%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO597+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 : 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 04:21:38 PM UTC 2026
% Result : Theorem 1.95s 1.94s
% Output : CNFRefutation 1.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 35
% Syntax : Number of formulae : 210 ( 72 unt; 0 def)
% Number of atoms : 437 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 387 ( 160 ~; 157 |; 34 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 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; 7 con; 0-6 aty)
% Number of variables : 726 ( 54 sgn 368 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416059,conjecture,
! [X1,X2,X3,X8,X7,X17,X19] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X1)
& coll(X17,X8,X7)
& circle(X8,X1,X17,X19) )
=> eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416059) ).
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(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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
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(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(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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
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(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(ruleX7,axiom,
! [X1,X2,X3,X4,X7,X17,X10] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4)
& coll(X3,X1,X2)
& coll(X4,X1,X2) )
=> midp(X9,X1,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX7) ).
fof(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
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(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(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(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(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(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(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(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(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(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(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(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(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(ruleD22,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12,X5,X6,X13,X14] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& eqangle(X9,X10,X11,X12,X5,X6,X13,X14) )
=> eqangle(X1,X2,X3,X4,X5,X6,X13,X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD22) ).
fof(c_0_35,negated_conjecture,
~ ! [X1,X2,X3,X8,X7,X17,X19] :
( ( circle(X8,X1,X2,X3)
& midp(X7,X2,X1)
& coll(X17,X8,X7)
& circle(X8,X1,X17,X19) )
=> eqangle(X1,X3,X3,X17,X17,X3,X3,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416059]) ).
fof(c_0_36,plain,
! [X922,X923,X924] :
( ~ midp(X922,X923,X924)
| coll(X922,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_37,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& midp(esk25_0,esk22_0,esk21_0)
& coll(esk26_0,esk24_0,esk25_0)
& circle(esk24_0,esk21_0,esk26_0,esk27_0)
& ~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
fof(c_0_38,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_39,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_40,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_41,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_42,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_46,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
fof(c_0_47,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_48,plain,
! [X593,X594,X595] :
( ~ midp(X595,X594,X593)
| midp(X595,X593,X594) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_49,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_51,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_52,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_44,c_0_45]) ).
cnf(c_0_53,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_46,c_0_45]) ).
fof(c_0_54,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_55,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_56,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_57,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_58,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_59,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_60,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_61,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_64,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_55,c_0_43]) ).
cnf(c_0_65,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_56,c_0_43]) ).
cnf(c_0_66,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_67,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_50]) ).
cnf(c_0_68,negated_conjecture,
coll(esk22_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_59,c_0_50]) ).
cnf(c_0_69,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_60]) ).
cnf(c_0_70,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_71,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_72,negated_conjecture,
( cong(X1,X2,esk25_0,esk21_0)
| ~ cong(X1,X2,esk25_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_55,c_0_65]) ).
cnf(c_0_74,negated_conjecture,
coll(esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
coll(esk22_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_68]) ).
cnf(c_0_76,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_70])]) ).
cnf(c_0_77,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_78,negated_conjecture,
cong(esk25_0,esk21_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,negated_conjecture,
coll(esk25_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_80,negated_conjecture,
coll(esk26_0,esk24_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_81,plain,
! [X860,X861,X862,X863] :
( ~ cong(X860,X862,X861,X862)
| ~ cong(X860,X863,X861,X863)
| perp(X860,X861,X862,X863) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_82,negated_conjecture,
( coll(X1,esk25_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_75]) ).
fof(c_0_83,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])]) ).
cnf(c_0_84,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_76]) ).
cnf(c_0_85,negated_conjecture,
midp(esk25_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79])]) ).
cnf(c_0_86,negated_conjecture,
coll(esk24_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_80]) ).
cnf(c_0_87,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_88,negated_conjecture,
coll(esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_82,c_0_75]) ).
fof(c_0_89,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_90,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_91,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( coll(X1,esk25_0,esk24_0)
| ~ coll(esk24_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
( perp(esk25_0,esk25_0,X1,esk21_0)
| ~ cong(esk25_0,X1,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_78]) ).
fof(c_0_94,plain,
! [X996,X997,X998,X999,X1000,X1001,X1002] :
( ~ midp(X1000,X996,X997)
| ~ midp(X1001,X998,X999)
| ~ coll(X998,X996,X997)
| ~ coll(X999,X996,X997)
| midp(esk7_2(X996,X1002),X996,X1002) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX7])])])])]) ).
cnf(c_0_95,negated_conjecture,
coll(esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_88]) ).
cnf(c_0_96,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_97,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
coll(esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_92,c_0_86]) ).
fof(c_0_99,plain,
! [X587,X588,X589,X590,X591,X592] :
( ~ para(X587,X588,X589,X590)
| ~ perp(X589,X590,X591,X592)
| perp(X587,X588,X591,X592) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
cnf(c_0_100,negated_conjecture,
perp(esk25_0,esk25_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_93,c_0_91]) ).
fof(c_0_101,plain,
! [X898,X899,X900,X901,X902] :
( ~ midp(X902,X898,X899)
| ~ midp(X902,X900,X901)
| para(X898,X900,X899,X901) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
cnf(c_0_102,plain,
( midp(esk7_2(X2,X7),X2,X7)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ coll(X5,X2,X3)
| ~ coll(X6,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_103,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_58,c_0_95]) ).
cnf(c_0_104,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_105,negated_conjecture,
coll(esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_98]) ).
cnf(c_0_106,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_99]) ).
cnf(c_0_107,negated_conjecture,
perp(esk24_0,esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_46,c_0_100]) ).
cnf(c_0_108,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_109,negated_conjecture,
( midp(esk7_2(X1,X2),X1,X2)
| ~ midp(X3,X1,X4)
| ~ coll(esk21_0,X1,X4)
| ~ coll(esk22_0,X1,X4) ),
inference(spm,[status(thm)],[c_0_102,c_0_43]) ).
cnf(c_0_110,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_103]) ).
cnf(c_0_111,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_95]) ).
cnf(c_0_112,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_90,c_0_104]) ).
cnf(c_0_113,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_59,c_0_105]) ).
cnf(c_0_114,negated_conjecture,
( perp(X1,X2,esk25_0,esk25_0)
| ~ para(X1,X2,esk24_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_115,negated_conjecture,
( para(X1,esk22_0,X2,esk21_0)
| ~ midp(esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_43]) ).
cnf(c_0_116,negated_conjecture,
( midp(esk7_2(esk25_0,X1),esk25_0,X1)
| ~ midp(X2,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_111])]) ).
cnf(c_0_117,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_112]),c_0_113])]) ).
cnf(c_0_118,negated_conjecture,
( perp(X1,esk22_0,esk25_0,esk25_0)
| ~ midp(esk25_0,X1,esk24_0) ),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_119,negated_conjecture,
midp(esk7_2(esk25_0,X1),esk25_0,X1),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_120,negated_conjecture,
perp(esk24_0,esk22_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_76]),c_0_85])]) ).
fof(c_0_121,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_122,negated_conjecture,
( para(X1,esk25_0,X2,X3)
| ~ midp(esk7_2(esk25_0,X3),X1,X2) ),
inference(spm,[status(thm)],[c_0_108,c_0_119]) ).
cnf(c_0_123,negated_conjecture,
perp(esk25_0,esk25_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_120]) ).
cnf(c_0_124,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_125,negated_conjecture,
para(esk25_0,esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_122,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
coll(esk26_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_66,c_0_80]) ).
fof(c_0_127,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_128,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_129,negated_conjecture,
( perp(X1,X2,esk24_0,esk22_0)
| ~ para(X1,X2,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_106,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
para(X1,X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
( coll(X1,esk24_0,esk26_0)
| ~ coll(esk26_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_126]) ).
fof(c_0_132,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_133,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_127]) ).
cnf(c_0_134,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_135,negated_conjecture,
perp(X1,X1,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_136,negated_conjecture,
coll(esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_131,c_0_126]) ).
cnf(c_0_137,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_132]) ).
cnf(c_0_138,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( para(X1,X2,esk24_0,esk22_0)
| ~ perp(X1,X2,X3,X3) ),
inference(spm,[status(thm)],[c_0_44,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
perp(esk24_0,esk22_0,X1,X1),
inference(spm,[status(thm)],[c_0_46,c_0_135]) ).
cnf(c_0_141,negated_conjecture,
coll(esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_66,c_0_136]) ).
cnf(c_0_142,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_143,negated_conjecture,
para(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
coll(esk24_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_92,c_0_141]) ).
cnf(c_0_145,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_146,negated_conjecture,
coll(esk25_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_59,c_0_144]) ).
fof(c_0_147,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_148,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_149,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_145]),c_0_145])]) ).
cnf(c_0_150,negated_conjecture,
midp(esk25_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_91]),c_0_146])]) ).
fof(c_0_151,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_152,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_147]) ).
cnf(c_0_153,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_148]) ).
cnf(c_0_154,negated_conjecture,
midp(esk25_0,X1,X1),
inference(spm,[status(thm)],[c_0_149,c_0_150]) ).
cnf(c_0_155,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_156,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_152,c_0_153]) ).
cnf(c_0_157,negated_conjecture,
cong(esk25_0,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_55,c_0_154]) ).
cnf(c_0_158,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_155,c_0_145]) ).
cnf(c_0_159,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_156,c_0_157]),c_0_154])]) ).
cnf(c_0_160,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_59,c_0_158]) ).
fof(c_0_161,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_162,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_163,negated_conjecture,
cong(esk25_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_159,c_0_154]) ).
fof(c_0_164,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_165,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_160]) ).
cnf(c_0_166,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_161]) ).
cnf(c_0_167,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_168,negated_conjecture,
cong(X1,X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_96,c_0_163]) ).
cnf(c_0_169,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_164]) ).
cnf(c_0_170,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_165]),c_0_165])]) ).
cnf(c_0_171,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
cong(X1,X1,X1,esk25_0),
inference(spm,[status(thm)],[c_0_90,c_0_168]) ).
cnf(c_0_173,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_169,c_0_170])]) ).
cnf(c_0_174,negated_conjecture,
para(X1,X1,X1,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_145])]) ).
cnf(c_0_175,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_173,c_0_145]) ).
cnf(c_0_176,negated_conjecture,
( midp(X1,X2,esk25_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_174]) ).
cnf(c_0_177,negated_conjecture,
midp(X1,esk25_0,X1),
inference(spm,[status(thm)],[c_0_175,c_0_154]) ).
fof(c_0_178,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_179,negated_conjecture,
midp(X1,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
fof(c_0_180,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_181,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_178]) ).
cnf(c_0_182,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_149,c_0_179]) ).
cnf(c_0_183,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_184,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_169,c_0_181]) ).
cnf(c_0_185,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_175,c_0_182]) ).
cnf(c_0_186,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_183,c_0_145]) ).
cnf(c_0_187,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_184,c_0_170])]) ).
cnf(c_0_188,negated_conjecture,
midp(X1,X2,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_185])]) ).
cnf(c_0_189,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_186]) ).
fof(c_0_190,plain,
! [X808,X809,X810,X811,X812] :
( ~ midp(X811,X808,X809)
| ~ midp(X812,X808,X810)
| para(X811,X812,X809,X810) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_191,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_188])]) ).
cnf(c_0_192,negated_conjecture,
midp(esk25_0,X1,X2),
inference(spm,[status(thm)],[c_0_189,c_0_188]) ).
fof(c_0_193,plain,
! [X638,X639,X640,X641,X642,X643,X644,X645] :
( ~ eqangle(X638,X639,X640,X641,X642,X643,X644,X645)
| eqangle(X642,X643,X644,X645,X638,X639,X640,X641) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD20])]) ).
cnf(c_0_194,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_195,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_191,c_0_192]) ).
cnf(c_0_196,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_193]) ).
fof(c_0_197,plain,
! [X646,X647,X648,X649,X650,X651,X652,X653] :
( ~ eqangle(X646,X647,X648,X649,X650,X651,X652,X653)
| eqangle(X646,X647,X650,X651,X648,X649,X652,X653) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
cnf(c_0_198,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_195]),c_0_195])]) ).
cnf(c_0_199,plain,
( eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| ~ para(X5,X6,X1,X2) ),
inference(spm,[status(thm)],[c_0_196,c_0_134]) ).
fof(c_0_200,plain,
! [X654,X655,X656,X657,X658,X659,X660,X661,X662,X663,X664,X665] :
( ~ eqangle(X654,X655,X656,X657,X658,X659,X660,X661)
| ~ eqangle(X658,X659,X660,X661,X662,X663,X664,X665)
| eqangle(X654,X655,X656,X657,X662,X663,X664,X665) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD22])]) ).
cnf(c_0_201,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_197]) ).
cnf(c_0_202,plain,
eqangle(X1,X2,X3,X4,X1,X2,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_138,c_0_198])]) ).
cnf(c_0_203,plain,
eqangle(X1,X2,X3,X4,X5,X6,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_198])]) ).
cnf(c_0_204,plain,
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ eqangle(X5,X6,X7,X8,X9,X10,X11,X12) ),
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_205,plain,
eqangle(X1,X2,X1,X2,X3,X4,X5,X6),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_206,plain,
eqangle(X1,X2,X3,X4,X5,X6,X5,X6),
inference(spm,[status(thm)],[c_0_201,c_0_203]) ).
cnf(c_0_207,negated_conjecture,
~ eqangle(esk21_0,esk23_0,esk23_0,esk26_0,esk26_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_208,plain,
eqangle(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206])]) ).
cnf(c_0_209,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_208])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO597+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
% 0.15/0.33 % Computer : n022.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:04:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.95/1.94 % Version : CSE_E---1.7
% 1.95/1.94 % Problem : theBenchmark.p
% 1.95/1.94 % SZS status Theorem for theBenchmark.p
% 1.95/1.94 % SZS output start CNFRefutation
% See solution above
% 1.95/1.94 % Total time : 1.369s
%------------------------------------------------------------------------------