TSTP Solution File: GRP175-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP175-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 11:37:19 EDT 2022
% Result : Unsatisfiable 60.59s 60.81s
% Output : Refutation 60.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 4 RR)
% Number of literals : 12 ( 11 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(monotony_glb1,axiom,
multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
cnf(monotony_glb2,axiom,
multiply(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
cnf(p06c_1,hypothesis,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p06c_1) ).
cnf(prove_p06c,negated_conjecture,
greatest_lower_bound(identity,multiply(inverse(a),multiply(b,a))) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p06c) ).
cnf(29,plain,
greatest_lower_bound(identity,b) = identity,
inference('PARAMODULATE',[status(thm)],[glb_absorbtion,p06c_1,theory(equality)]) ).
cnf(99,plain,
X = greatest_lower_bound(X,multiply(b,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_glb2,29,theory(equality)]),left_identity,theory(equality)]) ).
cnf(151,plain,
multiply(X,Y) = greatest_lower_bound(multiply(X,Y),multiply(X,multiply(b,Y))),
inference('PARAMODULATE',[status(thm)],[monotony_glb1,99,theory(equality)]) ).
cnf(7282,plain,
identity = greatest_lower_bound(identity,multiply(inverse(X),multiply(b,X))),
inference('PARAMODULATE',[status(thm)],[151,left_inverse,theory(equality)]) ).
cnf(7284,plain,
$false,
inference('REWRITE',[status(thm)],[prove_p06c,7282,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : GRP175-3 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 14 05:53:33 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 *
% 0.21/0.51 *
% 0.21/0.51 #<PACKAGE "SNARK-USER">
% 0.21/0.51 *
% 0.21/0.51 SNARK-TPTP-OPTIONS
% 0.21/0.51 *
% 0.21/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.51 (USE-FACTORING :POS)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.51 *
% 0.21/0.51 "."
% 0.21/0.51 *
% 0.21/0.51 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:53:33
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-14T05:53:33
% 0.21/0.53
% 0.21/0.53 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.21/0.53 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.21/0.53 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.21/0.53 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.21/0.53 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.21/0.53 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.21/0.53 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.21/0.53 ; Declaring greatest_lower_bound to be commutative.
% 0.21/0.53 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.21/0.53 ; Declaring least_upper_bound to be commutative.
% 60.59/60.81 ; Declaring least_upper_bound to be associative-commutative.
% 60.59/60.81
% 60.59/60.81 #||
% 60.59/60.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.59/60.81 % SZS output start Refutation
% See solution above
% 60.59/60.81 ||#
% 60.59/60.81
% 60.59/60.81 ; Summary of computation:
% 60.59/60.81 ; 37265 formulas have been input or derived (from 182 formulas).
% 60.59/60.81 ; 7284 (20%) were retained. Of these,
% 60.59/60.81 ; 381 ( 5%) were simplified or subsumed later,
% 60.59/60.81 ; 6903 (95%) are still being kept.
% 60.59/60.81 ;
% 60.59/60.81 ; Run time in seconds excluding printing time:
% 60.59/60.81 ; 0.004 0% Read assertion file (1 call)
% 60.59/60.81 ; 0.001 0% Assert (17 calls)
% 60.59/60.81 ; 1.581 3% Process new row (36,430 calls)
% 60.59/60.81 ; 0.029 0% Resolution (362 calls)
% 60.59/60.81 ; 0.711 1% Paramodulation (181 calls)
% 60.59/60.81 ; 0.081 0% Embedding (3,462 calls)
% 60.59/60.81 ; 54.516 90% Forward simplification (32,897 calls)
% 60.59/60.81 ; 2.280 4% Backward simplification (3,826 calls)
% 60.59/60.81 ; 0.574 1% Ordering (165,008 calls)
% 60.59/60.81 ; 0.335 1% Ordering ac (25,111 calls)
% 60.59/60.81 ; 0.000 0% Sortal reasoning (32 calls)
% 60.59/60.81 ; 0.000 0% Purity testing (1 call)
% 60.59/60.81 ; 0.174 0% Other
% 60.59/60.81 ; 60.286 Total
% 60.59/60.81 ; 60.295 Real time
% 60.59/60.81 ;
% 60.59/60.81 ; Term-hash-array has 19,950 terms in all.
% 60.59/60.81 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 60.59/60.81 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 60.59/60.81 ; Path-index has 19,071 entries (19,075 at peak, 20,034 added, 963 deleted).
% 60.59/60.81 ; Path-index has 2,770 nodes (2,779 at peak, 2,824 added, 54 deleted).
% 60.59/60.81 ; Trie-index has 19,071 entries (19,075 at peak, 20,034 added, 963 deleted).
% 60.59/60.81 ; Trie-index has 4,556 nodes (4,563 at peak, 4,767 added, 211 deleted).
% 60.59/60.81 ; Retrieved 148,864,055 generalization terms in 442,027 calls.
% 60.59/60.81 ; Retrieved 139,335 instance terms in 4,537 calls.
% 60.59/60.81 ; Retrieved 218,785 unifiable terms in 1,048 calls.
% 60.59/60.81 ;
% 60.59/60.81 ; The agenda of rows to process has 68 entries:
% 60.59/60.81 ; 2 with value 18 1 with value 25 3 with value 31
% 60.59/60.81 ; 2 with value 19 2 with value 26 3 with value 32
% 60.59/60.81 ; 6 with value 21 2 with value 27 9 with value 34
% 60.59/60.81 ; 1 with value 22 15 with value 28 9 with value 35
% 60.59/60.81 ; 3 with value 23 5 with value 29 1 with value 36
% 60.59/60.81 ; 1 with value 24 2 with value 30 1 with value 37
% 60.59/60.81 ; The agenda of rows to give has 6725 entries:
% 60.59/60.81 ; 2 with value (4 18) 188 with value (4 37) 56 with value (4 54)
% 60.59/60.81 ; 48 with value (4 20) 308 with value (4 38) 46 with value (4 55)
% 60.59/60.81 ; 74 with value (4 21) 208 with value (4 39) 32 with value (4 56)
% 60.59/60.81 ; 110 with value (4 22) 154 with value (4 40) 32 with value (4 57)
% 60.59/60.81 ; 176 with value (4 23) 174 with value (4 41) 24 with value (4 58)
% 60.59/60.81 ; 141 with value (4 24) 174 with value (4 42) 24 with value (4 59)
% 60.59/60.81 ; 261 with value (4 25) 164 with value (4 43) 4 with value (4 60)
% 60.59/60.81 ; 241 with value (4 26) 142 with value (4 44) 26 with value (4 61)
% 60.59/60.81 ; 298 with value (4 27) 130 with value (4 45) 2 with value (4 62)
% 60.59/60.81 ; 319 with value (4 28) 102 with value (4 46) 8 with value (4 63)
% 60.59/60.81 ; 303 with value (4 29) 116 with value (4 47) 12 with value (4 64)
% 60.59/60.81 ; 362 with value (4 30) 80 with value (4 48) 6 with value (4 65)
% 60.59/60.81 ; 394 with value (4 31) 84 with value (4 49) 8 with value (4 66)
% 60.59/60.81 ; 278 with value (4 32) 64 with value (4 50) 4 with value (4 67)
% 60.59/60.81 ; 312 with value (4 33) 44 with value (4 51) 4 with value (4 69)
% 60.59/60.81 ; 322 with value (4 34) 44 with value (4 52) 8 with value (4 70)
% 60.59/60.81 ; 270 with value (4 35) 56 with value (4 53) 4 with value (4 71)
% 60.59/60.81 ; 282 with value (4 36)
% 60.59/60.81 Evaluation took:
% 60.59/60.81 60.296 seconds of real time
% 60.59/60.81 59.719418 seconds of user run time
% 60.59/60.81 0.568852 seconds of system run time
% 60.59/60.81 [Run times include 1.479 seconds GC run time.]
% 60.59/60.81 0 calls to %EVAL
% 60.59/60.81 0 page faults and
% 60.59/60.81 2,870,752,728 bytes consed.
% 60.59/60.81 :PROOF-FOUND
% 60.59/60.81 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T05:54:34
% 60.59/60.81 :PROOF-FOUND
% 60.59/60.81 *
%------------------------------------------------------------------------------