TSTP Solution File: SET072-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET072-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : Tue Jul 19 05:06:53 EDT 2022
% Result : Unsatisfiable 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 4
% Syntax : Number of clauses : 5 ( 4 unt; 0 nHn; 5 RR)
% Number of literals : 7 ( 4 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_cancellation,axiom,
( unordered_pair(X,Y) != unordered_pair(X,Z)
| ~ member(ordered_pair(Y,Z),cross_product(universal_class,universal_class))
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
cnf(prove_right_cancellation_1,negated_conjecture,
unordered_pair(x,z) = unordered_pair(y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_1) ).
cnf(prove_right_cancellation_2,negated_conjecture,
member(ordered_pair(x,y),cross_product(universal_class,universal_class)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_2) ).
cnf(prove_right_cancellation_3,negated_conjecture,
x != y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_right_cancellation_3) ).
cnf(475,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[left_cancellation,prove_right_cancellation_1,prove_right_cancellation_2,prove_right_cancellation_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET072-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 18:24:35 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T18:24:36
% 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 2022-07-10T18:24:36
% 0.20/0.52
% 0.20/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.49/0.66 ; Declaring unordered_pair to be commutative.
% 0.49/0.66
% 0.49/0.66 #||
% 0.49/0.66 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation
% See solution above
% 0.49/0.66 ||#
% 0.49/0.66
% 0.49/0.66 ; Summary of computation:
% 0.49/0.66 ; 1029 formulas have been input or derived (from 105 formulas).
% 0.49/0.66 ; 475 (46%) were retained. Of these,
% 0.49/0.66 ; 15 ( 3%) were simplified or subsumed later,
% 0.49/0.66 ; 460 (97%) are still being kept.
% 0.49/0.66 ;
% 0.49/0.66 ; Run time in seconds excluding printing time:
% 0.49/0.66 ; 0.021 12% Read assertion file (1 call)
% 0.49/0.66 ; 0.004 2% Assert (117 calls)
% 0.49/0.66 ; 0.044 25% Process new row (929 calls)
% 0.49/0.66 ; 0.016 9% Resolution (208 calls)
% 0.49/0.66 ; 0.002 1% Paramodulation (104 calls)
% 0.49/0.66 ; 0.000 0% Factoring (8 calls)
% 0.49/0.66 ; 0.014 8% Condensing (501 calls)
% 0.49/0.66 ; 0.019 11% Forward subsumption (501 calls)
% 0.49/0.66 ; 0.009 5% Backward subsumption (337 calls)
% 0.49/0.66 ; 0.006 3% Clause clause subsumption (670 calls)
% 0.49/0.66 ; 0.013 7% Forward simplification (928 calls)
% 0.49/0.66 ; 0.003 2% Backward simplification (463 calls)
% 0.49/0.66 ; 0.003 2% Ordering (1,380 calls)
% 0.49/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.49/0.66 ; 0.000 0% Purity testing (1 call)
% 0.49/0.66 ; 0.025 14% Other
% 0.49/0.66 ; 0.179 Total
% 0.49/0.66 ; 0.181 Real time
% 0.49/0.66 ;
% 0.49/0.66 ; Term-hash-array has 982 terms in all.
% 0.49/0.66 ; Feature-vector-row-index has 337 entries (337 at peak, 337 added, 0 deleted).
% 0.49/0.66 ; Feature-vector-row-index has 1,852 nodes (1,852 at peak, 1,852 added, 0 deleted).
% 0.49/0.66 ; Retrieved 1,093 possibly forward subsuming rows in 501 calls.
% 0.49/0.66 ; Retrieved 97 possibly backward subsumed rows in 337 calls.
% 0.49/0.66 ; Path-index has 989 entries (989 at peak, 993 added, 4 deleted).
% 0.49/0.66 ; Path-index has 2,514 nodes (2,514 at peak, 2,517 added, 3 deleted).
% 0.49/0.66 ; Trie-index has 989 entries (989 at peak, 993 added, 4 deleted).
% 0.49/0.66 ; Trie-index has 3,076 nodes (3,076 at peak, 3,084 added, 8 deleted).
% 0.49/0.66 ; Retrieved 788 generalization terms in 3,070 calls.
% 0.49/0.66 ; Retrieved 146 instance terms in 125 calls.
% 0.49/0.66 ; Retrieved 12,812 unifiable terms in 918 calls.
% 0.49/0.66 ;
% 0.49/0.66 ; The agenda of rows to process has 14 entries:
% 0.49/0.66 ; 1 with value 5 2 with value 22 2 with value 32
% 0.49/0.66 ; 3 with value 10 4 with value 23 2 with value 35
% 0.49/0.66 ; The agenda of input rows to give has 8 entries:
% 0.49/0.66 ; 1 with value 27 1 with value 31 2 with value 35
% 0.49/0.66 ; 2 with value 30 1 with value 34 1 with value 50
% 0.49/0.66 ; The agenda of rows to give has 348 entries:
% 0.49/0.66 ; 2 with value (4 4) 17 with value (4 16) 10 with value (4 27)
% 0.49/0.66 ; 4 with value (4 5) 16 with value (4 17) 10 with value (4 28)
% 0.49/0.66 ; 11 with value (4 7) 20 with value (4 18) 10 with value (4 29)
% 0.49/0.66 ; 15 with value (4 8) 26 with value (4 19) 11 with value (4 30)
% 0.49/0.66 ; 4 with value (4 9) 16 with value (4 20) 3 with value (4 31)
% 0.49/0.66 ; 11 with value (4 10) 19 with value (4 21) 7 with value (4 32)
% 0.49/0.66 ; 7 with value (4 11) 15 with value (4 22) 5 with value (4 35)
% 0.49/0.66 ; 11 with value (4 12) 16 with value (4 23) 1 with value (4 37)
% 0.49/0.66 ; 13 with value (4 13) 21 with value (4 24) 1 with value (4 38)
% 0.49/0.66 ; 13 with value (4 14) 5 with value (4 25) 1 with value (4 42)
% 0.49/0.67 ; 15 with value (4 15) 12 with value (4 26)
% 0.49/0.67 Evaluation took:
% 0.49/0.67 0.182 seconds of real time
% 0.49/0.67 0.167412 seconds of user run time
% 0.49/0.67 0.014035 seconds of system run time
% 0.49/0.67 0 calls to %EVAL
% 0.49/0.67 0 page faults and
% 0.49/0.67 11,695,160 bytes consed.
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T18:24:36
% 0.49/0.67 :PROOF-FOUND
% 0.49/0.67 *
%------------------------------------------------------------------------------