%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO541+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 : n006.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 12:28:25 PM UTC 2026
% Result : Theorem 1.86s 0.77s
% Output : CNFRefutation 1.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 20
% Syntax : Number of formulae : 125 ( 53 unt; 0 def)
% Number of atoms : 242 ( 0 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 190 ( 73 ~; 70 |; 26 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 251 ( 0 sgn 162 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012001,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X13,X4,X5)
& midp(X6,X3,X2)
& coll(X5,X1,X3)
& perp(X5,X2,X1,X3)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2) )
=> perp(X6,X13,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012001) ).
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(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X3)
& cong(X8,X1,X8,X2) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( coll(X8,X1,X3)
& circle(X8,X1,X2,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( midp(X7,X1,X3)
& perp(X1,X2,X2,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
fof(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
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(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X13,X4,X5)
& midp(X6,X3,X2)
& coll(X5,X1,X3)
& perp(X5,X2,X1,X3)
& coll(X4,X1,X2)
& perp(X4,X3,X1,X2) )
=> perp(X6,X13,X4,X5) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012001]) ).
fof(c_0_21,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])])]) ).
fof(c_0_22,negated_conjecture,
( ~ perp(esk26_0,esk27_0,esk24_0,esk25_0)
& midp(esk27_0,esk24_0,esk25_0)
& midp(esk26_0,esk23_0,esk22_0)
& coll(esk25_0,esk21_0,esk23_0)
& perp(esk25_0,esk22_0,esk21_0,esk23_0)
& coll(esk24_0,esk21_0,esk22_0)
& perp(esk24_0,esk23_0,esk21_0,esk22_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).
fof(c_0_23,plain,
! [X66,X67,X68,X69] :
( circle(X69,X66,X67,X68)
| ~ cong(X69,X66,X69,X68)
| ~ cong(X69,X66,X69,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])])]) ).
cnf(c_0_24,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
midp(esk27_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3)
| circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
cong(esk27_0,esk24_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_28,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_29,negated_conjecture,
midp(esk26_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_30,plain,
! [X318,X319,X320,X321] :
( perp(X318,X319,X319,X320)
| ~ coll(X321,X318,X320)
| ~ circle(X321,X318,X319,X320) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])])]) ).
cnf(c_0_31,negated_conjecture,
( ~ cong(esk27_0,esk24_0,esk27_0,X1)
| circle(esk27_0,esk24_0,X1,esk25_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
cong(esk26_0,esk23_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_24,c_0_29]) ).
fof(c_0_34,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_35,plain,
! [X47,X48,X49,X50] :
( perp(X49,X50,X47,X48)
| ~ perp(X47,X48,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
cnf(c_0_36,plain,
( ~ coll(X1,X2,X4)
| ~ circle(X1,X2,X3,X4)
| perp(X2,X3,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
circle(esk27_0,esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_38,negated_conjecture,
coll(esk27_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( ~ cong(esk26_0,esk23_0,esk26_0,X1)
| circle(esk26_0,esk23_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_26,c_0_33]) ).
fof(c_0_40,plain,
! [X314,X315,X316,X317] :
( cong(X314,X317,X315,X317)
| ~ midp(X317,X314,X316)
| ~ perp(X314,X315,X315,X316) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])])]) ).
cnf(c_0_41,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_42,plain,
! [X43,X44,X45,X46] :
( perp(X43,X44,X46,X45)
| ~ perp(X43,X44,X45,X46) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])])]) ).
cnf(c_0_43,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,negated_conjecture,
perp(esk24_0,esk25_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]) ).
cnf(c_0_45,negated_conjecture,
circle(esk26_0,esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_33]) ).
cnf(c_0_46,negated_conjecture,
coll(esk26_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_29]) ).
cnf(c_0_47,plain,
( ~ midp(X4,X1,X3)
| ~ perp(X1,X2,X2,X3)
| cong(X1,X4,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,negated_conjecture,
midp(esk27_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_25]) ).
cnf(c_0_49,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,negated_conjecture,
perp(esk25_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
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,negated_conjecture,
perp(esk23_0,esk22_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_45]),c_0_46])]) ).
fof(c_0_53,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_54,negated_conjecture,
( ~ perp(esk25_0,X1,X1,esk24_0)
| cong(esk25_0,esk27_0,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
perp(esk25_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
perp(esk25_0,esk22_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_58,negated_conjecture,
midp(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_59,negated_conjecture,
perp(esk22_0,esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_43,c_0_52]) ).
fof(c_0_60,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_61,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_62,negated_conjecture,
cong(esk25_0,esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_63,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_64,negated_conjecture,
( ~ coll(esk27_0,esk24_0,X1)
| coll(X1,esk25_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_38]) ).
fof(c_0_65,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_66,negated_conjecture,
perp(esk21_0,esk23_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( ~ perp(esk22_0,X1,X1,esk23_0)
| cong(esk22_0,esk26_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_58]) ).
cnf(c_0_68,negated_conjecture,
perp(esk22_0,esk22_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_59]) ).
cnf(c_0_69,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,negated_conjecture,
cong(esk25_0,esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_71,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_72,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
coll(esk25_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_64,c_0_38]) ).
cnf(c_0_74,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_75,negated_conjecture,
perp(esk21_0,esk23_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_49,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
cong(esk22_0,esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( ~ coll(esk26_0,esk23_0,X1)
| coll(X1,esk22_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_46]) ).
fof(c_0_78,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])])]) ).
fof(c_0_79,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_80,negated_conjecture,
cong(esk27_0,esk25_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_81,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_82,negated_conjecture,
coll(esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
fof(c_0_83,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_84,negated_conjecture,
( ~ perp(X1,X2,esk21_0,esk23_0)
| para(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_66]) ).
cnf(c_0_85,negated_conjecture,
perp(esk22_0,esk25_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_43,c_0_75]) ).
cnf(c_0_86,negated_conjecture,
cong(esk22_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_87,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_77,c_0_46]) ).
cnf(c_0_88,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
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_79]) ).
cnf(c_0_90,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_61,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
coll(esk27_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
fof(c_0_92,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_93,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,negated_conjecture,
para(esk22_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
cong(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_69,c_0_86]) ).
cnf(c_0_96,negated_conjecture,
coll(esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_72,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
( ~ midp(esk27_0,X1,X2)
| para(X1,esk24_0,X2,esk25_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_25]) ).
cnf(c_0_98,negated_conjecture,
midp(esk27_0,esk25_0,esk25_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_99,negated_conjecture,
( ~ midp(esk27_0,X1,X2)
| para(X1,esk25_0,X2,esk24_0) ),
inference(spm,[status(thm)],[c_0_88,c_0_48]) ).
cnf(c_0_100,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_92]) ).
cnf(c_0_101,negated_conjecture,
para(esk22_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_95]) ).
cnf(c_0_103,negated_conjecture,
coll(esk26_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_81,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
para(esk25_0,esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_105,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_99,c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_101])]) ).
cnf(c_0_107,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_102]),c_0_103])]) ).
cnf(c_0_108,negated_conjecture,
( ~ midp(X1,esk25_0,esk25_0)
| midp(X1,esk25_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_104]),c_0_105])]) ).
cnf(c_0_109,negated_conjecture,
midp(esk26_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_24,c_0_48]) ).
cnf(c_0_111,negated_conjecture,
midp(esk26_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
cong(esk27_0,esk25_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_61,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
cong(esk26_0,esk25_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_24,c_0_111]) ).
fof(c_0_114,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_115,negated_conjecture,
cong(esk24_0,esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_69,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
cong(esk26_0,esk25_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_61,c_0_113]) ).
cnf(c_0_117,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_114]) ).
cnf(c_0_118,negated_conjecture,
cong(esk24_0,esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_61,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
cong(esk24_0,esk26_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_69,c_0_116]) ).
cnf(c_0_120,negated_conjecture,
( ~ cong(esk24_0,X1,esk25_0,X1)
| perp(esk24_0,esk25_0,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
cong(esk24_0,esk26_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_61,c_0_119]) ).
cnf(c_0_122,negated_conjecture,
perp(esk24_0,esk25_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_123,negated_conjecture,
~ perp(esk26_0,esk27_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_124,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_122]),c_0_123]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO541+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n006.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 17:19:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 1.86/0.77 % Version: 3.5.1
% 1.86/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.77 % Starting new_bool_3 with 300s (1) cores
% 1.86/0.77 % Starting new_bool_1 with 300s (1) cores
% 1.86/0.77 % Starting sh5l with 300s (1) cores
% 1.86/0.77 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 946591 completed with status 0
% 1.86/0.77 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.86/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.77 % No SInE strategy applied
% 1.86/0.77 % Search class: FGUSF-FFLM33-SFFFFFNN
% 1.86/0.77 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.86/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.77 % Starting SubtermCWHack with 136s (1) cores
% 1.86/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.86/0.77 % Starting new_bool_3 with 136s (1) cores
% 1.86/0.77 % Starting new_bool_1 with 136s (1) cores
% 1.86/0.77 % new_bool_1 with pid 946602 completed with status 0
% 1.86/0.77 % Result found by new_bool_1
% 1.86/0.77 % Preprocessing class: FSLSSMSSSSSNFFN.
% 1.86/0.77 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.86/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.86/0.77 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 1.86/0.77 % No SInE strategy applied
% 1.86/0.77 % Search class: FGUSF-FFLM33-SFFFFFNN
% 1.86/0.77 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 1.86/0.77 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 1.86/0.77 % Starting SubtermCWHack with 136s (1) cores
% 1.86/0.77 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.86/0.77 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 1.86/0.77 % Starting new_bool_3 with 136s (1) cores
% 1.86/0.77 % Starting new_bool_1 with 136s (1) cores
% 1.86/0.77 % Preprocessing time : 0.003 s
% 1.86/0.77 % Presaturation interreduction done
% 1.86/0.77
% 1.86/0.77 % Proof found!
% 1.86/0.77 % SZS status Theorem
% 1.86/0.77 % SZS output start CNFRefutation
% See solution above
% 1.86/0.77 % Parsed axioms : 95
% 1.86/0.77 % Removed by relevancy pruning/SinE : 0
% 1.86/0.77 % Initial clauses : 120
% 1.86/0.77 % Removed in clause preprocessing : 0
% 1.86/0.77 % Initial clauses in saturation : 120
% 1.86/0.77 % Processed clauses : 1730
% 1.86/0.77 % ...of these trivial : 110
% 1.86/0.77 % ...subsumed : 5
% 1.86/0.77 % ...remaining for further processing : 1615
% 1.86/0.77 % Other redundant clauses eliminated : 0
% 1.86/0.77 % Clauses deleted for lack of memory : 0
% 1.86/0.77 % Backward-subsumed : 0
% 1.86/0.77 % Backward-rewritten : 0
% 1.86/0.77 % Generated clauses : 8287
% 1.86/0.77 % ...of the previous two non-redundant : 4797
% 1.86/0.77 % ...aggressively subsumed : 0
% 1.86/0.77 % Contextual simplify-reflections : 0
% 1.86/0.77 % Paramodulations : 8287
% 1.86/0.77 % Factorizations : 0
% 1.86/0.77 % NegExts : 0
% 1.86/0.77 % Equation resolutions : 0
% 1.86/0.77 % Disequality decompositions : 0
% 1.86/0.77 % Total rewrite steps : 3856
% 1.86/0.77 % ...of those cached : 3150
% 1.86/0.77 % Propositional unsat checks : 0
% 1.86/0.77 % Propositional check models : 0
% 1.86/0.77 % Propositional check unsatisfiable : 0
% 1.86/0.77 % Propositional clauses : 0
% 1.86/0.77 % Propositional clauses after purity: 0
% 1.86/0.77 % Propositional unsat core size : 0
% 1.86/0.77 % Propositional preprocessing time : 0.000
% 1.86/0.77 % Propositional encoding time : 0.000
% 1.86/0.77 % Propositional solver time : 0.000
% 1.86/0.77 % Success case prop preproc time : 0.000
% 1.86/0.77 % Success case prop encoding time : 0.000
% 1.86/0.77 % Success case prop solver time : 0.000
% 1.86/0.77 % Current number of processed clauses : 1496
% 1.86/0.77 % Positive orientable unit clauses : 779
% 1.86/0.77 % Positive unorientable unit clauses: 0
% 1.86/0.77 % Negative unit clauses : 1
% 1.86/0.77 % Non-unit-clauses : 716
% 1.86/0.77 % Current number of unprocessed clauses: 3305
% 1.86/0.77 % ...number of literals in the above : 7249
% 1.86/0.77 % Current number of archived formulas : 0
% 1.86/0.77 % Current number of archived clauses : 119
% 1.86/0.77 % Clause-clause subsumption calls (NU) : 43195
% 1.86/0.77 % Rec. Clause-clause subsumption calls : 38881
% 1.86/0.77 % Non-unit clause-clause subsumptions : 5
% 1.86/0.77 % Unit Clause-clause subsumption calls : 49210
% 1.86/0.77 % Rewrite failures with RHS unbound : 0
% 1.86/0.77 % BW rewrite match attempts : 1961
% 1.86/0.77 % BW rewrite match successes : 0
% 1.86/0.77 % Condensation attempts : 0
% 1.86/0.77 % Condensation successes : 0
% 1.86/0.77 % Termbank termtop insertions : 107674
% 1.86/0.77 % Search garbage collected termcells : 2810
% 1.86/0.77
% 1.86/0.77 % -------------------------------------------------
% 1.86/0.77 % User time : 0.167 s
% 1.86/0.77 % System time : 0.015 s
% 1.86/0.77 % Total time : 0.183 s
% 1.86/0.77 % Maximum resident set size: 4304 pages
% 1.86/0.77
% 1.86/0.77 % -------------------------------------------------
% 1.86/0.77 % User time : 1.180 s
% 1.86/0.77 % System time : 0.075 s
% 1.86/0.77 % Total time : 1.255 s
% 1.86/0.77 % Maximum resident set size: 5120 pages
% 1.86/0.77 % E exiting
%------------------------------------------------------------------------------