TSTP Solution File: GEO587+1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO587+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 : n006.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 0.67s 0.79s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 64
% Syntax : Number of formulae : 163 ( 35 unt; 40 typ; 0 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 262 ( 102 ~; 99 |; 36 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 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 : 29 ( 29 usr; 9 con; 0-6 aty)
% Number of variables : 450 ( 32 sgn; 238 !; 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 ).
fof(exemplo6GDDFULL416049,conjecture,
! [X1,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( perp(X1,X3,X2,X4)
& midp(X9,X2,X1)
& midp(X10,X3,X2)
& midp(X15,X4,X3)
& midp(X19,X1,X4)
& coll(X8,X9,X15)
& coll(X8,X10,X19) )
=> cong(X8,X19,X8,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416049) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( perp(X1,X3,X2,X4)
& midp(X9,X2,X1)
& midp(X10,X3,X2)
& midp(X15,X4,X3)
& midp(X19,X1,X4)
& coll(X8,X9,X15)
& coll(X8,X10,X19) )
=> cong(X8,X19,X8,X15) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416049]) ).
fof(c_0_25,plain,
! [X393,X394,X395] :
( ~ midp(X393,X394,X395)
| coll(X393,X394,X395) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_26,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk24_0)
& midp(esk25_0,esk23_0,esk21_0)
& midp(esk26_0,esk22_0,esk23_0)
& midp(esk27_0,esk24_0,esk22_0)
& midp(esk28_0,esk21_0,esk24_0)
& coll(esk29_0,esk25_0,esk27_0)
& coll(esk29_0,esk26_0,esk28_0)
& ~ cong(esk29_0,esk28_0,esk29_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_27,plain,
! [X369,X370,X371,X372,X373] :
( ~ midp(X373,X369,X370)
| ~ midp(X373,X371,X372)
| para(X369,X371,X370,X372) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_28,plain,
! [X460,X461,X462,X463,X464,X465] :
( ( midp(esk6_6(X460,X461,X462,X463,X464,X465),X460,X463)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) )
& ( para(esk6_6(X460,X461,X462,X463,X464,X465),X464,X461,X463)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) )
& ( para(esk6_6(X460,X461,X462,X463,X464,X465),X465,X460,X462)
| ~ midp(X464,X460,X461)
| ~ midp(X465,X462,X463) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
fof(c_0_29,plain,
! [X20,X21,X22] :
( ~ coll(X20,X21,X22)
| coll(X20,X22,X21) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_30,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
midp(esk28_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_34,plain,
! [X64,X65,X66] :
( ~ midp(X66,X65,X64)
| midp(X66,X64,X65) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_35,plain,
! [X26,X27,X28,X29] :
( ~ coll(X26,X27,X28)
| ~ coll(X26,X27,X29)
| coll(X28,X29,X26) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_36,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,negated_conjecture,
coll(esk28_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_38,plain,
! [X101,X102,X103,X104,X105,X106,X107,X108] :
( ~ eqangle(X101,X102,X103,X104,X105,X106,X107,X108)
| eqangle(X103,X104,X101,X102,X107,X108,X105,X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_39,plain,
! [X255,X256,X257,X258,X259,X260] :
( ~ para(X255,X256,X257,X258)
| eqangle(X255,X256,X259,X260,X257,X258,X259,X260) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_40,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_41,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_42,plain,
! [X390,X391,X392] :
( ~ midp(X390,X391,X392)
| cong(X390,X391,X390,X392) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_43,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
coll(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_45,plain,
! [X249,X250,X251,X252,X253,X254] :
( ~ eqangle(X249,X250,X253,X254,X251,X252,X253,X254)
| para(X249,X250,X251,X252) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_46,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_38]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_49,negated_conjecture,
midp(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
fof(c_0_50,plain,
! [X145,X146,X147,X148,X149,X150] :
( ~ cong(X145,X146,X147,X148)
| ~ cong(X147,X148,X149,X150)
| cong(X145,X146,X149,X150) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_51,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( coll(X1,esk21_0,esk28_0)
| ~ coll(esk28_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_53,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( para(X1,X1,esk21_0,esk21_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_51,c_0_49]) ).
fof(c_0_58,plain,
! [X23,X24,X25] :
( ~ coll(X23,X24,X25)
| coll(X24,X23,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_59,negated_conjecture,
coll(esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_52,c_0_44]) ).
fof(c_0_60,plain,
! [X374,X375,X376,X377,X378] :
( ~ midp(X378,X374,X375)
| ~ para(X374,X376,X375,X377)
| ~ para(X374,X377,X375,X376)
| midp(X378,X376,X377) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_61,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
para(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
fof(c_0_63,plain,
! [X387,X388,X389] :
( ~ cong(X387,X388,X387,X389)
| ~ coll(X387,X388,X389)
| midp(X387,X388,X389) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_64,negated_conjecture,
( cong(X1,X2,esk28_0,esk21_0)
| ~ cong(X1,X2,esk28_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_66,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
coll(esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_59]) ).
cnf(c_0_68,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_60]) ).
cnf(c_0_69,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_71,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
coll(esk28_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X426,X427,X428,X429,X430,X431,X432,X433] :
( ~ eqratio(X426,X427,X428,X429,X430,X431,X432,X433)
| ~ cong(X430,X431,X432,X433)
| cong(X426,X427,X428,X429) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_74,plain,
! [X396,X397,X398,X399,X400,X401] :
( ~ midp(X400,X396,X397)
| ~ midp(X401,X398,X399)
| eqratio(X400,X396,X396,X397,X401,X398,X398,X399) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_75,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_69])]) ).
cnf(c_0_76,negated_conjecture,
midp(esk28_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
fof(c_0_77,plain,
! [X384,X385,X386] :
( ~ para(X384,X385,X384,X386)
| coll(X384,X385,X386) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_78,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_73]) ).
cnf(c_0_79,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_74]) ).
cnf(c_0_80,negated_conjecture,
midp(esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_81,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_82,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_78,c_0_79]) ).
cnf(c_0_83,negated_conjecture,
cong(esk28_0,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_51,c_0_80]) ).
cnf(c_0_84,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_81,c_0_69]) ).
fof(c_0_85,plain,
! [X141,X142,X143,X144] :
( ~ cong(X141,X142,X143,X144)
| cong(X143,X144,X141,X142) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_86,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_82,c_0_83]),c_0_80])]) ).
cnf(c_0_87,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_66,c_0_84]) ).
fof(c_0_88,plain,
! [X410,X411,X412,X413,X414,X415,X416,X417] :
( ~ eqangle(X410,X411,X412,X413,X414,X415,X416,X417)
| ~ para(X414,X415,X416,X417)
| para(X410,X411,X412,X413) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_89,plain,
! [X289,X290,X291] :
( ~ cong(X291,X289,X291,X290)
| eqangle(X291,X289,X289,X290,X289,X290,X291,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_90,plain,
! [X137,X138,X139,X140] :
( ~ cong(X137,X138,X139,X140)
| cong(X137,X138,X140,X139) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_91,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_92,negated_conjecture,
cong(esk28_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
cnf(c_0_93,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_87]) ).
fof(c_0_94,plain,
! [X284,X285,X286,X287,X288] :
( ~ midp(X287,X284,X285)
| ~ para(X287,X288,X285,X286)
| ~ coll(X288,X284,X286)
| midp(X288,X284,X286) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_95,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_88]) ).
cnf(c_0_96,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_98,negated_conjecture,
cong(X1,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_93]),c_0_93])]) ).
cnf(c_0_100,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_101,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_103,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_99])]) ).
cnf(c_0_104,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_99])]) ).
cnf(c_0_105,negated_conjecture,
para(X1,X1,X1,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_69])]) ).
cnf(c_0_106,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_103,c_0_102]) ).
cnf(c_0_107,negated_conjecture,
( midp(X1,X2,esk28_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_41,c_0_106]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_104,c_0_69]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_75,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
fof(c_0_113,plain,
! [X279,X280,X281,X282,X283] :
( ~ midp(X282,X279,X280)
| ~ midp(X283,X279,X281)
| para(X282,X283,X280,X281) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_112])]) ).
cnf(c_0_115,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,esk28_0,X2),
inference(spm,[status(thm)],[c_0_41,c_0_114]) ).
cnf(c_0_117,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_116])]) ).
cnf(c_0_118,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_117]),c_0_117])]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_118,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
~ cong(esk29_0,esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_121,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_119])]) ).
cnf(c_0_122,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_121])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO587+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 : n006.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 21:08:06 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.54 start to proof: theBenchmark
% 0.67/0.79 % Version : CSE_E---1.5
% 0.67/0.79 % Problem : theBenchmark.p
% 0.67/0.79 % Proof found
% 0.67/0.79 % SZS status Theorem for theBenchmark.p
% 0.67/0.79 % SZS output start Proof
% See solution above
% 0.67/0.80 % Total time : 0.237000 s
% 0.67/0.80 % SZS output end Proof
% 0.67/0.80 % Total time : 0.243000 s
%------------------------------------------------------------------------------