TSTP Solution File: GRP141-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 11:37:06 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 7 unt; 0 nHn; 6 RR)
% Number of literals : 7 ( 6 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 2 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(ax_glb1d_1,hypothesis,
least_upper_bound(a,c) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1d_1) ).
cnf(ax_glb1d_2,hypothesis,
least_upper_bound(b,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_glb1d_2) ).
cnf(prove_ax_glb1d,negated_conjecture,
greatest_lower_bound(a,greatest_lower_bound(b,c)) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_glb1d) ).
cnf(35,plain,
greatest_lower_bound(c,b) = c,
inference('PARAMODULATE',[status(thm)],[glb_absorbtion,ax_glb1d_2,theory(equality)]) ).
cnf(37,plain,
greatest_lower_bound(a,c) != c,
inference('REWRITE',[status(thm)],[prove_ax_glb1d,35,theory(equality)]) ).
cnf(38,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[glb_absorbtion,ax_glb1d_1,theory(equality)]),37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP141-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.15 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n021.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 : Tue Jun 14 02:02:12 EDT 2022
% 0.15/0.37 % 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 2022-06-14T02:02:12
% 0.21/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-14T02:02:12
% 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.
% 0.21/0.57 ; Declaring least_upper_bound to be associative-commutative.
% 0.21/0.57
% 0.21/0.57 #||
% 0.21/0.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.57 % SZS output start Refutation
% See solution above
% 0.21/0.57 ||#
% 0.21/0.57
% 0.21/0.57 ; Summary of computation:
% 0.21/0.57 ; 236 formulas have been input or derived (from 15 formulas).
% 0.21/0.57 ; 38 (16%) were retained. Of these,
% 0.21/0.57 ; 1 ( 3%) were simplified or subsumed later,
% 0.21/0.57 ; 37 (97%) are still being kept.
% 0.21/0.57 ;
% 0.21/0.57 ; Run time in seconds:
% 0.21/0.57 ; 0.004 7% Read assertion file (1 call)
% 0.21/0.57 ; 0.001 2% Assert (18 calls)
% 0.21/0.57 ; 0.001 2% Process new row (158 calls)
% 0.21/0.57 ; 0.002 4% Resolution (28 calls)
% 0.21/0.57 ; 0.009 17% Paramodulation (14 calls)
% 0.21/0.57 ; 0.003 6% Embedding (18 calls)
% 0.21/0.57 ; 0.009 17% Forward simplification (144 calls)
% 0.21/0.57 ; 0.001 2% Backward simplification (24 calls)
% 0.21/0.57 ; 0.000 0% Ordering (157 calls)
% 0.21/0.57 ; 0.000 0% Ordering ac (62 calls)
% 0.21/0.57 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.57 ; 0.000 0% Purity testing (1 call)
% 0.21/0.57 ; 0.024 44% Other
% 0.21/0.57 ; 0.054 Total
% 0.21/0.57 ; 0.056 Real time
% 0.21/0.57 ;
% 0.21/0.57 ; Term-hash-array has 114 terms in all.
% 0.21/0.57 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.21/0.57 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.21/0.57 ; Path-index has 116 entries (116 at peak, 118 added, 2 deleted).
% 0.21/0.57 ; Path-index has 134 nodes (134 at peak, 136 added, 2 deleted).
% 0.21/0.57 ; Trie-index has 116 entries (116 at peak, 118 added, 2 deleted).
% 0.21/0.57 ; Trie-index has 72 nodes (72 at peak, 72 added, 0 deleted).
% 0.21/0.57 ; Retrieved 2,743 generalization terms in 695 calls.
% 0.21/0.57 ; Retrieved 28 instance terms in 25 calls.
% 0.21/0.57 ; Retrieved 207 unifiable terms in 67 calls.
% 0.21/0.57 ;
% 0.21/0.57 ; The agenda of rows to process has 71 entries:
% 0.21/0.57 ; 2 with value 8 9 with value 17 3 with value 25
% 0.21/0.57 ; 2 with value 10 3 with value 19 1 with value 26
% 0.21/0.57 ; 13 with value 11 2 with value 20 3 with value 27
% 0.21/0.57 ; 2 with value 12 6 with value 21 1 with value 29
% 0.21/0.57 ; 6 with value 13 2 with value 22 1 with value 31
% 0.21/0.57 ; 11 with value 15 2 with value 23 1 with value 33
% 0.21/0.57 ; 1 with value 16
% 0.21/0.57 ; The agenda of input rows to give has 7 entries:
% 0.21/0.57 ; 1 with value 7 1 with value 14 4 with value 16
% 0.21/0.57 ; 1 with value 10
% 0.21/0.57 ; The agenda of rows to give has 16 entries:
% 0.21/0.57 ; 2 with value (4 8) 4 with value (4 18) 2 with value (4 24)
% 0.21/0.57 ; 4 with value (4 11) 2 with value (4 21) 2 with value (4 30)
% 0.21/0.57 Evaluation took:
% 0.21/0.57 0.056 seconds of real time
% 0.21/0.57 0.04911 seconds of user run time
% 0.21/0.57 0.006937 seconds of system run time
% 0.21/0.57 0 calls to %EVAL
% 0.21/0.57 0 page faults and
% 0.21/0.57 2,849,776 bytes consed.
% 0.21/0.57 :PROOF-FOUND
% 0.21/0.57 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T02:02:12
% 0.21/0.57 :PROOF-FOUND
% 0.21/0.57 *
%------------------------------------------------------------------------------