%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO552+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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:21:30 PM UTC 2026
% Result : Theorem 1.98s 1.89s
% Output : CNFRefutation 2.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 30
% Syntax : Number of formulae : 183 ( 65 unt; 0 def)
% Number of atoms : 379 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 329 ( 133 ~; 130 |; 35 &)
% ( 0 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-6 aty)
% Number of variables : 565 ( 46 sgn 288 !; 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(exemplo6GDDFULL012012,conjecture,
! [X1,X2,X3,X8,X4,X5,X6,X19] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X3,X2,X4)
& circle(X8,X1,X4,X19)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& midp(X6,X2,X1) )
=> perp(X6,X5,X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012012) ).
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(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(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(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(ruleD2,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD2) ).
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(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(ruleD1,axiom,
! [X1,X2,X3] :
( coll(X1,X2,X3)
=> coll(X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).
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(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(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(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(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(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(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(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(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(ruleD56,axiom,
! [X1,X2,X9,X10] :
( ( cong(X1,X9,X2,X9)
& cong(X1,X10,X2,X10) )
=> perp(X1,X2,X9,X10) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).
fof(c_0_30,plain,
! [X582,X583,X584,X585,X586,X587] :
( ~ perp(X582,X583,X584,X585)
| ~ perp(X584,X585,X586,X587)
| para(X582,X583,X586,X587) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
fof(c_0_31,plain,
! [X1024,X1025,X1026,X1027] :
( ~ circle(X1027,X1024,X1025,X1026)
| perp(esk12_4(X1024,X1025,X1026,X1027),X1024,X1024,X1027) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleX11])])])]) ).
fof(c_0_32,plain,
! [X578,X579,X580,X581] :
( ~ perp(X578,X579,X580,X581)
| perp(X580,X581,X578,X579) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
cnf(c_0_33,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
( perp(esk12_4(X2,X3,X4,X1),X2,X2,X1)
| ~ circle(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,negated_conjecture,
~ ! [X1,X2,X3,X8,X4,X5,X6,X19] :
( ( circle(X8,X1,X2,X3)
& perp(X1,X3,X2,X4)
& circle(X8,X1,X4,X19)
& coll(X5,X1,X3)
& coll(X5,X2,X4)
& midp(X6,X2,X1) )
=> perp(X6,X5,X3,X4) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012012]) ).
cnf(c_0_37,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_33,c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,esk12_4(X1,X3,X4,X2),X1)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_35,c_0_34]) ).
fof(c_0_39,negated_conjecture,
( circle(esk24_0,esk21_0,esk22_0,esk23_0)
& perp(esk21_0,esk23_0,esk22_0,esk25_0)
& circle(esk24_0,esk21_0,esk25_0,esk28_0)
& coll(esk26_0,esk21_0,esk23_0)
& coll(esk26_0,esk22_0,esk25_0)
& midp(esk27_0,esk22_0,esk21_0)
& ~ perp(esk27_0,esk26_0,esk23_0,esk25_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
fof(c_0_40,plain,
! [X560,X561,X562,X563] :
( ~ para(X560,X561,X562,X563)
| para(X560,X561,X563,X562) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_41,plain,
( para(X1,X2,X1,X2)
| ~ circle(X2,X1,X3,X4) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
circle(esk24_0,esk21_0,esk22_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_43,plain,
! [X923,X924,X925] :
( ~ midp(X923,X924,X925)
| coll(X923,X924,X925) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD69])]) ).
fof(c_0_44,plain,
! [X564,X565,X566,X567] :
( ~ para(X564,X565,X566,X567)
| para(X566,X567,X564,X565) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_45,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_46,negated_conjecture,
para(esk21_0,esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
fof(c_0_47,plain,
! [X556,X557,X558,X559] :
( ~ coll(X556,X557,X558)
| ~ coll(X556,X557,X559)
| coll(X558,X559,X556) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_48,plain,
( coll(X1,X2,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,negated_conjecture,
midp(esk27_0,esk22_0,esk21_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
para(esk21_0,esk24_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
fof(c_0_52,plain,
! [X920,X921,X922] :
( ~ midp(X920,X921,X922)
| cong(X920,X921,X920,X922) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
fof(c_0_53,plain,
! [X594,X595,X596] :
( ~ midp(X596,X595,X594)
| midp(X596,X594,X595) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_54,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_55,negated_conjecture,
coll(esk27_0,esk22_0,esk21_0),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
fof(c_0_56,plain,
! [X553,X554,X555] :
( ~ coll(X553,X554,X555)
| coll(X554,X553,X555) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
fof(c_0_57,plain,
! [X914,X915,X916] :
( ~ para(X914,X915,X914,X916)
| coll(X914,X915,X916) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_58,negated_conjecture,
para(esk24_0,esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
fof(c_0_59,plain,
! [X675,X676,X677,X678,X679,X680] :
( ~ cong(X675,X676,X677,X678)
| ~ cong(X677,X678,X679,X680)
| cong(X675,X676,X679,X680) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD25])]) ).
cnf(c_0_60,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_61,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
fof(c_0_62,plain,
! [X550,X551,X552] :
( ~ coll(X550,X551,X552)
| coll(X550,X552,X551) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_63,negated_conjecture,
( coll(X1,esk21_0,esk27_0)
| ~ coll(esk27_0,esk22_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_64,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_65,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,negated_conjecture,
para(esk24_0,esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_45,c_0_58]) ).
fof(c_0_67,plain,
! [X904,X905,X906,X907,X908] :
( ~ midp(X908,X904,X905)
| ~ para(X904,X906,X905,X907)
| ~ para(X904,X907,X905,X906)
| midp(X908,X906,X907) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_68,plain,
( cong(X1,X2,X5,X6)
| ~ cong(X1,X2,X3,X4)
| ~ cong(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,negated_conjecture,
cong(esk27_0,esk22_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_60,c_0_49]) ).
cnf(c_0_70,negated_conjecture,
midp(esk27_0,esk21_0,esk22_0),
inference(spm,[status(thm)],[c_0_61,c_0_49]) ).
cnf(c_0_71,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_72,negated_conjecture,
coll(esk21_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_63,c_0_55]) ).
cnf(c_0_73,negated_conjecture,
coll(esk22_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_55]) ).
cnf(c_0_74,negated_conjecture,
coll(esk24_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_75,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_67]) ).
fof(c_0_76,plain,
! [X917,X918,X919] :
( ~ cong(X917,X918,X917,X919)
| ~ coll(X917,X918,X919)
| midp(X917,X918,X919) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_77,negated_conjecture,
( cong(X1,X2,esk27_0,esk21_0)
| ~ cong(X1,X2,esk27_0,esk22_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_78,negated_conjecture,
cong(esk27_0,esk21_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_60,c_0_70]) ).
cnf(c_0_79,negated_conjecture,
coll(esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_71,c_0_72]) ).
cnf(c_0_80,negated_conjecture,
coll(esk22_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_71,c_0_73]) ).
cnf(c_0_81,negated_conjecture,
coll(esk21_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( midp(X1,esk24_0,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_46]),c_0_46])]) ).
cnf(c_0_83,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_84,negated_conjecture,
cong(esk27_0,esk21_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_85,negated_conjecture,
coll(esk27_0,esk21_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_79]) ).
cnf(c_0_86,negated_conjecture,
( coll(X1,esk27_0,esk22_0)
| ~ coll(esk22_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_80]) ).
cnf(c_0_87,negated_conjecture,
coll(esk21_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_65,c_0_46]) ).
cnf(c_0_88,negated_conjecture,
( coll(X1,esk27_0,esk21_0)
| ~ coll(esk21_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_72]) ).
cnf(c_0_89,negated_conjecture,
coll(esk21_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_81]) ).
fof(c_0_90,plain,
! [X667,X668,X669,X670] :
( ~ cong(X667,X668,X669,X670)
| cong(X667,X668,X670,X669) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_91,negated_conjecture,
( cong(X1,esk24_0,X1,esk24_0)
| ~ midp(X1,esk21_0,esk21_0) ),
inference(spm,[status(thm)],[c_0_60,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
midp(esk27_0,esk21_0,esk21_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_93,negated_conjecture,
coll(esk27_0,esk27_0,esk22_0),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
fof(c_0_94,plain,
! [X899,X900,X901,X902,X903] :
( ~ midp(X903,X899,X900)
| ~ midp(X903,X901,X902)
| para(X899,X901,X900,X902) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_95,plain,
! [X990,X991,X992,X993,X994,X995] :
( ( midp(esk6_6(X990,X991,X992,X993,X994,X995),X990,X993)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) )
& ( para(esk6_6(X990,X991,X992,X993,X994,X995),X994,X991,X993)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) )
& ( para(esk6_6(X990,X991,X992,X993,X994,X995),X995,X990,X992)
| ~ midp(X994,X990,X991)
| ~ midp(X995,X992,X993) ) ),
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_96,negated_conjecture,
coll(esk24_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_64,c_0_87]) ).
cnf(c_0_97,negated_conjecture,
coll(esk24_0,esk27_0,esk21_0),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_98,plain,
! [X671,X672,X673,X674] :
( ~ cong(X671,X672,X673,X674)
| cong(X673,X674,X671,X672) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_99,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
cnf(c_0_100,negated_conjecture,
cong(esk27_0,esk24_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_101,negated_conjecture,
coll(esk27_0,esk22_0,esk27_0),
inference(spm,[status(thm)],[c_0_71,c_0_93]) ).
cnf(c_0_102,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_103,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_95]) ).
cnf(c_0_104,negated_conjecture,
( coll(X1,esk24_0,esk24_0)
| ~ coll(esk24_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
coll(esk24_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_71,c_0_97]) ).
cnf(c_0_106,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_107,negated_conjecture,
cong(esk27_0,esk24_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_108,negated_conjecture,
coll(esk27_0,esk21_0,esk27_0),
inference(spm,[status(thm)],[c_0_63,c_0_101]) ).
cnf(c_0_109,negated_conjecture,
coll(esk27_0,esk24_0,esk21_0),
inference(spm,[status(thm)],[c_0_64,c_0_97]) ).
cnf(c_0_110,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_102,c_0_103]) ).
cnf(c_0_111,plain,
( midp(esk6_6(X1,X2,X3,X4,X5,X6),X4,X1)
| ~ midp(X6,X3,X4)
| ~ midp(X5,X1,X2) ),
inference(spm,[status(thm)],[c_0_61,c_0_103]) ).
cnf(c_0_112,negated_conjecture,
coll(esk27_0,esk24_0,esk24_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
cong(esk24_0,esk27_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( coll(X1,esk27_0,esk27_0)
| ~ coll(esk27_0,esk21_0,X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_108]) ).
cnf(c_0_115,negated_conjecture,
coll(esk27_0,esk21_0,esk24_0),
inference(spm,[status(thm)],[c_0_71,c_0_109]) ).
cnf(c_0_116,plain,
( para(X1,X2,X2,X1)
| ~ midp(X3,X4,X1)
| ~ midp(X5,X2,X6) ),
inference(spm,[status(thm)],[c_0_110,c_0_111]) ).
cnf(c_0_117,negated_conjecture,
midp(esk27_0,esk24_0,esk24_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_100]),c_0_112])]) ).
cnf(c_0_118,negated_conjecture,
cong(esk24_0,esk27_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_99,c_0_113]) ).
cnf(c_0_119,negated_conjecture,
coll(esk24_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( para(esk24_0,X1,X1,esk24_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_116,c_0_117]) ).
cnf(c_0_121,negated_conjecture,
midp(esk24_0,esk27_0,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_118]),c_0_119])]) ).
fof(c_0_122,plain,
! [X631,X632,X633,X634,X635,X636,X637,X638] :
( ~ eqangle(X631,X632,X633,X634,X635,X636,X637,X638)
| eqangle(X633,X634,X631,X632,X637,X638,X635,X636) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_123,plain,
! [X785,X786,X787,X788,X789,X790] :
( ~ para(X785,X786,X787,X788)
| eqangle(X785,X786,X789,X790,X787,X788,X789,X790) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
cnf(c_0_124,negated_conjecture,
para(esk24_0,esk27_0,esk27_0,esk24_0),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
fof(c_0_125,plain,
! [X779,X780,X781,X782,X783,X784] :
( ~ eqangle(X779,X780,X783,X784,X781,X782,X783,X784)
| para(X779,X780,X781,X782) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_126,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_122]) ).
cnf(c_0_127,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_128,plain,
( para(X1,X1,X2,X2)
| ~ midp(X3,X4,X2)
| ~ midp(X5,X1,X6) ),
inference(spm,[status(thm)],[c_0_110,c_0_103]) ).
cnf(c_0_129,negated_conjecture,
para(esk24_0,esk27_0,esk24_0,esk27_0),
inference(spm,[status(thm)],[c_0_45,c_0_124]) ).
cnf(c_0_130,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_125]) ).
cnf(c_0_131,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_132,negated_conjecture,
( para(X1,X1,esk27_0,esk27_0)
| ~ midp(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_128,c_0_121]) ).
fof(c_0_133,plain,
! [X956,X957,X958,X959,X960,X961,X962,X963] :
( ~ eqratio(X956,X957,X958,X959,X960,X961,X962,X963)
| ~ cong(X960,X961,X962,X963)
| cong(X956,X957,X958,X959) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_134,plain,
! [X926,X927,X928,X929,X930,X931] :
( ~ midp(X930,X926,X927)
| ~ midp(X931,X928,X929)
| eqratio(X930,X926,X926,X927,X931,X928,X928,X929) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
cnf(c_0_135,negated_conjecture,
( midp(X1,esk27_0,esk27_0)
| ~ midp(X1,esk24_0,esk24_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_129]),c_0_129])]) ).
cnf(c_0_136,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_137,negated_conjecture,
para(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_132,c_0_121]) ).
cnf(c_0_138,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_133]) ).
cnf(c_0_139,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_134]) ).
cnf(c_0_140,negated_conjecture,
midp(esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_135,c_0_117]) ).
cnf(c_0_141,negated_conjecture,
para(X1,X2,X1,X2),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_142,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_138,c_0_139]) ).
cnf(c_0_143,negated_conjecture,
cong(esk27_0,esk27_0,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_60,c_0_140]) ).
cnf(c_0_144,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_141]),c_0_141])]) ).
cnf(c_0_145,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_65,c_0_141]) ).
cnf(c_0_146,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_142,c_0_143]),c_0_140])]) ).
cnf(c_0_147,negated_conjecture,
midp(esk27_0,X1,X1),
inference(spm,[status(thm)],[c_0_144,c_0_140]) ).
cnf(c_0_148,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_64,c_0_145]) ).
fof(c_0_149,plain,
! [X940,X941,X942,X943,X944,X945,X946,X947] :
( ~ eqangle(X940,X941,X942,X943,X944,X945,X946,X947)
| ~ para(X944,X945,X946,X947)
| para(X940,X941,X942,X943) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
fof(c_0_150,plain,
! [X819,X820,X821] :
( ~ cong(X821,X819,X821,X820)
| eqangle(X821,X819,X819,X820,X819,X820,X821,X820) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_151,negated_conjecture,
cong(esk27_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
fof(c_0_152,plain,
! [X814,X815,X816,X817,X818] :
( ~ midp(X817,X814,X815)
| ~ para(X817,X818,X815,X816)
| ~ coll(X818,X814,X816)
| midp(X818,X814,X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
cnf(c_0_153,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_148]) ).
cnf(c_0_154,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_149]) ).
cnf(c_0_155,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_156,negated_conjecture,
cong(X1,X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_106,c_0_151]) ).
cnf(c_0_157,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_152]) ).
cnf(c_0_158,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_153]),c_0_153])]) ).
cnf(c_0_159,plain,
( para(X1,X2,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ para(X2,X3,X1,X3) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_160,negated_conjecture,
cong(X1,X1,X1,esk27_0),
inference(spm,[status(thm)],[c_0_99,c_0_156]) ).
cnf(c_0_161,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_157,c_0_158])]) ).
cnf(c_0_162,negated_conjecture,
para(X1,X1,X1,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_160]),c_0_141])]) ).
cnf(c_0_163,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_161,c_0_141]) ).
cnf(c_0_164,negated_conjecture,
( midp(X1,X2,esk27_0)
| ~ midp(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_165,negated_conjecture,
midp(X1,esk27_0,X1),
inference(spm,[status(thm)],[c_0_163,c_0_147]) ).
cnf(c_0_166,negated_conjecture,
midp(X1,esk27_0,esk27_0),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_167,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_144,c_0_166]) ).
cnf(c_0_168,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_163,c_0_167]) ).
fof(c_0_169,plain,
! [X809,X810,X811,X812,X813] :
( ~ midp(X812,X809,X810)
| ~ midp(X813,X809,X811)
| para(X812,X813,X810,X811) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_170,negated_conjecture,
midp(X1,X2,esk27_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_168])]) ).
cnf(c_0_171,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_172,negated_conjecture,
midp(X1,esk27_0,X2),
inference(spm,[status(thm)],[c_0_61,c_0_170]) ).
cnf(c_0_173,negated_conjecture,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_172])]) ).
cnf(c_0_174,plain,
( midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_173]),c_0_173])]) ).
cnf(c_0_175,negated_conjecture,
midp(X1,X2,X3),
inference(spm,[status(thm)],[c_0_174,c_0_172]) ).
fof(c_0_176,plain,
! [X861,X862,X863,X864] :
( ~ cong(X861,X863,X862,X863)
| ~ cong(X861,X864,X862,X864)
| perp(X861,X862,X863,X864) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_177,negated_conjecture,
cong(X1,X2,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_175])]) ).
cnf(c_0_178,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_179,negated_conjecture,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_99,c_0_177]) ).
cnf(c_0_180,negated_conjecture,
~ perp(esk27_0,esk26_0,esk23_0,esk25_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_181,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_178,c_0_179]),c_0_179])]) ).
cnf(c_0_182,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_181])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO552+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.07 % 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
% 0.08/0.28 % Computer : n014.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Mon May 4 18:02:36 EDT 2026
% 0.08/0.28 % CPUTime :
% 0.08/0.29 % start to proof: theBenchmark
% 1.98/1.89 % Version : CSE_E---1.7
% 1.98/1.89 % Problem : theBenchmark.p
% 1.98/1.89 % SZS status Theorem for theBenchmark.p
% 1.98/1.89 % SZS output start CNFRefutation
% See solution above
% 2.08/1.90 % Total time : 1.371s
%------------------------------------------------------------------------------