TSTP Solution File: GRP190-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:37:28 EDT 2022
% Result : Unsatisfiable 1.53s 1.70s
% Output : Refutation 1.53s
% 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(p39a_1,hypothesis,
least_upper_bound(a,b) = a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p39a_1) ).
cnf(prove_p39a,negated_conjecture,
least_upper_bound(inverse(a),inverse(b)) != inverse(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p39a) ).
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(75,plain,
multiply(X,a) = least_upper_bound(multiply(X,a),multiply(X,b)),
inference('PARAMODULATE',[status(thm)],[monotony_lub1,p39a_1,theory(equality)]) ).
cnf(130,plain,
X = multiply(inverse(inverse(X)),identity),
inference('PARAMODULATE',[status(thm)],[68,left_inverse,theory(equality)]) ).
cnf(131,plain,
multiply(X,Y) = multiply(inverse(inverse(X)),Y),
inference('PARAMODULATE',[status(thm)],[68,68,theory(equality)]) ).
cnf(132,plain,
X = multiply(X,identity),
inference('REWRITE',[status(thm)],[130,131,theory(equality)]) ).
cnf(133,plain,
multiply(multiply(X,inverse(Y)),Y) = X,
inference('REWRITE',[status(thm)],[69,132,theory(equality)]) ).
cnf(141,plain,
X = inverse(inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[133,left_inverse,theory(equality)]),left_identity,theory(equality)]) ).
cnf(148,plain,
multiply(multiply(X,Y),inverse(Y)) = X,
inference('PARAMODULATE',[status(thm)],[133,141,theory(equality)]) ).
cnf(180,plain,
identity = least_upper_bound(identity,multiply(inverse(a),b)),
inference('PARAMODULATE',[status(thm)],[75,left_inverse,theory(equality)]) ).
cnf(198,plain,
X = least_upper_bound(X,multiply(multiply(inverse(a),b),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_lub2,180,theory(equality)]),left_identity,theory(equality)]) ).
cnf(806,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[198,148,theory(equality)]),prove_p39a]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP190-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n027.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 : Mon Jun 13 13:09:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-13T13:09:32
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T13:09:32
% 0.19/0.48
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.48 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.48 ; Declaring least_upper_bound to be commutative.
% 1.53/1.70 ; Declaring least_upper_bound to be associative-commutative.
% 1.53/1.70
% 1.53/1.70 #||
% 1.53/1.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.53/1.70 % SZS output start Refutation
% See solution above
% 1.53/1.70 ||#
% 1.53/1.70
% 1.53/1.70 ; Summary of computation:
% 1.53/1.70 ; 4075 formulas have been input or derived (from 74 formulas).
% 1.53/1.70 ; 806 (20%) were retained. Of these,
% 1.53/1.70 ; 72 ( 9%) were simplified or subsumed later,
% 1.53/1.70 ; 734 (91%) are still being kept.
% 1.53/1.70 ;
% 1.53/1.70 ; Run time in seconds excluding printing time:
% 1.53/1.70 ; 0.003 0% Read assertion file (1 call)
% 1.53/1.70 ; 0.001 0% Assert (17 calls)
% 1.53/1.70 ; 0.078 6% Process new row (3,932 calls)
% 1.53/1.70 ; 0.001 0% Resolution (146 calls)
% 1.53/1.70 ; 0.097 8% Paramodulation (73 calls)
% 1.53/1.70 ; 0.012 1% Embedding (383 calls)
% 1.53/1.70 ; 0.955 78% Forward simplification (3,485 calls)
% 1.53/1.70 ; 0.022 2% Backward simplification (427 calls)
% 1.53/1.70 ; 0.017 1% Ordering (6,204 calls)
% 1.53/1.70 ; 0.010 1% Ordering ac (1,412 calls)
% 1.53/1.70 ; 0.001 0% Sortal reasoning (32 calls)
% 1.53/1.70 ; 0.000 0% Purity testing (1 call)
% 1.53/1.70 ; 0.035 3% Other
% 1.53/1.70 ; 1.232 Total
% 1.53/1.70 ; 1.234 Real time
% 1.53/1.70 ;
% 1.53/1.70 ; Term-hash-array has 2,352 terms in all.
% 1.53/1.70 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 1.53/1.70 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 1.53/1.70 ; Path-index has 2,174 entries (2,174 at peak, 2,365 added, 191 deleted).
% 1.53/1.70 ; Path-index has 936 nodes (936 at peak, 982 added, 46 deleted).
% 1.53/1.70 ; Trie-index has 2,174 entries (2,174 at peak, 2,365 added, 191 deleted).
% 1.53/1.70 ; Trie-index has 616 nodes (631 at peak, 755 added, 139 deleted).
% 1.53/1.70 ; Retrieved 1,677,821 generalization terms in 36,191 calls.
% 1.53/1.70 ; Retrieved 2,320 instance terms in 457 calls.
% 1.53/1.70 ; Retrieved 13,336 unifiable terms in 425 calls.
% 1.53/1.70 ;
% 1.53/1.70 ; The agenda of rows to process has 55 entries:
% 1.53/1.70 ; 1 with value 16 3 with value 29 1 with value 38
% 1.53/1.70 ; 2 with value 18 4 with value 30 5 with value 39
% 1.53/1.70 ; 1 with value 20 2 with value 31 1 with value 40
% 1.53/1.70 ; 2 with value 22 1 with value 32 1 with value 41
% 1.53/1.70 ; 2 with value 23 10 with value 33 1 with value 43
% 1.53/1.70 ; 2 with value 24 3 with value 35 1 with value 44
% 1.53/1.70 ; 5 with value 26 1 with value 36 1 with value 45
% 1.53/1.70 ; 3 with value 27 2 with value 37
% 1.53/1.70 ; The agenda of rows to give has 667 entries:
% 1.53/1.70 ; 14 with value (4 18) 44 with value (4 28) 16 with value (4 38)
% 1.53/1.70 ; 20 with value (4 19) 30 with value (4 29) 12 with value (4 39)
% 1.53/1.70 ; 26 with value (4 20) 32 with value (4 30) 4 with value (4 40)
% 1.53/1.70 ; 24 with value (4 21) 34 with value (4 31) 2 with value (4 41)
% 1.53/1.70 ; 27 with value (4 22) 30 with value (4 32) 6 with value (4 42)
% 1.53/1.70 ; 41 with value (4 23) 28 with value (4 33) 2 with value (4 43)
% 1.53/1.70 ; 68 with value (4 24) 18 with value (4 34) 6 with value (4 44)
% 1.53/1.70 ; 54 with value (4 25) 8 with value (4 35) 2 with value (4 45)
% 1.53/1.70 ; 41 with value (4 26) 14 with value (4 36) 2 with value (4 49)
% 1.53/1.70 ; 50 with value (4 27) 12 with value (4 37)
% 1.53/1.70 Evaluation took:
% 1.53/1.70 1.234 seconds of real time
% 1.53/1.70 1.192359 seconds of user run time
% 1.53/1.70 0.041822 seconds of system run time
% 1.53/1.70 [Run times include 0.037 seconds GC run time.]
% 1.53/1.70 0 calls to %EVAL
% 1.53/1.70 0 page faults and
% 1.53/1.70 79,179,568 bytes consed.
% 1.53/1.70 :PROOF-FOUND
% 1.53/1.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T13:09:33
% 1.53/1.70 :PROOF-FOUND
% 1.53/1.70 *
%------------------------------------------------------------------------------