%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 11:37:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% 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(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(ax_lub1d_1,hypothesis,
greatest_lower_bound(a,c) = a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1d_1) ).
cnf(ax_lub1d_2,hypothesis,
greatest_lower_bound(b,c) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_lub1d_2) ).
cnf(prove_ax_lub1d,negated_conjecture,
least_upper_bound(a,least_upper_bound(b,c)) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_lub1d) ).
cnf(21,plain,
least_upper_bound(c,b) = c,
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,ax_lub1d_2,theory(equality)]) ).
cnf(23,plain,
least_upper_bound(a,c) != c,
inference('REWRITE',[status(thm)],[prove_ax_lub1d,21,theory(equality)]) ).
cnf(24,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[lub_absorbtion,ax_lub1d_1,theory(equality)]),23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP149-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 13 23:42:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:42:41
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-13T23:42:41
% 0.20/0.49
% 0.20/0.49 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.20/0.49 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.20/0.49 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.20/0.49 ; Declaring greatest_lower_bound to be commutative.
% 0.20/0.49 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.20/0.49 ; Declaring least_upper_bound to be commutative.
% 0.20/0.51 ; Declaring least_upper_bound to be associative-commutative.
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 108 formulas have been input or derived (from 13 formulas).
% 0.20/0.51 ; 24 (22%) were retained. Of these,
% 0.20/0.51 ; 1 ( 4%) were simplified or subsumed later,
% 0.20/0.51 ; 23 (96%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds:
% 0.20/0.51 ; 0.004 11% Read assertion file (1 call)
% 0.20/0.51 ; 0.001 3% Assert (18 calls)
% 0.20/0.51 ; 0.001 3% Process new row (58 calls)
% 0.20/0.51 ; 0.000 0% Resolution (24 calls)
% 0.20/0.51 ; 0.003 8% Paramodulation (12 calls)
% 0.20/0.51 ; 0.000 0% Embedding (11 calls)
% 0.20/0.51 ; 0.002 6% Forward simplification (51 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (17 calls)
% 0.20/0.51 ; 0.001 3% Ordering (109 calls)
% 0.20/0.51 ; 0.000 0% Ordering ac (34 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 61% Other
% 0.20/0.51 ; 0.036 Total
% 0.20/0.51 ; 0.037 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 64 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Path-index has 66 entries (66 at peak, 68 added, 2 deleted).
% 0.20/0.51 ; Path-index has 113 nodes (113 at peak, 115 added, 2 deleted).
% 0.20/0.51 ; Trie-index has 66 entries (66 at peak, 68 added, 2 deleted).
% 0.20/0.51 ; Trie-index has 68 nodes (68 at peak, 68 added, 0 deleted).
% 0.20/0.51 ; Retrieved 245 generalization terms in 138 calls.
% 0.20/0.51 ; Retrieved 19 instance terms in 18 calls.
% 0.20/0.51 ; Retrieved 163 unifiable terms in 58 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 48 entries:
% 0.20/0.51 ; 1 with value 8 1 with value 16 2 with value 23
% 0.20/0.51 ; 2 with value 10 7 with value 17 1 with value 25
% 0.20/0.51 ; 9 with value 11 2 with value 19 2 with value 27
% 0.20/0.51 ; 4 with value 13 6 with value 21 1 with value 29
% 0.20/0.51 ; 9 with value 15 1 with value 22
% 0.20/0.51 ; The agenda of input rows to give has 9 entries:
% 0.20/0.51 ; 1 with value 7 1 with value 14 4 with value 16
% 0.20/0.51 ; 3 with value 10
% 0.20/0.51 ; The agenda of rows to give has 2 entries:
% 0.20/0.51 ; 2 with value (4 8)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.037 seconds of real time
% 0.20/0.51 0.030348 seconds of user run time
% 0.20/0.51 0.007049 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 1,920,424 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:42:42
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------