TSTP Solution File: SET047-5 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:06:27 EDT 2022
% Result : Unsatisfiable 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of clauses : 23 ( 7 unt; 12 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 9 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(element_substitution1,axiom,
( ~ set_equal(X,Y)
| ~ element(Z,X)
| element(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution1) ).
cnf(element_substitution2,axiom,
( ~ set_equal(X,Y)
| ~ element(Z,Y)
| element(Z,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_substitution2) ).
cnf(clause_3,axiom,
( element(f(X,Y),X)
| element(f(X,Y),Y)
| set_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
( ~ element(f(X,Y),Y)
| ~ element(f(X,Y),X)
| set_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(prove_symmetry1,negated_conjecture,
( set_equal(a,b)
| set_equal(b,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry1) ).
cnf(prove_symmetry2,negated_conjecture,
( ~ set_equal(b,a)
| ~ set_equal(a,b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_symmetry2) ).
cnf(8,plain,
( element(f(a,b),a)
| element(f(a,b),b)
| element(f(b,a),b)
| element(f(b,a),a) ),
inference('HYPERRESOLVE',[status(thm)],[prove_symmetry2,clause_3,clause_3]) ).
cnf(11,plain,
( element(f(a,b),a)
| element(f(b,a),b)
| element(f(b,a),a) ),
inference('CONDENSE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[element_substitution1,8,clause_3])]) ).
cnf(12,plain,
( element(f(a,b),a)
| element(f(b,a),a)
| set_equal(a,b) ),
inference('HYPERRESOLVE',[status(thm)],[element_substitution1,11,prove_symmetry1]) ).
cnf(16,plain,
( element(f(a,b),a)
| element(f(b,a),a) ),
inference('HYPERRESOLVE',[status(thm)],[element_substitution2,12,11]) ).
cnf(17,plain,
( element(f(b,a),a)
| set_equal(b,a)
| element(f(a,b),b) ),
inference('HYPERRESOLVE',[status(thm)],[element_substitution1,16,prove_symmetry1]) ).
cnf(25,plain,
( element(f(b,a),a)
| element(f(a,b),b) ),
inference('HYPERRESOLVE',[status(thm)],[element_substitution2,17,16]) ).
cnf(26,plain,
( element(f(b,a),a)
| set_equal(a,b) ),
inference('HYPERRESOLVE',[status(thm)],[clause_4,25,16]) ).
cnf(29,plain,
( element(f(b,a),a)
| element(f(b,a),b) ),
inference('HYPERRESOLVE',[status(thm)],[prove_symmetry2,26,clause_3]) ).
cnf(30,plain,
element(f(b,a),a),
inference('HYPERRESOLVE',[status(thm)],[element_substitution2,29,26]) ).
cnf(31,plain,
( set_equal(b,a)
| element(f(b,a),b) ),
inference('HYPERRESOLVE',[status(thm)],[element_substitution1,30,prove_symmetry1]) ).
cnf(35,plain,
element(f(b,a),b),
inference('HYPERRESOLVE',[status(thm)],[element_substitution2,31,30]) ).
cnf(36,plain,
set_equal(b,a),
inference('HYPERRESOLVE',[status(thm)],[clause_4,35,30]) ).
cnf(37,plain,
~ set_equal(a,b),
inference('REWRITE',[status(thm)],[prove_symmetry2,36]) ).
cnf(40,plain,
( element(f(a,b),a)
| element(f(a,b),b) ),
inference('HYPERRESOLVE',[status(thm)],[37,clause_3]) ).
cnf(43,plain,
element(f(a,b),a),
inference('HYPERRESOLVE',[status(thm)],[element_substitution1,36,40]) ).
cnf(44,plain,
element(f(a,b),b),
inference('HYPERRESOLVE',[status(thm)],[element_substitution2,43,36]) ).
cnf(45,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[clause_4,43,37]),44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SET047-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.37 % Computer : n017.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jul 10 00:03:47 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.22/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.52 *
% 0.22/0.52 *
% 0.22/0.52 #<PACKAGE "SNARK-USER">
% 0.22/0.52 *
% 0.22/0.52 SNARK-TPTP-OPTIONS
% 0.22/0.52 *
% 0.22/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.52 (USE-FACTORING :POS)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:03:47
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T00:03:47
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 #||
% 0.22/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.57 % SZS output start Refutation
% See solution above
% 0.22/0.57 ||#
% 0.22/0.57
% 0.22/0.57 ; Summary of computation:
% 0.22/0.57 ; 104 formulas have been input or derived (from 23 formulas).
% 0.22/0.57 ; 45 (43%) were retained. Of these,
% 0.22/0.57 ; 29 (64%) were simplified or subsumed later,
% 0.22/0.57 ; 16 (36%) are still being kept.
% 0.22/0.57 ;
% 0.22/0.57 ; Run time in seconds excluding printing time:
% 0.22/0.57 ; 0.002 5% Read assertion file (1 call)
% 0.22/0.57 ; 0.000 0% Assert (6 calls)
% 0.22/0.57 ; 0.002 5% Process new row (85 calls)
% 0.22/0.57 ; 0.005 11% Resolution (44 calls)
% 0.22/0.57 ; 0.000 0% Paramodulation (22 calls)
% 0.22/0.57 ; 0.000 0% Factoring (13 calls)
% 0.22/0.57 ; 0.000 0% Condensing (54 calls)
% 0.22/0.57 ; 0.001 2% Forward subsumption (54 calls)
% 0.22/0.57 ; 0.005 11% Backward subsumption (38 calls)
% 0.22/0.57 ; 0.001 2% Clause clause subsumption (116 calls)
% 0.22/0.57 ; 0.002 5% Forward simplification (67 calls)
% 0.22/0.57 ; 0.001 2% Backward simplification (45 calls)
% 0.22/0.57 ; 0.000 0% Ordering (269 calls)
% 0.22/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.22/0.57 ; 0.000 0% Purity testing (1 call)
% 0.22/0.57 ; 0.025 57% Other
% 0.22/0.57 ; 0.044 Total
% 0.22/0.57 ; 0.046 Real time
% 0.22/0.57 ;
% 0.22/0.57 ; Term-hash-array has 31 terms in all.
% 0.22/0.57 ; Feature-vector-row-index has 9 entries (19 at peak, 38 added, 29 deleted).
% 0.22/0.57 ; Feature-vector-row-index has 28 nodes (80 at peak, 173 added, 145 deleted).
% 0.22/0.57 ; Retrieved 85 possibly forward subsuming rows in 54 calls.
% 0.22/0.57 ; Retrieved 47 possibly backward subsumed rows in 38 calls.
% 0.22/0.57 ; Path-index has 32 entries (33 at peak, 66 added, 34 deleted).
% 0.22/0.57 ; Path-index has 37 nodes (37 at peak, 51 added, 14 deleted).
% 0.22/0.57 ; Trie-index has 32 entries (33 at peak, 66 added, 34 deleted).
% 0.22/0.57 ; Trie-index has 49 nodes (50 at peak, 97 added, 48 deleted).
% 0.22/0.57 ; Retrieved 7 generalization terms in 40 calls.
% 0.22/0.57 ; Retrieved 6 instance terms in 6 calls.
% 0.22/0.57 ; Retrieved 728 unifiable terms in 205 calls.
% 0.22/0.57 ;
% 0.22/0.57 ; The agenda of rows to process has 4 entries:
% 0.22/0.57 ; 1 with value 21 1 with value 28 2 with value 35
% 0.22/0.57 ; The agenda of rows to give has 5 entries:
% 0.22/0.57 ; 1 with value (4 21) 2 with value (4 31) 2 with value (4 33)
% 0.22/0.57 Evaluation took:
% 0.22/0.57 0.048 seconds of real time
% 0.22/0.57 0.039477 seconds of user run time
% 0.22/0.57 0.007777 seconds of system run time
% 0.22/0.57 0 calls to %EVAL
% 0.22/0.57 0 page faults and
% 0.22/0.57 3,713,120 bytes consed.
% 0.22/0.57 :PROOF-FOUND
% 0.22/0.57 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T00:03:47
% 0.22/0.57 :PROOF-FOUND
% 0.22/0.57 *
%------------------------------------------------------------------------------