TSTP Solution File: GEO511+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO511+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n027.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 : Wed Aug 30 22:48:28 EDT 2023
% Result : Theorem 178.62s 178.60s
% Output : CNFRefutation 178.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 54
% Syntax : Number of formulae : 99 ( 21 unt; 46 typ; 0 def)
% Number of atoms : 180 ( 32 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 252 ( 125 ~; 121 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 153 ( 36 >; 117 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-8 aty)
% Number of functors : 32 ( 32 usr; 10 con; 0-6 aty)
% Number of variables : 153 ( 0 sgn; 89 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
s_e: ( $i * $i * $i * $i ) > $o ).
tff(decl_23,type,
ext: ( $i * $i * $i * $i ) > $i ).
tff(decl_24,type,
s_t: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
ip: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
alpha: $i ).
tff(decl_27,type,
beta: $i ).
tff(decl_28,type,
gamma: $i ).
tff(decl_29,type,
crossbar: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
s_ifs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_31,type,
insert: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
s_e3: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_33,type,
s_col: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
insert5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
s_fs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_36,type,
le: ( $i * $i * $i * $i ) > $o ).
tff(decl_37,type,
ins: ( $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
sameside: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
c63: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
pointOffLine: ( $i * $i ) > $i ).
tff(decl_41,type,
s_m: ( $i * $i * $i ) > $o ).
tff(decl_42,type,
s: ( $i * $i ) > $i ).
tff(decl_43,type,
s_kf: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_44,type,
isomidpoint: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
s_r: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
perpAt: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_47,type,
perp: ( $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
f813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
g813: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
il: ( $i * $i * $i * $i ) > $i ).
tff(decl_51,type,
foot: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
erect21a: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
erectAux21a: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
erect: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
erectAux: ( $i * $i * $i ) > $i ).
tff(decl_56,type,
midpointAux: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
midpoint: ( $i * $i ) > $i ).
tff(decl_58,type,
s_afs: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_59,type,
xb: $i ).
tff(decl_60,type,
f811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
g811: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk1_0: $i ).
tff(decl_63,type,
esk2_0: $i ).
tff(decl_64,type,
esk3_0: $i ).
tff(decl_65,type,
esk4_0: $i ).
tff(decl_66,type,
esk5_0: $i ).
tff(decl_67,type,
esk6_0: $i ).
fof(aSatz8_24a,axiom,
! [X13,X12,X15,X16,X36,X27,X34] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| X34 != ip(X13,X36,X16,X15,X27)
| s_m(X12,X34,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24a) ).
fof(aSatz8_24b,axiom,
! [X13,X12,X15,X16,X36,X27,X34] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| X34 != ip(X13,X36,X16,X15,X27)
| s_m(X13,X34,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24b) ).
fof(aSatz8_24,conjecture,
! [X13,X12,X15,X16,X36,X27] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| s_m(X13,midpoint(X12,X15),X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_24) ).
fof(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
fof(aSatz7_18,axiom,
! [X12,X13,X15] :
( s(X12,X13) != s(X15,X13)
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_18) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz8_22) ).
fof(aSatz7_17,axiom,
! [X13,X12,X16,X15] :
( ~ s_m(X13,X12,X16)
| ~ s_m(X13,X15,X16)
| X12 = X15 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_17) ).
fof(c_0_8,plain,
! [X13,X12,X15,X16,X36,X27,X34] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| X34 != ip(X13,X36,X16,X15,X27)
| s_m(X12,X34,X15) ),
inference(fof_simplification,[status(thm)],[aSatz8_24a]) ).
fof(c_0_9,plain,
! [X13,X12,X15,X16,X36,X27,X34] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| X34 != ip(X13,X36,X16,X15,X27)
| s_m(X13,X34,X27) ),
inference(fof_simplification,[status(thm)],[aSatz8_24b]) ).
fof(c_0_10,plain,
! [X605,X606,X607,X608,X609,X610,X611] :
( ~ perp(X605,X606,X606,X607)
| ~ perp(X608,X607,X606,X607)
| ~ s_col(X606,X607,X609)
| ~ s_t(X605,X609,X608)
| ~ s_t(X607,X610,X608)
| ~ s_e(X606,X605,X607,X610)
| X611 != ip(X605,X609,X608,X607,X610)
| s_m(X606,X611,X607) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_11,negated_conjecture,
~ ! [X13,X12,X15,X16,X36,X27] :
( ~ perp(X13,X12,X12,X15)
| ~ perp(X16,X15,X12,X15)
| ~ s_col(X12,X15,X36)
| ~ s_t(X13,X36,X16)
| ~ s_t(X15,X27,X16)
| ~ s_e(X12,X13,X15,X27)
| s_m(X13,midpoint(X12,X15),X27) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[aSatz8_24])]) ).
fof(c_0_12,plain,
! [X612,X613,X614,X615,X616,X617,X618] :
( ~ perp(X612,X613,X613,X614)
| ~ perp(X615,X614,X613,X614)
| ~ s_col(X613,X614,X616)
| ~ s_t(X612,X616,X615)
| ~ s_t(X614,X617,X615)
| ~ s_e(X613,X612,X614,X617)
| X618 != ip(X612,X616,X615,X614,X617)
| s_m(X612,X618,X617) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( s_m(X2,X7,X3)
| ~ perp(X1,X2,X2,X3)
| ~ perp(X4,X3,X2,X3)
| ~ s_col(X2,X3,X5)
| ~ s_t(X1,X5,X4)
| ~ s_t(X3,X6,X4)
| ~ s_e(X2,X1,X3,X6)
| X7 != ip(X1,X5,X4,X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,negated_conjecture,
( perp(esk1_0,esk2_0,esk2_0,esk3_0)
& perp(esk4_0,esk3_0,esk2_0,esk3_0)
& s_col(esk2_0,esk3_0,esk5_0)
& s_t(esk1_0,esk5_0,esk4_0)
& s_t(esk3_0,esk6_0,esk4_0)
& s_e(esk2_0,esk1_0,esk3_0,esk6_0)
& ~ s_m(esk1_0,midpoint(esk2_0,esk3_0),esk6_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_15,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
cnf(c_0_16,plain,
( s_m(X1,X7,X6)
| ~ perp(X1,X2,X2,X3)
| ~ perp(X4,X3,X2,X3)
| ~ s_col(X2,X3,X5)
| ~ s_t(X1,X5,X4)
| ~ s_t(X3,X6,X4)
| ~ s_e(X2,X1,X3,X6)
| X7 != ip(X1,X5,X4,X3,X6) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,plain,
( s_m(X1,ip(X2,X3,X4,X5,X6),X5)
| ~ perp(X4,X5,X1,X5)
| ~ perp(X2,X1,X1,X5)
| ~ s_col(X1,X5,X3)
| ~ s_t(X5,X6,X4)
| ~ s_t(X2,X3,X4)
| ~ s_e(X1,X2,X5,X6) ),
inference(er,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
perp(esk4_0,esk3_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_19,plain,
! [X450,X451,X452] :
( s(X450,X451) != s(X452,X451)
| X450 = X452 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
fof(c_0_20,plain,
! [X412,X413] : s(X412,s(X412,X413)) = X413,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_21,plain,
! [X409,X410,X411] :
( ~ s_m(X409,X410,X411)
| X411 = s(X410,X409) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_22,plain,
! [X603,X604] : s_m(X603,midpoint(X603,X604),X604),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
cnf(c_0_23,plain,
( s_m(X1,ip(X1,X2,X3,X4,X5),X5)
| ~ perp(X3,X4,X6,X4)
| ~ perp(X1,X6,X6,X4)
| ~ s_col(X6,X4,X2)
| ~ s_t(X4,X5,X3)
| ~ s_t(X1,X2,X3)
| ~ s_e(X6,X1,X4,X5) ),
inference(er,[status(thm)],[c_0_16]) ).
fof(c_0_24,plain,
! [X13,X12,X16,X15] :
( ~ s_m(X13,X12,X16)
| ~ s_m(X13,X15,X16)
| X12 = X15 ),
inference(fof_simplification,[status(thm)],[aSatz7_17]) ).
cnf(c_0_25,negated_conjecture,
( s_m(esk2_0,ip(X1,X2,esk4_0,esk3_0,X3),esk3_0)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_col(esk2_0,esk3_0,X2)
| ~ s_t(esk3_0,X3,esk4_0)
| ~ s_t(X1,X2,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
s_col(esk2_0,esk3_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_27,plain,
( X1 = X3
| s(X1,X2) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_29,plain,
( X3 = s(X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_30,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,negated_conjecture,
( s_m(X1,ip(X1,X2,esk4_0,esk3_0,X3),X3)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_col(esk2_0,esk3_0,X2)
| ~ s_t(esk3_0,X3,esk4_0)
| ~ s_t(X1,X2,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,X3) ),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
fof(c_0_32,plain,
! [X446,X447,X448,X449] :
( ~ s_m(X446,X447,X448)
| ~ s_m(X446,X449,X448)
| X447 = X449 ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( s_m(esk2_0,ip(X1,esk5_0,esk4_0,esk3_0,X2),esk3_0)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_t(esk3_0,X2,esk4_0)
| ~ s_t(X1,esk5_0,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_34,negated_conjecture,
s_t(esk3_0,esk6_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_35,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_36,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_37,negated_conjecture,
( s_m(X1,ip(X1,esk5_0,esk4_0,esk3_0,X2),X2)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_t(esk3_0,X2,esk4_0)
| ~ s_t(X1,esk5_0,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,X2) ),
inference(spm,[status(thm)],[c_0_31,c_0_26]) ).
cnf(c_0_38,plain,
( X2 = X4
| ~ s_m(X1,X2,X3)
| ~ s_m(X1,X4,X3) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( s_m(esk2_0,ip(X1,esk5_0,esk4_0,esk3_0,esk6_0),esk3_0)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_t(X1,esk5_0,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_40,negated_conjecture,
s_t(esk1_0,esk5_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_41,negated_conjecture,
perp(esk1_0,esk2_0,esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_42,negated_conjecture,
s_e(esk2_0,esk1_0,esk3_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_43,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36])]) ).
cnf(c_0_44,negated_conjecture,
( s_m(X1,ip(X1,esk5_0,esk4_0,esk3_0,esk6_0),esk6_0)
| ~ perp(X1,esk2_0,esk2_0,esk3_0)
| ~ s_t(X1,esk5_0,esk4_0)
| ~ s_e(esk2_0,X1,esk3_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_37,c_0_34]) ).
cnf(c_0_45,plain,
( X1 = midpoint(X2,X3)
| ~ s_m(X2,X1,X3) ),
inference(spm,[status(thm)],[c_0_38,c_0_30]) ).
cnf(c_0_46,negated_conjecture,
s_m(esk2_0,ip(esk1_0,esk5_0,esk4_0,esk3_0,esk6_0),esk3_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_47,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_43,c_0_36]) ).
cnf(c_0_48,negated_conjecture,
~ s_m(esk1_0,midpoint(esk2_0,esk3_0),esk6_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_49,negated_conjecture,
s_m(esk1_0,ip(esk1_0,esk5_0,esk4_0,esk3_0,esk6_0),esk6_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_40]),c_0_41]),c_0_42])]) ).
cnf(c_0_50,negated_conjecture,
ip(esk1_0,esk5_0,esk4_0,esk3_0,esk6_0) = midpoint(esk3_0,esk2_0),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_47]) ).
cnf(c_0_51,negated_conjecture,
~ s_m(esk1_0,midpoint(esk3_0,esk2_0),esk6_0),
inference(rw,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_52,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50]),c_0_51]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : GEO511+1 : TPTP v8.1.2. Released v7.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 23:46:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.59 start to proof: theBenchmark
% 178.62/178.60 % Version : CSE_E---1.5
% 178.62/178.60 % Problem : theBenchmark.p
% 178.62/178.60 % Proof found
% 178.62/178.60 % SZS status Theorem for theBenchmark.p
% 178.62/178.60 % SZS output start Proof
% See solution above
% 178.69/178.61 % Total time : 178.020000 s
% 178.69/178.61 % SZS output end Proof
% 178.69/178.61 % Total time : 178.034000 s
%------------------------------------------------------------------------------