%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : GEO545+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 : n001.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 31.86s 5.08s
% Output : CNFRefutation 31.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 25
% Syntax : Number of formulae : 126 ( 34 unt; 0 def)
% Number of atoms : 352 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 333 ( 107 ~; 104 |; 96 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 21 ( 21 usr; 20 con; 0-6 aty)
% Number of variables : 486 ( 28 sgn 266 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012005,conjecture,
! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X14,X3,X33,X21)
& midp(X33,X14,X3)
& perp(X2,X3,X32,X21)
& midp(X32,X2,X3)
& perp(X2,X14,X31,X21)
& midp(X31,X2,X14)
& perp(X14,X3,X30,X20)
& midp(X30,X14,X3)
& perp(X1,X3,X29,X20)
& midp(X29,X1,X3)
& perp(X1,X14,X28,X20)
& midp(X28,X1,X14)
& perp(X2,X14,X27,X19)
& midp(X27,X2,X14)
& perp(X1,X14,X26,X19)
& midp(X26,X1,X14)
& perp(X1,X2,X25,X19)
& midp(X25,X1,X2)
& 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) )
=> perp(X21,X8,X20,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).
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(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(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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
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(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(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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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_25,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X14,X3,X33,X21)
& midp(X33,X14,X3)
& perp(X2,X3,X32,X21)
& midp(X32,X2,X3)
& perp(X2,X14,X31,X21)
& midp(X31,X2,X14)
& perp(X14,X3,X30,X20)
& midp(X30,X14,X3)
& perp(X1,X3,X29,X20)
& midp(X29,X1,X3)
& perp(X1,X14,X28,X20)
& midp(X28,X1,X14)
& perp(X2,X14,X27,X19)
& midp(X27,X2,X14)
& perp(X1,X14,X26,X19)
& midp(X26,X1,X14)
& perp(X1,X2,X25,X19)
& midp(X25,X1,X2)
& 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) )
=> perp(X21,X8,X20,X19) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012005]) ).
fof(c_0_26,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_27,negated_conjecture,
( ~ perp(esk28_0,esk25_0,esk27_0,esk26_0)
& perp(esk24_0,esk23_0,esk40_0,esk28_0)
& midp(esk40_0,esk24_0,esk23_0)
& perp(esk22_0,esk23_0,esk39_0,esk28_0)
& midp(esk39_0,esk22_0,esk23_0)
& perp(esk22_0,esk24_0,esk38_0,esk28_0)
& midp(esk38_0,esk22_0,esk24_0)
& perp(esk24_0,esk23_0,esk37_0,esk27_0)
& midp(esk37_0,esk24_0,esk23_0)
& perp(esk21_0,esk23_0,esk36_0,esk27_0)
& midp(esk36_0,esk21_0,esk23_0)
& perp(esk21_0,esk24_0,esk35_0,esk27_0)
& midp(esk35_0,esk21_0,esk24_0)
& perp(esk22_0,esk24_0,esk34_0,esk26_0)
& midp(esk34_0,esk22_0,esk24_0)
& perp(esk21_0,esk24_0,esk33_0,esk26_0)
& midp(esk33_0,esk21_0,esk24_0)
& perp(esk21_0,esk22_0,esk32_0,esk26_0)
& midp(esk32_0,esk21_0,esk22_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_25])])])]) ).
fof(c_0_28,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_29,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
midp(esk40_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,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_32,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_33,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_34,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])])]) ).
fof(c_0_35,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_36,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_37,negated_conjecture,
coll(esk40_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_38,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_39,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_31]) ).
cnf(c_0_40,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_41,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_42,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_43,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_44,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_45,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_46,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_47,negated_conjecture,
( ~ coll(esk40_0,esk24_0,X1)
| coll(X1,esk23_0,esk40_0) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_48,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_49,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_50,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_51,negated_conjecture,
( ~ midp(esk40_0,X1,X2)
| para(X1,esk24_0,X2,esk23_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
cnf(c_0_52,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
cong(esk40_0,esk24_0,esk40_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_30]) ).
cnf(c_0_54,negated_conjecture,
midp(esk40_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_30]) ).
fof(c_0_55,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_56,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
coll(esk23_0,esk23_0,esk40_0),
inference(spm,[status(thm)],[c_0_47,c_0_37]) ).
fof(c_0_58,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])])]) ).
cnf(c_0_59,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_60,negated_conjecture,
( ~ midp(esk40_0,X1,X2)
| para(X1,esk24_0,esk23_0,X2) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_61,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_62,negated_conjecture,
( ~ cong(X1,X2,esk40_0,esk24_0)
| cong(X1,X2,esk40_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_63,negated_conjecture,
cong(esk40_0,esk23_0,esk40_0,esk24_0),
inference(spm,[status(thm)],[c_0_44,c_0_54]) ).
cnf(c_0_64,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,negated_conjecture,
coll(esk23_0,esk40_0,esk23_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_66,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_58]) ).
cnf(c_0_67,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_54])]) ).
cnf(c_0_68,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
cong(esk40_0,esk23_0,esk40_0,esk23_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
coll(esk40_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
fof(c_0_71,plain,
! [X440,X441,X442,X443,X444,X445,X446,X447] :
( cong(X440,X441,X442,X443)
| ~ cong(X444,X445,X446,X447)
| ~ eqratio(X440,X441,X442,X443,X444,X445,X446,X447) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_72,plain,
! [X410,X411,X412,X413,X414,X415] :
( eqratio(X414,X410,X410,X411,X415,X412,X412,X413)
| ~ midp(X415,X412,X413)
| ~ midp(X414,X410,X411) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_73,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_67])]) ).
cnf(c_0_74,negated_conjecture,
midp(esk40_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
fof(c_0_75,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_76,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_77,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_78,negated_conjecture,
midp(esk40_0,X1,X1),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_79,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_80,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
cong(esk40_0,X1,esk40_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_78]) ).
cnf(c_0_82,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_79,c_0_67]) ).
fof(c_0_83,plain,
! [X155,X156,X157,X158] :
( cong(X157,X158,X155,X156)
| ~ cong(X155,X156,X157,X158) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_84,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_78])]) ).
cnf(c_0_85,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_82]) ).
fof(c_0_86,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_87,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])])]) ).
fof(c_0_88,plain,
! [X151,X152,X153,X154] :
( cong(X151,X152,X154,X153)
| ~ cong(X151,X152,X153,X154) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_89,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_90,negated_conjecture,
cong(esk40_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_84,c_0_78]) ).
fof(c_0_91,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_92,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_56,c_0_85]) ).
cnf(c_0_93,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_86]) ).
cnf(c_0_94,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_95,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,negated_conjecture,
cong(X1,X1,esk40_0,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,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_91]) ).
cnf(c_0_98,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_92]),c_0_92])]) ).
cnf(c_0_99,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
cong(X1,X1,X1,esk40_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_101,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_102,negated_conjecture,
para(X1,X1,X1,esk40_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_67])]) ).
cnf(c_0_103,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_67]) ).
cnf(c_0_104,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk40_0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_105,negated_conjecture,
midp(X1,esk40_0,X1),
inference(spm,[status(thm)],[c_0_103,c_0_78]) ).
fof(c_0_106,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_107,negated_conjecture,
midp(X1,esk40_0,esk40_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_108,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_106]) ).
cnf(c_0_109,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_73,c_0_107]) ).
cnf(c_0_110,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_97,c_0_108]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_103,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_67]) ).
cnf(c_0_113,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_110,c_0_98])]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,esk40_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_111])]) ).
cnf(c_0_115,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
midp(esk40_0,X1,X2),
inference(spm,[status(thm)],[c_0_115,c_0_114]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_119,plain,
! [X345,X346,X347,X348] :
( perp(X345,X346,X347,X348)
| ~ cong(X345,X348,X346,X348)
| ~ cong(X345,X347,X346,X347) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])])]) ).
cnf(c_0_120,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_118])]) ).
cnf(c_0_121,plain,
( ~ cong(X1,X4,X3,X4)
| ~ cong(X1,X2,X3,X2)
| perp(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_95,c_0_120]) ).
cnf(c_0_123,negated_conjecture,
~ perp(esk28_0,esk25_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_124,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_122]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 17:26:27 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 31.86/5.08 % Version: 3.5.1
% 31.86/5.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 31.86/5.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.86/5.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 31.86/5.08 % Starting new_bool_3 with 300s (1) cores
% 31.86/5.08 % Starting new_bool_1 with 300s (1) cores
% 31.86/5.08 % Starting sh5l with 300s (1) cores
% 31.86/5.08 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1061465 completed with status 0
% 31.86/5.08 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 31.86/5.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 31.86/5.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.86/5.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 31.86/5.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 31.86/5.08 % No SInE strategy applied
% 31.86/5.08 % Search class: FGUSF-FFLM33-SFFFFFNN
% 31.86/5.08 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 31.86/5.08 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 31.86/5.08 % Starting SubtermCWHack with 136s (1) cores
% 31.86/5.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 31.86/5.08 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 31.86/5.08 % Starting new_bool_3 with 136s (1) cores
% 31.86/5.08 % Starting new_bool_1 with 136s (1) cores
% 31.86/5.08 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 1061474 completed with status 0
% 31.86/5.08 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 31.86/5.08 % Preprocessing class: FSLSSMSSSSSNFFN.
% 31.86/5.08 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.86/5.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 31.86/5.08 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 31.86/5.08 % No SInE strategy applied
% 31.86/5.08 % Search class: FGUSF-FFLM33-SFFFFFNN
% 31.86/5.08 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 31.86/5.08 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 31.86/5.08 % Starting SubtermCWHack with 136s (1) cores
% 31.86/5.08 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 31.86/5.08 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 31.86/5.08 % Preprocessing time : 0.002 s
% 31.86/5.08 % Presaturation interreduction done
% 31.86/5.08
% 31.86/5.08 % Proof found!
% 31.86/5.08 % SZS status Theorem
% 31.86/5.08 % SZS output start CNFRefutation
% See solution above
% 31.86/5.08 % Parsed axioms : 95
% 31.86/5.08 % Removed by relevancy pruning/SinE : 0
% 31.86/5.08 % Initial clauses : 141
% 31.86/5.08 % Removed in clause preprocessing : 0
% 31.86/5.08 % Initial clauses in saturation : 141
% 31.86/5.08 % Processed clauses : 14727
% 31.86/5.08 % ...of these trivial : 1174
% 31.86/5.08 % ...subsumed : 1270
% 31.86/5.08 % ...remaining for further processing : 12283
% 31.86/5.08 % Other redundant clauses eliminated : 0
% 31.86/5.08 % Clauses deleted for lack of memory : 0
% 31.86/5.08 % Backward-subsumed : 69
% 31.86/5.08 % Backward-rewritten : 12002
% 31.86/5.08 % Generated clauses : 130162
% 31.86/5.08 % ...of the previous two non-redundant : 77597
% 31.86/5.08 % ...aggressively subsumed : 0
% 31.86/5.08 % Contextual simplify-reflections : 8
% 31.86/5.08 % Paramodulations : 130162
% 31.86/5.08 % Factorizations : 0
% 31.86/5.08 % NegExts : 0
% 31.86/5.08 % Equation resolutions : 0
% 31.86/5.08 % Disequality decompositions : 0
% 31.86/5.08 % Total rewrite steps : 70665
% 31.86/5.08 % ...of those cached : 55364
% 31.86/5.08 % Propositional unsat checks : 2
% 31.86/5.08 % Propositional check models : 0
% 31.86/5.08 % Propositional check unsatisfiable : 0
% 31.86/5.08 % Propositional clauses : 0
% 31.86/5.08 % Propositional clauses after purity: 0
% 31.86/5.08 % Propositional unsat core size : 0
% 31.86/5.08 % Propositional preprocessing time : 0.000
% 31.86/5.08 % Propositional encoding time : 0.084
% 31.86/5.08 % Propositional solver time : 0.156
% 31.86/5.08 % Success case prop preproc time : 0.000
% 31.86/5.08 % Success case prop encoding time : 0.000
% 31.86/5.08 % Success case prop solver time : 0.000
% 31.86/5.08 % Current number of processed clauses : 72
% 31.86/5.08 % Positive orientable unit clauses : 10
% 31.86/5.08 % Positive unorientable unit clauses: 0
% 31.86/5.08 % Negative unit clauses : 0
% 31.86/5.08 % Non-unit-clauses : 62
% 31.86/5.08 % Current number of unprocessed clauses: 61043
% 31.86/5.08 % ...number of literals in the above : 196747
% 31.86/5.08 % Current number of archived formulas : 0
% 31.86/5.08 % Current number of archived clauses : 12211
% 31.86/5.08 % Clause-clause subsumption calls (NU) : 3035257
% 31.86/5.08 % Rec. Clause-clause subsumption calls : 2769016
% 31.86/5.08 % Non-unit clause-clause subsumptions : 1327
% 31.86/5.08 % Unit Clause-clause subsumption calls : 3758414
% 31.86/5.08 % Rewrite failures with RHS unbound : 0
% 31.86/5.08 % BW rewrite match attempts : 109595
% 31.86/5.08 % BW rewrite match successes : 9524
% 31.86/5.08 % Condensation attempts : 0
% 31.86/5.08 % Condensation successes : 0
% 31.86/5.08 % Termbank termtop insertions : 1609336
% 31.86/5.08 % Search garbage collected termcells : 3082
% 31.86/5.08
% 31.86/5.08 % -------------------------------------------------
% 31.86/5.08 % User time : 4.253 s
% 31.86/5.08 % System time : 0.120 s
% 31.86/5.08 % Total time : 4.373 s
% 31.86/5.08 % Maximum resident set size: 4320 pages
% 31.86/5.08
% 31.86/5.08 % -------------------------------------------------
% 31.86/5.08 % User time : 21.877 s
% 31.86/5.08 % System time : 0.657 s
% 31.86/5.08 % Total time : 22.534 s
% 31.86/5.08 % Maximum resident set size: 4864 pages
% 31.86/5.08 % E exiting
%------------------------------------------------------------------------------