%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO646+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:21:46 PM UTC 2026
% Result : Theorem 2.19s 1.95s
% Output : CNFRefutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 25
% Syntax : Number of formulae : 159 ( 58 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 300 ( 116 ~; 113 |; 45 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-6 aty)
% Number of variables : 483 ( 31 sgn 256 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0133,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24] :
( ( circle(X1,X2,X19,X20)
& perp(X1,X2,X2,X4)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& circle(X1,X2,X5,X22)
& coll(X6,X4,X5)
& circle(X1,X2,X6,X23)
& midp(X13,X5,X6)
& coll(X3,X13,X14)
& circle(X1,X3,X14,X24) )
=> para(X5,X6,X2,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0133) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> 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(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,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(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(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(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(X7,X1,X2)
& midp(X17,X3,X4) )
=> 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(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(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(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_25,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24] :
( ( circle(X1,X2,X19,X20)
& perp(X1,X2,X2,X4)
& circle(X1,X2,X3,X21)
& perp(X1,X3,X3,X4)
& circle(X1,X2,X5,X22)
& coll(X6,X4,X5)
& circle(X1,X2,X6,X23)
& midp(X13,X5,X6)
& coll(X3,X13,X14)
& circle(X1,X3,X14,X24) )
=> para(X5,X6,X2,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0133]) ).
fof(c_0_26,plain,
! [X934,X935,X936] :
( ~ midp(X934,X935,X936)
| coll(X934,X935,X936) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_27,negated_conjecture,
( circle(esk21_0,esk22_0,esk29_0,esk30_0)
& perp(esk21_0,esk22_0,esk22_0,esk24_0)
& circle(esk21_0,esk22_0,esk23_0,esk31_0)
& perp(esk21_0,esk23_0,esk23_0,esk24_0)
& circle(esk21_0,esk22_0,esk25_0,esk32_0)
& coll(esk26_0,esk24_0,esk25_0)
& circle(esk21_0,esk22_0,esk26_0,esk33_0)
& midp(esk27_0,esk25_0,esk26_0)
& coll(esk23_0,esk27_0,esk28_0)
& circle(esk21_0,esk23_0,esk28_0,esk34_0)
& ~ para(esk25_0,esk26_0,esk22_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X564,X565,X566] :
( ~ coll(X564,X565,X566)
| coll(X565,X564,X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_29,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_30,negated_conjecture,
midp(esk27_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X561,X562,X563] :
( ~ coll(X561,X562,X563)
| coll(X561,X563,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_32,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
coll(esk27_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,plain,
! [X931,X932,X933] :
( ~ midp(X931,X932,X933)
| cong(X931,X932,X931,X933) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_35,plain,
! [X567,X568,X569,X570] :
( ~ coll(X567,X568,X569)
| ~ coll(X567,X568,X570)
| coll(X569,X570,X567) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_36,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
coll(esk25_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X678,X679,X680,X681] :
( ~ cong(X678,X679,X680,X681)
| cong(X678,X679,X681,X680) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_39,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_41,negated_conjecture,
coll(esk25_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_42,plain,
! [X686,X687,X688,X689,X690,X691] :
( ~ cong(X686,X687,X688,X689)
| ~ cong(X688,X689,X690,X691)
| cong(X686,X687,X690,X691) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_43,plain,
! [X682,X683,X684,X685] :
( ~ cong(X682,X683,X684,X685)
| cong(X684,X685,X682,X683) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_44,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
( coll(X1,esk27_0,esk25_0)
| ~ coll(esk25_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
cong(esk27_0,esk25_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
coll(esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
fof(c_0_51,plain,
! [X910,X911,X912,X913,X914] :
( ~ midp(X914,X910,X911)
| ~ midp(X914,X912,X913)
| para(X910,X912,X911,X913) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_52,plain,
! [X1001,X1002,X1003,X1004,X1005,X1006] :
( ( midp(esk6_6(X1001,X1002,X1003,X1004,X1005,X1006),X1001,X1004)
| ~ midp(X1005,X1001,X1002)
| ~ midp(X1006,X1003,X1004) )
& ( para(esk6_6(X1001,X1002,X1003,X1004,X1005,X1006),X1005,X1002,X1004)
| ~ midp(X1005,X1001,X1002)
| ~ midp(X1006,X1003,X1004) )
& ( para(esk6_6(X1001,X1002,X1003,X1004,X1005,X1006),X1006,X1001,X1003)
| ~ midp(X1005,X1001,X1002)
| ~ midp(X1006,X1003,X1004) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
fof(c_0_53,plain,
! [X605,X606,X607] :
( ~ midp(X607,X606,X605)
| midp(X607,X605,X606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_54,negated_conjecture,
( cong(X1,X2,esk27_0,esk26_0)
| ~ cong(X1,X2,esk27_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_55,negated_conjecture,
cong(esk26_0,esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_56,negated_conjecture,
( coll(X1,esk26_0,esk27_0)
| ~ coll(esk27_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_57,negated_conjecture,
coll(esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_58,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_60,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_61,plain,
! [X928,X929,X930] :
( ~ cong(X928,X929,X928,X930)
| ~ coll(X928,X929,X930)
| midp(X928,X929,X930) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_62,negated_conjecture,
cong(esk26_0,esk27_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_63,negated_conjecture,
coll(esk27_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_65,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_60,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
midp(esk27_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_60,c_0_30]) ).
cnf(c_0_67,negated_conjecture,
coll(esk23_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_68,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_69,negated_conjecture,
cong(esk26_0,esk27_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
coll(esk26_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_32,c_0_63]) ).
cnf(c_0_71,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
cong(esk27_0,esk26_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
coll(esk27_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
cnf(c_0_74,negated_conjecture,
coll(esk23_0,esk28_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
midp(esk26_0,esk27_0,esk27_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_76,plain,
! [X571,X572,X573,X574] :
( ~ para(X571,X572,X573,X574)
| para(X571,X572,X574,X573) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_77,negated_conjecture,
( para(esk25_0,X1,X1,esk25_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_66]) ).
cnf(c_0_78,negated_conjecture,
cong(esk27_0,esk26_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_72]) ).
cnf(c_0_79,negated_conjecture,
( coll(X1,esk25_0,esk27_0)
| ~ coll(esk27_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
coll(esk28_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_32,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( para(esk27_0,X1,X1,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_71,c_0_75]) ).
fof(c_0_82,plain,
! [X642,X643,X644,X645,X646,X647,X648,X649] :
( ~ eqangle(X642,X643,X644,X645,X646,X647,X648,X649)
| eqangle(X644,X645,X642,X643,X648,X649,X646,X647) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_83,plain,
! [X796,X797,X798,X799,X800,X801] :
( ~ para(X796,X797,X798,X799)
| eqangle(X796,X797,X800,X801,X798,X799,X800,X801) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_84,plain,
! [X915,X916,X917,X918,X919] :
( ~ midp(X919,X915,X916)
| ~ para(X915,X917,X916,X918)
| ~ para(X915,X918,X916,X917)
| midp(X919,X917,X918) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_85,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_86,negated_conjecture,
para(esk25_0,esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_77,c_0_75]) ).
cnf(c_0_87,negated_conjecture,
( cong(X1,X2,esk25_0,esk27_0)
| ~ cong(X1,X2,esk27_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_78]) ).
cnf(c_0_88,negated_conjecture,
coll(esk25_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_79,c_0_73]) ).
cnf(c_0_89,negated_conjecture,
( coll(X1,esk27_0,esk28_0)
| ~ coll(esk28_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_80]) ).
cnf(c_0_90,negated_conjecture,
para(esk27_0,esk26_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_81,c_0_66]) ).
fof(c_0_91,plain,
! [X790,X791,X792,X793,X794,X795] :
( ~ eqangle(X790,X791,X794,X795,X792,X793,X794,X795)
| para(X790,X791,X792,X793) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_92,plain,
( eqangle(X3,X4,X1,X2,X7,X8,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_64,c_0_59]) ).
cnf(c_0_95,plain,
( midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| ~ para(X2,X4,X3,X5)
| ~ para(X2,X5,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_96,negated_conjecture,
para(esk25_0,esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_97,negated_conjecture,
cong(esk27_0,esk25_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_87,c_0_45]) ).
cnf(c_0_98,negated_conjecture,
coll(esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
coll(esk27_0,esk27_0,esk28_0),
inference(spm,[status(thm)],[c_0_89,c_0_80]) ).
cnf(c_0_100,negated_conjecture,
para(esk27_0,esk26_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_85,c_0_90]) ).
cnf(c_0_101,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_102,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,negated_conjecture,
( para(X1,X1,esk27_0,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_75]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,esk27_0,esk27_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_96])]) ).
cnf(c_0_105,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_44,c_0_97]) ).
cnf(c_0_106,negated_conjecture,
coll(esk27_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_98]) ).
cnf(c_0_107,negated_conjecture,
coll(esk27_0,esk28_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_99]) ).
fof(c_0_108,plain,
! [X967,X968,X969,X970,X971,X972,X973,X974] :
( ~ eqratio(X967,X968,X969,X970,X971,X972,X973,X974)
| ~ cong(X971,X972,X973,X974)
| cong(X967,X968,X969,X970) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_109,plain,
! [X937,X938,X939,X940,X941,X942] :
( ~ midp(X941,X937,X938)
| ~ midp(X942,X939,X940)
| eqratio(X941,X937,X937,X938,X942,X939,X939,X940) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_110,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk27_0,esk27_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_100]),c_0_100])]) ).
cnf(c_0_111,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_112,negated_conjecture,
para(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_103,c_0_75]) ).
cnf(c_0_113,negated_conjecture,
( cong(X1,esk27_0,X1,esk27_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_104]) ).
cnf(c_0_114,negated_conjecture,
midp(esk27_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_105]),c_0_106])]) ).
cnf(c_0_115,negated_conjecture,
( coll(X1,esk27_0,esk27_0)
| ~ coll(esk27_0,esk28_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_107]) ).
fof(c_0_116,plain,
! [X925,X926,X927] :
( ~ para(X925,X926,X925,X927)
| coll(X925,X926,X927) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_117,plain,
( cong(X1,X2,X3,X4)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ cong(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_118,plain,
( eqratio(X1,X2,X2,X3,X4,X5,X5,X6)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_119,negated_conjecture,
midp(esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_110,c_0_75]) ).
cnf(c_0_120,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_121,negated_conjecture,
cong(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_122,negated_conjecture,
coll(esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_115,c_0_107]) ).
cnf(c_0_123,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_124,plain,
( cong(X1,X2,X2,X3)
| ~ cong(X4,X5,X5,X6)
| ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_125,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_39,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_120]),c_0_120])]) ).
cnf(c_0_127,negated_conjecture,
midp(esk27_0,esk27_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_121]),c_0_122])]) ).
cnf(c_0_128,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_123,c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( cong(X1,X2,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_119])]) ).
cnf(c_0_130,negated_conjecture,
midp(esk27_0,X1,X1),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_32,c_0_128]) ).
fof(c_0_132,plain,
! [X951,X952,X953,X954,X955,X956,X957,X958] :
( ~ eqangle(X951,X952,X953,X954,X955,X956,X957,X958)
| ~ para(X955,X956,X957,X958)
| para(X951,X952,X953,X954) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_133,plain,
! [X830,X831,X832] :
( ~ cong(X832,X830,X832,X831)
| eqangle(X832,X830,X830,X831,X830,X831,X832,X831) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_134,negated_conjecture,
cong(esk27_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
fof(c_0_135,plain,
! [X825,X826,X827,X828,X829] :
( ~ midp(X828,X825,X826)
| ~ para(X828,X829,X826,X827)
| ~ coll(X829,X825,X827)
| midp(X829,X825,X827) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_136,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_131]) ).
cnf(c_0_137,plain,
( para(X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ para(X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_138,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_133]) ).
cnf(c_0_139,negated_conjecture,
cong(X1,X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_48,c_0_134]) ).
cnf(c_0_140,plain,
( midp(X4,X2,X5)
| ~ midp(X1,X2,X3)
| ~ para(X1,X4,X3,X5)
| ~ coll(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_135]) ).
cnf(c_0_141,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_136]),c_0_136])]) ).
cnf(c_0_142,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
cong(X1,X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_139]) ).
cnf(c_0_144,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_140,c_0_141])]) ).
cnf(c_0_145,negated_conjecture,
para(X1,X1,X1,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_142,c_0_143]),c_0_120])]) ).
cnf(c_0_146,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_120]) ).
cnf(c_0_147,negated_conjecture,
( midp(X1,X2,esk27_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_148,negated_conjecture,
midp(X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_146,c_0_130]) ).
cnf(c_0_149,negated_conjecture,
midp(X1,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_150,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_126,c_0_149]) ).
cnf(c_0_151,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_146,c_0_150]) ).
fof(c_0_152,plain,
! [X820,X821,X822,X823,X824] :
( ~ midp(X823,X820,X821)
| ~ midp(X824,X820,X822)
| para(X823,X824,X821,X822) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_153,negated_conjecture,
midp(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_151])]) ).
cnf(c_0_154,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_155,negated_conjecture,
midp(X1,esk27_0,X2),
inference(spm,[status(thm)],[c_0_60,c_0_153]) ).
cnf(c_0_156,negated_conjecture,
~ para(esk25_0,esk26_0,esk22_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_157,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_155])]) ).
cnf(c_0_158,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_157])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO646+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n020.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:05:20 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 2.19/1.95 % Version : CSE_E---1.7
% 2.19/1.95 % Problem : theBenchmark.p
% 2.19/1.95 % SZS status Theorem for theBenchmark.p
% 2.19/1.95 % SZS output start CNFRefutation
% See solution above
% 2.19/1.95 % Total time : 1.370s
%------------------------------------------------------------------------------