%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT003-3 : 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 00:07:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_compose,axiom,
compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',associativity_of_compose) ).
cnf(epimorphism,hypothesis,
( compose(X,compose(a,b)) != Y
| compose(Z,compose(a,b)) != Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',epimorphism) ).
cnf(ha_equals_ga,hypothesis,
compose(h,a) = compose(g,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ha_equals_ga) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(48,plain,
compose(h,compose(a,X)) = compose(compose(g,a),X),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,ha_equals_ga,theory(equality)]) ).
cnf(70,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[epimorphism,associativity_of_compose,prove_g_equals_h]),48,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : CAT003-3 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % 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 : Sun May 29 16:42:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 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/sandbox/benchmark/theBenchmark.p 2022-05-29T16:42:24
% 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 2022-05-29T16:42:24
% 0.19/0.47
% 0.19/0.50 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 157 formulas have been input or derived (from 22 formulas).
% 0.19/0.50 ; 70 (45%) were retained. Of these,
% 0.19/0.50 ; 1 ( 1%) were simplified or subsumed later,
% 0.19/0.50 ; 69 (99%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.005 11% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (22 calls)
% 0.19/0.50 ; 0.008 17% Process new row (107 calls)
% 0.19/0.50 ; 0.002 4% Resolution (42 calls)
% 0.19/0.50 ; 0.002 4% Paramodulation (21 calls)
% 0.19/0.50 ; 0.000 0% Factoring (2 calls)
% 0.19/0.50 ; 0.001 2% Condensing (44 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (44 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (40 calls)
% 0.19/0.50 ; 0.001 2% Clause clause subsumption (65 calls)
% 0.19/0.50 ; 0.001 2% Forward simplification (107 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (70 calls)
% 0.19/0.50 ; 0.002 4% Ordering (247 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.024 52% Other
% 0.19/0.50 ; 0.046 Total
% 0.19/0.50 ; 0.047 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 137 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 40 entries (40 at peak, 40 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 129 nodes (129 at peak, 129 added, 0 deleted).
% 0.19/0.50 ; Retrieved 53 possibly forward subsuming rows in 44 calls.
% 0.19/0.50 ; Retrieved 12 possibly backward subsumed rows in 40 calls.
% 0.19/0.50 ; Path-index has 140 entries (140 at peak, 141 added, 1 deleted).
% 0.19/0.50 ; Path-index has 331 nodes (331 at peak, 332 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 140 entries (140 at peak, 141 added, 1 deleted).
% 0.19/0.50 ; Trie-index has 380 nodes (380 at peak, 381 added, 1 deleted).
% 0.19/0.50 ; Retrieved 95 generalization terms in 267 calls.
% 0.19/0.50 ; Retrieved 44 instance terms in 43 calls.
% 0.19/0.50 ; Retrieved 1,322 unifiable terms in 184 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 28 entries:
% 0.19/0.50 ; 3 with value 15 2 with value 25 2 with value 31
% 0.19/0.50 ; 4 with value 16 2 with value 27 2 with value 61
% 0.19/0.50 ; 11 with value 24 2 with value 28
% 0.19/0.50 ; The agenda of rows to give has 47 entries:
% 0.19/0.50 ; 3 with value (4 5) 2 with value (4 11) 2 with value (4 18)
% 0.19/0.50 ; 2 with value (4 6) 2 with value (4 12) 4 with value (4 19)
% 0.19/0.50 ; 2 with value (4 7) 2 with value (4 13) 7 with value (4 20)
% 0.19/0.50 ; 1 with value (4 8) 4 with value (4 14) 2 with value (4 30)
% 0.19/0.50 ; 2 with value (4 9) 9 with value (4 15) 2 with value (4 34)
% 0.19/0.50 ; 1 with value (4 10)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.048 seconds of real time
% 0.19/0.50 0.040606 seconds of user run time
% 0.19/0.50 0.00764 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,456,744 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:42:24
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------