%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO565+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 : n008.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 12:28:28 PM UTC 2026
% Result : Theorem 32.13s 10.11s
% Output : CNFRefutation 32.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 20
% Syntax : Number of formulae : 105 ( 30 unt; 0 def)
% Number of atoms : 303 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 285 ( 87 ~; 84 |; 93 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 20 con; 0-6 aty)
% Number of variables : 390 ( 22 sgn 214 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL214027,conjecture,
! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X14,X1,X33,X21)
& midp(X33,X14,X1)
& perp(X3,X1,X32,X21)
& midp(X32,X3,X1)
& perp(X3,X14,X31,X21)
& midp(X31,X3,X14)
& perp(X14,X3,X30,X20)
& midp(X30,X14,X3)
& perp(X2,X3,X29,X20)
& midp(X29,X2,X3)
& perp(X2,X14,X28,X20)
& midp(X28,X2,X14)
& perp(X14,X2,X27,X19)
& midp(X27,X14,X2)
& perp(X1,X2,X26,X19)
& midp(X26,X1,X2)
& perp(X1,X14,X25,X19)
& midp(X25,X1,X14)
& perp(X2,X3,X24,X8)
& midp(X24,X2,X3)
& perp(X1,X3,X23,X8)
& midp(X23,X1,X3)
& perp(X1,X2,X22,X8)
& midp(X22,X1,X2)
& perp(X2,X3,X1,X14)
& perp(X1,X3,X2,X14)
& perp(X1,X2,X3,X14) )
=> cong(X14,X20,X14,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214027) ).
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(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(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(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(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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(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(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(c_0_20,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X14,X1,X33,X21)
& midp(X33,X14,X1)
& perp(X3,X1,X32,X21)
& midp(X32,X3,X1)
& perp(X3,X14,X31,X21)
& midp(X31,X3,X14)
& perp(X14,X3,X30,X20)
& midp(X30,X14,X3)
& perp(X2,X3,X29,X20)
& midp(X29,X2,X3)
& perp(X2,X14,X28,X20)
& midp(X28,X2,X14)
& perp(X14,X2,X27,X19)
& midp(X27,X14,X2)
& perp(X1,X2,X26,X19)
& midp(X26,X1,X2)
& perp(X1,X14,X25,X19)
& midp(X25,X1,X14)
& perp(X2,X3,X24,X8)
& midp(X24,X2,X3)
& perp(X1,X3,X23,X8)
& midp(X23,X1,X3)
& perp(X1,X2,X22,X8)
& midp(X22,X1,X2)
& perp(X2,X3,X1,X14)
& perp(X1,X3,X2,X14)
& perp(X1,X2,X3,X14) )
=> cong(X14,X20,X14,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL214027]) ).
fof(c_0_21,plain,
! [X115,X116,X117,X118,X119,X120,X121,X122] :
( eqangle(X117,X118,X115,X116,X121,X122,X119,X120)
| ~ eqangle(X115,X116,X117,X118,X119,X120,X121,X122) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_22,plain,
! [X269,X270,X271,X272,X273,X274] :
( eqangle(X269,X270,X273,X274,X271,X272,X273,X274)
| ~ para(X269,X270,X271,X272) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
fof(c_0_23,plain,
! [X383,X384,X385,X386,X387] :
( para(X383,X385,X384,X386)
| ~ midp(X387,X385,X386)
| ~ midp(X387,X383,X384) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_24,negated_conjecture,
( ~ cong(esk24_0,esk27_0,esk24_0,esk28_0)
& perp(esk24_0,esk21_0,esk40_0,esk28_0)
& midp(esk40_0,esk24_0,esk21_0)
& perp(esk23_0,esk21_0,esk39_0,esk28_0)
& midp(esk39_0,esk23_0,esk21_0)
& perp(esk23_0,esk24_0,esk38_0,esk28_0)
& midp(esk38_0,esk23_0,esk24_0)
& perp(esk24_0,esk23_0,esk37_0,esk27_0)
& midp(esk37_0,esk24_0,esk23_0)
& perp(esk22_0,esk23_0,esk36_0,esk27_0)
& midp(esk36_0,esk22_0,esk23_0)
& perp(esk22_0,esk24_0,esk35_0,esk27_0)
& midp(esk35_0,esk22_0,esk24_0)
& perp(esk24_0,esk22_0,esk34_0,esk26_0)
& midp(esk34_0,esk24_0,esk22_0)
& perp(esk21_0,esk22_0,esk33_0,esk26_0)
& midp(esk33_0,esk21_0,esk22_0)
& perp(esk21_0,esk24_0,esk32_0,esk26_0)
& midp(esk32_0,esk21_0,esk24_0)
& perp(esk22_0,esk23_0,esk31_0,esk25_0)
& midp(esk31_0,esk22_0,esk23_0)
& perp(esk21_0,esk23_0,esk30_0,esk25_0)
& midp(esk30_0,esk21_0,esk23_0)
& perp(esk21_0,esk22_0,esk29_0,esk25_0)
& midp(esk29_0,esk21_0,esk22_0)
& perp(esk22_0,esk23_0,esk21_0,esk24_0)
& perp(esk21_0,esk23_0,esk22_0,esk24_0)
& perp(esk21_0,esk22_0,esk23_0,esk24_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_25,plain,
! [X263,X264,X265,X266,X267,X268] :
( para(X263,X264,X265,X266)
| ~ eqangle(X263,X264,X267,X268,X265,X266,X267,X268) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_26,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_21]) ).
cnf(c_0_27,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
fof(c_0_28,plain,
! [X44,X45,X46,X47] :
( para(X44,X45,X47,X46)
| ~ para(X44,X45,X46,X47) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
cnf(c_0_29,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_30,negated_conjecture,
midp(esk40_0,esk24_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_31,plain,
! [X78,X79,X80] :
( midp(X80,X78,X79)
| ~ midp(X80,X79,X78) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
cnf(c_0_32,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
( ~ midp(esk40_0,X1,X2)
| para(X1,esk24_0,X2,esk21_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_36,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X407,X408,X409] :
( coll(X407,X408,X409)
| ~ midp(X407,X408,X409) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
fof(c_0_38,plain,
! [X398,X399,X400] :
( coll(X398,X399,X400)
| ~ para(X398,X399,X398,X400) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_39,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
( ~ midp(esk40_0,X1,X2)
| para(X1,esk24_0,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_41,negated_conjecture,
midp(esk40_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_36,c_0_30]) ).
fof(c_0_42,plain,
! [X40,X41,X42,X43] :
( coll(X42,X43,X40)
| ~ coll(X40,X41,X43)
| ~ coll(X40,X41,X42) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
cnf(c_0_43,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_44,plain,
! [X37,X38,X39] :
( coll(X38,X37,X39)
| ~ coll(X37,X38,X39) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_45,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
fof(c_0_47,plain,
! [X404,X405,X406] :
( cong(X404,X405,X404,X406)
| ~ midp(X404,X405,X406) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
cnf(c_0_48,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,negated_conjecture,
coll(esk40_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
fof(c_0_50,plain,
! [X34,X35,X36] :
( coll(X34,X36,X35)
| ~ coll(X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_51,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_53,plain,
! [X159,X160,X161,X162,X163,X164] :
( cong(X159,X160,X163,X164)
| ~ cong(X161,X162,X163,X164)
| ~ cong(X159,X160,X161,X162) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_54,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( ~ coll(esk40_0,esk21_0,X1)
| coll(X1,esk24_0,esk40_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
cong(esk40_0,esk21_0,esk40_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_41]) ).
cnf(c_0_60,negated_conjecture,
coll(esk24_0,esk24_0,esk40_0),
inference(spm,[status(thm)],[c_0_55,c_0_49]) ).
fof(c_0_61,plain,
! [X298,X299,X300,X301,X302] :
( midp(X302,X298,X300)
| ~ coll(X302,X298,X300)
| ~ para(X301,X302,X299,X300)
| ~ midp(X301,X298,X299) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_62,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_63,plain,
! [X388,X389,X390,X391,X392] :
( midp(X392,X390,X391)
| ~ para(X388,X391,X389,X390)
| ~ para(X388,X390,X389,X391)
| ~ midp(X392,X388,X389) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
fof(c_0_64,plain,
! [X401,X402,X403] :
( midp(X401,X402,X403)
| ~ coll(X401,X402,X403)
| ~ cong(X401,X402,X401,X403) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_65,negated_conjecture,
( ~ cong(X1,X2,esk40_0,esk21_0)
| cong(X1,X2,esk40_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
cong(esk40_0,esk24_0,esk40_0,esk21_0),
inference(spm,[status(thm)],[c_0_54,c_0_30]) ).
cnf(c_0_67,negated_conjecture,
coll(esk24_0,esk40_0,esk24_0),
inference(spm,[status(thm)],[c_0_56,c_0_60]) ).
cnf(c_0_68,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_61]) ).
cnf(c_0_69,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_62]),c_0_62])]) ).
cnf(c_0_70,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_63]) ).
cnf(c_0_71,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_72,negated_conjecture,
cong(esk40_0,esk24_0,esk40_0,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
coll(esk40_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_67]) ).
cnf(c_0_74,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_75,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_46]),c_0_46])]) ).
cnf(c_0_76,negated_conjecture,
midp(esk40_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73])]) ).
cnf(c_0_77,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_46]) ).
cnf(c_0_78,negated_conjecture,
midp(esk40_0,X1,X1),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_79,plain,
! [X424,X425,X426,X427,X428,X429,X430,X431] :
( para(X424,X425,X426,X427)
| ~ para(X428,X429,X430,X431)
| ~ eqangle(X424,X425,X426,X427,X428,X429,X430,X431) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_80,plain,
! [X303,X304,X305] :
( eqangle(X305,X303,X303,X304,X303,X304,X305,X304)
| ~ cong(X305,X303,X305,X304) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_81,negated_conjecture,
midp(X1,esk40_0,X1),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_82,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_79]) ).
cnf(c_0_83,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_84,negated_conjecture,
midp(X1,X1,esk40_0),
inference(spm,[status(thm)],[c_0_36,c_0_81]) ).
cnf(c_0_85,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_86,negated_conjecture,
cong(X1,X1,X1,esk40_0),
inference(spm,[status(thm)],[c_0_54,c_0_84]) ).
cnf(c_0_87,negated_conjecture,
para(X1,X1,X1,esk40_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_46])]) ).
cnf(c_0_88,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk40_0) ),
inference(spm,[status(thm)],[c_0_74,c_0_87]) ).
fof(c_0_89,plain,
! [X474,X475,X476,X477,X478,X479] :
( ( ~ midp(X479,X476,X477)
| ~ midp(X478,X474,X475)
| para(esk6_6(X474,X475,X476,X477,X478,X479),X479,X474,X476) )
& ( ~ midp(X479,X476,X477)
| ~ midp(X478,X474,X475)
| para(esk6_6(X474,X475,X476,X477,X478,X479),X478,X475,X477) )
& ( ~ midp(X479,X476,X477)
| ~ midp(X478,X474,X475)
| midp(esk6_6(X474,X475,X476,X477,X478,X479),X474,X477) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])])]) ).
cnf(c_0_90,negated_conjecture,
midp(X1,esk40_0,esk40_0),
inference(spm,[status(thm)],[c_0_88,c_0_81]) ).
cnf(c_0_91,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_92,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_75,c_0_90]) ).
cnf(c_0_93,plain,
( ~ coll(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_68,c_0_91]) ).
cnf(c_0_94,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_77,c_0_92]) ).
cnf(c_0_95,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_34,c_0_46]) ).
cnf(c_0_96,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_69])]) ).
cnf(c_0_97,negated_conjecture,
midp(X1,X2,esk40_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_94])]) ).
cnf(c_0_98,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_74,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97])]) ).
cnf(c_0_100,negated_conjecture,
midp(esk40_0,X1,X2),
inference(spm,[status(thm)],[c_0_98,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_102,negated_conjecture,
~ cong(esk24_0,esk27_0,esk24_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_103,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_101])]) ).
cnf(c_0_104,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO565+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/5.37 % Computer : n008.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 17:35:14 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/5.42 Running first-order theorem proving
% 0.14/5.42 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
% 32.13/10.11 % Version: 3.5.1
% 32.13/10.11 % Preprocessing class: FSLSSMSSSSSNFFN.
% 32.13/10.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.13/10.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.13/10.11 % Starting new_bool_3 with 300s (1) cores
% 32.13/10.11 % Starting new_bool_1 with 300s (1) cores
% 32.13/10.11 % Starting sh5l with 300s (1) cores
% 32.13/10.11 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 3298109 completed with status 0
% 32.13/10.11 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 32.13/10.11 % Preprocessing class: FSLSSMSSSSSNFFN.
% 32.13/10.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.13/10.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.13/10.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.13/10.11 % No SInE strategy applied
% 32.13/10.11 % Search class: FGUSF-FFLM33-SFFFFFNN
% 32.13/10.11 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 32.13/10.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.13/10.11 % Starting SubtermCWHack with 136s (1) cores
% 32.13/10.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 32.13/10.11 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 32.13/10.11 % Starting new_bool_3 with 136s (1) cores
% 32.13/10.11 % Starting new_bool_1 with 136s (1) cores
% 32.13/10.11 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 3298118 completed with status 0
% 32.13/10.11 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 32.13/10.11 % Preprocessing class: FSLSSMSSSSSNFFN.
% 32.13/10.11 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 32.13/10.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 32.13/10.11 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 32.13/10.11 % No SInE strategy applied
% 32.13/10.11 % Search class: FGUSF-FFLM33-SFFFFFNN
% 32.13/10.11 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 32.13/10.11 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 32.13/10.11 % Starting SubtermCWHack with 136s (1) cores
% 32.13/10.11 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 32.13/10.11 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 32.13/10.11 % Preprocessing time : 0.003 s
% 32.13/10.11 % Presaturation interreduction done
% 32.13/10.11
% 32.13/10.11 % Proof found!
% 32.13/10.11 % SZS status Theorem
% 32.13/10.11 % SZS output start CNFRefutation
% See solution above
% 32.13/10.11 % Parsed axioms : 95
% 32.13/10.11 % Removed by relevancy pruning/SinE : 0
% 32.13/10.11 % Initial clauses : 141
% 32.13/10.11 % Removed in clause preprocessing : 0
% 32.13/10.11 % Initial clauses in saturation : 141
% 32.13/10.11 % Processed clauses : 14628
% 32.13/10.11 % ...of these trivial : 1257
% 32.13/10.11 % ...subsumed : 2237
% 32.13/10.11 % ...remaining for further processing : 11134
% 32.13/10.11 % Other redundant clauses eliminated : 0
% 32.13/10.11 % Clauses deleted for lack of memory : 0
% 32.13/10.11 % Backward-subsumed : 443
% 32.13/10.11 % Backward-rewritten : 8988
% 32.13/10.11 % Generated clauses : 125027
% 32.13/10.11 % ...of the previous two non-redundant : 82085
% 32.13/10.11 % ...aggressively subsumed : 0
% 32.13/10.11 % Contextual simplify-reflections : 19
% 32.13/10.11 % Paramodulations : 125027
% 32.13/10.11 % Factorizations : 0
% 32.13/10.11 % NegExts : 0
% 32.13/10.11 % Equation resolutions : 0
% 32.13/10.11 % Disequality decompositions : 0
% 32.13/10.11 % Total rewrite steps : 58512
% 32.13/10.11 % ...of those cached : 46188
% 32.13/10.11 % Propositional unsat checks : 2
% 32.13/10.11 % Propositional check models : 0
% 32.13/10.11 % Propositional check unsatisfiable : 0
% 32.13/10.11 % Propositional clauses : 0
% 32.13/10.11 % Propositional clauses after purity: 0
% 32.13/10.11 % Propositional unsat core size : 0
% 32.13/10.11 % Propositional preprocessing time : 0.000
% 32.13/10.11 % Propositional encoding time : 0.119
% 32.13/10.11 % Propositional solver time : 0.179
% 32.13/10.11 % Success case prop preproc time : 0.000
% 32.13/10.11 % Success case prop encoding time : 0.000
% 32.13/10.11 % Success case prop solver time : 0.000
% 32.13/10.11 % Current number of processed clauses : 1563
% 32.13/10.11 % Positive orientable unit clauses : 472
% 32.13/10.11 % Positive unorientable unit clauses: 0
% 32.13/10.11 % Negative unit clauses : 0
% 32.13/10.11 % Non-unit-clauses : 1091
% 32.13/10.11 % Current number of unprocessed clauses: 64742
% 32.13/10.11 % ...number of literals in the above : 221968
% 32.13/10.11 % Current number of archived formulas : 0
% 32.13/10.11 % Current number of archived clauses : 9571
% 32.13/10.11 % Clause-clause subsumption calls (NU) : 3194253
% 32.13/10.11 % Rec. Clause-clause subsumption calls : 2945048
% 32.13/10.11 % Non-unit clause-clause subsumptions : 2284
% 32.13/10.11 % Unit Clause-clause subsumption calls : 3809684
% 32.13/10.11 % Rewrite failures with RHS unbound : 0
% 32.13/10.11 % BW rewrite match attempts : 90211
% 32.13/10.11 % BW rewrite match successes : 6880
% 32.13/10.11 % Condensation attempts : 0
% 32.13/10.11 % Condensation successes : 0
% 32.13/10.11 % Termbank termtop insertions : 1657582
% 32.13/10.11 % Search garbage collected termcells : 3082
% 32.13/10.11
% 32.13/10.11 % -------------------------------------------------
% 32.13/10.11 % User time : 4.457 s
% 32.13/10.11 % System time : 0.129 s
% 32.13/10.11 % Total time : 4.587 s
% 32.13/10.11 % Maximum resident set size: 4320 pages
% 32.13/10.11
% 32.13/10.11 % -------------------------------------------------
% 32.13/10.11 % User time : 22.281 s
% 32.13/10.11 % System time : 0.706 s
% 32.13/10.11 % Total time : 22.987 s
% 32.13/10.11 % Maximum resident set size: 5120 pages
% 32.13/10.11 % E exiting
%------------------------------------------------------------------------------