TSTP Solution File: KRS076+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 03:28:30 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 24 ( 13 unt; 0 nHn; 24 RR)
% Number of literals : 39 ( 5 equ; 20 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( X != Y
| ~ cp(X)
| cp(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cp_substitution_1) ).
cnf(23,axiom,
( ~ cUnsatisfiable(X)
| rf(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(24,axiom,
( ~ cUnsatisfiable(X)
| cp('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(25,axiom,
( ~ cUnsatisfiable(X)
| rf1(X,'SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(26,axiom,
( ~ cUnsatisfiable(X)
| ~ cp('SKOLEMAAAV2'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(27,axiom,
( ~ cUnsatisfiable(X)
| ~ rinvF1('SKOLEMAAAV2'(X),Y)
| rs(Y,'SKOLEMAAAV3'(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
cnf(31,axiom,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
cnf(32,axiom,
( ~ rf1(X,Y)
| ~ rf1(X,Z)
| Y = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
cnf(36,axiom,
( rinvF1(X,Y)
| ~ rf1(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
cnf(40,axiom,
cUnsatisfiable(i2003_11_14_17_19_06193),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
cnf(41,axiom,
( ~ rs(X,Y)
| rf1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
cnf(42,axiom,
( ~ rs(X,Y)
| rf(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
cnf(43,plain,
cp('SKOLEMAAAV1'(i2003_11_14_17_19_06193)),
inference('HYPERRESOLVE',[status(thm)],[24,40]) ).
cnf(44,plain,
~ cp('SKOLEMAAAV2'(i2003_11_14_17_19_06193)),
inference('UR-RESOLVE',[status(thm)],[26,40]) ).
cnf(45,plain,
rf(i2003_11_14_17_19_06193,'SKOLEMAAAV1'(i2003_11_14_17_19_06193)),
inference('HYPERRESOLVE',[status(thm)],[23,40]) ).
cnf(46,plain,
rf1(i2003_11_14_17_19_06193,'SKOLEMAAAV2'(i2003_11_14_17_19_06193)),
inference('HYPERRESOLVE',[status(thm)],[25,40]) ).
cnf(47,plain,
'SKOLEMAAAV1'(i2003_11_14_17_19_06193) != 'SKOLEMAAAV2'(i2003_11_14_17_19_06193),
inference('UR-RESOLVE',[status(thm)],[4,44,43]) ).
cnf(49,plain,
rinvF1('SKOLEMAAAV2'(i2003_11_14_17_19_06193),i2003_11_14_17_19_06193),
inference('HYPERRESOLVE',[status(thm)],[36,46]) ).
cnf(50,plain,
rs(i2003_11_14_17_19_06193,'SKOLEMAAAV3'(i2003_11_14_17_19_06193)),
inference('HYPERRESOLVE',[status(thm)],[27,49,40]) ).
cnf(51,plain,
~ rf1(i2003_11_14_17_19_06193,'SKOLEMAAAV1'(i2003_11_14_17_19_06193)),
inference('UR-RESOLVE',[status(thm)],[32,47,46]) ).
cnf(54,plain,
rf(i2003_11_14_17_19_06193,'SKOLEMAAAV3'(i2003_11_14_17_19_06193)),
inference('HYPERRESOLVE',[status(thm)],[42,50]) ).
cnf(56,plain,
~ rs(i2003_11_14_17_19_06193,'SKOLEMAAAV1'(i2003_11_14_17_19_06193)),
inference('UR-RESOLVE',[status(thm)],[41,51]) ).
cnf(61,plain,
'SKOLEMAAAV1'(i2003_11_14_17_19_06193) = 'SKOLEMAAAV3'(i2003_11_14_17_19_06193),
inference('HYPERRESOLVE',[status(thm)],[31,54,45]) ).
cnf(62,plain,
$false,
inference('REWRITE',[status(thm)],[50,56,61,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS076+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 13:30:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T13:30:20
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-07T13:30:20
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 #||
% 0.18/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 ||#
% 0.18/0.50
% 0.18/0.50 ; Summary of computation:
% 0.18/0.50 ; 147 formulas have been input or derived (from 52 formulas).
% 0.18/0.50 ; 62 (42%) were retained. Of these,
% 0.18/0.50 ; 8 (13%) were simplified or subsumed later,
% 0.18/0.50 ; 54 (87%) are still being kept.
% 0.18/0.50 ;
% 0.18/0.50 ; Run time in seconds excluding printing time:
% 0.18/0.50 ; 0.007 18% Read assertion file (1 call)
% 0.18/0.50 ; 0.001 2% Assert (30 calls)
% 0.18/0.50 ; 0.007 18% Process new row (102 calls)
% 0.18/0.50 ; 0.002 5% Resolution (102 calls)
% 0.18/0.50 ; 0.000 0% Paramodulation (51 calls)
% 0.18/0.50 ; 0.000 0% Factoring (1 call)
% 0.18/0.50 ; 0.000 0% Condensing (39 calls)
% 0.18/0.50 ; 0.001 2% Forward subsumption (39 calls)
% 0.18/0.50 ; 0.000 0% Backward subsumption (38 calls)
% 0.18/0.50 ; 0.000 0% Clause clause subsumption (14 calls)
% 0.18/0.50 ; 0.000 0% Forward simplification (102 calls)
% 0.18/0.50 ; 0.000 0% Backward simplification (61 calls)
% 0.18/0.50 ; 0.000 0% Ordering (5 calls)
% 0.18/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.50 ; 0.000 0% Purity testing (1 call)
% 0.18/0.50 ; 0.022 55% Other
% 0.18/0.50 ; 0.040 Total
% 0.18/0.50 ; 0.043 Real time
% 0.18/0.50 ;
% 0.18/0.50 ; Term-hash-array has 83 terms in all.
% 0.18/0.50 ; Feature-vector-row-index has 36 entries (36 at peak, 38 added, 2 deleted).
% 0.18/0.50 ; Feature-vector-row-index has 70 nodes (70 at peak, 73 added, 3 deleted).
% 0.18/0.50 ; Retrieved 9 possibly forward subsuming rows in 39 calls.
% 0.18/0.50 ; Retrieved 9 possibly backward subsumed rows in 38 calls.
% 0.18/0.50 ; Path-index has 77 entries (82 at peak, 84 added, 7 deleted).
% 0.18/0.50 ; Path-index has 108 nodes (114 at peak, 114 added, 6 deleted).
% 0.18/0.50 ; Trie-index has 77 entries (82 at peak, 84 added, 7 deleted).
% 0.18/0.50 ; Trie-index has 99 nodes (111 at peak, 111 added, 12 deleted).
% 0.18/0.50 ; Retrieved 40 generalization terms in 52 calls.
% 0.18/0.50 ; Retrieved 24 instance terms in 22 calls.
% 0.18/0.50 ; Retrieved 1,241 unifiable terms in 425 calls.
% 0.18/0.50 ;
% 0.18/0.50 ; The agenda of backward simplifiable rows to process has 4 entries:
% 0.18/0.50 ; 4 with value 0
% 0.18/0.50 ; The agenda of rows to process has 8 entries:
% 0.18/0.50 ; 8 with value 12
% 0.18/0.50 ; The agenda of rows to give has 5 entries:
% 0.18/0.50 ; 4 with value (4 10) 1 with value (4 12)
% 0.18/0.50 Evaluation took:
% 0.18/0.50 0.043 seconds of real time
% 0.18/0.50 0.039298 seconds of user run time
% 0.18/0.50 0.004153 seconds of system run time
% 0.18/0.50 0 calls to %EVAL
% 0.18/0.50 0 page faults and
% 0.18/0.50 3,263,200 bytes consed.
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-07T13:30:20
% 0.18/0.50 :PROOF-FOUND
% 0.18/0.50 *
%------------------------------------------------------------------------------