TSTP Solution File: GRP169-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP169-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Sat Jul 16 11:37:15 EDT 2022
% Result : Unsatisfiable 0.84s 0.99s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 4 RR)
% Number of literals : 19 ( 18 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(associativity,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
cnf(monotony_lub1,axiom,
multiply(X,least_upper_bound(Y,Z)) = least_upper_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub1) ).
cnf(monotony_lub2,axiom,
multiply(least_upper_bound(X,Y),Z) = least_upper_bound(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-2.ax',monotony_lub2) ).
cnf(p02a_1,hypothesis,
least_upper_bound(inverse(a),inverse(b)) = inverse(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p02a_1) ).
cnf(prove_p02a,negated_conjecture,
least_upper_bound(a,b) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p02a) ).
cnf(68,plain,
X = multiply(inverse(Y),multiply(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(69,plain,
multiply(multiply(X,inverse(Y)),Y) = multiply(X,identity),
inference('PARAMODULATE',[status(thm)],[associativity,left_inverse,theory(equality)]) ).
cnf(89,plain,
multiply(inverse(b),X) = least_upper_bound(multiply(inverse(a),X),multiply(inverse(b),X)),
inference('PARAMODULATE',[status(thm)],[monotony_lub2,p02a_1,theory(equality)]) ).
cnf(110,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[68,left_inverse,theory(equality)]) ).
cnf(111,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[68,68,theory(equality)]) ).
cnf(112,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[110,111,theory(equality)]) ).
cnf(113,plain,
multiply(multiply(X,inverse(Y)),Y) = X,
inference('REWRITE',[status(thm)],[69,112,theory(equality)]) ).
cnf(121,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[113,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(129,plain,
X = multiply(Y,multiply(inverse(Y),X)),
inference('PARAMODULATE',[status(thm)],[68,121,theory(equality)]) ).
cnf(286,plain,
identity = least_upper_bound(multiply(inverse(a),b),identity),
inference('PARAMODULATE',[status(thm)],[89,left_inverse,theory(equality)]) ).
cnf(308,plain,
X = least_upper_bound(multiply(X,multiply(inverse(a),b)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_lub1,286,theory(equality)]),112,theory(equality)]) ).
cnf(392,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[308,129,theory(equality)]),prove_p02a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP169-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n018.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Mon Jun 13 15:34:57 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:34:58
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-13T15:34:58
% 0.22/0.52
% 0.22/0.52 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.22/0.52 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.22/0.52 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.22/0.52 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.22/0.52 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.22/0.52 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.22/0.52 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.22/0.52 ; Declaring greatest_lower_bound to be commutative.
% 0.22/0.52 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.22/0.52 ; Declaring least_upper_bound to be commutative.
% 0.84/0.99 ; Declaring least_upper_bound to be associative-commutative.
% 0.84/0.99
% 0.84/0.99 #||
% 0.84/0.99 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/0.99 % SZS output start Refutation
% See solution above
% 0.84/0.99 ||#
% 0.84/0.99
% 0.84/0.99 ; Summary of computation:
% 0.84/0.99 ; 2212 formulas have been input or derived (from 56 formulas).
% 0.84/0.99 ; 392 (18%) were retained. Of these,
% 0.84/0.99 ; 34 ( 9%) were simplified or subsumed later,
% 0.84/0.99 ; 358 (91%) are still being kept.
% 0.84/0.99 ;
% 0.84/0.99 ; Run time in seconds excluding printing time:
% 0.84/0.99 ; 0.004 1% Read assertion file (1 call)
% 0.84/0.99 ; 0.001 0% Assert (17 calls)
% 0.84/0.99 ; 0.045 9% Process new row (2,121 calls)
% 0.84/0.99 ; 0.004 1% Resolution (110 calls)
% 0.84/0.99 ; 0.047 10% Paramodulation (55 calls)
% 0.84/0.99 ; 0.007 1% Embedding (175 calls)
% 0.84/0.99 ; 0.308 63% Forward simplification (1,890 calls)
% 0.84/0.99 ; 0.010 2% Backward simplification (221 calls)
% 0.84/0.99 ; 0.026 5% Ordering (6,873 calls)
% 0.84/0.99 ; 0.005 1% Ordering ac (644 calls)
% 0.84/0.99 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/0.99 ; 0.000 0% Purity testing (1 call)
% 0.84/0.99 ; 0.033 7% Other
% 0.84/0.99 ; 0.490 Total
% 0.84/0.99 ; 0.491 Real time
% 0.84/0.99 ;
% 0.84/0.99 ; Term-hash-array has 1,174 terms in all.
% 0.84/0.99 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.84/0.99 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.84/0.99 ; Path-index has 1,093 entries (1,093 at peak, 1,185 added, 92 deleted).
% 0.84/0.99 ; Path-index has 859 nodes (859 at peak, 877 added, 18 deleted).
% 0.84/0.99 ; Trie-index has 1,093 entries (1,093 at peak, 1,185 added, 92 deleted).
% 0.84/0.99 ; Trie-index has 629 nodes (629 at peak, 749 added, 120 deleted).
% 0.84/0.99 ; Retrieved 377,590 generalization terms in 22,101 calls.
% 0.84/0.99 ; Retrieved 557 instance terms in 255 calls.
% 0.84/0.99 ; Retrieved 5,642 unifiable terms in 329 calls.
% 0.84/0.99 ;
% 0.84/0.99 ; The agenda of rows to process has 47 entries:
% 0.84/0.99 ; 1 with value 14 6 with value 26 3 with value 35
% 0.84/0.99 ; 1 with value 15 2 with value 27 1 with value 36
% 0.84/0.99 ; 2 with value 16 1 with value 28 1 with value 37
% 0.84/0.99 ; 1 with value 17 1 with value 29 2 with value 39
% 0.84/0.99 ; 1 with value 18 2 with value 30 1 with value 40
% 0.84/0.99 ; 1 with value 19 2 with value 31 2 with value 41
% 0.84/0.99 ; 1 with value 22 6 with value 33 1 with value 44
% 0.84/0.99 ; 1 with value 23 4 with value 34 1 with value 45
% 0.84/0.99 ; 2 with value 24
% 0.84/0.99 ; The agenda of rows to give has 305 entries:
% 0.84/0.99 ; 3 with value (4 18) 24 with value (4 25) 18 with value (4 31)
% 0.84/0.99 ; 3 with value (4 19) 25 with value (4 26) 10 with value (4 33)
% 0.84/0.99 ; 30 with value (4 20) 50 with value (4 27) 4 with value (4 34)
% 0.84/0.99 ; 14 with value (4 21) 16 with value (4 28) 6 with value (4 36)
% 0.84/0.99 ; 19 with value (4 22) 22 with value (4 29) 2 with value (4 39)
% 0.84/0.99 ; 19 with value (4 23) 10 with value (4 30) 2 with value (4 42)
% 0.84/0.99 ; 28 with value (4 24)
% 0.84/0.99 Evaluation took:
% 0.84/0.99 0.491 seconds of real time
% 0.84/0.99 0.465089 seconds of user run time
% 0.84/0.99 0.026684 seconds of system run time
% 0.84/0.99 [Run times include 0.01 seconds GC run time.]
% 0.84/0.99 0 calls to %EVAL
% 0.84/0.99 0 page faults and
% 0.84/0.99 27,267,688 bytes consed.
% 0.84/0.99 :PROOF-FOUND
% 0.84/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T15:34:58
% 0.84/0.99 :PROOF-FOUND
% 0.84/0.99 *
%------------------------------------------------------------------------------