%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:30:35 PM UTC 2026
% Result : Theorem 4.41s 1.06s
% Output : CNFRefutation 4.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 30
% Syntax : Number of formulae : 190 ( 64 unt; 0 def)
% Number of atoms : 404 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 359 ( 145 ~; 142 |; 41 &)
% ( 0 <=>; 31 =>; 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 : 579 ( 31 sgn 290 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0061,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( coll(X14,X1,X3)
& coll(X14,X2,X5)
& coll(X13,X4,X6)
& coll(X13,X1,X3)
& midp(X6,X2,X1)
& midp(X5,X3,X4)
& para(X1,X2,X3,X4)
& para(X2,X3,X1,X4) )
=> cong(X1,X13,X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0061) ).
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X3,X4,X5,X6)
& perp(X1,X2,X3,X4) )
=> 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(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(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD12,axiom,
! [X1,X2,X3,X8] :
( ( cong(X8,X1,X8,X3)
& cong(X8,X1,X8,X2) )
=> circle(X8,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).
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(X3,X4,X5,X6)
& cong(X1,X2,X3,X4) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
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(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X4)
& coll(X1,X2,X3) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X3,X4,X5,X6)
& para(X1,X2,X3,X4) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( para(X1,X4,X2,X3)
& para(X1,X3,X2,X4)
& midp(X7,X1,X2) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
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(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(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(ruleD67,axiom,
! [X1,X2,X3] :
( ( coll(X1,X2,X3)
& cong(X1,X2,X1,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X3,X4)
& midp(X7,X1,X2) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X17,X3,X4)
& midp(X7,X1,X2) )
=> ( para(X9,X17,X1,X3)
& para(X9,X7,X2,X4)
& midp(X9,X1,X4) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
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] :
( ( cong(X9,X10,X11,X12)
& eqratio(X1,X2,X3,X4,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(X17,X3,X4)
& midp(X7,X1,X2) )
=> 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] :
( ( para(X9,X10,X11,X12)
& eqangle(X1,X2,X3,X4,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] :
( ( coll(X6,X1,X3)
& para(X5,X6,X2,X3)
& midp(X5,X1,X2) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(c_0_30,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14] :
( ( coll(X14,X1,X3)
& coll(X14,X2,X5)
& coll(X13,X4,X6)
& coll(X13,X1,X3)
& midp(X6,X2,X1)
& midp(X5,X3,X4)
& para(X1,X2,X3,X4)
& para(X2,X3,X1,X4) )
=> cong(X1,X13,X13,X14) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0061]) ).
fof(c_0_31,plain,
! [X51,X52,X53,X54,X55,X56] :
( para(X51,X52,X55,X56)
| ~ perp(X53,X54,X55,X56)
| ~ perp(X51,X52,X53,X54) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])])]) ).
fof(c_0_32,plain,
! [X493,X494,X495,X496] :
( perp(esk12_4(X493,X494,X495,X496),X493,X493,X496)
| ~ circle(X496,X493,X494,X495) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])])]) ).
fof(c_0_33,plain,
! [X47,X48,X49,X50] :
( perp(X49,X50,X47,X48)
| ~ perp(X47,X48,X49,X50) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])])]) ).
fof(c_0_34,plain,
! [X389,X390,X391] :
( cong(X389,X390,X389,X391)
| ~ midp(X389,X390,X391) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])])]) ).
fof(c_0_35,negated_conjecture,
( ~ cong(esk21_0,esk27_0,esk27_0,esk28_0)
& coll(esk28_0,esk21_0,esk23_0)
& coll(esk28_0,esk22_0,esk25_0)
& coll(esk27_0,esk24_0,esk26_0)
& coll(esk27_0,esk21_0,esk23_0)
& midp(esk26_0,esk22_0,esk21_0)
& midp(esk25_0,esk23_0,esk24_0)
& para(esk21_0,esk22_0,esk23_0,esk24_0)
& para(esk22_0,esk23_0,esk21_0,esk24_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_36,plain,
! [X63,X64,X65] :
( midp(X65,X63,X64)
| ~ midp(X65,X64,X63) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])])]) ).
fof(c_0_37,plain,
! [X392,X393,X394] :
( coll(X392,X393,X394)
| ~ midp(X392,X393,X394) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])])]) ).
cnf(c_0_38,plain,
( ~ perp(X3,X4,X5,X6)
| ~ perp(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( ~ circle(X1,X2,X3,X4)
| perp(esk12_4(X2,X3,X4,X1),X2,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,plain,
( ~ perp(X1,X2,X3,X4)
| perp(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
fof(c_0_41,plain,
! [X66,X67,X68,X69] :
( circle(X69,X66,X67,X68)
| ~ cong(X69,X66,X69,X68)
| ~ cong(X69,X66,X69,X67) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD12])])]) ).
cnf(c_0_42,plain,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
midp(esk26_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_44,plain,
( ~ midp(X1,X2,X3)
| midp(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_45,plain,
! [X22,X23,X24] :
( coll(X23,X22,X24)
| ~ coll(X22,X23,X24) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])])]) ).
cnf(c_0_46,plain,
( ~ midp(X1,X2,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_47,plain,
( ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3)
| ~ circle(X4,X3,X5,X6)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_48,plain,
( ~ circle(X2,X1,X3,X4)
| perp(X1,X2,esk12_4(X1,X3,X4,X2),X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_39]) ).
cnf(c_0_49,plain,
( ~ cong(X1,X2,X1,X4)
| ~ cong(X1,X2,X1,X3)
| circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,negated_conjecture,
cong(esk26_0,esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_51,plain,
! [X144,X145,X146,X147,X148,X149] :
( cong(X144,X145,X148,X149)
| ~ cong(X146,X147,X148,X149)
| ~ cong(X144,X145,X146,X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])])]) ).
cnf(c_0_52,negated_conjecture,
midp(esk26_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_43]) ).
fof(c_0_53,plain,
! [X33,X34,X35,X36] :
( para(X35,X36,X33,X34)
| ~ para(X33,X34,X35,X36) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])])]) ).
fof(c_0_54,plain,
! [X25,X26,X27,X28] :
( coll(X27,X28,X25)
| ~ coll(X25,X26,X28)
| ~ coll(X25,X26,X27) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])])]) ).
fof(c_0_55,plain,
! [X19,X20,X21] :
( coll(X19,X21,X20)
| ~ coll(X19,X20,X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])])]) ).
cnf(c_0_56,plain,
( ~ coll(X1,X2,X3)
| coll(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,negated_conjecture,
coll(esk26_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_58,plain,
( ~ circle(X2,X1,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
( ~ cong(esk26_0,esk22_0,esk26_0,X1)
| circle(esk26_0,esk22_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_60,plain,
( ~ cong(X3,X4,X5,X6)
| ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
fof(c_0_62,plain,
! [X37,X38,X39,X40,X41,X42] :
( para(X37,X38,X41,X42)
| ~ para(X39,X40,X41,X42)
| ~ para(X37,X38,X39,X40) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])])]) ).
cnf(c_0_63,plain,
( ~ para(X1,X2,X3,X4)
| para(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_64,negated_conjecture,
para(esk21_0,esk22_0,esk23_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_65,plain,
( ~ coll(X1,X2,X4)
| ~ coll(X1,X2,X3)
| coll(X3,X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_66,plain,
( ~ coll(X1,X2,X3)
| coll(X1,X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_67,negated_conjecture,
coll(esk22_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_68,plain,
! [X373,X374,X375,X376,X377] :
( midp(X377,X375,X376)
| ~ para(X373,X376,X374,X375)
| ~ para(X373,X375,X374,X376)
| ~ midp(X377,X373,X374) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])])]) ).
cnf(c_0_69,negated_conjecture,
( ~ cong(esk26_0,esk22_0,esk26_0,X1)
| para(esk22_0,esk26_0,esk22_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_70,negated_conjecture,
( ~ cong(X1,X2,esk26_0,esk21_0)
| cong(X1,X2,esk26_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_71,plain,
( ~ para(X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,negated_conjecture,
para(esk23_0,esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( ~ coll(esk26_0,esk22_0,X1)
| coll(X1,esk21_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_57]) ).
cnf(c_0_74,negated_conjecture,
coll(esk27_0,esk24_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_75,plain,
! [X136,X137,X138,X139] :
( cong(X136,X137,X139,X138)
| ~ cong(X136,X137,X138,X139) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])])]) ).
cnf(c_0_76,negated_conjecture,
coll(esk22_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,plain,
( ~ para(X2,X5,X3,X4)
| ~ para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_78,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_69,c_0_70]),c_0_50])]) ).
cnf(c_0_79,negated_conjecture,
( ~ para(X1,X2,esk23_0,esk24_0)
| para(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_73,c_0_57]) ).
cnf(c_0_81,negated_conjecture,
( ~ coll(esk27_0,esk24_0,X1)
| coll(X1,esk26_0,esk27_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_74]) ).
fof(c_0_82,plain,
! [X29,X30,X31,X32] :
( para(X29,X30,X32,X31)
| ~ para(X29,X30,X31,X32) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])])]) ).
fof(c_0_83,plain,
! [X140,X141,X142,X143] :
( cong(X142,X143,X140,X141)
| ~ cong(X140,X141,X142,X143) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])])]) ).
cnf(c_0_84,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_85,negated_conjecture,
( ~ coll(esk22_0,esk21_0,X1)
| coll(X1,esk26_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_76]) ).
cnf(c_0_86,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_77,c_0_78]),c_0_78])]) ).
cnf(c_0_87,negated_conjecture,
para(esk21_0,esk22_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_79,c_0_64]) ).
fof(c_0_88,plain,
! [X386,X387,X388] :
( midp(X386,X387,X388)
| ~ coll(X386,X387,X388)
| ~ cong(X386,X387,X386,X388) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])])]) ).
cnf(c_0_89,negated_conjecture,
( ~ cong(X1,X2,esk26_0,esk22_0)
| cong(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_50]) ).
cnf(c_0_90,negated_conjecture,
coll(esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
coll(esk26_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_81,c_0_74]) ).
cnf(c_0_92,plain,
( ~ para(X1,X2,X3,X4)
| para(X1,X2,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_93,plain,
( ~ cong(X1,X2,X3,X4)
| cong(X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_83]) ).
cnf(c_0_94,negated_conjecture,
cong(esk26_0,esk22_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_84,c_0_50]) ).
cnf(c_0_95,negated_conjecture,
coll(esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_85,c_0_76]) ).
fof(c_0_96,plain,
! [X368,X369,X370,X371,X372] :
( para(X368,X370,X369,X371)
| ~ midp(X372,X370,X371)
| ~ midp(X372,X368,X369) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])])]) ).
fof(c_0_97,plain,
! [X459,X460,X461,X462,X463,X464] :
( ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X464,X459,X461) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| para(esk6_6(X459,X460,X461,X462,X463,X464),X463,X460,X462) )
& ( ~ midp(X464,X461,X462)
| ~ midp(X463,X459,X460)
| midp(esk6_6(X459,X460,X461,X462,X463,X464),X459,X462) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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_98,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| cong(X1,esk26_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_42,c_0_86]) ).
cnf(c_0_99,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_87]),c_0_87])]) ).
cnf(c_0_100,plain,
( ~ coll(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_101,negated_conjecture,
cong(esk26_0,esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_89,c_0_61]) ).
cnf(c_0_102,negated_conjecture,
coll(esk26_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_56,c_0_90]) ).
cnf(c_0_103,negated_conjecture,
coll(esk26_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_66,c_0_91]) ).
cnf(c_0_104,negated_conjecture,
para(esk23_0,esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_92,c_0_72]) ).
cnf(c_0_105,negated_conjecture,
para(esk22_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_92,c_0_78]) ).
cnf(c_0_106,negated_conjecture,
cong(esk21_0,esk26_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_107,negated_conjecture,
coll(esk26_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_66,c_0_95]) ).
cnf(c_0_108,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X1,X2,X3)
| para(X2,X4,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_109,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| midp(esk6_6(X1,X2,X3,X4,X5,X6),X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_110,negated_conjecture,
( ~ midp(X1,esk21_0,esk21_0)
| cong(X1,esk26_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_111,negated_conjecture,
midp(esk26_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_112,negated_conjecture,
( ~ coll(esk26_0,esk27_0,X1)
| coll(X1,esk26_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_65,c_0_103]) ).
cnf(c_0_113,negated_conjecture,
para(esk22_0,esk21_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_63,c_0_104]) ).
cnf(c_0_114,negated_conjecture,
para(esk26_0,esk22_0,esk22_0,esk26_0),
inference(spm,[status(thm)],[c_0_63,c_0_105]) ).
cnf(c_0_115,negated_conjecture,
cong(esk21_0,esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_89,c_0_106]) ).
cnf(c_0_116,negated_conjecture,
coll(esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_73,c_0_107]) ).
fof(c_0_117,plain,
! [X100,X101,X102,X103,X104,X105,X106,X107] :
( eqangle(X102,X103,X100,X101,X106,X107,X104,X105)
| ~ eqangle(X100,X101,X102,X103,X104,X105,X106,X107) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])])]) ).
fof(c_0_118,plain,
! [X254,X255,X256,X257,X258,X259] :
( eqangle(X254,X255,X258,X259,X256,X257,X258,X259)
| ~ para(X254,X255,X256,X257) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])])]) ).
cnf(c_0_119,plain,
( ~ midp(X7,X2,X5)
| ~ midp(X8,X6,X4)
| ~ midp(esk6_6(X2,X5,X6,X4,X7,X8),X1,X3)
| para(X1,X2,X3,X4) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_120,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_121,negated_conjecture,
coll(esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_112,c_0_103]) ).
cnf(c_0_122,negated_conjecture,
para(esk22_0,esk21_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_79,c_0_113]) ).
cnf(c_0_123,negated_conjecture,
para(esk26_0,esk22_0,esk26_0,esk22_0),
inference(spm,[status(thm)],[c_0_92,c_0_114]) ).
cnf(c_0_124,negated_conjecture,
cong(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_84,c_0_115]) ).
cnf(c_0_125,negated_conjecture,
coll(esk21_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_56,c_0_116]) ).
fof(c_0_126,plain,
! [X248,X249,X250,X251,X252,X253] :
( para(X248,X249,X250,X251)
| ~ eqangle(X248,X249,X252,X253,X250,X251,X252,X253) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])])]) ).
cnf(c_0_127,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| eqangle(X3,X4,X1,X2,X7,X8,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_117]) ).
cnf(c_0_128,plain,
( ~ para(X1,X2,X3,X4)
| eqangle(X1,X2,X5,X6,X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
cnf(c_0_129,plain,
( ~ midp(X5,X1,X6)
| ~ midp(X3,X4,X2)
| para(X1,X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_119,c_0_109]) ).
cnf(c_0_130,negated_conjecture,
midp(esk26_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_120]),c_0_121])]) ).
cnf(c_0_131,negated_conjecture,
para(esk22_0,esk21_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_92,c_0_122]) ).
cnf(c_0_132,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_77,c_0_123]),c_0_123])]) ).
cnf(c_0_133,negated_conjecture,
midp(esk21_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_124]),c_0_125])]) ).
cnf(c_0_134,plain,
( ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4)
| para(X1,X2,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_126]) ).
cnf(c_0_135,plain,
( ~ para(X3,X4,X5,X6)
| eqangle(X1,X2,X3,X4,X1,X2,X5,X6) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_136,negated_conjecture,
( ~ midp(X2,X1,X3)
| para(X1,X1,esk26_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
fof(c_0_137,plain,
! [X425,X426,X427,X428,X429,X430,X431,X432] :
( cong(X425,X426,X427,X428)
| ~ cong(X429,X430,X431,X432)
| ~ eqratio(X425,X426,X427,X428,X429,X430,X431,X432) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])])]) ).
fof(c_0_138,plain,
! [X395,X396,X397,X398,X399,X400] :
( eqratio(X399,X395,X395,X396,X400,X397,X397,X398)
| ~ midp(X400,X397,X398)
| ~ midp(X399,X395,X396) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])])]) ).
cnf(c_0_139,negated_conjecture,
( ~ midp(X1,esk22_0,esk22_0)
| midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_131]),c_0_131])]) ).
cnf(c_0_140,negated_conjecture,
midp(esk21_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_141,plain,
( ~ para(X3,X4,X3,X4)
| para(X1,X2,X1,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_142,negated_conjecture,
para(esk26_0,esk26_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_136,c_0_130]) ).
fof(c_0_143,plain,
! [X383,X384,X385] :
( coll(X383,X384,X385)
| ~ para(X383,X384,X383,X385) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])])]) ).
cnf(c_0_144,plain,
( ~ cong(X5,X6,X7,X8)
| ~ eqratio(X1,X2,X3,X4,X5,X6,X7,X8)
| cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_145,plain,
( ~ midp(X4,X5,X6)
| ~ midp(X1,X2,X3)
| eqratio(X1,X2,X2,X3,X4,X5,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_146,negated_conjecture,
midp(esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_147,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_148,plain,
( ~ para(X1,X2,X1,X3)
| coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_143]) ).
cnf(c_0_149,plain,
( ~ midp(X1,X2,X3)
| ~ midp(X4,X5,X6)
| ~ cong(X4,X5,X5,X6)
| cong(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_150,negated_conjecture,
cong(esk21_0,esk21_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_146]) ).
cnf(c_0_151,negated_conjecture,
( ~ midp(X1,X3,X3)
| midp(X1,X2,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_147]),c_0_147])]) ).
cnf(c_0_152,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_148,c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( ~ midp(X1,X2,X3)
| cong(X1,X2,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_150]),c_0_146])]) ).
cnf(c_0_154,negated_conjecture,
midp(esk26_0,X1,X1),
inference(spm,[status(thm)],[c_0_151,c_0_130]) ).
cnf(c_0_155,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_56,c_0_152]) ).
fof(c_0_156,plain,
! [X409,X410,X411,X412,X413,X414,X415,X416] :
( para(X409,X410,X411,X412)
| ~ para(X413,X414,X415,X416)
| ~ eqangle(X409,X410,X411,X412,X413,X414,X415,X416) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])])]) ).
fof(c_0_157,plain,
! [X288,X289,X290] :
( eqangle(X290,X288,X288,X289,X288,X289,X290,X289)
| ~ cong(X290,X288,X290,X289) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])])]) ).
cnf(c_0_158,negated_conjecture,
cong(esk26_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_159,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_66,c_0_155]) ).
fof(c_0_160,plain,
! [X283,X284,X285,X286,X287] :
( midp(X287,X283,X285)
| ~ coll(X287,X283,X285)
| ~ para(X286,X287,X284,X285)
| ~ midp(X286,X283,X284) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])])]) ).
cnf(c_0_161,plain,
( ~ para(X5,X6,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8)
| para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_162,plain,
( ~ cong(X1,X2,X1,X3)
| eqangle(X1,X2,X2,X3,X2,X3,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_163,negated_conjecture,
cong(X1,X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_93,c_0_158]) ).
cnf(c_0_164,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_159]),c_0_159])]) ).
cnf(c_0_165,plain,
( ~ coll(X4,X2,X5)
| ~ para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_166,plain,
( ~ para(X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3)
| para(X1,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_167,negated_conjecture,
cong(X1,X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_84,c_0_163]) ).
cnf(c_0_168,plain,
( ~ cong(X1,X2,X1,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_164])]) ).
cnf(c_0_169,plain,
( ~ para(X4,X1,X5,X3)
| ~ midp(X4,X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_164])]) ).
cnf(c_0_170,negated_conjecture,
para(X1,X1,X1,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_147])]) ).
cnf(c_0_171,negated_conjecture,
midp(X1,X1,esk26_0),
inference(spm,[status(thm)],[c_0_168,c_0_167]) ).
cnf(c_0_172,negated_conjecture,
( ~ midp(X1,X2,X1)
| midp(X1,X2,esk26_0) ),
inference(spm,[status(thm)],[c_0_169,c_0_170]) ).
cnf(c_0_173,negated_conjecture,
midp(X1,esk26_0,X1),
inference(spm,[status(thm)],[c_0_44,c_0_171]) ).
cnf(c_0_174,negated_conjecture,
midp(X1,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_175,plain,
( ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2)
| para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_176,negated_conjecture,
( ~ midp(X3,X2,X3)
| midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_147]) ).
cnf(c_0_177,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_151,c_0_174]) ).
cnf(c_0_178,plain,
( ~ coll(X1,X2,X3)
| ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_165,c_0_175]) ).
cnf(c_0_179,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_176,c_0_177]) ).
cnf(c_0_180,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_92,c_0_147]) ).
cnf(c_0_181,plain,
( ~ midp(X1,X4,X5)
| ~ midp(X7,X6,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_164])]) ).
cnf(c_0_182,negated_conjecture,
midp(X1,X2,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_179])]) ).
cnf(c_0_183,negated_conjecture,
( ~ midp(X3,X2,X1)
| midp(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_169,c_0_180]) ).
cnf(c_0_184,negated_conjecture,
( ~ midp(X4,X5,X3)
| midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_182]),c_0_182])]) ).
cnf(c_0_185,negated_conjecture,
midp(esk26_0,X1,X2),
inference(spm,[status(thm)],[c_0_183,c_0_182]) ).
cnf(c_0_186,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_184,c_0_185]) ).
cnf(c_0_187,negated_conjecture,
~ cong(esk21_0,esk27_0,esk27_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_188,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_186])]) ).
cnf(c_0_189,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_188])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO644+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 18:11:56 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.41/1.05 % Version: 3.5.1
% 4.41/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.41/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.41/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.41/1.05 % Starting new_bool_3 with 300s (1) cores
% 4.41/1.05 % Starting new_bool_1 with 300s (1) cores
% 4.41/1.05 % Starting sh5l with 300s (1) cores
% 4.41/1.05 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 4070570 completed with status 0
% 4.41/1.05 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 4.41/1.05 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.41/1.05 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.41/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.41/1.05 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.41/1.05 % No SInE strategy applied
% 4.41/1.05 % Search class: FGUSF-FFLM33-SFFFFFNN
% 4.41/1.05 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.41/1.05 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.41/1.05 % Starting SubtermCWHack with 136s (1) cores
% 4.41/1.05 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.41/1.05 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.41/1.06 % Starting new_bool_3 with 136s (1) cores
% 4.41/1.06 % Starting new_bool_1 with 136s (1) cores
% 4.41/1.06 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4070578 completed with status 0
% 4.41/1.06 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 4.41/1.06 % Preprocessing class: FSLSSMSSSSSNFFN.
% 4.41/1.06 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.41/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 4.41/1.06 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 4.41/1.06 % No SInE strategy applied
% 4.41/1.06 % Search class: FGUSF-FFLM33-SFFFFFNN
% 4.41/1.06 % partial match(1): FGUSF-FFMM33-SFFFFFNN
% 4.41/1.06 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 4.41/1.06 % Starting SubtermCWHack with 136s (1) cores
% 4.41/1.06 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 4.41/1.06 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 4.41/1.06 % Preprocessing time : 0.005 s
% 4.41/1.06 % Presaturation interreduction done
% 4.41/1.06
% 4.41/1.06 % Proof found!
% 4.41/1.06 % SZS status Theorem
% 4.41/1.06 % SZS output start CNFRefutation
% See solution above
% 4.41/1.06 % Parsed axioms : 95
% 4.41/1.06 % Removed by relevancy pruning/SinE : 0
% 4.41/1.06 % Initial clauses : 122
% 4.41/1.06 % Removed in clause preprocessing : 0
% 4.41/1.06 % Initial clauses in saturation : 122
% 4.41/1.06 % Processed clauses : 3124
% 4.41/1.06 % ...of these trivial : 551
% 4.41/1.06 % ...subsumed : 354
% 4.41/1.06 % ...remaining for further processing : 2219
% 4.41/1.06 % Other redundant clauses eliminated : 0
% 4.41/1.06 % Clauses deleted for lack of memory : 0
% 4.41/1.06 % Backward-subsumed : 40
% 4.41/1.06 % Backward-rewritten : 1837
% 4.41/1.06 % Generated clauses : 19170
% 4.41/1.06 % ...of the previous two non-redundant : 11539
% 4.41/1.06 % ...aggressively subsumed : 0
% 4.41/1.06 % Contextual simplify-reflections : 3
% 4.41/1.06 % Paramodulations : 19170
% 4.41/1.06 % Factorizations : 0
% 4.41/1.06 % NegExts : 0
% 4.41/1.06 % Equation resolutions : 0
% 4.41/1.06 % Disequality decompositions : 0
% 4.41/1.06 % Total rewrite steps : 10979
% 4.41/1.06 % ...of those cached : 8645
% 4.41/1.06 % Propositional unsat checks : 0
% 4.41/1.06 % Propositional check models : 0
% 4.41/1.06 % Propositional check unsatisfiable : 0
% 4.41/1.06 % Propositional clauses : 0
% 4.41/1.06 % Propositional clauses after purity: 0
% 4.41/1.06 % Propositional unsat core size : 0
% 4.41/1.06 % Propositional preprocessing time : 0.000
% 4.41/1.06 % Propositional encoding time : 0.000
% 4.41/1.06 % Propositional solver time : 0.000
% 4.41/1.06 % Success case prop preproc time : 0.000
% 4.41/1.06 % Success case prop encoding time : 0.000
% 4.41/1.06 % Success case prop solver time : 0.000
% 4.41/1.06 % Current number of processed clauses : 221
% 4.41/1.06 % Positive orientable unit clauses : 138
% 4.41/1.06 % Positive unorientable unit clauses: 0
% 4.41/1.06 % Negative unit clauses : 0
% 4.41/1.06 % Non-unit-clauses : 83
% 4.41/1.06 % Current number of unprocessed clauses: 8295
% 4.41/1.06 % ...number of literals in the above : 23910
% 4.41/1.06 % Current number of archived formulas : 0
% 4.41/1.06 % Current number of archived clauses : 1998
% 4.41/1.06 % Clause-clause subsumption calls (NU) : 101675
% 4.41/1.06 % Rec. Clause-clause subsumption calls : 75239
% 4.41/1.06 % Non-unit clause-clause subsumptions : 386
% 4.41/1.06 % Unit Clause-clause subsumption calls : 127709
% 4.41/1.06 % Rewrite failures with RHS unbound : 0
% 4.41/1.06 % BW rewrite match attempts : 12454
% 4.41/1.06 % BW rewrite match successes : 1350
% 4.41/1.06 % Condensation attempts : 0
% 4.41/1.06 % Condensation successes : 0
% 4.41/1.06 % Termbank termtop insertions : 201208
% 4.41/1.06 % Search garbage collected termcells : 2825
% 4.41/1.06
% 4.41/1.06 % -------------------------------------------------
% 4.41/1.06 % User time : 0.573 s
% 4.41/1.06 % System time : 0.026 s
% 4.41/1.06 % Total time : 0.599 s
% 4.41/1.06 % Maximum resident set size: 4304 pages
% 4.41/1.06
% 4.41/1.06 % -------------------------------------------------
% 4.41/1.06 % User time : 2.675 s
% 4.41/1.06 % System time : 0.120 s
% 4.41/1.06 % Total time : 2.794 s
% 4.41/1.06 % Maximum resident set size: 4608 pages
% 4.41/1.06 % E exiting
%------------------------------------------------------------------------------