%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO638+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 : n022.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 04:21:45 PM UTC 2026
% Result : Theorem 2.12s 1.95s
% Output : CNFRefutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 25
% Syntax : Number of formulae : 141 ( 46 unt; 0 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 293 ( 114 ~; 111 |; 42 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 11 con; 0-6 aty)
% Number of variables : 488 ( 34 sgn 248 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL81109104,conjecture,
! [X1,X2,X5,X13,X4,X3,X6,X14,X19,X20,X21] :
( ( midp(X5,X1,X2)
& circle(X5,X1,X19,X20)
& circle(X5,X1,X13,X21)
& perp(X5,X13,X13,X4)
& para(X1,X4,X3,X2)
& coll(X3,X13,X4)
& midp(X6,X3,X4)
& perp(X14,X6,X1,X2)
& coll(X14,X1,X2) )
=> perp(X3,X14,X4,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).
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(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(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(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(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(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(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(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_25,negated_conjecture,
~ ! [X1,X2,X5,X13,X4,X3,X6,X14,X19,X20,X21] :
( ( midp(X5,X1,X2)
& circle(X5,X1,X19,X20)
& circle(X5,X1,X13,X21)
& perp(X5,X13,X13,X4)
& para(X1,X4,X3,X2)
& coll(X3,X13,X4)
& midp(X6,X3,X4)
& perp(X14,X6,X1,X2)
& coll(X14,X1,X2) )
=> perp(X3,X14,X4,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL81109104]) ).
fof(c_0_26,plain,
! [X928,X929,X930] :
( ~ midp(X928,X929,X930)
| coll(X928,X929,X930) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_27,negated_conjecture,
( midp(esk23_0,esk21_0,esk22_0)
& circle(esk23_0,esk21_0,esk29_0,esk30_0)
& circle(esk23_0,esk21_0,esk24_0,esk31_0)
& perp(esk23_0,esk24_0,esk24_0,esk25_0)
& para(esk21_0,esk25_0,esk26_0,esk22_0)
& coll(esk26_0,esk24_0,esk25_0)
& midp(esk27_0,esk26_0,esk25_0)
& perp(esk28_0,esk27_0,esk21_0,esk22_0)
& coll(esk28_0,esk21_0,esk22_0)
& ~ perp(esk26_0,esk28_0,esk25_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,
! [X558,X559,X560] :
( ~ coll(X558,X559,X560)
| coll(X559,X558,X560) ),
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,esk26_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X555,X556,X557] :
( ~ coll(X555,X556,X557)
| coll(X555,X557,X556) ),
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,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_34,plain,
! [X925,X926,X927] :
( ~ midp(X925,X926,X927)
| cong(X925,X926,X925,X927) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_35,plain,
! [X561,X562,X563,X564] :
( ~ coll(X561,X562,X563)
| ~ coll(X561,X562,X564)
| coll(X563,X564,X561) ),
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(esk26_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X672,X673,X674,X675] :
( ~ cong(X672,X673,X674,X675)
| cong(X672,X673,X675,X674) ),
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(esk26_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_42,plain,
! [X680,X681,X682,X683,X684,X685] :
( ~ cong(X680,X681,X682,X683)
| ~ cong(X682,X683,X684,X685)
| cong(X680,X681,X684,X685) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_43,plain,
! [X676,X677,X678,X679] :
( ~ cong(X676,X677,X678,X679)
| cong(X678,X679,X676,X677) ),
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,esk26_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_39,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
( coll(X1,esk27_0,esk26_0)
| ~ coll(esk26_0,esk25_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,esk26_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_50,negated_conjecture,
coll(esk27_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
fof(c_0_51,plain,
! [X904,X905,X906,X907,X908] :
( ~ midp(X908,X904,X905)
| ~ midp(X908,X906,X907)
| para(X904,X906,X905,X907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_52,plain,
! [X995,X996,X997,X998,X999,X1000] :
( ( midp(esk6_6(X995,X996,X997,X998,X999,X1000),X995,X998)
| ~ midp(X999,X995,X996)
| ~ midp(X1000,X997,X998) )
& ( para(esk6_6(X995,X996,X997,X998,X999,X1000),X999,X996,X998)
| ~ midp(X999,X995,X996)
| ~ midp(X1000,X997,X998) )
& ( para(esk6_6(X995,X996,X997,X998,X999,X1000),X1000,X995,X997)
| ~ midp(X999,X995,X996)
| ~ midp(X1000,X997,X998) ) ),
inference(distribute,[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_53,negated_conjecture,
( cong(X1,X2,esk27_0,esk25_0)
| ~ cong(X1,X2,esk27_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_47,c_0_45]) ).
cnf(c_0_54,negated_conjecture,
cong(esk25_0,esk27_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_55,negated_conjecture,
( coll(X1,esk25_0,esk27_0)
| ~ coll(esk27_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_33]) ).
cnf(c_0_56,negated_conjecture,
coll(esk27_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_57,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_58,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]) ).
fof(c_0_59,plain,
! [X922,X923,X924] :
( ~ cong(X922,X923,X922,X924)
| ~ coll(X922,X923,X924)
| midp(X922,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_60,negated_conjecture,
cong(esk25_0,esk27_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
coll(esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
fof(c_0_62,plain,
! [X636,X637,X638,X639,X640,X641,X642,X643] :
( ~ eqangle(X636,X637,X638,X639,X640,X641,X642,X643)
| eqangle(X638,X639,X636,X637,X642,X643,X640,X641) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_63,plain,
! [X790,X791,X792,X793,X794,X795] :
( ~ para(X790,X791,X792,X793)
| eqangle(X790,X791,X794,X795,X792,X793,X794,X795) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
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_57,c_0_58]) ).
cnf(c_0_65,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_66,negated_conjecture,
cong(esk25_0,esk27_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_60]) ).
cnf(c_0_67,negated_conjecture,
coll(esk25_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_32,c_0_61]) ).
fof(c_0_68,plain,
! [X599,X600,X601] :
( ~ midp(X601,X600,X599)
| midp(X601,X599,X600) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_69,plain,
! [X784,X785,X786,X787,X788,X789] :
( ~ eqangle(X784,X785,X788,X789,X786,X787,X788,X789)
| para(X784,X785,X786,X787) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_70,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_62]) ).
cnf(c_0_71,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_72,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_64,c_0_58]) ).
cnf(c_0_73,negated_conjecture,
midp(esk25_0,esk27_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_74,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_75,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_76,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( para(X1,X1,esk27_0,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,negated_conjecture,
midp(esk27_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_74,c_0_30]) ).
cnf(c_0_79,negated_conjecture,
coll(esk25_0,esk25_0,esk27_0),
inference(spm,[status(thm)],[c_0_55,c_0_33]) ).
fof(c_0_80,plain,
! [X909,X910,X911,X912,X913] :
( ~ midp(X913,X909,X910)
| ~ para(X909,X911,X910,X912)
| ~ para(X909,X912,X910,X911)
| midp(X913,X911,X912) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_81,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_82,negated_conjecture,
para(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_77,c_0_73]) ).
cnf(c_0_83,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_39,c_0_78]) ).
cnf(c_0_84,negated_conjecture,
coll(esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_79]) ).
cnf(c_0_85,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_80]) ).
cnf(c_0_86,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_87,negated_conjecture,
cong(esk27_0,esk25_0,esk27_0,esk25_0),
inference(spm,[status(thm)],[c_0_53,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
coll(esk27_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_32,c_0_84]) ).
fof(c_0_89,plain,
! [X961,X962,X963,X964,X965,X966,X967,X968] :
( ~ eqratio(X961,X962,X963,X964,X965,X966,X967,X968)
| ~ cong(X965,X966,X967,X968)
| cong(X961,X962,X963,X964) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_90,plain,
! [X931,X932,X933,X934,X935,X936] :
( ~ midp(X935,X931,X932)
| ~ midp(X936,X933,X934)
| eqratio(X935,X931,X931,X932,X936,X933,X933,X934) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_91,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_86])]) ).
cnf(c_0_92,negated_conjecture,
midp(esk27_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_87]),c_0_88])]) ).
fof(c_0_93,plain,
! [X919,X920,X921] :
( ~ para(X919,X920,X919,X921)
| coll(X919,X920,X921) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_94,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_89]) ).
cnf(c_0_95,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_90]) ).
cnf(c_0_96,negated_conjecture,
midp(esk27_0,X1,X1),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_97,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_98,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_94,c_0_95]) ).
cnf(c_0_99,negated_conjecture,
cong(esk27_0,X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_39,c_0_96]) ).
cnf(c_0_100,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_97,c_0_86]) ).
cnf(c_0_101,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_98,c_0_99]),c_0_96])]) ).
cnf(c_0_102,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_32,c_0_100]) ).
fof(c_0_103,plain,
! [X945,X946,X947,X948,X949,X950,X951,X952] :
( ~ eqangle(X945,X946,X947,X948,X949,X950,X951,X952)
| ~ para(X949,X950,X951,X952)
| para(X945,X946,X947,X948) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_104,plain,
! [X824,X825,X826] :
( ~ cong(X826,X824,X826,X825)
| eqangle(X826,X824,X824,X825,X824,X825,X826,X825) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_105,negated_conjecture,
cong(esk27_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_101,c_0_96]) ).
fof(c_0_106,plain,
! [X819,X820,X821,X822,X823] :
( ~ midp(X822,X819,X820)
| ~ para(X822,X823,X820,X821)
| ~ coll(X823,X819,X821)
| midp(X823,X819,X821) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_107,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_36,c_0_102]) ).
cnf(c_0_108,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_103]) ).
cnf(c_0_109,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,negated_conjecture,
cong(X1,X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_48,c_0_105]) ).
cnf(c_0_111,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_106]) ).
cnf(c_0_112,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_107]),c_0_107])]) ).
cnf(c_0_113,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
cong(X1,X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_44,c_0_110]) ).
cnf(c_0_115,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_112])]) ).
cnf(c_0_116,negated_conjecture,
para(X1,X1,X1,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_86])]) ).
cnf(c_0_117,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_115,c_0_86]) ).
cnf(c_0_118,negated_conjecture,
( midp(X1,X2,esk27_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_119,negated_conjecture,
midp(X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_117,c_0_96]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
fof(c_0_121,plain,
! [X565,X566,X567,X568] :
( ~ para(X565,X566,X567,X568)
| para(X565,X566,X568,X567) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_122,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_91,c_0_120]) ).
cnf(c_0_124,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_125,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_111,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_117,c_0_123]) ).
cnf(c_0_127,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_124,c_0_86]) ).
cnf(c_0_128,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_112])]) ).
cnf(c_0_129,negated_conjecture,
midp(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_126])]) ).
cnf(c_0_130,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_127]) ).
cnf(c_0_131,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_129])]) ).
cnf(c_0_132,negated_conjecture,
midp(esk27_0,X1,X2),
inference(spm,[status(thm)],[c_0_130,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
fof(c_0_134,plain,
! [X866,X867,X868,X869] :
( ~ cong(X866,X868,X867,X868)
| ~ cong(X866,X869,X867,X869)
| perp(X866,X867,X868,X869) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_135,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_133])]) ).
cnf(c_0_136,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_134]) ).
cnf(c_0_137,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_44,c_0_135]) ).
cnf(c_0_138,negated_conjecture,
~ perp(esk26_0,esk28_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_139,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137]),c_0_137])]) ).
cnf(c_0_140,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_139])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO638+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
% 0.16/0.33 % Computer : n022.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:05:36 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.12/1.95 % Version : CSE_E---1.7
% 2.12/1.95 % Problem : theBenchmark.p
% 2.12/1.95 % SZS status Theorem for theBenchmark.p
% 2.12/1.95 % SZS output start CNFRefutation
% See solution above
% 2.12/1.96 % Total time : 1.371s
%------------------------------------------------------------------------------