TSTP Solution File: LCL429-2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:22:48 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 6 RR)
% Number of literals : 18 ( 0 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 31 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_ODiff__weaken__left_0,axiom,
( ~ c_in(X,c_PropLog_Othms(c_minus(Y,Z,tc_set(tc_PropLog_Opl(U))),U),tc_PropLog_Opl(U))
| ~ c_lessequals(Y,V,tc_set(tc_PropLog_Opl(U)))
| c_in(X,c_PropLog_Othms(c_minus(V,Z,tc_set(tc_PropLog_Opl(U))),U),tc_PropLog_Opl(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_ODiff__weaken__left_0) ).
cnf(cls_PropLog_Ohyps__Diff_0,axiom,
c_lessequals(c_PropLog_Ohyps(X,c_minus(Y,c_insert(Z,c_emptyset,U),tc_set(U)),U),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(Z,U),c_PropLog_Opl_Ofalse,U),c_minus(c_PropLog_Ohyps(X,Y,U),c_insert(c_PropLog_Opl_Ovar(Z,U),c_emptyset,tc_PropLog_Opl(U)),tc_set(tc_PropLog_Opl(U))),tc_PropLog_Opl(U)),tc_set(tc_PropLog_Opl(U))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ohyps__Diff_0) ).
cnf(cls_PropLog_Oinsert__Diff__same_0,axiom,
c_lessequals(c_minus(X,Y,tc_set(Z)),c_insert(U,c_minus(X,c_insert(U,Y,Z),tc_set(Z)),Z),tc_set(Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__same_0) ).
cnf(cls_PropLog_Oinsert__Diff__subset2_0,axiom,
c_lessequals(c_minus(c_insert(X,c_minus(Y,c_insert(Z,c_emptyset,U),tc_set(U)),U),V,tc_set(U)),c_insert(X,c_minus(Y,c_insert(Z,V,U),tc_set(U)),U),tc_set(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oinsert__Diff__subset2_0) ).
cnf(cls_PropLog_Othms__excluded__middle__rule_0,axiom,
( ~ c_in(X,c_PropLog_Othms(c_insert(Y,Z,tc_PropLog_Opl(U)),U),tc_PropLog_Opl(U))
| ~ c_in(X,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(Y,c_PropLog_Opl_Ofalse,U),Z,tc_PropLog_Opl(U)),U),tc_PropLog_Opl(U))
| c_in(X,c_PropLog_Othms(Z,U),tc_PropLog_Opl(U)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Othms__excluded__middle__rule_0) ).
cnf(cls_PropLog_Oweaken__left_0,axiom,
( ~ c_in(X,c_PropLog_Othms(Y,Z),tc_PropLog_Opl(Z))
| ~ c_lessequals(Y,U,tc_set(tc_PropLog_Opl(Z)))
| c_in(X,c_PropLog_Othms(U,Z),tc_PropLog_Opl(Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_5,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(9,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X,c_minus(c_PropLog_Ohyps(v_p,Y,t_a),c_insert(X,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_Oweaken__left_0,cls_conjecture_3,cls_PropLog_Oinsert__Diff__same_0]) ).
cnf(11,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,Y,t_a),c_insert(c_PropLog_Opl_Ovar(X,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference('HYPERRESOLVE',[status(thm)],[cls_PropLog_ODiff__weaken__left_0,cls_PropLog_Ohyps__Diff_0,cls_conjecture_3]) ).
cnf(12,plain,
~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Othms__excluded__middle__rule_0,9,cls_conjecture_5]) ).
cnf(14,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_PropLog_Oweaken__left_0,12,cls_PropLog_Oinsert__Diff__subset2_0]),11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n011.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 : Sat Jul 2 11:32:34 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 2022-07-02T11:32:35
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-02T11:32:35
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 18 formulas have been input or derived (from 12 formulas).
% 0.19/0.50 ; 14 (78%) were retained. Of these,
% 0.19/0.50 ; 14 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (8 calls)
% 0.19/0.50 ; 0.002 6% Process new row (14 calls)
% 0.19/0.50 ; 0.001 3% Resolution (22 calls)
% 0.19/0.50 ; 0.001 3% Paramodulation (11 calls)
% 0.19/0.50 ; 0.001 3% Condensing (3 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (3 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (3 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (1 call)
% 0.19/0.50 ; 0.002 6% Forward simplification (14 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (14 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.022 69% Other
% 0.19/0.50 ; 0.032 Total
% 0.19/0.50 ; 0.035 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 80 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 44 nodes (44 at peak, 44 added, 0 deleted).
% 0.19/0.50 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 3 calls.
% 0.19/0.50 ; Path-index has 87 entries (87 at peak, 87 added, 0 deleted).
% 0.19/0.50 ; Path-index has 668 nodes (668 at peak, 668 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 87 entries (87 at peak, 87 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 692 nodes (692 at peak, 692 added, 0 deleted).
% 0.19/0.50 ; Retrieved 3 generalization terms in 10 calls.
% 0.19/0.50 ; Retrieved 10 instance terms in 10 calls.
% 0.19/0.50 ; Retrieved 166 unifiable terms in 168 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 2 entries:
% 0.19/0.51 ; 1 with value 45 1 with value 53
% 0.19/0.51 ; The agenda of rows to give has 2 entries:
% 0.19/0.51 ; 2 with value (4 43)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.036 seconds of real time
% 0.19/0.51 0.032899 seconds of user run time
% 0.19/0.51 0.002867 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 3,267,384 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-02T11:32:35
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------