TSTP Solution File: LDA007-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 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 : Sun Jul 17 16:45:49 EDT 2022
% Result : Unsatisfiable 0.13s 0.47s
% Output : Refutation 0.13s
% 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/sandbox/benchmark/Axioms/LDA001-0.ax',a1) ).
cnf(clause_1,axiom,
tt = f(t,t),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,axiom,
ts = f(t,s),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
tt_ts = f(tt,ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_7,axiom,
tk = f(t,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_9,axiom,
tsk = f(ts,k),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(prove_equation,negated_conjecture,
f(t,tsk) != f(tt_ts,tk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(43,plain,
f(X,tsk) = f(f(X,ts),f(X,k)),
inference('PARAMODULATE',[status(thm)],[a1,clause_9,theory(equality)]) ).
cnf(46,plain,
f(X,ts) = f(f(X,t),f(X,s)),
inference('PARAMODULATE',[status(thm)],[a1,clause_3,theory(equality)]) ).
cnf(206,plain,
f(t,ts) = tt_ts,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,clause_1,theory(equality)]),clause_4,clause_3,theory(equality)]) ).
cnf(214,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[43,206,theory(equality)]),prove_equation,clause_7,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : LDA007-1 : TPTP v8.1.0. Bugfixed v2.6.0.
% 0.08/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Mon May 30 03:33:22 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T03:33:22
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-05-30T03:33:22
% 0.13/0.47
% 0.13/0.47
% 0.13/0.47 #||
% 0.13/0.47 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.47 % SZS output start Refutation
% See solution above
% 0.13/0.47 ||#
% 0.13/0.47
% 0.13/0.47 ; Summary of computation:
% 0.13/0.47 ; 385 formulas have been input or derived (from 56 formulas).
% 0.13/0.47 ; 214 (56%) were retained. Of these,
% 0.13/0.47 ; 214 (100%) are still being kept.
% 0.13/0.47 ;
% 0.13/0.47 ; Run time in seconds excluding printing time:
% 0.13/0.47 ; 0.003 3% Read assertion file (1 call)
% 0.13/0.47 ; 0.001 1% Assert (20 calls)
% 0.13/0.47 ; 0.023 27% Process new row (363 calls)
% 0.13/0.47 ; 0.004 5% Resolution (110 calls)
% 0.13/0.47 ; 0.004 5% Paramodulation (55 calls)
% 0.13/0.47 ; 0.000 0% Factoring (3 calls)
% 0.13/0.47 ; 0.002 2% Condensing (79 calls)
% 0.13/0.47 ; 0.002 2% Forward subsumption (79 calls)
% 0.13/0.47 ; 0.000 0% Backward subsumption (53 calls)
% 0.13/0.47 ; 0.000 0% Clause clause subsumption (97 calls)
% 0.13/0.47 ; 0.015 17% Forward simplification (363 calls)
% 0.13/0.47 ; 0.004 5% Backward simplification (214 calls)
% 0.13/0.47 ; 0.007 8% Ordering (1,237 calls)
% 0.13/0.47 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.47 ; 0.000 0% Purity testing (1 call)
% 0.13/0.47 ; 0.021 24% Other
% 0.13/0.47 ; 0.086 Total
% 0.13/0.47 ; 0.088 Real time
% 0.13/0.47 ;
% 0.13/0.47 ; Term-hash-array has 632 terms in all.
% 0.13/0.47 ; Feature-vector-row-index has 53 entries (53 at peak, 53 added, 0 deleted).
% 0.13/0.47 ; Feature-vector-row-index has 365 nodes (365 at peak, 365 added, 0 deleted).
% 0.13/0.47 ; Retrieved 177 possibly forward subsuming rows in 79 calls.
% 0.13/0.47 ; Retrieved 0 possibly backward subsumed rows in 53 calls.
% 0.13/0.47 ; Path-index has 644 entries (644 at peak, 644 added, 0 deleted).
% 0.13/0.47 ; Path-index has 562 nodes (562 at peak, 562 added, 0 deleted).
% 0.13/0.47 ; Trie-index has 644 entries (644 at peak, 644 added, 0 deleted).
% 0.13/0.47 ; Trie-index has 2,238 nodes (2,238 at peak, 2,238 added, 0 deleted).
% 0.13/0.47 ; Retrieved 942 generalization terms in 1,888 calls.
% 0.13/0.47 ; Retrieved 227 instance terms in 192 calls.
% 0.13/0.47 ; Retrieved 1,794 unifiable terms in 438 calls.
% 0.13/0.47 ;
% 0.13/0.47 ; The agenda of rows to process has 4 entries:
% 0.13/0.47 ; 4 with value 17
% 0.13/0.47 ; The agenda of rows to give has 158 entries:
% 0.13/0.47 ; 1 with value (4 13) 27 with value (4 19) 26 with value (4 25)
% 0.13/0.47 ; 1 with value (4 14) 7 with value (4 20) 9 with value (4 26)
% 0.13/0.47 ; 39 with value (4 15) 2 with value (4 21) 1 with value (4 27)
% 0.13/0.47 ; 6 with value (4 16) 1 with value (4 22) 5 with value (4 28)
% 0.13/0.47 ; 5 with value (4 17) 11 with value (4 23) 3 with value (4 29)
% 0.13/0.47 ; 5 with value (4 18) 9 with value (4 24)
% 0.13/0.47 Evaluation took:
% 0.13/0.47 0.088 seconds of real time
% 0.13/0.47 0.08217 seconds of user run time
% 0.13/0.47 0.005948 seconds of system run time
% 0.13/0.47 0 calls to %EVAL
% 0.13/0.47 0 page faults and
% 0.13/0.47 5,163,408 bytes consed.
% 0.13/0.47 :PROOF-FOUND
% 0.13/0.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T03:33:23
% 0.13/0.47 :PROOF-FOUND
% 0.13/0.47 *
%------------------------------------------------------------------------------