TSTP Solution File: LCL106-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 : Sun Jul 17 14:20:13 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 7 unt; 0 nHn; 5 RR)
% Number of literals : 10 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
( ~ is_a_theorem(equivalent(X,Y))
| ~ is_a_theorem(X)
| is_a_theorem(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
cnf(q_1,axiom,
is_a_theorem(equivalent(X,equivalent(equivalent(Y,Z),equivalent(equivalent(Z,Y),X)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_1) ).
cnf(q_4,axiom,
is_a_theorem(equivalent(equivalent(equivalent(X,Y),equivalent(X,Z)),equivalent(Y,Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_4) ).
cnf(prove_q_2,negated_conjecture,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,a),equivalent(c,b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_q_2) ).
cnf(5,plain,
~ is_a_theorem(equivalent(equivalent(X,equivalent(a,b)),equivalent(X,equivalent(equivalent(c,a),equivalent(c,b))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,prove_q_2,q_4]) ).
cnf(8,plain,
is_a_theorem(equivalent(equivalent(X,Y),equivalent(equivalent(Y,X),equivalent(Z,equivalent(equivalent(U,V),equivalent(equivalent(V,U),Z)))))),
inference('HYPERRESOLVE',[status(thm)],[condensed_detachment,q_1,q_1]) ).
cnf(10,plain,
~ is_a_theorem(equivalent(equivalent(X,equivalent(Y,equivalent(a,b))),equivalent(X,equivalent(Y,equivalent(equivalent(c,a),equivalent(c,b)))))),
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,5,q_4]) ).
cnf(33,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[condensed_detachment,10,8,q_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : LCL106-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 : Mon Jul 4 06:30:05 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 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:30:06
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-04T06:30:06
% 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
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 60 formulas have been input or derived (from 10 formulas).
% 0.20/0.51 ; 33 (55%) were retained. Of these,
% 0.20/0.51 ; 33 (100%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.001 3% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (4 calls)
% 0.20/0.51 ; 0.007 20% Process new row (46 calls)
% 0.20/0.51 ; 0.001 3% Resolution (18 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (9 calls)
% 0.20/0.51 ; 0.001 3% Condensing (1 call)
% 0.20/0.51 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.51 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.51 ; 0.002 6% Forward simplification (46 calls)
% 0.20/0.51 ; 0.001 3% Backward simplification (33 calls)
% 0.20/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.022 63% Other
% 0.20/0.51 ; 0.035 Total
% 0.20/0.51 ; 0.036 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 156 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 4 nodes (4 at peak, 4 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.51 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.51 ; Path-index has 159 entries (159 at peak, 159 added, 0 deleted).
% 0.20/0.51 ; Path-index has 485 nodes (485 at peak, 485 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 159 entries (159 at peak, 159 added, 0 deleted).
% 0.20/0.51 ; Trie-index has 953 nodes (953 at peak, 953 added, 0 deleted).
% 0.20/0.51 ; Retrieved 45 generalization terms in 43 calls.
% 0.20/0.51 ; Retrieved 31 instance terms in 31 calls.
% 0.20/0.51 ; Retrieved 430 unifiable terms in 150 calls.
% 0.20/0.51 ;
% 0.20/0.51 ; The agenda of rows to process has 7 entries:
% 0.20/0.51 ; 1 with value 19 1 with value 34 1 with value 50
% 0.20/0.51 ; 1 with value 29 2 with value 42 1 with value 51
% 0.20/0.51 ; The agenda of rows to give has 23 entries:
% 0.20/0.51 ; 1 with value (4 29) 2 with value (4 37) 3 with value (4 42)
% 0.20/0.51 ; 1 with value (4 30) 1 with value (4 38) 1 with value (4 45)
% 0.20/0.51 ; 2 with value (4 31) 1 with value (4 39) 2 with value (4 46)
% 0.20/0.51 ; 3 with value (4 32) 3 with value (4 41) 1 with value (4 47)
% 0.20/0.51 ; 2 with value (4 36)
% 0.20/0.51 Evaluation took:
% 0.20/0.51 0.037 seconds of real time
% 0.20/0.51 0.033387 seconds of user run time
% 0.20/0.51 0.003312 seconds of system run time
% 0.20/0.51 0 calls to %EVAL
% 0.20/0.51 0 page faults and
% 0.20/0.51 2,501,480 bytes consed.
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T06:30:06
% 0.20/0.51 :PROOF-FOUND
% 0.20/0.51 *
%------------------------------------------------------------------------------