%------------------------------------------------------------------------------
% File : E-SAT---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 : n020.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 12:30:37 PM UTC 2026
% Result : Theorem 0.79s 0.63s
% Output : CNFRefutation 0.79s
% 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,
! [X152,X153,X154,X155,X156,X157,X158,X159] :
( eqangle(X154,X155,X152,X153,X158,X159,X156,X157)
| ~ eqangle(X152,X153,X154,X155,X156,X157,X158,X159) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_25,negated_conjecture,
( ~ para(esk5_0,esk6_0,esk1_0,esk2_0)
& eqangle(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0)
& eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0)
& midp(esk4_0,esk2_0,esk1_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,
! [X290,X291,X292] :
( coll(X290,X291,X292)
| ~ midp(X290,X291,X292) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_27,plain,
! [X168,X169,X170,X171,X172,X173,X174,X175] :
( eqangle(X168,X169,X172,X173,X170,X171,X174,X175)
| ~ eqangle(X168,X169,X170,X171,X172,X173,X174,X175) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])])]) ).
fof(c_0_28,plain,
! [X51,X52,X53,X54,X55,X56] :
( para(X51,X52,X53,X54)
| ~ eqangle(X51,X52,X55,X56,X53,X54,X55,X56) ),
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(esk6_0,esk4_0,esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_31,plain,
! [X273,X274,X275] :
( midp(X275,X273,X274)
| ~ midp(X275,X274,X273) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_32,plain,
! [X367,X368,X369] :
( coll(X368,X367,X369)
| ~ coll(X367,X368,X369) ),
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(esk4_0,esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_35,plain,
! [X103,X104,X105,X106,X107,X108,X109,X110] :
( para(X103,X104,X105,X106)
| ~ para(X107,X108,X109,X110)
| ~ eqangle(X103,X104,X105,X106,X107,X108,X109,X110) ),
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(esk4_0,esk2_0,esk6_0,esk4_0,esk4_0,esk3_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_39,plain,
! [X287,X288,X289] :
( cong(X287,X288,X287,X289)
| ~ midp(X287,X288,X289) ),
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,
! [X364,X365,X366] :
( coll(X364,X366,X365)
| ~ coll(X364,X365,X366) ),
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(esk4_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
fof(c_0_44,plain,
! [X25,X26,X27,X28] :
( para(X25,X26,X28,X27)
| ~ para(X25,X26,X27,X28) ),
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(esk6_0,esk4_0,esk6_0,esk4_0,esk4_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
cnf(c_0_47,negated_conjecture,
para(esk4_0,esk2_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_48,plain,
! [X466,X467,X468,X469] :
( cong(X466,X467,X469,X468)
| ~ cong(X466,X467,X468,X469) ),
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(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
fof(c_0_51,plain,
! [X370,X371,X372,X373] :
( coll(X372,X373,X370)
| ~ coll(X370,X371,X373)
| ~ coll(X370,X371,X372) ),
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(esk2_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_54,negated_conjecture,
eqangle(esk5_0,esk4_0,esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_55,plain,
! [X29,X30,X31,X32] :
( para(X31,X32,X29,X30)
| ~ para(X29,X30,X31,X32) ),
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(esk6_0,esk4_0,esk6_0,esk4_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,
! [X474,X475,X476,X477,X478,X479] :
( cong(X474,X475,X478,X479)
| ~ cong(X476,X477,X478,X479)
| ~ cong(X474,X475,X476,X477) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
fof(c_0_59,plain,
! [X470,X471,X472,X473] :
( cong(X472,X473,X470,X471)
| ~ cong(X470,X471,X472,X473) ),
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(esk4_0,esk1_0,esk4_0,esk2_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(esk2_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_64,negated_conjecture,
eqangle(esk4_0,esk1_0,esk5_0,esk4_0,esk4_0,esk3_0,esk5_0,esk4_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(esk6_0,esk4_0,esk4_0,esk6_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(esk4_0,esk1_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,negated_conjecture,
( ~ coll(esk2_0,esk1_0,X1)
| coll(X1,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_71,plain,
! [X92,X93,X94] :
( coll(X92,X93,X94)
| ~ para(X92,X93,X92,X94) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_72,negated_conjecture,
eqangle(esk5_0,esk4_0,esk5_0,esk4_0,esk4_0,esk1_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_36,c_0_54]) ).
cnf(c_0_73,negated_conjecture,
para(esk4_0,esk1_0,esk4_0,esk3_0),
inference(spm,[status(thm)],[c_0_37,c_0_64]) ).
fof(c_0_74,plain,
! [X82,X83,X84,X85,X86] :
( midp(X86,X84,X85)
| ~ para(X82,X85,X83,X84)
| ~ para(X82,X84,X83,X85)
| ~ midp(X86,X82,X83) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_75,negated_conjecture,
para(esk4_0,esk6_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( ~ cong(X1,X2,esk4_0,esk1_0)
| cong(X1,X2,esk4_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_61]) ).
cnf(c_0_77,negated_conjecture,
cong(esk2_0,esk4_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
coll(esk4_0,esk4_0,esk2_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(esk5_0,esk4_0,esk5_0,esk4_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(esk4_0,esk6_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_56,c_0_75]) ).
fof(c_0_83,plain,
! [X284,X285,X286] :
( midp(X284,X285,X286)
| ~ coll(X284,X285,X286)
| ~ cong(X284,X285,X284,X286) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_84,negated_conjecture,
cong(esk2_0,esk4_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_85,negated_conjecture,
coll(esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_52,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
coll(esk6_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_79,c_0_57]) ).
cnf(c_0_87,negated_conjecture,
para(esk5_0,esk4_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_56,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( ~ midp(X1,esk4_0,esk4_0)
| midp(X1,esk6_0,esk6_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(esk2_0,esk4_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_60,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
coll(esk2_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
coll(esk4_0,esk1_0,esk2_0),
inference(spm,[status(thm)],[c_0_52,c_0_43]) ).
cnf(c_0_93,negated_conjecture,
coll(esk4_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_94,negated_conjecture,
para(esk4_0,esk5_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_65,c_0_87]) ).
cnf(c_0_95,negated_conjecture,
( ~ midp(X1,esk4_0,esk4_0)
| cong(X1,esk6_0,X1,esk6_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_88]) ).
cnf(c_0_96,negated_conjecture,
midp(esk2_0,esk4_0,esk4_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(esk4_0,esk1_0,X1)
| coll(X1,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_92]) ).
cnf(c_0_98,negated_conjecture,
( ~ coll(esk4_0,esk4_0,X1)
| coll(X1,esk2_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_99,negated_conjecture,
coll(esk4_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_52,c_0_93]) ).
fof(c_0_100,plain,
! [X77,X78,X79,X80,X81] :
( para(X77,X79,X78,X80)
| ~ midp(X81,X79,X80)
| ~ midp(X81,X77,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
cnf(c_0_101,negated_conjecture,
para(esk4_0,esk5_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_56,c_0_94]) ).
cnf(c_0_102,negated_conjecture,
coll(esk5_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_103,negated_conjecture,
cong(esk2_0,esk6_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_104,negated_conjecture,
coll(esk2_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_97,c_0_92]) ).
cnf(c_0_105,negated_conjecture,
coll(esk6_0,esk2_0,esk4_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,
! [X325,X326,X327,X328] :
( perp(X325,X326,X327,X328)
| ~ cong(X325,X328,X326,X328)
| ~ cong(X325,X327,X326,X327) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_108,negated_conjecture,
cong(esk4_0,esk2_0,esk4_0,esk1_0),
inference(spm,[status(thm)],[c_0_49,c_0_34]) ).
cnf(c_0_109,negated_conjecture,
( ~ midp(X1,esk4_0,esk4_0)
| midp(X1,esk5_0,esk5_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(esk4_0,esk5_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_102]) ).
cnf(c_0_111,negated_conjecture,
cong(esk2_0,esk6_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
coll(esk2_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_52,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
coll(esk2_0,esk6_0,esk4_0),
inference(spm,[status(thm)],[c_0_42,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
( ~ midp(esk4_0,X1,X2)
| para(X1,esk1_0,X2,esk2_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(esk4_0,esk2_0,esk4_0,esk2_0),
inference(spm,[status(thm)],[c_0_76,c_0_108]) ).
cnf(c_0_117,negated_conjecture,
( ~ midp(X1,esk4_0,esk4_0)
| cong(X1,esk5_0,X1,esk5_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_109]) ).
cnf(c_0_118,negated_conjecture,
coll(esk4_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_52,c_0_110]) ).
cnf(c_0_119,negated_conjecture,
cong(esk6_0,esk2_0,esk2_0,esk6_0),
inference(spm,[status(thm)],[c_0_68,c_0_111]) ).
cnf(c_0_120,negated_conjecture,
( ~ coll(esk2_0,esk4_0,X1)
| coll(X1,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
coll(esk2_0,esk4_0,esk6_0),
inference(spm,[status(thm)],[c_0_52,c_0_113]) ).
cnf(c_0_122,negated_conjecture,
( ~ midp(esk4_0,X1,X2)
| para(X1,esk1_0,esk2_0,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_114]) ).
fof(c_0_123,plain,
! [X39,X40,X41,X42,X43,X44] :
( para(X39,X40,X43,X44)
| ~ perp(X41,X42,X43,X44)
| ~ perp(X39,X40,X41,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
cnf(c_0_124,negated_conjecture,
( ~ cong(esk4_0,X1,esk4_0,X1)
| perp(esk4_0,esk4_0,X1,esk2_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_125,negated_conjecture,
cong(esk2_0,esk4_0,esk1_0,esk4_0),
inference(spm,[status(thm)],[c_0_60,c_0_77]) ).
cnf(c_0_126,negated_conjecture,
cong(esk2_0,esk5_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_117,c_0_96]) ).
cnf(c_0_127,negated_conjecture,
coll(esk5_0,esk2_0,esk4_0),
inference(spm,[status(thm)],[c_0_98,c_0_118]) ).
fof(c_0_128,plain,
! [X63,X64,X65,X66,X67] :
( para(X66,X67,X64,X65)
| ~ midp(X67,X63,X65)
| ~ midp(X66,X63,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])])]) ).
cnf(c_0_129,negated_conjecture,
cong(esk6_0,esk2_0,esk6_0,esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_119]) ).
cnf(c_0_130,negated_conjecture,
coll(esk6_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_131,negated_conjecture,
( ~ midp(esk4_0,X2,X1)
| para(esk2_0,X1,X2,esk1_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(esk4_0,esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_124,c_0_116]) ).
cnf(c_0_134,negated_conjecture,
coll(esk4_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_42,c_0_112]) ).
cnf(c_0_135,negated_conjecture,
( ~ cong(esk2_0,X1,esk1_0,X1)
| perp(esk2_0,esk1_0,X1,esk4_0) ),
inference(spm,[status(thm)],[c_0_115,c_0_125]) ).
cnf(c_0_136,negated_conjecture,
cong(esk2_0,esk5_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_126]) ).
cnf(c_0_137,negated_conjecture,
coll(esk2_0,esk5_0,esk4_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(esk6_0,esk2_0,esk2_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(esk2_0,esk1_0,X3,X2)
| ~ midp(esk4_0,X3,X2)
| ~ midp(X1,esk2_0,X3)
| midp(X1,esk1_0,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_131]) ).
cnf(c_0_141,negated_conjecture,
( ~ perp(X1,X2,esk4_0,esk4_0)
| para(X1,X2,esk2_0,esk2_0) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_142,negated_conjecture,
midp(esk4_0,esk2_0,esk2_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(esk2_0,esk1_0,esk4_0,esk4_0),
inference(spm,[status(thm)],[c_0_135,c_0_125]) ).
cnf(c_0_144,negated_conjecture,
cong(esk5_0,esk2_0,esk2_0,esk5_0),
inference(spm,[status(thm)],[c_0_68,c_0_136]) ).
cnf(c_0_145,negated_conjecture,
coll(esk2_0,esk4_0,esk5_0),
inference(spm,[status(thm)],[c_0_52,c_0_137]) ).
cnf(c_0_146,negated_conjecture,
~ para(esk5_0,esk6_0,esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_147,negated_conjecture,
( ~ midp(X1,esk2_0,X2)
| para(X1,esk6_0,X2,esk2_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_148,negated_conjecture,
( ~ midp(X1,esk2_0,esk2_0)
| midp(X1,esk1_0,esk2_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(esk5_0,esk2_0,esk5_0,esk2_0),
inference(spm,[status(thm)],[c_0_60,c_0_144]) ).
cnf(c_0_150,negated_conjecture,
coll(esk5_0,esk2_0,esk2_0),
inference(spm,[status(thm)],[c_0_120,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
~ midp(esk5_0,esk2_0,esk1_0),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_152,negated_conjecture,
( ~ midp(X1,esk2_0,esk2_0)
| midp(X1,esk2_0,esk1_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_148]) ).
cnf(c_0_153,negated_conjecture,
midp(esk5_0,esk2_0,esk2_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
% 0.12/0.38 % Computer : n020.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 20 18:16:47 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 0.79/0.63 % Version: 3.5.1
% 0.79/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.79/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.79/0.63 % Starting sh5l with 300s (1) cores
% 0.79/0.63 % sh5l with pid 940756 completed with status 0
% 0.79/0.63 % Result found by sh5l
% 0.79/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.79/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.79/0.63 % Starting sh5l with 300s (1) cores
% 0.79/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.79/0.63 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.79/0.63 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.79/0.63 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.79/0.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.63 % Starting SubtermCWHack with 31s (1) cores
% 0.79/0.63 % SubtermCWHack with pid 940763 completed with status 0
% 0.79/0.63 % Result found by SubtermCWHack
% 0.79/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.79/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.79/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.79/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.79/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.79/0.63 % Starting sh5l with 300s (1) cores
% 0.79/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.79/0.63 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.79/0.63 % Search class: FGUSF-FFLS33-SFFFFFNN
% 0.79/0.63 % partial match(1): FGUSF-FFLS32-SFFFFFNN
% 0.79/0.63 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.79/0.63 % Starting SubtermCWHack with 31s (1) cores
% 0.79/0.63 % Preprocessing time : 0.003 s
% 0.79/0.63
% 0.79/0.63 % Proof found!
% 0.79/0.63 % SZS status Theorem
% 0.79/0.63 % SZS output start CNFRefutation
% See solution above
% 0.79/0.63 % Parsed axioms : 95
% 0.79/0.63 % Removed by relevancy pruning/SinE : 0
% 0.79/0.63 % Initial clauses : 117
% 0.79/0.63 % Removed in clause preprocessing : 0
% 0.79/0.63 % Initial clauses in saturation : 117
% 0.79/0.63 % Processed clauses : 1788
% 0.79/0.63 % ...of these trivial : 81
% 0.79/0.63 % ...subsumed : 344
% 0.79/0.63 % ...remaining for further processing : 1363
% 0.79/0.63 % Other redundant clauses eliminated : 0
% 0.79/0.63 % Clauses deleted for lack of memory : 0
% 0.79/0.63 % Backward-subsumed : 27
% 0.79/0.63 % Backward-rewritten : 18
% 0.79/0.63 % Generated clauses : 8538
% 0.79/0.63 % ...of the previous two non-redundant : 5980
% 0.79/0.63 % ...aggressively subsumed : 0
% 0.79/0.63 % Contextual simplify-reflections : 2
% 0.79/0.63 % Paramodulations : 8538
% 0.79/0.63 % Factorizations : 0
% 0.79/0.63 % NegExts : 0
% 0.79/0.63 % Equation resolutions : 0
% 0.79/0.63 % Disequality decompositions : 0
% 0.79/0.63 % Total rewrite steps : 2983
% 0.79/0.63 % ...of those cached : 2581
% 0.79/0.63 % Propositional unsat checks : 0
% 0.79/0.63 % Propositional check models : 0
% 0.79/0.63 % Propositional check unsatisfiable : 0
% 0.79/0.63 % Propositional clauses : 0
% 0.79/0.63 % Propositional clauses after purity: 0
% 0.79/0.63 % Propositional unsat core size : 0
% 0.79/0.63 % Propositional preprocessing time : 0.000
% 0.79/0.63 % Propositional encoding time : 0.000
% 0.79/0.63 % Propositional solver time : 0.000
% 0.79/0.63 % Success case prop preproc time : 0.000
% 0.79/0.63 % Success case prop encoding time : 0.000
% 0.79/0.63 % Success case prop solver time : 0.000
% 0.79/0.63 % Current number of processed clauses : 1318
% 0.79/0.63 % Positive orientable unit clauses : 415
% 0.79/0.63 % Positive unorientable unit clauses: 0
% 0.79/0.63 % Negative unit clauses : 4
% 0.79/0.63 % Non-unit-clauses : 899
% 0.79/0.63 % Current number of unprocessed clauses: 4309
% 0.79/0.63 % ...number of literals in the above : 14226
% 0.79/0.63 % Current number of archived formulas : 0
% 0.79/0.63 % Current number of archived clauses : 45
% 0.79/0.63 % Clause-clause subsumption calls (NU) : 115487
% 0.79/0.63 % Rec. Clause-clause subsumption calls : 95235
% 0.79/0.63 % Non-unit clause-clause subsumptions : 373
% 0.79/0.63 % Unit Clause-clause subsumption calls : 49585
% 0.79/0.63 % Rewrite failures with RHS unbound : 0
% 0.79/0.63 % BW rewrite match attempts : 1081
% 0.79/0.63 % BW rewrite match successes : 6
% 0.79/0.63 % Condensation attempts : 0
% 0.79/0.63 % Condensation successes : 0
% 0.79/0.63 % Termbank termtop insertions : 109574
% 0.79/0.63 % Search garbage collected termcells : 2766
% 0.79/0.63
% 0.79/0.63 % -------------------------------------------------
% 0.79/0.63 % User time : 0.165 s
% 0.79/0.63 % System time : 0.008 s
% 0.79/0.63 % Total time : 0.173 s
% 0.79/0.63 % Maximum resident set size: 4304 pages
% 0.79/0.63
% 0.79/0.63 % -------------------------------------------------
% 0.79/0.63 % User time : 0.169 s
% 0.79/0.63 % System time : 0.013 s
% 0.79/0.63 % Total time : 0.182 s
% 0.79/0.63 % Maximum resident set size: 4864 pages
% 0.79/0.63 % E exiting
%------------------------------------------------------------------------------