TSTP Solution File: LCL133-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 14:20:27 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 10 ( 10 unt; 0 nHn; 2 RR)
% Number of literals : 10 ( 9 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(wajsberg_1,axiom,
implies(truth,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).
cnf(wajsberg_3,axiom,
implies(implies(X,Y),Y) = implies(implies(X,Y),X),
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).
cnf(wajsberg_4,axiom,
implies(implies(not(X),not(Y)),implies(X,Y)) = truth,
file('/export/starexec/sandbox/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).
cnf(prove_wajsberg_lemma,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
cnf(6,plain,
implies(X,X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_3,wajsberg_1,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(9,plain,
implies(X,Y) = implies(not(X),not(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[wajsberg_3,wajsberg_4,theory(equality)]),wajsberg_1,theory(equality)]) ).
cnf(10,plain,
implies(X,Y) = truth,
inference('REWRITE',[status(thm)],[wajsberg_4,6,9,theory(equality)]) ).
cnf(11,plain,
truth = X,
inference('REWRITE',[status(thm)],[6,10,theory(equality)]) ).
cnf(14,plain,
X = Y,
inference('PARAMODULATE',[status(thm)],[11,11,theory(equality)]) ).
cnf(15,plain,
$false,
inference('REWRITE',[status(thm)],[prove_wajsberg_lemma,14,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL133-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 : Mon Jul 4 11:18:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:18:40
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-04T11:18:40
% 0.19/0.49
% 0.19/0.49 ; Recognized left identity assertion (= (|implies| |truth| ?X) ?X).
% 0.19/0.49 ; Recognized commutativity assertion (= (|implies| ?X ?Y) (|implies| ?Y ?X)).
% 0.19/0.50 WARNING: Cannot use equality or equivalence (= truth ?X) as rewrite.
% 0.19/0.51 ; Declaring implies to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 46 formulas have been input or derived (from 7 formulas).
% 0.19/0.51 ; 15 (33%) were retained. Of these,
% 0.19/0.51 ; 13 (87%) were simplified or subsumed later,
% 0.19/0.51 ; 2 (13%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.51 ; 0.000 0% Assert (6 calls)
% 0.19/0.51 ; 0.002 7% Process new row (42 calls)
% 0.19/0.51 ; 0.000 0% Resolution (12 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (6 calls)
% 0.19/0.51 ; 0.003 10% Forward simplification (37 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (15 calls)
% 0.19/0.51 ; 0.001 3% Ordering (93 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 73% Other
% 0.19/0.51 ; 0.030 Total
% 0.19/0.51 ; 0.032 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 35 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.51 ; Path-index has 1 entry (30 at peak, 39 added, 38 deleted).
% 0.19/0.51 ; Path-index has 14 nodes (37 at peak, 46 added, 32 deleted).
% 0.19/0.51 ; Trie-index has 1 entry (30 at peak, 39 added, 38 deleted).
% 0.19/0.51 ; Trie-index has 4 nodes (105 at peak, 132 added, 128 deleted).
% 0.19/0.51 ; Retrieved 110 generalization terms in 99 calls.
% 0.19/0.51 ; Retrieved 52 instance terms in 18 calls.
% 0.19/0.51 ; Retrieved 58 unifiable terms in 34 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 1 entry:
% 0.19/0.51 ; 1 with value 11
% 0.19/0.51 ; The agenda of rows to give has 1 entry:
% 0.19/0.51 ; 1 with value (4 6)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.032 seconds of real time
% 0.19/0.51 0.023429 seconds of user run time
% 0.19/0.51 0.008371 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 1,915,472 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T11:18:40
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------