%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO652+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 04:21:48 PM UTC 2026
% Result : Theorem 3.18s 2.98s
% Output : CNFRefutation 3.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 27
% Syntax : Number of formulae : 127 ( 28 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 15 ( 2 avg)
% Number of connectives : 312 ( 115 ~; 112 |; 57 &)
% ( 0 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 24 ( 24 usr; 22 con; 0-6 aty)
% Number of variables : 529 ( 40 sgn 282 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ruleD9,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( perp(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).
fof(ruleX11,axiom,
! [X1,X2,X3,X8] :
? [X9] :
( circle(X8,X1,X2,X3)
=> perp(X9,X1,X1,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).
fof(ruleD8,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X3,X4,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).
fof(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(exemplo6GDDFULLmoreE02213,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( circle(X1,X2,X21,X22)
& circle(X3,X2,X23,X24)
& circle(X1,X2,X4,X25)
& circle(X3,X2,X4,X26)
& circle(X3,X2,X5,X27)
& circle(X3,X2,X6,X28)
& coll(X4,X5,X13)
& circle(X1,X4,X13,X29)
& coll(X2,X6,X14)
& circle(X1,X2,X14,X30)
& coll(X4,X14,X19)
& circle(X3,X4,X19,X31)
& coll(X2,X13,X20)
& circle(X3,X2,X20,X32) )
=> para(X5,X6,X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02213) ).
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(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(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(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(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(ruleD51,axiom,
! [X1,X2,X3,X8,X7] :
( ( circle(X8,X1,X2,X3)
& coll(X7,X2,X3)
& eqangle(X1,X2,X1,X3,X8,X2,X8,X7) )
=> midp(X7,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD51) ).
fof(ruleD41,axiom,
! [X1,X2,X9,X10] :
( cyclic(X1,X2,X9,X10)
=> eqangle(X9,X1,X9,X2,X10,X1,X10,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).
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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD73) ).
fof(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(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(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(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(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(ruleD44,axiom,
! [X1,X2,X3,X5,X6] :
( ( midp(X5,X1,X2)
& midp(X6,X1,X3) )
=> para(X5,X6,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).
fof(c_0_27,plain,
! [X609,X610,X611,X612,X613,X614] :
( ~ perp(X609,X610,X611,X612)
| ~ perp(X611,X612,X613,X614)
| para(X609,X610,X613,X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_28,plain,
! [X1051,X1052,X1053,X1054] :
( ~ circle(X1054,X1051,X1052,X1053)
| perp(esk12_4(X1051,X1052,X1053,X1054),X1051,X1051,X1054) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_29,plain,
! [X605,X606,X607,X608] :
( ~ perp(X605,X606,X607,X608)
| perp(X607,X608,X605,X606) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_30,plain,
! [X658,X659,X660,X661,X662,X663,X664,X665] :
( ~ eqangle(X658,X659,X660,X661,X662,X663,X664,X665)
| eqangle(X660,X661,X658,X659,X664,X665,X662,X663) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_31,plain,
! [X812,X813,X814,X815,X816,X817] :
( ~ para(X812,X813,X814,X815)
| eqangle(X812,X813,X816,X817,X814,X815,X816,X817) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_32,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_35,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
( ( circle(X1,X2,X21,X22)
& circle(X3,X2,X23,X24)
& circle(X1,X2,X4,X25)
& circle(X3,X2,X4,X26)
& circle(X3,X2,X5,X27)
& circle(X3,X2,X6,X28)
& coll(X4,X5,X13)
& circle(X1,X4,X13,X29)
& coll(X2,X6,X14)
& circle(X1,X2,X14,X30)
& coll(X4,X14,X19)
& circle(X3,X4,X19,X31)
& coll(X2,X13,X20)
& circle(X3,X2,X20,X32) )
=> para(X5,X6,X19,X20) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE02213]) ).
fof(c_0_36,plain,
! [X806,X807,X808,X809,X810,X811] :
( ~ eqangle(X806,X807,X810,X811,X808,X809,X810,X811)
| para(X806,X807,X808,X809) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_37,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_30]) ).
cnf(c_0_38,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_39,plain,
( para(X1,X2,X3,X4)
| ~ circle(X4,X3,X5,X6)
| ~ perp(X1,X2,esk12_4(X3,X5,X6,X4),X3) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_34,c_0_33]) ).
fof(c_0_41,negated_conjecture,
( circle(esk21_0,esk22_0,esk31_0,esk32_0)
& circle(esk23_0,esk22_0,esk33_0,esk34_0)
& circle(esk21_0,esk22_0,esk24_0,esk35_0)
& circle(esk23_0,esk22_0,esk24_0,esk36_0)
& circle(esk23_0,esk22_0,esk25_0,esk37_0)
& circle(esk23_0,esk22_0,esk26_0,esk38_0)
& coll(esk24_0,esk25_0,esk27_0)
& circle(esk21_0,esk24_0,esk27_0,esk39_0)
& coll(esk22_0,esk26_0,esk28_0)
& circle(esk21_0,esk22_0,esk28_0,esk40_0)
& coll(esk24_0,esk28_0,esk29_0)
& circle(esk23_0,esk24_0,esk29_0,esk41_0)
& coll(esk22_0,esk27_0,esk30_0)
& circle(esk23_0,esk22_0,esk30_0,esk42_0)
& ~ para(esk25_0,esk26_0,esk29_0,esk30_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_45,negated_conjecture,
circle(esk23_0,esk24_0,esk29_0,esk41_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_46,plain,
! [X941,X942,X943] :
( ~ para(X941,X942,X941,X943)
| coll(X941,X942,X943) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_47,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
para(esk24_0,esk23_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
fof(c_0_49,plain,
! [X580,X581,X582] :
( ~ coll(X580,X581,X582)
| coll(X581,X580,X582) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_50,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_51,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
fof(c_0_52,plain,
! [X577,X578,X579] :
( ~ coll(X577,X578,X579)
| coll(X577,X579,X578) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_53,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_55,plain,
! [X826,X827,X828,X829] :
( ~ eqangle(X828,X826,X828,X827,X829,X826,X829,X827)
| ~ coll(X828,X829,X827)
| cyclic(X826,X827,X828,X829) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_56,plain,
! [X583,X584,X585,X586] :
( ~ coll(X583,X584,X585)
| ~ coll(X583,X584,X586)
| coll(X585,X586,X583) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_57,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,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_55]) ).
cnf(c_0_60,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_61,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
fof(c_0_62,plain,
! [X637,X638,X639,X640] :
( ~ cyclic(X637,X638,X639,X640)
| cyclic(X637,X639,X638,X640) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_63,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_59,c_0_38]) ).
cnf(c_0_64,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_61])]) ).
fof(c_0_65,plain,
! [X633,X634,X635,X636] :
( ~ cyclic(X633,X634,X635,X636)
| cyclic(X633,X634,X636,X635) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_66,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_67,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_51])]),c_0_64])]) ).
fof(c_0_68,plain,
! [X867,X868,X869,X870,X871] :
( ~ circle(X870,X867,X868,X869)
| ~ coll(X871,X868,X869)
| ~ eqangle(X867,X868,X867,X869,X870,X868,X870,X871)
| midp(X871,X868,X869) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_69,plain,
! [X818,X819,X820,X821] :
( ~ cyclic(X818,X819,X820,X821)
| eqangle(X820,X818,X820,X819,X821,X818,X821,X819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_70,plain,
! [X641,X642,X643,X644] :
( ~ cyclic(X641,X642,X643,X644)
| cyclic(X642,X641,X643,X644) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_71,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_72,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,plain,
( midp(X5,X3,X4)
| ~ circle(X1,X2,X3,X4)
| ~ coll(X5,X3,X4)
| ~ eqangle(X2,X3,X2,X4,X1,X3,X1,X5) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
fof(c_0_75,plain,
! [X645,X646,X647,X648,X649] :
( ~ cyclic(X645,X646,X647,X648)
| ~ cyclic(X645,X646,X647,X649)
| cyclic(X646,X647,X648,X649) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_76,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_77,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
fof(c_0_78,plain,
! [X841,X842,X843,X844,X845] :
( ~ midp(X844,X841,X842)
| ~ para(X844,X845,X842,X843)
| ~ coll(X845,X841,X843)
| midp(X845,X841,X843) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_79,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_80,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_81,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,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_78]) ).
cnf(c_0_83,plain,
( midp(X1,X2,X1)
| ~ cyclic(X2,X1,X3,X4)
| ~ circle(X4,X3,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_58])]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_81])]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_64])]) ).
cnf(c_0_86,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84])]) ).
cnf(c_0_87,negated_conjecture,
circle(esk23_0,esk22_0,esk30_0,esk42_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_88,plain,
! [X621,X622,X623] :
( ~ midp(X623,X622,X621)
| midp(X623,X621,X622) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_89,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_85,c_0_51]) ).
cnf(c_0_90,negated_conjecture,
midp(esk42_0,esk30_0,esk42_0),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
fof(c_0_91,plain,
! [X967,X968,X969,X970,X971,X972,X973,X974] :
( ~ eqangle(X967,X968,X969,X970,X971,X972,X973,X974)
| ~ para(X971,X972,X973,X974)
| para(X967,X968,X969,X970) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_92,plain,
! [X846,X847,X848] :
( ~ cong(X848,X846,X848,X847)
| eqangle(X848,X846,X846,X847,X846,X847,X848,X847) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_93,plain,
! [X947,X948,X949] :
( ~ midp(X947,X948,X949)
| cong(X947,X948,X947,X949) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_94,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_95,negated_conjecture,
midp(X1,esk30_0,X1),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_96,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_91]) ).
cnf(c_0_97,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_98,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_93]) ).
cnf(c_0_99,negated_conjecture,
midp(X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_100,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,negated_conjecture,
cong(X1,X1,X1,esk30_0),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
fof(c_0_102,plain,
! [X931,X932,X933,X934,X935] :
( ~ midp(X935,X931,X932)
| ~ para(X931,X933,X932,X934)
| ~ para(X931,X934,X932,X933)
| midp(X935,X933,X934) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_103,negated_conjecture,
para(X1,X1,X1,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_51])]) ).
cnf(c_0_104,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_102]) ).
cnf(c_0_105,negated_conjecture,
( midp(X1,X2,esk30_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_103]) ).
fof(c_0_106,plain,
! [X1017,X1018,X1019,X1020,X1021,X1022] :
( ( midp(esk6_6(X1017,X1018,X1019,X1020,X1021,X1022),X1017,X1020)
| ~ midp(X1021,X1017,X1018)
| ~ midp(X1022,X1019,X1020) )
& ( para(esk6_6(X1017,X1018,X1019,X1020,X1021,X1022),X1021,X1018,X1020)
| ~ midp(X1021,X1017,X1018)
| ~ midp(X1022,X1019,X1020) )
& ( para(esk6_6(X1017,X1018,X1019,X1020,X1021,X1022),X1022,X1017,X1019)
| ~ midp(X1021,X1017,X1018)
| ~ midp(X1022,X1019,X1020) ) ),
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_107,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_51])]) ).
cnf(c_0_108,negated_conjecture,
midp(X1,esk30_0,esk30_0),
inference(spm,[status(thm)],[c_0_105,c_0_95]) ).
fof(c_0_109,plain,
! [X587,X588,X589,X590] :
( ~ para(X587,X588,X589,X590)
| para(X587,X588,X590,X589) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_110,plain,
( para(esk6_6(X1,X2,X3,X4,X5,X6),X5,X2,X4)
| ~ midp(X5,X1,X2)
| ~ midp(X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_111,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_112,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_113,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_82,c_0_110]) ).
cnf(c_0_114,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_89,c_0_111]) ).
cnf(c_0_115,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_112,c_0_51]) ).
cnf(c_0_116,plain,
( midp(X1,X2,X3)
| ~ midp(esk6_6(X4,X5,X6,X3,X1,X7),X2,X5)
| ~ midp(X7,X6,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_64])]) ).
cnf(c_0_117,negated_conjecture,
midp(X1,X2,esk30_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_114])]) ).
cnf(c_0_118,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_115]) ).
fof(c_0_119,plain,
! [X836,X837,X838,X839,X840] :
( ~ midp(X839,X836,X837)
| ~ midp(X840,X836,X838)
| para(X839,X840,X837,X838) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_120,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X4,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_117])]) ).
cnf(c_0_121,negated_conjecture,
midp(esk30_0,X1,X2),
inference(spm,[status(thm)],[c_0_118,c_0_117]) ).
cnf(c_0_122,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_123,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_124,negated_conjecture,
~ para(esk25_0,esk26_0,esk29_0,esk30_0),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_125,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_122,c_0_123]),c_0_123])]) ).
cnf(c_0_126,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_124,c_0_125])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO652+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 18:05:15 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 3.18/2.98 % Version : CSE_E---1.7
% 3.18/2.98 % Problem : theBenchmark.p
% 3.18/2.98 % SZS status Theorem for theBenchmark.p
% 3.18/2.98 % SZS output start CNFRefutation
% See solution above
% 3.18/2.98 % Total time : 2.373s
%------------------------------------------------------------------------------