TSTP Solution File: COL001-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 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 00:41:33 EDT 2022
% Result : Unsatisfiable 0.47s 0.68s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(s_definition,axiom,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_definition) ).
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(i_definition,axiom,
apply(i,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_definition) ).
cnf(prove_fixed_point,negated_conjecture,
X != apply(combinator,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_fixed_point) ).
cnf(9,plain,
apply(X,Y) != apply(apply(apply(b,combinator),X),Y),
inference('PARAMODULATE',[status(thm)],[prove_fixed_point,b_definition,theory(equality)]) ).
cnf(20,plain,
apply(apply(apply(s,i),X),Y) = apply(Y,apply(X,Y)),
inference('PARAMODULATE',[status(thm)],[s_definition,i_definition,theory(equality)]) ).
cnf(100,plain,
apply(apply(apply(s,i),i),X) = apply(X,X),
inference('PARAMODULATE',[status(thm)],[20,i_definition,theory(equality)]) ).
cnf(161,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[9,100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL001-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % 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 10:44:23 EDT 2022
% 0.19/0.34 % 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 2022-05-31T10:44:24
% 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 2022-05-31T10:44:24
% 0.19/0.48
% 0.47/0.68 ; Recognized left identity assertion (= (|apply| |i| ?X) ?X).
% 0.47/0.68
% 0.47/0.68 #||
% 0.47/0.68 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.68 % SZS output start Refutation
% See solution above
% 0.47/0.68 ||#
% 0.47/0.68
% 0.47/0.68 ; Summary of computation:
% 0.47/0.68 ; 299 formulas have been input or derived (from 17 formulas).
% 0.47/0.68 ; 161 (54%) were retained. Of these,
% 0.47/0.68 ; 18 (11%) were simplified or subsumed later,
% 0.47/0.68 ; 143 (89%) are still being kept.
% 0.47/0.68 ;
% 0.47/0.68 ; Run time in seconds excluding printing time:
% 0.47/0.68 ; 0.002 1% Read assertion file (1 call)
% 0.47/0.68 ; 0.001 0% Assert (6 calls)
% 0.47/0.68 ; 0.023 11% Process new row (247 calls)
% 0.47/0.68 ; 0.004 2% Resolution (32 calls)
% 0.47/0.68 ; 0.005 2% Paramodulation (16 calls)
% 0.47/0.68 ; 0.032 16% Forward simplification (243 calls)
% 0.47/0.68 ; 0.020 10% Backward simplification (160 calls)
% 0.47/0.68 ; 0.097 47% Ordering (8,593 calls)
% 0.47/0.68 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.68 ; 0.000 0% Purity testing (1 call)
% 0.47/0.68 ; 0.022 11% Other
% 0.47/0.68 ; 0.206 Total
% 0.47/0.68 ; 0.208 Real time
% 0.47/0.68 ;
% 0.47/0.68 ; Term-hash-array has 657 terms in all.
% 0.47/0.68 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.47/0.68 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.47/0.68 ; Path-index has 624 entries (624 at peak, 702 added, 78 deleted).
% 0.47/0.68 ; Path-index has 467 nodes (467 at peak, 562 added, 95 deleted).
% 0.47/0.68 ; Trie-index has 624 entries (624 at peak, 702 added, 78 deleted).
% 0.47/0.68 ; Trie-index has 3,087 nodes (3,087 at peak, 4,008 added, 921 deleted).
% 0.47/0.68 ; Retrieved 8,491 generalization terms in 2,344 calls.
% 0.47/0.68 ; Retrieved 2,465 instance terms in 316 calls.
% 0.47/0.68 ; Retrieved 2,143 unifiable terms in 150 calls.
% 0.47/0.68 ;
% 0.47/0.68 ; The agenda of rows to process has 50 entries:
% 0.47/0.68 ; 1 with value 12 2 with value 22 3 with value 28
% 0.47/0.68 ; 2 with value 15 5 with value 23 2 with value 29
% 0.47/0.68 ; 2 with value 16 4 with value 24 1 with value 33
% 0.47/0.68 ; 1 with value 17 8 with value 25 2 with value 35
% 0.47/0.68 ; 1 with value 18 6 with value 26 1 with value 47
% 0.47/0.68 ; 1 with value 19 6 with value 27 1 with value 51
% 0.47/0.68 ; 1 with value 21
% 0.47/0.68 ; The agenda of rows to give has 127 entries:
% 0.47/0.68 ; 1 with value (4 18) 11 with value (4 27) 1 with value (4 44)
% 0.47/0.68 ; 3 with value (4 19) 11 with value (4 28) 2 with value (4 45)
% 0.47/0.68 ; 5 with value (4 20) 10 with value (4 29) 1 with value (4 46)
% 0.47/0.68 ; 4 with value (4 21) 6 with value (4 30) 1 with value (4 47)
% 0.47/0.68 ; 9 with value (4 22) 2 with value (4 31) 1 with value (4 50)
% 0.47/0.68 ; 8 with value (4 23) 2 with value (4 32) 1 with value (4 51)
% 0.47/0.68 ; 11 with value (4 24) 1 with value (4 33) 1 with value (4 52)
% 0.47/0.68 ; 17 with value (4 25) 1 with value (4 36) 1 with value (4 54)
% 0.47/0.68 ; 14 with value (4 26) 1 with value (4 42) 1 with value (4 57)
% 0.47/0.68 Evaluation took:
% 0.47/0.68 0.209 seconds of real time
% 0.47/0.68 0.187548 seconds of user run time
% 0.47/0.68 0.020643 seconds of system run time
% 0.47/0.68 0 calls to %EVAL
% 0.47/0.68 0 page faults and
% 0.47/0.68 10,128,176 bytes consed.
% 0.47/0.68 :PROOF-FOUND
% 0.47/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-31T10:44:24
% 0.47/0.68 :PROOF-FOUND
% 0.47/0.68 *
%------------------------------------------------------------------------------