TSTP Solution File: GEO273+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO273+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 22:47:37 EDT 2023
% Result : Theorem 56.14s 56.28s
% Output : CNFRefutation 56.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 95
% Syntax : Number of formulae : 121 ( 18 unt; 85 typ; 0 def)
% Number of atoms : 145 ( 96 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 179 ( 70 ~; 77 |; 20 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 289 ( 75 >; 214 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 71 ( 71 usr; 10 con; 0-18 aty)
% Number of variables : 76 ( 0 sgn; 37 !; 8 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1069: $i ).
tff(decl_23,type,
vd1070: $i ).
tff(decl_24,type,
vf: ( $i * $i ) > $i ).
tff(decl_25,type,
vd1074: $i ).
tff(decl_26,type,
rpoint: $i > $o ).
tff(decl_27,type,
vd1075: $i ).
tff(decl_28,type,
vskolem1092: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
vskolem1095: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
vskolem1099: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
vskolem1102: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
vskolem1103: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
vskolem1096: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
vskolem1089: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
ron: ( $i * $i ) > $o ).
tff(decl_37,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_38,type,
rcircle: $i > $o ).
tff(decl_39,type,
rline: $i > $o ).
tff(decl_40,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
rinside: ( $i * $i ) > $o ).
tff(decl_42,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
v0: $i ).
tff(decl_45,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
vplus: ( $i * $i ) > $i ).
tff(decl_47,type,
rleq: ( $i * $i ) > $o ).
tff(decl_48,type,
rreal: $i > $o ).
tff(decl_49,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_50,type,
rless: ( $i * $i ) > $o ).
tff(decl_51,type,
vd684: $i ).
tff(decl_52,type,
vd14: $i ).
tff(decl_53,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
rtriangle: $i > $o ).
tff(decl_55,type,
vperp: $i ).
tff(decl_56,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_57,type,
esk1_0: $i ).
tff(decl_58,type,
esk2_0: $i ).
tff(decl_59,type,
esk3_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
esk4_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk6_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk9_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_71,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk22_1: $i > $i ).
tff(decl_79,type,
esk23_1: $i > $i ).
tff(decl_80,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_1: $i > $i ).
tff(decl_83,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk33_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk35_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk37_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
esk39_1: $i > $i ).
tff(decl_96,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk43_1: $i > $i ).
tff(decl_100,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_104,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk50_2: ( $i * $i ) > $i ).
fof('qe(222)',conjecture,
? [X1] :
( vf(vd1069,vd1070) = vf(vd1074,X1)
& rpoint(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(222)') ).
fof('ass(cond(proof(223), 0), 0)',axiom,
! [X4,X5] :
( ( X4 != X5
& ? [X6] :
( X5 = X6
& rpoint(X6) )
& ? [X7] :
( X4 = X7
& rpoint(X7) ) )
=> ! [X8,X9] :
( ( X8 = X9
& X8 != X5
& X8 != X4
& rpoint(X9) )
=> ! [X10] :
( X10 = vskolem1092(X8,X9,X4,X5)
=> ! [X11] :
( X11 = vskolem1095(X10,X8,X9,X4,X5)
=> ! [X12] :
( X12 = vskolem1099(X11,X10,X8,X9,X4,X5)
=> ! [X13] :
( X13 = vskolem1102(X12,X11,X10,X8,X9,X4,X5)
=> vf(X4,X5) = vf(X8,vskolem1103(X13,X12,X11,X10,X8,X9,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 0)') ).
fof('pred(221, 1)',axiom,
rpoint(vd1075),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(221, 1)') ).
fof('pred(221, 4)',axiom,
vd1074 = vd1075,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(221, 4)') ).
fof('ass(cond(proof(223), 0), 7)',axiom,
! [X4,X5] :
( ( X4 != X5
& ? [X6] :
( X5 = X6
& rpoint(X6) )
& ? [X7] :
( X4 = X7
& rpoint(X7) ) )
=> ! [X8,X9] :
( ( X8 = X9
& X8 != X5
& X8 != X4
& rpoint(X9) )
=> ! [X10] :
( X10 = vskolem1092(X8,X9,X4,X5)
=> ! [X11] :
( X11 = vskolem1095(X10,X8,X9,X4,X5)
=> ! [X12] :
( X12 = vskolem1099(X11,X10,X8,X9,X4,X5)
=> ! [X13] :
( X13 = vskolem1102(X12,X11,X10,X8,X9,X4,X5)
=> rpoint(vskolem1103(X13,X12,X11,X10,X8,X9,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(proof(223), 0), 7)') ).
fof('qe(s1(plural(220)))',axiom,
? [X3] :
( vd1069 = X3
& rpoint(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s1(plural(220)))') ).
fof('qe(s2(plural(220)))',axiom,
? [X2] :
( vd1070 = X2
& rpoint(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','qe(s2(plural(220)))') ).
fof('holds(conjunct1(221), 1076, 0)',axiom,
vd1074 != vd1069,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct1(221), 1076, 0)') ).
fof('holds(conjunct2(221), 1077, 0)',axiom,
vd1074 != vd1070,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','holds(conjunct2(221), 1077, 0)') ).
fof('pred(220, 5)',axiom,
vd1069 != vd1070,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','pred(220, 5)') ).
fof(c_0_10,negated_conjecture,
~ ? [X1] :
( vf(vd1069,vd1070) = vf(vd1074,X1)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(222)']) ).
fof(c_0_11,plain,
! [X748,X749,X750,X751,X752,X753,X754,X755,X756,X757] :
( X748 = X749
| X749 != X750
| ~ rpoint(X750)
| X748 != X751
| ~ rpoint(X751)
| X752 != X753
| X752 = X749
| X752 = X748
| ~ rpoint(X753)
| X754 != vskolem1092(X752,X753,X748,X749)
| X755 != vskolem1095(X754,X752,X753,X748,X749)
| X756 != vskolem1099(X755,X754,X752,X753,X748,X749)
| X757 != vskolem1102(X756,X755,X754,X752,X753,X748,X749)
| vf(X748,X749) = vf(X752,vskolem1103(X757,X756,X755,X754,X752,X753,X748,X749)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(223), 0), 0)'])])]) ).
fof(c_0_12,negated_conjecture,
! [X745] :
( vf(vd1069,vd1070) != vf(vd1074,X745)
| ~ rpoint(X745) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_13,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| vf(X1,X2) = vf(X5,vskolem1103(X10,X9,X8,X7,X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6)
| X7 != vskolem1092(X5,X6,X1,X2)
| X8 != vskolem1095(X7,X5,X6,X1,X2)
| X9 != vskolem1099(X8,X7,X5,X6,X1,X2)
| X10 != vskolem1102(X9,X8,X7,X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
rpoint(vd1075),
inference(split_conjunct,[status(thm)],['pred(221, 1)']) ).
cnf(c_0_15,plain,
vd1074 = vd1075,
inference(split_conjunct,[status(thm)],['pred(221, 4)']) ).
fof(c_0_16,plain,
! [X818,X819,X820,X821,X822,X823,X824,X825,X826,X827] :
( X818 = X819
| X819 != X820
| ~ rpoint(X820)
| X818 != X821
| ~ rpoint(X821)
| X822 != X823
| X822 = X819
| X822 = X818
| ~ rpoint(X823)
| X824 != vskolem1092(X822,X823,X818,X819)
| X825 != vskolem1095(X824,X822,X823,X818,X819)
| X826 != vskolem1099(X825,X824,X822,X823,X818,X819)
| X827 != vskolem1102(X826,X825,X824,X822,X823,X818,X819)
| rpoint(vskolem1103(X827,X826,X825,X824,X822,X823,X818,X819)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(223), 0), 7)'])])]) ).
cnf(c_0_17,negated_conjecture,
( vf(vd1069,vd1070) != vf(vd1074,X1)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
( vf(X1,vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1099(vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1095(vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3),vskolem1092(X1,X1,X2,X3),X1,X1,X2,X3)) = vf(X2,X3)
| X3 = X1
| X2 = X1
| X2 = X3
| ~ rpoint(X1)
| ~ rpoint(X2)
| ~ rpoint(X3) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_13])])])])])])]) ).
cnf(c_0_19,plain,
rpoint(vd1074),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,plain,
( X1 = X2
| X5 = X2
| X5 = X1
| rpoint(vskolem1103(X10,X9,X8,X7,X5,X6,X1,X2))
| X2 != X3
| ~ rpoint(X3)
| X1 != X4
| ~ rpoint(X4)
| X5 != X6
| ~ rpoint(X6)
| X7 != vskolem1092(X5,X6,X1,X2)
| X8 != vskolem1095(X7,X5,X6,X1,X2)
| X9 != vskolem1099(X8,X7,X5,X6,X1,X2)
| X10 != vskolem1102(X9,X8,X7,X5,X6,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_21,plain,
( vd1069 = esk2_0
& rpoint(esk2_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s1(plural(220)))'])]) ).
fof(c_0_22,plain,
( vd1070 = esk1_0
& rpoint(esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['qe(s2(plural(220)))'])]) ).
cnf(c_0_23,negated_conjecture,
( X1 = vd1074
| X2 = vd1074
| X2 = X1
| vf(vd1069,vd1070) != vf(X2,X1)
| ~ rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1099(vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1095(vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1),vskolem1092(vd1074,vd1074,X2,X1),vd1074,vd1074,X2,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
( X1 = X2
| X3 = X2
| X3 = X1
| rpoint(vskolem1103(vskolem1102(vskolem1099(vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1099(vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1095(vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1),vskolem1092(X2,X2,X3,X1),X2,X2,X3,X1))
| ~ rpoint(X2)
| ~ rpoint(X3)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_20])])])])])])]) ).
cnf(c_0_25,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
vd1069 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_27,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
vd1070 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_29,negated_conjecture,
( X1 = vd1074
| X2 = vd1074
| X1 = X2
| vf(vd1069,vd1070) != vf(X1,X2)
| ~ rpoint(X1)
| ~ rpoint(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_19])]) ).
cnf(c_0_30,plain,
rpoint(vd1069),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
rpoint(vd1070),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
vd1074 != vd1069,
inference(split_conjunct,[status(thm)],['holds(conjunct1(221), 1076, 0)']) ).
cnf(c_0_33,plain,
vd1074 != vd1070,
inference(split_conjunct,[status(thm)],['holds(conjunct2(221), 1077, 0)']) ).
cnf(c_0_34,plain,
vd1069 != vd1070,
inference(split_conjunct,[status(thm)],['pred(220, 5)']) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_29]),c_0_30]),c_0_31])]),c_0_32]),c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO273+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 18:49:58 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 56.14/56.28 % Version : CSE_E---1.5
% 56.14/56.28 % Problem : theBenchmark.p
% 56.14/56.28 % Proof found
% 56.14/56.28 % SZS status Theorem for theBenchmark.p
% 56.14/56.28 % SZS output start Proof
% See solution above
% 56.14/56.28 % Total time : 55.707000 s
% 56.14/56.28 % SZS output end Proof
% 56.14/56.28 % Total time : 55.722000 s
%------------------------------------------------------------------------------