%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO587+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 : n016.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 04:21:36 PM UTC 2026
% Result : Theorem 1.91s 1.98s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 25
% Syntax : Number of formulae : 127 ( 38 unt; 0 def)
% Number of atoms : 274 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 240 ( 93 ~; 90 |; 31 &)
% ( 0 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 443 ( 26 sgn 244 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416049,conjecture,
! [X1,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( perp(X1,X3,X2,X4)
& midp(X9,X2,X1)
& midp(X10,X3,X2)
& midp(X15,X4,X3)
& midp(X19,X1,X4)
& coll(X8,X9,X15)
& coll(X8,X10,X19) )
=> cong(X8,X19,X8,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416049) ).
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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( 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(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(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( 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(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( 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,X3,X2,X4,X9,X10,X15,X19,X8] :
( ( perp(X1,X3,X2,X4)
& midp(X9,X2,X1)
& midp(X10,X3,X2)
& midp(X15,X4,X3)
& midp(X19,X1,X4)
& coll(X8,X9,X15)
& coll(X8,X10,X19) )
=> cong(X8,X19,X8,X15) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416049]) ).
fof(c_0_26,plain,
! [X924,X925,X926] :
( ~ midp(X924,X925,X926)
| coll(X924,X925,X926) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_27,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk24_0)
& midp(esk25_0,esk23_0,esk21_0)
& midp(esk26_0,esk22_0,esk23_0)
& midp(esk27_0,esk24_0,esk22_0)
& midp(esk28_0,esk21_0,esk24_0)
& coll(esk29_0,esk25_0,esk27_0)
& coll(esk29_0,esk26_0,esk28_0)
& ~ cong(esk29_0,esk28_0,esk29_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
fof(c_0_28,plain,
! [X551,X552,X553] :
( ~ coll(X551,X552,X553)
| coll(X551,X553,X552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
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(esk28_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_31,plain,
! [X579,X580,X581,X582] :
( ~ perp(X579,X580,X581,X582)
| perp(X581,X582,X579,X580) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_32,plain,
! [X595,X596,X597] :
( ~ midp(X597,X596,X595)
| midp(X597,X595,X596) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_33,plain,
! [X557,X558,X559,X560] :
( ~ coll(X557,X558,X559)
| ~ coll(X557,X558,X560)
| coll(X559,X560,X557) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_34,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,negated_conjecture,
coll(esk28_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
fof(c_0_36,plain,
! [X632,X633,X634,X635,X636,X637,X638,X639] :
( ~ eqangle(X632,X633,X634,X635,X636,X637,X638,X639)
| eqangle(X634,X635,X632,X633,X638,X639,X636,X637) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_37,plain,
! [X786,X787,X788,X789,X790,X791] :
( ~ para(X786,X787,X788,X789)
| eqangle(X786,X787,X790,X791,X788,X789,X790,X791) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_38,plain,
! [X575,X576,X577,X578] :
( ~ perp(X575,X576,X577,X578)
| perp(X575,X576,X578,X577) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_39,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
perp(esk21_0,esk22_0,esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
fof(c_0_41,plain,
! [X921,X922,X923] :
( ~ midp(X921,X922,X923)
| cong(X921,X922,X921,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_42,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_44,negated_conjecture,
coll(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_45,plain,
! [X780,X781,X782,X783,X784,X785] :
( ~ eqangle(X780,X781,X784,X785,X782,X783,X784,X785)
| para(X780,X781,X782,X783) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_46,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_36]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_48,plain,
! [X583,X584,X585,X586,X587,X588] :
( ~ perp(X583,X584,X585,X586)
| ~ perp(X585,X586,X587,X588)
| para(X583,X584,X587,X588) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_49,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_50,negated_conjecture,
perp(esk23_0,esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_51,plain,
! [X676,X677,X678,X679,X680,X681] :
( ~ cong(X676,X677,X678,X679)
| ~ cong(X678,X679,X680,X681)
| cong(X676,X677,X680,X681) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_52,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_53,negated_conjecture,
midp(esk28_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_30]) ).
cnf(c_0_54,negated_conjecture,
( coll(X1,esk21_0,esk28_0)
| ~ coll(esk28_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_55,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_56,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_57,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,negated_conjecture,
perp(esk23_0,esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
cong(esk28_0,esk24_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_61,plain,
! [X554,X555,X556] :
( ~ coll(X554,X555,X556)
| coll(X555,X554,X556) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_62,negated_conjecture,
coll(esk21_0,esk21_0,esk28_0),
inference(spm,[status(thm)],[c_0_54,c_0_44]) ).
fof(c_0_63,plain,
! [X905,X906,X907,X908,X909] :
( ~ midp(X909,X905,X906)
| ~ para(X905,X907,X906,X908)
| ~ para(X905,X908,X906,X907)
| midp(X909,X907,X908) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_64,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_65,negated_conjecture,
( para(X1,X2,esk22_0,esk21_0)
| ~ perp(X1,X2,esk23_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,negated_conjecture,
perp(esk22_0,esk21_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_58]) ).
fof(c_0_67,plain,
! [X918,X919,X920] :
( ~ cong(X918,X919,X918,X920)
| ~ coll(X918,X919,X920)
| midp(X918,X919,X920) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_68,negated_conjecture,
( cong(X1,X2,esk28_0,esk21_0)
| ~ cong(X1,X2,esk28_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk24_0),
inference(spm,[status(thm)],[c_0_52,c_0_30]) ).
cnf(c_0_70,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_71,negated_conjecture,
coll(esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_34,c_0_62]) ).
cnf(c_0_72,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_63]) ).
cnf(c_0_73,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66])]) ).
cnf(c_0_74,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_75,negated_conjecture,
cong(esk28_0,esk21_0,esk28_0,esk21_0),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
coll(esk28_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_77,plain,
! [X957,X958,X959,X960,X961,X962,X963,X964] :
( ~ eqratio(X957,X958,X959,X960,X961,X962,X963,X964)
| ~ cong(X961,X962,X963,X964)
| cong(X957,X958,X959,X960) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_78,plain,
! [X927,X928,X929,X930,X931,X932] :
( ~ midp(X931,X927,X928)
| ~ midp(X932,X929,X930)
| eqratio(X931,X927,X927,X928,X932,X929,X929,X930) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_79,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
cnf(c_0_80,negated_conjecture,
midp(esk28_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76])]) ).
fof(c_0_81,plain,
! [X915,X916,X917] :
( ~ para(X915,X916,X915,X917)
| coll(X915,X916,X917) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_82,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_77]) ).
cnf(c_0_83,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_78]) ).
cnf(c_0_84,negated_conjecture,
midp(esk28_0,X1,X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,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_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
cong(esk28_0,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_52,c_0_84]) ).
cnf(c_0_88,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_85,c_0_73]) ).
fof(c_0_89,plain,
! [X672,X673,X674,X675] :
( ~ cong(X672,X673,X674,X675)
| cong(X674,X675,X672,X673) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_90,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_86,c_0_87]),c_0_84])]) ).
cnf(c_0_91,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_88]) ).
fof(c_0_92,plain,
! [X941,X942,X943,X944,X945,X946,X947,X948] :
( ~ eqangle(X941,X942,X943,X944,X945,X946,X947,X948)
| ~ para(X945,X946,X947,X948)
| para(X941,X942,X943,X944) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_93,plain,
! [X820,X821,X822] :
( ~ cong(X822,X820,X822,X821)
| eqangle(X822,X820,X820,X821,X820,X821,X822,X821) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_94,plain,
! [X668,X669,X670,X671] :
( ~ cong(X668,X669,X670,X671)
| cong(X668,X669,X671,X670) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_95,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_96,negated_conjecture,
cong(esk28_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_90,c_0_84]) ).
cnf(c_0_97,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_34,c_0_91]) ).
fof(c_0_98,plain,
! [X815,X816,X817,X818,X819] :
( ~ midp(X818,X815,X816)
| ~ para(X818,X819,X816,X817)
| ~ coll(X819,X815,X817)
| midp(X819,X815,X817) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_99,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_92]) ).
cnf(c_0_100,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_101,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_102,negated_conjecture,
cong(X1,X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_103,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_97]),c_0_97])]) ).
cnf(c_0_104,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_98]) ).
cnf(c_0_105,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,negated_conjecture,
cong(X1,X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_103])]) ).
cnf(c_0_108,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).
cnf(c_0_109,negated_conjecture,
para(X1,X1,X1,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_73])]) ).
cnf(c_0_110,negated_conjecture,
midp(X1,X1,esk28_0),
inference(spm,[status(thm)],[c_0_107,c_0_106]) ).
cnf(c_0_111,negated_conjecture,
( midp(X1,X2,esk28_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
midp(X1,esk28_0,X1),
inference(spm,[status(thm)],[c_0_42,c_0_110]) ).
cnf(c_0_113,negated_conjecture,
midp(X1,esk28_0,esk28_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_114,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_108,c_0_73]) ).
cnf(c_0_115,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_116,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
fof(c_0_117,plain,
! [X810,X811,X812,X813,X814] :
( ~ midp(X813,X810,X811)
| ~ midp(X814,X810,X812)
| para(X813,X814,X811,X812) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_118,negated_conjecture,
midp(X1,X2,esk28_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_116])]) ).
cnf(c_0_119,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_120,negated_conjecture,
midp(X1,esk28_0,X2),
inference(spm,[status(thm)],[c_0_42,c_0_118]) ).
cnf(c_0_121,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_120])]) ).
cnf(c_0_122,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_121]),c_0_121])]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_122,c_0_120]) ).
cnf(c_0_124,negated_conjecture,
~ cong(esk29_0,esk28_0,esk29_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_125,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_123])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO587+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
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 4 18:04:06 EDT 2026
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % start to proof: theBenchmark
% 1.91/1.98 % Version : CSE_E---1.7
% 1.91/1.98 % Problem : theBenchmark.p
% 1.91/1.98 % SZS status Theorem for theBenchmark.p
% 1.91/1.98 % SZS output start CNFRefutation
% See solution above
% 1.91/1.99 % Total time : 1.374s
%------------------------------------------------------------------------------