%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO647+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 04:21:47 PM UTC 2026
% Result : Theorem 1.66s 1.81s
% Output : CNFRefutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 21
% Syntax : Number of formulae : 149 ( 62 unt; 0 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 241 ( 100 ~; 95 |; 24 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 305 ( 0 sgn 188 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0156,conjecture,
! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X4,X1,X3)
& midp(X5,X2,X1)
& midp(X6,X3,X2)
& para(X1,X6,X13,X4)
& para(X1,X3,X13,X6) )
=> para(X3,X5,X13,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0156) ).
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(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(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(ruleD6,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& para(X3,X4,X5,X6) )
=> para(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD6) ).
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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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/sandbox/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/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD70) ).
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(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(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(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(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(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(c_0_21,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13] :
( ( midp(X4,X1,X3)
& midp(X5,X2,X1)
& midp(X6,X3,X2)
& para(X1,X6,X13,X4)
& para(X1,X3,X13,X6) )
=> para(X3,X5,X13,X2) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0156]) ).
fof(c_0_22,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])]) ).
fof(c_0_23,negated_conjecture,
( midp(esk24_0,esk21_0,esk23_0)
& midp(esk25_0,esk22_0,esk21_0)
& midp(esk26_0,esk23_0,esk22_0)
& para(esk21_0,esk26_0,esk27_0,esk24_0)
& para(esk21_0,esk23_0,esk27_0,esk26_0)
& ~ para(esk23_0,esk25_0,esk27_0,esk22_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])]) ).
fof(c_0_24,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])]) ).
cnf(c_0_25,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,negated_conjecture,
para(esk21_0,esk26_0,esk27_0,esk24_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_27,plain,
! [X921,X922,X923] :
( ~ midp(X921,X922,X923)
| coll(X921,X922,X923) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
cnf(c_0_28,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_29,negated_conjecture,
para(esk27_0,esk24_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
fof(c_0_30,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_31,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,negated_conjecture,
midp(esk24_0,esk21_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_33,plain,
! [X566,X567,X568,X569,X570,X571] :
( ~ para(X566,X567,X568,X569)
| ~ para(X568,X569,X570,X571)
| para(X566,X567,X570,X571) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD6])]) ).
cnf(c_0_34,negated_conjecture,
para(esk27_0,esk24_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
fof(c_0_35,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_36,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_37,negated_conjecture,
coll(esk24_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
fof(c_0_38,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_39,plain,
( para(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ para(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,negated_conjecture,
para(esk26_0,esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_25,c_0_34]) ).
fof(c_0_41,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_42,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,negated_conjecture,
coll(esk21_0,esk24_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_44,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( para(X1,X2,esk27_0,esk24_0)
| ~ para(X1,X2,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_46,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
coll(esk21_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( coll(esk27_0,X1,esk24_0)
| ~ para(esk27_0,X1,esk26_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
( coll(X1,esk24_0,esk21_0)
| ~ coll(esk21_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_50,negated_conjecture,
coll(esk27_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_48,c_0_34]) ).
cnf(c_0_51,negated_conjecture,
coll(esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
coll(esk24_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_36,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
coll(esk24_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
coll(esk27_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_56,negated_conjecture,
coll(esk21_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_36,c_0_55]) ).
fof(c_0_57,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_58,negated_conjecture,
( coll(X1,esk23_0,esk21_0)
| ~ coll(esk21_0,esk24_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_43]) ).
cnf(c_0_59,negated_conjecture,
coll(esk21_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_56]) ).
fof(c_0_60,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])]) ).
cnf(c_0_61,negated_conjecture,
para(esk21_0,esk26_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_28,c_0_26]) ).
cnf(c_0_62,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
midp(esk26_0,esk23_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_64,negated_conjecture,
coll(esk23_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_43]) ).
cnf(c_0_65,negated_conjecture,
coll(esk27_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_66,negated_conjecture,
para(esk21_0,esk23_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_67,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_60]) ).
cnf(c_0_68,negated_conjecture,
para(esk24_0,esk27_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_25,c_0_61]) ).
cnf(c_0_69,negated_conjecture,
midp(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_70,negated_conjecture,
coll(esk23_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_42,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
coll(esk23_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_36,c_0_65]) ).
cnf(c_0_72,negated_conjecture,
para(esk27_0,esk26_0,esk21_0,esk23_0),
inference(spm,[status(thm)],[c_0_25,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( midp(esk27_0,X1,esk26_0)
| ~ midp(esk24_0,X1,esk21_0)
| ~ coll(esk27_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_74,negated_conjecture,
midp(esk24_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_75,negated_conjecture,
( para(X1,X2,esk21_0,esk26_0)
| ~ para(X1,X2,esk27_0,esk24_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_29]) ).
cnf(c_0_76,negated_conjecture,
coll(esk26_0,esk22_0,esk23_0),
inference(spm,[status(thm)],[c_0_31,c_0_69]) ).
cnf(c_0_77,negated_conjecture,
( coll(X1,esk23_0,esk23_0)
| ~ coll(esk23_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_70]) ).
cnf(c_0_78,negated_conjecture,
coll(esk23_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_71]) ).
cnf(c_0_79,negated_conjecture,
para(esk27_0,esk26_0,esk23_0,esk21_0),
inference(spm,[status(thm)],[c_0_28,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
( midp(esk27_0,esk23_0,esk26_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
para(esk21_0,esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_26]) ).
cnf(c_0_82,negated_conjecture,
( coll(X1,esk23_0,esk26_0)
| ~ coll(esk26_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
coll(esk27_0,esk23_0,esk23_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
fof(c_0_84,plain,
! [X918,X919,X920] :
( ~ midp(X918,X919,X920)
| cong(X918,X919,X918,X920) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_85,negated_conjecture,
( midp(esk26_0,X1,esk21_0)
| ~ midp(esk27_0,X1,esk23_0)
| ~ coll(esk26_0,X1,esk21_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( midp(esk27_0,esk26_0,esk23_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
coll(esk21_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_44,c_0_81]) ).
cnf(c_0_88,negated_conjecture,
coll(esk23_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_82,c_0_76]) ).
cnf(c_0_89,negated_conjecture,
coll(esk23_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_36,c_0_83]) ).
cnf(c_0_90,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_84]) ).
cnf(c_0_91,negated_conjecture,
( midp(esk26_0,esk26_0,esk21_0)
| ~ coll(esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
coll(esk26_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_36,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( coll(X1,esk26_0,esk23_0)
| ~ coll(esk23_0,esk23_0,X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
coll(esk23_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_89]) ).
fof(c_0_95,plain,
! [X954,X955,X956,X957,X958,X959,X960,X961] :
( ~ eqratio(X954,X955,X956,X957,X958,X959,X960,X961)
| ~ cong(X958,X959,X960,X961)
| cong(X954,X955,X956,X957) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_96,plain,
! [X924,X925,X926,X927,X928,X929] :
( ~ midp(X928,X924,X925)
| ~ midp(X929,X926,X927)
| eqratio(X928,X924,X924,X925,X929,X926,X926,X927) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_97,negated_conjecture,
( cong(esk26_0,esk26_0,esk26_0,esk21_0)
| ~ coll(esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
coll(esk26_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_42,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
coll(esk27_0,esk26_0,esk23_0),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_100,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_95]) ).
cnf(c_0_101,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_96]) ).
cnf(c_0_102,negated_conjecture,
( cong(esk26_0,esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_97,c_0_98])]) ).
cnf(c_0_103,negated_conjecture,
coll(esk27_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_42,c_0_99]) ).
cnf(c_0_104,negated_conjecture,
( midp(esk26_0,esk26_0,esk21_0)
| ~ coll(esk27_0,esk23_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_98])]) ).
cnf(c_0_105,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_100,c_0_101]) ).
cnf(c_0_106,negated_conjecture,
cong(esk26_0,esk26_0,esk26_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).
cnf(c_0_107,negated_conjecture,
midp(esk26_0,esk26_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).
fof(c_0_108,plain,
! [X938,X939,X940,X941,X942,X943,X944,X945] :
( ~ eqangle(X938,X939,X940,X941,X942,X943,X944,X945)
| ~ para(X942,X943,X944,X945)
| para(X938,X939,X940,X941) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_109,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])]) ).
fof(c_0_110,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_111,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_105,c_0_106]),c_0_107])]) ).
cnf(c_0_112,negated_conjecture,
midp(esk27_0,esk23_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_103])]) ).
cnf(c_0_113,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_108]) ).
cnf(c_0_114,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_115,negated_conjecture,
para(esk26_0,esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_75,c_0_40]) ).
fof(c_0_116,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_117,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_110]) ).
cnf(c_0_118,negated_conjecture,
cong(esk27_0,esk23_0,esk23_0,esk26_0),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_119,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_120,negated_conjecture,
para(esk26_0,esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_28,c_0_115]) ).
fof(c_0_121,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_122,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_116]) ).
cnf(c_0_123,negated_conjecture,
cong(esk23_0,esk26_0,esk27_0,esk23_0),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_124,negated_conjecture,
coll(esk23_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_36,c_0_103]) ).
fof(c_0_125,plain,
! [X807,X808,X809,X810,X811] :
( ~ midp(X810,X807,X808)
| ~ midp(X811,X807,X809)
| para(X810,X811,X808,X809) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_126,negated_conjecture,
midp(esk25_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_127,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_128,negated_conjecture,
para(esk26_0,esk26_0,esk26_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_106]),c_0_120])]) ).
cnf(c_0_129,negated_conjecture,
para(esk23_0,esk21_0,esk27_0,esk26_0),
inference(spm,[status(thm)],[c_0_25,c_0_79]) ).
cnf(c_0_130,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_121]) ).
cnf(c_0_131,negated_conjecture,
cong(esk23_0,esk26_0,esk23_0,esk27_0),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_132,negated_conjecture,
coll(esk23_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_42,c_0_124]) ).
cnf(c_0_133,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_134,negated_conjecture,
midp(esk25_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_62,c_0_126]) ).
cnf(c_0_135,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_127]) ).
cnf(c_0_136,negated_conjecture,
para(esk26_0,esk21_0,esk26_0,esk26_0),
inference(spm,[status(thm)],[c_0_25,c_0_128]) ).
cnf(c_0_137,negated_conjecture,
( midp(esk21_0,X1,esk26_0)
| ~ midp(esk23_0,X1,esk27_0)
| ~ coll(esk21_0,X1,esk26_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_129]) ).
cnf(c_0_138,negated_conjecture,
midp(esk23_0,esk26_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132])]) ).
cnf(c_0_139,negated_conjecture,
~ para(esk23_0,esk25_0,esk27_0,esk22_0),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_140,negated_conjecture,
( para(X1,esk25_0,X2,esk22_0)
| ~ midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_141,negated_conjecture,
para(esk21_0,esk23_0,esk26_0,esk27_0),
inference(spm,[status(thm)],[c_0_28,c_0_66]) ).
cnf(c_0_142,negated_conjecture,
( midp(X1,esk26_0,esk21_0)
| ~ midp(X1,esk26_0,esk26_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_128])]) ).
cnf(c_0_143,negated_conjecture,
midp(esk21_0,esk26_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_138]),c_0_87])]) ).
cnf(c_0_144,negated_conjecture,
~ midp(esk23_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( midp(esk23_0,X1,esk27_0)
| ~ midp(esk21_0,X1,esk26_0)
| ~ coll(esk23_0,X1,esk27_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_141]) ).
cnf(c_0_146,negated_conjecture,
midp(esk21_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_142,c_0_143]) ).
cnf(c_0_147,negated_conjecture,
~ midp(esk21_0,esk21_0,esk26_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_78])]) ).
cnf(c_0_148,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_146]),c_0_147]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO647+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
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 18:07:08 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.66/1.81 % Version : CSE_E---1.7
% 1.66/1.81 % Problem : theBenchmark.p
% 1.66/1.81 % SZS status Theorem for theBenchmark.p
% 1.66/1.81 % SZS output start CNFRefutation
% See solution above
% 1.66/1.82 % Total time : 1.374s
%------------------------------------------------------------------------------