TSTP Solution File: SET563-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 05:10:23 EDT 2022
% Result : Unsatisfiable 0.37s 0.58s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 13 ( 3 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 10 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(range_of,axiom,
domain_of(inverse(X)) = range_of(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',range_of) ).
cnf(compatible2,axiom,
( ~ compatible(X,Y,Z)
| domain_of(domain_of(Y)) = domain_of(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',compatible2) ).
cnf(compatible3,axiom,
( ~ compatible(X,Y,Z)
| subclass(range_of(X),domain_of(domain_of(Z))) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',compatible3) ).
cnf(94,plain,
( ~ compatible(X,Y,Z)
| subclass(domain_of(inverse(X)),domain_of(domain_of(Z))) ),
inference('REWRITE',[status(thm)],[compatible3,range_of,theory(equality)]) ).
cnf(prove_compatible_function_property3_1,negated_conjecture,
compatible(xh1,xf1,xf2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_1) ).
cnf(prove_compatible_function_property3_2,negated_conjecture,
compatible(xh2,xf2,xf3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_2) ).
cnf(prove_compatible_function_property3_3,negated_conjecture,
~ subclass(range_of(xh1),domain_of(xh2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_compatible_function_property3_3) ).
cnf(130,plain,
~ subclass(domain_of(inverse(xh1)),domain_of(xh2)),
inference('REWRITE',[status(thm)],[prove_compatible_function_property3_3,range_of,theory(equality)]) ).
cnf(209,plain,
domain_of(domain_of(xf2)) = domain_of(xh2),
inference('HYPERRESOLVE',[status(thm)],[compatible2,prove_compatible_function_property3_2]) ).
cnf(230,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[94,prove_compatible_function_property3_1]),130,209,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET563-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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 04:48:02 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 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 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 2022-07-11T04:48:02
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-11T04:48:02
% 0.37/0.58
% 0.37/0.58
% 0.37/0.58 #||
% 0.37/0.58 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.58 % SZS output start Refutation
% See solution above
% 0.37/0.58 ||#
% 0.37/0.58
% 0.37/0.58 ; Summary of computation:
% 0.37/0.58 ; 350 formulas have been input or derived (from 79 formulas).
% 0.37/0.58 ; 230 (66%) were retained. Of these,
% 0.37/0.58 ; 17 ( 7%) were simplified or subsumed later,
% 0.37/0.58 ; 213 (93%) are still being kept.
% 0.37/0.58 ;
% 0.37/0.58 ; Run time in seconds excluding printing time:
% 0.37/0.58 ; 0.022 23% Read assertion file (1 call)
% 0.37/0.58 ; 0.003 3% Assert (115 calls)
% 0.37/0.58 ; 0.017 18% Process new row (308 calls)
% 0.37/0.58 ; 0.009 9% Resolution (156 calls)
% 0.37/0.58 ; 0.000 0% Paramodulation (78 calls)
% 0.37/0.58 ; 0.000 0% Factoring (3 calls)
% 0.37/0.58 ; 0.002 2% Condensing (144 calls)
% 0.37/0.58 ; 0.006 6% Forward subsumption (144 calls)
% 0.37/0.58 ; 0.002 2% Backward subsumption (129 calls)
% 0.37/0.58 ; 0.000 0% Clause clause subsumption (75 calls)
% 0.37/0.58 ; 0.006 6% Forward simplification (308 calls)
% 0.37/0.58 ; 0.002 2% Backward simplification (214 calls)
% 0.37/0.58 ; 0.001 1% Ordering (207 calls)
% 0.37/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.37/0.58 ; 0.000 0% Purity testing (1 call)
% 0.37/0.58 ; 0.026 27% Other
% 0.37/0.58 ; 0.096 Total
% 0.37/0.58 ; 0.097 Real time
% 0.37/0.58 ;
% 0.37/0.58 ; Term-hash-array has 545 terms in all.
% 0.37/0.58 ; Feature-vector-row-index has 129 entries (129 at peak, 129 added, 0 deleted).
% 0.37/0.58 ; Feature-vector-row-index has 667 nodes (667 at peak, 667 added, 0 deleted).
% 0.37/0.58 ; Retrieved 82 possibly forward subsuming rows in 144 calls.
% 0.37/0.58 ; Retrieved 14 possibly backward subsumed rows in 129 calls.
% 0.37/0.58 ; Path-index has 561 entries (561 at peak, 562 added, 1 deleted).
% 0.37/0.58 ; Path-index has 1,904 nodes (1,904 at peak, 1,905 added, 1 deleted).
% 0.37/0.58 ; Trie-index has 561 entries (561 at peak, 562 added, 1 deleted).
% 0.37/0.58 ; Trie-index has 1,761 nodes (1,761 at peak, 1,762 added, 1 deleted).
% 0.37/0.58 ; Retrieved 218 generalization terms in 800 calls.
% 0.37/0.58 ; Retrieved 109 instance terms in 84 calls.
% 0.37/0.58 ; Retrieved 3,249 unifiable terms in 521 calls.
% 0.37/0.58 ;
% 0.37/0.58 ; The agenda of rows to process has 2 entries:
% 0.37/0.58 ; 2 with value 11
% 0.37/0.58 ; The agenda of input rows to give has 36 entries:
% 0.37/0.58 ; 3 with value 15 3 with value 21 1 with value 31
% 0.37/0.58 ; 3 with value 16 4 with value 22 1 with value 33
% 0.37/0.58 ; 5 with value 17 1 with value 24 1 with value 34
% 0.37/0.58 ; 2 with value 18 1 with value 26 2 with value 35
% 0.37/0.58 ; 1 with value 19 1 with value 27 1 with value 50
% 0.37/0.58 ; 4 with value 20 2 with value 30
% 0.37/0.58 ; The agenda of rows to give has 98 entries:
% 0.37/0.58 ; 2 with value (4 4) 9 with value (4 13) 1 with value (4 21)
% 0.37/0.58 ; 2 with value (4 5) 6 with value (4 14) 2 with value (4 22)
% 0.37/0.58 ; 4 with value (4 7) 8 with value (4 15) 1 with value (4 23)
% 0.37/0.58 ; 8 with value (4 8) 8 with value (4 16) 3 with value (4 24)
% 0.37/0.58 ; 3 with value (4 9) 4 with value (4 17) 1 with value (4 26)
% 0.37/0.58 ; 8 with value (4 10) 3 with value (4 18) 2 with value (4 28)
% 0.37/0.58 ; 6 with value (4 11) 7 with value (4 19) 1 with value (4 29)
% 0.37/0.58 ; 3 with value (4 12) 4 with value (4 20) 2 with value (4 30)
% 0.37/0.58 Evaluation took:
% 0.37/0.58 0.098 seconds of real time
% 0.37/0.58 0.085724 seconds of user run time
% 0.37/0.58 0.011885 seconds of system run time
% 0.37/0.58 0 calls to %EVAL
% 0.37/0.58 0 page faults and
% 0.37/0.58 5,244,728 bytes consed.
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T04:48:02
% 0.37/0.58 :PROOF-FOUND
% 0.37/0.58 *
%------------------------------------------------------------------------------