TSTP Solution File: SET558-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET558-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:10:21 EDT 2022
% Result : Unsatisfiable 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 4 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(operation2,axiom,
( ~ operation(X)
| cross_product(domain_of(domain_of(X)),domain_of(domain_of(X))) = domain_of(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',operation2) ).
cnf(compatible2,axiom,
( ~ compatible(X,Y,Z)
| domain_of(domain_of(Y)) = domain_of(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',compatible2) ).
cnf(prove_compatible_functions_alternate_defn1_1,negated_conjecture,
operation(xf1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_1) ).
cnf(prove_compatible_functions_alternate_defn1_2,negated_conjecture,
compatible(xh,xf1,xf2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_2) ).
cnf(prove_compatible_functions_alternate_defn1_3,negated_conjecture,
cross_product(domain_of(xh),domain_of(xh)) != domain_of(xf1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatible_functions_alternate_defn1_3) ).
cnf(207,plain,
domain_of(domain_of(xf1)) = domain_of(xh),
inference('HYPERRESOLVE',[status(thm)],[compatible2,prove_compatible_functions_alternate_defn1_2]) ).
cnf(246,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[operation2,prove_compatible_functions_alternate_defn1_1]),prove_compatible_functions_alternate_defn1_3,207,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET558-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 19:42:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:42:31
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T19:42:31
% 0.39/0.60
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 390 formulas have been input or derived (from 88 formulas).
% 0.39/0.60 ; 246 (63%) were retained. Of these,
% 0.39/0.60 ; 17 ( 7%) were simplified or subsumed later,
% 0.39/0.60 ; 229 (93%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.022 20% Read assertion file (1 call)
% 0.39/0.60 ; 0.004 4% Assert (115 calls)
% 0.39/0.60 ; 0.020 18% Process new row (344 calls)
% 0.39/0.60 ; 0.012 11% Resolution (174 calls)
% 0.39/0.60 ; 0.004 4% Paramodulation (87 calls)
% 0.39/0.60 ; 0.000 0% Factoring (3 calls)
% 0.39/0.60 ; 0.003 3% Condensing (152 calls)
% 0.39/0.60 ; 0.005 5% Forward subsumption (152 calls)
% 0.39/0.60 ; 0.005 5% Backward subsumption (137 calls)
% 0.39/0.60 ; 0.000 0% Clause clause subsumption (79 calls)
% 0.39/0.60 ; 0.003 3% Forward simplification (344 calls)
% 0.39/0.60 ; 0.002 2% Backward simplification (231 calls)
% 0.39/0.60 ; 0.003 3% Ordering (263 calls)
% 0.39/0.60 ; 0.001 1% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.026 24% Other
% 0.39/0.60 ; 0.110 Total
% 0.39/0.60 ; 0.111 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 596 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 137 entries (137 at peak, 137 added, 0 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 713 nodes (713 at peak, 713 added, 0 deleted).
% 0.39/0.60 ; Retrieved 84 possibly forward subsuming rows in 152 calls.
% 0.39/0.60 ; Retrieved 16 possibly backward subsumed rows in 137 calls.
% 0.39/0.60 ; Path-index has 609 entries (609 at peak, 613 added, 4 deleted).
% 0.39/0.60 ; Path-index has 2,183 nodes (2,183 at peak, 2,188 added, 5 deleted).
% 0.39/0.60 ; Trie-index has 609 entries (609 at peak, 613 added, 4 deleted).
% 0.39/0.60 ; Trie-index has 2,027 nodes (2,027 at peak, 2,034 added, 7 deleted).
% 0.39/0.60 ; Retrieved 273 generalization terms in 903 calls.
% 0.39/0.60 ; Retrieved 117 instance terms in 93 calls.
% 0.39/0.60 ; Retrieved 4,352 unifiable terms in 597 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of input rows to give has 27 entries:
% 0.39/0.60 ; 2 with value 17 4 with value 22 1 with value 31
% 0.39/0.60 ; 2 with value 18 1 with value 24 1 with value 33
% 0.39/0.60 ; 1 with value 19 1 with value 26 1 with value 34
% 0.39/0.60 ; 4 with value 20 1 with value 27 2 with value 35
% 0.39/0.60 ; 3 with value 21 2 with value 30 1 with value 50
% 0.39/0.60 ; The agenda of rows to give has 114 entries:
% 0.39/0.60 ; 2 with value (4 4) 13 with value (4 13) 2 with value (4 21)
% 0.39/0.60 ; 2 with value (4 5) 7 with value (4 14) 2 with value (4 22)
% 0.39/0.60 ; 4 with value (4 7) 8 with value (4 15) 1 with value (4 23)
% 0.39/0.60 ; 7 with value (4 8) 10 with value (4 16) 4 with value (4 24)
% 0.39/0.60 ; 3 with value (4 9) 5 with value (4 17) 2 with value (4 26)
% 0.39/0.60 ; 8 with value (4 10) 6 with value (4 18) 2 with value (4 28)
% 0.39/0.60 ; 6 with value (4 11) 7 with value (4 19) 2 with value (4 29)
% 0.39/0.60 ; 4 with value (4 12) 4 with value (4 20) 3 with value (4 30)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.112 seconds of real time
% 0.39/0.60 0.100185 seconds of user run time
% 0.39/0.60 0.012046 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 5,364,072 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T19:42:31
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------