TSTP Solution File: SET825-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:12:26 EDT 2022
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 5 unt; 5 nHn; 11 RR)
% Number of literals : 21 ( 6 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_OIdI_0,axiom,
c_in(c_Pair(X,X,Y,Y),c_Relation_OId,tc_prod(Y,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_OIdI_0) ).
cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,
( ~ c_in(c_Pair(X,Y,Z,Z),c_Relation_OId,tc_prod(Z,Z))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
cnf(cls_conjecture_0,negated_conjecture,
v_Q(v_n),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ v_Q(v_m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X),v_xa(X),tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_Suc(v_x(X)),c_Suc(v_xa(X)),tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(7,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(c_Relation_OId),v_xa(c_Relation_OId),tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference('HYPERRESOLVE',[status(thm)],[cls_conjecture_2,cls_Relation_OIdI_0]) ).
cnf(8,plain,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat))
| v_x(c_Relation_OId) = v_xa(c_Relation_OId) ),
inference('HYPERRESOLVE',[status(thm)],[cls_Relation_Opair__in__Id__conv__iff1_0,7]) ).
cnf(9,plain,
( v_x(c_Relation_OId) = v_xa(c_Relation_OId)
| v_n = v_m ),
inference('HYPERRESOLVE',[status(thm)],[cls_Relation_Opair__in__Id__conv__iff1_0,8]) ).
cnf(10,plain,
( v_n = v_m
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_3,9,theory(equality)]),cls_Relation_OIdI_0]) ).
cnf(11,plain,
v_n = v_m,
inference('HYPERRESOLVE',[status(thm)],[cls_Relation_Opair__in__Id__conv__iff1_0,10]) ).
cnf(12,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,cls_conjecture_1,11,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET825-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 06:18:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:18:26
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T06:18:26
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 #||
% 0.18/0.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 ||#
% 0.18/0.48
% 0.18/0.48 ; Summary of computation:
% 0.18/0.48 ; 22 formulas have been input or derived (from 11 formulas).
% 0.18/0.48 ; 12 (55%) were retained. Of these,
% 0.18/0.48 ; 7 (58%) were simplified or subsumed later,
% 0.18/0.48 ; 5 (42%) are still being kept.
% 0.18/0.48 ;
% 0.18/0.48 ; Run time in seconds excluding printing time:
% 0.18/0.48 ; 0.002 7% Read assertion file (1 call)
% 0.18/0.48 ; 0.001 4% Assert (6 calls)
% 0.18/0.48 ; 0.000 0% Process new row (15 calls)
% 0.18/0.48 ; 0.000 0% Resolution (20 calls)
% 0.18/0.48 ; 0.000 0% Paramodulation (10 calls)
% 0.18/0.48 ; 0.000 0% Factoring (4 calls)
% 0.18/0.48 ; 0.000 0% Condensing (7 calls)
% 0.18/0.48 ; 0.003 11% Forward subsumption (7 calls)
% 0.18/0.48 ; 0.000 0% Backward subsumption (7 calls)
% 0.18/0.48 ; 0.000 0% Forward simplification (15 calls)
% 0.18/0.48 ; 0.001 4% Backward simplification (12 calls)
% 0.18/0.48 ; 0.000 0% Ordering (27 calls)
% 0.18/0.48 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.48 ; 0.000 0% Purity testing (1 call)
% 0.18/0.48 ; 0.021 75% Other
% 0.18/0.48 ; 0.028 Total
% 0.18/0.48 ; 0.031 Real time
% 0.18/0.48 ;
% 0.18/0.48 ; Term-hash-array has 29 terms in all.
% 0.18/0.48 ; Feature-vector-row-index has 1 entry (7 at peak, 7 added, 6 deleted).
% 0.18/0.48 ; Feature-vector-row-index has 6 nodes (115 at peak, 115 added, 109 deleted).
% 0.18/0.48 ; Retrieved 0 possibly forward subsuming rows in 7 calls.
% 0.18/0.48 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.18/0.49 ; Path-index has 12 entries (34 at peak, 34 added, 22 deleted).
% 0.18/0.49 ; Path-index has 62 nodes (102 at peak, 102 added, 40 deleted).
% 0.18/0.49 ; Trie-index has 12 entries (34 at peak, 34 added, 22 deleted).
% 0.18/0.49 ; Trie-index has 29 nodes (127 at peak, 127 added, 98 deleted).
% 0.18/0.49 ; Retrieved 10 generalization terms in 17 calls.
% 0.18/0.49 ; Retrieved 4 instance terms in 4 calls.
% 0.18/0.49 ; Retrieved 31 unifiable terms in 72 calls.
% 0.18/0.49 ;
% 0.18/0.49 ; The agenda of backward simplifiable rows to process has 6 entries:
% 0.18/0.49 ; 6 with value 0
% 0.18/0.49 ; The agenda of rows to give has 1 entry:
% 0.18/0.49 ; 1 with value (4 9)
% 0.18/0.49 Evaluation took:
% 0.18/0.49 0.031 seconds of real time
% 0.18/0.49 0.02774 seconds of user run time
% 0.18/0.49 0.003523 seconds of system run time
% 0.18/0.49 0 calls to %EVAL
% 0.18/0.49 0 page faults and
% 0.18/0.49 2,399,416 bytes consed.
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T06:18:26
% 0.18/0.49 :PROOF-FOUND
% 0.18/0.49 *
%------------------------------------------------------------------------------