TSTP Solution File: GEO343+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO343+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 : n016.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 22:47:50 EDT 2023
% Result : Theorem 0.53s 0.83s
% Output : CNFRefutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 92
% Syntax : Number of formulae : 115 ( 15 unt; 88 typ; 0 def)
% Number of atoms : 119 ( 44 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 143 ( 51 ~; 44 |; 45 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 1 ( 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 : 74 ( 74 usr; 15 con; 0-18 aty)
% Number of variables : 36 ( 0 sgn; 14 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1399: $i ).
tff(decl_23,type,
ron: ( $i * $i ) > $o ).
tff(decl_24,type,
vd1401: $i ).
tff(decl_25,type,
rline: $i > $o ).
tff(decl_26,type,
vd1416: $i ).
tff(decl_27,type,
vd1409: $i ).
tff(decl_28,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
vd1406: $i ).
tff(decl_30,type,
vd1407: $i ).
tff(decl_31,type,
vd1400: $i ).
tff(decl_32,type,
rpoint: $i > $o ).
tff(decl_33,type,
vf: ( $i * $i ) > $i ).
tff(decl_34,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
rless: ( $i * $i ) > $o ).
tff(decl_37,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
rcircle: $i > $o ).
tff(decl_39,type,
rinside: ( $i * $i ) > $o ).
tff(decl_40,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
vplus: ( $i * $i ) > $i ).
tff(decl_43,type,
v0: $i ).
tff(decl_44,type,
rreal: $i > $o ).
tff(decl_45,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_46,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_47,type,
vd684: $i ).
tff(decl_48,type,
vg: ( $i * $i * $i ) > $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,
vperp: $i ).
tff(decl_53,type,
rleq: ( $i * $i ) > $o ).
tff(decl_54,type,
rgeq: ( $i * $i ) > $o ).
tff(decl_55,type,
esk1_0: $i ).
tff(decl_56,type,
esk2_0: $i ).
tff(decl_57,type,
esk3_0: $i ).
tff(decl_58,type,
esk4_0: $i ).
tff(decl_59,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk6_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk7_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
esk9_1: $i > $i ).
tff(decl_64,type,
esk10_1: $i > $i ).
tff(decl_65,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk12_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_67,type,
esk13_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk14_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk15_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_70,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk18_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
esk25_3: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
esk26_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
esk27_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
esk29_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk30_3: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
esk31_3: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_88,type,
esk34_1: $i > $i ).
tff(decl_89,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk36_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
esk37_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
esk38_3: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
esk39_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
esk41_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk45_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
esk47_1: $i > $i ).
tff(decl_102,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_105,type,
esk51_1: $i > $i ).
tff(decl_106,type,
esk52_3: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
esk53_3: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
esk55_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X232,X233,X234,X235] :
( ( ron(X233,X235)
& ron(X233,X234)
& ron(X232,X235)
& ron(X232,X234)
& ? [X236] :
( X235 = X236
& rline(X236) )
& ? [X237] :
( X234 = X237
& rline(X237) )
& X232 != X233
& ? [X238] :
( X233 = X238
& rpoint(X238) )
& ? [X239] :
( X232 = X239
& rpoint(X239) ) )
=> X234 = X235 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(theu(the(408), 1), imp(the(408)))',conjecture,
! [X1] :
( ( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1416 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(408), 1), imp(the(408)))') ).
fof('and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))',axiom,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& ? [X2] :
( vd1401 = X2
& rpoint(X2) )
& ? [X3] :
( vd1400 = X3
& rpoint(X3) )
& ? [X4] :
( vd1399 = X4
& rpoint(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))') ).
fof('and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))',axiom,
( ron(vd1399,vd1416)
& ron(vd1401,vd1416)
& rline(vd1416) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))') ).
fof(c_0_4,plain,
! [X1075,X1076,X1077,X1078,X1079,X1080,X1081,X1082] :
( ~ ron(X1076,X1078)
| ~ ron(X1076,X1077)
| ~ ron(X1075,X1078)
| ~ ron(X1075,X1077)
| X1078 != X1079
| ~ rline(X1079)
| X1077 != X1080
| ~ rline(X1080)
| X1075 = X1076
| X1076 != X1081
| ~ rpoint(X1081)
| X1075 != X1082
| ~ rpoint(X1082)
| X1077 = X1078 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))'])])]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ron(vd1399,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1416 ),
inference(assume_negation,[status(cth)],['qu(theu(the(408), 1), imp(the(408)))']) ).
fof(c_0_6,plain,
( vd1406 = vd1407
& ron(vd1400,vd1406)
& ron(vd1399,vd1406)
& rline(vd1407)
& vd1400 != vd1401
& vd1399 != vd1401
& vd1399 != vd1400
& vd1401 = esk2_0
& rpoint(esk2_0)
& vd1400 = esk3_0
& rpoint(esk3_0)
& vd1399 = esk4_0
& rpoint(esk4_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],['and(pred(conjunct2(405), 5), and(pred(s2(plural(conjunct2(405))), 0), and(pred(s1(plural(conjunct2(405))), 0), and(pred(conjunct2(405), 1), and(pred(conjunct1(405), 9), and(pred(conjunct1(405), 8), and(pred(conjunct1(405), 7), and(qe(s3(plural(405))), and(qe(s2(plural(405))), qe(s1(plural(405))))))))))))'])]) ).
cnf(c_0_7,plain,
( X4 = X1
| X3 = X2
| ~ ron(X1,X2)
| ~ ron(X1,X3)
| ~ ron(X4,X2)
| ~ ron(X4,X3)
| X2 != X5
| ~ rline(X5)
| X3 != X6
| ~ rline(X6)
| X1 != X7
| ~ rpoint(X7)
| X4 != X8
| ~ rpoint(X8) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
fof(c_0_8,negated_conjecture,
( ron(vd1399,esk1_0)
& ron(vd1401,esk1_0)
& rline(esk1_0)
& esk1_0 != vd1416 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_9,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
vd1401 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,plain,
( X1 = X2
| X3 = X4
| ~ rpoint(X4)
| ~ rpoint(X3)
| ~ rline(X2)
| ~ rline(X1)
| ~ ron(X4,X2)
| ~ ron(X4,X1)
| ~ ron(X3,X2)
| ~ ron(X3,X1) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[inference(er,[status(thm)],[c_0_7])])])]) ).
cnf(c_0_12,negated_conjecture,
ron(vd1401,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
( X1 = esk1_0
| X2 = vd1401
| ~ rpoint(X2)
| ~ rline(X1)
| ~ ron(vd1401,X1)
| ~ ron(X2,esk1_0)
| ~ ron(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).
cnf(c_0_16,plain,
ron(vd1401,vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_17,plain,
rline(vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_18,negated_conjecture,
esk1_0 != vd1416,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,plain,
rpoint(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,plain,
vd1399 = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( X1 = vd1401
| ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1416) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
ron(vd1399,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_23,plain,
rpoint(vd1399),
inference(rw,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
ron(vd1399,vd1416),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(408))), 0), and(pred(s1(plural(the(408))), 0), pred(the(408), 0)))']) ).
cnf(c_0_25,plain,
vd1399 != vd1401,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,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_21,c_0_22]),c_0_23]),c_0_24])]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO343+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n016.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 19:37:31 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.51/0.55 start to proof: theBenchmark
% 0.53/0.83 % Version : CSE_E---1.5
% 0.53/0.83 % Problem : theBenchmark.p
% 0.53/0.83 % Proof found
% 0.53/0.83 % SZS status Theorem for theBenchmark.p
% 0.53/0.84 % SZS output start Proof
% See solution above
% 0.53/0.84 % Total time : 0.264000 s
% 0.53/0.84 % SZS output end Proof
% 0.53/0.84 % Total time : 0.275000 s
%------------------------------------------------------------------------------