%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 00:41:46 EDT 2022
% Result : Unsatisfiable 2.85s 3.05s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 4 RR)
% Number of literals : 16 ( 15 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_definition) ).
cnf(q_definition,axiom,
apply(apply(apply(q,X),Y),Z) = apply(Y,apply(X,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',q_definition) ).
cnf(w_definition,axiom,
apply(apply(w,X),Y) = apply(apply(X,Y),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_definition) ).
cnf(prove_p_combinator,negated_conjecture,
apply(apply(apply(apply(apply(apply(b,apply(w,apply(q,apply(q,q)))),q),x),y),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_p_combinator) ).
cnf(5,plain,
apply(apply(apply(w,apply(apply(apply(apply(apply(q,w),b),apply(q,apply(q,q))),q),x)),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
inference('REWRITE',[status(thm)],[prove_p_combinator,w_definition,q_definition,theory(equality)]) ).
cnf(10,plain,
apply(apply(apply(w,b),X),Y) = apply(X,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,w_definition,theory(equality)]) ).
cnf(14,plain,
apply(apply(apply(apply(b,w),X),Y),Z) = apply(apply(apply(X,Y),Z),Z),
inference('PARAMODULATE',[status(thm)],[w_definition,b_definition,theory(equality)]) ).
cnf(19,plain,
apply(apply(apply(apply(apply(b,b),X),Y),Z),U) = apply(apply(X,Y),apply(Z,U)),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(21,plain,
apply(apply(w,apply(q,X)),Y) = apply(Y,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[w_definition,q_definition,theory(equality)]) ).
cnf(22,plain,
apply(apply(apply(w,q),X),Y) = apply(X,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[q_definition,w_definition,theory(equality)]) ).
cnf(23,plain,
apply(apply(apply(b,X),Y),Z) = apply(apply(apply(q,Y),X),Z),
inference('PARAMODULATE',[status(thm)],[b_definition,q_definition,theory(equality)]) ).
cnf(24,plain,
apply(apply(apply(apply(apply(b,w),apply(q,x)),apply(apply(q,q),apply(q,x))),y),z) != apply(apply(x,y),apply(apply(x,y),z)),
inference('REWRITE',[status(thm)],[5,q_definition,21,19,23,theory(equality)]) ).
cnf(34,plain,
apply(apply(apply(apply(q,X),apply(q,Y)),Z),U) = apply(apply(X,Z),apply(Y,U)),
inference('PARAMODULATE',[status(thm)],[q_definition,q_definition,theory(equality)]) ).
cnf(136,plain,
apply(apply(apply(w,b),X),Y) = apply(apply(apply(w,q),X),Y),
inference('PARAMODULATE',[status(thm)],[10,22,theory(equality)]) ).
cnf(1003,plain,
apply(apply(apply(apply(b,w),apply(q,X)),Y),Z) = apply(apply(Y,apply(X,Z)),Z),
inference('PARAMODULATE',[status(thm)],[14,q_definition,theory(equality)]) ).
cnf(1004,plain,
$false,
inference('REWRITE',[status(thm)],[24,10,136,w_definition,34,1003,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : COL066-3 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue May 31 05:17:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:17:11
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-31T05:17:11
% 2.85/3.05
% 2.85/3.05
% 2.85/3.05 #||
% 2.85/3.05 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.85/3.05 % SZS output start Refutation
% See solution above
% 2.85/3.05 ||#
% 2.85/3.05
% 2.85/3.05 ; Summary of computation:
% 2.85/3.05 ; 3297 formulas have been input or derived (from 32 formulas).
% 2.85/3.05 ; 1004 (30%) were retained. Of these,
% 2.85/3.05 ; 68 ( 7%) were simplified or subsumed later,
% 2.85/3.05 ; 936 (93%) are still being kept.
% 2.85/3.05 ;
% 2.85/3.05 ; Run time in seconds excluding printing time:
% 2.85/3.05 ; 0.002 0% Read assertion file (1 call)
% 2.85/3.05 ; 0.000 0% Assert (4 calls)
% 2.85/3.05 ; 0.146 6% Process new row (3,070 calls)
% 2.85/3.05 ; 0.003 0% Resolution (62 calls)
% 2.85/3.05 ; 0.073 3% Paramodulation (31 calls)
% 2.85/3.05 ; 0.826 32% Forward simplification (2,958 calls)
% 2.85/3.05 ; 0.162 6% Backward simplification (1,003 calls)
% 2.85/3.05 ; 1.309 51% Ordering (207,244 calls)
% 2.85/3.05 ; 0.000 0% Sortal reasoning (32 calls)
% 2.85/3.05 ; 0.000 0% Purity testing (1 call)
% 2.85/3.05 ; 0.038 1% Other
% 2.85/3.05 ; 2.559 Total
% 2.85/3.05 ; 2.562 Real time
% 2.85/3.05 ;
% 2.85/3.05 ; Term-hash-array has 3,419 terms in all.
% 2.85/3.05 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.85/3.05 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.85/3.05 ; Path-index has 3,250 entries (3,260 at peak, 3,454 added, 204 deleted).
% 2.85/3.05 ; Path-index has 765 nodes (789 at peak, 862 added, 97 deleted).
% 2.85/3.05 ; Trie-index has 3,250 entries (3,260 at peak, 3,454 added, 204 deleted).
% 2.85/3.05 ; Trie-index has 15,836 nodes (15,901 at peak, 16,903 added, 1,067 deleted).
% 2.85/3.05 ; Retrieved 478,140 generalization terms in 39,278 calls.
% 2.85/3.05 ; Retrieved 62,347 instance terms in 2,766 calls.
% 2.85/3.05 ; Retrieved 27,439 unifiable terms in 323 calls.
% 2.85/3.05 ;
% 2.85/3.05 ; The agenda of rows to process has 214 entries:
% 2.85/3.05 ; 3 with value 26 16 with value 35 2 with value 46
% 2.85/3.05 ; 2 with value 27 29 with value 36 2 with value 47
% 2.85/3.05 ; 11 with value 28 9 with value 37 1 with value 48
% 2.85/3.05 ; 21 with value 29 1 with value 38 1 with value 49
% 2.85/3.05 ; 9 with value 30 4 with value 39 2 with value 51
% 2.85/3.05 ; 21 with value 31 5 with value 40 2 with value 54
% 2.85/3.05 ; 13 with value 32 2 with value 41 1 with value 59
% 2.85/3.05 ; 19 with value 33 1 with value 43 2 with value 60
% 2.85/3.05 ; 33 with value 34 1 with value 44 1 with value 66
% 2.85/3.05 ; The agenda of rows to give has 907 entries:
% 2.85/3.05 ; 8 with value (4 23) 98 with value (4 33) 4 with value (4 44)
% 2.85/3.05 ; 19 with value (4 24) 64 with value (4 34) 3 with value (4 46)
% 2.85/3.05 ; 30 with value (4 25) 86 with value (4 35) 2 with value (4 47)
% 2.85/3.05 ; 50 with value (4 26) 25 with value (4 36) 1 with value (4 48)
% 2.85/3.05 ; 37 with value (4 27) 37 with value (4 37) 1 with value (4 49)
% 2.85/3.05 ; 58 with value (4 28) 29 with value (4 38) 3 with value (4 52)
% 2.85/3.05 ; 66 with value (4 29) 12 with value (4 39) 1 with value (4 57)
% 2.85/3.05 ; 89 with value (4 30) 6 with value (4 40) 1 with value (4 61)
% 2.85/3.05 ; 95 with value (4 31) 5 with value (4 41) 1 with value (4 65)
% 2.85/3.05 ; 73 with value (4 32) 3 with value (4 42)
% 2.85/3.05 Evaluation took:
% 2.85/3.05 2.562 seconds of real time
% 2.85/3.05 2.264026 seconds of user run time
% 2.85/3.05 0.297713 seconds of system run time
% 2.85/3.05 [Run times include 0.095 seconds GC run time.]
% 2.85/3.05 0 calls to %EVAL
% 2.85/3.05 0 page faults and
% 2.85/3.05 167,433,816 bytes consed.
% 2.85/3.05 :PROOF-FOUND
% 2.85/3.05 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T05:17:13
% 2.85/3.05 :PROOF-FOUND
% 2.85/3.05 *
%------------------------------------------------------------------------------