%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO644+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 : n013.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 2.03s 1.91s
% Output : CNFRefutation 2.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 28
% Syntax : Number of formulae : 161 ( 51 unt; 0 def)
% Number of atoms : 349 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 311 ( 123 ~; 120 |; 39 &)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-6 aty)
% Number of variables : 516 ( 25 sgn 268 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( para(X2,X3,X1,X4)
& para(X1,X2,X3,X4)
& midp(X5,X3,X4)
& midp(X6,X2,X1)
& coll(X13,X1,X3)
& coll(X13,X4,X6)
& coll(X14,X2,X5)
& coll(X14,X1,X3) )
=> cong(X1,X13,X13,X14) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X2)
& cong(X8,X1,X8,X3) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(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(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(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(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(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(c_0_28,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( para(X2,X3,X1,X4)
& para(X1,X2,X3,X4)
& midp(X5,X3,X4)
& midp(X6,X2,X1)
& coll(X13,X1,X3)
& coll(X13,X4,X6)
& coll(X14,X2,X5)
& coll(X14,X1,X3) )
=> cong(X1,X13,X13,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0061]) ).
fof(c_0_29,plain,
! [X581,X582,X583,X584,X585,X586] :
( ~ perp(X581,X582,X583,X584)
| ~ perp(X583,X584,X585,X586)
| para(X581,X582,X585,X586) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_30,plain,
! [X1023,X1024,X1025,X1026] :
( ~ circle(X1026,X1023,X1024,X1025)
| perp(esk12_4(X1023,X1024,X1025,X1026),X1023,X1023,X1026) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_31,plain,
! [X577,X578,X579,X580] :
( ~ perp(X577,X578,X579,X580)
| perp(X579,X580,X577,X578) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_32,plain,
! [X919,X920,X921] :
( ~ midp(X919,X920,X921)
| cong(X919,X920,X919,X921) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_33,negated_conjecture,
( para(esk22_0,esk23_0,esk21_0,esk24_0)
& para(esk21_0,esk22_0,esk23_0,esk24_0)
& midp(esk25_0,esk23_0,esk24_0)
& midp(esk26_0,esk22_0,esk21_0)
& coll(esk27_0,esk21_0,esk23_0)
& coll(esk27_0,esk24_0,esk26_0)
& coll(esk28_0,esk22_0,esk25_0)
& coll(esk28_0,esk21_0,esk23_0)
& ~ cong(esk21_0,esk27_0,esk27_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])]) ).
fof(c_0_34,plain,
! [X593,X594,X595] :
( ~ midp(X595,X594,X593)
| midp(X595,X593,X594) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
fof(c_0_35,plain,
! [X922,X923,X924] :
( ~ midp(X922,X923,X924)
| coll(X922,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_36,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_38,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_39,plain,
! [X596,X597,X598,X599] :
( ~ cong(X599,X596,X599,X597)
| ~ cong(X599,X596,X599,X598)
| circle(X599,X596,X597,X598) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])]) ).
cnf(c_0_40,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_41,negated_conjecture,
midp(esk26_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_42,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_43,plain,
! [X552,X553,X554] :
( ~ coll(X552,X553,X554)
| coll(X553,X552,X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_44,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_45,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_36,c_0_37]) ).
cnf(c_0_46,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_47,plain,
( circle(X1,X2,X3,X4)
| ~ cong(X1,X2,X1,X3)
| ~ cong(X1,X2,X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
fof(c_0_49,plain,
! [X674,X675,X676,X677,X678,X679] :
( ~ cong(X674,X675,X676,X677)
| ~ cong(X676,X677,X678,X679)
| cong(X674,X675,X678,X679) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_50,negated_conjecture,
midp(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
fof(c_0_51,plain,
! [X549,X550,X551] :
( ~ coll(X549,X550,X551)
| coll(X549,X551,X550) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_52,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_53,negated_conjecture,
coll(esk26_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_54,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_55,negated_conjecture,
( circle(esk26_0,esk22_0,X1,esk21_0)
| ~ cong(esk26_0,esk22_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_56,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_50]) ).
fof(c_0_58,plain,
! [X555,X556,X557,X558] :
( ~ coll(X555,X556,X557)
| ~ coll(X555,X556,X558)
| coll(X557,X558,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_59,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
coll(esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
fof(c_0_61,plain,
! [X666,X667,X668,X669] :
( ~ cong(X666,X667,X668,X669)
| cong(X666,X667,X669,X668) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
fof(c_0_62,plain,
! [X559,X560,X561,X562] :
( ~ para(X559,X560,X561,X562)
| para(X559,X560,X562,X561) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_63,negated_conjecture,
( para(esk22_0,esk26_0,esk22_0,esk26_0)
| ~ cong(esk26_0,esk22_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,negated_conjecture,
( cong(X1,X2,esk26_0,esk22_0)
| ~ cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_65,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,negated_conjecture,
coll(esk22_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_67,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_68,negated_conjecture,
coll(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_53]) ).
fof(c_0_69,plain,
! [X563,X564,X565,X566] :
( ~ para(X563,X564,X565,X566)
| para(X565,X566,X563,X564) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_70,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_71,negated_conjecture,
para(esk22_0,esk26_0,esk22_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_48])]) ).
fof(c_0_72,plain,
! [X670,X671,X672,X673] :
( ~ cong(X670,X671,X672,X673)
| cong(X672,X673,X670,X671) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_73,negated_conjecture,
( coll(X1,esk26_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_74,negated_conjecture,
cong(esk26_0,esk21_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_57]) ).
cnf(c_0_75,negated_conjecture,
( coll(X1,esk22_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_68]) ).
fof(c_0_76,plain,
! [X630,X631,X632,X633,X634,X635,X636,X637] :
( ~ eqangle(X630,X631,X632,X633,X634,X635,X636,X637)
| eqangle(X632,X633,X630,X631,X636,X637,X634,X635) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_77,plain,
! [X784,X785,X786,X787,X788,X789] :
( ~ para(X784,X785,X786,X787)
| eqangle(X784,X785,X788,X789,X786,X787,X788,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_78,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
para(esk22_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_80,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,negated_conjecture,
coll(esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_73,c_0_66]) ).
fof(c_0_82,plain,
! [X903,X904,X905,X906,X907] :
( ~ midp(X907,X903,X904)
| ~ para(X903,X905,X904,X906)
| ~ para(X903,X906,X904,X905)
| midp(X907,X905,X906) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_83,negated_conjecture,
( cong(X1,X2,esk22_0,esk26_0)
| ~ cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_68]) ).
fof(c_0_85,plain,
! [X778,X779,X780,X781,X782,X783] :
( ~ eqangle(X778,X779,X782,X783,X780,X781,X782,X783)
| para(X778,X779,X780,X781) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_86,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_87,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_88,negated_conjecture,
para(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
fof(c_0_89,plain,
! [X916,X917,X918] :
( ~ cong(X916,X917,X916,X918)
| ~ coll(X916,X917,X918)
| midp(X916,X917,X918) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_90,negated_conjecture,
cong(esk22_0,esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_80,c_0_74]) ).
cnf(c_0_91,negated_conjecture,
coll(esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_59,c_0_81]) ).
cnf(c_0_92,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_82]) ).
cnf(c_0_93,negated_conjecture,
cong(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_83,c_0_48]) ).
cnf(c_0_94,negated_conjecture,
coll(esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_84]) ).
cnf(c_0_95,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_96,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
para(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_70,c_0_88]) ).
cnf(c_0_98,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_99,negated_conjecture,
cong(esk22_0,esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_83,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
coll(esk22_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_52,c_0_91]) ).
cnf(c_0_101,negated_conjecture,
( midp(X1,esk26_0,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_71]),c_0_71])]) ).
cnf(c_0_102,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_67,c_0_93]) ).
cnf(c_0_103,negated_conjecture,
coll(esk26_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_52,c_0_94]) ).
fof(c_0_104,plain,
! [X913,X914,X915] :
( ~ para(X913,X914,X913,X915)
| coll(X913,X914,X915) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_105,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
fof(c_0_106,plain,
! [X955,X956,X957,X958,X959,X960,X961,X962] :
( ~ eqratio(X955,X956,X957,X958,X959,X960,X961,X962)
| ~ cong(X959,X960,X961,X962)
| cong(X955,X956,X957,X958) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_107,plain,
! [X925,X926,X927,X928,X929,X930] :
( ~ midp(X929,X925,X926)
| ~ midp(X930,X927,X928)
| eqratio(X929,X925,X925,X926,X930,X927,X927,X928) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_97]),c_0_97])]) ).
cnf(c_0_109,negated_conjecture,
midp(esk22_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_99]),c_0_100])]) ).
cnf(c_0_110,negated_conjecture,
( cong(X1,esk26_0,X1,esk26_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
midp(esk26_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_102]),c_0_103])]) ).
cnf(c_0_112,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_113,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_105,c_0_97]) ).
cnf(c_0_114,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_106]) ).
cnf(c_0_115,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_107]) ).
cnf(c_0_116,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_117,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_118,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_119,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_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_40,c_0_116]) ).
cnf(c_0_121,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_113]),c_0_113])]) ).
cnf(c_0_122,negated_conjecture,
midp(esk26_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_117]),c_0_118])]) ).
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_119,c_0_120]),c_0_116])]) ).
cnf(c_0_124,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
cnf(c_0_125,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_52,c_0_118]) ).
fof(c_0_126,plain,
! [X939,X940,X941,X942,X943,X944,X945,X946] :
( ~ eqangle(X939,X940,X941,X942,X943,X944,X945,X946)
| ~ para(X943,X944,X945,X946)
| para(X939,X940,X941,X942) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_127,plain,
! [X818,X819,X820] :
( ~ cong(X820,X818,X820,X819)
| eqangle(X820,X818,X818,X819,X818,X819,X820,X819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_128,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_129,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_125]) ).
fof(c_0_130,plain,
! [X813,X814,X815,X816,X817] :
( ~ midp(X816,X813,X814)
| ~ para(X816,X817,X814,X815)
| ~ coll(X817,X813,X815)
| midp(X817,X813,X815) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_131,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_132,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_133,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_80,c_0_128]) ).
cnf(c_0_134,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_129]),c_0_129])]) ).
cnf(c_0_135,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_130]) ).
cnf(c_0_136,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_67,c_0_133]) ).
cnf(c_0_138,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_134])]) ).
cnf(c_0_139,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_134])]) ).
cnf(c_0_140,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_113])]) ).
cnf(c_0_141,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_138,c_0_137]) ).
cnf(c_0_142,negated_conjecture,
( midp(X1,X2,esk26_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_42,c_0_141]) ).
fof(c_0_144,plain,
! [X989,X990,X991,X992,X993,X994] :
( ( midp(esk6_6(X989,X990,X991,X992,X993,X994),X989,X992)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) )
& ( para(esk6_6(X989,X990,X991,X992,X993,X994),X993,X990,X992)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) )
& ( para(esk6_6(X989,X990,X991,X992,X993,X994),X994,X989,X991)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) ) ),
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_145,negated_conjecture,
midp(X1,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,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_144]) ).
cnf(c_0_147,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_113]) ).
cnf(c_0_148,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_121,c_0_145]) ).
cnf(c_0_149,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_135,c_0_146]) ).
cnf(c_0_150,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_147,c_0_148]) ).
cnf(c_0_151,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_70,c_0_113]) ).
cnf(c_0_152,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_149,c_0_134])]) ).
cnf(c_0_153,negated_conjecture,
midp(X1,X2,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_150])]) ).
cnf(c_0_154,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_151]) ).
cnf(c_0_155,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_153])]) ).
cnf(c_0_156,negated_conjecture,
midp(esk26_0,X1,X2),
inference(spm,[status(thm)],[c_0_154,c_0_153]) ).
cnf(c_0_157,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_158,negated_conjecture,
~ cong(esk21_0,esk27_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
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,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_158,c_0_159])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO644+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
% 0.14/0.32 % Computer : n013.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:04:56 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 2.03/1.91 % Version : CSE_E---1.7
% 2.03/1.91 % Problem : theBenchmark.p
% 2.03/1.91 % SZS status Theorem for theBenchmark.p
% 2.03/1.91 % SZS output start CNFRefutation
% See solution above
% 2.03/1.92 % Total time : 1.373s
%------------------------------------------------------------------------------