TSTP Solution File: CAT019-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT019-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 : Fri Jul 15 00:07:11 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 6 unt; 2 nHn; 10 RR)
% Number of literals : 22 ( 11 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_and_equality_implies_equivalence1,axiom,
( ~ there_exists(X)
| X != Y
| equivalent(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',existence_and_equality_implies_equivalence1) ).
cnf(equivalence_implies_existence3,axiom,
( ~ equivalent(X,Y)
| there_exists(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',equivalence_implies_existence3) ).
cnf(indiscernibles1,axiom,
( there_exists(f1(X,Y))
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',indiscernibles1) ).
cnf(indiscernibles2,axiom,
( X = f1(X,Y)
| Y = f1(X,Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',indiscernibles2) ).
cnf(equality_of_a_and_b1,hypothesis,
( ~ there_exists(X)
| a != X
| b = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_of_a_and_b1) ).
cnf(equality_of_a_and_b2,hypothesis,
( ~ there_exists(X)
| a = X
| b != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equality_of_a_and_b2) ).
cnf(prove_a_equals_b,negated_conjecture,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_b) ).
cnf(22,plain,
there_exists(f1(a,b)),
inference('UR-RESOLVE',[status(thm)],[indiscernibles1,prove_a_equals_b]) ).
cnf(29,plain,
~ there_exists(a),
inference('UR-RESOLVE',[status(thm)],[equality_of_a_and_b1,prove_a_equals_b,theory(equality)]) ).
cnf(59,plain,
~ equivalent(X,a),
inference('UR-RESOLVE',[status(thm)],[equivalence_implies_existence3,29]) ).
cnf(66,plain,
f1(a,b) != a,
inference('UR-RESOLVE',[status(thm)],[existence_and_equality_implies_equivalence1,22,59]) ).
cnf(69,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[equality_of_a_and_b2,22,indiscernibles2]),prove_a_equals_b,66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : CAT019-3 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 19:53:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T19:53:04
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-29T19:53:04
% 0.19/0.47
% 0.19/0.50 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 112 formulas have been input or derived (from 27 formulas).
% 0.19/0.50 ; 69 (62%) were retained. Of these,
% 0.19/0.50 ; 2 ( 3%) were simplified or subsumed later,
% 0.19/0.50 ; 67 (97%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.004 10% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 2% Assert (20 calls)
% 0.19/0.50 ; 0.008 19% Process new row (95 calls)
% 0.19/0.50 ; 0.001 2% Resolution (52 calls)
% 0.19/0.50 ; 0.002 5% Paramodulation (26 calls)
% 0.19/0.50 ; 0.000 0% Factoring (2 calls)
% 0.19/0.50 ; 0.000 0% Condensing (42 calls)
% 0.19/0.50 ; 0.001 2% Forward subsumption (42 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (38 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (52 calls)
% 0.19/0.50 ; 0.002 5% Forward simplification (95 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (69 calls)
% 0.19/0.50 ; 0.002 5% Ordering (210 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 50% Other
% 0.19/0.50 ; 0.042 Total
% 0.19/0.50 ; 0.045 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 117 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 38 entries (38 at peak, 38 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 94 nodes (94 at peak, 94 added, 0 deleted).
% 0.19/0.50 ; Retrieved 43 possibly forward subsuming rows in 42 calls.
% 0.19/0.50 ; Retrieved 9 possibly backward subsumed rows in 38 calls.
% 0.19/0.50 ; Path-index has 117 entries (117 at peak, 119 added, 2 deleted).
% 0.19/0.50 ; Path-index has 260 nodes (260 at peak, 262 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 117 entries (117 at peak, 119 added, 2 deleted).
% 0.19/0.50 ; Trie-index has 301 nodes (301 at peak, 304 added, 3 deleted).
% 0.19/0.50 ; Retrieved 68 generalization terms in 199 calls.
% 0.19/0.50 ; Retrieved 45 instance terms in 42 calls.
% 0.19/0.50 ; Retrieved 877 unifiable terms in 171 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 9 entries:
% 0.19/0.50 ; 2 with value 16 1 with value 20 2 with value 31
% 0.19/0.50 ; 4 with value 18
% 0.19/0.50 ; The agenda of rows to give has 40 entries:
% 0.19/0.50 ; 5 with value (4 7) 2 with value (4 13) 6 with value (4 19)
% 0.19/0.50 ; 2 with value (4 9) 3 with value (4 14) 7 with value (4 20)
% 0.19/0.50 ; 2 with value (4 10) 6 with value (4 15) 2 with value (4 34)
% 0.19/0.50 ; 3 with value (4 11) 2 with value (4 18)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.045 seconds of real time
% 0.19/0.50 0.039016 seconds of user run time
% 0.19/0.50 0.005907 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,550,832 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T19:53:04
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
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