%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL064-7 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 00:41:45 EDT 2022
% Result : Unsatisfiable 115.34s 115.58s
% Output : Refutation 115.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 5 RR)
% Number of literals : 24 ( 23 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 72 ( 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(t_definition,axiom,
apply(apply(t,X),Y) = apply(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t_definition) ).
cnf(prove_v_combinator,negated_conjecture,
apply(apply(apply(apply(apply(b,apply(t,apply(apply(b,b),t))),apply(apply(b,b),apply(apply(b,t),t))),x),y),z) != apply(apply(z,x),y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_combinator) ).
cnf(4,plain,
apply(apply(apply(apply(apply(apply(apply(b,b),t),apply(apply(b,b),t)),apply(apply(b,b),apply(apply(b,t),t))),x),y),z) != apply(apply(z,x),y),
inference('REWRITE',[status(thm)],[prove_v_combinator,b_definition,theory(equality)]) ).
cnf(5,plain,
apply(apply(apply(b,X),apply(t,Y)),Z) = apply(X,apply(Z,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,t_definition,theory(equality)]) ).
cnf(7,plain,
apply(apply(apply(b,apply(t,X)),Y),Z) = apply(apply(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[t_definition,b_definition,theory(equality)]) ).
cnf(8,plain,
apply(apply(apply(apply(apply(apply(b,b),b),apply(t,z)),apply(b,apply(t,y))),apply(apply(b,apply(t,x)),apply(apply(apply(b,b),t),apply(apply(b,b),t)))),apply(apply(b,b),apply(apply(b,t),t))) != apply(apply(z,x),y),
inference('REWRITE',[status(thm)],[4,b_definition,7,theory(equality)]) ).
cnf(9,plain,
apply(apply(apply(b,X),apply(apply(b,Y),Z)),U) = apply(X,apply(Y,apply(Z,U))),
inference('PARAMODULATE',[status(thm)],[b_definition,b_definition,theory(equality)]) ).
cnf(12,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(17,plain,
apply(apply(apply(b,X),Y),Z) = apply(apply(apply(b,X),apply(t,Z)),Y),
inference('PARAMODULATE',[status(thm)],[b_definition,5,theory(equality)]) ).
cnf(19,plain,
apply(apply(apply(b,apply(t,X)),apply(t,Y)),Z) = apply(apply(Z,Y),X),
inference('PARAMODULATE',[status(thm)],[t_definition,5,theory(equality)]) ).
cnf(25,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(X,apply(apply(apply(b,Y),apply(t,U)),Z)),
inference('PARAMODULATE',[status(thm)],[b_definition,5,theory(equality)]) ).
cnf(54,plain,
apply(apply(apply(apply(apply(b,b),t),X),Y),Z) = apply(apply(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[7,b_definition,theory(equality)]) ).
cnf(62,plain,
apply(apply(apply(b,apply(t,X)),Y),apply(Z,U)) = apply(apply(apply(apply(b,Y),Z),U),X),
inference('PARAMODULATE',[status(thm)],[7,b_definition,theory(equality)]) ).
cnf(142,plain,
apply(X,apply(Y,apply(Z,U))) = apply(X,apply(apply(apply(b,Y),Z),U)),
inference('PARAMODULATE',[status(thm)],[b_definition,9,theory(equality)]) ).
cnf(144,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(apply(apply(b,X),apply(apply(b,Y),Z)),U),
inference('PARAMODULATE',[status(thm)],[b_definition,9,theory(equality)]) ).
cnf(687,plain,
apply(apply(apply(b,apply(t,X)),apply(t,Y)),apply(apply(apply(apply(b,b),t),Z),U)) = apply(apply(apply(U,Y),Z),X),
inference('PARAMODULATE',[status(thm)],[19,54,theory(equality)]) ).
cnf(2291,plain,
apply(apply(apply(apply(apply(b,b),X),apply(Y,Z)),apply(t,U)),V) = apply(apply(apply(apply(b,X),apply(t,Z)),Y),apply(V,U)),
inference('PARAMODULATE',[status(thm)],[5,25,theory(equality)]) ).
cnf(3053,plain,
apply(apply(apply(apply(apply(apply(b,b),b),apply(t,X)),apply(t,Y)),Z),apply(U,V)) = apply(apply(apply(apply(b,apply(Z,Y)),U),V),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[62,5,theory(equality)]),b_definition,theory(equality)]) ).
cnf(3541,plain,
apply(apply(apply(b,X),apply(apply(b,Y),Z)),apply(U,V)) = apply(apply(apply(b,X),Y),apply(apply(apply(b,Z),U),V)),
inference('PARAMODULATE',[status(thm)],[142,144,theory(equality)]) ).
cnf(3561,plain,
apply(apply(apply(b,X),Y),apply(Z,U)) = apply(apply(apply(apply(apply(apply(b,b),b),X),apply(b,Y)),Z),U),
inference('PARAMODULATE',[status(thm)],[144,12,theory(equality)]) ).
cnf(3562,plain,
apply(apply(apply(b,apply(t,z)),apply(apply(b,apply(t,y)),apply(t,x))),apply(apply(apply(apply(b,b),t),apply(apply(b,b),t)),apply(apply(b,b),apply(apply(b,t),t)))) != apply(apply(z,x),y),
inference('REWRITE',[status(thm)],[8,3541,3561,theory(equality)]) ).
cnf(3617,plain,
apply(apply(apply(apply(apply(b,b),t),X),apply(apply(b,Y),apply(apply(b,Z),U))),V) = apply(apply(apply(apply(b,Y),Z),apply(U,V)),X),
inference('PARAMODULATE',[status(thm)],[54,144,theory(equality)]) ).
cnf(3769,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3562,7,theory(equality)]),19,687,3617,t_definition,b_definition,17,2291,3053,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COL064-7 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.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 15:08:43 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:08:43
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-31T15:08:43
% 115.34/115.58
% 115.34/115.58
% 115.34/115.58 #||
% 115.34/115.58 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 115.34/115.58 % SZS output start Refutation
% See solution above
% 115.34/115.59 ||#
% 115.34/115.59
% 115.34/115.59 ; Summary of computation:
% 115.34/115.59 ; 7367 formulas have been input or derived (from 39 formulas).
% 115.34/115.59 ; 3769 (51%) were retained. Of these,
% 115.34/115.59 ; 142 ( 4%) were simplified or subsumed later,
% 115.34/115.59 ; 3627 (96%) are still being kept.
% 115.34/115.59 ;
% 115.34/115.59 ; Run time in seconds excluding printing time:
% 115.34/115.59 ; 0.001 0% Read assertion file (1 call)
% 115.34/115.59 ; 0.000 0% Assert (3 calls)
% 115.34/115.59 ; 0.775 1% Process new row (7,203 calls)
% 115.34/115.59 ; 0.021 0% Resolution (76 calls)
% 115.34/115.59 ; 0.185 0% Paramodulation (38 calls)
% 115.34/115.59 ; 14.501 13% Forward simplification (6,556 calls)
% 115.34/115.59 ; 5.188 5% Backward simplification (3,768 calls)
% 115.34/115.59 ; 94.365 82% Ordering (9,523,172 calls)
% 115.34/115.59 ; 0.001 0% Sortal reasoning (32 calls)
% 115.34/115.59 ; 0.000 0% Purity testing (1 call)
% 115.34/115.59 ; 0.072 0% Other
% 115.34/115.59 ; 115.109 Total
% 115.34/115.59 ; 115.117 Real time
% 115.34/115.59 ;
% 115.34/115.59 ; Term-hash-array has 12,673 terms in all.
% 115.34/115.59 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 115.34/115.59 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 115.34/115.59 ; Path-index has 12,209 entries (12,210 at peak, 12,831 added, 622 deleted).
% 115.34/115.59 ; Path-index has 2,088 nodes (2,089 at peak, 2,516 added, 428 deleted).
% 115.34/115.59 ; Trie-index has 12,209 entries (12,210 at peak, 12,831 added, 622 deleted).
% 115.34/115.59 ; Trie-index has 65,715 nodes (65,732 at peak, 73,058 added, 7,343 deleted).
% 115.34/115.59 ; Retrieved 2,283,387 generalization terms in 95,173 calls.
% 115.34/115.59 ; Retrieved 1,495,678 instance terms in 11,043 calls.
% 115.34/115.59 ; Retrieved 118,280 unifiable terms in 476 calls.
% 115.34/115.59 ;
% 115.34/115.59 ; The agenda of rows to process has 137 entries:
% 115.34/115.59 ; 2 with value 48 12 with value 56 9 with value 63
% 115.34/115.59 ; 3 with value 49 15 with value 57 1 with value 64
% 115.34/115.59 ; 2 with value 51 14 with value 58 1 with value 66
% 115.34/115.59 ; 3 with value 52 10 with value 59 1 with value 67
% 115.34/115.59 ; 4 with value 53 19 with value 60 1 with value 71
% 115.34/115.59 ; 5 with value 54 19 with value 61 1 with value 72
% 115.34/115.59 ; 7 with value 55 8 with value 62
% 115.34/115.59 ; The agenda of rows to give has 3591 entries:
% 115.34/115.59 ; 2 with value (4 28) 276 with value (4 44) 2 with value (4 60)
% 115.34/115.59 ; 23 with value (4 29) 220 with value (4 45) 1 with value (4 76)
% 115.34/115.59 ; 18 with value (4 30) 108 with value (4 46) 2 with value (4 79)
% 115.34/115.59 ; 44 with value (4 31) 64 with value (4 47) 1 with value (4 80)
% 115.34/115.59 ; 50 with value (4 32) 37 with value (4 48) 3 with value (4 85)
% 115.34/115.59 ; 61 with value (4 33) 29 with value (4 49) 1 with value (4 86)
% 115.34/115.59 ; 110 with value (4 34) 24 with value (4 50) 2 with value (4 87)
% 115.34/115.59 ; 164 with value (4 35) 10 with value (4 51) 1 with value (4 89)
% 115.34/115.59 ; 187 with value (4 36) 18 with value (4 52) 1 with value (4 95)
% 115.34/115.59 ; 188 with value (4 37) 6 with value (4 53) 1 with value (4 96)
% 115.34/115.59 ; 255 with value (4 38) 6 with value (4 54) 1 with value (4 102)
% 115.34/115.59 ; 318 with value (4 39) 4 with value (4 55) 1 with value (4 106)
% 115.34/115.59 ; 369 with value (4 40) 3 with value (4 56) 1 with value (4 109)
% 115.34/115.59 ; 339 with value (4 41) 4 with value (4 57) 1 with value (4 115)
% 115.34/115.59 ; 298 with value (4 42) 2 with value (4 58) 1 with value (4 131)
% 115.34/115.59 ; 334 with value (4 43)
% 115.34/115.59 Evaluation took:
% 115.34/115.59 115.118 seconds of real time
% 115.34/115.59 105.023575 seconds of user run time
% 115.34/115.59 10.08985 seconds of system run time
% 115.34/115.59 [Run times include 6.007 seconds GC run time.]
% 115.34/115.59 0 calls to %EVAL
% 115.34/115.59 0 page faults and
% 115.34/115.59 7,875,976,600 bytes consed.
% 115.34/115.59 :PROOF-FOUND
% 115.34/115.59 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T15:10:38
% 115.34/115.59 :PROOF-FOUND
% 115.34/115.59 *
%------------------------------------------------------------------------------