TSTP Solution File: LCL443-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:23:00 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 10 unt; 0 nHn; 8 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 24 ( 5 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Othms_OMP_0,axiom,
( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X,U,Z),c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| c_in(U,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Odeduction_0,axiom,
( ~ c_in(X,c_PropLog_Othms(c_insert(Y,Z,tc_PropLog_Opl(U)),U),tc_PropLog_Opl(U))
| c_in(c_PropLog_Opl_Oop_A_N_62(Y,X,U),c_PropLog_Othms(Z,U),tc_PropLog_Opl(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( ~ c_in(X,Y,tc_PropLog_Opl(Z))
| c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| c_in(X,c_PropLog_Othms(c_insert(U,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X,c_insert(X,Y,Z),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(11,plain,
c_in(X,c_PropLog_Othms(c_insert(X,Y,tc_PropLog_Opl(Z)),Z),tc_PropLog_Opl(Z)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).
cnf(13,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_0]) ).
cnf(14,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__left__insert_0,cls_conjecture_1]) ).
cnf(15,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Odeduction_0,cls_conjecture_2]) ).
cnf(29,plain,
c_in(X,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,13,11]) ).
cnf(51,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms_OMP_0,15,14]),29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL443-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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 20:13:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:13:59
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-04T20:13:59
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 158 formulas have been input or derived (from 22 formulas).
% 0.19/0.51 ; 51 (32%) were retained. Of these,
% 0.19/0.51 ; 51 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (8 calls)
% 0.19/0.51 ; 0.004 10% Process new row (85 calls)
% 0.19/0.51 ; 0.009 22% Resolution (42 calls)
% 0.19/0.51 ; 0.000 0% Paramodulation (21 calls)
% 0.19/0.51 ; 0.000 0% Condensing (4 calls)
% 0.19/0.51 ; 0.001 2% Forward subsumption (4 calls)
% 0.19/0.51 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (3 calls)
% 0.19/0.51 ; 0.000 0% Forward simplification (85 calls)
% 0.19/0.51 ; 0.001 2% Backward simplification (51 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.023 56% Other
% 0.19/0.51 ; 0.041 Total
% 0.19/0.51 ; 0.041 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 121 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 31 nodes (31 at peak, 31 added, 0 deleted).
% 0.19/0.51 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 4 calls.
% 0.19/0.51 ; Path-index has 126 entries (126 at peak, 126 added, 0 deleted).
% 0.19/0.51 ; Path-index has 359 nodes (359 at peak, 359 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 126 entries (126 at peak, 126 added, 0 deleted).
% 0.19/0.51 ; Trie-index has 717 nodes (717 at peak, 717 added, 0 deleted).
% 0.19/0.51 ; Retrieved 82 generalization terms in 80 calls.
% 0.19/0.51 ; Retrieved 62 instance terms in 46 calls.
% 0.19/0.51 ; Retrieved 874 unifiable terms in 317 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 5 entries:
% 0.19/0.51 ; 1 with value 21 2 with value 26 1 with value 27
% 0.19/0.51 ; 1 with value 23
% 0.19/0.51 ; The agenda of rows to give has 29 entries:
% 0.19/0.51 ; 1 with value (4 11) 5 with value (4 21) 2 with value (4 25)
% 0.19/0.51 ; 1 with value (4 17) 4 with value (4 22) 2 with value (4 26)
% 0.19/0.51 ; 2 with value (4 19) 3 with value (4 23) 1 with value (4 29)
% 0.19/0.51 ; 4 with value (4 20) 4 with value (4 24)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.042 seconds of real time
% 0.19/0.51 0.032639 seconds of user run time
% 0.19/0.51 0.009473 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,095,352 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-04T20:14:00
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------