TSTP Solution File: GEO606+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO606+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 : n004.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 22:48:50 EDT 2023
% Result : Theorem 0.84s 0.94s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 77
% Syntax : Number of formulae : 182 ( 28 unt; 49 typ; 0 def)
% Number of atoms : 319 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 300 ( 114 ~; 111 |; 46 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 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 : 38 ( 38 usr; 18 con; 0-6 aty)
% Number of variables : 545 ( 38 sgn; 286 !; 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 ).
tff(decl_63,type,
esk31_0: $i ).
tff(decl_64,type,
esk32_0: $i ).
tff(decl_65,type,
esk33_0: $i ).
tff(decl_66,type,
esk34_0: $i ).
tff(decl_67,type,
esk35_0: $i ).
tff(decl_68,type,
esk36_0: $i ).
tff(decl_69,type,
esk37_0: $i ).
tff(decl_70,type,
esk38_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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(exemplo6GDDFULL618068,conjecture,
! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( perp(X9,X1,X9,X2)
& circle(X1,X9,X20,X21)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X4,X24)
& circle(X1,X4,X5,X25)
& coll(X5,X4,X1)
& circle(X1,X9,X19,X26)
& circle(X2,X9,X19,X27)
& coll(X6,X4,X19)
& circle(X2,X9,X6,X28)
& circle(X2,X6,X13,X29)
& coll(X13,X6,X2) )
=> perp(X13,X6,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).
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(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(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(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_28,plain,
! [X62,X63,X64,X65,X66,X67] :
( ~ perp(X62,X63,X64,X65)
| ~ perp(X64,X65,X66,X67)
| para(X62,X63,X66,X67) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_29,plain,
! [X504,X505,X506,X507] :
( ~ circle(X507,X504,X505,X506)
| perp(esk12_4(X504,X505,X506,X507),X504,X504,X507) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_30,plain,
! [X58,X59,X60,X61] :
( ~ perp(X58,X59,X60,X61)
| perp(X60,X61,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_31,plain,
! [X111,X112,X113,X114,X115,X116,X117,X118] :
( ~ eqangle(X111,X112,X113,X114,X115,X116,X117,X118)
| eqangle(X113,X114,X111,X112,X117,X118,X115,X116) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_32,plain,
! [X265,X266,X267,X268,X269,X270] :
( ~ para(X265,X266,X267,X268)
| eqangle(X265,X266,X269,X270,X267,X268,X269,X270) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X9,X4,X5,X19,X6,X13,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29] :
( ( perp(X9,X1,X9,X2)
& circle(X1,X9,X20,X21)
& circle(X2,X9,X22,X23)
& circle(X1,X9,X4,X24)
& circle(X1,X4,X5,X25)
& coll(X5,X4,X1)
& circle(X1,X9,X19,X26)
& circle(X2,X9,X19,X27)
& coll(X6,X4,X19)
& circle(X2,X9,X6,X28)
& circle(X2,X6,X13,X29)
& coll(X13,X6,X2) )
=> perp(X13,X6,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618068]) ).
fof(c_0_37,plain,
! [X259,X260,X261,X262,X263,X264] :
( ~ eqangle(X259,X260,X263,X264,X261,X262,X263,X264)
| para(X259,X260,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_38,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_31]) ).
cnf(c_0_39,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,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_33,c_0_34]) ).
cnf(c_0_41,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_42,negated_conjecture,
( perp(esk23_0,esk21_0,esk23_0,esk22_0)
& circle(esk21_0,esk23_0,esk29_0,esk30_0)
& circle(esk22_0,esk23_0,esk31_0,esk32_0)
& circle(esk21_0,esk23_0,esk24_0,esk33_0)
& circle(esk21_0,esk24_0,esk25_0,esk34_0)
& coll(esk25_0,esk24_0,esk21_0)
& circle(esk21_0,esk23_0,esk26_0,esk35_0)
& circle(esk22_0,esk23_0,esk26_0,esk36_0)
& coll(esk27_0,esk24_0,esk26_0)
& circle(esk22_0,esk23_0,esk27_0,esk37_0)
& circle(esk22_0,esk27_0,esk28_0,esk38_0)
& coll(esk28_0,esk27_0,esk22_0)
& ~ perp(esk28_0,esk27_0,esk24_0,esk25_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_43,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
circle(esk22_0,esk27_0,esk28_0,esk38_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_47,plain,
! [X394,X395,X396] :
( ~ para(X394,X395,X394,X396)
| coll(X394,X395,X396) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_48,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(esk27_0,esk22_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X33,X34,X35] :
( ~ coll(X33,X34,X35)
| coll(X34,X33,X35) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_51,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X30,X31,X32] :
( ~ coll(X30,X31,X32)
| coll(X30,X32,X31) ),
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_50]) ).
cnf(c_0_55,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_56,plain,
! [X279,X280,X281,X282] :
( ~ eqangle(X281,X279,X281,X280,X282,X279,X282,X280)
| ~ coll(X281,X282,X280)
| cyclic(X279,X280,X281,X282) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_57,plain,
! [X36,X37,X38,X39] :
( ~ coll(X36,X37,X38)
| ~ coll(X36,X37,X39)
| coll(X38,X39,X36) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_58,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,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_56]) ).
cnf(c_0_61,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X90,X91,X92,X93] :
( ~ cyclic(X90,X91,X92,X93)
| cyclic(X90,X92,X91,X93) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_39]) ).
cnf(c_0_65,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_62])]) ).
fof(c_0_66,plain,
! [X86,X87,X88,X89] :
( ~ cyclic(X86,X87,X88,X89)
| cyclic(X86,X87,X89,X88) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_67,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_52])]),c_0_65])]) ).
fof(c_0_69,plain,
! [X320,X321,X322,X323,X324] :
( ~ circle(X323,X320,X321,X322)
| ~ coll(X324,X321,X322)
| ~ eqangle(X320,X321,X320,X322,X323,X321,X323,X324)
| midp(X324,X321,X322) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_70,plain,
! [X271,X272,X273,X274] :
( ~ cyclic(X271,X272,X273,X274)
| eqangle(X273,X271,X273,X272,X274,X271,X274,X272) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_71,plain,
! [X94,X95,X96,X97] :
( ~ cyclic(X94,X95,X96,X97)
| cyclic(X95,X94,X96,X97) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_72,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,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_69]) ).
cnf(c_0_75,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
fof(c_0_76,plain,
! [X98,X99,X100,X101,X102] :
( ~ cyclic(X98,X99,X100,X101)
| ~ cyclic(X98,X99,X100,X102)
| cyclic(X99,X100,X101,X102) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_77,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_79,plain,
! [X294,X295,X296,X297,X298] :
( ~ midp(X297,X294,X295)
| ~ para(X297,X298,X295,X296)
| ~ coll(X298,X294,X296)
| midp(X298,X294,X296) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_80,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_74,c_0_75]) ).
cnf(c_0_81,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_83,plain,
! [X299,X300,X301] :
( ~ cong(X301,X299,X301,X300)
| eqangle(X301,X299,X299,X300,X299,X300,X301,X300) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_84,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_79]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_59])]) ).
cnf(c_0_86,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
fof(c_0_87,plain,
! [X40,X41,X42,X43] :
( ~ para(X40,X41,X42,X43)
| para(X40,X41,X43,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_88,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_89,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_65])]) ).
cnf(c_0_90,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_86])]) ).
cnf(c_0_91,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_43,c_0_88]) ).
fof(c_0_93,plain,
! [X74,X75,X76] :
( ~ midp(X76,X75,X74)
| midp(X76,X74,X75) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_94,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_89,c_0_52]) ).
cnf(c_0_95,negated_conjecture,
midp(esk38_0,esk28_0,esk38_0),
inference(spm,[status(thm)],[c_0_90,c_0_46]) ).
cnf(c_0_96,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
fof(c_0_97,plain,
! [X400,X401,X402] :
( ~ midp(X400,X401,X402)
| cong(X400,X401,X400,X402) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_98,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_96]) ).
cnf(c_0_101,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_103,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_59])]) ).
cnf(c_0_104,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_105,plain,
! [X420,X421,X422,X423,X424,X425,X426,X427] :
( ~ eqangle(X420,X421,X422,X423,X424,X425,X426,X427)
| ~ para(X424,X425,X426,X427)
| para(X420,X421,X422,X423) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_106,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk28_0) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_107,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_105]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_106,c_0_102]) ).
cnf(c_0_109,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_75]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_94,c_0_108]) ).
fof(c_0_111,plain,
! [X436,X437,X438,X439,X440,X441,X442,X443] :
( ~ eqratio(X436,X437,X438,X439,X440,X441,X442,X443)
| ~ cong(X440,X441,X442,X443)
| cong(X436,X437,X438,X439) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_112,plain,
! [X406,X407,X408,X409,X410,X411] :
( ~ midp(X410,X406,X407)
| ~ midp(X411,X408,X409)
| eqratio(X410,X406,X406,X407,X411,X408,X408,X409) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_113,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_86])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_98,c_0_110]) ).
cnf(c_0_115,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_111]) ).
cnf(c_0_116,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_112]) ).
cnf(c_0_117,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_92]) ).
cnf(c_0_118,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_101,c_0_114]) ).
cnf(c_0_119,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_115,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_99]) ).
cnf(c_0_121,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_118])]) ).
fof(c_0_122,plain,
! [X147,X148,X149,X150] :
( ~ cong(X147,X148,X149,X150)
| cong(X147,X148,X150,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
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_119,c_0_120]),c_0_102])]) ).
cnf(c_0_124,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_121]),c_0_110])]) ).
fof(c_0_125,plain,
! [X341,X342,X343,X344] :
( ~ cong(X341,X343,X342,X343)
| ~ cong(X341,X344,X342,X344)
| perp(X341,X342,X343,X344) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_126,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
cnf(c_0_127,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]) ).
cnf(c_0_128,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_129,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_130,negated_conjecture,
~ perp(esk28_0,esk27_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_131,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129]),c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_131])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO606+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:23:07 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.84/0.94 % Version : CSE_E---1.5
% 0.84/0.94 % Problem : theBenchmark.p
% 0.84/0.94 % Proof found
% 0.84/0.94 % SZS status Theorem for theBenchmark.p
% 0.84/0.94 % SZS output start Proof
% See solution above
% 0.84/0.96 % Total time : 0.354000 s
% 0.84/0.96 % SZS output end Proof
% 0.84/0.96 % Total time : 0.359000 s
%------------------------------------------------------------------------------