%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO604+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 : n028.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 04:21:39 PM UTC 2026
% Result : Theorem 2.10s 1.93s
% Output : CNFRefutation 2.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 30
% Syntax : Number of formulae : 146 ( 36 unt; 0 def)
% Number of atoms : 340 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 324 ( 130 ~; 127 |; 36 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-6 aty)
% Number of variables : 511 ( 34 sgn 266 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618066,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X2,X3,X1,X5)
& coll(X5,X3,X4)
& midp(X6,X1,X5)
& midp(X13,X3,X2) )
=> perp(X4,X13,X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618066) ).
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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(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(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(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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD67) ).
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(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(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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).
fof(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(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(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(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(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(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_30,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( perp(X4,X3,X1,X2)
& coll(X4,X1,X2)
& perp(X2,X3,X1,X5)
& coll(X5,X3,X4)
& midp(X6,X1,X5)
& midp(X13,X3,X2) )
=> perp(X4,X13,X4,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618066]) ).
fof(c_0_31,plain,
! [X921,X922,X923] :
( ~ midp(X921,X922,X923)
| coll(X921,X922,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_32,negated_conjecture,
( perp(esk24_0,esk23_0,esk21_0,esk22_0)
& coll(esk24_0,esk21_0,esk22_0)
& perp(esk22_0,esk23_0,esk21_0,esk25_0)
& coll(esk25_0,esk23_0,esk24_0)
& midp(esk26_0,esk21_0,esk25_0)
& midp(esk27_0,esk23_0,esk22_0)
& ~ perp(esk24_0,esk27_0,esk24_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
fof(c_0_33,plain,
! [X551,X552,X553] :
( ~ coll(X551,X552,X553)
| coll(X552,X551,X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_34,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,negated_conjecture,
midp(esk27_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X548,X549,X550] :
( ~ coll(X548,X549,X550)
| coll(X548,X550,X549) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_37,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_38,negated_conjecture,
coll(esk27_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
fof(c_0_39,plain,
! [X918,X919,X920] :
( ~ midp(X918,X919,X920)
| cong(X918,X919,X918,X920) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_40,plain,
! [X554,X555,X556,X557] :
( ~ coll(X554,X555,X556)
| ~ coll(X554,X555,X557)
| coll(X556,X557,X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_41,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_42,negated_conjecture,
coll(esk23_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_43,plain,
! [X665,X666,X667,X668] :
( ~ cong(X665,X666,X667,X668)
| cong(X665,X666,X668,X667) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_44,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
coll(esk23_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_47,plain,
! [X673,X674,X675,X676,X677,X678] :
( ~ cong(X673,X674,X675,X676)
| ~ cong(X675,X676,X677,X678)
| cong(X673,X674,X677,X678) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_48,plain,
! [X669,X670,X671,X672] :
( ~ cong(X669,X670,X671,X672)
| cong(X671,X672,X669,X670) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_49,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
cong(esk27_0,esk23_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_51,negated_conjecture,
( coll(X1,esk27_0,esk23_0)
| ~ coll(esk23_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
cong(esk27_0,esk23_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
coll(esk27_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_51,c_0_46]) ).
fof(c_0_56,plain,
! [X897,X898,X899,X900,X901] :
( ~ midp(X901,X897,X898)
| ~ midp(X901,X899,X900)
| para(X897,X899,X898,X900) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_57,plain,
! [X988,X989,X990,X991,X992,X993] :
( ( midp(esk6_6(X988,X989,X990,X991,X992,X993),X988,X991)
| ~ midp(X992,X988,X989)
| ~ midp(X993,X990,X991) )
& ( para(esk6_6(X988,X989,X990,X991,X992,X993),X992,X989,X991)
| ~ midp(X992,X988,X989)
| ~ midp(X993,X990,X991) )
& ( para(esk6_6(X988,X989,X990,X991,X992,X993),X993,X988,X990)
| ~ midp(X992,X988,X989)
| ~ midp(X993,X990,X991) ) ),
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_58,plain,
! [X592,X593,X594] :
( ~ midp(X594,X593,X592)
| midp(X594,X592,X593) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_59,negated_conjecture,
( cong(X1,X2,esk27_0,esk22_0)
| ~ cong(X1,X2,esk27_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_50]) ).
cnf(c_0_60,negated_conjecture,
cong(esk22_0,esk27_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_61,negated_conjecture,
( coll(X1,esk22_0,esk27_0)
| ~ coll(esk27_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_38]) ).
cnf(c_0_62,negated_conjecture,
coll(esk27_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_41,c_0_55]) ).
cnf(c_0_63,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_64,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_57]) ).
cnf(c_0_65,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_66,plain,
! [X915,X916,X917] :
( ~ cong(X915,X916,X915,X917)
| ~ coll(X915,X916,X917)
| midp(X915,X916,X917) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_67,negated_conjecture,
cong(esk22_0,esk27_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_68,negated_conjecture,
coll(esk27_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
fof(c_0_69,plain,
! [X629,X630,X631,X632,X633,X634,X635,X636] :
( ~ eqangle(X629,X630,X631,X632,X633,X634,X635,X636)
| eqangle(X631,X632,X629,X630,X635,X636,X633,X634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_70,plain,
! [X783,X784,X785,X786,X787,X788] :
( ~ para(X783,X784,X785,X786)
| eqangle(X783,X784,X787,X788,X785,X786,X787,X788) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
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_63,c_0_64]) ).
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_65,c_0_64]) ).
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_66]) ).
cnf(c_0_74,negated_conjecture,
cong(esk22_0,esk27_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_49,c_0_67]) ).
cnf(c_0_75,negated_conjecture,
coll(esk22_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_37,c_0_68]) ).
fof(c_0_76,plain,
! [X777,X778,X779,X780,X781,X782] :
( ~ eqangle(X777,X778,X781,X782,X779,X780,X781,X782)
| para(X777,X778,X779,X780) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_77,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_69]) ).
cnf(c_0_78,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,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_80,negated_conjecture,
midp(esk22_0,esk27_0,esk27_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_81,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_82,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_83,negated_conjecture,
( para(esk27_0,X1,X1,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
fof(c_0_84,plain,
! [X912,X913,X914] :
( ~ para(X912,X913,X912,X914)
| coll(X912,X913,X914) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_85,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_86,negated_conjecture,
para(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_83,c_0_80]) ).
cnf(c_0_87,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_88,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_89,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
fof(c_0_90,plain,
! [X797,X798,X799,X800] :
( ~ eqangle(X799,X797,X799,X798,X800,X797,X800,X798)
| ~ coll(X799,X800,X798)
| cyclic(X797,X798,X799,X800) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_91,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_37,c_0_89]) ).
cnf(c_0_92,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_90]) ).
cnf(c_0_93,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_91]) ).
fof(c_0_94,plain,
! [X608,X609,X610,X611] :
( ~ cyclic(X608,X609,X610,X611)
| cyclic(X608,X610,X609,X611) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_95,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_92,c_0_78]) ).
cnf(c_0_96,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_93]),c_0_93])]) ).
fof(c_0_97,plain,
! [X604,X605,X606,X607] :
( ~ cyclic(X604,X605,X606,X607)
| cyclic(X604,X605,X607,X606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_98,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_99,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_88])]),c_0_96])]) ).
fof(c_0_100,plain,
! [X612,X613,X614,X615] :
( ~ cyclic(X612,X613,X614,X615)
| cyclic(X613,X612,X614,X615) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_101,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
cnf(c_0_102,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_103,plain,
! [X801,X802,X803,X804,X805,X806] :
( ~ cyclic(X801,X802,X803,X804)
| ~ cyclic(X801,X802,X803,X805)
| ~ cyclic(X801,X802,X803,X806)
| ~ eqangle(X803,X801,X803,X802,X806,X804,X806,X805)
| cong(X801,X802,X804,X805) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_104,plain,
! [X851,X852,X853,X854] :
( ~ cyclic(X851,X852,X853,X854)
| ~ para(X851,X852,X853,X854)
| eqangle(X851,X854,X853,X854,X853,X854,X853,X852) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_105,plain,
! [X616,X617,X618,X619,X620] :
( ~ cyclic(X616,X617,X618,X619)
| ~ cyclic(X616,X617,X618,X620)
| cyclic(X617,X618,X619,X620) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_106,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_100]) ).
cnf(c_0_107,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_108,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_103]) ).
cnf(c_0_109,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_110,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_105]) ).
cnf(c_0_111,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_112,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_113,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_111])]) ).
fof(c_0_114,plain,
! [X812,X813,X814,X815,X816] :
( ~ midp(X815,X812,X813)
| ~ para(X815,X816,X813,X814)
| ~ coll(X816,X812,X814)
| midp(X816,X812,X814) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_115,plain,
! [X558,X559,X560,X561] :
( ~ para(X558,X559,X560,X561)
| para(X558,X559,X561,X560) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
fof(c_0_116,plain,
! [X902,X903,X904,X905,X906] :
( ~ midp(X906,X902,X903)
| ~ para(X902,X904,X903,X905)
| ~ para(X902,X905,X903,X904)
| midp(X906,X904,X905) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_117,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_99])]),c_0_113]),c_0_113]),c_0_113])]) ).
cnf(c_0_118,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_114]) ).
cnf(c_0_119,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_115]) ).
cnf(c_0_120,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_116]) ).
cnf(c_0_121,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_96])]) ).
cnf(c_0_122,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_117,c_0_88]) ).
fof(c_0_123,plain,
! [X817,X818,X819] :
( ~ cong(X819,X817,X819,X818)
| eqangle(X819,X817,X817,X818,X817,X818,X819,X818) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_124,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_118,c_0_96])]) ).
cnf(c_0_125,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_119,c_0_88]) ).
cnf(c_0_126,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_88]),c_0_88])]) ).
cnf(c_0_127,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_121,c_0_122]) ).
fof(c_0_128,plain,
! [X562,X563,X564,X565] :
( ~ para(X562,X563,X564,X565)
| para(X564,X565,X562,X563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_129,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_130,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_131,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_128]) ).
cnf(c_0_133,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_81,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_135,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_108,c_0_78]) ).
cnf(c_0_136,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_44,c_0_134]) ).
fof(c_0_138,plain,
! [X859,X860,X861,X862] :
( ~ cong(X859,X861,X860,X861)
| ~ cong(X859,X862,X860,X862)
| perp(X859,X860,X861,X862) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_139,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_135,c_0_99])]),c_0_113]),c_0_113])]) ).
cnf(c_0_140,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_136,c_0_137])]) ).
cnf(c_0_141,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_138]) ).
cnf(c_0_142,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
~ perp(esk24_0,esk27_0,esk24_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_144,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_141,c_0_142]),c_0_142])]) ).
cnf(c_0_145,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO604+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n028.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 18:04:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 2.10/1.93 % Version : CSE_E---1.7
% 2.10/1.93 % Problem : theBenchmark.p
% 2.10/1.93 % SZS status Theorem for theBenchmark.p
% 2.10/1.93 % SZS output start CNFRefutation
% See solution above
% 2.10/1.93 % Total time : 1.373s
%------------------------------------------------------------------------------