TSTP Solution File: SET018-3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET018-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:05:52 EDT 2022
% Result : Unsatisfiable 0.54s 0.74s
% Output : Refutation 0.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 16 ( 13 unt; 0 nHn; 14 RR)
% Number of literals : 25 ( 13 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 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 : 16 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(non_ordered_pair4,axiom,
little_set(non_ordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',non_ordered_pair4) ).
cnf(ordered_pair,axiom,
ordered_pair(X,Y) = non_ordered_pair(singleton_set(X),non_ordered_pair(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET003-0.ax',ordered_pair) ).
cnf(first_components_are_equal,axiom,
( ~ little_set(X)
| ~ little_set(Y)
| ordered_pair(X,Z) != ordered_pair(Y,U)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',first_components_are_equal) ).
cnf(169,plain,
( ~ little_set(X)
| ~ little_set(Y)
| non_ordered_pair(singleton_set(X),non_ordered_pair(X,Z)) != non_ordered_pair(singleton_set(Y),non_ordered_pair(Y,U))
| X = Y ),
inference('REWRITE',[status(thm)],[first_components_are_equal,ordered_pair,theory(equality)]) ).
cnf(left_cancellation,axiom,
( ~ little_set(X)
| ~ little_set(Y)
| non_ordered_pair(Z,X) != non_ordered_pair(Z,Y)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_cancellation) ).
cnf(a_little_set,hypothesis,
little_set(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_little_set) ).
cnf(b_little_set,hypothesis,
little_set(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_little_set) ).
cnf(c_little_set,hypothesis,
little_set(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_little_set) ).
cnf(d_little_set,hypothesis,
little_set(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_little_set) ).
cnf(equal_ordered_pair,hypothesis,
ordered_pair(a,b) = ordered_pair(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_ordered_pair) ).
cnf(176,plain,
non_ordered_pair(singleton_set(a),non_ordered_pair(a,b)) = non_ordered_pair(singleton_set(c),non_ordered_pair(c,d)),
inference('REWRITE',[status(thm)],[equal_ordered_pair,ordered_pair,theory(equality)]) ).
cnf(prove_second_components_equal,negated_conjecture,
b != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_second_components_equal) ).
cnf(726,plain,
non_ordered_pair(X,d) != non_ordered_pair(X,b),
inference('UR-RESOLVE',[status(thm)],[left_cancellation,d_little_set,b_little_set,prove_second_components_equal]) ).
cnf(813,plain,
c = a,
inference('HYPERRESOLVE',[status(thm)],[169,c_little_set,a_little_set,176]) ).
cnf(814,plain,
non_ordered_pair(singleton_set(a),non_ordered_pair(a,b)) = non_ordered_pair(singleton_set(a),non_ordered_pair(a,d)),
inference('REWRITE',[status(thm)],[176,813,theory(equality)]) ).
cnf(820,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[left_cancellation,814,non_ordered_pair4,non_ordered_pair4]),726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET018-3 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n015.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 : Sun Jul 10 14:45:23 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:45:23
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T14:45:23
% 0.54/0.74
% 0.54/0.74
% 0.54/0.74 #||
% 0.54/0.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.74 % SZS output start Refutation
% See solution above
% 0.54/0.74 ||#
% 0.54/0.74
% 0.54/0.74 ; Summary of computation:
% 0.54/0.74 ; 1162 formulas have been input or derived (from 132 formulas).
% 0.54/0.74 ; 820 (71%) were retained. Of these,
% 0.54/0.74 ; 57 ( 7%) were simplified or subsumed later,
% 0.54/0.74 ; 763 (93%) are still being kept.
% 0.54/0.74 ;
% 0.54/0.74 ; Run time in seconds excluding printing time:
% 0.54/0.74 ; 0.027 10% Read assertion file (1 call)
% 0.54/0.74 ; 0.005 2% Assert (149 calls)
% 0.54/0.74 ; 0.075 29% Process new row (1,073 calls)
% 0.54/0.74 ; 0.036 14% Resolution (262 calls)
% 0.54/0.74 ; 0.004 2% Paramodulation (131 calls)
% 0.54/0.74 ; 0.001 0% Factoring (13 calls)
% 0.54/0.74 ; 0.011 4% Condensing (697 calls)
% 0.54/0.74 ; 0.018 7% Forward subsumption (697 calls)
% 0.54/0.74 ; 0.029 11% Backward subsumption (658 calls)
% 0.54/0.74 ; 0.001 0% Clause clause subsumption (772 calls)
% 0.54/0.74 ; 0.022 8% Forward simplification (1,065 calls)
% 0.54/0.74 ; 0.003 1% Backward simplification (792 calls)
% 0.54/0.74 ; 0.002 1% Ordering (1,300 calls)
% 0.54/0.74 ; 0.000 0% Sortal reasoning (32 calls)
% 0.54/0.74 ; 0.001 0% Purity testing (1 call)
% 0.54/0.74 ; 0.028 11% Other
% 0.54/0.74 ; 0.263 Total
% 0.54/0.74 ; 0.265 Real time
% 0.54/0.74 ;
% 0.54/0.74 ; Term-hash-array has 2,145 terms in all.
% 0.54/0.74 ; Feature-vector-row-index has 649 entries (654 at peak, 658 added, 9 deleted).
% 0.54/0.74 ; Feature-vector-row-index has 3,125 nodes (3,125 at peak, 3,174 added, 49 deleted).
% 0.54/0.74 ; Retrieved 775 possibly forward subsuming rows in 697 calls.
% 0.54/0.74 ; Retrieved 235 possibly backward subsumed rows in 658 calls.
% 0.54/0.74 ; Path-index has 2,085 entries (2,142 at peak, 2,156 added, 71 deleted).
% 0.54/0.74 ; Path-index has 9,646 nodes (9,675 at peak, 9,693 added, 47 deleted).
% 0.54/0.74 ; Trie-index has 2,085 entries (2,142 at peak, 2,156 added, 71 deleted).
% 0.54/0.74 ; Trie-index has 9,644 nodes (9,725 at peak, 9,781 added, 137 deleted).
% 0.54/0.74 ; Retrieved 1,282 generalization terms in 3,000 calls.
% 0.54/0.74 ; Retrieved 136 instance terms in 133 calls.
% 0.54/0.74 ; Retrieved 61,258 unifiable terms in 1,464 calls.
% 0.54/0.74 ;
% 0.54/0.74 ; The agenda of rows to process has 27 entries:
% 0.54/0.74 ; 7 with value 11 1 with value 21 3 with value 31
% 0.54/0.74 ; 3 with value 17 1 with value 25 2 with value 36
% 0.54/0.74 ; 8 with value 20 2 with value 27
% 0.54/0.74 ; The agenda of input rows to give has 19 entries:
% 0.54/0.74 ; 3 with value 27 4 with value 35 1 with value 52
% 0.54/0.74 ; 3 with value 28 1 with value 38 2 with value 54
% 0.54/0.74 ; 1 with value 29 1 with value 45 1 with value 81
% 0.54/0.74 ; 2 with value 30
% 0.54/0.74 ; The agenda of rows to give has 614 entries:
% 0.54/0.74 ; 5 with value (4 4) 23 with value (4 19) 8 with value (4 34)
% 0.54/0.74 ; 11 with value (4 5) 23 with value (4 20) 4 with value (4 35)
% 0.54/0.74 ; 9 with value (4 6) 27 with value (4 21) 6 with value (4 36)
% 0.54/0.74 ; 20 with value (4 7) 18 with value (4 22) 2 with value (4 37)
% 0.54/0.74 ; 21 with value (4 8) 7 with value (4 23) 10 with value (4 38)
% 0.54/0.74 ; 6 with value (4 9) 17 with value (4 24) 6 with value (4 39)
% 0.54/0.74 ; 5 with value (4 10) 10 with value (4 25) 4 with value (4 40)
% 0.54/0.74 ; 28 with value (4 11) 8 with value (4 26) 8 with value (4 41)
% 0.54/0.74 ; 6 with value (4 12) 50 with value (4 27) 2 with value (4 42)
% 0.54/0.74 ; 7 with value (4 13) 27 with value (4 28) 4 with value (4 45)
% 0.54/0.74 ; 19 with value (4 14) 12 with value (4 29) 4 with value (4 49)
% 0.54/0.74 ; 8 with value (4 15) 17 with value (4 30) 2 with value (4 51)
% 0.54/0.74 ; 23 with value (4 16) 20 with value (4 31) 4 with value (4 56)
% 0.54/0.74 ; 27 with value (4 17) 17 with value (4 32) 2 with value (4 58)
% 0.54/0.74 ; 53 with value (4 18) 16 with value (4 33) 8 with value (4 61)
% 0.54/0.74 Evaluation took:
% 0.54/0.74 0.266 seconds of real time
% 0.54/0.74 0.239216 seconds of user run time
% 0.54/0.74 0.026039 seconds of system run time
% 0.54/0.74 [Run times include 0.015 seconds GC run time.]
% 0.54/0.74 0 calls to %EVAL
% 0.54/0.74 0 page faults and
% 0.54/0.74 17,286,408 bytes consed.
% 0.54/0.74 :PROOF-FOUND
% 0.54/0.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T14:45:23
% 0.54/0.74 :PROOF-FOUND
% 0.54/0.74 *
%------------------------------------------------------------------------------