TSTP Solution File: SET838-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 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 05:12:37 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 11 ( 10 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
( X = v_x
| v_f(v_g(X)) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_g(v_f(v_xa(X))) = v_xa(X)
| v_g(v_f(X)) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( v_xa(X) != X
| v_g(v_f(X)) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(5,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_3,cls_conjecture_0,theory(equality)]),theory(equality)]) ).
cnf(6,plain,
v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_2,cls_conjecture_0,theory(equality)]),theory(equality)]) ).
cnf(9,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,6,theory(equality)]),theory(equality)]) ).
cnf(10,plain,
$false,
inference('REWRITE',[status(thm)],[6,5,9,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.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 11 10:06:40 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 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:06:40
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T10:06:40
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 #||
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 ||#
% 0.20/0.50
% 0.20/0.50 ; Summary of computation:
% 0.20/0.50 ; 18 formulas have been input or derived (from 7 formulas).
% 0.20/0.50 ; 10 (56%) were retained. Of these,
% 0.20/0.50 ; 1 (10%) were simplified or subsumed later,
% 0.20/0.50 ; 9 (90%) are still being kept.
% 0.20/0.50 ;
% 0.20/0.50 ; Run time in seconds excluding printing time:
% 0.20/0.50 ; 0.001 4% Read assertion file (1 call)
% 0.20/0.50 ; 0.000 0% Assert (4 calls)
% 0.20/0.50 ; 0.001 4% Process new row (15 calls)
% 0.20/0.50 ; 0.001 4% Resolution (12 calls)
% 0.20/0.50 ; 0.000 0% Paramodulation (6 calls)
% 0.20/0.50 ; 0.000 0% Condensing (3 calls)
% 0.20/0.50 ; 0.000 0% Forward subsumption (3 calls)
% 0.20/0.50 ; 0.000 0% Backward subsumption (3 calls)
% 0.20/0.50 ; 0.001 4% Forward simplification (15 calls)
% 0.20/0.50 ; 0.000 0% Backward simplification (10 calls)
% 0.20/0.50 ; 0.000 0% Ordering (23 calls)
% 0.20/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.50 ; 0.000 0% Purity testing (1 call)
% 0.20/0.50 ; 0.021 84% Other
% 0.20/0.50 ; 0.025 Total
% 0.20/0.50 ; 0.028 Real time
% 0.20/0.50 ;
% 0.20/0.50 ; Term-hash-array has 26 terms in all.
% 0.20/0.50 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.20/0.50 ; Feature-vector-row-index has 21 nodes (21 at peak, 21 added, 0 deleted).
% 0.20/0.50 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.20/0.50 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 0.20/0.50 ; Path-index has 25 entries (27 at peak, 27 added, 2 deleted).
% 0.20/0.50 ; Path-index has 59 nodes (61 at peak, 61 added, 2 deleted).
% 0.20/0.50 ; Trie-index has 25 entries (27 at peak, 27 added, 2 deleted).
% 0.20/0.50 ; Trie-index has 72 nodes (79 at peak, 79 added, 7 deleted).
% 0.20/0.50 ; Retrieved 2 generalization terms in 19 calls.
% 0.20/0.50 ; Retrieved 6 instance terms in 6 calls.
% 0.20/0.50 ; Retrieved 61 unifiable terms in 39 calls.
% 0.20/0.50 ;
% 0.20/0.50 ; The agenda of rows to process has 1 entry:
% 0.20/0.50 ; 1 with value 29
% 0.20/0.50 ; The agenda of rows to give has 3 entries:
% 0.20/0.50 ; 1 with value (4 12) 1 with value (4 14) 1 with value (4 19)
% 0.20/0.50 Evaluation took:
% 0.20/0.50 0.028 seconds of real time
% 0.20/0.50 0.018891 seconds of user run time
% 0.20/0.50 0.008919 seconds of system run time
% 0.20/0.50 0 calls to %EVAL
% 0.20/0.50 0 page faults and
% 0.20/0.50 1,752,056 bytes consed.
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T10:06:40
% 0.20/0.50 :PROOF-FOUND
% 0.20/0.50 *
%------------------------------------------------------------------------------