TSTP Solution File: GEO647+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO647+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 : n009.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 22:49:00 EDT 2023
% Result : Theorem 0.59s 0.69s
% Output : CNFRefutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 54
% Syntax : Number of formulae : 178 ( 69 unt; 38 typ; 0 def)
% Number of atoms : 246 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 181 ( 75 ~; 70 |; 19 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 1 ( 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 : 27 ( 27 usr; 7 con; 0-6 aty)
% Number of variables : 207 ( 0 sgn; 128 !; 0 ?; 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 ).
fof(exemplo6GDDFULLmoreE0156,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X4,X1,X3)
& midp(X5,X2,X1)
& midp(X6,X3,X2)
& para(X1,X6,X13,X4)
& para(X1,X3,X13,X6) )
=> para(X3,X5,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
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(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(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(c_0_16,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X4,X1,X3)
& midp(X5,X2,X1)
& midp(X6,X3,X2)
& para(X1,X6,X13,X4)
& para(X1,X3,X13,X6) )
=> para(X3,X5,X13,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0156]) ).
fof(c_0_17,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])]) ).
fof(c_0_18,negated_conjecture,
( midp(esk24_0,esk21_0,esk23_0)
& midp(esk25_0,esk22_0,esk21_0)
& midp(esk26_0,esk23_0,esk22_0)
& para(esk21_0,esk26_0,esk27_0,esk24_0)
& para(esk21_0,esk23_0,esk27_0,esk26_0)
& ~ para(esk23_0,esk25_0,esk27_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).
fof(c_0_19,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_20,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
para(esk21_0,esk26_0,esk27_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_22,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_23,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,negated_conjecture,
para(esk27_0,esk24_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
fof(c_0_25,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_26,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,negated_conjecture,
midp(esk24_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_28,plain,
! [X37,X38,X39,X40,X41,X42] :
( ~ para(X37,X38,X39,X40)
| ~ para(X39,X40,X41,X42)
| para(X37,X38,X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_29,negated_conjecture,
para(esk27_0,esk24_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
fof(c_0_30,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_31,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
coll(esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
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)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
para(esk26_0,esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_20,c_0_29]) ).
fof(c_0_36,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_37,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
coll(esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( para(X1,X2,esk27_0,esk24_0)
| ~ para(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
coll(esk21_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( coll(esk27_0,X1,esk24_0)
| ~ para(esk27_0,X1,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
coll(esk27_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_29]) ).
cnf(c_0_46,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_42]) ).
cnf(c_0_47,negated_conjecture,
coll(esk24_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_31,c_0_45]) ).
cnf(c_0_48,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_46]) ).
cnf(c_0_49,negated_conjecture,
coll(esk24_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
coll(esk27_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_51,negated_conjecture,
coll(esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_31,c_0_50]) ).
fof(c_0_52,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_53,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_54,negated_conjecture,
coll(esk21_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_51]) ).
cnf(c_0_55,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_56,negated_conjecture,
midp(esk26_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_57,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_53,c_0_38]) ).
cnf(c_0_58,negated_conjecture,
coll(esk27_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_59,plain,
! [X283,X284,X285,X286,X287] :
( ~ midp(X286,X283,X284)
| ~ para(X286,X287,X284,X285)
| ~ coll(X287,X283,X285)
| midp(X287,X283,X285) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_60,negated_conjecture,
para(esk21_0,esk26_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
cnf(c_0_61,negated_conjecture,
midp(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
coll(esk23_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_31,c_0_58]) ).
cnf(c_0_64,negated_conjecture,
para(esk21_0,esk23_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_65,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_59]) ).
cnf(c_0_66,negated_conjecture,
para(esk24_0,esk27_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_20,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
( para(X1,X2,esk21_0,esk26_0)
| ~ para(X1,X2,esk27_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_24]) ).
cnf(c_0_68,negated_conjecture,
coll(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_26,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
coll(esk23_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_63]) ).
cnf(c_0_71,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_72,negated_conjecture,
para(esk27_0,esk26_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_20,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( midp(esk27_0,X1,esk26_0)
| ~ midp(esk24_0,X1,esk21_0)
| ~ coll(esk27_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
midp(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_55,c_0_27]) ).
cnf(c_0_75,negated_conjecture,
para(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_21]) ).
cnf(c_0_76,negated_conjecture,
( coll(X1,esk23_0,esk26_0)
| ~ coll(esk26_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_68]) ).
cnf(c_0_77,negated_conjecture,
coll(esk27_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
coll(esk26_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_26,c_0_56]) ).
cnf(c_0_79,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_55,c_0_71]) ).
cnf(c_0_80,negated_conjecture,
para(esk27_0,esk26_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_23,c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( midp(esk27_0,esk23_0,esk26_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
coll(esk21_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_83,negated_conjecture,
coll(esk23_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_76,c_0_68]) ).
cnf(c_0_84,negated_conjecture,
coll(esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
( coll(X1,esk22_0,esk26_0)
| ~ coll(esk26_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
coll(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_26,c_0_79]) ).
cnf(c_0_87,negated_conjecture,
( midp(esk26_0,X1,esk21_0)
| ~ midp(esk27_0,X1,esk23_0)
| ~ coll(esk26_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( midp(esk27_0,esk26_0,esk23_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_81]) ).
cnf(c_0_89,negated_conjecture,
coll(esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_31,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( coll(X1,esk26_0,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
coll(esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_84]) ).
cnf(c_0_92,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_85,c_0_78]) ).
cnf(c_0_93,negated_conjecture,
( coll(X1,esk22_0,esk25_0)
| ~ coll(esk25_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( midp(esk26_0,esk26_0,esk21_0)
| ~ coll(esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_95,negated_conjecture,
coll(esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_89]) ).
cnf(c_0_96,negated_conjecture,
coll(esk27_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_97,negated_conjecture,
( coll(X1,esk26_0,esk22_0)
| ~ coll(esk22_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_93,c_0_86]) ).
cnf(c_0_99,negated_conjecture,
para(esk26_0,esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_100,negated_conjecture,
( midp(esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_101,negated_conjecture,
coll(esk27_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_37,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_26,c_0_71]) ).
cnf(c_0_103,negated_conjecture,
coll(esk25_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
fof(c_0_104,plain,
! [X389,X390,X391] :
( ~ midp(X389,X390,X391)
| cong(X389,X390,X389,X391) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_105,negated_conjecture,
( midp(esk21_0,X1,esk26_0)
| ~ midp(esk26_0,X1,esk21_0)
| ~ coll(esk21_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_99]) ).
cnf(c_0_106,negated_conjecture,
midp(esk26_0,esk26_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_101])]) ).
cnf(c_0_107,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_102]) ).
cnf(c_0_108,negated_conjecture,
coll(esk25_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_37,c_0_103]) ).
fof(c_0_109,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_110,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_111,negated_conjecture,
midp(esk21_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_82])]) ).
cnf(c_0_112,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_102]) ).
cnf(c_0_113,negated_conjecture,
coll(esk26_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
fof(c_0_114,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_115,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_116,negated_conjecture,
cong(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
coll(esk21_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_31,c_0_113]) ).
fof(c_0_119,plain,
! [X278,X279,X280,X281,X282] :
( ~ midp(X281,X278,X279)
| ~ midp(X282,X278,X280)
| para(X281,X282,X279,X280) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_120,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_121,negated_conjecture,
cong(esk21_0,esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_122,negated_conjecture,
( coll(X1,esk21_0,esk21_0)
| ~ coll(esk21_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_117]) ).
cnf(c_0_123,negated_conjecture,
coll(esk21_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_37,c_0_118]) ).
cnf(c_0_124,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_125,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_126,negated_conjecture,
cong(esk26_0,esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_127,negated_conjecture,
coll(esk26_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_128,negated_conjecture,
~ para(esk23_0,esk25_0,esk27_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_129,negated_conjecture,
( para(X1,esk25_0,X2,esk22_0)
| ~ midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_79]) ).
cnf(c_0_130,negated_conjecture,
para(esk21_0,esk23_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_23,c_0_64]) ).
cnf(c_0_131,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_132,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_115,c_0_126]) ).
cnf(c_0_133,negated_conjecture,
coll(esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_31,c_0_127]) ).
cnf(c_0_134,negated_conjecture,
~ midp(esk23_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_135,negated_conjecture,
( midp(esk23_0,X1,esk27_0)
| ~ midp(esk21_0,X1,esk26_0)
| ~ coll(esk23_0,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
midp(esk26_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_127])]) ).
cnf(c_0_137,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_37,c_0_133]) ).
cnf(c_0_138,negated_conjecture,
~ midp(esk21_0,esk21_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_70])]) ).
cnf(c_0_139,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_136]),c_0_137])]),c_0_138]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO647+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n009.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 23:00:50 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.49/0.61 start to proof: theBenchmark
% 0.59/0.69 % Version : CSE_E---1.5
% 0.59/0.69 % Problem : theBenchmark.p
% 0.59/0.69 % Proof found
% 0.59/0.69 % SZS status Theorem for theBenchmark.p
% 0.59/0.69 % SZS output start Proof
% See solution above
% 0.59/0.70 % Total time : 0.069000 s
% 0.59/0.70 % SZS output end Proof
% 0.59/0.70 % Total time : 0.075000 s
%------------------------------------------------------------------------------