%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO605+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 : n007.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 3.59s 3.06s
% Output : CNFRefutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 21
% Syntax : Number of formulae : 93 ( 22 unt; 0 def)
% Number of atoms : 248 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 238 ( 83 ~; 80 |; 53 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 372 ( 21 sgn 212 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL618067,conjecture,
! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618067) ).
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(ruleD21,axiom,
! [X1,X2,X3,X4,X9,X10,X11,X12] :
( eqangle(X1,X2,X3,X4,X9,X10,X11,X12)
=> eqangle(X1,X2,X9,X10,X3,X4,X11,X12) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).
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(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(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(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(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(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(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(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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD17) ).
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(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(ruleD57,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10)
& cyclic(X1,X2,X9,X10) )
=> perp(X9,X1,X1,X10) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).
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(c_0_21,negated_conjecture,
~ ! [X7,X2,X3,X19,X20,X21,X1,X8,X22,X23,X24] :
( ( eqangle(X19,X7,X7,X2,X19,X7,X7,X3)
& eqangle(X19,X2,X2,X3,X19,X2,X2,X7)
& eqangle(X19,X3,X3,X7,X19,X3,X3,X2)
& perp(X2,X19,X2,X20)
& perp(X3,X19,X3,X21)
& coll(X20,X3,X19)
& coll(X21,X2,X19)
& midp(X1,X21,X20)
& midp(X22,X2,X19)
& perp(X2,X19,X22,X8)
& midp(X23,X2,X3)
& perp(X2,X3,X23,X8)
& midp(X24,X19,X3)
& perp(X19,X3,X24,X8) )
=> perp(X1,X2,X2,X8) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL618067]) ).
fof(c_0_22,plain,
! [X639,X640,X641,X642,X643,X644,X645,X646] :
( ~ eqangle(X639,X640,X641,X642,X643,X644,X645,X646)
| eqangle(X641,X642,X639,X640,X645,X646,X643,X644) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_23,negated_conjecture,
( eqangle(esk24_0,esk21_0,esk21_0,esk22_0,esk24_0,esk21_0,esk21_0,esk23_0)
& eqangle(esk24_0,esk22_0,esk22_0,esk23_0,esk24_0,esk22_0,esk22_0,esk21_0)
& eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0)
& perp(esk22_0,esk24_0,esk22_0,esk25_0)
& perp(esk23_0,esk24_0,esk23_0,esk26_0)
& coll(esk25_0,esk23_0,esk24_0)
& coll(esk26_0,esk22_0,esk24_0)
& midp(esk27_0,esk26_0,esk25_0)
& midp(esk29_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk29_0,esk28_0)
& midp(esk30_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk30_0,esk28_0)
& midp(esk31_0,esk24_0,esk23_0)
& perp(esk24_0,esk23_0,esk31_0,esk28_0)
& ~ perp(esk27_0,esk22_0,esk22_0,esk28_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_24,plain,
! [X793,X794,X795,X796,X797,X798] :
( ~ para(X793,X794,X795,X796)
| eqangle(X793,X794,X797,X798,X795,X796,X797,X798) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_25,plain,
! [X655,X656,X657,X658,X659,X660,X661,X662] :
( ~ eqangle(X655,X656,X657,X658,X659,X660,X661,X662)
| eqangle(X655,X656,X659,X660,X657,X658,X661,X662) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD21])]) ).
fof(c_0_26,plain,
! [X787,X788,X789,X790,X791,X792] :
( ~ eqangle(X787,X788,X791,X792,X789,X790,X791,X792)
| para(X787,X788,X789,X790) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_27,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_22]) ).
cnf(c_0_28,negated_conjecture,
eqangle(esk24_0,esk23_0,esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X948,X949,X950,X951,X952,X953,X954,X955] :
( ~ eqangle(X948,X949,X950,X951,X952,X953,X954,X955)
| ~ para(X952,X953,X954,X955)
| para(X948,X949,X950,X951) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_31,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X7,X8)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_33,negated_conjecture,
eqangle(esk23_0,esk21_0,esk24_0,esk23_0,esk23_0,esk22_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_34,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_27,c_0_29]) ).
cnf(c_0_35,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_30]) ).
cnf(c_0_36,negated_conjecture,
eqangle(esk24_0,esk23_0,esk24_0,esk23_0,esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_31,c_0_28]) ).
cnf(c_0_37,negated_conjecture,
para(esk23_0,esk21_0,esk23_0,esk22_0),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_38,plain,
! [X922,X923,X924] :
( ~ para(X922,X923,X922,X924)
| coll(X922,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_39,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_32,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
fof(c_0_41,plain,
! [X561,X562,X563] :
( ~ coll(X561,X562,X563)
| coll(X562,X561,X563) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_42,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_43,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_44,plain,
! [X558,X559,X560] :
( ~ coll(X558,X559,X560)
| coll(X558,X560,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_45,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_46,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
fof(c_0_47,plain,
! [X807,X808,X809,X810] :
( ~ eqangle(X809,X807,X809,X808,X810,X807,X810,X808)
| ~ coll(X809,X810,X808)
| cyclic(X807,X808,X809,X810) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_48,plain,
! [X564,X565,X566,X567] :
( ~ coll(X564,X565,X566)
| ~ coll(X564,X565,X567)
| coll(X566,X567,X564) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_49,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_50,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,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_47]) ).
cnf(c_0_52,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
fof(c_0_54,plain,
! [X618,X619,X620,X621] :
( ~ cyclic(X618,X619,X620,X621)
| cyclic(X618,X620,X619,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_55,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_29]) ).
cnf(c_0_56,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_53])]) ).
fof(c_0_57,plain,
! [X614,X615,X616,X617] :
( ~ cyclic(X614,X615,X616,X617)
| cyclic(X614,X615,X617,X616) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_58,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_59,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_43])]),c_0_56])]) ).
fof(c_0_60,plain,
! [X622,X623,X624,X625] :
( ~ cyclic(X622,X623,X624,X625)
| cyclic(X623,X622,X624,X625) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_61,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_62,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
fof(c_0_63,plain,
! [X811,X812,X813,X814,X815,X816] :
( ~ cyclic(X811,X812,X813,X814)
| ~ cyclic(X811,X812,X813,X815)
| ~ cyclic(X811,X812,X813,X816)
| ~ eqangle(X813,X811,X813,X812,X816,X814,X816,X815)
| cong(X811,X812,X814,X815) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_64,plain,
! [X861,X862,X863,X864] :
( ~ cyclic(X861,X862,X863,X864)
| ~ para(X861,X862,X863,X864)
| eqangle(X861,X864,X863,X864,X863,X864,X863,X862) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_65,plain,
! [X626,X627,X628,X629,X630] :
( ~ cyclic(X626,X627,X628,X629)
| ~ cyclic(X626,X627,X628,X630)
| cyclic(X627,X628,X629,X630) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_66,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_68,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_63]) ).
cnf(c_0_69,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_64]) ).
cnf(c_0_70,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
fof(c_0_72,plain,
! [X925,X926,X927] :
( ~ cong(X925,X926,X925,X927)
| ~ coll(X925,X926,X927)
| midp(X925,X926,X927) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_73,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_68,c_0_69]) ).
cnf(c_0_74,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_71])]) ).
fof(c_0_75,plain,
! [X912,X913,X914,X915,X916] :
( ~ midp(X916,X912,X913)
| ~ para(X912,X914,X913,X915)
| ~ para(X912,X915,X913,X914)
| midp(X916,X914,X915) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_76,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,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_73,c_0_59])]),c_0_74]),c_0_74]),c_0_74])]) ).
cnf(c_0_78,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_75]) ).
cnf(c_0_79,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_56])]) ).
cnf(c_0_80,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_77,c_0_43]) ).
fof(c_0_81,plain,
! [X873,X874,X875,X876] :
( ~ cong(X873,X875,X874,X875)
| ~ cong(X873,X876,X874,X876)
| ~ cyclic(X873,X874,X875,X876)
| perp(X875,X873,X873,X876) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD57])]) ).
fof(c_0_82,plain,
! [X928,X929,X930] :
( ~ midp(X928,X929,X930)
| cong(X928,X929,X928,X930) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_83,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_43]),c_0_43])]) ).
cnf(c_0_84,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,plain,
( perp(X2,X1,X1,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4)
| ~ cyclic(X1,X3,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
cnf(c_0_86,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_87,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_88,plain,
( perp(X1,X2,X2,X3)
| ~ cong(X2,X3,X4,X3)
| ~ cong(X2,X1,X4,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_74])]) ).
cnf(c_0_89,negated_conjecture,
cong(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
~ perp(esk27_0,esk22_0,esk22_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_91,negated_conjecture,
perp(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_89])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO605+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.12 % 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
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 18:03:39 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 3.59/3.06 % Version : CSE_E---1.7
% 3.59/3.06 % Problem : theBenchmark.p
% 3.59/3.06 % SZS status Theorem for theBenchmark.p
% 3.59/3.06 % SZS output start CNFRefutation
% See solution above
% 3.59/3.07 % Total time : 2.373s
%------------------------------------------------------------------------------