TSTP Solution File: GEO344+1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : GEO344+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 : n005.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 0.79s 0.91s
% Output : CNFRefutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 96
% Syntax : Number of formulae : 117 ( 15 unt; 90 typ; 0 def)
% Number of atoms : 119 ( 44 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 144 ( 52 ~; 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 : 76 ( 76 usr; 17 con; 0-18 aty)
% Number of variables : 36 ( 0 sgn; 14 !; 7 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
vd1409: $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,
vd1419: $i ).
tff(decl_27,type,
vd1415: $i ).
tff(decl_28,type,
vskolem1416: $i ).
tff(decl_29,type,
vd1399: $i ).
tff(decl_30,type,
rpoint: $i > $o ).
tff(decl_31,type,
vd1406: $i ).
tff(decl_32,type,
vd1407: $i ).
tff(decl_33,type,
vd1400: $i ).
tff(decl_34,type,
vf: ( $i * $i ) > $i ).
tff(decl_35,type,
rS: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
vangle: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
rR: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
rcircle: $i > $o ).
tff(decl_39,type,
rinside: ( $i * $i ) > $o ).
tff(decl_40,type,
vplus: ( $i * $i ) > $i ).
tff(decl_41,type,
rless: ( $i * $i ) > $o ).
tff(decl_42,type,
vskolem1120: ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
vskolem1078: ( $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
vskolem1052: ( $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
v0: $i ).
tff(decl_46,type,
rcenter: ( $i * $i ) > $o ).
tff(decl_47,type,
rintersect: ( $i * $i ) > $o ).
tff(decl_48,type,
rreal: $i > $o ).
tff(decl_49,type,
vg: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
vd684: $i ).
tff(decl_51,type,
vd14: $i ).
tff(decl_52,type,
vtriangle: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
rtriangle: $i > $o ).
tff(decl_54,type,
vperp: $i ).
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_0: $i ).
tff(decl_61,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk6_1: $i > $i ).
tff(decl_63,type,
esk7_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_64,type,
esk8_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
esk9_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_66,type,
esk10_1: $i > $i ).
tff(decl_67,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_68,type,
esk12_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_69,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk15_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_72,type,
esk16_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
esk17_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_74,type,
esk18_18: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $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_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk22_1: $i > $i ).
tff(decl_79,type,
esk23_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
esk24_3: ( $i * $i * $i ) > $i ).
tff(decl_81,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk27_3: ( $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_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
esk32_3: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
esk33_3: ( $i * $i * $i ) > $i ).
tff(decl_90,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_91,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
esk36_7: ( $i * $i * $i * $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_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
esk40_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
esk41_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
esk42_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
esk43_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
esk44_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
esk45_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_103,type,
esk47_1: $i > $i ).
tff(decl_104,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
esk49_3: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_107,type,
esk51_1: $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 ).
tff(decl_111,type,
esk55_3: ( $i * $i * $i ) > $i ).
fof('qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))',axiom,
! [X16,X17,X18,X19] :
( ( ron(X17,X19)
& ron(X17,X18)
& ron(X16,X19)
& ron(X16,X18)
& ? [X20] :
( X19 = X20
& rline(X20) )
& ? [X21] :
( X18 = X21
& rline(X21) )
& X16 != X17
& ? [X22] :
( X17 = X22
& rpoint(X22) )
& ? [X23] :
( X16 = X23
& rpoint(X23) ) )
=> X18 = X19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(axiom(73), 0), imp(cond(axiom(73), 0)))') ).
fof('qu(theu(the(409), 1), imp(the(409)))',conjecture,
! [X1] :
( ( ron(vd1409,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1419 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(theu(the(409), 1), imp(the(409)))') ).
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(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))',axiom,
( ron(vd1409,vd1419)
& ron(vd1401,vd1419)
& rline(vd1419) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))') ).
fof('pred(406, 0)',axiom,
rpoint(vd1409),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','pred(406, 0)') ).
fof('holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)',axiom,
vd1409 != vd1401,
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)') ).
fof(c_0_6,plain,
! [X794,X795,X796,X797,X798,X799,X800,X801] :
( ~ ron(X795,X797)
| ~ ron(X795,X796)
| ~ ron(X794,X797)
| ~ ron(X794,X796)
| X797 != X798
| ~ rline(X798)
| X796 != X799
| ~ rline(X799)
| X794 = X795
| X795 != X800
| ~ rpoint(X800)
| X794 != X801
| ~ rpoint(X801)
| X796 = X797 ),
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_7,negated_conjecture,
~ ! [X1] :
( ( ron(vd1409,X1)
& ron(vd1401,X1)
& rline(X1) )
=> X1 = vd1419 ),
inference(assume_negation,[status(cth)],['qu(theu(the(409), 1), imp(the(409)))']) ).
fof(c_0_8,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_9,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_6]) ).
fof(c_0_10,negated_conjecture,
( ron(vd1409,esk1_0)
& ron(vd1401,esk1_0)
& rline(esk1_0)
& esk1_0 != vd1419 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
cnf(c_0_11,plain,
rpoint(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
vd1401 = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,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_9])])])]) ).
cnf(c_0_14,negated_conjecture,
ron(vd1401,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
rpoint(vd1401),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
rline(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,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_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_18,plain,
ron(vd1401,vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_19,plain,
rline(vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_20,negated_conjecture,
esk1_0 != vd1419,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,negated_conjecture,
( X1 = vd1401
| ~ rpoint(X1)
| ~ ron(X1,esk1_0)
| ~ ron(X1,vd1419) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
ron(vd1409,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_23,plain,
rpoint(vd1409),
inference(split_conjunct,[status(thm)],['pred(406, 0)']) ).
cnf(c_0_24,plain,
ron(vd1409,vd1419),
inference(split_conjunct,[status(thm)],['and(pred(s2(plural(the(409))), 0), and(pred(s1(plural(the(409))), 0), pred(the(409), 0)))']) ).
cnf(c_0_25,plain,
vd1409 != vd1401,
inference(split_conjunct,[status(thm)],['holds(conjunct2(conjunct2(conjunct2(406))), 1413, 0)']) ).
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
% 0.09/0.12 % Problem : GEO344+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n005.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 23:34:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 0.79/0.91 % Version : CSE_E---1.5
% 0.79/0.91 % Problem : theBenchmark.p
% 0.79/0.91 % Proof found
% 0.79/0.91 % SZS status Theorem for theBenchmark.p
% 0.79/0.91 % SZS output start Proof
% See solution above
% 0.79/0.92 % Total time : 0.281000 s
% 0.79/0.92 % SZS output end Proof
% 0.79/0.92 % Total time : 0.293000 s
%------------------------------------------------------------------------------