TSTP Solution File: GEO270+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO270+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n012.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 22:47:36 EDT 2023
% Result : Theorem 54.69s 55.10s
% Output : CNFRefutation 54.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 83
% Syntax : Number of formulae : 106 ( 9 unt; 78 typ; 0 def)
% Number of atoms : 117 ( 74 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 150 ( 61 ~; 60 |; 20 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 260 ( 70 >; 190 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 64 ( 64 usr; 8 con; 0-18 aty)
% Number of variables : 65 ( 0 sgn; 37 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1049: $i ).
tff(decl_23,type,
vf: ( $i * $i ) > $i ).
tff(decl_24,type,
vd1047: $i ).
tff(decl_25,type,
rpoint: $i > $o ).
tff(decl_26,type,
vd1050: $i ).
tff(decl_27,type,
vd1048: $i ).
tff(decl_28,type,
vskolem1061: ( $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
vskolem1063: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
vskolem1064: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
ron: ( $i * $i ) > $o ).
tff(decl_32,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_33,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_34,type,
rcircle: $i > $o ).
tff(decl_35,type,
rinside: ( $i * $i ) > $o ).
tff(decl_36,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
rline: $i > $o ).
tff(decl_40,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
vplus: ( $i * $i ) > $i ).
tff(decl_42,type,
v0: $i ).
tff(decl_43,type,
rreal: $i > $o ).
tff(decl_44,type,
vperp: $i ).
tff(decl_45,type,
rless: ( $i * $i ) > $o ).
tff(decl_46,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_47,type,
rleq: ( $i * $i ) > $o ).
tff(decl_48,type,
vd684: $i ).
tff(decl_49,type,
vd14: $i ).
tff(decl_50,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
rtriangle: $i > $o ).
tff(decl_52,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk3_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_55,type,
esk4_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_56,type,
esk5_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_57,type,
esk6_3: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk9_3: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
esk10_3: ( $i * $i * $i ) > $i ).
tff(decl_62,type,
esk11_3: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
esk12_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk13_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
esk15_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk16_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk22_1: $i > $i ).
tff(decl_74,type,
esk23_1: $i > $i ).
tff(decl_75,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
esk26_1: $i > $i ).
tff(decl_78,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk28_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk29_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
esk31_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
esk32_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk33_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
esk34_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
esk35_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
esk36_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk37_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_89,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk39_1: $i > $i ).
tff(decl_91,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk41_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk43_1: $i > $i ).
tff(decl_95,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk48_2: ( $i * $i ) > $i ).
fof('qe(208)',conjecture,
? [X1] :
( vf(vd1049,X1) = vf(X1,vd1047)
& vf(vd1047,vd1049) = vf(vd1049,X1)
& rpoint(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qe(208)') ).
fof('ass(cond(proof(209), 0), 1)',axiom,
! [X2,X3,X4,X5] :
( ( X4 = X5
& X2 != X4
& rpoint(X5)
& X2 = X3
& rpoint(X3) )
=> ! [X6] :
( X6 = vskolem1061(X2,X3,X4,X5)
=> ! [X7] :
( X7 = vskolem1063(X6,X2,X3,X4,X5)
=> vf(X2,X4) = vf(X4,vskolem1064(X7,X6,X2,X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(209), 0), 1)') ).
fof('and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))',axiom,
( vd1049 = vd1050
& vd1047 != vd1049
& rpoint(vd1050)
& vd1047 = vd1048
& rpoint(vd1048) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))') ).
fof('ass(cond(proof(209), 0), 0)',axiom,
! [X2,X3,X4,X5] :
( ( X4 = X5
& X2 != X4
& rpoint(X5)
& X2 = X3
& rpoint(X3) )
=> ! [X6] :
( X6 = vskolem1061(X2,X3,X4,X5)
=> ! [X7] :
( X7 = vskolem1063(X6,X2,X3,X4,X5)
=> vf(X4,vskolem1064(X7,X6,X2,X3,X4,X5)) = vf(vskolem1064(X7,X6,X2,X3,X4,X5),X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(209), 0), 0)') ).
fof('ass(cond(proof(209), 0), 6)',axiom,
! [X2,X3,X4,X5] :
( ( X4 = X5
& X2 != X4
& rpoint(X5)
& X2 = X3
& rpoint(X3) )
=> ! [X6] :
( X6 = vskolem1061(X2,X3,X4,X5)
=> ! [X7] :
( X7 = vskolem1063(X6,X2,X3,X4,X5)
=> rpoint(vskolem1064(X7,X6,X2,X3,X4,X5)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(209), 0), 6)') ).
fof(c_0_5,negated_conjecture,
~ ? [X1] :
( vf(vd1049,X1) = vf(X1,vd1047)
& vf(vd1047,vd1049) = vf(vd1049,X1)
& rpoint(X1) ),
inference(assume_negation,[status(cth)],['qe(208)']) ).
fof(c_0_6,plain,
! [X742,X743,X744,X745,X746,X747] :
( X744 != X745
| X742 = X744
| ~ rpoint(X745)
| X742 != X743
| ~ rpoint(X743)
| X746 != vskolem1061(X742,X743,X744,X745)
| X747 != vskolem1063(X746,X742,X743,X744,X745)
| vf(X742,X744) = vf(X744,vskolem1064(X747,X746,X742,X743,X744,X745)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(209), 0), 1)'])])]) ).
fof(c_0_7,negated_conjecture,
! [X735] :
( vf(vd1049,X735) != vf(X735,vd1047)
| vf(vd1047,vd1049) != vf(vd1049,X735)
| ~ rpoint(X735) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
cnf(c_0_8,plain,
( X3 = X1
| vf(X3,X1) = vf(X1,vskolem1064(X6,X5,X3,X4,X1,X2))
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4)
| X5 != vskolem1061(X3,X4,X1,X2)
| X6 != vskolem1063(X5,X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
rpoint(vd1050),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))']) ).
cnf(c_0_10,plain,
vd1049 = vd1050,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))']) ).
fof(c_0_11,plain,
! [X736,X737,X738,X739,X740,X741] :
( X738 != X739
| X736 = X738
| ~ rpoint(X739)
| X736 != X737
| ~ rpoint(X737)
| X740 != vskolem1061(X736,X737,X738,X739)
| X741 != vskolem1063(X740,X736,X737,X738,X739)
| vf(X738,vskolem1064(X741,X740,X736,X737,X738,X739)) = vf(vskolem1064(X741,X740,X736,X737,X738,X739),X736) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(209), 0), 0)'])])]) ).
cnf(c_0_12,negated_conjecture,
( vf(vd1049,X1) != vf(X1,vd1047)
| vf(vd1047,vd1049) != vf(vd1049,X1)
| ~ rpoint(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1)) = vf(X2,X1)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_8])])])]) ).
cnf(c_0_14,plain,
rpoint(vd1049),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( X3 = X1
| vf(X1,vskolem1064(X6,X5,X3,X4,X1,X2)) = vf(vskolem1064(X6,X5,X3,X4,X1,X2),X3)
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4)
| X5 != vskolem1061(X3,X4,X1,X2)
| X6 != vskolem1063(X5,X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
rpoint(vd1048),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))']) ).
cnf(c_0_17,plain,
vd1047 = vd1048,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))']) ).
cnf(c_0_18,negated_conjecture,
( vd1049 = X1
| vf(vskolem1064(vskolem1063(vskolem1061(X1,X1,vd1049,vd1049),X1,X1,vd1049,vd1049),vskolem1061(X1,X1,vd1049,vd1049),X1,X1,vd1049,vd1049),vd1047) != vf(X1,vd1049)
| vf(vd1047,vd1049) != vf(X1,vd1049)
| ~ rpoint(vskolem1064(vskolem1063(vskolem1061(X1,X1,vd1049,vd1049),X1,X1,vd1049,vd1049),vskolem1061(X1,X1,vd1049,vd1049),X1,X1,vd1049,vd1049))
| ~ rpoint(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).
cnf(c_0_19,plain,
( vf(X1,vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1)) = vf(vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),X2)
| X1 = X2
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_15])])])]) ).
cnf(c_0_20,plain,
rpoint(vd1047),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,plain,
vd1047 != vd1049,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(207), 4), and(holds(conjunct2(207), 1051, 0), and(pred(conjunct2(207), 1), and(pred(conjunct1(207), 2), pred(conjunct1(207), 1)))))']) ).
fof(c_0_22,plain,
! [X772,X773,X774,X775,X776,X777] :
( X774 != X775
| X772 = X774
| ~ rpoint(X775)
| X772 != X773
| ~ rpoint(X773)
| X776 != vskolem1061(X772,X773,X774,X775)
| X777 != vskolem1063(X776,X772,X773,X774,X775)
| rpoint(vskolem1064(X777,X776,X772,X773,X774,X775)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['ass(cond(proof(209), 0), 6)'])])]) ).
cnf(c_0_23,negated_conjecture,
( vf(vd1049,vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) != vf(vd1047,vd1049)
| ~ rpoint(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_14])]),c_0_21]) ).
cnf(c_0_24,plain,
( X3 = X1
| rpoint(vskolem1064(X6,X5,X3,X4,X1,X2))
| X1 != X2
| ~ rpoint(X2)
| X3 != X4
| ~ rpoint(X4)
| X5 != vskolem1061(X3,X4,X1,X2)
| X6 != vskolem1063(X5,X3,X4,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_25,negated_conjecture,
~ rpoint(vskolem1064(vskolem1063(vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049),vskolem1061(vd1047,vd1047,vd1049,vd1049),vd1047,vd1047,vd1049,vd1049)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_13]),c_0_20]),c_0_14])]),c_0_21]) ).
cnf(c_0_26,plain,
( X1 = X2
| rpoint(vskolem1064(vskolem1063(vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1),vskolem1061(X2,X2,X1,X1),X2,X2,X1,X1))
| ~ rpoint(X2)
| ~ rpoint(X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_24])])])]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_20]),c_0_14])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO270+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n012.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 21:05:08 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 54.69/55.10 % Version : CSE_E---1.5
% 54.69/55.10 % Problem : theBenchmark.p
% 54.69/55.10 % Proof found
% 54.69/55.10 % SZS status Theorem for theBenchmark.p
% 54.69/55.10 % SZS output start Proof
% See solution above
% 54.69/55.11 % Total time : 54.535000 s
% 54.69/55.11 % SZS output end Proof
% 54.69/55.11 % Total time : 54.548000 s
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