TSTP Solution File: SET024-4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET024-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:06:01 EDT 2022
% Result : Unsatisfiable 54.55s 54.73s
% Output : Refutation 54.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 2 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 5 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(non_ordered_pair2,axiom,
( member(X,non_ordered_pair(Y,Z))
| ~ little_set(X)
| X != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',non_ordered_pair2) ).
cnf(singleton_set,axiom,
singleton_set(X) = non_ordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',singleton_set) ).
cnf(a_little_set,hypothesis,
little_set(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_little_set) ).
cnf(prove_membership_of_singleton_set,negated_conjecture,
~ member(a,singleton_set(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_membership_of_singleton_set) ).
cnf(356,plain,
member(a,non_ordered_pair(a,X)),
inference('HYPERRESOLVE',[status(thm)],[non_ordered_pair2,a_little_set,theory(equality)]) ).
cnf(10219,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[356,singleton_set,theory(equality)]),prove_membership_of_singleton_set]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET024-4 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.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 : 600
% 0.13/0.34 % DateTime : Sat Jul 9 20:19:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:19:20
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-09T20:19:20
% 54.55/54.73
% 54.55/54.73
% 54.55/54.73 #||
% 54.55/54.73 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 54.55/54.73 % SZS output start Refutation
% See solution above
% 54.55/54.73 ||#
% 54.55/54.73
% 54.55/54.73 ; Summary of computation:
% 54.55/54.73 ; 48643 formulas have been input or derived (from 193 formulas).
% 54.55/54.73 ; 10219 (21%) were retained. Of these,
% 54.55/54.73 ; 81 ( 1%) were simplified or subsumed later,
% 54.55/54.73 ; 10138 (99%) are still being kept.
% 54.55/54.73 ;
% 54.55/54.73 ; Run time in seconds:
% 54.55/54.73 ; 0.026 0% Read assertion file (1 call)
% 54.55/54.73 ; 0.004 0% Assert (143 calls)
% 54.55/54.73 ; 1.069 2% Process new row (39,990 calls)
% 54.55/54.73 ; 50.291 93% Resolution (384 calls)
% 54.55/54.73 ; 0.008 0% Paramodulation (192 calls)
% 54.55/54.73 ; 0.000 0% Factoring (13 calls)
% 54.55/54.73 ; 0.195 0% Condensing (23,845 calls)
% 54.55/54.73 ; 1.442 3% Forward subsumption (23,845 calls)
% 54.55/54.73 ; 0.228 0% Backward subsumption (5,144 calls)
% 54.55/54.73 ; 0.108 0% Clause clause subsumption (27,647 calls)
% 54.55/54.73 ; 0.611 1% Forward simplification (36,942 calls)
% 54.55/54.73 ; 0.087 0% Backward simplification (10,193 calls)
% 54.55/54.73 ; 0.024 0% Ordering (13,283 calls)
% 54.55/54.73 ; 0.000 0% Sortal reasoning (32 calls)
% 54.55/54.73 ; 0.000 0% Purity testing (1 call)
% 54.55/54.73 ; 0.158 0% Other
% 54.55/54.73 ; 54.251 Total
% 54.55/54.73 ; 54.253 Real time
% 54.55/54.73 ;
% 54.55/54.73 ; Term-hash-array has 18,681 terms in all.
% 54.55/54.73 ; Feature-vector-row-index has 5,141 entries (5,141 at peak, 5,144 added, 3 deleted).
% 54.55/54.73 ; Feature-vector-row-index has 34,026 nodes (34,026 at peak, 34,034 added, 8 deleted).
% 54.55/54.73 ; Retrieved 54,729 possibly forward subsuming rows in 23,845 calls.
% 54.55/54.73 ; Retrieved 2,528 possibly backward subsumed rows in 5,144 calls.
% 54.55/54.73 ; Path-index has 18,626 entries (18,631 at peak, 18,688 added, 62 deleted).
% 54.55/54.73 ; Path-index has 16,495 nodes (16,500 at peak, 16,554 added, 59 deleted).
% 54.55/54.73 ; Trie-index has 18,626 entries (18,631 at peak, 18,688 added, 62 deleted).
% 54.55/54.73 ; Trie-index has 63,776 nodes (63,784 at peak, 63,857 added, 81 deleted).
% 54.55/54.73 ; Retrieved 58,701 generalization terms in 109,266 calls.
% 54.55/54.73 ; Retrieved 5,055 instance terms in 5,048 calls.
% 54.55/54.73 ; Retrieved 79,944,090 unifiable terms in 727,871 calls.
% 54.55/54.73 ;
% 54.55/54.73 ; The agenda of rows to process has 141 entries:
% 54.55/54.73 ; 3 with value 9 21 with value 15 14 with value 21
% 54.55/54.73 ; 4 with value 10 21 with value 16 16 with value 22
% 54.55/54.73 ; 5 with value 11 2 with value 17 2 with value 23
% 54.55/54.73 ; 4 with value 12 7 with value 18 2 with value 24
% 54.55/54.73 ; 4 with value 13 18 with value 20 2 with value 26
% 54.55/54.73 ; 16 with value 14
% 54.55/54.73 ; The agenda of rows to give has 9955 entries:
% 54.55/54.73 ; 36 with value (4 8) 832 with value (4 27) 43 with value (4 46)
% 54.55/54.73 ; 47 with value (4 9) 1166 with value (4 28) 27 with value (4 47)
% 54.55/54.73 ; 36 with value (4 10) 749 with value (4 29) 2 with value (4 48)
% 54.55/54.73 ; 55 with value (4 11) 739 with value (4 30) 12 with value (4 49)
% 54.55/54.73 ; 35 with value (4 12) 417 with value (4 31) 6 with value (4 50)
% 54.55/54.73 ; 62 with value (4 13) 416 with value (4 32) 2 with value (4 51)
% 54.55/54.73 ; 125 with value (4 14) 292 with value (4 33) 8 with value (4 53)
% 54.55/54.73 ; 139 with value (4 15) 343 with value (4 34) 9 with value (4 56)
% 54.55/54.73 ; 97 with value (4 16) 283 with value (4 35) 2 with value (4 57)
% 54.55/54.73 ; 107 with value (4 17) 296 with value (4 36) 2 with value (4 58)
% 54.55/54.73 ; 150 with value (4 18) 164 with value (4 37) 2 with value (4 59)
% 54.55/54.73 ; 106 with value (4 19) 186 with value (4 38) 9 with value (4 61)
% 54.55/54.73 ; 157 with value (4 20) 88 with value (4 39) 4 with value (4 62)
% 54.55/54.73 ; 166 with value (4 21) 102 with value (4 40) 4 with value (4 65)
% 54.55/54.73 ; 161 with value (4 22) 116 with value (4 41) 4 with value (4 74)
% 54.55/54.73 ; 301 with value (4 23) 105 with value (4 42) 2 with value (4 88)
% 54.55/54.73 ; 344 with value (4 24) 61 with value (4 43) 4 with value (4 94)
% 54.55/54.73 ; 459 with value (4 25) 22 with value (4 44) 4 with value (4 105)
% 54.55/54.73 ; 811 with value (4 26) 38 with value (4 45)
% 54.55/54.73 Evaluation took:
% 54.55/54.73 54.257 seconds of real time
% 54.55/54.73 53.78781 seconds of user run time
% 54.55/54.73 0.467438 seconds of system run time
% 54.55/54.73 [Run times include 1.369 seconds GC run time.]
% 54.55/54.73 0 calls to %EVAL
% 54.55/54.73 0 page faults and
% 54.55/54.73 1,902,695,744 bytes consed.
% 54.55/54.73 :PROOF-FOUND
% 54.55/54.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-09T20:20:15
% 54.55/54.73 :PROOF-FOUND
% 54.55/54.73 *
%------------------------------------------------------------------------------