,X36,X37,X38] :
( ~ para(X35,X36,X37,X38)
| para(X37,X38,X35,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
para(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_49,plain,
! [X391,X392,X393] :
( ~ midp(X391,X392,X393)
| cong(X391,X392,X391,X393) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_50,plain,
! [X65,X66,X67] :
( ~ midp(X67,X66,X65)
| midp(X67,X65,X66) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_51,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,negated_conjecture,
coll(esk28_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_53,plain,
! [X250,X251,X252,X253,X254,X255] :
( ~ eqangle(X250,X251,X254,X255,X252,X253,X254,X255)
| para(X250,X251,X252,X253) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_54,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_44]) ).
cnf(c_0_55,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
para(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_58,plain,
! [X146,X147,X148,X149,X150,X151] :
( ~ cong(X146,X147,X148,X149)
| ~ cong(X148,X149,X150,X151)
| cong(X146,X147,X150,X151) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_59,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_61,plain,
! [X21,X22,X23] :
( ~ coll(X21,X22,X23)
| coll(X21,X23,X22) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_62,negated_conjecture,
( coll(X1,esk22_0,esk28_0)
| ~ coll(esk28_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_63,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_65,negated_conjecture,
para(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
cong(esk28_0,esk26_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_43]) ).
cnf(c_0_68,negated_conjecture,
midp(esk28_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_60,c_0_43]) ).
fof(c_0_69,plain,
! [X24,X25,X26] :
( ~ coll(X24,X25,X26)
| coll(X25,X24,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_70,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
coll(esk22_0,esk22_0,esk28_0),
inference(spm,[status(thm)],[c_0_62,c_0_52]) ).
fof(c_0_72,plain,
! [X375,X376,X377,X378,X379] :
( ~ midp(X379,X375,X376)
| ~ para(X375,X377,X376,X378)
| ~ para(X375,X378,X376,X377)
| midp(X379,X377,X378) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_73,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_74,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_65]) ).
fof(c_0_75,plain,
! [X388,X389,X390] :
( ~ cong(X388,X389,X388,X390)
| ~ coll(X388,X389,X390)
| midp(X388,X389,X390) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_76,negated_conjecture,
( cong(X1,X2,esk28_0,esk22_0)
| ~ cong(X1,X2,esk28_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
cong(esk28_0,esk22_0,esk28_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_68]) ).
cnf(c_0_78,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
coll(esk22_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_83,negated_conjecture,
cong(esk28_0,esk22_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_84,negated_conjecture,
coll(esk28_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_85,plain,
! [X427,X428,X429,X430,X431,X432,X433,X434] :
( ~ eqratio(X427,X428,X429,X430,X431,X432,X433,X434)
| ~ cong(X431,X432,X433,X434)
| cong(X427,X428,X429,X430) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_86,plain,
! [X397,X398,X399,X400,X401,X402] :
( ~ midp(X401,X397,X398)
| ~ midp(X402,X399,X400)
| eqratio(X401,X397,X397,X398,X402,X399,X399,X400) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_87,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_88,negated_conjecture,
midp(esk28_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84])]) ).
cnf(c_0_89,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_85]) ).
cnf(c_0_90,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_86]) ).
cnf(c_0_91,negated_conjecture,
midp(esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_92,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_89,c_0_90]) ).
cnf(c_0_93,negated_conjecture,
cong(esk28_0,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_59,c_0_91]) ).
fof(c_0_94,plain,
! [X385,X386,X387] :
( ~ para(X385,X386,X385,X387)
| coll(X385,X386,X387) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
fof(c_0_95,plain,
! [X142,X143,X144,X145] :
( ~ cong(X142,X143,X144,X145)
| cong(X144,X145,X142,X143) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_96,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_92,c_0_93]),c_0_91])]) ).
cnf(c_0_97,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
fof(c_0_98,plain,
! [X411,X412,X413,X414,X415,X416,X417,X418] :
( ~ eqangle(X411,X412,X413,X414,X415,X416,X417,X418)
| ~ para(X415,X416,X417,X418)
| para(X411,X412,X413,X414) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_99,plain,
! [X290,X291,X292] :
( ~ cong(X292,X290,X292,X291)
| eqangle(X292,X290,X290,X291,X290,X291,X292,X291) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_100,plain,
! [X138,X139,X140,X141] :
( ~ cong(X138,X139,X140,X141)
| cong(X138,X139,X141,X140) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_101,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_102,negated_conjecture,
cong(esk28_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_96,c_0_91]) ).
cnf(c_0_103,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_81]) ).
cnf(c_0_104,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_98]) ).
cnf(c_0_105,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_106,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_107,negated_conjecture,
cong(X1,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_78,c_0_103]) ).
cnf(c_0_109,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_110,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_111,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_108]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X1,X1,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_81])]) ).
cnf(c_0_113,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_111]),c_0_111])]) ).
cnf(c_0_114,negated_conjecture,
para(X1,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_47,c_0_112]) ).
cnf(c_0_115,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_113])]) ).
cnf(c_0_116,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk28_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_114]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_115,c_0_110]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_87,c_0_118]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_96,c_0_119]) ).
cnf(c_0_121,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_101,c_0_120]) ).
fof(c_0_122,plain,
! [X285,X286,X287,X288,X289] :
( ~ midp(X288,X285,X286)
| ~ para(X288,X289,X286,X287)
| ~ coll(X289,X285,X287)
| midp(X289,X285,X287) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_123,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_106,c_0_121]) ).
cnf(c_0_124,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_122]) ).
cnf(c_0_125,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_105]) ).
cnf(c_0_126,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_115,c_0_123]) ).
fof(c_0_127,plain,
! [X280,X281,X282,X283,X284] :
( ~ midp(X283,X280,X281)
| ~ midp(X284,X280,X282)
| para(X283,X284,X281,X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_128,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_113])]) ).
cnf(c_0_129,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_123])]) ).
cnf(c_0_130,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_60,c_0_126]) ).
cnf(c_0_131,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_132,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_133,negated_conjecture,
~ para(esk27_0,esk25_0,esk23_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_134,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_132]),c_0_132])]) ).
cnf(c_0_135,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_134])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO588+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % 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 19:15:57 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.48/0.57 start to proof: theBenchmark
% 0.49/0.98 % Version : CSE_E---1.5
% 0.49/0.98 % Problem : theBenchmark.p
% 0.49/0.98 % Proof found
% 0.49/0.98 % SZS status Theorem for theBenchmark.p
% 0.49/0.98 % SZS output start Proof
% See solution above
% 0.49/0.99 % Total time : 0.400000 s
% 0.49/0.99 % SZS output end Proof
% 0.49/0.99 % Total time : 0.405000 s
%------------------------------------------------------------------------------