%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO551+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 : n031.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 04:21:30 PM UTC 2026
% Result : Theorem 1.99s 1.90s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 21
% Syntax : Number of formulae : 99 ( 27 unt; 0 def)
% Number of atoms : 216 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 191 ( 74 ~; 71 |; 24 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 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 : 340 ( 24 sgn 190 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012011,conjecture,
! [X1,X2,X3,X4,X19,X7,X17] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& midp(X19,X1,X2)
& midp(X7,X3,X2)
& midp(X17,X1,X3) )
=> cyclic(X19,X4,X7,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012011) ).
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(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(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(c_0_21,negated_conjecture,
~ ! [X1,X2,X3,X4,X19,X7,X17] :
( ( perp(X4,X1,X2,X3)
& coll(X4,X2,X3)
& midp(X19,X1,X2)
& midp(X7,X3,X2)
& midp(X17,X1,X3) )
=> cyclic(X19,X4,X7,X17) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012011]) ).
fof(c_0_22,plain,
! [X922,X923,X924] :
( ~ midp(X922,X923,X924)
| coll(X922,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_23,negated_conjecture,
( perp(esk24_0,esk21_0,esk22_0,esk23_0)
& coll(esk24_0,esk22_0,esk23_0)
& midp(esk25_0,esk21_0,esk22_0)
& midp(esk26_0,esk23_0,esk22_0)
& midp(esk27_0,esk21_0,esk23_0)
& ~ cyclic(esk25_0,esk24_0,esk26_0,esk27_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_24,plain,
! [X552,X553,X554] :
( ~ coll(X552,X553,X554)
| coll(X553,X552,X554) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_25,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
midp(esk27_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X549,X550,X551] :
( ~ coll(X549,X550,X551)
| coll(X549,X551,X550) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_28,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
coll(esk27_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,plain,
! [X919,X920,X921] :
( ~ midp(X919,X920,X921)
| cong(X919,X920,X919,X921) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_31,plain,
! [X555,X556,X557,X558] :
( ~ coll(X555,X556,X557)
| ~ coll(X555,X556,X558)
| coll(X557,X558,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_32,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,negated_conjecture,
coll(esk21_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_34,plain,
! [X666,X667,X668,X669] :
( ~ cong(X666,X667,X668,X669)
| cong(X666,X667,X669,X668) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_35,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_37,negated_conjecture,
coll(esk21_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X674,X675,X676,X677,X678,X679] :
( ~ cong(X674,X675,X676,X677)
| ~ cong(X676,X677,X678,X679)
| cong(X674,X675,X678,X679) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
fof(c_0_39,plain,
! [X670,X671,X672,X673] :
( ~ cong(X670,X671,X672,X673)
| cong(X672,X673,X670,X671) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_40,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,negated_conjecture,
cong(esk27_0,esk21_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
cnf(c_0_42,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_44,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_45,negated_conjecture,
cong(esk27_0,esk21_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_46,negated_conjecture,
coll(esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_37]) ).
fof(c_0_47,plain,
! [X898,X899,X900,X901,X902] :
( ~ midp(X902,X898,X899)
| ~ midp(X902,X900,X901)
| para(X898,X900,X899,X901) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_48,plain,
! [X989,X990,X991,X992,X993,X994] :
( ( midp(esk6_6(X989,X990,X991,X992,X993,X994),X989,X992)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) )
& ( para(esk6_6(X989,X990,X991,X992,X993,X994),X993,X990,X992)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) )
& ( para(esk6_6(X989,X990,X991,X992,X993,X994),X994,X989,X991)
| ~ midp(X993,X989,X990)
| ~ midp(X994,X991,X992) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX6])])])])]) ).
cnf(c_0_49,negated_conjecture,
( cong(X1,X2,esk27_0,esk23_0)
| ~ cong(X1,X2,esk27_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_50,negated_conjecture,
cong(esk23_0,esk27_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( coll(X1,esk23_0,esk27_0)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_52,negated_conjecture,
coll(esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_32,c_0_46]) ).
cnf(c_0_53,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_54,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_48]) ).
fof(c_0_55,plain,
! [X916,X917,X918] :
( ~ cong(X916,X917,X916,X918)
| ~ coll(X916,X917,X918)
| midp(X916,X917,X918) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_56,negated_conjecture,
cong(esk23_0,esk27_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
coll(esk27_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
fof(c_0_58,plain,
! [X630,X631,X632,X633,X634,X635,X636,X637] :
( ~ eqangle(X630,X631,X632,X633,X634,X635,X636,X637)
| eqangle(X632,X633,X630,X631,X636,X637,X634,X635) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_59,plain,
! [X784,X785,X786,X787,X788,X789] :
( ~ para(X784,X785,X786,X787)
| eqangle(X784,X785,X788,X789,X786,X787,X788,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_60,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_53,c_0_54]) ).
cnf(c_0_61,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_62,negated_conjecture,
cong(esk23_0,esk27_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_40,c_0_56]) ).
cnf(c_0_63,negated_conjecture,
coll(esk23_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_28,c_0_57]) ).
fof(c_0_64,plain,
! [X778,X779,X780,X781,X782,X783] :
( ~ eqangle(X778,X779,X782,X783,X780,X781,X782,X783)
| para(X778,X779,X780,X781) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_65,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_58]) ).
cnf(c_0_66,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_67,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_68,negated_conjecture,
midp(esk23_0,esk27_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_69,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,negated_conjecture,
( para(X1,X1,esk27_0,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
fof(c_0_72,plain,
! [X913,X914,X915] :
( ~ para(X913,X914,X913,X915)
| coll(X913,X914,X915) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_73,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_74,negated_conjecture,
para(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_71,c_0_68]) ).
cnf(c_0_75,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_76,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_77,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
fof(c_0_78,plain,
! [X798,X799,X800,X801] :
( ~ eqangle(X800,X798,X800,X799,X801,X798,X801,X799)
| ~ coll(X800,X801,X799)
| cyclic(X798,X799,X800,X801) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_79,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_28,c_0_77]) ).
cnf(c_0_80,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_78]) ).
cnf(c_0_81,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_32,c_0_79]) ).
fof(c_0_82,plain,
! [X609,X610,X611,X612] :
( ~ cyclic(X609,X610,X611,X612)
| cyclic(X609,X611,X610,X612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_83,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_66]) ).
cnf(c_0_84,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_81]),c_0_81])]) ).
fof(c_0_85,plain,
! [X605,X606,X607,X608] :
( ~ cyclic(X605,X606,X607,X608)
| cyclic(X605,X606,X608,X607) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_86,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_87,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_76])]),c_0_84])]) ).
fof(c_0_88,plain,
! [X613,X614,X615,X616] :
( ~ cyclic(X613,X614,X615,X616)
| cyclic(X614,X613,X615,X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_89,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_85]) ).
cnf(c_0_90,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X617,X618,X619,X620,X621] :
( ~ cyclic(X617,X618,X619,X620)
| ~ cyclic(X617,X618,X619,X621)
| cyclic(X618,X619,X620,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_92,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_93,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_94,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_95,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_96,negated_conjecture,
~ cyclic(esk25_0,esk24_0,esk26_0,esk27_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_97,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_95])]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO551+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
% 0.16/0.32 % Computer : n031.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:04:23 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.99/1.90 % Version : CSE_E---1.7
% 1.99/1.90 % Problem : theBenchmark.p
% 1.99/1.90 % SZS status Theorem for theBenchmark.p
% 1.99/1.90 % SZS output start CNFRefutation
% See solution above
% 1.99/1.91 % Total time : 1.374s
%------------------------------------------------------------------------------