%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO654+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 : n013.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 2.34s 1.99s
% Output : CNFRefutation 2.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 32
% Syntax : Number of formulae : 158 ( 37 unt; 0 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 341 ( 134 ~; 131 |; 43 &)
% ( 0 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-8 aty)
% Number of functors : 17 ( 17 usr; 17 con; 0-0 aty)
% Number of variables : 591 ( 32 sgn 318 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULLmoreE0228,conjecture,
! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE0228) ).
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(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(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(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(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(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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(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(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(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(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_32,negated_conjecture,
~ ! [X1,X2,X3,X4,X5,X6,X13,X14,X19,X20,X21,X22,X23,X24,X25,X26,X27] :
( ( circle(X1,X2,X19,X20)
& circle(X3,X2,X21,X22)
& circle(X1,X2,X4,X23)
& circle(X3,X2,X4,X24)
& circle(X3,X2,X5,X25)
& coll(X4,X5,X6)
& circle(X1,X4,X6,X26)
& coll(X2,X5,X13)
& circle(X1,X2,X13,X27)
& perp(X3,X5,X5,X14) )
=> para(X14,X5,X13,X6) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULLmoreE0228]) ).
fof(c_0_33,plain,
! [X595,X596,X597,X598] :
( ~ perp(X595,X596,X597,X598)
| perp(X597,X598,X595,X596) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD8])]) ).
fof(c_0_34,negated_conjecture,
( circle(esk21_0,esk22_0,esk29_0,esk30_0)
& circle(esk23_0,esk22_0,esk31_0,esk32_0)
& circle(esk21_0,esk22_0,esk24_0,esk33_0)
& circle(esk23_0,esk22_0,esk24_0,esk34_0)
& circle(esk23_0,esk22_0,esk25_0,esk35_0)
& coll(esk24_0,esk25_0,esk26_0)
& circle(esk21_0,esk24_0,esk26_0,esk36_0)
& coll(esk22_0,esk25_0,esk27_0)
& circle(esk21_0,esk22_0,esk27_0,esk37_0)
& perp(esk23_0,esk25_0,esk25_0,esk28_0)
& ~ para(esk28_0,esk25_0,esk27_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_35,plain,
! [X591,X592,X593,X594] :
( ~ perp(X591,X592,X593,X594)
| perp(X591,X592,X594,X593) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD7])]) ).
cnf(c_0_36,plain,
( perp(X3,X4,X1,X2)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
perp(esk23_0,esk25_0,esk25_0,esk28_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_38,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_39,negated_conjecture,
perp(esk25_0,esk28_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
perp(esk25_0,esk28_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
fof(c_0_41,plain,
! [X648,X649,X650,X651,X652,X653,X654,X655] :
( ~ eqangle(X648,X649,X650,X651,X652,X653,X654,X655)
| eqangle(X650,X651,X648,X649,X654,X655,X652,X653) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_42,plain,
! [X802,X803,X804,X805,X806,X807] :
( ~ para(X802,X803,X804,X805)
| eqangle(X802,X803,X806,X807,X804,X805,X806,X807) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_43,plain,
! [X599,X600,X601,X602,X603,X604] :
( ~ perp(X599,X600,X601,X602)
| ~ perp(X601,X602,X603,X604)
| para(X599,X600,X603,X604) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD9])]) ).
cnf(c_0_44,negated_conjecture,
perp(esk25_0,esk23_0,esk25_0,esk28_0),
inference(spm,[status(thm)],[c_0_36,c_0_40]) ).
fof(c_0_45,plain,
! [X796,X797,X798,X799,X800,X801] :
( ~ eqangle(X796,X797,X800,X801,X798,X799,X800,X801)
| para(X796,X797,X798,X799) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_46,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_41]) ).
cnf(c_0_47,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
fof(c_0_48,plain,
! [X581,X582,X583,X584] :
( ~ para(X581,X582,X583,X584)
| para(X583,X584,X581,X582) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD5])]) ).
cnf(c_0_49,plain,
( para(X1,X2,X5,X6)
| ~ perp(X1,X2,X3,X4)
| ~ perp(X3,X4,X5,X6) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,negated_conjecture,
perp(esk25_0,esk23_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
perp(esk23_0,esk25_0,esk28_0,esk25_0),
inference(spm,[status(thm)],[c_0_38,c_0_37]) ).
cnf(c_0_52,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_53,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,plain,
( para(X3,X4,X1,X2)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( para(X1,X2,esk28_0,esk25_0)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,negated_conjecture,
perp(esk28_0,esk25_0,esk23_0,esk25_0),
inference(spm,[status(thm)],[c_0_36,c_0_51]) ).
fof(c_0_57,plain,
! [X931,X932,X933] :
( ~ para(X931,X932,X931,X933)
| coll(X931,X932,X933) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_58,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( para(esk28_0,esk25_0,X1,X2)
| ~ perp(X1,X2,esk25_0,esk23_0) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
perp(esk28_0,esk25_0,esk25_0,esk23_0),
inference(spm,[status(thm)],[c_0_38,c_0_56]) ).
fof(c_0_61,plain,
! [X570,X571,X572] :
( ~ coll(X570,X571,X572)
| coll(X571,X570,X572) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_62,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_63,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
fof(c_0_64,plain,
! [X567,X568,X569] :
( ~ coll(X567,X568,X569)
| coll(X567,X569,X568) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_65,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X816,X817,X818,X819] :
( ~ eqangle(X818,X816,X818,X817,X819,X816,X819,X817)
| ~ coll(X818,X819,X817)
| cyclic(X816,X817,X818,X819) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_68,plain,
! [X573,X574,X575,X576] :
( ~ coll(X573,X574,X575)
| ~ coll(X573,X574,X576)
| coll(X575,X576,X573) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_69,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_70,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,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_67]) ).
cnf(c_0_72,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_73,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
fof(c_0_74,plain,
! [X627,X628,X629,X630] :
( ~ cyclic(X627,X628,X629,X630)
| cyclic(X627,X629,X628,X630) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_75,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_47]) ).
cnf(c_0_76,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_73])]) ).
fof(c_0_77,plain,
! [X623,X624,X625,X626] :
( ~ cyclic(X623,X624,X625,X626)
| cyclic(X623,X624,X626,X625) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_78,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_74]) ).
cnf(c_0_79,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_63])]),c_0_76])]) ).
fof(c_0_80,plain,
! [X857,X858,X859,X860,X861] :
( ~ circle(X860,X857,X858,X859)
| ~ coll(X861,X858,X859)
| ~ eqangle(X857,X858,X857,X859,X860,X858,X860,X861)
| midp(X861,X858,X859) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD51])]) ).
fof(c_0_81,plain,
! [X808,X809,X810,X811] :
( ~ cyclic(X808,X809,X810,X811)
| eqangle(X810,X808,X810,X809,X811,X808,X811,X809) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD41])]) ).
fof(c_0_82,plain,
! [X631,X632,X633,X634] :
( ~ cyclic(X631,X632,X633,X634)
| cyclic(X632,X631,X633,X634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_83,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_84,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_78,c_0_79]) ).
cnf(c_0_85,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_80]) ).
cnf(c_0_86,plain,
( eqangle(X3,X1,X3,X2,X4,X1,X4,X2)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_81]) ).
fof(c_0_87,plain,
! [X635,X636,X637,X638,X639] :
( ~ cyclic(X635,X636,X637,X638)
| ~ cyclic(X635,X636,X637,X639)
| cyclic(X636,X637,X638,X639) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_88,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_89,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_90,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_85,c_0_86]) ).
cnf(c_0_91,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_92,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
fof(c_0_93,plain,
! [X836,X837,X838] :
( ~ cong(X838,X836,X838,X837)
| eqangle(X838,X836,X836,X837,X836,X837,X838,X837) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
cnf(c_0_94,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_90,c_0_70])]) ).
cnf(c_0_95,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_92])]) ).
fof(c_0_96,plain,
! [X831,X832,X833,X834,X835] :
( ~ midp(X834,X831,X832)
| ~ para(X834,X835,X832,X833)
| ~ coll(X835,X831,X833)
| midp(X835,X831,X833) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
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_93]) ).
fof(c_0_98,plain,
! [X611,X612,X613] :
( ~ midp(X613,X612,X611)
| midp(X613,X611,X612) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_99,plain,
( midp(X1,X2,X1)
| ~ circle(X3,X4,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_100,negated_conjecture,
circle(esk23_0,esk22_0,esk31_0,esk32_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_101,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_96]) ).
cnf(c_0_102,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_97]) ).
fof(c_0_103,plain,
! [X937,X938,X939] :
( ~ midp(X937,X938,X939)
| cong(X937,X938,X937,X939) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_104,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_98]) ).
cnf(c_0_105,negated_conjecture,
midp(esk32_0,esk31_0,esk32_0),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_106,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1)
| ~ coll(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_107,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_103]) ).
cnf(c_0_108,negated_conjecture,
midp(esk32_0,esk32_0,esk31_0),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
fof(c_0_109,plain,
! [X973,X974,X975,X976,X977,X978,X979,X980] :
( ~ eqratio(X973,X974,X975,X976,X977,X978,X979,X980)
| ~ cong(X977,X978,X979,X980)
| cong(X973,X974,X975,X976) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD75])]) ).
fof(c_0_110,plain,
! [X943,X944,X945,X946,X947,X948] :
( ~ midp(X947,X943,X944)
| ~ midp(X948,X945,X946)
| eqratio(X947,X943,X943,X944,X948,X945,X945,X946) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD70])]) ).
fof(c_0_111,plain,
! [X921,X922,X923,X924,X925] :
( ~ midp(X925,X921,X922)
| ~ para(X921,X923,X922,X924)
| ~ para(X921,X924,X922,X923)
| midp(X925,X923,X924) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_112,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_76])]) ).
cnf(c_0_113,negated_conjecture,
cong(esk32_0,esk32_0,esk32_0,esk31_0),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_114,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_109]) ).
cnf(c_0_115,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_110]) ).
cnf(c_0_116,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_111]) ).
cnf(c_0_117,negated_conjecture,
( midp(esk32_0,X1,esk31_0)
| ~ midp(esk32_0,X1,esk32_0) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
fof(c_0_118,plain,
! [X577,X578,X579,X580] :
( ~ para(X577,X578,X579,X580)
| para(X577,X578,X580,X579) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_119,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_114,c_0_115]) ).
cnf(c_0_120,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_63]),c_0_63])]) ).
cnf(c_0_121,negated_conjecture,
midp(esk32_0,esk31_0,esk31_0),
inference(spm,[status(thm)],[c_0_117,c_0_105]) ).
cnf(c_0_122,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_118]) ).
fof(c_0_123,plain,
! [X688,X689,X690,X691] :
( ~ cong(X688,X689,X690,X691)
| cong(X690,X691,X688,X689) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD24])]) ).
cnf(c_0_124,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_119,c_0_113]),c_0_108])]) ).
cnf(c_0_125,negated_conjecture,
midp(esk32_0,X1,X1),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_126,plain,
( para(X1,X1,X2,X1)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_122,c_0_102]) ).
fof(c_0_127,plain,
! [X684,X685,X686,X687] :
( ~ cong(X684,X685,X686,X687)
| cong(X684,X685,X687,X686) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD23])]) ).
cnf(c_0_128,plain,
( cong(X3,X4,X1,X2)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_123]) ).
cnf(c_0_129,negated_conjecture,
cong(esk32_0,X1,X1,X1),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
fof(c_0_130,plain,
! [X934,X935,X936] :
( ~ cong(X934,X935,X934,X936)
| ~ coll(X934,X935,X936)
| midp(X934,X935,X936) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_131,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3)
| ~ coll(X1,X2,X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_126]) ).
cnf(c_0_132,plain,
( cong(X1,X2,X4,X3)
| ~ cong(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_127]) ).
cnf(c_0_133,negated_conjecture,
cong(X1,X1,esk32_0,X1),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_130]) ).
cnf(c_0_135,plain,
( midp(X1,X2,X1)
| ~ cong(X1,X1,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_70])]) ).
cnf(c_0_136,negated_conjecture,
cong(X1,X1,X1,esk32_0),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_76])]) ).
fof(c_0_138,plain,
! [X957,X958,X959,X960,X961,X962,X963,X964] :
( ~ eqangle(X957,X958,X959,X960,X961,X962,X963,X964)
| ~ para(X961,X962,X963,X964)
| para(X957,X958,X959,X960) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD73])]) ).
cnf(c_0_139,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_76])]) ).
cnf(c_0_140,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X1,X2,esk32_0) ),
inference(spm,[status(thm)],[c_0_135,c_0_136]) ).
cnf(c_0_141,negated_conjecture,
midp(X1,X1,esk32_0),
inference(spm,[status(thm)],[c_0_137,c_0_136]) ).
cnf(c_0_142,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_138]) ).
cnf(c_0_143,negated_conjecture,
( midp(X1,X2,X1)
| ~ midp(X3,X2,X3) ),
inference(spm,[status(thm)],[c_0_139,c_0_63]) ).
cnf(c_0_144,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_145,plain,
( para(X1,X2,X1,X3)
| ~ cyclic(X2,X3,X1,X4)
| ~ para(X4,X2,X4,X3) ),
inference(spm,[status(thm)],[c_0_142,c_0_86]) ).
cnf(c_0_146,negated_conjecture,
midp(X1,X2,X1),
inference(spm,[status(thm)],[c_0_143,c_0_144]) ).
cnf(c_0_147,plain,
( para(X1,X2,X1,X3)
| ~ para(X4,X2,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_95])]) ).
cnf(c_0_148,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_104,c_0_146]) ).
cnf(c_0_149,plain,
( para(X1,X2,X1,X3)
| ~ cong(X2,X2,X2,X3) ),
inference(spm,[status(thm)],[c_0_147,c_0_102]) ).
cnf(c_0_150,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_107,c_0_148]) ).
fof(c_0_151,plain,
! [X826,X827,X828,X829,X830] :
( ~ midp(X829,X826,X827)
| ~ midp(X830,X826,X828)
| para(X829,X830,X827,X828) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD44])]) ).
cnf(c_0_152,plain,
para(X1,X2,X1,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_150])]) ).
cnf(c_0_153,plain,
( para(X1,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X4,X2,X5) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_154,plain,
midp(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_152]),c_0_146])]) ).
cnf(c_0_155,negated_conjecture,
~ para(esk28_0,esk25_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_156,plain,
para(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_153,c_0_154]),c_0_154])]) ).
cnf(c_0_157,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_155,c_0_156])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO654+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
% 0.16/0.33 % Computer : n013.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % 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 18:05:11 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 2.34/1.99 % Version : CSE_E---1.7
% 2.34/1.99 % Problem : theBenchmark.p
% 2.34/1.99 % SZS status Theorem for theBenchmark.p
% 2.34/1.99 % SZS output start CNFRefutation
% See solution above
% 2.34/2.00 % Total time : 1.370s
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