%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL090-2 : 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 51.24s 51.48s
% Output : Refutation 51.34s
% 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/sandbox2/benchmark/theBenchmark.p',k_s) ).
cnf(s_app,axiom,
combS != comb_app(X,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).
cnf(app_app1,axiom,
( comb_app(X,Y) != comb_app(Z,U)
| X = Z ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).
cnf(ap_contractE4,axiom,
( ~ ap_contractE_c1(X,Y,Z)
| X = comb_app(combK,Z) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).
cnf(k_contractE,axiom,
~ member(pair(combK,X),contract),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).
cnf(s_contractE,axiom,
~ member(pair(combS,X),contract),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',i_contract_E) ).
cnf(318,plain,
~ ap_contractE_c1(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE4,s_app]) ).
cnf(390,plain,
comb_app(combK,X) != comb_app(combS,Y),
inference('UR-RESOLVE',[status(thm)],[app_app1,k_s]) ).
cnf(391,plain,
comb_app(combS,X) != comb_app(comb_app(Y,Z),U),
inference('UR-RESOLVE',[status(thm)],[app_app1,s_app]) ).
cnf(714,plain,
~ ap_contractE_c3(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE10,s_contractE]) ).
cnf(717,plain,
~ ap_contractE_c4(X,combK,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE13,k_contractE]) ).
cnf(872,plain,
~ ap_contractE_c2(combS,X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE9,s_app]) ).
cnf(959,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]),717]) ).
cnf(1281,plain,
~ member(pair(comb_app(combS,combK),X),contract),
inference('UR-RESOLVE',[status(thm)],[ap_contractE1,872,318,714,717]) ).
cnf(14248,plain,
~ ap_contractE_c1(comb_app(combS,X),Y,Z),
inference('UR-RESOLVE',[status(thm)],[ap_contractE4,390]) ).
cnf(14249,plain,
( ap_contractE_c2(comb_app(combS,combK),combK,r)
| ap_contractE_c3(comb_app(combS,combK),combK,r) ),
inference('REWRITE',[status(thm)],[959,14248]) ).
cnf(108105,plain,
~ ap_contractE_c3(comb_app(combS,combK),X,Y),
inference('UR-RESOLVE',[status(thm)],[ap_contractE10,1281]) ).
cnf(108106,plain,
ap_contractE_c2(comb_app(combS,combK),combK,r),
inference('REWRITE',[status(thm)],[14249,108105]) ).
cnf(108348,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[ap_contractE9,108106]),391]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : COL090-2 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 May 31 06:43:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:43:24
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-05-31T06:43:24
% 0.19/0.50 WARNING:
% 0.19/0.50 |le| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.50 WARNING:
% 0.19/0.50 |lt| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 51.24/51.48
% 51.24/51.48
% 51.24/51.48 #||
% 51.24/51.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.24/51.48 % SZS output start Refutation
% See solution above
% 51.34/51.54 ||#
% 51.34/51.54
% 51.34/51.54 ; Summary of computation:
% 51.34/51.54 ; 212828 formulas have been input or derived (from 976 formulas).
% 51.34/51.54 ; 108348 (51%) were retained. Of these,
% 51.34/51.54 ; 25687 (24%) were simplified or subsumed later,
% 51.34/51.54 ; 82661 (76%) are still being kept.
% 51.34/51.54 ;
% 51.34/51.54 ; Run time in seconds excluding printing time:
% 51.34/51.54 ; 0.030 0% Read assertion file (1 call)
% 51.34/51.54 ; 0.006 0% Assert (174 calls)
% 51.34/51.54 ; 14.035 28% Process new row (200,360 calls)
% 51.34/51.54 ; 22.144 43% Resolution (1,950 calls)
% 51.34/51.54 ; 0.085 0% Paramodulation (975 calls)
% 51.34/51.54 ; 0.001 0% Factoring (12 calls)
% 51.34/51.54 ; 0.069 0% Condensing (10,878 calls)
% 51.34/51.54 ; 3.797 7% Forward subsumption (10,878 calls)
% 51.34/51.54 ; 2.056 4% Backward subsumption (9,864 calls)
% 51.34/51.54 ; 0.029 0% Clause clause subsumption (20,071 calls)
% 51.34/51.54 ; 3.988 8% Forward simplification (194,722 calls)
% 51.34/51.54 ; 3.971 8% Backward simplification (108,348 calls)
% 51.34/51.54 ; 0.037 0% Ordering (23,329 calls)
% 51.34/51.54 ; 0.001 0% Sortal reasoning (32 calls)
% 51.34/51.54 ; 0.001 0% Purity testing (1 call)
% 51.34/51.54 ; 0.771 2% Other
% 51.34/51.54 ; 51.021 Total
% 51.34/51.54 ; 51.084 Real time
% 51.34/51.55 ;
% 51.34/51.55 ; Term-hash-array has 195,549 terms in all.
% 51.34/51.55 ; Feature-vector-row-index has 9,807 entries (9,812 at peak, 9,864 added, 57 deleted).
% 51.34/51.55 ; Feature-vector-row-index has 69,762 nodes (69,782 at peak, 70,180 added, 418 deleted).
% 51.34/51.55 ; Retrieved 17,012 possibly forward subsuming rows in 10,878 calls.
% 51.34/51.55 ; Retrieved 4,159 possibly backward subsumed rows in 9,864 calls.
% 51.34/51.55 ; Path-index has 154,041 entries (158,424 at peak, 195,647 added, 41,606 deleted).
% 51.34/51.55 ; Path-index has 105,444 nodes (105,444 at peak, 110,361 added, 4,917 deleted).
% 51.34/51.55 ; Trie-index has 154,041 entries (158,424 at peak, 195,647 added, 41,606 deleted).
% 51.34/51.55 ; Trie-index has 711,409 nodes (711,409 at peak, 821,967 added, 110,558 deleted).
% 51.34/51.55 ; Retrieved 176,683 generalization terms in 544,021 calls.
% 51.34/51.55 ; Retrieved 109,520 instance terms in 98,483 calls.
% 51.34/51.55 ; Retrieved 33,432,496 unifiable terms in 101,888 calls.
% 51.34/51.55 ;
% 51.34/51.55 ; The agenda of rows to process has 3 entries:
% 51.34/51.55 ; 3 with value 26
% 51.34/51.55 ; The agenda of rows to give has 81792 entries:
% 51.34/51.55 ; 3 with value (4 11) 1410 with value (4 27) 329 with value (4 42)
% 51.34/51.55 ; 657 with value (4 12) 1502 with value (4 28) 524 with value (4 43)
% 51.34/51.55 ; 1242 with value (4 13) 732 with value (4 29) 397 with value (4 44)
% 51.34/51.55 ; 2546 with value (4 14) 535 with value (4 30) 534 with value (4 45)
% 51.34/51.55 ; 5328 with value (4 15) 217 with value (4 31) 515 with value (4 46)
% 51.34/51.55 ; 5485 with value (4 16) 225 with value (4 32) 496 with value (4 47)
% 51.34/51.55 ; 8042 with value (4 17) 223 with value (4 33) 354 with value (4 48)
% 51.34/51.55 ; 9006 with value (4 18) 196 with value (4 34) 376 with value (4 49)
% 51.34/51.55 ; 5221 with value (4 19) 172 with value (4 35) 226 with value (4 50)
% 51.34/51.55 ; 5372 with value (4 20) 367 with value (4 36) 148 with value (4 51)
% 51.34/51.55 ; 6351 with value (4 21) 323 with value (4 37) 99 with value (4 52)
% 51.34/51.55 ; 8822 with value (4 22) 229 with value (4 38) 63 with value (4 53)
% 51.34/51.55 ; 4480 with value (4 23) 349 with value (4 39) 13 with value (4 54)
% 51.34/51.55 ; 3821 with value (4 24) 235 with value (4 40) 12 with value (4 55)
% 51.34/51.55 ; 2170 with value (4 25) 478 with value (4 41) 3 with value (4 56)
% 51.34/51.55 ; 1964 with value (4 26)
% 51.34/51.55 Evaluation took:
% 51.34/51.55 51.095 seconds of real time
% 51.34/51.55 48.39879 seconds of user run time
% 51.34/51.55 2.696577 seconds of system run time
% 51.34/51.55 [Run times include 16.289 seconds GC run time.]
% 51.34/51.55 0 calls to %EVAL
% 51.34/51.55 0 page faults and
% 51.34/51.55 2,196,146,232 bytes consed.
% 51.34/51.55 :PROOF-FOUND
% 51.34/51.55 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T06:44:15
% 51.34/51.55 :PROOF-FOUND
% 51.34/51.55 *
%------------------------------------------------------------------------------