TSTP Solution File: GRP175-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 17.51s 17.69s
% Output : Refutation 17.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 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 : 15 ( 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(lub_absorbtion,axiom,
least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_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(p06d_1,hypothesis,
greatest_lower_bound(identity,b) = identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p06d_1) ).
cnf(prove_p06d,negated_conjecture,
least_upper_bound(identity,multiply(inverse(a),multiply(b,a))) != multiply(inverse(a),multiply(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p06d) ).
cnf(93,plain,
X = greatest_lower_bound(X,multiply(b,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_glb2,p06d_1,theory(equality)]),left_identity,theory(equality)]) ).
cnf(131,plain,
multiply(X,Y) = greatest_lower_bound(multiply(X,Y),multiply(X,multiply(b,Y))),
inference('PARAMODULATE',[status(thm)],[monotony_glb1,93,theory(equality)]) ).
cnf(3198,plain,
identity = greatest_lower_bound(identity,multiply(inverse(X),multiply(b,X))),
inference('PARAMODULATE',[status(thm)],[131,left_inverse,theory(equality)]) ).
cnf(3236,plain,
least_upper_bound(multiply(inverse(X),multiply(b,X)),identity) = multiply(inverse(X),multiply(b,X)),
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,3198,theory(equality)]) ).
cnf(3238,plain,
$false,
inference('REWRITE',[status(thm)],[prove_p06d,3236,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP175-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 13 05:04:41 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:04:41
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-13T05:04:41
% 0.19/0.49
% 0.19/0.49 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.49 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.49 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.49 ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.49 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.49 ; Declaring least_upper_bound to be commutative.
% 17.51/17.69 ; Declaring least_upper_bound to be associative-commutative.
% 17.51/17.69
% 17.51/17.69 #||
% 17.51/17.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.51/17.69 % SZS output start Refutation
% See solution above
% 17.51/17.69 ||#
% 17.51/17.69
% 17.51/17.69 ; Summary of computation:
% 17.51/17.69 ; 19611 formulas have been input or derived (from 140 formulas).
% 17.51/17.69 ; 3238 (17%) were retained. Of these,
% 17.51/17.69 ; 213 ( 7%) were simplified or subsumed later,
% 17.51/17.69 ; 3025 (93%) are still being kept.
% 17.51/17.69 ;
% 17.51/17.69 ; Run time in seconds excluding printing time:
% 17.51/17.69 ; 0.003 0% Read assertion file (1 call)
% 17.51/17.69 ; 0.001 0% Assert (17 calls)
% 17.51/17.69 ; 0.509 3% Process new row (19,117 calls)
% 17.51/17.69 ; 0.012 0% Resolution (278 calls)
% 17.51/17.69 ; 0.385 2% Paramodulation (139 calls)
% 17.51/17.69 ; 0.058 0% Embedding (1,598 calls)
% 17.51/17.69 ; 15.669 91% Forward simplification (17,448 calls)
% 17.51/17.69 ; 0.156 1% Backward simplification (1,644 calls)
% 17.51/17.69 ; 0.248 1% Ordering (73,510 calls)
% 17.51/17.69 ; 0.078 0% Ordering ac (8,370 calls)
% 17.51/17.69 ; 0.000 0% Sortal reasoning (32 calls)
% 17.51/17.69 ; 0.000 0% Purity testing (1 call)
% 17.51/17.69 ; 0.095 1% Other
% 17.51/17.69 ; 17.214 Total
% 17.51/17.69 ; 17.217 Real time
% 17.51/17.69 ;
% 17.51/17.69 ; Term-hash-array has 8,687 terms in all.
% 17.51/17.69 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 17.51/17.69 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 17.51/17.69 ; Path-index has 8,175 entries (8,177 at peak, 8,731 added, 556 deleted).
% 17.51/17.69 ; Path-index has 1,566 nodes (1,576 at peak, 1,610 added, 44 deleted).
% 17.51/17.69 ; Trie-index has 8,175 entries (8,177 at peak, 8,731 added, 556 deleted).
% 17.51/17.69 ; Trie-index has 937 nodes (947 at peak, 1,085 added, 148 deleted).
% 17.51/17.69 ; Retrieved 36,621,281 generalization terms in 224,456 calls.
% 17.51/17.69 ; Retrieved 14,902 instance terms in 1,678 calls.
% 17.51/17.69 ; Retrieved 94,822 unifiable terms in 783 calls.
% 17.51/17.69 ;
% 17.51/17.69 ; The agenda of rows to process has 8 entries:
% 17.51/17.69 ; 1 with value 23 4 with value 25 3 with value 28
% 17.51/17.69 ; The agenda of rows to give has 2889 entries:
% 17.51/17.69 ; 1 with value (4 17) 116 with value (4 34) 24 with value (4 51)
% 17.51/17.69 ; 2 with value (4 18) 118 with value (4 35) 10 with value (4 52)
% 17.51/17.69 ; 37 with value (4 19) 58 with value (4 36) 40 with value (4 53)
% 17.51/17.69 ; 58 with value (4 20) 68 with value (4 37) 20 with value (4 54)
% 17.51/17.69 ; 102 with value (4 21) 90 with value (4 38) 10 with value (4 55)
% 17.51/17.69 ; 115 with value (4 22) 62 with value (4 39) 18 with value (4 56)
% 17.51/17.69 ; 119 with value (4 23) 66 with value (4 40) 2 with value (4 57)
% 17.51/17.69 ; 138 with value (4 24) 54 with value (4 41) 10 with value (4 58)
% 17.51/17.69 ; 116 with value (4 25) 54 with value (4 42) 2 with value (4 59)
% 17.51/17.69 ; 187 with value (4 26) 60 with value (4 43) 6 with value (4 60)
% 17.51/17.69 ; 158 with value (4 27) 46 with value (4 44) 8 with value (4 63)
% 17.51/17.69 ; 156 with value (4 28) 40 with value (4 45) 4 with value (4 64)
% 17.51/17.69 ; 112 with value (4 29) 38 with value (4 46) 8 with value (4 65)
% 17.51/17.69 ; 118 with value (4 30) 18 with value (4 47) 4 with value (4 66)
% 17.51/17.69 ; 94 with value (4 31) 32 with value (4 48) 4 with value (4 68)
% 17.51/17.69 ; 126 with value (4 32) 6 with value (4 49) 4 with value (4 70)
% 17.51/17.69 ; 134 with value (4 33) 16 with value (4 50)
% 17.51/17.69 Evaluation took:
% 17.51/17.69 17.218 seconds of real time
% 17.51/17.69 16.988752 seconds of user run time
% 17.51/17.69 0.227123 seconds of system run time
% 17.51/17.69 [Run times include 0.418 seconds GC run time.]
% 17.51/17.69 0 calls to %EVAL
% 17.51/17.69 0 page faults and
% 17.51/17.69 959,213,776 bytes consed.
% 17.51/17.69 :PROOF-FOUND
% 17.51/17.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T05:04:58
% 17.51/17.69 :PROOF-FOUND
% 17.51/17.69 *
%------------------------------------------------------------------------------