TSTP Solution File: CAT003-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT003-1 : TPTP v8.1.0. Released v1.0.0.
% 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 00:07:06 EDT 2022
% Result : Unsatisfiable 1.04s 1.22s
% Output : Refutation 1.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 41 ( 2 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_composition,axiom,
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(associative_property1,axiom,
( ~ product(X,Y,Z)
| defined(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(category_theory_axiom1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ defined(Z,U)
| defined(X,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom1) ).
cnf(category_theory_axiom2,axiom,
( ~ product(X,Y,Z)
| ~ product(Z,U,V)
| ~ product(Y,U,W)
| product(X,W,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
cnf(category_theory_axiom3,axiom,
( ~ product(X,Y,Z)
| ~ defined(U,Z)
| defined(U,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom3) ).
cnf(category_theory_axiom5,axiom,
( ~ product(X,Y,Z)
| ~ product(U,Z,V)
| ~ product(U,X,W)
| product(W,Y,V) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom5) ).
cnf(category_theory_axiom6,axiom,
( ~ defined(X,Y)
| ~ defined(Y,Z)
| ~ identity_map(Y)
| defined(X,Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',category_theory_axiom6) ).
cnf(codomain_is_an_identity_map,axiom,
identity_map(codomain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',codomain_is_an_identity_map) ).
cnf(product_on_codomain,axiom,
product(codomain(X),X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).
cnf(ab_equals_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_equals_c) ).
cnf(cancellation_for_product,hypothesis,
( ~ product(X,c,Y)
| ~ product(Z,c,Y)
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cancellation_for_product) ).
cnf(ha_equals_d,hypothesis,
product(h,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_d) ).
cnf(ga_equals_d,hypothesis,
product(g,a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ga_equals_d) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_h_equals_g) ).
cnf(24,plain,
defined(h,a),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,ha_equals_d]) ).
cnf(26,plain,
defined(a,b),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,ab_equals_c]) ).
cnf(60,plain,
defined(h,codomain(a)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,24,product_on_codomain]) ).
cnf(66,plain,
defined(codomain(a),c),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom1,26,product_on_codomain,ab_equals_c]) ).
cnf(148,plain,
defined(h,c),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom6,66,60,codomain_is_an_identity_map]) ).
cnf(155,plain,
product(h,c,compose(h,c)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,148]) ).
cnf(1102,plain,
product(d,b,compose(h,c)),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom5,155,ab_equals_c,ha_equals_d]) ).
cnf(1103,plain,
~ product(g,c,compose(h,c)),
inference('UR-RESOLVE',[status(thm)],[cancellation_for_product,155,prove_h_equals_g]) ).
cnf(2016,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom2,1102,ga_equals_d,ab_equals_c]),1103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : CAT003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 19:29:39 EDT 2022
% 0.13/0.34 % 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 2022-05-29T19:29:40
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-29T19:29:40
% 0.19/0.48
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.19/0.48 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 1.04/1.22 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 1.04/1.22
% 1.04/1.22 #||
% 1.04/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.22 % SZS output start Refutation
% See solution above
% 1.04/1.22 ||#
% 1.04/1.22
% 1.04/1.22 ; Summary of computation:
% 1.04/1.22 ; 18585 formulas have been input or derived (from 244 formulas).
% 1.04/1.22 ; 2016 (11%) were retained. Of these,
% 1.04/1.22 ; 1904 (94%) were simplified or subsumed later,
% 1.04/1.22 ; 112 ( 6%) are still being kept.
% 1.04/1.22 ;
% 1.04/1.22 ; Run time in seconds excluding printing time:
% 1.04/1.22 ; 0.005 1% Read assertion file (1 call)
% 1.04/1.22 ; 0.001 0% Assert (23 calls)
% 1.04/1.22 ; 0.102 14% Process new row (15,660 calls)
% 1.04/1.22 ; 0.434 58% Resolution (486 calls)
% 1.04/1.22 ; 0.004 1% Paramodulation (243 calls)
% 1.04/1.22 ; 0.000 0% Condensing (13 calls)
% 1.04/1.22 ; 0.000 0% Forward subsumption (13 calls)
% 1.04/1.22 ; 0.000 0% Backward subsumption (13 calls)
% 1.04/1.22 ; 0.000 0% Clause clause subsumption (17 calls)
% 1.04/1.22 ; 0.070 9% Forward simplification (13,377 calls)
% 1.04/1.22 ; 0.059 8% Backward simplification (2,016 calls)
% 1.04/1.22 ; 0.001 0% Ordering (211 calls)
% 1.04/1.22 ; 0.000 0% Sortal reasoning (32 calls)
% 1.04/1.22 ; 0.000 0% Purity testing (1 call)
% 1.04/1.22 ; 0.072 10% Other
% 1.04/1.22 ; 0.748 Total
% 1.04/1.22 ; 0.749 Real time
% 1.04/1.22 ;
% 1.04/1.22 ; Term-hash-array has 2,566 terms in all.
% 1.04/1.22 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 1.04/1.22 ; Feature-vector-row-index has 20 nodes (20 at peak, 20 added, 0 deleted).
% 1.04/1.22 ; Retrieved 12 possibly forward subsuming rows in 13 calls.
% 1.04/1.22 ; Retrieved 5 possibly backward subsumed rows in 13 calls.
% 1.04/1.22 ; Path-index has 177 entries (2,002 at peak, 2,573 added, 2,396 deleted).
% 1.04/1.22 ; Path-index has 700 nodes (1,737 at peak, 2,013 added, 1,313 deleted).
% 1.04/1.22 ; Trie-index has 177 entries (2,002 at peak, 2,573 added, 2,396 deleted).
% 1.04/1.22 ; Trie-index has 424 nodes (4,716 at peak, 6,170 added, 5,746 deleted).
% 1.04/1.22 ; Retrieved 20,952 generalization terms in 24,675 calls.
% 1.04/1.22 ; Retrieved 2,245 instance terms in 2,002 calls.
% 1.04/1.22 ; Retrieved 446,639 unifiable terms in 44,825 calls.
% 1.04/1.22 ;
% 1.04/1.22 ; The agenda of rows to process has 37 entries:
% 1.04/1.22 ; 9 with value 14 12 with value 15 16 with value 17
% 1.04/1.22 ; The agenda of rows to give has 34 entries:
% 1.04/1.22 ; 5 with value (4 13) 5 with value (4 15) 2 with value (4 17)
% 1.04/1.22 ; 14 with value (4 14) 6 with value (4 16) 2 with value (4 21)
% 1.04/1.22 Evaluation took:
% 1.04/1.22 0.749 seconds of real time
% 1.04/1.22 0.688271 seconds of user run time
% 1.04/1.22 0.061211 seconds of system run time
% 1.04/1.22 [Run times include 0.034 seconds GC run time.]
% 1.04/1.22 0 calls to %EVAL
% 1.04/1.22 0 page faults and
% 1.04/1.22 58,150,696 bytes consed.
% 1.04/1.22 :PROOF-FOUND
% 1.04/1.22 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-29T19:29:40
% 1.04/1.22 :PROOF-FOUND
% 1.04/1.22 *
%------------------------------------------------------------------------------