TSTP Solution File: SEU321+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU321+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : Tue Jul 19 14:21:16 EDT 2022
% Result : Theorem 0.54s 0.72s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 21 ( 10 unt; 4 nHn; 21 RR)
% Number of literals : 38 ( 7 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(37,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,subset_complement(Y,X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
cnf(41,axiom,
( ~ element(X,powerset(Y))
| element(subset_complement(Y,X),powerset(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(44,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| ~ empty(the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(45,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_membered) ).
cnf(57,negated_conjecture,
~ empty_carrier('SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(58,negated_conjecture,
one_sorted_str('SKOLEMAAAV6'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(59,negated_conjecture,
element('SKOLEMAAAV7',powerset(the_carrier('SKOLEMAAAV6'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(60,negated_conjecture,
element('SKOLEMAAAV8',the_carrier('SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(61,negated_conjecture,
( ~ in('SKOLEMAAAV8',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| in('SKOLEMAAAV8','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(62,negated_conjecture,
( in('SKOLEMAAAV8',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7'))
| ~ in('SKOLEMAAAV8','SKOLEMAAAV7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l40_tops_1) ).
cnf(63,axiom,
( X = empty_set
| ~ element(Y,powerset(X))
| ~ element(Z,X)
| in(Z,Y)
| in(Z,subset_complement(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t50_subset_1) ).
cnf(64,axiom,
( ~ element(X,powerset(Y))
| ~ in(Z,subset_complement(Y,X))
| ~ in(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_subset_1) ).
cnf(75,plain,
~ empty(the_carrier('SKOLEMAAAV6')),
inference('UR-RESOLVE',[status(thm)],[44,57,58]) ).
cnf(89,plain,
element(subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7'),powerset(the_carrier('SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[41,59]) ).
cnf(94,plain,
subset_complement(the_carrier('SKOLEMAAAV6'),subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')) = 'SKOLEMAAAV7',
inference('HYPERRESOLVE',[status(thm)],[37,59]) ).
cnf(96,plain,
( the_carrier('SKOLEMAAAV6') = empty_set
| in('SKOLEMAAAV8','SKOLEMAAAV7')
| in('SKOLEMAAAV8',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[63,59,60]) ).
cnf(306,plain,
( ~ in(X,'SKOLEMAAAV7')
| ~ in(X,subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[64,94,theory(equality)]),89]) ).
cnf(654,plain,
( the_carrier('SKOLEMAAAV6') = empty_set
| in('SKOLEMAAAV8','SKOLEMAAAV7') ),
inference('HYPERRESOLVE',[status(thm)],[61,96]) ).
cnf(656,plain,
( the_carrier('SKOLEMAAAV6') = empty_set
| in('SKOLEMAAAV8',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')) ),
inference('HYPERRESOLVE',[status(thm)],[62,654]) ).
cnf(660,plain,
the_carrier('SKOLEMAAAV6') = empty_set,
inference('HYPERRESOLVE',[status(thm)],[306,656,654]) ).
cnf(667,plain,
$false,
inference('REWRITE',[status(thm)],[75,45,660,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU321+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 20 06:50:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T06:50:33
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-20T06:50:33
% 0.19/0.48 WARNING:
% 0.19/0.48 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.48 WARNING:
% 0.19/0.48 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.54/0.72
% 0.54/0.72
% 0.54/0.72 #||
% 0.54/0.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.72 % SZS output start Refutation
% See solution above
% 0.54/0.72 ||#
% 0.54/0.72
% 0.54/0.72 ; Summary of computation:
% 0.54/0.72 ; 3157 formulas have been input or derived (from 249 formulas).
% 0.54/0.72 ; 667 (21%) were retained. Of these,
% 0.54/0.72 ; 112 (17%) were simplified or subsumed later,
% 0.54/0.72 ; 555 (83%) are still being kept.
% 0.54/0.72 ;
% 0.54/0.72 ; Run time in seconds excluding printing time:
% 0.54/0.72 ; 0.009 3% Read assertion file (1 call)
% 0.54/0.72 ; 0.001 0% Assert (42 calls)
% 0.54/0.72 ; 0.064 25% Process new row (2,869 calls)
% 0.54/0.72 ; 0.047 18% Resolution (496 calls)
% 0.54/0.72 ; 0.003 1% Paramodulation (248 calls)
% 0.54/0.72 ; 0.000 0% Factoring (20 calls)
% 0.54/0.72 ; 0.002 1% Condensing (663 calls)
% 0.54/0.72 ; 0.049 19% Forward subsumption (663 calls)
% 0.54/0.72 ; 0.007 3% Backward subsumption (330 calls)
% 0.54/0.72 ; 0.002 1% Clause clause subsumption (1,151 calls)
% 0.54/0.72 ; 0.023 9% Forward simplification (2,835 calls)
% 0.54/0.72 ; 0.009 3% Backward simplification (667 calls)
% 0.54/0.72 ; 0.002 1% Ordering (660 calls)
% 0.54/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.72 ; 0.001 0% Purity testing (1 call)
% 0.54/0.72 ; 0.041 16% Other
% 0.54/0.72 ; 0.260 Total
% 0.54/0.72 ; 0.262 Real time
% 0.54/0.72 ;
% 0.54/0.72 ; Term-hash-array has 1,085 terms in all.
% 0.54/0.72 ; Feature-vector-row-index has 276 entries (325 at peak, 330 added, 54 deleted).
% 0.54/0.72 ; Feature-vector-row-index has 2,472 nodes (3,173 at peak, 3,217 added, 745 deleted).
% 0.54/0.72 ; Retrieved 1,475 possibly forward subsuming rows in 663 calls.
% 0.54/0.72 ; Retrieved 66 possibly backward subsumed rows in 330 calls.
% 0.54/0.72 ; Path-index has 892 entries (1,051 at peak, 1,096 added, 204 deleted).
% 0.54/0.72 ; Path-index has 3,342 nodes (3,472 at peak, 3,552 added, 210 deleted).
% 0.54/0.72 ; Trie-index has 892 entries (1,051 at peak, 1,096 added, 204 deleted).
% 0.54/0.72 ; Trie-index has 4,461 nodes (5,052 at peak, 5,147 added, 686 deleted).
% 0.54/0.72 ; Retrieved 2,185 generalization terms in 7,426 calls.
% 0.54/0.72 ; Retrieved 348 instance terms in 336 calls.
% 0.54/0.72 ; Retrieved 15,777 unifiable terms in 4,756 calls.
% 0.54/0.72 ;
% 0.54/0.72 ; The agenda of backward simplifiable rows to process has 74 entries:
% 0.54/0.72 ; 74 with value 0
% 0.54/0.72 ; The agenda of rows to process has 3 entries:
% 0.54/0.72 ; 1 with value 14 1 with value 16 1 with value 19
% 0.54/0.72 ; The agenda of input rows to give has 4 entries:
% 0.54/0.72 ; 1 with value 4 1 with value 6 2 with value 11
% 0.54/0.72 ; The agenda of rows to give has 356 entries:
% 0.54/0.72 ; 1 with value (4 5) 6 with value (4 35) 5 with value (4 53)
% 0.54/0.72 ; 1 with value (4 10) 8 with value (4 36) 5 with value (4 54)
% 0.54/0.72 ; 1 with value (4 12) 8 with value (4 37) 7 with value (4 56)
% 0.54/0.72 ; 17 with value (4 20) 2 with value (4 38) 2 with value (4 57)
% 0.54/0.72 ; 7 with value (4 21) 11 with value (4 39) 5 with value (4 58)
% 0.54/0.72 ; 13 with value (4 22) 3 with value (4 40) 13 with value (4 60)
% 0.54/0.72 ; 22 with value (4 23) 6 with value (4 41) 1 with value (4 63)
% 0.54/0.72 ; 28 with value (4 24) 5 with value (4 42) 2 with value (4 64)
% 0.54/0.72 ; 20 with value (4 25) 1 with value (4 43) 5 with value (4 65)
% 0.54/0.72 ; 6 with value (4 26) 1 with value (4 44) 6 with value (4 66)
% 0.54/0.72 ; 5 with value (4 27) 3 with value (4 45) 1 with value (4 68)
% 0.54/0.72 ; 8 with value (4 28) 11 with value (4 46) 1 with value (4 69)
% 0.54/0.72 ; 18 with value (4 29) 6 with value (4 47) 1 with value (4 70)
% 0.54/0.72 ; 10 with value (4 30) 17 with value (4 48) 1 with value (4 72)
% 0.54/0.72 ; 15 with value (4 31) 10 with value (4 49) 1 with value (4 73)
% 0.54/0.72 ; 7 with value (4 32) 1 with value (4 50) 1 with value (4 76)
% 0.54/0.72 ; 6 with value (4 33) 2 with value (4 51) 1 with value (4 79)
% 0.54/0.72 ; 11 with value (4 34) 1 with value (4 52)
% 0.54/0.72 Evaluation took:
% 0.54/0.72 0.263 seconds of real time
% 0.54/0.72 0.233757 seconds of user run time
% 0.54/0.72 0.029211 seconds of system run time
% 0.54/0.72 [Run times include 0.009 seconds GC run time.]
% 0.54/0.72 0 calls to %EVAL
% 0.54/0.72 0 page faults and
% 0.54/0.72 21,003,712 bytes consed.
% 0.54/0.72 :PROOF-FOUND
% 0.54/0.72 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T06:50:33
% 0.54/0.72 :PROOF-FOUND
% 0.54/0.72 *
%------------------------------------------------------------------------------