TSTP Solution File: GEO305+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO305+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 : n032.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 22:47:44 EDT 2023
% Result : Theorem 0.51s 0.66s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 96
% Syntax : Number of formulae : 117 ( 20 unt; 89 typ; 0 def)
% Number of atoms : 92 ( 30 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 104 ( 40 ~; 32 |; 31 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 279 ( 73 >; 206 *; 0 +; 0 <<)
% Number of predicates : 16 ( 14 usr; 1 prp; 0-3 aty)
% Number of functors : 75 ( 75 usr; 16 con; 0-18 aty)
% Number of variables : 32 ( 0 sgn; 13 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1302: $i ).
tff(decl_23,type,
vd1297: $i ).
tff(decl_24,type,
ron: ( $i * $i ) > $o ).
tff(decl_25,type,
vd1299: $i ).
tff(decl_26,type,
vd1295: $i ).
tff(decl_27,type,
vd1300: $i ).
tff(decl_28,type,
vd1303: $i ).
tff(decl_29,type,
vd1289: $i ).
tff(decl_30,type,
vd1287: $i ).
tff(decl_31,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_32,type,
rpoint: $i > $o ).
tff(decl_33,type,
vd1288: $i ).
tff(decl_34,type,
rline: $i > $o ).
tff(decl_35,type,
vf: ( $i * $i ) > $i ).
tff(decl_36,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
rless: ( $i * $i ) > $o ).
tff(decl_38,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
rcircle: $i > $o ).
tff(decl_41,type,
rinside: ( $i * $i ) > $o ).
tff(decl_42,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
vplus: ( $i * $i ) > $i ).
tff(decl_44,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_45,type,
v0: $i ).
tff(decl_46,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_47,type,
rreal: $i > $o ).
tff(decl_48,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_49,type,
vd684: $i ).
tff(decl_50,type,
vperp: $i ).
tff(decl_51,type,
vg: ( $i * $i * $i ) > $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,
rleq: ( $i * $i ) > $o ).
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_0: $i ).
tff(decl_60,type,
esk4_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk5_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk8_1: $i > $i ).
tff(decl_65,type,
esk9_1: $i > $i ).
tff(decl_66,type,
esk10_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk11_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk16_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk24_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk27_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk33_1: $i > $i ).
tff(decl_90,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk35_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk36_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
esk37_3: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
esk38_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk39_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk40_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk41_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk42_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk44_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
esk46_1: $i > $i ).
tff(decl_103,type,
esk47_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_105,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_106,type,
esk50_1: $i > $i ).
tff(decl_107,type,
esk51_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
esk54_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))',axiom,
! [X4,X5,X6,X7,X8] :
( ( X7 = X8
& ron(X5,X7)
& ron(X4,X7)
& rR(X5,X4,X6)
& rline(X8)
& ? [X9] :
( X6 = X9
& rpoint(X9) )
& ? [X10] :
( X5 = X10
& rpoint(X10) )
& ? [X11] :
( X4 = X11
& rpoint(X11) ) )
=> ron(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))') ).
fof('and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))',axiom,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& ? [X1] :
( vd1289 = X1
& rpoint(X1) )
& ? [X2] :
( vd1288 = X2
& rpoint(X2) )
& ? [X3] :
( vd1287 = X3
& rpoint(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))') ).
fof('and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))',axiom,
( vd1302 = vd1303
& rR(vd1289,vd1287,vd1302)
& rpoint(vd1303)
& rR(vd1288,vd1287,vd1299) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))') ).
fof('pred(conjunct2(349), 0)',conjecture,
ron(vd1302,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(conjunct2(349), 0)') ).
fof('pred(347, 0)',axiom,
rline(vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(347, 0)') ).
fof('pred(s1(plural(347)), 0)',axiom,
ron(vd1287,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s1(plural(347)), 0)') ).
fof('pred(s2(plural(347)), 0)',axiom,
ron(vd1289,vd1297),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(s2(plural(347)), 0)') ).
fof(c_0_7,plain,
! [X764,X765,X766,X767,X768,X769,X770,X771] :
( X767 != X768
| ~ ron(X765,X767)
| ~ ron(X764,X767)
| ~ rR(X765,X764,X766)
| ~ rline(X768)
| X766 != X769
| ~ rpoint(X769)
| X765 != X770
| ~ rpoint(X770)
| X764 != X771
| ~ rpoint(X771)
| ron(X766,X767) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(83), 0), imp(cond(axiom(83), 0)))'])])]) ).
fof(c_0_8,plain,
( vf(vd1287,vd1288) = vf(vd1287,vd1289)
& vd1288 != vd1289
& vd1287 != vd1289
& vd1287 != vd1288
& vd1289 = esk1_0
& rpoint(esk1_0)
& vd1288 = esk2_0
& rpoint(esk2_0)
& vd1287 = esk3_0
& rpoint(esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(holds(conjunct2(345), 1294, 0), and(pred(conjunct1(345), 9), and(pred(conjunct1(345), 8), and(pred(conjunct1(345), 7), and(qe(s3(plural(345))), and(qe(s2(plural(345))), qe(s1(plural(345)))))))))'])]) ).
cnf(c_0_9,plain,
( ron(X5,X1)
| X1 != X2
| ~ ron(X3,X1)
| ~ ron(X4,X1)
| ~ rR(X3,X4,X5)
| ~ rline(X2)
| X5 != X6
| ~ rpoint(X6)
| X3 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
rpoint(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
vd1287 = esk3_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
rpoint(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
vd1289 = esk1_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
rpoint(vd1303),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_15,plain,
vd1302 = vd1303,
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
fof(c_0_16,negated_conjecture,
~ ron(vd1302,vd1297),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],['pred(conjunct2(349), 0)'])]) ).
cnf(c_0_17,plain,
( ron(X1,X2)
| ~ rline(X2)
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X1)
| ~ rR(X4,X3,X1)
| ~ ron(X3,X2)
| ~ ron(X4,X2) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_9])])])]) ).
cnf(c_0_18,plain,
rR(vd1289,vd1287,vd1302),
inference(split_conjunct,[status(thm)],['and(pred(conjunct2(348), 4), and(holds(conjunct2(348), 1304, 0), and(pred(conjunct2(348), 1), holds(conjunct1(348), 1301, 0))))']) ).
cnf(c_0_19,plain,
rpoint(vd1287),
inference(rw,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_20,plain,
rpoint(vd1289),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_21,plain,
rpoint(vd1302),
inference(rw,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_22,negated_conjecture,
~ ron(vd1302,vd1297),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( ron(vd1302,X1)
| ~ rline(X1)
| ~ ron(vd1287,X1)
| ~ ron(vd1289,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),c_0_21])]) ).
cnf(c_0_24,plain,
rline(vd1297),
inference(split_conjunct,[status(thm)],['pred(347, 0)']) ).
cnf(c_0_25,plain,
ron(vd1287,vd1297),
inference(split_conjunct,[status(thm)],['pred(s1(plural(347)), 0)']) ).
cnf(c_0_26,plain,
ron(vd1289,vd1297),
inference(split_conjunct,[status(thm)],['pred(s2(plural(347)), 0)']) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GEO305+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.09 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue Aug 29 22:43:17 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.13/0.45 start to proof: theBenchmark
% 0.51/0.66 % Version : CSE_E---1.5
% 0.51/0.66 % Problem : theBenchmark.p
% 0.51/0.66 % Proof found
% 0.51/0.66 % SZS status Theorem for theBenchmark.p
% 0.51/0.66 % SZS output start Proof
% See solution above
% 0.51/0.67 % Total time : 0.201000 s
% 0.51/0.67 % SZS output end Proof
% 0.51/0.67 % Total time : 0.208000 s
%------------------------------------------------------------------------------