%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO590+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 : n026.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 04:21:37 PM UTC 2026
% Result : Theorem 2.33s 2.02s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 33
% Syntax : Number of formulae : 186 ( 64 unt; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 328 ( 131 ~; 128 |; 35 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-6 aty)
% Number of variables : 545 ( 35 sgn 292 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL416052,conjecture,
! [X3,X4,X5,X8,X1,X6] :
( ( perp(X5,X3,X5,X4)
& midp(X8,X4,X3)
& perp(X3,X4,X3,X1)
& perp(X5,X8,X5,X1)
& coll(X6,X3,X1)
& coll(X6,X4,X5) )
=> cong(X1,X5,X1,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416052) ).
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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD10,axiom,
! [X1,X2,X3,X4,X5,X6] :
( ( para(X1,X2,X3,X4)
& perp(X3,X4,X5,X6) )
=> perp(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD10) ).
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(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(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(ruleD7,axiom,
! [X1,X2,X3,X4] :
( perp(X1,X2,X3,X4)
=> perp(X1,X2,X4,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).
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(ruleD55,axiom,
! [X1,X2,X7,X8] :
( ( midp(X7,X1,X2)
& perp(X8,X7,X1,X2) )
=> cong(X8,X1,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).
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(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(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(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(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(c_0_33,negated_conjecture,
~ ! [X3,X4,X5,X8,X1,X6] :
( ( perp(X5,X3,X5,X4)
& midp(X8,X4,X3)
& perp(X3,X4,X3,X1)
& perp(X5,X8,X5,X1)
& coll(X6,X3,X1)
& coll(X6,X4,X5) )
=> cong(X1,X5,X1,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL416052]) ).
fof(c_0_34,plain,
! [X920,X921,X922] :
( ~ midp(X920,X921,X922)
| coll(X920,X921,X922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_35,negated_conjecture,
( perp(esk23_0,esk21_0,esk23_0,esk22_0)
& midp(esk24_0,esk22_0,esk21_0)
& perp(esk21_0,esk22_0,esk21_0,esk25_0)
& perp(esk23_0,esk24_0,esk23_0,esk25_0)
& coll(esk26_0,esk21_0,esk25_0)
& coll(esk26_0,esk22_0,esk23_0)
& ~ cong(esk25_0,esk23_0,esk25_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_36,plain,
! [X553,X554,X555,X556] :
( ~ coll(X553,X554,X555)
| ~ coll(X553,X554,X556)
| coll(X555,X556,X553) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_37,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,negated_conjecture,
midp(esk24_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_39,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X551,X550,X552) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_40,plain,
! [X917,X918,X919] :
( ~ midp(X917,X918,X919)
| cong(X917,X918,X917,X919) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_41,plain,
! [X591,X592,X593] :
( ~ midp(X593,X592,X591)
| midp(X593,X591,X592) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_42,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,negated_conjecture,
coll(esk24_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
fof(c_0_44,plain,
! [X547,X548,X549] :
( ~ coll(X547,X548,X549)
| coll(X547,X549,X548) ),
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_39]) ).
fof(c_0_46,plain,
! [X672,X673,X674,X675,X676,X677] :
( ~ cong(X672,X673,X674,X675)
| ~ cong(X674,X675,X676,X677)
| cong(X672,X673,X676,X677) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_47,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_48,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( coll(X1,esk21_0,esk24_0)
| ~ coll(esk24_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
coll(esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_43]) ).
cnf(c_0_52,negated_conjecture,
coll(esk26_0,esk21_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_53,plain,
! [X585,X586,X587,X588,X589,X590] :
( ~ para(X585,X586,X587,X588)
| ~ perp(X587,X588,X589,X590)
| perp(X585,X586,X589,X590) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD10])]) ).
fof(c_0_54,plain,
! [X806,X807,X808,X809,X810] :
( ~ midp(X809,X806,X807)
| ~ midp(X810,X806,X808)
| para(X809,X810,X807,X808) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_55,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,negated_conjecture,
cong(esk24_0,esk22_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_47,c_0_38]) ).
cnf(c_0_57,negated_conjecture,
midp(esk24_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_48,c_0_38]) ).
cnf(c_0_58,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
fof(c_0_59,plain,
! [X664,X665,X666,X667] :
( ~ cong(X664,X665,X666,X667)
| cong(X664,X665,X667,X666) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_60,negated_conjecture,
coll(esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_61,negated_conjecture,
coll(esk26_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_50,c_0_52]) ).
cnf(c_0_62,plain,
( perp(X1,X2,X5,X6)
| ~ para(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_63,negated_conjecture,
perp(esk21_0,esk22_0,esk21_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_64,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
fof(c_0_65,plain,
! [X914,X915,X916] :
( ~ cong(X914,X915,X914,X916)
| ~ coll(X914,X915,X916)
| midp(X914,X915,X916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_66,negated_conjecture,
( cong(X1,X2,esk24_0,esk21_0)
| ~ cong(X1,X2,esk24_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_67,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_47,c_0_57]) ).
cnf(c_0_68,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_50,c_0_58]) ).
fof(c_0_69,plain,
! [X668,X669,X670,X671] :
( ~ cong(X668,X669,X670,X671)
| cong(X670,X671,X668,X669) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_70,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( coll(X1,esk24_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_60]) ).
cnf(c_0_72,negated_conjecture,
( coll(X1,esk21_0,esk26_0)
| ~ coll(esk26_0,esk25_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_61]) ).
cnf(c_0_73,negated_conjecture,
( perp(X1,X2,esk21_0,esk25_0)
| ~ para(X1,X2,esk21_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_74,negated_conjecture,
( para(X1,esk24_0,X2,esk22_0)
| ~ midp(X1,esk21_0,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_57]) ).
cnf(c_0_75,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_76,negated_conjecture,
cong(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_77,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_68]) ).
cnf(c_0_78,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_79,negated_conjecture,
cong(esk24_0,esk22_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_70,c_0_56]) ).
cnf(c_0_80,negated_conjecture,
coll(esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_71,c_0_60]) ).
cnf(c_0_81,negated_conjecture,
coll(esk21_0,esk21_0,esk26_0),
inference(spm,[status(thm)],[c_0_72,c_0_61]) ).
fof(c_0_82,plain,
! [X571,X572,X573,X574] :
( ~ perp(X571,X572,X573,X574)
| perp(X571,X572,X574,X573) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_83,negated_conjecture,
( perp(X1,esk24_0,esk21_0,esk25_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_84,negated_conjecture,
midp(esk24_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_85,negated_conjecture,
cong(esk21_0,esk24_0,esk24_0,esk22_0),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
coll(esk24_0,esk22_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
( coll(X1,esk26_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_81]) ).
fof(c_0_88,plain,
! [X575,X576,X577,X578] :
( ~ perp(X575,X576,X577,X578)
| perp(X577,X578,X575,X576) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_89,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_90,negated_conjecture,
perp(esk24_0,esk24_0,esk21_0,esk25_0),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_91,negated_conjecture,
cong(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_66,c_0_85]) ).
cnf(c_0_92,negated_conjecture,
coll(esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_49,c_0_86]) ).
cnf(c_0_93,negated_conjecture,
coll(esk24_0,esk26_0,esk21_0),
inference(spm,[status(thm)],[c_0_87,c_0_58]) ).
fof(c_0_94,plain,
! [X854,X855,X856,X857] :
( ~ midp(X856,X854,X855)
| ~ perp(X857,X856,X854,X855)
| cong(X857,X854,X857,X855) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD55])]) ).
cnf(c_0_95,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_88]) ).
cnf(c_0_96,negated_conjecture,
perp(esk24_0,esk24_0,esk25_0,esk21_0),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_97,negated_conjecture,
cong(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_70,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
coll(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_45,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
coll(esk26_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_93]) ).
cnf(c_0_100,plain,
( cong(X4,X2,X4,X3)
| ~ midp(X1,X2,X3)
| ~ perp(X4,X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,negated_conjecture,
perp(esk25_0,esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
midp(esk21_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_97]),c_0_98])]) ).
cnf(c_0_103,negated_conjecture,
( coll(X1,esk25_0,esk26_0)
| ~ coll(esk26_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_52]) ).
cnf(c_0_104,negated_conjecture,
coll(esk26_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_99]) ).
cnf(c_0_105,negated_conjecture,
cong(esk25_0,esk24_0,esk25_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102])]) ).
cnf(c_0_106,negated_conjecture,
coll(esk25_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_103,c_0_52]) ).
cnf(c_0_107,negated_conjecture,
coll(esk24_0,esk25_0,esk26_0),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
fof(c_0_108,plain,
! [X896,X897,X898,X899,X900] :
( ~ midp(X900,X896,X897)
| ~ midp(X900,X898,X899)
| para(X896,X898,X897,X899) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_109,plain,
! [X987,X988,X989,X990,X991,X992] :
( ( midp(esk6_6(X987,X988,X989,X990,X991,X992),X987,X990)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) )
& ( para(esk6_6(X987,X988,X989,X990,X991,X992),X991,X988,X990)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) )
& ( para(esk6_6(X987,X988,X989,X990,X991,X992),X992,X987,X989)
| ~ midp(X991,X987,X988)
| ~ midp(X992,X989,X990) ) ),
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_110,negated_conjecture,
cong(esk25_0,esk24_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_70,c_0_105]) ).
cnf(c_0_111,negated_conjecture,
coll(esk25_0,esk26_0,esk25_0),
inference(spm,[status(thm)],[c_0_50,c_0_106]) ).
cnf(c_0_112,negated_conjecture,
coll(esk25_0,esk24_0,esk26_0),
inference(spm,[status(thm)],[c_0_45,c_0_107]) ).
cnf(c_0_113,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_114,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_109]) ).
cnf(c_0_115,negated_conjecture,
cong(esk24_0,esk25_0,esk25_0,esk24_0),
inference(spm,[status(thm)],[c_0_78,c_0_110]) ).
cnf(c_0_116,negated_conjecture,
( coll(X1,esk25_0,esk25_0)
| ~ coll(esk25_0,esk26_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
coll(esk25_0,esk26_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_112]) ).
fof(c_0_118,plain,
! [X628,X629,X630,X631,X632,X633,X634,X635] :
( ~ eqangle(X628,X629,X630,X631,X632,X633,X634,X635)
| eqangle(X630,X631,X628,X629,X634,X635,X632,X633) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_119,plain,
! [X782,X783,X784,X785,X786,X787] :
( ~ para(X782,X783,X784,X785)
| eqangle(X782,X783,X786,X787,X784,X785,X786,X787) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_120,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_113,c_0_114]) ).
cnf(c_0_121,negated_conjecture,
cong(esk24_0,esk25_0,esk24_0,esk25_0),
inference(spm,[status(thm)],[c_0_70,c_0_115]) ).
cnf(c_0_122,negated_conjecture,
coll(esk24_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
fof(c_0_123,plain,
! [X776,X777,X778,X779,X780,X781] :
( ~ eqangle(X776,X777,X780,X781,X778,X779,X780,X781)
| para(X776,X777,X778,X779) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_124,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_118]) ).
cnf(c_0_125,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_119]) ).
cnf(c_0_126,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_120,c_0_114]) ).
cnf(c_0_127,negated_conjecture,
midp(esk24_0,esk25_0,esk25_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_121]),c_0_122])]) ).
cnf(c_0_128,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_129,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_130,negated_conjecture,
( para(X1,X1,esk25_0,esk25_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
fof(c_0_131,plain,
! [X911,X912,X913] :
( ~ para(X911,X912,X911,X913)
| coll(X911,X912,X913) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_132,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_133,negated_conjecture,
para(esk25_0,esk25_0,esk25_0,esk25_0),
inference(spm,[status(thm)],[c_0_130,c_0_127]) ).
cnf(c_0_134,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_131]) ).
cnf(c_0_135,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_136,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
fof(c_0_137,plain,
! [X796,X797,X798,X799] :
( ~ eqangle(X798,X796,X798,X797,X799,X796,X799,X797)
| ~ coll(X798,X799,X797)
| cyclic(X796,X797,X798,X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
cnf(c_0_138,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_136]) ).
cnf(c_0_139,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_137]) ).
cnf(c_0_140,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_50,c_0_138]) ).
fof(c_0_141,plain,
! [X607,X608,X609,X610] :
( ~ cyclic(X607,X608,X609,X610)
| cyclic(X607,X609,X608,X610) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_142,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_125]) ).
cnf(c_0_143,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_140]),c_0_140])]) ).
fof(c_0_144,plain,
! [X603,X604,X605,X606] :
( ~ cyclic(X603,X604,X605,X606)
| cyclic(X603,X604,X606,X605) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_145,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_141]) ).
cnf(c_0_146,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_142,c_0_135])]),c_0_143])]) ).
fof(c_0_147,plain,
! [X611,X612,X613,X614] :
( ~ cyclic(X611,X612,X613,X614)
| cyclic(X612,X611,X613,X614) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_148,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_149,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
fof(c_0_150,plain,
! [X800,X801,X802,X803,X804,X805] :
( ~ cyclic(X800,X801,X802,X803)
| ~ cyclic(X800,X801,X802,X804)
| ~ cyclic(X800,X801,X802,X805)
| ~ eqangle(X802,X800,X802,X801,X805,X803,X805,X804)
| cong(X800,X801,X803,X804) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_151,plain,
! [X788,X789,X790,X791] :
( ~ cyclic(X788,X789,X790,X791)
| eqangle(X790,X788,X790,X789,X791,X788,X791,X789) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_152,plain,
! [X615,X616,X617,X618,X619] :
( ~ cyclic(X615,X616,X617,X618)
| ~ cyclic(X615,X616,X617,X619)
| cyclic(X616,X617,X618,X619) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_153,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_154,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_148,c_0_149]) ).
fof(c_0_155,plain,
! [X811,X812,X813,X814,X815] :
( ~ midp(X814,X811,X812)
| ~ para(X814,X815,X812,X813)
| ~ coll(X815,X811,X813)
| midp(X815,X811,X813) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_156,plain,
! [X557,X558,X559,X560] :
( ~ para(X557,X558,X559,X560)
| para(X557,X558,X560,X559) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_157,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_150]) ).
cnf(c_0_158,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_159,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_160,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_153,c_0_154]) ).
cnf(c_0_161,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_155]) ).
cnf(c_0_162,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_163,plain,
( cong(X1,X2,X1,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]) ).
cnf(c_0_164,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_160])]) ).
fof(c_0_165,plain,
! [X816,X817,X818] :
( ~ cong(X818,X816,X818,X817)
| eqangle(X818,X816,X816,X817,X816,X817,X818,X817) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_166,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_143])]) ).
cnf(c_0_167,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_162,c_0_135]) ).
cnf(c_0_168,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_143])]) ).
cnf(c_0_169,plain,
cong(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_149])]),c_0_164]),c_0_164])]) ).
fof(c_0_170,plain,
! [X561,X562,X563,X564] :
( ~ para(X561,X562,X563,X564)
| para(X563,X564,X561,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_171,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_172,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_173,plain,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_174,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_175,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_128,c_0_171]) ).
cnf(c_0_176,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_172,c_0_173]) ).
cnf(c_0_177,plain,
( para(X1,X2,X1,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]) ).
cnf(c_0_178,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_47,c_0_176]) ).
cnf(c_0_179,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_166,c_0_135]) ).
cnf(c_0_180,plain,
para(X1,X2,X1,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).
cnf(c_0_181,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_179,c_0_173]) ).
cnf(c_0_182,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_180]),c_0_181])]) ).
cnf(c_0_183,negated_conjecture,
~ cong(esk25_0,esk23_0,esk25_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_184,plain,
cong(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_182])]) ).
cnf(c_0_185,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_184])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO590+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
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 4 18:03:53 EDT 2026
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % start to proof: theBenchmark
% 2.33/2.02 % Version : CSE_E---1.7
% 2.33/2.02 % Problem : theBenchmark.p
% 2.33/2.02 % SZS status Theorem for theBenchmark.p
% 2.33/2.02 % SZS output start CNFRefutation
% See solution above
% 2.46/2.03 % Total time : 1.371s
%------------------------------------------------------------------------------