TSTP Solution File: GEO550+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO550+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 : 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 22:48:35 EDT 2023
% Result : Theorem 0.21s 0.80s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 60
% Syntax : Number of formulae : 119 ( 17 unt; 42 typ; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 148 ( 53 ~; 50 |; 26 &)
% ( 0 <=>; 19 =>; 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 : 31 ( 31 usr; 11 con; 0-6 aty)
% Number of variables : 305 ( 20 sgn; 174 !; 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 ).
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(exemplo6GDDFULL012010,conjecture,
! [X1,X2,X3,X4,X9,X5,X19,X8,X10,X20,X21] :
( ( coll(X9,X3,X4)
& coll(X9,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X1,X4)
& circle(X19,X3,X4,X5)
& circle(X8,X5,X2,X1)
& circle(X19,X3,X10,X20)
& circle(X8,X1,X10,X21) )
=> cyclic(X9,X4,X10,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012010) ).
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(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(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(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(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(c_0_18,plain,
! [X54,X55,X56,X57,X58,X59] :
( ~ perp(X54,X55,X56,X57)
| ~ perp(X56,X57,X58,X59)
| para(X54,X55,X58,X59) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_19,plain,
! [X496,X497,X498,X499] :
( ~ circle(X499,X496,X497,X498)
| perp(esk12_4(X496,X497,X498,X499),X496,X496,X499) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_20,plain,
! [X50,X51,X52,X53] :
( ~ perp(X50,X51,X52,X53)
| perp(X52,X53,X50,X51) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_21,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_24,negated_conjecture,
~ ! [X1,X2,X3,X4,X9,X5,X19,X8,X10,X20,X21] :
( ( coll(X9,X3,X4)
& coll(X9,X1,X2)
& coll(X5,X2,X3)
& coll(X5,X1,X4)
& circle(X19,X3,X4,X5)
& circle(X8,X5,X2,X1)
& circle(X19,X3,X10,X20)
& circle(X8,X1,X10,X21) )
=> cyclic(X9,X4,X10,X1) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012010]) ).
cnf(c_0_25,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_21,c_0_22]) ).
cnf(c_0_26,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_27,negated_conjecture,
( coll(esk25_0,esk23_0,esk24_0)
& coll(esk25_0,esk21_0,esk22_0)
& coll(esk26_0,esk22_0,esk23_0)
& coll(esk26_0,esk21_0,esk24_0)
& circle(esk27_0,esk23_0,esk24_0,esk26_0)
& circle(esk28_0,esk26_0,esk22_0,esk21_0)
& circle(esk27_0,esk23_0,esk29_0,esk30_0)
& circle(esk28_0,esk21_0,esk29_0,esk31_0)
& ~ cyclic(esk25_0,esk24_0,esk29_0,esk21_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_28,plain,
! [X32,X33,X34,X35] :
( ~ para(X32,X33,X34,X35)
| para(X32,X33,X35,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_29,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,negated_conjecture,
circle(esk28_0,esk26_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110)
| eqangle(X105,X106,X103,X104,X109,X110,X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_32,plain,
! [X257,X258,X259,X260,X261,X262] :
( ~ para(X257,X258,X259,X260)
| eqangle(X257,X258,X261,X262,X259,X260,X261,X262) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_33,plain,
! [X36,X37,X38,X39] :
( ~ para(X36,X37,X38,X39)
| para(X38,X39,X36,X37) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_34,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
para(esk26_0,esk28_0,esk26_0,esk28_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X251,X252,X253,X254,X255,X256] :
( ~ eqangle(X251,X252,X255,X256,X253,X254,X255,X256)
| para(X251,X252,X253,X254) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_37,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_38,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_39,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
para(esk26_0,esk28_0,esk28_0,esk26_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
para(esk28_0,esk26_0,esk26_0,esk28_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X386,X387,X388] :
( ~ para(X386,X387,X386,X388)
| coll(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
para(esk28_0,esk26_0,esk28_0,esk26_0),
inference(spm,[status(thm)],[c_0_34,c_0_43]) ).
fof(c_0_47,plain,
! [X25,X26,X27] :
( ~ coll(X25,X26,X27)
| coll(X26,X25,X27) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_50,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X22,X24,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_51,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_53,plain,
! [X271,X272,X273,X274] :
( ~ eqangle(X273,X271,X273,X272,X274,X271,X274,X272)
| ~ coll(X273,X274,X272)
| cyclic(X271,X272,X273,X274) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_54,plain,
! [X28,X29,X30,X31] :
( ~ coll(X28,X29,X30)
| ~ coll(X28,X29,X31)
| coll(X30,X31,X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_55,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,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_53]) ).
cnf(c_0_58,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_60,plain,
! [X82,X83,X84,X85] :
( ~ cyclic(X82,X83,X84,X85)
| cyclic(X82,X84,X83,X85) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_59])]) ).
fof(c_0_63,plain,
! [X78,X79,X80,X81] :
( ~ cyclic(X78,X79,X80,X81)
| cyclic(X78,X79,X81,X80) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_64,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_65,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_49])]),c_0_62])]) ).
fof(c_0_66,plain,
! [X86,X87,X88,X89] :
( ~ cyclic(X86,X87,X88,X89)
| cyclic(X87,X86,X88,X89) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_67,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_68,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_69,plain,
! [X90,X91,X92,X93,X94] :
( ~ cyclic(X90,X91,X92,X93)
| ~ cyclic(X90,X91,X92,X94)
| cyclic(X91,X92,X93,X94) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_70,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_72,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_73,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
~ cyclic(esk25_0,esk24_0,esk29_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
cnf(c_0_76,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO550+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 22:53:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.80 % Version : CSE_E---1.5
% 0.21/0.80 % Problem : theBenchmark.p
% 0.21/0.80 % Proof found
% 0.21/0.80 % SZS status Theorem for theBenchmark.p
% 0.21/0.80 % SZS output start Proof
% See solution above
% 0.21/0.81 % Total time : 0.198000 s
% 0.21/0.81 % SZS output end Proof
% 0.21/0.81 % Total time : 0.203000 s
%------------------------------------------------------------------------------