%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL090-1 : TPTP v8.1.0. Released v2.7.0.
% 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 : Fri Jul 15 00:41:50 EDT 2022
% Result : Unsatisfiable 0.38s 0.59s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 16 unt; 3 nHn; 24 RR)
% Number of literals : 36 ( 8 equ; 19 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 27 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(k_s,axiom,
combK != combS,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_s) ).
cnf(s_app,axiom,
combS != comb_app(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_app) ).
cnf(app_app1,axiom,
( comb_app(X,Y) != comb_app(Z,U)
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',app_app1) ).
cnf(ap_contractE1,axiom,
( ~ member(pair(comb_app(X,Y),Z),contract)
| ap_contractE_c1(X,Y,Z)
| ap_contractE_c2(X,Y,Z)
| ap_contractE_c3(X,Y,Z)
| ap_contractE_c4(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE1) ).
cnf(ap_contractE4,axiom,
( ~ ap_contractE_c1(X,Y,Z)
| X = comb_app(combK,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE4) ).
cnf(ap_contractE9,axiom,
( ~ ap_contractE_c2(X,Y,Z)
| X = comb_app(comb_app(combS,ap_contractE_sk1p(X,Y,Z)),ap_contractE_sk1q(X,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE9) ).
cnf(ap_contractE10,axiom,
( ~ ap_contractE_c3(X,Y,Z)
| member(pair(X,ap_contractE_sk2q(X,Y,Z)),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE10) ).
cnf(ap_contractE13,axiom,
( ~ ap_contractE_c4(X,Y,Z)
| member(pair(Y,ap_contractE_sk3q(X,Y,Z)),contract) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ap_contractE13) ).
cnf(k_contractE,axiom,
~ member(pair(combK,X),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',k_contractE) ).
cnf(s_contractE,axiom,
~ member(pair(combS,X),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_contractE) ).
cnf(i_contract_E,negated_conjecture,
member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',i_contract_E) ).
cnf(36,plain,
~ ap_contractE_c1(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE4,s_app]) ).
cnf(37,plain,
comb_app(combK,X) != comb_app(combS,Y),
inference('UR-RESOLVE',[status(thm)],[app_app1,k_s]) ).
cnf(38,plain,
comb_app(combS,X) != comb_app(comb_app(Y,Z),U),
inference('UR-RESOLVE',[status(thm)],[app_app1,s_app]) ).
cnf(48,plain,
~ ap_contractE_c3(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE10,s_contractE]) ).
cnf(51,plain,
~ ap_contractE_c4(X,combK,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE13,k_contractE]) ).
cnf(60,plain,
~ ap_contractE_c2(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE9,s_app]) ).
cnf(63,plain,
( ap_contractE_c1(comb_app(combS,combK),combK,r)
| ap_contractE_c2(comb_app(combS,combK),combK,r)
| ap_contractE_c3(comb_app(combS,combK),combK,r) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE1,i_contract_E]),51]) ).
cnf(76,plain,
~ member(pair(comb_app(combS,combK),X),contract),
inference('UR-RESOLVE',[status(thm)],[ap_contractE1,60,36,48,51]) ).
cnf(358,plain,
~ ap_contractE_c1(comb_app(combS,X),Y,Z),
inference('UR-RESOLVE',[status(thm)],[ap_contractE4,37]) ).
cnf(359,plain,
( ap_contractE_c2(comb_app(combS,combK),combK,r)
| ap_contractE_c3(comb_app(combS,combK),combK,r) ),
inference('REWRITE',[status(thm)],[63,358]) ).
cnf(382,plain,
~ ap_contractE_c3(comb_app(combS,combK),X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE10,76]) ).
cnf(383,plain,
ap_contractE_c2(comb_app(combS,combK),combK,r),
inference('REWRITE',[status(thm)],[359,382]) ).
cnf(387,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE9,383]),38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL090-1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue May 31 08:49:08 EDT 2022
% 0.12/0.34 % 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 2022-05-31T08:49:08
% 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 2022-05-31T08:49:08
% 0.38/0.59
% 0.38/0.59
% 0.38/0.59 #||
% 0.38/0.59 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.59 % SZS output start Refutation
% See solution above
% 0.38/0.59 ||#
% 0.38/0.59
% 0.38/0.59 ; Summary of computation:
% 0.38/0.59 ; 948 formulas have been input or derived (from 72 formulas).
% 0.38/0.59 ; 387 (41%) were retained. Of these,
% 0.38/0.59 ; 2 ( 1%) were simplified or subsumed later,
% 0.38/0.59 ; 385 (99%) are still being kept.
% 0.38/0.59 ;
% 0.38/0.59 ; Run time in seconds excluding printing time:
% 0.38/0.59 ; 0.006 5% Read assertion file (1 call)
% 0.38/0.59 ; 0.001 1% Assert (32 calls)
% 0.38/0.59 ; 0.047 40% Process new row (902 calls)
% 0.38/0.59 ; 0.020 17% Resolution (142 calls)
% 0.38/0.59 ; 0.001 1% Paramodulation (71 calls)
% 0.38/0.59 ; 0.001 1% Condensing (26 calls)
% 0.38/0.59 ; 0.000 0% Forward subsumption (26 calls)
% 0.38/0.59 ; 0.000 0% Backward subsumption (26 calls)
% 0.38/0.59 ; 0.000 0% Clause clause subsumption (8 calls)
% 0.38/0.59 ; 0.010 9% Forward simplification (902 calls)
% 0.38/0.59 ; 0.002 2% Backward simplification (387 calls)
% 0.38/0.59 ; 0.000 0% Ordering (8 calls)
% 0.38/0.59 ; 0.000 0% Sortal reasoning (32 calls)
% 0.38/0.59 ; 0.000 0% Purity testing (1 call)
% 0.38/0.59 ; 0.029 25% Other
% 0.38/0.59 ; 0.117 Total
% 0.38/0.59 ; 0.118 Real time
% 0.38/0.59 ;
% 0.38/0.59 ; Term-hash-array has 1,220 terms in all.
% 0.38/0.59 ; Feature-vector-row-index has 24 entries (25 at peak, 26 added, 2 deleted).
% 0.38/0.59 ; Feature-vector-row-index has 91 nodes (105 at peak, 118 added, 27 deleted).
% 0.38/0.59 ; Retrieved 3 possibly forward subsuming rows in 26 calls.
% 0.38/0.59 ; Retrieved 5 possibly backward subsumed rows in 26 calls.
% 0.38/0.59 ; Path-index has 1,223 entries (1,223 at peak, 1,228 added, 5 deleted).
% 0.38/0.59 ; Path-index has 647 nodes (647 at peak, 663 added, 16 deleted).
% 0.38/0.59 ; Trie-index has 1,223 entries (1,223 at peak, 1,228 added, 5 deleted).
% 0.38/0.59 ; Trie-index has 8,675 nodes (8,675 at peak, 8,695 added, 20 deleted).
% 0.38/0.59 ; Retrieved 514 generalization terms in 957 calls.
% 0.38/0.59 ; Retrieved 362 instance terms in 360 calls.
% 0.38/0.59 ; Retrieved 6,483 unifiable terms in 1,275 calls.
% 0.38/0.59 ;
% 0.38/0.59 ; The agenda of rows to process has 3 entries:
% 0.38/0.59 ; 3 with value 26
% 0.38/0.59 ; The agenda of rows to give has 313 entries:
% 0.38/0.59 ; 2 with value (4 11) 12 with value (4 17) 16 with value (4 30)
% 0.38/0.59 ; 19 with value (4 12) 8 with value (4 20) 32 with value (4 33)
% 0.38/0.59 ; 6 with value (4 13) 16 with value (4 22) 32 with value (4 34)
% 0.38/0.59 ; 20 with value (4 14) 8 with value (4 23) 32 with value (4 35)
% 0.38/0.59 ; 6 with value (4 15) 16 with value (4 28) 64 with value (4 39)
% 0.38/0.59 ; 8 with value (4 16) 16 with value (4 29)
% 0.38/0.59 Evaluation took:
% 0.38/0.59 0.119 seconds of real time
% 0.38/0.59 0.104482 seconds of user run time
% 0.38/0.59 0.014551 seconds of system run time
% 0.38/0.59 0 calls to %EVAL
% 0.38/0.59 0 page faults and
% 0.38/0.59 8,991,208 bytes consed.
% 0.38/0.59 :PROOF-FOUND
% 0.38/0.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T08:49:09
% 0.38/0.59 :PROOF-FOUND
% 0.38/0.59 *
%------------------------------------------------------------------------------