%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:28:40 PM UTC 2026
% Result : Theorem 0.21s 0.91s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 16
% Syntax : Number of formulae : 140 ( 69 unt; 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 predicates : 5 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 207 ( 0 sgn 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0156,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( para(X1,X3,X13,X6)
& para(X1,X6,X13,X4)
& midp(X6,X3,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X3) )
=> para(X3,X5,X13,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
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(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(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X3,X4,X5,X6)
& para(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X6,X1,X3)
& midp(X5,X1,X2) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(c_0_16,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( para(X1,X3,X13,X6)
& para(X1,X6,X13,X4)
& midp(X6,X3,X2)
& midp(X5,X2,X1)
& midp(X4,X1,X3) )
=> para(X3,X5,X13,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0156]) ).
fof(c_0_17,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])])]) ).
fof(c_0_18,negated_conjecture,
( ~ para(esk23_0,esk25_0,esk27_0,esk22_0)
& para(esk21_0,esk23_0,esk27_0,esk26_0)
& para(esk21_0,esk26_0,esk27_0,esk24_0)
& midp(esk26_0,esk23_0,esk22_0)
& midp(esk25_0,esk22_0,esk21_0)
& midp(esk24_0,esk21_0,esk23_0) ),
inference(fof_nnf,[status(thm)],[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,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_20,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
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] :
( coll(X392,X393,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
cnf(c_0_23,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
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(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_26,plain,
( ~ midp(X1,X2,X3)
| coll(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,X41,X42)
| ~ para(X39,X40,X41,X42)
| ~ para(X37,X38,X39,X40) ),
inference(fof_nnf,[status(thm)],[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,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_31,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,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] :
( 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_34,plain,
( ~ para(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| para(X1,X2,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(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_37,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
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,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ para(X1,X2,esk26_0,esk21_0)
| para(X1,X2,esk27_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
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,
( ~ para(esk27_0,X1,esk26_0,esk21_0)
| coll(esk27_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( ~ coll(esk21_0,esk23_0,X1)
| coll(X1,esk24_0,esk21_0) ),
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(esk24_0,esk24_0,X1)
| coll(X1,esk21_0,esk24_0) ),
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,X63,X64)
| ~ midp(X65,X64,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ coll(esk21_0,esk24_0,X1)
| coll(X1,esk23_0,esk21_0) ),
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,X2,X3)
| midp(X1,X3,X2) ),
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(X287,X283,X285)
| ~ coll(X287,X283,X285)
| ~ para(X286,X287,X284,X285)
| ~ midp(X286,X283,X284) ),
inference(fof_nnf,[status(thm)],[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,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(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,esk27_0,esk24_0)
| para(X1,X2,esk21_0,esk26_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(esk23_0,esk21_0,X1)
| coll(X1,esk23_0,esk23_0) ),
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,
( ~ coll(esk27_0,X1,esk26_0)
| ~ midp(esk24_0,X1,esk21_0)
| midp(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(esk26_0,esk22_0,X1)
| coll(X1,esk23_0,esk26_0) ),
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,
( ~ coll(esk27_0,esk23_0,esk26_0)
| midp(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(esk26_0,esk23_0,X1)
| coll(X1,esk22_0,esk26_0) ),
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,
( ~ coll(esk26_0,X1,esk21_0)
| ~ midp(esk27_0,X1,esk23_0)
| midp(esk26_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ coll(esk27_0,esk23_0,esk26_0)
| midp(esk27_0,esk26_0,esk23_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(esk23_0,esk23_0,X1)
| coll(X1,esk26_0,esk23_0) ),
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(esk25_0,esk21_0,X1)
| coll(X1,esk22_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
( ~ coll(esk27_0,esk23_0,esk26_0)
| ~ coll(esk26_0,esk26_0,esk21_0)
| midp(esk26_0,esk26_0,esk21_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(esk22_0,esk22_0,X1)
| coll(X1,esk26_0,esk22_0) ),
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,
( ~ coll(esk27_0,esk23_0,esk26_0)
| midp(esk26_0,esk26_0,esk21_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] :
( 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_105,negated_conjecture,
( ~ coll(esk21_0,X1,esk26_0)
| ~ midp(esk26_0,X1,esk21_0)
| midp(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(esk25_0,esk22_0,X1)
| coll(X1,esk21_0,esk25_0) ),
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,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_110,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,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(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_115,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
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] :
( 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_120,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
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(esk21_0,esk25_0,X1)
| coll(X1,esk21_0,esk21_0) ),
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,
( ~ midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| para(X1,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
fof(c_0_125,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_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,
( ~ midp(X1,esk21_0,X2)
| para(X1,esk25_0,X2,esk22_0) ),
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,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(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,
( ~ coll(esk23_0,X1,esk27_0)
| ~ midp(esk21_0,X1,esk26_0)
| midp(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
% 0.00/0.03 % Problem : GEO647+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.64 % Computer : n002.cluster.edu
% 0.16/0.64 % Model : x86_64 x86_64
% 0.16/0.64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.64 % Memory : 8046.5625MB
% 0.16/0.64 % OS : Linux 6.8.0-71-generic
% 0.16/0.64 % CPULimit : 300
% 0.16/0.64 % WCLimit : 300
% 0.16/0.64 % DateTime : Sun Sep 20 18:14:19 UTC 2026
% 0.16/0.64 % CPUTime :
% 0.16/0.64 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.21/0.71 Running first-order theorem proving
% 0.21/0.71 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.21/0.91 % Version: 3.5.1
% 0.21/0.91 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.91 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.91 % Starting new_bool_3 with 300s (1) cores
% 0.21/0.91 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.91 % Starting sh5l with 300s (1) cores
% 0.21/0.91 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1419710 completed with status 0
% 0.21/0.91 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.21/0.91 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.91 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.91 % No SInE strategy applied
% 0.21/0.91 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.21/0.91 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.21/0.91 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.91 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.91 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.91 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.21/0.91 % Starting new_bool_3 with 136s (1) cores
% 0.21/0.91 % Starting new_bool_1 with 136s (1) cores
% 0.21/0.91 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1419718 completed with status 0
% 0.21/0.91 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.21/0.91 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.91 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.91 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.91 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.21/0.91 % No SInE strategy applied
% 0.21/0.91 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.21/0.91 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.21/0.91 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.91 % Starting SubtermCWHack with 136s (1) cores
% 0.21/0.91 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.21/0.91 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.21/0.91 % Preprocessing time : 0.005 s
% 0.21/0.91 % Presaturation interreduction done
% 0.21/0.91
% 0.21/0.91 % Proof found!
% 0.21/0.91 % SZS status Theorem
% 0.21/0.91 % SZS output start CNFRefutation
% See solution above
% 0.21/0.91 % Parsed axioms : 95
% 0.21/0.91 % Removed by relevancy pruning/SinE : 0
% 0.21/0.91 % Initial clauses : 119
% 0.21/0.91 % Removed in clause preprocessing : 0
% 0.21/0.91 % Initial clauses in saturation : 119
% 0.21/0.91 % Processed clauses : 1063
% 0.21/0.91 % ...of these trivial : 74
% 0.21/0.91 % ...subsumed : 44
% 0.21/0.91 % ...remaining for further processing : 945
% 0.21/0.91 % Other redundant clauses eliminated : 0
% 0.21/0.91 % Clauses deleted for lack of memory : 0
% 0.21/0.91 % Backward-subsumed : 4
% 0.21/0.91 % Backward-rewritten : 35
% 0.21/0.91 % Generated clauses : 3878
% 0.21/0.91 % ...of the previous two non-redundant : 2436
% 0.21/0.91 % ...aggressively subsumed : 0
% 0.21/0.91 % Contextual simplify-reflections : 0
% 0.21/0.91 % Paramodulations : 3878
% 0.21/0.91 % Factorizations : 0
% 0.21/0.91 % NegExts : 0
% 0.21/0.91 % Equation resolutions : 0
% 0.21/0.91 % Disequality decompositions : 0
% 0.21/0.91 % Total rewrite steps : 1585
% 0.21/0.91 % ...of those cached : 1177
% 0.21/0.91 % Propositional unsat checks : 0
% 0.21/0.91 % Propositional check models : 0
% 0.21/0.91 % Propositional check unsatisfiable : 0
% 0.21/0.91 % Propositional clauses : 0
% 0.21/0.91 % Propositional clauses after purity: 0
% 0.21/0.91 % Propositional unsat core size : 0
% 0.21/0.91 % Propositional preprocessing time : 0.000
% 0.21/0.91 % Propositional encoding time : 0.000
% 0.21/0.91 % Propositional solver time : 0.000
% 0.21/0.91 % Success case prop preproc time : 0.000
% 0.21/0.91 % Success case prop encoding time : 0.000
% 0.21/0.91 % Success case prop solver time : 0.000
% 0.21/0.91 % Current number of processed clauses : 788
% 0.21/0.91 % Positive orientable unit clauses : 408
% 0.21/0.91 % Positive unorientable unit clauses: 0
% 0.21/0.91 % Negative unit clauses : 3
% 0.21/0.91 % Non-unit-clauses : 377
% 0.21/0.91 % Current number of unprocessed clauses: 1604
% 0.21/0.91 % ...number of literals in the above : 5321
% 0.21/0.91 % Current number of archived formulas : 0
% 0.21/0.91 % Current number of archived clauses : 157
% 0.21/0.91 % Clause-clause subsumption calls (NU) : 15746
% 0.21/0.91 % Rec. Clause-clause subsumption calls : 13377
% 0.21/0.91 % Non-unit clause-clause subsumptions : 47
% 0.21/0.91 % Unit Clause-clause subsumption calls : 10172
% 0.21/0.91 % Rewrite failures with RHS unbound : 0
% 0.21/0.91 % BW rewrite match attempts : 1170
% 0.21/0.91 % BW rewrite match successes : 13
% 0.21/0.91 % Condensation attempts : 0
% 0.21/0.91 % Condensation successes : 0
% 0.21/0.91 % Termbank termtop insertions : 53885
% 0.21/0.91 % Search garbage collected termcells : 2799
% 0.21/0.91
% 0.21/0.91 % -------------------------------------------------
% 0.21/0.91 % User time : 0.148 s
% 0.21/0.91 % System time : 0.017 s
% 0.21/0.91 % Total time : 0.165 s
% 0.21/0.91 % Maximum resident set size: 4048 pages
% 0.21/0.91
% 0.21/0.91 % -------------------------------------------------
% 0.21/0.91 % User time : 0.719 s
% 0.21/0.91 % System time : 0.054 s
% 0.21/0.91 % Total time : 0.774 s
% 0.21/0.91 % Maximum resident set size: 4864 pages
% 0.21/0.91 % E exiting
%------------------------------------------------------------------------------