TSTP Solution File: SET008-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:05:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 2 nHn; 7 RR)
% Number of literals : 15 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(intersection_axiom1,axiom,
( member(h(X,Y,Z),Z)
| intersection(X,Y,Z)
| member(h(X,Y,Z),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom1) ).
cnf(intersection_axiom2,axiom,
( member(h(X,Y,Z),Z)
| intersection(X,Y,Z)
| member(h(X,Y,Z),Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-2.ax',intersection_axiom2) ).
cnf(not_member_of_difference,axiom,
( ~ member(X,Y)
| ~ member(X,Z)
| ~ difference(U,Y,Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET001-3.ax',not_member_of_difference) ).
cnf(b_minus_a,hypothesis,
difference(b,a,bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_minus_a) ).
cnf(a_intersection_bDa,negated_conjecture,
~ intersection(a,bDa,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_intersection_bDa) ).
cnf(prove_aI_bDa_is_empty,negated_conjecture,
~ member(X,aI_bDa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_aI_bDa_is_empty) ).
cnf(25,plain,
member(h(a,bDa,aI_bDa),a),
inference('UR-RESOLVE',[status(thm)],[intersection_axiom1,prove_aI_bDa_is_empty,a_intersection_bDa]) ).
cnf(28,plain,
member(h(a,bDa,aI_bDa),bDa),
inference('UR-RESOLVE',[status(thm)],[intersection_axiom2,prove_aI_bDa_is_empty,a_intersection_bDa]) ).
cnf(43,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[not_member_of_difference,25,b_minus_a]),28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET008-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 20:22:20 EDT 2022
% 0.13/0.34 % 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 *
% 0.20/0.48 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 2022-07-10T20:22:20
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T20:22:20
% 0.20/0.51
% 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
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 94 formulas have been input or derived (from 31 formulas).
% 0.20/0.52 ; 43 (46%) were retained. Of these,
% 0.20/0.52 ; 43 (100%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.006 16% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (21 calls)
% 0.20/0.52 ; 0.001 3% Process new row (56 calls)
% 0.20/0.52 ; 0.003 8% Resolution (60 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (30 calls)
% 0.20/0.52 ; 0.000 0% Factoring (7 calls)
% 0.20/0.52 ; 0.001 3% Condensing (24 calls)
% 0.20/0.52 ; 0.001 3% Forward subsumption (24 calls)
% 0.20/0.52 ; 0.001 3% Backward subsumption (24 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (21 calls)
% 0.20/0.52 ; 0.000 0% Forward simplification (56 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (43 calls)
% 0.20/0.52 ; 0.002 5% Ordering (19 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 58% Other
% 0.20/0.52 ; 0.038 Total
% 0.20/0.52 ; 0.039 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 61 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 24 entries (24 at peak, 24 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 51 nodes (51 at peak, 51 added, 0 deleted).
% 0.20/0.52 ; Retrieved 9 possibly forward subsuming rows in 24 calls.
% 0.20/0.52 ; Retrieved 12 possibly backward subsumed rows in 24 calls.
% 0.20/0.52 ; Path-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.20/0.52 ; Path-index has 109 nodes (109 at peak, 109 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 65 entries (65 at peak, 65 added, 0 deleted).
% 0.20/0.52 ; Trie-index has 98 nodes (98 at peak, 98 added, 0 deleted).
% 0.20/0.52 ; Retrieved 16 generalization terms in 41 calls.
% 0.20/0.52 ; Retrieved 18 instance terms in 18 calls.
% 0.20/0.52 ; Retrieved 1,843 unifiable terms in 245 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 17 entries:
% 0.20/0.52 ; 1 with value 10 7 with value 18 1 with value 34
% 0.20/0.52 ; 1 with value 17 7 with value 26
% 0.20/0.52 ; The agenda of rows to give has 12 entries:
% 0.20/0.52 ; 1 with value (4 6) 1 with value (4 9) 2 with value (4 13)
% 0.20/0.52 ; 6 with value (4 7) 1 with value (4 10) 1 with value (4 19)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.04 seconds of real time
% 0.20/0.52 0.031865 seconds of user run time
% 0.20/0.52 0.008128 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,284,576 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T20:22:20
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------