TSTP Solution File: SET821-2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:12:23 EDT 2022
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 12 unt; 6 nHn; 14 RR)
% Number of literals : 33 ( 7 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 36 ( 11 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__less__irrefl__iff1_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_less(Y,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(X,Y,Z)
| ~ c_in(X,c_uminus(Y,tc_set(Z)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(X,Y,Z)
| c_in(X,c_uminus(Y,tc_set(Z)),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( ~ c_in(X,Y,Z)
| c_in(X,c_insert(U,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_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_Set_OinsertE_0,axiom,
( ~ c_in(X,c_insert(Y,Z,U),U)
| c_in(X,Z,U)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_less(v_a,v_b,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_less(v_b,v_c,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_c,X,tc_IntDef_Oint)
| ~ c_in(v_b,X,tc_IntDef_Oint)
| c_in(v_a,X,tc_IntDef_Oint) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsarity_IntDef__Oint_31,axiom,
class_Orderings_Oorder(tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_IntDef__Oint_31) ).
cnf(11,plain,
~ c_less(X,X,tc_IntDef_Oint),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__less__irrefl__iff1_0,clsarity_IntDef__Oint_31]) ).
cnf(12,plain,
c_in(X,c_insert(Y,c_insert(X,Z,U),U),U),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertCI_0,cls_Set_OinsertCI_1]) ).
cnf(13,plain,
~ c_in(X,c_uminus(c_insert(X,Y,Z),tc_set(Z)),Z),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OComplD__dest_0,cls_Set_OinsertCI_1]) ).
cnf(18,plain,
~ c_in(X,c_uminus(c_insert(Y,c_insert(X,Z,U),U),tc_set(U)),U),
inference('UR-RESOLVE',[status(thm)],[cls_Set_OComplD__dest_0,12]) ).
cnf(26,plain,
~ c_in(v_b,c_uminus(c_insert(v_a,c_insert(v_c,X,tc_IntDef_Oint),tc_IntDef_Oint),tc_set(tc_IntDef_Oint)),tc_IntDef_Oint),
inference('UR-RESOLVE',[status(thm)],[cls_conjecture_2,18,13]) ).
cnf(37,plain,
c_in(v_b,c_insert(v_a,c_insert(v_c,X,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint),
inference('HYPERRESOLVE',[status(thm)],[26,cls_Set_OComplI_0]) ).
cnf(40,plain,
( c_in(v_b,c_insert(v_c,X,tc_IntDef_Oint),tc_IntDef_Oint)
| v_a = v_b ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,37]) ).
cnf(42,plain,
( v_a = v_b
| c_in(v_b,X,tc_IntDef_Oint)
| v_c = v_b ),
inference('HYPERRESOLVE',[status(thm)],[cls_Set_OinsertE_0,40]) ).
cnf(44,plain,
( v_a = v_b
| v_c = v_b ),
inference('HYPERRESOLVE',[status(thm)],[26,42]) ).
cnf(45,plain,
v_a = v_b,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_1,44,theory(equality)]),11]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_0,11,45,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET821-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 02:32:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:32:09
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-11T02:32:09
% 0.21/0.52
% 0.21/0.52
% 0.21/0.52 #||
% 0.21/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.52 % SZS output start Refutation
% See solution above
% 0.38/0.52 ||#
% 0.38/0.52
% 0.38/0.52 ; Summary of computation:
% 0.38/0.52 ; 122 formulas have been input or derived (from 25 formulas).
% 0.38/0.52 ; 46 (38%) were retained. Of these,
% 0.38/0.52 ; 23 (50%) were simplified or subsumed later,
% 0.38/0.52 ; 23 (50%) are still being kept.
% 0.38/0.52 ;
% 0.38/0.52 ; Run time in seconds excluding printing time:
% 0.38/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.38/0.52 ; 0.001 2% Assert (10 calls)
% 0.38/0.52 ; 0.004 10% Process new row (80 calls)
% 0.38/0.52 ; 0.002 5% Resolution (48 calls)
% 0.38/0.52 ; 0.000 0% Paramodulation (24 calls)
% 0.38/0.52 ; 0.001 2% Factoring (7 calls)
% 0.38/0.52 ; 0.000 0% Condensing (29 calls)
% 0.38/0.52 ; 0.001 2% Forward subsumption (29 calls)
% 0.38/0.52 ; 0.001 2% Backward subsumption (22 calls)
% 0.38/0.52 ; 0.002 5% Clause clause subsumption (15 calls)
% 0.38/0.52 ; 0.004 10% Forward simplification (76 calls)
% 0.38/0.52 ; 0.002 5% Backward simplification (46 calls)
% 0.38/0.52 ; 0.000 0% Ordering (50 calls)
% 0.38/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.52 ; 0.000 0% Purity testing (1 call)
% 0.38/0.52 ; 0.022 52% Other
% 0.38/0.52 ; 0.042 Total
% 0.38/0.52 ; 0.045 Real time
% 0.38/0.52 ;
% 0.38/0.52 ; Term-hash-array has 110 terms in all.
% 0.38/0.52 ; Feature-vector-row-index has 7 entries (21 at peak, 22 added, 15 deleted).
% 0.38/0.52 ; Feature-vector-row-index has 30 nodes (164 at peak, 170 added, 140 deleted).
% 0.38/0.52 ; Retrieved 13 possibly forward subsuming rows in 29 calls.
% 0.38/0.52 ; Retrieved 2 possibly backward subsumed rows in 22 calls.
% 0.38/0.52 ; Path-index has 59 entries (114 at peak, 114 added, 55 deleted).
% 0.38/0.52 ; Path-index has 262 nodes (334 at peak, 334 added, 72 deleted).
% 0.38/0.52 ; Trie-index has 59 entries (114 at peak, 114 added, 55 deleted).
% 0.38/0.52 ; Trie-index has 252 nodes (519 at peak, 519 added, 267 deleted).
% 0.38/0.52 ; Retrieved 84 generalization terms in 89 calls.
% 0.38/0.52 ; Retrieved 26 instance terms in 23 calls.
% 0.38/0.52 ; Retrieved 572 unifiable terms in 212 calls.
% 0.38/0.52 ;
% 0.38/0.52 ; The agenda of backward simplifiable rows to process has 20 entries:
% 0.38/0.52 ; 20 with value 0
% 0.38/0.52 ; The agenda of rows to process has 4 entries:
% 0.38/0.52 ; 1 with value 21 1 with value 29 1 with value 30
% 0.38/0.52 ; 1 with value 25
% 0.38/0.52 ; The agenda of rows to give has 8 entries:
% 0.38/0.52 ; 1 with value (4 12) 1 with value (4 25) 1 with value (4 28)
% 0.38/0.52 ; 5 with value (4 24)
% 0.38/0.52 Evaluation took:
% 0.38/0.52 0.046 seconds of real time
% 0.38/0.52 0.041736 seconds of user run time
% 0.38/0.52 0.004178 seconds of system run time
% 0.38/0.52 0 calls to %EVAL
% 0.38/0.52 0 page faults and
% 0.38/0.52 3,361,432 bytes consed.
% 0.38/0.52 :PROOF-FOUND
% 0.38/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T02:32:09
% 0.38/0.52 :PROOF-FOUND
% 0.38/0.52 *
%------------------------------------------------------------------------------