%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO656+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:28:42 PM UTC 2026
% Result : Theorem 1.22s 0.61s
% Output : CNFRefutation 1.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 155 ( 67 unt; 0 def)
% Number of atoms : 281 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 215 ( 89 ~; 85 |; 17 &)
% ( 0 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 345 ( 0 sgn 216 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02314,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( eqangle(X6,X4,X4,X2,X6,X4,X4,X3)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& midp(X4,X2,X1) )
=> para(X5,X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
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(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(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(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X10,X2,X10)
& cong(X1,X9,X2,X9) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_23,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( eqangle(X6,X4,X4,X2,X6,X4,X4,X3)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& midp(X4,X2,X1) )
=> para(X5,X6,X1,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02314]) ).
fof(c_0_24,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( eqangle(X102,X103,X100,X101,X106,X107,X104,X105)
| ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_25,negated_conjecture,
( ~ para(esk25_0,esk26_0,esk21_0,esk22_0)
& eqangle(esk26_0,esk24_0,esk24_0,esk22_0,esk26_0,esk24_0,esk24_0,esk23_0)
& eqangle(esk25_0,esk24_0,esk24_0,esk21_0,esk25_0,esk24_0,esk24_0,esk23_0)
& midp(esk24_0,esk22_0,esk21_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_26,plain,
! [X392,X393,X394] :
( coll(X392,X393,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_27,plain,
! [X116,X117,X118,X119,X120,X121,X122,X123] :
( eqangle(X116,X117,X120,X121,X118,X119,X122,X123)
| ~ eqangle(X116,X117,X118,X119,X120,X121,X122,X123) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
fof(c_0_28,plain,
! [X248,X249,X250,X251,X252,X253] :
( para(X248,X249,X250,X251)
| ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_29,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,negated_conjecture,
eqangle(esk26_0,esk24_0,esk24_0,esk22_0,esk26_0,esk24_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X63,X64,X65] :
( midp(X65,X63,X64)
| ~ midp(X65,X64,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_32,plain,
! [X22,X23,X24] :
( coll(X23,X22,X24)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_33,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_34,negated_conjecture,
midp(esk24_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( para(X409,X410,X411,X412)
| ~ para(X413,X414,X415,X416)
| ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
cnf(c_0_36,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X1,X2,X5,X6,X3,X4,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_37,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_38,negated_conjecture,
eqangle(esk24_0,esk22_0,esk26_0,esk24_0,esk24_0,esk23_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_39,plain,
! [X389,X390,X391] :
( cong(X389,X390,X389,X391)
| ~ midp(X389,X390,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_40,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_41,plain,
! [X19,X20,X21] :
( coll(X19,X21,X20)
| ~ coll(X19,X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_42,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,negated_conjecture,
coll(esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_44,plain,
! [X29,X30,X31,X32] :
( para(X29,X30,X32,X31)
| ~ para(X29,X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_45,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_46,negated_conjecture,
eqangle(esk26_0,esk24_0,esk26_0,esk24_0,esk24_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_47,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_48,plain,
! [X136,X137,X138,X139] :
( cong(X136,X137,X139,X138)
| ~ cong(X136,X137,X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_49,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
midp(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
fof(c_0_51,plain,
! [X25,X26,X27,X28] :
( coll(X27,X28,X25)
| ~ coll(X25,X26,X28)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_52,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,negated_conjecture,
coll(esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
eqangle(esk25_0,esk24_0,esk24_0,esk21_0,esk25_0,esk24_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_55,plain,
! [X33,X34,X35,X36] :
( para(X35,X36,X33,X34)
| ~ para(X33,X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
cnf(c_0_56,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_57,negated_conjecture,
para(esk26_0,esk24_0,esk26_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47])]) ).
fof(c_0_58,plain,
! [X144,X145,X146,X147,X148,X149] :
( cong(X144,X145,X148,X149)
| ~ cong(X146,X147,X148,X149)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
fof(c_0_59,plain,
! [X140,X141,X142,X143] :
( cong(X142,X143,X140,X141)
| ~ cong(X140,X141,X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_60,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_61,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_62,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_63,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
eqangle(esk24_0,esk21_0,esk25_0,esk24_0,esk24_0,esk23_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_29,c_0_54]) ).
cnf(c_0_65,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,negated_conjecture,
para(esk26_0,esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_67,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
cong(esk24_0,esk21_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( ~ coll(esk22_0,esk21_0,X1)
| coll(X1,esk24_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_71,plain,
! [X383,X384,X385] :
( coll(X383,X384,X385)
| ~ para(X383,X384,X383,X385) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_72,negated_conjecture,
eqangle(esk25_0,esk24_0,esk25_0,esk24_0,esk24_0,esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_73,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_64]) ).
fof(c_0_74,plain,
! [X373,X374,X375,X376,X377] :
( midp(X377,X375,X376)
| ~ para(X373,X376,X374,X375)
| ~ para(X373,X375,X374,X376)
| ~ midp(X377,X373,X374) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_75,negated_conjecture,
para(esk24_0,esk26_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( ~ cong(X1,X2,esk24_0,esk21_0)
| cong(X1,X2,esk24_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_77,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
coll(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_63]) ).
cnf(c_0_79,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_72]),c_0_73])]) ).
cnf(c_0_81,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_82,negated_conjecture,
para(esk24_0,esk26_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_56,c_0_75]) ).
fof(c_0_83,plain,
! [X386,X387,X388] :
( midp(X386,X387,X388)
| ~ coll(X386,X387,X388)
| ~ cong(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_84,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
coll(esk26_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_79,c_0_57]) ).
cnf(c_0_87,negated_conjecture,
para(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_82])]) ).
cnf(c_0_89,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_90,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_60,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
coll(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_93,negated_conjecture,
coll(esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
para(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| cong(X1,esk26_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91])]) ).
cnf(c_0_97,negated_conjecture,
( ~ coll(esk24_0,esk21_0,X1)
| coll(X1,esk22_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( ~ coll(esk24_0,esk24_0,X1)
| coll(X1,esk22_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_99,negated_conjecture,
coll(esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_52,c_0_93]) ).
fof(c_0_100,plain,
! [X368,X369,X370,X371,X372] :
( para(X368,X370,X369,X371)
| ~ midp(X372,X370,X371)
| ~ midp(X372,X368,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
cnf(c_0_101,negated_conjecture,
para(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_56,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_103,negated_conjecture,
cong(esk22_0,esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
coll(esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_105,negated_conjecture,
coll(esk26_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_106,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
fof(c_0_107,plain,
! [X330,X331,X332,X333] :
( perp(X330,X331,X332,X333)
| ~ cong(X330,X333,X331,X333)
| ~ cong(X330,X332,X331,X332) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_108,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_109,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_101]),c_0_101])]) ).
cnf(c_0_110,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
cong(esk22_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
coll(esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
coll(esk22_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
( ~ midp(esk24_0,X1,X2)
| para(X1,esk21_0,X2,esk22_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_50]) ).
cnf(c_0_115,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_116,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_76,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( ~ midp(X1,esk24_0,esk24_0)
| cong(X1,esk25_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
coll(esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_110]) ).
cnf(c_0_119,negated_conjecture,
cong(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_68,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( ~ coll(esk22_0,esk24_0,X1)
| coll(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
coll(esk22_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_52,c_0_113]) ).
cnf(c_0_122,negated_conjecture,
( ~ midp(esk24_0,X1,X2)
| para(X1,esk21_0,esk22_0,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_114]) ).
fof(c_0_123,plain,
! [X51,X52,X53,X54,X55,X56] :
( para(X51,X52,X55,X56)
| ~ perp(X53,X54,X55,X56)
| ~ perp(X51,X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_124,negated_conjecture,
( ~ cong(esk24_0,X1,esk24_0,X1)
| perp(esk24_0,esk24_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
cong(esk22_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_126,negated_conjecture,
cong(esk22_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_117,c_0_96]) ).
cnf(c_0_127,negated_conjecture,
coll(esk25_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_98,c_0_118]) ).
fof(c_0_128,plain,
! [X278,X279,X280,X281,X282] :
( para(X281,X282,X279,X280)
| ~ midp(X282,X278,X280)
| ~ midp(X281,X278,X279) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_129,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_119]) ).
cnf(c_0_130,negated_conjecture,
coll(esk26_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( ~ midp(esk24_0,X2,X1)
| para(esk22_0,X1,X2,esk21_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_122]) ).
cnf(c_0_132,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_133,negated_conjecture,
perp(esk24_0,esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_124,c_0_116]) ).
cnf(c_0_134,negated_conjecture,
coll(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_112]) ).
cnf(c_0_135,negated_conjecture,
( ~ cong(esk22_0,X1,esk21_0,X1)
| perp(esk22_0,esk21_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_125]) ).
cnf(c_0_136,negated_conjecture,
cong(esk22_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_126]) ).
cnf(c_0_137,negated_conjecture,
coll(esk22_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_127]) ).
cnf(c_0_138,plain,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_139,negated_conjecture,
midp(esk26_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_129]),c_0_130])]) ).
cnf(c_0_140,negated_conjecture,
( ~ para(esk22_0,esk21_0,X3,X2)
| ~ midp(esk24_0,X3,X2)
| ~ midp(X1,esk22_0,X3)
| midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_131]) ).
cnf(c_0_141,negated_conjecture,
( ~ perp(X1,X2,esk24_0,esk24_0)
| para(X1,X2,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_142,negated_conjecture,
midp(esk24_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_116]),c_0_134])]) ).
cnf(c_0_143,negated_conjecture,
perp(esk22_0,esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_135,c_0_125]) ).
cnf(c_0_144,negated_conjecture,
cong(esk25_0,esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_68,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
coll(esk22_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_52,c_0_137]) ).
cnf(c_0_146,negated_conjecture,
~ para(esk25_0,esk26_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_147,negated_conjecture,
( ~ midp(X1,esk22_0,X2)
| para(X1,esk26_0,X2,esk22_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk21_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_141]),c_0_142]),c_0_143])]) ).
cnf(c_0_149,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
coll(esk25_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_120,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
~ midp(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk22_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_148]) ).
cnf(c_0_153,negated_conjecture,
midp(esk25_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_149]),c_0_150])]) ).
cnf(c_0_154,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_153])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO656+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 18:15:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.22/0.61 % Version: 3.5.1
% 1.22/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.22/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.22/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.22/0.61 % Starting new_bool_3 with 300s (1) cores
% 1.22/0.61 % Starting new_bool_1 with 300s (1) cores
% 1.22/0.61 % Starting sh5l with 300s (1) cores
% 1.22/0.61 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3150472 completed with status 0
% 1.22/0.61 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.22/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.22/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.22/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.22/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.22/0.61 % No SInE strategy applied
% 1.22/0.61 % Search class: FGUSF-FFLS33-SFFFFFNN
% 1.22/0.61 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.22/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.22/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.22/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.22/0.61 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.22/0.61 % Starting new_bool_3 with 136s (1) cores
% 1.22/0.61 % Starting new_bool_1 with 136s (1) cores
% 1.22/0.61 % SubtermCWHack with pid 3150478 completed with status 0
% 1.22/0.61 % Result found by SubtermCWHack
% 1.22/0.61 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.22/0.61 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.22/0.61 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.22/0.61 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.22/0.61 % No SInE strategy applied
% 1.22/0.61 % Search class: FGUSF-FFLS33-SFFFFFNN
% 1.22/0.61 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 1.22/0.61 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.22/0.61 % Starting SubtermCWHack with 136s (1) cores
% 1.22/0.61 % Preprocessing time : 0.003 s
% 1.22/0.61
% 1.22/0.61 % Proof found!
% 1.22/0.61 % SZS status Theorem
% 1.22/0.61 % SZS output start CNFRefutation
% See solution above
% 1.22/0.61 % Parsed axioms : 95
% 1.22/0.61 % Removed by relevancy pruning/SinE : 0
% 1.22/0.61 % Initial clauses : 117
% 1.22/0.61 % Removed in clause preprocessing : 0
% 1.22/0.61 % Initial clauses in saturation : 117
% 1.22/0.61 % Processed clauses : 1788
% 1.22/0.61 % ...of these trivial : 81
% 1.22/0.61 % ...subsumed : 344
% 1.22/0.61 % ...remaining for further processing : 1363
% 1.22/0.61 % Other redundant clauses eliminated : 0
% 1.22/0.61 % Clauses deleted for lack of memory : 0
% 1.22/0.61 % Backward-subsumed : 27
% 1.22/0.61 % Backward-rewritten : 18
% 1.22/0.61 % Generated clauses : 8538
% 1.22/0.61 % ...of the previous two non-redundant : 5980
% 1.22/0.61 % ...aggressively subsumed : 0
% 1.22/0.61 % Contextual simplify-reflections : 2
% 1.22/0.61 % Paramodulations : 8538
% 1.22/0.61 % Factorizations : 0
% 1.22/0.61 % NegExts : 0
% 1.22/0.61 % Equation resolutions : 0
% 1.22/0.61 % Disequality decompositions : 0
% 1.22/0.61 % Total rewrite steps : 2983
% 1.22/0.61 % ...of those cached : 2581
% 1.22/0.61 % Propositional unsat checks : 0
% 1.22/0.61 % Propositional check models : 0
% 1.22/0.61 % Propositional check unsatisfiable : 0
% 1.22/0.61 % Propositional clauses : 0
% 1.22/0.61 % Propositional clauses after purity: 0
% 1.22/0.61 % Propositional unsat core size : 0
% 1.22/0.61 % Propositional preprocessing time : 0.000
% 1.22/0.61 % Propositional encoding time : 0.000
% 1.22/0.61 % Propositional solver time : 0.000
% 1.22/0.61 % Success case prop preproc time : 0.000
% 1.22/0.61 % Success case prop encoding time : 0.000
% 1.22/0.61 % Success case prop solver time : 0.000
% 1.22/0.61 % Current number of processed clauses : 1318
% 1.22/0.61 % Positive orientable unit clauses : 415
% 1.22/0.61 % Positive unorientable unit clauses: 0
% 1.22/0.61 % Negative unit clauses : 4
% 1.22/0.61 % Non-unit-clauses : 899
% 1.22/0.61 % Current number of unprocessed clauses: 4309
% 1.22/0.61 % ...number of literals in the above : 14226
% 1.22/0.61 % Current number of archived formulas : 0
% 1.22/0.61 % Current number of archived clauses : 45
% 1.22/0.61 % Clause-clause subsumption calls (NU) : 103380
% 1.22/0.61 % Rec. Clause-clause subsumption calls : 86729
% 1.22/0.61 % Non-unit clause-clause subsumptions : 373
% 1.22/0.61 % Unit Clause-clause subsumption calls : 48378
% 1.22/0.61 % Rewrite failures with RHS unbound : 0
% 1.22/0.61 % BW rewrite match attempts : 1081
% 1.22/0.61 % BW rewrite match successes : 6
% 1.22/0.61 % Condensation attempts : 0
% 1.22/0.61 % Condensation successes : 0
% 1.22/0.61 % Termbank termtop insertions : 109574
% 1.22/0.61 % Search garbage collected termcells : 2773
% 1.22/0.61
% 1.22/0.61 % -------------------------------------------------
% 1.22/0.61 % User time : 0.163 s
% 1.22/0.61 % System time : 0.009 s
% 1.22/0.61 % Total time : 0.172 s
% 1.22/0.61 % Maximum resident set size: 4252 pages
% 1.22/0.61
% 1.22/0.61 % -------------------------------------------------
% 1.22/0.61 % User time : 0.680 s
% 1.22/0.61 % System time : 0.059 s
% 1.22/0.61 % Total time : 0.740 s
% 1.22/0.61 % Maximum resident set size: 4864 pages
% 1.22/0.61 % E exiting
%------------------------------------------------------------------------------