TSTP Solution File: KRS109+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 03:28:36 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 27 ( 14 unt; 0 nHn; 27 RR)
% Number of literals : 44 ( 3 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(21,axiom,
( X != Y
| ~ rs(Z,X)
| rs(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rs_substitution_2) ).
cnf(28,axiom,
( ~ cUnsatisfiable(X)
| cpxcomp(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(29,axiom,
( ~ cUnsatisfiable(X)
| rf(X,'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(30,axiom,
( ~ cUnsatisfiable(X)
| ca_Ax2('SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
cnf(32,axiom,
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
cnf(34,axiom,
( ~ cpxcomp(X)
| ra_Px1(X,'SKOLEMAAAV3'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
cnf(36,axiom,
( ~ ca_Ax2(X)
| ~ rinvS(X,Y)
| cp(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(37,axiom,
( ~ ca_Ax2(X)
| ~ rinvF(X,Y)
| ca_Vx3(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
cnf(42,axiom,
( ~ ca_Vx3(X)
| rs(X,'SKOLEMAAAV6'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
cnf(45,axiom,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
cnf(48,axiom,
( rinvF(X,Y)
| ~ rf(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
cnf(52,axiom,
( rinvS(X,Y)
| ~ rs(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).
cnf(54,axiom,
cUnsatisfiable(i2003_11_14_17_21_08508),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
cnf(55,axiom,
( ~ rs(X,Y)
| rf(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
cnf(57,plain,
cpxcomp(i2003_11_14_17_21_08508),
inference('HYPERRESOLVE',[status(thm)],[28,54]) ).
cnf(58,plain,
ca_Ax2('SKOLEMAAAV1'(i2003_11_14_17_21_08508)),
inference('HYPERRESOLVE',[status(thm)],[30,54]) ).
cnf(59,plain,
rf(i2003_11_14_17_21_08508,'SKOLEMAAAV1'(i2003_11_14_17_21_08508)),
inference('HYPERRESOLVE',[status(thm)],[29,54]) ).
cnf(62,plain,
ra_Px1(i2003_11_14_17_21_08508,'SKOLEMAAAV3'(i2003_11_14_17_21_08508)),
inference('HYPERRESOLVE',[status(thm)],[34,57]) ).
cnf(63,plain,
rinvF('SKOLEMAAAV1'(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference('HYPERRESOLVE',[status(thm)],[48,59]) ).
cnf(65,plain,
~ cp(i2003_11_14_17_21_08508),
inference('UR-RESOLVE',[status(thm)],[32,62]) ).
cnf(67,plain,
~ rinvS('SKOLEMAAAV1'(i2003_11_14_17_21_08508),i2003_11_14_17_21_08508),
inference('UR-RESOLVE',[status(thm)],[36,65,58]) ).
cnf(68,plain,
ca_Vx3(i2003_11_14_17_21_08508),
inference('HYPERRESOLVE',[status(thm)],[37,63,58]) ).
cnf(70,plain,
rs(i2003_11_14_17_21_08508,'SKOLEMAAAV6'(i2003_11_14_17_21_08508)),
inference('HYPERRESOLVE',[status(thm)],[42,68]) ).
cnf(73,plain,
~ rs(i2003_11_14_17_21_08508,'SKOLEMAAAV1'(i2003_11_14_17_21_08508)),
inference('UR-RESOLVE',[status(thm)],[52,67]) ).
cnf(75,plain,
rf(i2003_11_14_17_21_08508,'SKOLEMAAAV6'(i2003_11_14_17_21_08508)),
inference('HYPERRESOLVE',[status(thm)],[55,70]) ).
cnf(80,plain,
'SKOLEMAAAV6'(i2003_11_14_17_21_08508) != 'SKOLEMAAAV1'(i2003_11_14_17_21_08508),
inference('UR-RESOLVE',[status(thm)],[21,73,70]) ).
cnf(86,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[45,75,59]),80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.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 13:47:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-07T13:47:45
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-07T13:47:45
% 0.18/0.51
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 207 formulas have been input or derived (from 75 formulas).
% 0.18/0.51 ; 86 (42%) were retained. Of these,
% 0.18/0.51 ; 2 ( 2%) were simplified or subsumed later,
% 0.18/0.51 ; 84 (98%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.007 15% Read assertion file (1 call)
% 0.18/0.51 ; 0.002 4% Assert (39 calls)
% 0.18/0.51 ; 0.005 11% Process new row (146 calls)
% 0.18/0.51 ; 0.003 6% Resolution (148 calls)
% 0.18/0.51 ; 0.001 2% Paramodulation (74 calls)
% 0.18/0.51 ; 0.000 0% Factoring (5 calls)
% 0.18/0.51 ; 0.000 0% Condensing (65 calls)
% 0.18/0.51 ; 0.001 2% Forward subsumption (65 calls)
% 0.18/0.51 ; 0.000 0% Backward subsumption (56 calls)
% 0.18/0.51 ; 0.000 0% Clause clause subsumption (23 calls)
% 0.18/0.51 ; 0.000 0% Forward simplification (146 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (86 calls)
% 0.18/0.51 ; 0.000 0% Ordering (19 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.001 2% Purity testing (1 call)
% 0.18/0.51 ; 0.026 55% Other
% 0.18/0.51 ; 0.047 Total
% 0.18/0.51 ; 0.051 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 106 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 54 entries (54 at peak, 56 added, 2 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 105 nodes (105 at peak, 108 added, 3 deleted).
% 0.18/0.51 ; Retrieved 20 possibly forward subsuming rows in 65 calls.
% 0.18/0.51 ; Retrieved 17 possibly backward subsumed rows in 56 calls.
% 0.18/0.51 ; Path-index has 105 entries (105 at peak, 107 added, 2 deleted).
% 0.18/0.51 ; Path-index has 142 nodes (142 at peak, 142 added, 0 deleted).
% 0.18/0.51 ; Trie-index has 105 entries (105 at peak, 107 added, 2 deleted).
% 0.18/0.51 ; Trie-index has 139 nodes (139 at peak, 139 added, 0 deleted).
% 0.18/0.51 ; Retrieved 49 generalization terms in 75 calls.
% 0.18/0.51 ; Retrieved 31 instance terms in 29 calls.
% 0.18/0.51 ; Retrieved 1,477 unifiable terms in 562 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 7 entries:
% 0.18/0.51 ; 7 with value 13
% 0.18/0.51 ; The agenda of rows to give has 9 entries:
% 0.18/0.51 ; 1 with value (4 10) 2 with value (4 12) 1 with value (4 16)
% 0.18/0.51 ; 4 with value (4 11) 1 with value (4 13)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.051 seconds of real time
% 0.18/0.51 0.041877 seconds of user run time
% 0.18/0.51 0.009054 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 3,655,888 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-07T13:47:45
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------