%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO656+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n002.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 04:21:48 PM UTC 2026
% Result : Theorem 1.73s 1.86s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 27
% Syntax : Number of formulae : 175 ( 66 unt; 0 def)
% Number of atoms : 343 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 288 ( 120 ~; 117 |; 23 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-6 aty)
% Number of variables : 512 ( 24 sgn 270 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE02314,conjecture,
! [X1,X2,X3,X4,X5,X6] :
( ( midp(X4,X2,X1)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& eqangle(X6,X4,X4,X2,X6,X4,X4,X3) )
=> para(X5,X6,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02314) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD20,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X9,X10,X11,X12,X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD5,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_27,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6] :
( ( midp(X4,X2,X1)
& eqangle(X5,X4,X4,X1,X5,X4,X4,X3)
& eqangle(X6,X4,X4,X2,X6,X4,X4,X3) )
=> para(X5,X6,X1,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02314]) ).
fof(c_0_28,plain,
! [X920,X921,X922] :
( ~ midp(X920,X921,X922)
| coll(X920,X921,X922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_29,negated_conjecture,
( midp(esk24_0,esk22_0,esk21_0)
& eqangle(esk25_0,esk24_0,esk24_0,esk21_0,esk25_0,esk24_0,esk24_0,esk23_0)
& eqangle(esk26_0,esk24_0,esk24_0,esk22_0,esk26_0,esk24_0,esk24_0,esk23_0)
& ~ para(esk25_0,esk26_0,esk21_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
fof(c_0_30,plain,
! [X591,X592,X593] :
( ~ midp(X593,X592,X591)
| midp(X593,X591,X592) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_31,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X551,X550,X552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_32,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
midp(esk24_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_34,plain,
! [X636,X637,X638,X639,X640,X641,X642,X643] :
( ~ eqangle(X636,X637,X638,X639,X640,X641,X642,X643)
| eqangle(X640,X641,X642,X643,X636,X637,X638,X639) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
fof(c_0_35,plain,
! [X917,X918,X919] :
( ~ midp(X917,X918,X919)
| cong(X917,X918,X917,X919) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_36,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_37,plain,
! [X547,X548,X549] :
( ~ coll(X547,X548,X549)
| coll(X547,X549,X548) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_38,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,negated_conjecture,
coll(esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_40,plain,
! [X628,X629,X630,X631,X632,X633,X634,X635] :
( ~ eqangle(X628,X629,X630,X631,X632,X633,X634,X635)
| eqangle(X630,X631,X628,X629,X634,X635,X632,X633) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
cnf(c_0_41,plain,
( eqangle(X5,X6,X7,X8,X1,X2,X3,X4)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,negated_conjecture,
eqangle(esk26_0,esk24_0,esk24_0,esk22_0,esk26_0,esk24_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_43,plain,
! [X664,X665,X666,X667] :
( ~ cong(X664,X665,X666,X667)
| cong(X664,X665,X667,X666) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_44,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,negated_conjecture,
midp(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_33]) ).
fof(c_0_46,plain,
! [X553,X554,X555,X556] :
( ~ coll(X553,X554,X555)
| ~ coll(X553,X554,X556)
| coll(X555,X556,X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_47,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_48,negated_conjecture,
coll(esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_49,plain,
! [X776,X777,X778,X779,X780,X781] :
( ~ eqangle(X776,X777,X780,X781,X778,X779,X780,X781)
| para(X776,X777,X778,X779) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_50,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_40]) ).
cnf(c_0_51,negated_conjecture,
eqangle(esk26_0,esk24_0,esk24_0,esk23_0,esk26_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_52,plain,
! [X672,X673,X674,X675,X676,X677] :
( ~ cong(X672,X673,X674,X675)
| ~ cong(X674,X675,X676,X677)
| cong(X672,X673,X676,X677) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_53,plain,
! [X668,X669,X670,X671] :
( ~ cong(X668,X669,X670,X671)
| cong(X670,X671,X668,X669) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_54,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_58,plain,
! [X561,X562,X563,X564] :
( ~ para(X561,X562,X563,X564)
| para(X563,X564,X561,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_59,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_60,negated_conjecture,
eqangle(esk24_0,esk23_0,esk26_0,esk24_0,esk24_0,esk22_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_62,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,negated_conjecture,
cong(esk24_0,esk21_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( coll(X1,esk24_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_65,plain,
! [X901,X902,X903,X904,X905] :
( ~ midp(X905,X901,X902)
| ~ para(X901,X903,X902,X904)
| ~ para(X901,X904,X902,X903)
| midp(X905,X903,X904) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_66,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_67,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( cong(X1,X2,esk24_0,esk22_0)
| ~ cong(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_61,c_0_55]) ).
cnf(c_0_69,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
coll(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_71,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_65]) ).
cnf(c_0_72,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X914,X915,X916] :
( ~ cong(X914,X915,X914,X916)
| ~ coll(X914,X915,X916)
| midp(X914,X915,X916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_74,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_47,c_0_70]) ).
fof(c_0_76,plain,
! [X816,X817,X818] :
( ~ cong(X818,X816,X818,X817)
| eqangle(X818,X816,X816,X817,X816,X817,X818,X817) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_77,plain,
! [X937,X938,X939,X940,X941,X942,X943,X944] :
( ~ eqangle(X937,X938,X939,X940,X941,X942,X943,X944)
| ~ para(X941,X942,X943,X944)
| para(X937,X938,X939,X940) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_78,negated_conjecture,
( midp(X1,esk23_0,esk22_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_67])]) ).
cnf(c_0_79,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_80,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_38,c_0_75]) ).
fof(c_0_82,plain,
! [X557,X558,X559,X560] :
( ~ para(X557,X558,X559,X560)
| para(X557,X558,X560,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_83,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,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_77]) ).
cnf(c_0_85,negated_conjecture,
( cong(X1,esk23_0,X1,esk22_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_78]) ).
cnf(c_0_86,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81])]) ).
cnf(c_0_87,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_88,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
coll(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_45]) ).
cnf(c_0_90,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_84,c_0_83]) ).
cnf(c_0_91,negated_conjecture,
cong(esk22_0,esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
( coll(X1,esk22_0,esk24_0)
| ~ coll(esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_89]) ).
fof(c_0_94,plain,
! [X911,X912,X913] :
( ~ para(X911,X912,X911,X913)
| coll(X911,X912,X913) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_95,negated_conjecture,
( para(esk22_0,esk23_0,esk23_0,esk22_0)
| ~ para(esk23_0,esk22_0,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_96,plain,
( para(X1,X2,X2,X2)
| ~ cong(X2,X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_66,c_0_92]) ).
cnf(c_0_97,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_62,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
coll(esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_93,c_0_89]) ).
cnf(c_0_99,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_100,negated_conjecture,
para(esk22_0,esk23_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]) ).
cnf(c_0_101,negated_conjecture,
coll(esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_47,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
coll(esk24_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_99,c_0_72]) ).
fof(c_0_103,plain,
! [X782,X783,X784,X785,X786,X787] :
( ~ para(X782,X783,X784,X785)
| eqangle(X782,X783,X786,X787,X784,X785,X786,X787) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_104,plain,
! [X644,X645,X646,X647,X648,X649,X650,X651] :
( ~ eqangle(X644,X645,X646,X647,X648,X649,X650,X651)
| eqangle(X644,X645,X648,X649,X646,X647,X650,X651) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_105,negated_conjecture,
para(esk24_0,esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_87,c_0_67]) ).
cnf(c_0_106,negated_conjecture,
( para(esk22_0,esk22_0,esk22_0,esk23_0)
| ~ para(esk22_0,esk23_0,esk22_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_97]) ).
cnf(c_0_107,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_87,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( coll(X1,esk22_0,esk22_0)
| ~ coll(esk22_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_101]) ).
cnf(c_0_109,negated_conjecture,
coll(esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_102]) ).
cnf(c_0_110,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_111,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_112,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
para(esk22_0,esk22_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]) ).
cnf(c_0_114,negated_conjecture,
coll(esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_115,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_50,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
eqangle(esk26_0,esk24_0,esk26_0,esk24_0,esk24_0,esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_111,c_0_51]) ).
cnf(c_0_117,negated_conjecture,
para(esk22_0,esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_87,c_0_112]) ).
cnf(c_0_118,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_66,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_33]) ).
fof(c_0_120,plain,
! [X953,X954,X955,X956,X957,X958,X959,X960] :
( ~ eqratio(X953,X954,X955,X956,X957,X958,X959,X960)
| ~ cong(X957,X958,X959,X960)
| cong(X953,X954,X955,X956) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_121,plain,
! [X923,X924,X925,X926,X927,X928] :
( ~ midp(X927,X923,X924)
| ~ midp(X928,X925,X926)
| eqratio(X927,X923,X923,X924,X928,X925,X925,X926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_122,negated_conjecture,
coll(esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_114]) ).
cnf(c_0_123,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_59,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
para(esk26_0,esk24_0,esk26_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_116]),c_0_67])]) ).
cnf(c_0_125,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_117]),c_0_117])]) ).
cnf(c_0_126,negated_conjecture,
( midp(X1,esk22_0,esk23_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_118]),c_0_113])]) ).
cnf(c_0_127,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_68,c_0_119]) ).
cnf(c_0_128,negated_conjecture,
coll(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_38,c_0_101]) ).
cnf(c_0_129,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_120]) ).
cnf(c_0_130,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_121]) ).
cnf(c_0_131,negated_conjecture,
midp(esk22_0,esk23_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_91]),c_0_122])]) ).
cnf(c_0_132,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_133,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_134,negated_conjecture,
midp(esk24_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_127]),c_0_128])]) ).
cnf(c_0_135,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_129,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
midp(esk22_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_131]) ).
cnf(c_0_137,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_132]),c_0_132])]) ).
cnf(c_0_138,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_99,c_0_132]) ).
cnf(c_0_140,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_135,c_0_97]),c_0_136])]) ).
cnf(c_0_141,negated_conjecture,
midp(esk24_0,X1,X1),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_142,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
cong(esk24_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_144,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_142]) ).
fof(c_0_145,plain,
! [X811,X812,X813,X814,X815] :
( ~ midp(X814,X811,X812)
| ~ para(X814,X815,X812,X813)
| ~ coll(X815,X811,X813)
| midp(X815,X811,X813) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_146,negated_conjecture,
cong(X1,X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_62,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_144]),c_0_144])]) ).
cnf(c_0_148,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_145]) ).
cnf(c_0_149,negated_conjecture,
cong(X1,X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_54,c_0_146]) ).
cnf(c_0_150,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_147])]) ).
cnf(c_0_151,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_147])]) ).
cnf(c_0_152,negated_conjecture,
para(X1,X1,X1,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_149]),c_0_132])]) ).
cnf(c_0_153,negated_conjecture,
midp(X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_150,c_0_149]) ).
cnf(c_0_154,negated_conjecture,
( midp(X1,X2,esk24_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_155,negated_conjecture,
midp(X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_36,c_0_153]) ).
fof(c_0_156,plain,
! [X987,X988,X989,X990,X991,X992] :
( ( midp(esk6_6(X987,X988,X989,X990,X991,X992),X987,X990)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) )
& ( para(esk6_6(X987,X988,X989,X990,X991,X992),X991,X988,X990)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) )
& ( para(esk6_6(X987,X988,X989,X990,X991,X992),X992,X987,X989)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) ) ),
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_157,negated_conjecture,
midp(X1,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_158,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_156]) ).
cnf(c_0_159,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_151,c_0_132]) ).
cnf(c_0_160,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_137,c_0_157]) ).
cnf(c_0_161,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_148,c_0_158]) ).
cnf(c_0_162,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_159,c_0_160]) ).
cnf(c_0_163,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_87,c_0_132]) ).
cnf(c_0_164,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_161,c_0_147])]) ).
cnf(c_0_165,negated_conjecture,
midp(X1,X2,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_162])]) ).
cnf(c_0_166,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_163]) ).
fof(c_0_167,plain,
! [X806,X807,X808,X809,X810] :
( ~ midp(X809,X806,X807)
| ~ midp(X810,X806,X808)
| para(X809,X810,X807,X808) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_168,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_165])]) ).
cnf(c_0_169,negated_conjecture,
midp(esk24_0,X1,X2),
inference(spm,[status(thm)],[c_0_166,c_0_165]) ).
cnf(c_0_170,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_171,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_172,negated_conjecture,
~ para(esk25_0,esk26_0,esk21_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_173,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171]),c_0_171])]) ).
cnf(c_0_174,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO656+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n002.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 18:05:31 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.73/1.86 % Version : CSE_E---1.7
% 1.73/1.86 % Problem : theBenchmark.p
% 1.73/1.86 % SZS status Theorem for theBenchmark.p
% 1.73/1.86 % SZS output start CNFRefutation
% See solution above
% 1.73/1.87 % Total time : 1.371s
%------------------------------------------------------------------------------