TSTP Solution File: LDA007-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 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 : Sun Jul 17 16:45:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 10 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a1,axiom,
f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
cnf(clause_1,axiom,
tt = f(t,t),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,axiom,
ts = f(t,s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_7,axiom,
tk = f(t,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_9,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(prove_equation,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(38,plain,
f(X,tsk) = f(f(X,ts),f(X,k)),
inference('PARAMODULATE',[status(thm)],[a1,clause_9,theory(equality)]) ).
cnf(41,plain,
f(X,ts) = f(f(X,t),f(X,s)),
inference('PARAMODULATE',[status(thm)],[a1,clause_3,theory(equality)]) ).
cnf(193,plain,
f(t,ts) = tt_ts,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[41,clause_1,theory(equality)]),clause_4,clause_3,theory(equality)]) ).
cnf(201,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,193,theory(equality)]),prove_equation,clause_7,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LDA007-2 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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 : 600
% 0.12/0.33 % DateTime : Mon May 30 04:47:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-30T04:47:12
% 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 2022-05-30T04:47:12
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 327 formulas have been input or derived (from 54 formulas).
% 0.19/0.55 ; 201 (61%) were retained. Of these,
% 0.19/0.55 ; 3 ( 1%) were simplified or subsumed later,
% 0.19/0.55 ; 198 (99%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.003 3% Read assertion file (1 call)
% 0.19/0.55 ; 0.000 0% Assert (20 calls)
% 0.19/0.55 ; 0.023 24% Process new row (313 calls)
% 0.19/0.55 ; 0.004 4% Resolution (106 calls)
% 0.19/0.55 ; 0.007 7% Paramodulation (53 calls)
% 0.19/0.55 ; 0.000 0% Factoring (4 calls)
% 0.19/0.55 ; 0.000 0% Condensing (44 calls)
% 0.19/0.55 ; 0.003 3% Forward subsumption (44 calls)
% 0.19/0.55 ; 0.000 0% Backward subsumption (44 calls)
% 0.19/0.55 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.19/0.55 ; 0.014 15% Forward simplification (313 calls)
% 0.19/0.55 ; 0.007 7% Backward simplification (201 calls)
% 0.19/0.55 ; 0.009 9% Ordering (1,170 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.000 0% Purity testing (1 call)
% 0.19/0.55 ; 0.025 26% Other
% 0.19/0.55 ; 0.095 Total
% 0.19/0.55 ; 0.097 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 615 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 44 entries (44 at peak, 44 added, 0 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 364 nodes (364 at peak, 364 added, 0 deleted).
% 0.19/0.55 ; Retrieved 34 possibly forward subsuming rows in 44 calls.
% 0.19/0.55 ; Retrieved 0 possibly backward subsumed rows in 44 calls.
% 0.19/0.55 ; Path-index has 621 entries (621 at peak, 627 added, 6 deleted).
% 0.19/0.56 ; Path-index has 558 nodes (558 at peak, 561 added, 3 deleted).
% 0.19/0.56 ; Trie-index has 621 entries (621 at peak, 627 added, 6 deleted).
% 0.19/0.56 ; Trie-index has 2,234 nodes (2,234 at peak, 2,250 added, 16 deleted).
% 0.19/0.56 ; Retrieved 806 generalization terms in 1,665 calls.
% 0.19/0.56 ; Retrieved 226 instance terms in 188 calls.
% 0.19/0.56 ; Retrieved 938 unifiable terms in 346 calls.
% 0.19/0.56 ;
% 0.19/0.56 ; The agenda of rows to process has 4 entries:
% 0.19/0.56 ; 4 with value 17
% 0.19/0.56 ; The agenda of rows to give has 145 entries:
% 0.19/0.56 ; 1 with value (4 13) 4 with value (4 18) 10 with value (4 24)
% 0.19/0.56 ; 1 with value (4 14) 24 with value (4 19) 22 with value (4 25)
% 0.19/0.56 ; 36 with value (4 15) 8 with value (4 20) 4 with value (4 26)
% 0.19/0.56 ; 14 with value (4 16) 7 with value (4 21) 2 with value (4 29)
% 0.19/0.56 ; 3 with value (4 17) 8 with value (4 23) 1 with value (4 30)
% 0.19/0.56 Evaluation took:
% 0.19/0.56 0.097 seconds of real time
% 0.19/0.56 0.08272 seconds of user run time
% 0.19/0.56 0.014097 seconds of system run time
% 0.19/0.56 0 calls to %EVAL
% 0.19/0.56 0 page faults and
% 0.19/0.56 4,577,624 bytes consed.
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T04:47:12
% 0.19/0.56 :PROOF-FOUND
% 0.19/0.56 *
%------------------------------------------------------------------------------