TSTP Solution File: GEO580+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO580+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 : n014.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 22:48:43 EDT 2023
% Result : Theorem 0.62s 0.80s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 66
% Syntax : Number of formulae : 207 ( 69 unt; 39 typ; 0 def)
% Number of atoms : 336 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 269 ( 101 ~; 98 |; 42 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 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 : 28 ( 28 usr; 8 con; 0-6 aty)
% Number of variables : 447 ( 24 sgn; 256 !; 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 ).
fof(exemplo6GDDFULL416042,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& perp(X5,X1,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X2,X1,X4)
& coll(X6,X1,X4)
& perp(X13,X3,X1,X4)
& coll(X13,X1,X4)
& midp(X14,X3,X2) )
=> cyclic(X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416042) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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(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(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(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(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( eqangle(X4,X1,X1,X2,X4,X1,X1,X3)
& eqangle(X4,X2,X2,X3,X4,X2,X2,X1)
& eqangle(X4,X3,X3,X1,X4,X3,X3,X2)
& perp(X5,X1,X2,X3)
& coll(X5,X2,X3)
& perp(X6,X2,X1,X4)
& coll(X6,X1,X4)
& perp(X13,X3,X1,X4)
& coll(X13,X1,X4)
& midp(X14,X3,X2) )
=> cyclic(X5,X6,X13,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416042]) ).
fof(c_0_28,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107)
| eqangle(X102,X103,X100,X101,X106,X107,X104,X105) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_29,negated_conjecture,
( eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& perp(esk25_0,esk21_0,esk22_0,esk23_0)
& coll(esk25_0,esk22_0,esk23_0)
& perp(esk26_0,esk22_0,esk21_0,esk24_0)
& coll(esk26_0,esk21_0,esk24_0)
& perp(esk27_0,esk23_0,esk21_0,esk24_0)
& coll(esk27_0,esk21_0,esk24_0)
& midp(esk28_0,esk23_0,esk22_0)
& ~ cyclic(esk25_0,esk26_0,esk27_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X248,X249,X250,X251,X252,X253] :
( ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253)
| para(X248,X249,X250,X251) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_31,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_28]) ).
cnf(c_0_32,negated_conjecture,
eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X383,X384,X385] :
( ~ para(X383,X384,X383,X385)
| coll(X383,X384,X385) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_34,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,negated_conjecture,
eqangle(esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_36,plain,
! [X19,X20,X21] :
( ~ coll(X19,X20,X21)
| coll(X19,X21,X20) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_37,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_39,plain,
! [X25,X26,X27,X28] :
( ~ coll(X25,X26,X27)
| ~ coll(X25,X26,X28)
| coll(X27,X28,X25) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_40,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_42,plain,
! [X22,X23,X24] :
( ~ coll(X22,X23,X24)
| coll(X23,X22,X24) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_43,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_44,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_45,negated_conjecture,
coll(esk27_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_46,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_47,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,negated_conjecture,
coll(esk27_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
coll(esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_47,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_48]) ).
cnf(c_0_52,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
coll(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_51,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
coll(esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_54]) ).
cnf(c_0_57,negated_conjecture,
coll(esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_55]) ).
fof(c_0_58,plain,
! [X116,X117,X118,X119,X120,X121,X122,X123] :
( ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123)
| eqangle(X116,X117,X120,X121,X118,X119,X122,X123) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_59,negated_conjecture,
eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_60,negated_conjecture,
coll(esk22_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_61,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416)
| ~ para(X413,X414,X415,X416)
| para(X409,X410,X411,X412) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_62,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,negated_conjecture,
eqangle(esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_31,c_0_59]) ).
fof(c_0_64,plain,
! [X392,X393,X394] :
( ~ midp(X392,X393,X394)
| coll(X392,X393,X394) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_65,negated_conjecture,
coll(esk22_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_40,c_0_60]) ).
fof(c_0_66,plain,
! [X29,X30,X31,X32] :
( ~ para(X29,X30,X31,X32)
| para(X29,X30,X32,X31) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_67,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_61]) ).
cnf(c_0_68,negated_conjecture,
eqangle(esk24_0,esk22_0,esk24_0,esk22_0,esk22_0,esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_59]) ).
cnf(c_0_69,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_63]) ).
cnf(c_0_70,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,negated_conjecture,
midp(esk28_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_72,negated_conjecture,
coll(esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
cnf(c_0_73,negated_conjecture,
coll(esk21_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_46,c_0_65]) ).
fof(c_0_74,plain,
! [X33,X34,X35,X36] :
( ~ para(X33,X34,X35,X36)
| para(X35,X36,X33,X34) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_75,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_76,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
fof(c_0_77,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_78,plain,
! [X63,X64,X65] :
( ~ midp(X65,X64,X63)
| midp(X65,X63,X64) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_79,negated_conjecture,
coll(esk28_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
coll(esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_44]) ).
cnf(c_0_81,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_72]) ).
cnf(c_0_82,negated_conjecture,
coll(esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_73]) ).
cnf(c_0_83,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_84,negated_conjecture,
para(esk24_0,esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_85,plain,
! [X144,X145,X146,X147,X148,X149] :
( ~ cong(X144,X145,X146,X147)
| ~ cong(X146,X147,X148,X149)
| cong(X144,X145,X148,X149) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_86,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_87,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( coll(X1,esk22_0,esk28_0)
| ~ coll(esk28_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_79]) ).
cnf(c_0_89,negated_conjecture,
coll(esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_40,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
coll(esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_91,plain,
! [X373,X374,X375,X376,X377] :
( ~ midp(X377,X373,X374)
| ~ para(X373,X375,X374,X376)
| ~ para(X373,X376,X374,X375)
| midp(X377,X375,X376) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_92,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_94,negated_conjecture,
cong(esk28_0,esk23_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_86,c_0_71]) ).
cnf(c_0_95,negated_conjecture,
midp(esk28_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_71]) ).
cnf(c_0_96,negated_conjecture,
coll(esk22_0,esk22_0,esk28_0),
inference(spm,[status(thm)],[c_0_88,c_0_79]) ).
cnf(c_0_97,negated_conjecture,
( coll(X1,esk23_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_89]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_90]) ).
cnf(c_0_99,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_91]) ).
cnf(c_0_100,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_75,c_0_92]) ).
fof(c_0_101,plain,
! [X386,X387,X388] :
( ~ cong(X386,X387,X386,X388)
| ~ coll(X386,X387,X388)
| midp(X386,X387,X388) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_102,negated_conjecture,
( cong(X1,X2,esk28_0,esk22_0)
| ~ cong(X1,X2,esk28_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
cong(esk28_0,esk22_0,esk28_0,esk23_0),
inference(spm,[status(thm)],[c_0_86,c_0_95]) ).
cnf(c_0_104,negated_conjecture,
coll(esk22_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
coll(esk23_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_79]) ).
cnf(c_0_106,negated_conjecture,
coll(esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_100])]) ).
cnf(c_0_108,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
cong(esk28_0,esk22_0,esk28_0,esk22_0),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_110,negated_conjecture,
coll(esk28_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
coll(esk23_0,esk22_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
coll(esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_106]) ).
fof(c_0_113,plain,
! [X136,X137,X138,X139] :
( ~ cong(X136,X137,X138,X139)
| cong(X136,X137,X139,X138) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_114,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_107]) ).
cnf(c_0_115,negated_conjecture,
midp(esk28_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_110])]) ).
cnf(c_0_116,negated_conjecture,
( coll(X1,esk28_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
coll(esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_112]) ).
fof(c_0_118,plain,
! [X140,X141,X142,X143] :
( ~ cong(X140,X141,X142,X143)
| cong(X142,X143,X140,X141) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_119,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_113]) ).
cnf(c_0_120,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_121,negated_conjecture,
coll(esk28_0,esk28_0,esk23_0),
inference(spm,[status(thm)],[c_0_116,c_0_111]) ).
cnf(c_0_122,negated_conjecture,
coll(esk24_0,esk28_0,esk23_0),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_123,plain,
! [X368,X369,X370,X371,X372] :
( ~ midp(X372,X368,X369)
| ~ midp(X372,X370,X371)
| para(X368,X370,X369,X371) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_124,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) )
& ( para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461)
| ~ midp(X463,X459,X460)
| ~ midp(X464,X461,X462) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_125,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_126,negated_conjecture,
cong(esk28_0,esk24_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
coll(esk28_0,esk23_0,esk28_0),
inference(spm,[status(thm)],[c_0_40,c_0_121]) ).
cnf(c_0_128,negated_conjecture,
coll(esk28_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_46,c_0_122]) ).
cnf(c_0_129,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_130,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_124]) ).
cnf(c_0_131,negated_conjecture,
cong(esk24_0,esk28_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_132,negated_conjecture,
( coll(X1,esk28_0,esk28_0)
| ~ coll(esk28_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_127]) ).
cnf(c_0_133,negated_conjecture,
coll(esk28_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_128]) ).
fof(c_0_134,plain,
! [X254,X255,X256,X257,X258,X259] :
( ~ para(X254,X255,X256,X257)
| eqangle(X254,X255,X258,X259,X256,X257,X258,X259) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_135,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_129,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
cong(esk24_0,esk28_0,esk24_0,esk28_0),
inference(spm,[status(thm)],[c_0_119,c_0_131]) ).
cnf(c_0_137,negated_conjecture,
coll(esk24_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_138,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_139,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_135,c_0_130]) ).
cnf(c_0_140,negated_conjecture,
midp(esk24_0,esk28_0,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_136]),c_0_137])]) ).
cnf(c_0_141,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_31,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
( para(X1,X1,esk28_0,esk28_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
para(esk28_0,esk28_0,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_142,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_146,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_37,c_0_145]) ).
fof(c_0_147,plain,
! [X268,X269,X270,X271] :
( ~ eqangle(X270,X268,X270,X269,X271,X268,X271,X269)
| ~ coll(X270,X271,X269)
| cyclic(X268,X269,X270,X271) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_148,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_46,c_0_146]) ).
cnf(c_0_149,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_147]) ).
cnf(c_0_150,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_148]) ).
fof(c_0_151,plain,
! [X79,X80,X81,X82] :
( ~ cyclic(X79,X80,X81,X82)
| cyclic(X79,X81,X80,X82) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_152,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_149,c_0_138]) ).
cnf(c_0_153,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_150]),c_0_150])]) ).
fof(c_0_154,plain,
! [X75,X76,X77,X78] :
( ~ cyclic(X75,X76,X77,X78)
| cyclic(X75,X76,X78,X77) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_155,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_156,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_145])]),c_0_153])]) ).
fof(c_0_157,plain,
! [X83,X84,X85,X86] :
( ~ cyclic(X83,X84,X85,X86)
| cyclic(X84,X83,X85,X86) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_158,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_159,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
fof(c_0_160,plain,
! [X87,X88,X89,X90,X91] :
( ~ cyclic(X87,X88,X89,X90)
| ~ cyclic(X87,X88,X89,X91)
| cyclic(X88,X89,X90,X91) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_161,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_162,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_164,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_165,negated_conjecture,
~ cyclic(esk25_0,esk26_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_166,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_163,c_0_164]),c_0_164])]) ).
cnf(c_0_167,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_166])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO580+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.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 19:34:44 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.55 start to proof: theBenchmark
% 0.62/0.80 % Version : CSE_E---1.5
% 0.62/0.80 % Problem : theBenchmark.p
% 0.62/0.80 % Proof found
% 0.62/0.80 % SZS status Theorem for theBenchmark.p
% 0.62/0.80 % SZS output start Proof
% See solution above
% 0.76/0.81 % Total time : 0.235000 s
% 0.76/0.81 % SZS output end Proof
% 0.76/0.81 % Total time : 0.241000 s
%------------------------------------------------------------------------------