TSTP Solution File: COL039-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 00:41:39 EDT 2022
% Result : Unsatisfiable 49.69s 49.90s
% Output : Refutation 49.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 11 unt; 0 nHn; 4 RR)
% Number of literals : 11 ( 10 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_definition,axiom,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_definition) ).
cnf(m_definition,axiom,
apply(m,X) = apply(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_definition) ).
cnf(o_definition,axiom,
apply(apply(o,X),Y) = apply(Y,apply(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',o_definition) ).
cnf(prove_fixed_point,negated_conjecture,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(5,plain,
apply(X,f(X)) != apply(apply(o,X),f(X)),
inference('REWRITE',[status(thm)],[prove_fixed_point,o_definition,theory(equality)]) ).
cnf(15,plain,
apply(apply(apply(b,X),m),Y) = apply(X,apply(Y,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,m_definition,theory(equality)]) ).
cnf(21,plain,
apply(apply(apply(apply(b,o),X),Y),Z) = apply(Z,apply(apply(X,Y),Z)),
inference('PARAMODULATE',[status(thm)],[o_definition,b_definition,theory(equality)]) ).
cnf(58,plain,
apply(X,apply(Y,Y)) = apply(X,apply(m,Y)),
inference('PARAMODULATE',[status(thm)],[b_definition,15,theory(equality)]) ).
cnf(91,plain,
apply(apply(X,X),f(apply(X,X))) != apply(apply(o,apply(m,X)),f(apply(X,X))),
inference('PARAMODULATE',[status(thm)],[5,58,theory(equality)]) ).
cnf(1335,plain,
apply(apply(o,apply(X,Y)),Z) = apply(apply(apply(apply(b,o),X),Y),Z),
inference('PARAMODULATE',[status(thm)],[o_definition,21,theory(equality)]) ).
cnf(8873,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[91,1335]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n024.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 11:56:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-05-31T11:56:21
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-31T11:56:21
% 49.69/49.90
% 49.69/49.90
% 49.69/49.90 #||
% 49.69/49.90 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 49.69/49.90 % SZS output start Refutation
% See solution above
% 49.69/49.90 ||#
% 49.69/49.90
% 49.69/49.90 ; Summary of computation:
% 49.69/49.90 ; 36271 formulas have been input or derived (from 110 formulas).
% 49.69/49.90 ; 8873 (24%) were retained. Of these,
% 49.69/49.90 ; 1894 (21%) were simplified or subsumed later,
% 49.69/49.90 ; 6979 (79%) are still being kept.
% 49.69/49.90 ;
% 49.69/49.90 ; Run time in seconds:
% 49.69/49.90 ; 0.001 0% Read assertion file (1 call)
% 49.69/49.90 ; 0.000 0% Assert (4 calls)
% 49.69/49.90 ; 1.690 3% Process new row (35,928 calls)
% 49.69/49.90 ; 0.051 0% Resolution (218 calls)
% 49.69/49.90 ; 0.975 2% Paramodulation (109 calls)
% 49.69/49.90 ; 16.249 33% Forward simplification (35,457 calls)
% 49.69/49.90 ; 3.766 8% Backward simplification (8,872 calls)
% 49.69/49.90 ; 26.471 54% Ordering (3,149,872 calls)
% 49.69/49.90 ; 0.000 0% Sortal reasoning (32 calls)
% 49.69/49.90 ; 0.000 0% Purity testing (1 call)
% 49.69/49.90 ; 0.219 0% Other
% 49.69/49.90 ; 49.422 Total
% 49.69/49.90 ; 49.428 Real time
% 49.73/49.90 ;
% 49.73/49.90 ; Term-hash-array has 29,649 terms in all.
% 49.73/49.90 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 49.73/49.90 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 49.73/49.90 ; Path-index has 24,339 entries (24,339 at peak, 30,291 added, 5,952 deleted).
% 49.73/49.90 ; Path-index has 2,236 nodes (2,236 at peak, 2,363 added, 127 deleted).
% 49.73/49.90 ; Trie-index has 24,339 entries (24,339 at peak, 30,291 added, 5,952 deleted).
% 49.73/49.90 ; Trie-index has 136,626 nodes (136,626 at peak, 169,668 added, 33,042 deleted).
% 49.73/49.90 ; Retrieved 7,680,831 generalization terms in 619,225 calls.
% 49.73/49.90 ; Retrieved 973,023 instance terms in 22,557 calls.
% 49.73/49.90 ; Retrieved 440,403 unifiable terms in 1,138 calls.
% 49.73/49.90 ;
% 49.73/49.90 ; The agenda of rows to process has 212 entries:
% 49.73/49.90 ; 7 with value 27 3 with value 55 3 with value 72
% 49.73/49.90 ; 1 with value 28 2 with value 56 2 with value 73
% 49.73/49.90 ; 3 with value 30 35 with value 57 2 with value 74
% 49.73/49.90 ; 4 with value 31 13 with value 58 5 with value 76
% 49.73/49.90 ; 1 with value 36 11 with value 59 1 with value 77
% 49.73/49.90 ; 1 with value 37 11 with value 60 1 with value 79
% 49.73/49.90 ; 2 with value 41 2 with value 62 1 with value 83
% 49.73/49.90 ; 10 with value 42 2 with value 63 6 with value 85
% 49.73/49.90 ; 6 with value 43 4 with value 64 2 with value 86
% 49.73/49.90 ; 5 with value 44 12 with value 65 4 with value 89
% 49.73/49.90 ; 5 with value 45 5 with value 66 1 with value 90
% 49.73/49.90 ; 2 with value 47 5 with value 67 1 with value 95
% 49.73/49.90 ; 1 with value 48 1 with value 68 1 with value 100
% 49.73/49.90 ; 2 with value 49 2 with value 69 1 with value 101
% 49.73/49.90 ; 6 with value 50 6 with value 70 1 with value 103
% 49.73/49.90 ; 3 with value 52 3 with value 71 3 with value 104
% 49.73/49.90 ; 1 with value 53
% 49.73/49.90 ; The agenda of rows to give has 6880 entries:
% 49.73/49.90 ; 22 with value (4 26) 297 with value (4 42) 4 with value (4 58)
% 49.73/49.90 ; 66 with value (4 27) 240 with value (4 43) 2 with value (4 59)
% 49.73/49.90 ; 65 with value (4 28) 260 with value (4 44) 3 with value (4 60)
% 49.73/49.90 ; 92 with value (4 29) 167 with value (4 45) 3 with value (4 61)
% 49.73/49.90 ; 101 with value (4 30) 146 with value (4 46) 2 with value (4 62)
% 49.73/49.90 ; 193 with value (4 31) 79 with value (4 47) 5 with value (4 63)
% 49.73/49.90 ; 180 with value (4 32) 53 with value (4 48) 5 with value (4 64)
% 49.73/49.90 ; 306 with value (4 33) 46 with value (4 49) 3 with value (4 65)
% 49.73/49.90 ; 361 with value (4 34) 46 with value (4 50) 4 with value (4 68)
% 49.73/49.90 ; 412 with value (4 35) 20 with value (4 51) 3 with value (4 69)
% 49.73/49.90 ; 550 with value (4 36) 18 with value (4 52) 1 with value (4 74)
% 49.73/49.90 ; 681 with value (4 37) 13 with value (4 53) 1 with value (4 76)
% 49.73/49.90 ; 684 with value (4 38) 19 with value (4 54) 1 with value (4 79)
% 49.73/49.90 ; 693 with value (4 39) 7 with value (4 55) 2 with value (4 80)
% 49.73/49.90 ; 577 with value (4 40) 7 with value (4 56) 1 with value (4 88)
% 49.73/49.90 ; 434 with value (4 41) 5 with value (4 57)
% 49.73/49.90 Evaluation took:
% 49.73/49.90 49.43 seconds of real time
% 49.73/49.90 45.32025 seconds of user run time
% 49.73/49.90 4.103442 seconds of system run time
% 49.73/49.90 [Run times include 5.052 seconds GC run time.]
% 49.73/49.90 0 calls to %EVAL
% 49.73/49.90 0 page faults and
% 49.73/49.90 2,990,363,448 bytes consed.
% 49.73/49.90 :PROOF-FOUND
% 49.73/49.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-31T11:57:10
% 49.73/49.90 :PROOF-FOUND
% 49.73/49.90 *
%------------------------------------------------------------------------------