%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO642+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 : n009.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 2.17s 1.95s
% Output : CNFRefutation 2.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 27
% Syntax : Number of formulae : 165 ( 61 unt; 0 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 288 ( 107 ~; 104 |; 49 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 18 ( 18 usr; 17 con; 0-4 aty)
% Number of variables : 506 ( 24 sgn 274 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109108,conjecture,
! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).
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(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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(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(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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X8,X3,X9,X4,X13,X5,X6,X19,X20,X21,X22,X23,X24,X25,X26] :
( ( midp(X8,X2,X1)
& circle(X8,X1,X19,X20)
& circle(X8,X1,X3,X21)
& circle(X8,X1,X9,X22)
& circle(X3,X2,X23,X24)
& circle(X8,X1,X4,X25)
& circle(X3,X2,X4,X26)
& coll(X13,X2,X9)
& coll(X13,X1,X4)
& coll(X5,X1,X3)
& coll(X5,X2,X9)
& coll(X6,X1,X4)
& coll(X6,X3,X9) )
=> perp(X5,X6,X1,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109108]) ).
fof(c_0_28,plain,
! [X939,X940,X941] :
( ~ midp(X939,X940,X941)
| coll(X939,X940,X941) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_29,negated_conjecture,
( midp(esk23_0,esk22_0,esk21_0)
& circle(esk23_0,esk21_0,esk30_0,esk31_0)
& circle(esk23_0,esk21_0,esk24_0,esk32_0)
& circle(esk23_0,esk21_0,esk25_0,esk33_0)
& circle(esk24_0,esk22_0,esk34_0,esk35_0)
& circle(esk23_0,esk21_0,esk26_0,esk36_0)
& circle(esk24_0,esk22_0,esk26_0,esk37_0)
& coll(esk27_0,esk22_0,esk25_0)
& coll(esk27_0,esk21_0,esk26_0)
& coll(esk28_0,esk21_0,esk24_0)
& coll(esk28_0,esk22_0,esk25_0)
& coll(esk29_0,esk21_0,esk26_0)
& coll(esk29_0,esk24_0,esk25_0)
& ~ perp(esk28_0,esk29_0,esk21_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X569,X570,X571] :
( ~ coll(X569,X570,X571)
| coll(X570,X569,X571) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_31,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,negated_conjecture,
midp(esk23_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_33,plain,
! [X598,X599,X600,X601,X602,X603] :
( ~ perp(X598,X599,X600,X601)
| ~ perp(X600,X601,X602,X603)
| para(X598,X599,X602,X603) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_34,plain,
! [X1040,X1041,X1042,X1043] :
( ~ circle(X1043,X1040,X1041,X1042)
| perp(esk12_4(X1040,X1041,X1042,X1043),X1040,X1040,X1043) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_35,plain,
! [X594,X595,X596,X597] :
( ~ perp(X594,X595,X596,X597)
| perp(X596,X597,X594,X595) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_36,plain,
! [X566,X567,X568] :
( ~ coll(X566,X567,X568)
| coll(X566,X568,X567) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_37,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_42,plain,
! [X936,X937,X938] :
( ~ midp(X936,X937,X938)
| cong(X936,X937,X936,X938) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_43,plain,
! [X572,X573,X574,X575] :
( ~ coll(X572,X573,X574)
| ~ coll(X572,X573,X575)
| coll(X574,X575,X572) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_44,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,negated_conjecture,
coll(esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_46,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_47,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
fof(c_0_48,plain,
! [X683,X684,X685,X686] :
( ~ cong(X683,X684,X685,X686)
| cong(X683,X684,X686,X685) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_49,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_50,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_51,negated_conjecture,
coll(esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_52,plain,
! [X576,X577,X578,X579] :
( ~ para(X576,X577,X578,X579)
| para(X576,X577,X579,X578) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_53,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
circle(esk23_0,esk21_0,esk30_0,esk31_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_55,plain,
! [X691,X692,X693,X694,X695,X696] :
( ~ cong(X691,X692,X693,X694)
| ~ cong(X693,X694,X695,X696)
| cong(X691,X692,X695,X696) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_56,plain,
! [X687,X688,X689,X690] :
( ~ cong(X687,X688,X689,X690)
| cong(X689,X690,X687,X688) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_57,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
cong(esk23_0,esk22_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( coll(X1,esk23_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_60,plain,
! [X610,X611,X612] :
( ~ midp(X612,X611,X610)
| midp(X612,X610,X611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_61,plain,
! [X580,X581,X582,X583] :
( ~ para(X580,X581,X582,X583)
| para(X582,X583,X580,X581) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_62,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_63,negated_conjecture,
para(esk21_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_64,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_65,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_66,negated_conjecture,
cong(esk23_0,esk22_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
coll(esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_68,negated_conjecture,
circle(esk24_0,esk22_0,esk34_0,esk35_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_69,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_71,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_72,negated_conjecture,
para(esk21_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_73,negated_conjecture,
( cong(X1,X2,esk23_0,esk21_0)
| ~ cong(X1,X2,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_58]) ).
cnf(c_0_74,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,negated_conjecture,
coll(esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_67]) ).
fof(c_0_76,plain,
! [X647,X648,X649,X650,X651,X652,X653,X654] :
( ~ eqangle(X647,X648,X649,X650,X651,X652,X653,X654)
| eqangle(X649,X650,X647,X648,X653,X654,X651,X652) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_77,plain,
! [X801,X802,X803,X804,X805,X806] :
( ~ para(X801,X802,X803,X804)
| eqangle(X801,X802,X805,X806,X803,X804,X805,X806) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_78,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_53,c_0_68]) ).
fof(c_0_79,plain,
! [X920,X921,X922,X923,X924] :
( ~ midp(X924,X920,X921)
| ~ para(X920,X922,X921,X923)
| ~ para(X920,X923,X921,X922)
| midp(X924,X922,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_80,negated_conjecture,
midp(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_69,c_0_32]) ).
cnf(c_0_81,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_70,c_0_38]) ).
cnf(c_0_82,negated_conjecture,
para(esk23_0,esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_83,plain,
! [X933,X934,X935] :
( ~ cong(X933,X934,X933,X935)
| ~ coll(X933,X934,X935)
| midp(X933,X934,X935) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_84,negated_conjecture,
cong(esk21_0,esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_70,c_0_75]) ).
fof(c_0_86,plain,
! [X795,X796,X797,X798,X799,X800] :
( ~ eqangle(X795,X796,X799,X800,X797,X798,X799,X800)
| para(X795,X796,X797,X798) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_87,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_76]) ).
cnf(c_0_88,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_62,c_0_78]) ).
cnf(c_0_90,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_79]) ).
cnf(c_0_91,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_49,c_0_80]) ).
cnf(c_0_92,negated_conjecture,
coll(esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_81]) ).
cnf(c_0_93,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_82]) ).
cnf(c_0_94,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_95,negated_conjecture,
cong(esk21_0,esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_84]) ).
cnf(c_0_96,negated_conjecture,
coll(esk21_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_37,c_0_85]) ).
cnf(c_0_97,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_86]) ).
cnf(c_0_98,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_99,negated_conjecture,
para(esk24_0,esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_63]),c_0_63])]) ).
cnf(c_0_101,negated_conjecture,
cong(esk23_0,esk21_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_73,c_0_91]) ).
cnf(c_0_102,negated_conjecture,
coll(esk23_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_92]) ).
fof(c_0_103,plain,
! [X972,X973,X974,X975,X976,X977,X978,X979] :
( ~ eqratio(X972,X973,X974,X975,X976,X977,X978,X979)
| ~ cong(X976,X977,X978,X979)
| cong(X972,X973,X974,X975) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_104,plain,
! [X942,X943,X944,X945,X946,X947] :
( ~ midp(X946,X942,X943)
| ~ midp(X947,X944,X945)
| eqratio(X946,X942,X942,X943,X947,X944,X944,X945) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_105,negated_conjecture,
( midp(X1,esk21_0,esk21_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_93]),c_0_93])]) ).
cnf(c_0_106,negated_conjecture,
midp(esk21_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96])]) ).
cnf(c_0_107,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_108,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_62,c_0_99]) ).
cnf(c_0_109,negated_conjecture,
( cong(X1,esk23_0,X1,esk23_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
midp(esk23_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_101]),c_0_102])]) ).
cnf(c_0_111,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_75]) ).
cnf(c_0_112,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_103]) ).
cnf(c_0_113,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_104]) ).
cnf(c_0_114,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_117,negated_conjecture,
coll(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_111,c_0_75]) ).
cnf(c_0_118,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_112,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_115]),c_0_115])]) ).
cnf(c_0_121,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_116]),c_0_117])]) ).
fof(c_0_122,plain,
! [X930,X931,X932] :
( ~ para(X930,X931,X930,X932)
| coll(X930,X931,X932) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_123,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_118,c_0_119]),c_0_114])]) ).
cnf(c_0_124,negated_conjecture,
midp(esk23_0,X1,X1),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_125,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_122]) ).
fof(c_0_126,plain,
! [X956,X957,X958,X959,X960,X961,X962,X963] :
( ~ eqangle(X956,X957,X958,X959,X960,X961,X962,X963)
| ~ para(X960,X961,X962,X963)
| para(X956,X957,X958,X959) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_127,plain,
! [X835,X836,X837] :
( ~ cong(X837,X835,X837,X836)
| eqangle(X837,X835,X835,X836,X835,X836,X837,X836) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_128,negated_conjecture,
cong(esk23_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_125,c_0_115]) ).
cnf(c_0_130,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_126]) ).
cnf(c_0_131,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_132,negated_conjecture,
cong(X1,X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_65,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_129]) ).
cnf(c_0_134,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,negated_conjecture,
cong(X1,X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
para(X1,X1,X1,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_115])]) ).
cnf(c_0_138,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_136]),c_0_136])]) ).
fof(c_0_139,plain,
! [X830,X831,X832,X833,X834] :
( ~ midp(X833,X830,X831)
| ~ para(X833,X834,X831,X832)
| ~ coll(X834,X830,X832)
| midp(X834,X830,X832) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_140,negated_conjecture,
para(X1,X1,esk23_0,X1),
inference(spm,[status(thm)],[c_0_62,c_0_137]) ).
cnf(c_0_141,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_138])]) ).
cnf(c_0_142,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_139]) ).
cnf(c_0_143,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_140]),c_0_140])]) ).
cnf(c_0_144,negated_conjecture,
midp(X1,X1,esk23_0),
inference(spm,[status(thm)],[c_0_141,c_0_135]) ).
cnf(c_0_145,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_138])]) ).
cnf(c_0_146,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_62,c_0_115]) ).
cnf(c_0_147,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_148,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_149,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_120,c_0_147]) ).
cnf(c_0_150,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_97,c_0_131]) ).
cnf(c_0_151,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_152,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_150]) ).
cnf(c_0_153,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_151]) ).
cnf(c_0_154,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_145,c_0_115]) ).
cnf(c_0_155,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_152,c_0_153])]) ).
cnf(c_0_156,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_154,c_0_149]) ).
cnf(c_0_157,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_155]),c_0_156])]) ).
fof(c_0_158,plain,
! [X877,X878,X879,X880] :
( ~ cong(X877,X879,X878,X879)
| ~ cong(X877,X880,X878,X880)
| perp(X877,X878,X879,X880) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_159,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_157])]) ).
cnf(c_0_160,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_161,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_57,c_0_159]) ).
cnf(c_0_162,negated_conjecture,
~ perp(esk28_0,esk29_0,esk21_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_163,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_161]),c_0_161])]) ).
cnf(c_0_164,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_163])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO642+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % 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
% 0.15/0.33 % Computer : n009.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:05:26 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.17/1.95 % Version : CSE_E---1.7
% 2.17/1.95 % Problem : theBenchmark.p
% 2.17/1.95 % SZS status Theorem for theBenchmark.p
% 2.17/1.95 % SZS output start CNFRefutation
% See solution above
% 2.17/1.96 % Total time : 1.375s
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