%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : GEO545+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 : n006.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 04:21:29 PM UTC 2026
% Result : Theorem 14.33s 9.98s
% Output : CNFRefutation 14.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 24
% Syntax : Number of formulae : 109 ( 23 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 28 ( 2 avg)
% Number of connectives : 315 ( 100 ~; 97 |; 93 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-8 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 430 ( 28 sgn 238 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(exemplo6GDDFULL012005,conjecture,
! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X2)
& perp(X1,X2,X25,X19)
& midp(X26,X1,X14)
& perp(X1,X14,X26,X19)
& midp(X27,X2,X14)
& perp(X2,X14,X27,X19)
& midp(X28,X1,X14)
& perp(X1,X14,X28,X20)
& midp(X29,X1,X3)
& perp(X1,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X2,X14)
& perp(X2,X14,X31,X21)
& midp(X32,X2,X3)
& perp(X2,X3,X32,X21)
& midp(X33,X14,X3)
& perp(X14,X3,X33,X21) )
=> perp(X21,X8,X20,X19) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).
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(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(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(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(ruleD11,axiom,
! [X1,X2,X7] :
( midp(X7,X2,X1)
=> midp(X7,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD11) ).
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(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(ruleD54,axiom,
! [X1,X2,X3,X4] :
( ( cyclic(X1,X2,X3,X4)
& para(X1,X2,X3,X4) )
=> eqangle(X1,X4,X3,X4,X3,X4,X3,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD54) ).
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(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(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(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(ruleD46,axiom,
! [X1,X2,X8] :
( cong(X8,X1,X8,X2)
=> eqangle(X8,X1,X1,X2,X1,X2,X8,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD46) ).
fof(ruleD68,axiom,
! [X1,X2,X3] :
( midp(X1,X2,X3)
=> cong(X1,X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).
fof(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_24,negated_conjecture,
~ ! [X1,X2,X3,X14,X8,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32,X33] :
( ( perp(X1,X2,X3,X14)
& perp(X1,X3,X2,X14)
& perp(X2,X3,X1,X14)
& midp(X22,X1,X2)
& perp(X1,X2,X22,X8)
& midp(X23,X1,X3)
& perp(X1,X3,X23,X8)
& midp(X24,X2,X3)
& perp(X2,X3,X24,X8)
& midp(X25,X1,X2)
& perp(X1,X2,X25,X19)
& midp(X26,X1,X14)
& perp(X1,X14,X26,X19)
& midp(X27,X2,X14)
& perp(X2,X14,X27,X19)
& midp(X28,X1,X14)
& perp(X1,X14,X28,X20)
& midp(X29,X1,X3)
& perp(X1,X3,X29,X20)
& midp(X30,X14,X3)
& perp(X14,X3,X30,X20)
& midp(X31,X2,X14)
& perp(X2,X14,X31,X21)
& midp(X32,X2,X3)
& perp(X2,X3,X32,X21)
& midp(X33,X14,X3)
& perp(X14,X3,X33,X21) )
=> perp(X21,X8,X20,X19) ),
inference(assume_negation,[status(cth)],[exemplo6GDDFULL012005]) ).
fof(c_0_25,plain,
! [X657,X658,X659,X660,X661,X662,X663,X664] :
( ~ eqangle(X657,X658,X659,X660,X661,X662,X663,X664)
| eqangle(X659,X660,X657,X658,X663,X664,X661,X662) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD19])]) ).
fof(c_0_26,plain,
! [X811,X812,X813,X814,X815,X816] :
( ~ para(X811,X812,X813,X814)
| eqangle(X811,X812,X815,X816,X813,X814,X815,X816) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD40])]) ).
fof(c_0_27,plain,
! [X925,X926,X927,X928,X929] :
( ~ midp(X929,X925,X926)
| ~ midp(X929,X927,X928)
| para(X925,X927,X926,X928) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD63])]) ).
fof(c_0_28,negated_conjecture,
( perp(esk21_0,esk22_0,esk23_0,esk24_0)
& perp(esk21_0,esk23_0,esk22_0,esk24_0)
& perp(esk22_0,esk23_0,esk21_0,esk24_0)
& midp(esk29_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk29_0,esk25_0)
& midp(esk30_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk30_0,esk25_0)
& midp(esk31_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk31_0,esk25_0)
& midp(esk32_0,esk21_0,esk22_0)
& perp(esk21_0,esk22_0,esk32_0,esk26_0)
& midp(esk33_0,esk21_0,esk24_0)
& perp(esk21_0,esk24_0,esk33_0,esk26_0)
& midp(esk34_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk34_0,esk26_0)
& midp(esk35_0,esk21_0,esk24_0)
& perp(esk21_0,esk24_0,esk35_0,esk27_0)
& midp(esk36_0,esk21_0,esk23_0)
& perp(esk21_0,esk23_0,esk36_0,esk27_0)
& midp(esk37_0,esk24_0,esk23_0)
& perp(esk24_0,esk23_0,esk37_0,esk27_0)
& midp(esk38_0,esk22_0,esk24_0)
& perp(esk22_0,esk24_0,esk38_0,esk28_0)
& midp(esk39_0,esk22_0,esk23_0)
& perp(esk22_0,esk23_0,esk39_0,esk28_0)
& midp(esk40_0,esk24_0,esk23_0)
& perp(esk24_0,esk23_0,esk40_0,esk28_0)
& ~ perp(esk28_0,esk25_0,esk27_0,esk26_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])]) ).
fof(c_0_29,plain,
! [X805,X806,X807,X808,X809,X810] :
( ~ eqangle(X805,X806,X809,X810,X807,X808,X809,X810)
| para(X805,X806,X807,X808) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD39])]) ).
cnf(c_0_30,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_25]) ).
cnf(c_0_31,plain,
( eqangle(X1,X2,X5,X6,X3,X4,X5,X6)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_32,plain,
! [X586,X587,X588,X589] :
( ~ para(X586,X587,X588,X589)
| para(X586,X587,X589,X588) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD4])]) ).
cnf(c_0_33,plain,
( para(X2,X4,X3,X5)
| ~ midp(X1,X2,X3)
| ~ midp(X1,X4,X5) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_34,negated_conjecture,
midp(esk40_0,esk24_0,esk23_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
fof(c_0_35,plain,
! [X620,X621,X622] :
( ~ midp(X622,X621,X620)
| midp(X622,X620,X621) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD11])]) ).
cnf(c_0_36,plain,
( para(X1,X2,X5,X6)
| ~ eqangle(X1,X2,X3,X4,X5,X6,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( eqangle(X1,X2,X3,X4,X1,X2,X5,X6)
| ~ para(X3,X4,X5,X6) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_38,plain,
( para(X1,X2,X4,X3)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( para(X1,esk24_0,X2,esk23_0)
| ~ midp(esk40_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,plain,
( midp(X1,X3,X2)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
fof(c_0_41,plain,
! [X940,X941,X942] :
( ~ para(X940,X941,X940,X942)
| coll(X940,X941,X942) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD66])]) ).
cnf(c_0_42,plain,
( para(X1,X2,X1,X2)
| ~ para(X3,X4,X3,X4) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_43,negated_conjecture,
( para(X1,esk24_0,esk23_0,X2)
| ~ midp(esk40_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_44,negated_conjecture,
midp(esk40_0,esk23_0,esk24_0),
inference(spm,[status(thm)],[c_0_40,c_0_34]) ).
fof(c_0_45,plain,
! [X579,X580,X581] :
( ~ coll(X579,X580,X581)
| coll(X580,X579,X581) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD2])]) ).
cnf(c_0_46,plain,
( coll(X1,X2,X3)
| ~ para(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_47,negated_conjecture,
para(X1,X2,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
fof(c_0_48,plain,
! [X576,X577,X578] :
( ~ coll(X576,X577,X578)
| coll(X576,X578,X577) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD1])]) ).
cnf(c_0_49,plain,
( coll(X2,X1,X3)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
coll(X1,X2,X2),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
fof(c_0_51,plain,
! [X825,X826,X827,X828] :
( ~ eqangle(X827,X825,X827,X826,X828,X825,X828,X826)
| ~ coll(X827,X828,X826)
| cyclic(X825,X826,X827,X828) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD42b])]) ).
fof(c_0_52,plain,
! [X582,X583,X584,X585] :
( ~ coll(X582,X583,X584)
| ~ coll(X582,X583,X585)
| coll(X584,X585,X582) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD3])]) ).
cnf(c_0_53,plain,
( coll(X1,X3,X2)
| ~ coll(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_54,negated_conjecture,
coll(X1,X2,X1),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,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_51]) ).
cnf(c_0_56,plain,
( coll(X3,X4,X1)
| ~ coll(X1,X2,X3)
| ~ coll(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_57,negated_conjecture,
coll(X1,X1,X2),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
fof(c_0_58,plain,
! [X636,X637,X638,X639] :
( ~ cyclic(X636,X637,X638,X639)
| cyclic(X636,X638,X637,X639) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD15])]) ).
cnf(c_0_59,plain,
( cyclic(X1,X2,X3,X3)
| ~ para(X3,X1,X3,X1)
| ~ coll(X3,X3,X2) ),
inference(spm,[status(thm)],[c_0_55,c_0_31]) ).
cnf(c_0_60,negated_conjecture,
coll(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_57])]) ).
fof(c_0_61,plain,
! [X632,X633,X634,X635] :
( ~ cyclic(X632,X633,X634,X635)
| cyclic(X632,X633,X635,X634) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD14])]) ).
cnf(c_0_62,plain,
( cyclic(X1,X3,X2,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_63,plain,
cyclic(X1,X2,X3,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_47])]),c_0_60])]) ).
fof(c_0_64,plain,
! [X640,X641,X642,X643] :
( ~ cyclic(X640,X641,X642,X643)
| cyclic(X641,X640,X642,X643) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD16])]) ).
cnf(c_0_65,plain,
( cyclic(X1,X2,X4,X3)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_66,plain,
cyclic(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
fof(c_0_67,plain,
! [X829,X830,X831,X832,X833,X834] :
( ~ cyclic(X829,X830,X831,X832)
| ~ cyclic(X829,X830,X831,X833)
| ~ cyclic(X829,X830,X831,X834)
| ~ eqangle(X831,X829,X831,X830,X834,X832,X834,X833)
| cong(X829,X830,X832,X833) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD43])]) ).
fof(c_0_68,plain,
! [X879,X880,X881,X882] :
( ~ cyclic(X879,X880,X881,X882)
| ~ para(X879,X880,X881,X882)
| eqangle(X879,X882,X881,X882,X881,X882,X881,X880) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD54])]) ).
fof(c_0_69,plain,
! [X644,X645,X646,X647,X648] :
( ~ cyclic(X644,X645,X646,X647)
| ~ cyclic(X644,X645,X646,X648)
| cyclic(X645,X646,X647,X648) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD17])]) ).
cnf(c_0_70,plain,
( cyclic(X2,X1,X3,X4)
| ~ cyclic(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_71,plain,
cyclic(X1,X2,X2,X3),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,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_67]) ).
cnf(c_0_73,plain,
( eqangle(X1,X4,X3,X4,X3,X4,X3,X2)
| ~ cyclic(X1,X2,X3,X4)
| ~ para(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_74,plain,
( cyclic(X2,X3,X4,X5)
| ~ cyclic(X1,X2,X3,X4)
| ~ cyclic(X1,X2,X3,X5) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_75,plain,
cyclic(X1,X2,X1,X3),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
fof(c_0_76,plain,
! [X943,X944,X945] :
( ~ cong(X943,X944,X943,X945)
| ~ coll(X943,X944,X945)
| midp(X943,X944,X945) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD67])]) ).
cnf(c_0_77,plain,
( cong(X1,X1,X1,X2)
| ~ cyclic(X1,X1,X3,X3)
| ~ cyclic(X1,X1,X3,X2)
| ~ cyclic(X1,X1,X3,X1)
| ~ cyclic(X3,X2,X3,X1)
| ~ para(X3,X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_78,plain,
cyclic(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_75])]) ).
fof(c_0_79,plain,
! [X840,X841,X842,X843,X844] :
( ~ midp(X843,X840,X841)
| ~ para(X843,X844,X841,X842)
| ~ coll(X844,X840,X842)
| midp(X844,X840,X842) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD45])]) ).
fof(c_0_80,plain,
! [X930,X931,X932,X933,X934] :
( ~ midp(X934,X930,X931)
| ~ para(X930,X932,X931,X933)
| ~ para(X930,X933,X931,X932)
| midp(X934,X932,X933) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD64])]) ).
cnf(c_0_81,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_82,plain,
( cong(X1,X1,X1,X2)
| ~ para(X3,X2,X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_63])]),c_0_78]),c_0_78]),c_0_78])]) ).
cnf(c_0_83,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_79]) ).
cnf(c_0_84,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_80]) ).
cnf(c_0_85,plain,
( midp(X1,X2,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_60])]) ).
cnf(c_0_86,negated_conjecture,
cong(X1,X1,X1,X1),
inference(spm,[status(thm)],[c_0_82,c_0_47]) ).
cnf(c_0_87,plain,
( midp(X1,X2,X3)
| ~ midp(X4,X2,X5)
| ~ para(X4,X1,X5,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_60])]) ).
cnf(c_0_88,negated_conjecture,
para(X1,X2,X2,X1),
inference(spm,[status(thm)],[c_0_38,c_0_47]) ).
cnf(c_0_89,negated_conjecture,
( midp(X1,X2,X2)
| ~ midp(X1,X3,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_47]),c_0_47])]) ).
cnf(c_0_90,negated_conjecture,
midp(X1,X1,X1),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
fof(c_0_91,plain,
! [X845,X846,X847] :
( ~ cong(X847,X845,X847,X846)
| eqangle(X847,X845,X845,X846,X845,X846,X847,X846) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD46])]) ).
fof(c_0_92,plain,
! [X946,X947,X948] :
( ~ midp(X946,X947,X948)
| cong(X946,X947,X946,X948) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD68])]) ).
cnf(c_0_93,negated_conjecture,
( midp(X1,X2,X3)
| ~ midp(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_94,negated_conjecture,
midp(X1,X2,X2),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_95,plain,
( eqangle(X1,X2,X2,X3,X2,X3,X1,X3)
| ~ cong(X1,X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_91]) ).
cnf(c_0_96,plain,
( cong(X1,X2,X1,X3)
| ~ midp(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_92]) ).
cnf(c_0_97,negated_conjecture,
midp(X1,X1,X2),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,plain,
( cong(X1,X2,X3,X2)
| ~ cyclic(X1,X2,X4,X4)
| ~ cyclic(X1,X2,X4,X2)
| ~ cyclic(X1,X2,X4,X3)
| ~ para(X4,X1,X4,X3) ),
inference(spm,[status(thm)],[c_0_72,c_0_31]) ).
cnf(c_0_99,plain,
( para(X1,X1,X1,X2)
| ~ cong(X1,X1,X1,X2) ),
inference(spm,[status(thm)],[c_0_36,c_0_95]) ).
cnf(c_0_100,negated_conjecture,
cong(X1,X1,X1,X2),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
fof(c_0_101,plain,
! [X887,X888,X889,X890] :
( ~ cong(X887,X889,X888,X889)
| ~ cong(X887,X890,X888,X890)
| perp(X887,X888,X889,X890) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ruleD56])]) ).
cnf(c_0_102,plain,
( cong(X1,X2,X3,X2)
| ~ para(X4,X1,X4,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_63])]),c_0_78]),c_0_78])]) ).
cnf(c_0_103,plain,
para(X1,X1,X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_99,c_0_100])]) ).
cnf(c_0_104,plain,
( perp(X1,X3,X2,X4)
| ~ cong(X1,X2,X3,X2)
| ~ cong(X1,X4,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
cnf(c_0_105,plain,
cong(X1,X2,X3,X2),
inference(spm,[status(thm)],[c_0_102,c_0_103]) ).
cnf(c_0_106,negated_conjecture,
~ perp(esk28_0,esk25_0,esk27_0,esk26_0),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_107,plain,
perp(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_105]),c_0_105])]) ).
cnf(c_0_108,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_106,c_0_107])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO545+1 : TPTP v9.2.1. Released v7.5.0.
% 0.00/0.11 % 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
% 0.14/0.32 % Computer : n006.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 18:02:46 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 14.33/9.98 % Version : CSE_E---1.7
% 14.33/9.98 % Problem : theBenchmark.p
% 14.33/9.98 % SZS status Theorem for theBenchmark.p
% 14.33/9.98 % SZS output start CNFRefutation
% See solution above
% 14.33/10.01 % Total time : 8.388s
%------------------------------------------------------------------------------