TSTP Solution File: GEO517+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GEO517+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 : 600s
% DateTime : Sat Jul 16 06:16:31 EDT 2022
% Result : Theorem 50.94s 51.16s
% Output : Refutation 50.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of clauses : 21 ( 15 unt; 4 nHn; 19 RR)
% Number of literals : 53 ( 9 equ; 29 neg)
% Maximal clause size : 11 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(64,axiom,
( le(X,Y,Z,U)
| le(Z,U,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz5_10) ).
cnf(97,axiom,
( ~ s_m(X,Y,Z)
| s_m(Z,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_2) ).
cnf(103,axiom,
s(X,s(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz7_7) ).
cnf(176,axiom,
( ~ opposite(X,Y,Z,U)
| opposite(U,Y,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_2) ).
cnf(180,axiom,
( ~ opposite(X,Y,Z,U)
| Y = Z
| ~ s_col(Y,Z,V)
| ~ s_col(Y,Z,W)
| ~ perp(Y,Z,X,W)
| ~ perp(Y,Z,U,V)
| ~ s_m(W,X1,V)
| ~ sameside(Y1,W,X)
| ~ le(V,U,W,X)
| V = W
| sameside(s(X1,Y1),V,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a) ).
cnf(181,axiom,
( ~ opposite(X,Y,Z,U)
| Y = Z
| ~ s_col(Y,Z,V)
| ~ s_col(Y,Z,W)
| ~ perp(Y,Z,X,W)
| ~ perp(Y,Z,U,V)
| ~ s_m(W,X1,V)
| sameside(Y1,W,X)
| ~ le(V,U,W,X)
| V = W
| ~ sameside(s(X1,Y1),V,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4a2) ).
cnf(182,axiom,
( ~ opposite(X,Y,Z,U)
| Y = Z
| ~ s_col(Y,Z,V)
| ~ s_col(Y,Z,W)
| ~ perp(Y,Z,X,W)
| ~ perp(Y,Z,U,V)
| ~ s_m(W,X1,V)
| ~ sameside(Y1,W,X)
| V != W
| sameside(s(X1,Y1),V,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4b) ).
cnf(183,negated_conjecture,
opposite('SKOLEMAAAV1','SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(184,negated_conjecture,
'SKOLEMAAAV2' != 'SKOLEMAAAV3',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(185,negated_conjecture,
s_col('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(186,negated_conjecture,
s_col('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(187,negated_conjecture,
perp('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV1','SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(188,negated_conjecture,
perp('SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV4','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(189,negated_conjecture,
s_m('SKOLEMAAAV6','SKOLEMAAAV7','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(190,negated_conjecture,
sameside('SKOLEMAAAV8','SKOLEMAAAV6','SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(191,negated_conjecture,
~ sameside(s('SKOLEMAAAV7','SKOLEMAAAV8'),'SKOLEMAAAV5','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz9_4) ).
cnf(336,plain,
s_m('SKOLEMAAAV5','SKOLEMAAAV7','SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[97,189]) ).
cnf(422,plain,
opposite('SKOLEMAAAV4','SKOLEMAAAV2','SKOLEMAAAV3','SKOLEMAAAV1'),
inference('HYPERRESOLVE',[status(thm)],[176,183]) ).
cnf(3164,plain,
'SKOLEMAAAV6' != 'SKOLEMAAAV5',
inference('UR-RESOLVE',[status(thm)],[182,183,184,185,186,187,188,189,190,191]) ).
cnf(3231,plain,
le('SKOLEMAAAV6','SKOLEMAAAV1','SKOLEMAAAV5','SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[180,183,185,186,187,188,189,190,64]),191,3164,184]) ).
cnf(10278,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[181,3231,422,184,186,185,188,187,336,191,3164]),190,103,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO517+1 : TPTP v8.1.0. Released v7.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 17 22:37:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:37:32
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-17T22:37:32
% 0.21/0.55
% 0.21/0.56 ; Recognized commutativity assertion (OR (NOT (|s_col| ?X ?Y ?Z)) (|s_col| ?Y ?X ?Z)).
% 0.21/0.57 ; Recognized relation functionality assertion (OR (NOT (|s_m| ?X ?Y ?Z)) (NOT (|s_m| ?X ?Y ?U)) (= ?Z ?U)).
% 50.94/51.16 ; Declaring s_col to be commutative.
% 50.94/51.16
% 50.94/51.16 #||
% 50.94/51.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 50.94/51.16 % SZS output start Refutation
% See solution above
% 50.94/51.16 ||#
% 50.94/51.16
% 50.94/51.16 ; Summary of computation:
% 50.94/51.16 ; 171817 formulas have been input or derived (from 401 formulas).
% 50.94/51.16 ; 10278 ( 6%) were retained. Of these,
% 50.94/51.16 ; 489 ( 5%) were simplified or subsumed later,
% 50.94/51.16 ; 9789 (95%) are still being kept.
% 50.94/51.16 ;
% 50.94/51.16 ; Run time in seconds excluding printing time:
% 50.94/51.16 ; 0.070 0% Read assertion file (1 call)
% 50.94/51.16 ; 0.011 0% Assert (181 calls)
% 50.94/51.16 ; 1.133 2% Process new row (162,227 calls)
% 50.94/51.16 ; 35.956 71% Resolution (800 calls)
% 50.94/51.16 ; 0.003 0% Paramodulation (400 calls)
% 50.94/51.16 ; 0.001 0% Factoring (13 calls)
% 50.94/51.16 ; 0.605 1% Condensing (47,455 calls)
% 50.94/51.16 ; 5.316 10% Forward subsumption (47,455 calls)
% 50.94/51.16 ; 0.413 1% Backward subsumption (7,210 calls)
% 50.94/51.16 ; 2.215 4% Clause clause subsumption (459,954 calls)
% 50.94/51.16 ; 4.329 9% Forward simplification (162,227 calls)
% 50.94/51.16 ; 0.073 0% Backward simplification (10,276 calls)
% 50.94/51.16 ; 0.034 0% Ordering (32,406 calls)
% 50.94/51.16 ; 0.000 0% Sortal reasoning (32 calls)
% 50.94/51.16 ; 0.001 0% Purity testing (1 call)
% 50.94/51.16 ; 0.517 1% Other
% 50.94/51.16 ; 50.677 Total
% 50.94/51.16 ; 50.686 Real time
% 50.94/51.16 ;
% 50.94/51.16 ; Term-hash-array has 14,043 terms in all.
% 50.94/51.16 ; Feature-vector-row-index has 6,871 entries (6,871 at peak, 7,210 added, 339 deleted).
% 50.94/51.16 ; Feature-vector-row-index has 11,483 nodes (11,483 at peak, 12,121 added, 638 deleted).
% 50.94/51.16 ; Retrieved 1,104,028 possibly forward subsuming rows in 47,455 calls.
% 50.94/51.16 ; Retrieved 29,677 possibly backward subsumed rows in 7,210 calls.
% 50.94/51.16 ; Path-index has 13,806 entries (13,806 at peak, 14,491 added, 685 deleted).
% 50.94/51.16 ; Path-index has 11,660 nodes (11,660 at peak, 11,829 added, 169 deleted).
% 50.94/51.16 ; Trie-index has 13,806 entries (13,806 at peak, 14,491 added, 685 deleted).
% 50.94/51.16 ; Trie-index has 55,455 nodes (55,455 at peak, 57,060 added, 1,605 deleted).
% 50.94/51.16 ; Retrieved 642,664 generalization terms in 687,135 calls.
% 50.94/51.16 ; Retrieved 10,985 instance terms in 3,065 calls.
% 50.94/51.16 ; Retrieved 58,533,904 unifiable terms in 765,496 calls.
% 50.94/51.16 ;
% 50.94/51.16 ; The agenda of rows to process has 21 entries:
% 50.94/51.16 ; 1 with value 13 1 with value 22 2 with value 34
% 50.94/51.16 ; 5 with value 14 3 with value 25 1 with value 36
% 50.94/51.16 ; 1 with value 15 2 with value 32 1 with value 38
% 50.94/51.16 ; 4 with value 17
% 50.94/51.16 ; The agenda of rows to give has 9392 entries:
% 50.94/51.16 ; 106 with value (4 7) 114 with value (4 29) 6 with value (4 51)
% 50.94/51.16 ; 288 with value (4 8) 124 with value (4 30) 11 with value (4 52)
% 50.94/51.16 ; 260 with value (4 9) 365 with value (4 31) 37 with value (4 53)
% 50.94/51.16 ; 456 with value (4 10) 560 with value (4 32) 24 with value (4 54)
% 50.94/51.16 ; 263 with value (4 11) 227 with value (4 33) 18 with value (4 55)
% 50.94/51.16 ; 493 with value (4 12) 117 with value (4 34) 8 with value (4 56)
% 50.94/51.16 ; 160 with value (4 13) 133 with value (4 35) 4 with value (4 57)
% 50.94/51.16 ; 109 with value (4 14) 462 with value (4 36) 25 with value (4 58)
% 50.94/51.16 ; 198 with value (4 15) 494 with value (4 37) 3 with value (4 59)
% 50.94/51.16 ; 277 with value (4 16) 102 with value (4 38) 6 with value (4 61)
% 50.94/51.16 ; 416 with value (4 17) 102 with value (4 39) 2 with value (4 62)
% 50.94/51.16 ; 53 with value (4 18) 89 with value (4 40) 3 with value (4 63)
% 50.94/51.16 ; 150 with value (4 19) 223 with value (4 41) 2 with value (4 64)
% 50.94/51.16 ; 395 with value (4 20) 259 with value (4 42) 1 with value (4 65)
% 50.94/51.16 ; 163 with value (4 21) 8 with value (4 43) 2 with value (4 68)
% 50.94/51.16 ; 99 with value (4 22) 22 with value (4 44) 3 with value (4 69)
% 50.94/51.16 ; 184 with value (4 23) 82 with value (4 45) 1 with value (4 70)
% 50.94/51.16 ; 274 with value (4 24) 38 with value (4 46) 2 with value (4 73)
% 50.94/51.16 ; 339 with value (4 25) 41 with value (4 47) 1 with value (4 91)
% 50.94/51.16 ; 139 with value (4 26) 24 with value (4 48) 1 with value (4 97)
% 50.94/51.16 ; 298 with value (4 27) 21 with value (4 49) 2 with value (4 99)
% 50.94/51.16 ; 468 with value (4 28) 34 with value (4 50) 1 with value (4 102)
% 50.94/51.16 Evaluation took:
% 50.94/51.16 50.689 seconds of real time
% 50.94/51.16 49.14172 seconds of user run time
% 50.94/51.16 1.540381 seconds of system run time
% 50.94/51.16 [Run times include 2.708 seconds GC run time.]
% 50.94/51.16 0 calls to %EVAL
% 50.94/51.16 0 page faults and
% 50.94/51.16 2,667,484,288 bytes consed.
% 50.94/51.16 :PROOF-FOUND
% 50.94/51.16 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-17T22:38:23
% 50.94/51.16 :PROOF-FOUND
% 50.94/51.16 *
%------------------------------------------------------------------------------