%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO633+1 : TPTP v9.2.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n029.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 04:21:44 PM UTC 2026
% Result : Theorem 2.05s 1.97s
% Output : CNFRefutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 32
% Syntax : Number of formulae : 190 ( 64 unt; 0 def)
% Number of atoms : 415 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 375 ( 150 ~; 147 |; 45 &)
% ( 0 <=>; 33 =>; 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 : 9 ( 9 usr; 8 con; 0-6 aty)
% Number of variables : 603 ( 51 sgn 306 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL8110996,conjecture,
! [X1,X2,X3,X19,X20,X17,X13,X14] :
( ( midp(X19,X3,X2)
& eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
& coll(X20,X2,X3)
& coll(X17,X1,X19)
& perp(X13,X17,X1,X2)
& coll(X13,X1,X2)
& perp(X14,X17,X1,X3)
& coll(X14,X1,X3) )
=> perp(X13,X14,X1,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL8110996) ).
fof(ruleD69,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD69) ).
fof(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
fof(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(ruleD3,axiom,
! [X1,X2,X3,X4] :
( ( coll(X1,X2,X3)
& coll(X1,X2,X4) )
=> coll(X3,X4,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD3) ).
fof(ruleD23,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD23) ).
fof(ruleD25,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( cong(X1,X2,X3,X4)
& cong(X3,X4,X5,X6) )
=> cong(X1,X2,X5,X6) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD25) ).
fof(ruleD24,axiom,
! [X1,X2,X3,X4] :
( cong(X1,X2,X3,X4)
=> cong(X3,X4,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD24) ).
fof(ruleD63,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& midp(X7,X3,X4) )
=> para(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD63) ).
fof(ruleX6,axiom,
! [X1,X2,X3,X4,X7,X17] :
? [X9] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> ( midp(X9,X1,X4)
& para(X9,X7,X2,X4)
& para(X9,X17,X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).
fof(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
fof(ruleD67,axiom,
! [X1,X2,X3] :
( ( cong(X1,X2,X1,X3)
& coll(X1,X2,X3) )
=> midp(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
fof(ruleD4,axiom,
! [X1,X2,X3,X4] :
( para(X1,X2,X3,X4)
=> para(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD4) ).
fof(ruleD64,axiom,
! [X1,X2,X3,X4,X7] :
( ( midp(X7,X1,X2)
& para(X1,X3,X2,X4)
& para(X1,X4,X2,X3) )
=> midp(X7,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD64) ).
fof(ruleD19,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X3,X4,X1,X2,X11,X12,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).
fof(ruleD40,axiom,
! [X1,X2,X3,X4,X9,X10] :
( para(X1,X2,X3,X4)
=> eqangle(X1,X2,X9,X10,X3,X4,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD40) ).
fof(ruleD39,axiom,
! [X1,X2,X3,X4,X9,X10] :
( eqangle(X1,X2,X9,X10,X3,X4,X9,X10)
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD39) ).
fof(ruleD75,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqratio(X1,X2,X3,X4,X9,X10,X11,X12)
& cong(X9,X10,X11,X12) )
=> cong(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).
fof(ruleD70,axiom,
! [X1,X2,X3,X4,X7,X17] :
( ( midp(X7,X1,X2)
& midp(X17,X3,X4) )
=> eqratio(X7,X1,X1,X2,X17,X3,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
fof(ruleD66,axiom,
! [X1,X2,X3] :
( para(X1,X2,X1,X3)
=> coll(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).
fof(ruleD73,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( ( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
& para(X9,X10,X11,X12) )
=> para(X1,X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD45,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& para(X5,X6,X2,X3)
& coll(X6,X1,X3) )
=> midp(X6,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD45) ).
fof(ruleD42b,axiom,
! [X1,X2,X9,X10] :
( ( eqangle(X9,X1,X9,X2,X10,X1,X10,X2)
& coll(X9,X10,X2) )
=> cyclic(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).
fof(ruleD15,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X3,X2,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).
fof(ruleD14,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X1,X2,X4,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD14) ).
fof(ruleD16,axiom,
! [X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
=> cyclic(X2,X1,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).
fof(ruleD43,axiom,
! [X1,X2,X3,X9,X10,X15] :
( ( cyclic(X1,X2,X3,X9)
& cyclic(X1,X2,X3,X10)
& cyclic(X1,X2,X3,X15)
& eqangle(X3,X1,X3,X2,X15,X9,X15,X10) )
=> cong(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD17,axiom,
! [X1,X2,X3,X4,X5] :
( ( cyclic(X1,X2,X3,X4)
& cyclic(X1,X2,X3,X5) )
=> cyclic(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
fof(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_32,negated_conjecture,
~ ! [X1,X2,X3,X19,X20,X17,X13,X14] :
( ( midp(X19,X3,X2)
& eqangle(X20,X1,X1,X2,X3,X1,X1,X19)
& coll(X20,X2,X3)
& coll(X17,X1,X19)
& perp(X13,X17,X1,X2)
& coll(X13,X1,X2)
& perp(X14,X17,X1,X3)
& coll(X14,X1,X3) )
=> perp(X13,X14,X1,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL8110996]) ).
fof(c_0_33,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_34,negated_conjecture,
( midp(esk24_0,esk23_0,esk22_0)
& eqangle(esk25_0,esk21_0,esk21_0,esk22_0,esk23_0,esk21_0,esk21_0,esk24_0)
& coll(esk25_0,esk22_0,esk23_0)
& coll(esk26_0,esk21_0,esk24_0)
& perp(esk27_0,esk26_0,esk21_0,esk22_0)
& coll(esk27_0,esk21_0,esk22_0)
& perp(esk28_0,esk26_0,esk21_0,esk23_0)
& coll(esk28_0,esk21_0,esk23_0)
& ~ perp(esk27_0,esk28_0,esk21_0,esk25_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_35,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_36,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
midp(esk24_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
fof(c_0_38,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_39,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_40,negated_conjecture,
coll(esk24_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_41,plain,
! [X921,X922,X923] :
( ~ midp(X921,X922,X923)
| cong(X921,X922,X921,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_42,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_43,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,negated_conjecture,
coll(esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_45,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_46,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_48,negated_conjecture,
coll(esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
fof(c_0_49,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])]) ).
fof(c_0_50,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_51,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_52,negated_conjecture,
cong(esk24_0,esk23_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_37]) ).
cnf(c_0_53,negated_conjecture,
( coll(X1,esk24_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_54,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,negated_conjecture,
cong(esk24_0,esk23_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,negated_conjecture,
coll(esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_53,c_0_48]) ).
fof(c_0_58,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_59,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])])])])]) ).
fof(c_0_60,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_61,negated_conjecture,
( cong(X1,X2,esk24_0,esk22_0)
| ~ cong(X1,X2,esk24_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_62,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
( coll(X1,esk22_0,esk24_0)
| ~ coll(esk24_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_40]) ).
cnf(c_0_64,negated_conjecture,
coll(esk24_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_57]) ).
cnf(c_0_65,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_66,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_59]) ).
cnf(c_0_67,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
fof(c_0_68,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_69,negated_conjecture,
cong(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,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_65,c_0_66]) ).
cnf(c_0_72,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_67,c_0_66]) ).
cnf(c_0_73,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,negated_conjecture,
cong(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
coll(esk22_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_39,c_0_70]) ).
cnf(c_0_76,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_77,negated_conjecture,
midp(esk22_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_78,negated_conjecture,
midp(esk24_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_67,c_0_37]) ).
fof(c_0_79,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_80,negated_conjecture,
( para(esk24_0,X1,X1,esk24_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_81,negated_conjecture,
( para(esk22_0,X1,X1,esk22_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_37]) ).
cnf(c_0_82,negated_conjecture,
coll(esk26_0,esk21_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_83,negated_conjecture,
( para(esk23_0,X1,X1,esk23_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_76,c_0_78]) ).
fof(c_0_84,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_85,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_86,negated_conjecture,
para(esk24_0,esk23_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_80,c_0_37]) ).
fof(c_0_87,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_88,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])]) ).
cnf(c_0_89,negated_conjecture,
para(esk22_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_81,c_0_77]) ).
cnf(c_0_90,negated_conjecture,
coll(esk22_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_63,c_0_40]) ).
cnf(c_0_91,negated_conjecture,
( coll(X1,esk24_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
para(esk23_0,esk22_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_83,c_0_78]) ).
cnf(c_0_93,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_84]) ).
cnf(c_0_94,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_95,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_96,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_87]) ).
cnf(c_0_97,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_98,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_71,c_0_66]) ).
cnf(c_0_99,negated_conjecture,
para(esk22_0,esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_85,c_0_89]) ).
cnf(c_0_100,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_46,c_0_78]) ).
cnf(c_0_101,negated_conjecture,
coll(esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_43,c_0_90]) ).
cnf(c_0_102,negated_conjecture,
coll(esk24_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_91,c_0_82]) ).
cnf(c_0_103,negated_conjecture,
para(esk23_0,esk22_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_85,c_0_92]) ).
cnf(c_0_104,negated_conjecture,
( midp(X1,esk23_0,esk23_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_94])]) ).
cnf(c_0_105,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_95]) ).
cnf(c_0_106,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_107,negated_conjecture,
( para(X1,X1,esk24_0,esk24_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_98,c_0_77]) ).
cnf(c_0_108,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_99]),c_0_99])]) ).
cnf(c_0_109,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
coll(esk24_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_39,c_0_101]) ).
cnf(c_0_111,negated_conjecture,
coll(esk24_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_43,c_0_102]) ).
fof(c_0_112,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_113,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_114,negated_conjecture,
( midp(X1,esk22_0,esk22_0)
| ~ midp(X1,esk23_0,esk23_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_103]),c_0_103])]) ).
cnf(c_0_115,negated_conjecture,
midp(esk22_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_104,c_0_77]) ).
cnf(c_0_116,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_117,negated_conjecture,
para(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_107,c_0_77]) ).
cnf(c_0_118,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk22_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_108]) ).
cnf(c_0_119,negated_conjecture,
midp(esk24_0,esk22_0,esk22_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_109]),c_0_110])]) ).
cnf(c_0_120,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_111]) ).
fof(c_0_121,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_122,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_112]) ).
cnf(c_0_123,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_113]) ).
cnf(c_0_124,negated_conjecture,
midp(esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_125,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_126,negated_conjecture,
cong(esk24_0,esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_127,negated_conjecture,
coll(esk24_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_120,c_0_111]) ).
cnf(c_0_128,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_129,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_122,c_0_123]) ).
cnf(c_0_130,negated_conjecture,
cong(esk22_0,esk22_0,esk22_0,esk22_0),
inference(spm,[status(thm)],[c_0_46,c_0_124]) ).
cnf(c_0_131,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_125]),c_0_125])]) ).
cnf(c_0_132,negated_conjecture,
midp(esk24_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_126]),c_0_127])]) ).
cnf(c_0_133,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_128,c_0_125]) ).
cnf(c_0_134,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_129,c_0_130]),c_0_124])]) ).
cnf(c_0_135,negated_conjecture,
midp(esk24_0,X1,X1),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_136,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_39,c_0_133]) ).
fof(c_0_137,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_138,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_139,negated_conjecture,
cong(esk24_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_140,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_43,c_0_136]) ).
fof(c_0_141,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_142,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_137]) ).
cnf(c_0_143,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_144,negated_conjecture,
cong(X1,X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_55,c_0_139]) ).
cnf(c_0_145,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_140]),c_0_140])]) ).
fof(c_0_146,plain,
! [X800,X801,X802,X803] :
( ~ eqangle(X802,X800,X802,X801,X803,X800,X803,X801)
| ~ coll(X802,X803,X801)
| cyclic(X800,X801,X802,X803) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_147,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_141]) ).
cnf(c_0_148,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_149,negated_conjecture,
cong(X1,X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_51,c_0_144]) ).
cnf(c_0_150,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_145])]) ).
cnf(c_0_151,plain,
( cyclic(X2,X3,X1,X4)
| ~ eqangle(X1,X2,X1,X3,X4,X2,X4,X3)
| ~ coll(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_152,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_145])]) ).
cnf(c_0_153,negated_conjecture,
para(X1,X1,X1,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_125])]) ).
cnf(c_0_154,negated_conjecture,
midp(X1,X1,esk24_0),
inference(spm,[status(thm)],[c_0_150,c_0_149]) ).
fof(c_0_155,plain,
! [X611,X612,X613,X614] :
( ~ cyclic(X611,X612,X613,X614)
| cyclic(X611,X613,X612,X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_156,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_151,c_0_97]) ).
cnf(c_0_157,negated_conjecture,
( midp(X1,X2,esk24_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_158,negated_conjecture,
midp(X1,esk24_0,X1),
inference(spm,[status(thm)],[c_0_67,c_0_154]) ).
fof(c_0_159,plain,
! [X607,X608,X609,X610] :
( ~ cyclic(X607,X608,X609,X610)
| cyclic(X607,X608,X610,X609) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_160,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_161,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_156,c_0_125])]),c_0_145])]) ).
cnf(c_0_162,negated_conjecture,
midp(X1,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
fof(c_0_163,plain,
! [X615,X616,X617,X618] :
( ~ cyclic(X615,X616,X617,X618)
| cyclic(X616,X615,X617,X618) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_164,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_165,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_166,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_152,c_0_125]) ).
cnf(c_0_167,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_131,c_0_162]) ).
fof(c_0_168,plain,
! [X804,X805,X806,X807,X808,X809] :
( ~ cyclic(X804,X805,X806,X807)
| ~ cyclic(X804,X805,X806,X808)
| ~ cyclic(X804,X805,X806,X809)
| ~ eqangle(X806,X804,X806,X805,X809,X807,X809,X808)
| cong(X804,X805,X807,X808) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_169,plain,
! [X619,X620,X621,X622,X623] :
( ~ cyclic(X619,X620,X621,X622)
| ~ cyclic(X619,X620,X621,X623)
| cyclic(X620,X621,X622,X623) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_170,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_171,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_172,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_173,plain,
( cong(X1,X2,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5)
| ~ cyclic(X1,X2,X3,X6)
| ~ eqangle(X3,X1,X3,X2,X6,X4,X6,X5) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_174,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_175,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
fof(c_0_176,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_177,negated_conjecture,
midp(X1,X2,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_172])]) ).
cnf(c_0_178,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_173,c_0_97]) ).
cnf(c_0_179,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_175])]) ).
cnf(c_0_180,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_181,negated_conjecture,
midp(X1,esk24_0,X2),
inference(spm,[status(thm)],[c_0_67,c_0_177]) ).
fof(c_0_182,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_183,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_161])]),c_0_179]),c_0_179])]) ).
cnf(c_0_184,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_181])]) ).
cnf(c_0_185,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_186,plain,
cong(X1,X2,X3,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]) ).
cnf(c_0_187,negated_conjecture,
~ perp(esk27_0,esk28_0,esk21_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_188,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_185,c_0_186]),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
% 0.11/0.13 % Problem : GEO633+1 : TPTP v9.2.1. Released v7.5.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n029.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 18:04:59 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 2.05/1.97 % Version : CSE_E---1.7
% 2.05/1.97 % Problem : theBenchmark.p
% 2.05/1.97 % SZS status Theorem for theBenchmark.p
% 2.05/1.97 % SZS output start CNFRefutation
% See solution above
% 2.05/1.98 % Total time : 1.373s
%------------------------------------------------------------------------------