%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO542+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 : n010.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 04:21:28 PM UTC 2026
% Result : Theorem 2.13s 1.94s
% Output : CNFRefutation 2.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 35
% Syntax : Number of formulae : 276 ( 106 unt; 0 def)
% Number of atoms : 536 ( 0 equ)
% Maximal formula atoms : 9 ( 1 avg)
% Number of connectives : 454 ( 194 ~; 191 |; 33 &)
% ( 0 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-6 aty)
% Number of variables : 657 ( 34 sgn 330 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
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(exemplo6GDDFULL012002,conjecture,
! [X1,X2,X3,X19,X20,X21,X8] :
( ( midp(X19,X3,X2)
& midp(X20,X3,X1)
& midp(X21,X2,X1)
& circle(X8,X1,X2,X3) )
=> perp(X8,X19,X20,X21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012002) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(ruleD53,axiom,
! [X1,X2,X3,X8] :
( ( circle(X8,X1,X2,X3)
& coll(X8,X1,X3) )
=> perp(X1,X2,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD53) ).
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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(ruleD52,axiom,
! [X1,X2,X3,X7] :
( ( perp(X1,X2,X2,X3)
& midp(X7,X1,X3) )
=> cong(X1,X7,X2,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).
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(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(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(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(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(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(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(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(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(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(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(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(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(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(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(c_0_35,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])]) ).
fof(c_0_36,plain,
! [X1025,X1026,X1027,X1028] :
( ~ circle(X1028,X1025,X1026,X1027)
| perp(esk12_4(X1025,X1026,X1027,X1028),X1025,X1025,X1028) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_37,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])]) ).
cnf(c_0_38,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_40,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
fof(c_0_41,negated_conjecture,
~ ! [X1,X2,X3,X19,X20,X21,X8] :
( ( midp(X19,X3,X2)
& midp(X20,X3,X1)
& midp(X21,X2,X1)
& circle(X8,X1,X2,X3) )
=> perp(X8,X19,X20,X21) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012002]) ).
cnf(c_0_42,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_38,c_0_39]) ).
cnf(c_0_43,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
fof(c_0_44,negated_conjecture,
( midp(esk24_0,esk23_0,esk22_0)
& midp(esk25_0,esk23_0,esk21_0)
& midp(esk26_0,esk22_0,esk21_0)
& circle(esk27_0,esk21_0,esk22_0,esk23_0)
& ~ perp(esk27_0,esk24_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).
fof(c_0_45,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_46,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_47,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
circle(esk27_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_49,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_50,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
midp(esk25_0,esk23_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_52,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_53,negated_conjecture,
para(esk21_0,esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_54,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_55,negated_conjecture,
midp(esk26_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_56,plain,
! [X850,X851,X852,X853] :
( ~ circle(X853,X850,X851,X852)
| ~ coll(X853,X850,X852)
| perp(X850,X851,X851,X852) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD53])]) ).
cnf(c_0_57,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_58,negated_conjecture,
coll(esk25_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_59,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_60,negated_conjecture,
coll(esk21_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_62,negated_conjecture,
coll(esk26_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_50,c_0_55]) ).
fof(c_0_63,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_64,plain,
( perp(X2,X3,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,negated_conjecture,
coll(esk23_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_66,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,negated_conjecture,
coll(esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_57,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( coll(X1,esk21_0,esk26_0)
| ~ coll(esk26_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_70,negated_conjecture,
( perp(esk21_0,esk22_0,esk22_0,esk23_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_64,c_0_48]) ).
cnf(c_0_71,negated_conjecture,
( coll(X1,esk21_0,esk23_0)
| ~ coll(esk23_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
coll(esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_73,plain,
! [X595,X596,X597] :
( ~ midp(X597,X596,X595)
| midp(X597,X595,X596) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_74,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_68,c_0_62]) ).
cnf(c_0_75,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
coll(esk21_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_71,c_0_65]) ).
cnf(c_0_77,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk27_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_72]) ).
cnf(c_0_78,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( coll(X1,esk26_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
fof(c_0_80,plain,
! [X846,X847,X848,X849] :
( ~ perp(X846,X847,X847,X848)
| ~ midp(X849,X846,X848)
| cong(X846,X849,X847,X849) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD52])]) ).
cnf(c_0_81,negated_conjecture,
( perp(esk23_0,esk22_0,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_77,c_0_72]) ).
cnf(c_0_84,negated_conjecture,
midp(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_55]) ).
cnf(c_0_85,negated_conjecture,
coll(esk23_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_79,c_0_76]) ).
cnf(c_0_86,plain,
( cong(X1,X4,X2,X4)
| ~ perp(X1,X2,X2,X3)
| ~ midp(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( perp(esk23_0,esk22_0,esk22_0,esk21_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
coll(esk27_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
coll(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_50,c_0_84]) ).
cnf(c_0_90,negated_conjecture,
coll(esk23_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_66,c_0_85]) ).
cnf(c_0_91,negated_conjecture,
( coll(X1,esk21_0,esk25_0)
| ~ coll(esk25_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_58]) ).
cnf(c_0_92,negated_conjecture,
( cong(esk23_0,X1,esk22_0,X1)
| ~ midp(X1,esk23_0,esk21_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
coll(esk27_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
coll(esk21_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_57,c_0_89]) ).
cnf(c_0_95,negated_conjecture,
coll(esk21_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_57,c_0_90]) ).
cnf(c_0_96,negated_conjecture,
coll(esk21_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_91,c_0_58]) ).
fof(c_0_97,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_98,negated_conjecture,
( cong(esk23_0,X1,esk22_0,X1)
| ~ midp(X1,esk23_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_99,negated_conjecture,
( coll(X1,esk22_0,esk21_0)
| ~ coll(esk21_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_94]) ).
cnf(c_0_100,negated_conjecture,
coll(esk21_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_66,c_0_95]) ).
fof(c_0_101,plain,
! [X589,X590,X591,X592,X593,X594] :
( ~ para(X589,X590,X591,X592)
| ~ perp(X591,X592,X593,X594)
| perp(X589,X590,X593,X594) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
fof(c_0_102,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_103,negated_conjecture,
coll(esk25_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_79,c_0_96]) ).
fof(c_0_104,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_105,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_106,negated_conjecture,
cong(esk23_0,esk25_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_98,c_0_51]) ).
cnf(c_0_107,negated_conjecture,
coll(esk23_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_65]) ).
cnf(c_0_108,negated_conjecture,
coll(esk23_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_109,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_110,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_102]) ).
cnf(c_0_111,negated_conjecture,
coll(esk25_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_66,c_0_103]) ).
cnf(c_0_112,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_113,negated_conjecture,
cong(esk23_0,esk25_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_114,negated_conjecture,
( coll(X1,esk25_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_107]) ).
cnf(c_0_115,negated_conjecture,
coll(esk23_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_66,c_0_108]) ).
cnf(c_0_116,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ para(X1,X2,esk23_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_81]) ).
cnf(c_0_117,negated_conjecture,
( para(X1,esk26_0,X2,esk22_0)
| ~ midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_84]) ).
cnf(c_0_118,negated_conjecture,
coll(esk21_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_57,c_0_111]) ).
cnf(c_0_119,negated_conjecture,
( perp(esk22_0,esk21_0,esk23_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_87]) ).
fof(c_0_120,plain,
! [X900,X901,X902,X903,X904] :
( ~ midp(X904,X900,X901)
| ~ midp(X904,X902,X903)
| para(X900,X902,X901,X903) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_121,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_122,negated_conjecture,
cong(esk25_0,esk22_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_123,negated_conjecture,
coll(esk22_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_124,negated_conjecture,
( perp(esk22_0,esk23_0,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_70]) ).
fof(c_0_125,plain,
! [X858,X859,X860,X861] :
( ~ midp(X860,X858,X859)
| ~ perp(X861,X860,X858,X859)
| cong(X861,X858,X861,X859) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_126,negated_conjecture,
( perp(X1,esk26_0,esk21_0,esk22_0)
| ~ midp(X1,esk21_0,esk23_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_127,negated_conjecture,
midp(esk25_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_78,c_0_51]) ).
cnf(c_0_128,negated_conjecture,
coll(esk21_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_118]) ).
cnf(c_0_129,negated_conjecture,
( perp(X1,X2,esk23_0,esk22_0)
| ~ para(X1,X2,esk22_0,esk21_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_119]) ).
cnf(c_0_130,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_120]) ).
cnf(c_0_131,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_132,negated_conjecture,
cong(esk25_0,esk22_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_105,c_0_122]) ).
cnf(c_0_133,negated_conjecture,
coll(esk25_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_57,c_0_123]) ).
cnf(c_0_134,negated_conjecture,
( perp(esk22_0,esk23_0,esk22_0,esk21_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_124]) ).
cnf(c_0_135,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_136,negated_conjecture,
( perp(esk25_0,esk26_0,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_137,negated_conjecture,
coll(esk25_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_99,c_0_128]) ).
cnf(c_0_138,negated_conjecture,
( perp(X1,X2,esk23_0,esk22_0)
| ~ para(X1,X2,esk22_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_129,c_0_93])]) ).
cnf(c_0_139,negated_conjecture,
( para(X1,esk23_0,X2,esk21_0)
| ~ midp(esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_51]) ).
cnf(c_0_140,negated_conjecture,
midp(esk25_0,esk22_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_133])]) ).
cnf(c_0_141,negated_conjecture,
( perp(X1,X2,esk22_0,esk21_0)
| ~ para(X1,X2,esk22_0,esk23_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_134]) ).
cnf(c_0_142,negated_conjecture,
( cong(esk25_0,esk21_0,esk25_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_84])]) ).
cnf(c_0_143,negated_conjecture,
coll(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_66,c_0_137]) ).
cnf(c_0_144,negated_conjecture,
( perp(X1,esk23_0,esk23_0,esk22_0)
| ~ midp(esk25_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
midp(esk25_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_140]) ).
cnf(c_0_146,negated_conjecture,
( perp(X1,X2,esk21_0,esk22_0)
| ~ para(X1,X2,esk22_0,esk23_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_109,c_0_124]) ).
cnf(c_0_147,negated_conjecture,
( para(X1,esk25_0,X2,esk23_0)
| ~ midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_110,c_0_127]) ).
cnf(c_0_148,negated_conjecture,
( perp(X1,X2,esk22_0,esk21_0)
| ~ para(X1,X2,esk22_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_93])]) ).
cnf(c_0_149,negated_conjecture,
( para(X1,esk21_0,X2,esk23_0)
| ~ midp(esk25_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_127]) ).
cnf(c_0_150,negated_conjecture,
( midp(esk25_0,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_142]),c_0_143])]) ).
fof(c_0_151,plain,
! [X991,X992,X993,X994,X995,X996] :
( ( midp(esk6_6(X991,X992,X993,X994,X995,X996),X991,X994)
| ~ midp(X995,X991,X992)
| ~ midp(X996,X993,X994) )
& ( para(esk6_6(X991,X992,X993,X994,X995,X996),X995,X992,X994)
| ~ midp(X995,X991,X992)
| ~ midp(X996,X993,X994) )
& ( para(esk6_6(X991,X992,X993,X994,X995,X996),X996,X991,X993)
| ~ midp(X995,X991,X992)
| ~ midp(X996,X993,X994) ) ),
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_152,negated_conjecture,
perp(esk23_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_153,negated_conjecture,
coll(esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_114,c_0_107]) ).
cnf(c_0_154,negated_conjecture,
( perp(X1,esk25_0,esk21_0,esk22_0)
| ~ midp(X1,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
( perp(X1,esk21_0,esk22_0,esk21_0)
| ~ midp(esk25_0,X1,esk22_0) ),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
cnf(c_0_156,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_93])]) ).
cnf(c_0_157,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_158,negated_conjecture,
( cong(esk23_0,X1,esk23_0,X1)
| ~ midp(X1,esk23_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_152]) ).
cnf(c_0_159,negated_conjecture,
coll(esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_66,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
( perp(esk25_0,esk25_0,esk21_0,esk22_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_154,c_0_150]) ).
cnf(c_0_161,negated_conjecture,
perp(esk21_0,esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_162,plain,
( para(X1,X2,X3,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| ~ midp(X8,X6,X4)
| ~ midp(X7,X2,X5) ),
inference(spm,[status(thm)],[c_0_130,c_0_157]) ).
cnf(c_0_163,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_157]) ).
cnf(c_0_164,negated_conjecture,
cong(esk23_0,esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_158,c_0_145]) ).
cnf(c_0_165,negated_conjecture,
coll(esk23_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_159]) ).
cnf(c_0_166,negated_conjecture,
( perp(esk25_0,esk25_0,esk22_0,esk21_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_69,c_0_160]) ).
cnf(c_0_167,negated_conjecture,
perp(esk21_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_69,c_0_161]) ).
cnf(c_0_168,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_162,c_0_163]) ).
cnf(c_0_169,negated_conjecture,
midp(esk23_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_164]),c_0_165])]) ).
cnf(c_0_170,negated_conjecture,
( perp(esk22_0,esk21_0,esk25_0,esk25_0)
| ~ coll(esk27_0,esk21_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_166]) ).
cnf(c_0_171,negated_conjecture,
( cong(esk21_0,X1,esk21_0,X1)
| ~ midp(X1,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_86,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
coll(esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_91,c_0_159]) ).
fof(c_0_173,plain,
! [X561,X562,X563,X564] :
( ~ para(X561,X562,X563,X564)
| para(X561,X562,X564,X563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_174,negated_conjecture,
( para(esk25_0,X1,X1,esk25_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_175,negated_conjecture,
perp(esk22_0,esk21_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_93])]) ).
cnf(c_0_176,negated_conjecture,
cong(esk21_0,esk25_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_171,c_0_156]) ).
cnf(c_0_177,negated_conjecture,
coll(esk21_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_57,c_0_172]) ).
fof(c_0_178,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_179,negated_conjecture,
( para(esk22_0,X1,X1,esk22_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_168,c_0_84]) ).
fof(c_0_180,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_181,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_182,negated_conjecture,
para(esk25_0,esk22_0,esk22_0,esk25_0),
inference(spm,[status(thm)],[c_0_174,c_0_55]) ).
cnf(c_0_183,negated_conjecture,
( cong(esk22_0,esk25_0,esk22_0,esk25_0)
| ~ midp(esk21_0,esk25_0,esk25_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_175]) ).
cnf(c_0_184,negated_conjecture,
midp(esk21_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_176]),c_0_177])]) ).
cnf(c_0_185,negated_conjecture,
( coll(X1,esk25_0,esk25_0)
| ~ coll(esk25_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_159]) ).
cnf(c_0_186,negated_conjecture,
coll(esk25_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_66,c_0_133]) ).
fof(c_0_187,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_188,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_189,plain,
! [X565,X566,X567,X568] :
( ~ para(X565,X566,X567,X568)
| para(X567,X568,X565,X566) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
fof(c_0_190,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_191,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_192,negated_conjecture,
( coll(X1,esk22_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_89]) ).
cnf(c_0_193,negated_conjecture,
para(esk22_0,esk23_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_179,c_0_51]) ).
cnf(c_0_194,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_180]) ).
cnf(c_0_195,negated_conjecture,
para(esk25_0,esk22_0,esk25_0,esk22_0),
inference(spm,[status(thm)],[c_0_181,c_0_182]) ).
cnf(c_0_196,negated_conjecture,
cong(esk22_0,esk25_0,esk22_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).
cnf(c_0_197,negated_conjecture,
coll(esk22_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_185,c_0_186]) ).
fof(c_0_198,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_199,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_187]) ).
cnf(c_0_200,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_201,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_202,negated_conjecture,
para(esk21_0,esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_181,c_0_53]) ).
cnf(c_0_203,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_204,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_191,c_0_84]) ).
cnf(c_0_205,negated_conjecture,
coll(esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_192,c_0_89]) ).
cnf(c_0_206,negated_conjecture,
para(esk22_0,esk23_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_181,c_0_193]) ).
cnf(c_0_207,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk25_0,esk25_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_195])]) ).
cnf(c_0_208,negated_conjecture,
midp(esk22_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_196]),c_0_197])]) ).
cnf(c_0_209,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_210,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_199,c_0_200]) ).
cnf(c_0_211,negated_conjecture,
para(esk27_0,esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_201,c_0_202]) ).
cnf(c_0_212,negated_conjecture,
( cong(X1,X2,esk26_0,esk22_0)
| ~ cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_203,c_0_204]) ).
cnf(c_0_213,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_191,c_0_55]) ).
cnf(c_0_214,negated_conjecture,
coll(esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_66,c_0_205]) ).
fof(c_0_215,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_216,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_217,negated_conjecture,
perp(esk23_0,esk22_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_40,c_0_152]) ).
cnf(c_0_218,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_206]),c_0_206])]) ).
cnf(c_0_219,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_207,c_0_208]) ).
cnf(c_0_220,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_209,c_0_210]) ).
cnf(c_0_221,negated_conjecture,
para(esk27_0,esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_181,c_0_211]) ).
cnf(c_0_222,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_212,c_0_213]) ).
cnf(c_0_223,negated_conjecture,
coll(esk26_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_57,c_0_214]) ).
cnf(c_0_224,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_215]) ).
cnf(c_0_225,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_216]) ).
cnf(c_0_226,negated_conjecture,
( cong(esk23_0,esk23_0,esk23_0,esk23_0)
| ~ midp(esk22_0,esk23_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_217]) ).
cnf(c_0_227,negated_conjecture,
midp(esk22_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_218,c_0_219]) ).
cnf(c_0_228,negated_conjecture,
midp(esk23_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_207,c_0_169]) ).
cnf(c_0_229,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_230,negated_conjecture,
midp(esk26_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_222]),c_0_223])]) ).
cnf(c_0_231,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_224,c_0_225]) ).
cnf(c_0_232,negated_conjecture,
cong(esk23_0,esk23_0,esk23_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_226,c_0_227])]) ).
cnf(c_0_233,negated_conjecture,
midp(esk23_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_218,c_0_228]) ).
cnf(c_0_234,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_229]),c_0_229])]) ).
cnf(c_0_235,negated_conjecture,
midp(esk26_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_218,c_0_230]) ).
cnf(c_0_236,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_231,c_0_232]),c_0_233])]) ).
cnf(c_0_237,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_234,c_0_235]) ).
fof(c_0_238,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_239,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])]) ).
cnf(c_0_240,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_241,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_52,c_0_229]) ).
cnf(c_0_242,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_238]) ).
cnf(c_0_243,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_244,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_112,c_0_240]) ).
cnf(c_0_245,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_57,c_0_241]) ).
cnf(c_0_246,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_242,c_0_243]) ).
cnf(c_0_247,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_105,c_0_244]) ).
cnf(c_0_248,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_245]) ).
cnf(c_0_249,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_247]),c_0_229])]) ).
cnf(c_0_250,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_248]),c_0_248])]) ).
cnf(c_0_251,negated_conjecture,
para(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_181,c_0_249]) ).
cnf(c_0_252,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_250])]) ).
cnf(c_0_253,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X2,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_251]),c_0_251])]) ).
cnf(c_0_254,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_252,c_0_247]) ).
cnf(c_0_255,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_253,c_0_254]) ).
cnf(c_0_256,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_234,c_0_255]) ).
cnf(c_0_257,negated_conjecture,
cong(X1,X2,X2,X2),
inference(spm,[status(thm)],[c_0_236,c_0_256]) ).
cnf(c_0_258,negated_conjecture,
cong(X1,X1,X2,X1),
inference(spm,[status(thm)],[c_0_112,c_0_257]) ).
fof(c_0_259,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_260,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_209,c_0_243]) ).
cnf(c_0_261,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_105,c_0_258]) ).
cnf(c_0_262,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_259]) ).
cnf(c_0_263,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_201,c_0_260]) ).
cnf(c_0_264,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_252,c_0_261]) ).
cnf(c_0_265,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_250])]) ).
cnf(c_0_266,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_261])]) ).
cnf(c_0_267,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_78,c_0_264]) ).
cnf(c_0_268,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_266]),c_0_267])]) ).
fof(c_0_269,plain,
! [X862,X863,X864,X865] :
( ~ cong(X862,X864,X863,X864)
| ~ cong(X862,X865,X863,X865)
| perp(X862,X863,X864,X865) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_270,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_268])]) ).
cnf(c_0_271,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_272,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_105,c_0_270]) ).
cnf(c_0_273,negated_conjecture,
~ perp(esk27_0,esk24_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_274,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_271,c_0_272]),c_0_272])]) ).
cnf(c_0_275,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_273,c_0_274])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO542+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n010.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 18:02:21 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 2.13/1.94 % Version : CSE_E---1.7
% 2.13/1.94 % Problem : theBenchmark.p
% 2.13/1.94 % SZS status Theorem for theBenchmark.p
% 2.13/1.94 % SZS output start CNFRefutation
% See solution above
% 2.13/1.95 % Total time : 1.372s
%------------------------------------------------------------------------------