TSTP Solution File: SET013-4 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET013-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 05:05:41 EDT 2022
% Result : Unsatisfiable 10.07s 10.30s
% Output : Refutation 10.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 25 ( 10 unt; 6 nHn; 23 RR)
% Number of literals : 43 ( 6 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(extensionality1,axiom,
( little_set(f1(X,Y))
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality1) ).
cnf(extensionality2,axiom,
( member(f1(X,Y),X)
| member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality2) ).
cnf(extensionality3,axiom,
( ~ member(f1(X,Y),X)
| ~ member(f1(X,Y),Y)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extensionality3) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
cnf(intersection2,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
cnf(intersection3,axiom,
( member(X,intersection(Y,Z))
| ~ member(X,Y)
| ~ member(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
cnf(universal_set,axiom,
( member(X,universal_set)
| ~ little_set(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',universal_set) ).
cnf(intersection_of_a_and_b_is_c,hypothesis,
intersection(as,bs) = cs,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_a_and_b_is_c) ).
cnf(intersection_of_b_and_a_is_d,hypothesis,
intersection(bs,as) = ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection_of_b_and_a_is_d) ).
cnf(prove_c_equals_d,negated_conjecture,
cs != ds,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_equals_d) ).
cnf(13,plain,
little_set(f1(cs,ds)),
inference('UR-RESOLVE',[status(thm)],[extensionality1,prove_c_equals_d]) ).
cnf(17,plain,
( ~ member(X,cs)
| member(X,as) ),
inference('PARAMODULATE',[status(thm)],[intersection1,intersection_of_a_and_b_is_c,theory(equality)]) ).
cnf(18,plain,
( ~ member(X,ds)
| member(X,bs) ),
inference('PARAMODULATE',[status(thm)],[intersection1,intersection_of_b_and_a_is_d,theory(equality)]) ).
cnf(20,plain,
( ~ member(X,cs)
| member(X,bs) ),
inference('PARAMODULATE',[status(thm)],[intersection2,intersection_of_a_and_b_is_c,theory(equality)]) ).
cnf(21,plain,
( ~ member(X,ds)
| member(X,as) ),
inference('PARAMODULATE',[status(thm)],[intersection2,intersection_of_b_and_a_is_d,theory(equality)]) ).
cnf(30,plain,
member(f1(cs,ds),universal_set),
inference('HYPERRESOLVE',[status(thm)],[universal_set,13]) ).
cnf(43,plain,
( member(f1(cs,ds),cs)
| member(f1(cs,ds),intersection(universal_set,ds)) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,30,extensionality2]),prove_c_equals_d]) ).
cnf(2936,plain,
( member(f1(cs,ds),cs)
| member(f1(cs,ds),ds) ),
inference('HYPERRESOLVE',[status(thm)],[intersection2,43]) ).
cnf(2942,plain,
( member(f1(cs,ds),cs)
| member(f1(cs,ds),as) ),
inference('HYPERRESOLVE',[status(thm)],[21,2936]) ).
cnf(2943,plain,
( member(f1(cs,ds),cs)
| member(f1(cs,ds),bs) ),
inference('HYPERRESOLVE',[status(thm)],[18,2936]) ).
cnf(10094,plain,
member(f1(cs,ds),as),
inference('HYPERRESOLVE',[status(thm)],[17,2942]) ).
cnf(10143,plain,
member(f1(cs,ds),bs),
inference('HYPERRESOLVE',[status(thm)],[20,2943]) ).
cnf(10145,plain,
member(f1(cs,ds),ds),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,10143,10094]),intersection_of_b_and_a_is_d,theory(equality)]) ).
cnf(10148,plain,
member(f1(cs,ds),cs),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection3,10143,10094]),intersection_of_a_and_b_is_c,theory(equality)]) ).
cnf(10155,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[extensionality3,10145,prove_c_equals_d]),10148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET013-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 10 05:45:31 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:45:31
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T05:45:31
% 10.07/10.30
% 10.07/10.30
% 10.07/10.30 #||
% 10.07/10.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/10.30 % SZS output start Refutation
% See solution above
% 10.07/10.30 ||#
% 10.07/10.30
% 10.07/10.30 ; Summary of computation:
% 10.07/10.30 ; 12263 formulas have been input or derived (from 216 formulas).
% 10.07/10.30 ; 10155 (83%) were retained. Of these,
% 10.07/10.30 ; 57 ( 1%) were simplified or subsumed later,
% 10.07/10.30 ; 10098 (99%) are still being kept.
% 10.07/10.30 ;
% 10.07/10.30 ; Run time in seconds excluding printing time:
% 10.07/10.30 ; 0.002 0% Read assertion file (1 call)
% 10.07/10.30 ; 0.000 0% Assert (12 calls)
% 10.07/10.30 ; 0.835 8% Process new row (12,123 calls)
% 10.07/10.30 ; 0.280 3% Resolution (430 calls)
% 10.07/10.30 ; 0.040 0% Paramodulation (215 calls)
% 10.07/10.30 ; 0.002 0% Factoring (184 calls)
% 10.07/10.30 ; 0.024 0% Condensing (11,254 calls)
% 10.07/10.30 ; 3.785 38% Forward subsumption (11,254 calls)
% 10.07/10.30 ; 1.385 14% Backward subsumption (10,096 calls)
% 10.07/10.30 ; 3.008 31% Clause clause subsumption (2,107,888 calls)
% 10.07/10.30 ; 0.345 4% Forward simplification (12,015 calls)
% 10.07/10.30 ; 0.016 0% Backward simplification (10,155 calls)
% 10.07/10.30 ; 0.043 0% Ordering (50,727 calls)
% 10.07/10.30 ; 0.000 0% Sortal reasoning (32 calls)
% 10.07/10.30 ; 0.000 0% Purity testing (1 call)
% 10.07/10.30 ; 0.071 1% Other
% 10.07/10.30 ; 9.836 Total
% 10.07/10.30 ; 9.838 Real time
% 10.07/10.30 ;
% 10.07/10.30 ; Term-hash-array has 14,535 terms in all.
% 10.07/10.30 ; Feature-vector-row-index has 10,049 entries (10,090 at peak, 10,096 added, 47 deleted).
% 10.07/10.30 ; Feature-vector-row-index has 5,753 nodes (5,831 at peak, 5,850 added, 97 deleted).
% 10.07/10.30 ; Retrieved 1,532,758 possibly forward subsuming rows in 11,254 calls.
% 10.07/10.30 ; Retrieved 593,228 possibly backward subsumed rows in 10,096 calls.
% 10.07/10.30 ; Path-index has 14,480 entries (14,513 at peak, 14,541 added, 61 deleted).
% 10.07/10.30 ; Path-index has 420 nodes (420 at peak, 430 added, 10 deleted).
% 10.07/10.30 ; Trie-index has 14,480 entries (14,513 at peak, 14,541 added, 61 deleted).
% 10.07/10.30 ; Trie-index has 22,452 nodes (22,503 at peak, 22,560 added, 108 deleted).
% 10.07/10.30 ; Retrieved 3,744 generalization terms in 64,583 calls.
% 10.07/10.30 ; Retrieved 60 instance terms in 58 calls.
% 10.07/10.30 ; Retrieved 361,785 unifiable terms in 2,214 calls.
% 10.07/10.30 ;
% 10.07/10.30 ; The agenda of rows to process has 31 entries:
% 10.07/10.30 ; 16 with value 17 2 with value 21 1 with value 28
% 10.07/10.30 ; 12 with value 20
% 10.07/10.30 ; The agenda of rows to give has 9892 entries:
% 10.07/10.30 ; 1 with value (4 14) 2130 with value (4 23) 4 with value (4 28)
% 10.07/10.30 ; 3 with value (4 16) 10 with value (4 24) 8 with value (4 29)
% 10.07/10.30 ; 2 with value (4 19) 2356 with value (4 25) 32 with value (4 31)
% 10.07/10.30 ; 466 with value (4 20) 1736 with value (4 26) 48 with value (4 33)
% 10.07/10.30 ; 381 with value (4 21) 2032 with value (4 27) 16 with value (4 35)
% 10.07/10.30 ; 667 with value (4 22)
% 10.07/10.30 Evaluation took:
% 10.07/10.30 9.84 seconds of real time
% 10.07/10.30 7.377232 seconds of user run time
% 10.07/10.30 2.4618 seconds of system run time
% 10.07/10.30 [Run times include 0.751 seconds GC run time.]
% 10.07/10.30 0 calls to %EVAL
% 10.07/10.30 0 page faults and
% 10.07/10.30 1,154,586,160 bytes consed.
% 10.07/10.30 :PROOF-FOUND
% 10.07/10.30 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:45:41
% 10.07/10.30 :PROOF-FOUND
% 10.07/10.30 *
%------------------------------------------------------------------------------