TSTP Solution File: CAT004-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 0.91s 1.12s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 15 unt; 0 nHn; 21 RR)
% Number of literals : 32 ( 4 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(closure_of_composition,axiom,
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',closure_of_composition) ).
cnf(associative_property1,axiom,
( ~ product(X,Y,Z)
| defined(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property1) ).
cnf(category_theory_axiom3,axiom,
( ~ product(X,Y,Z)
| ~ defined(U,Z)
| defined(U,X) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom5) ).
cnf(cancellation_for_product1,hypothesis,
( ~ product(X,a,Y)
| ~ product(Z,a,Y)
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
cnf(cancellation_for_product2,hypothesis,
( ~ product(X,b,Y)
| ~ product(Z,b,Y)
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2) ).
cnf(ab_equals_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c) ).
cnf(hc_equals_d,hypothesis,
product(h,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hc_equals_d) ).
cnf(gc_equals_d,hypothesis,
product(g,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gc_equals_d) ).
cnf(prove_h_equals_g,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g) ).
cnf(25,plain,
defined(h,c),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,hc_equals_d]) ).
cnf(26,plain,
defined(g,c),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,gc_equals_d]) ).
cnf(58,plain,
defined(h,a),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,25,ab_equals_c]) ).
cnf(64,plain,
defined(g,a),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom3,26,ab_equals_c]) ).
cnf(76,plain,
product(h,a,compose(h,a)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,58]) ).
cnf(79,plain,
product(g,a,compose(g,a)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,64]) ).
cnf(655,plain,
product(compose(h,a),b,d),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom5,76,ab_equals_c,hc_equals_d]) ).
cnf(674,plain,
product(compose(g,a),b,d),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom5,79,ab_equals_c,gc_equals_d]) ).
cnf(675,plain,
~ product(h,a,compose(g,a)),
inference('UR-RESOLVE',[status(thm)],[cancellation_for_product1,79,prove_h_equals_g]) ).
cnf(1924,plain,
compose(g,a) = compose(h,a),
inference('HYPERRESOLVE',[status(thm)],[cancellation_for_product2,674,655]) ).
cnf(1925,plain,
$false,
inference('REWRITE',[status(thm)],[76,675,1924,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : CAT004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun May 29 16:50:10 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:50:11
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T16:50:11
% 0.18/0.47
% 0.18/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.18/0.47 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.91/1.12 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.91/1.12
% 0.91/1.12 #||
% 0.91/1.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.91/1.12 % SZS output start Refutation
% See solution above
% 0.91/1.13 ||#
% 0.91/1.13
% 0.91/1.13 ; Summary of computation:
% 0.91/1.13 ; 17009 formulas have been input or derived (from 233 formulas).
% 0.91/1.13 ; 1925 (11%) were retained. Of these,
% 0.91/1.13 ; 1229 (64%) were simplified or subsumed later,
% 0.91/1.13 ; 696 (36%) are still being kept.
% 0.91/1.13 ;
% 0.91/1.13 ; Run time in seconds excluding printing time:
% 0.91/1.13 ; 0.005 1% Read assertion file (1 call)
% 0.91/1.13 ; 0.001 0% Assert (24 calls)
% 0.91/1.13 ; 0.095 14% Process new row (14,111 calls)
% 0.91/1.13 ; 0.406 61% Resolution (464 calls)
% 0.91/1.13 ; 0.002 0% Paramodulation (232 calls)
% 0.91/1.13 ; 0.003 0% Condensing (14 calls)
% 0.91/1.13 ; 0.000 0% Forward subsumption (14 calls)
% 0.91/1.13 ; 0.000 0% Backward subsumption (14 calls)
% 0.91/1.13 ; 0.000 0% Clause clause subsumption (18 calls)
% 0.91/1.13 ; 0.062 9% Forward simplification (12,491 calls)
% 0.91/1.13 ; 0.036 5% Backward simplification (1,925 calls)
% 0.91/1.13 ; 0.001 0% Ordering (137 calls)
% 0.91/1.13 ; 0.000 0% Sortal reasoning (32 calls)
% 0.91/1.13 ; 0.000 0% Purity testing (1 call)
% 0.91/1.13 ; 0.058 9% Other
% 0.91/1.13 ; 0.669 Total
% 0.91/1.13 ; 0.677 Real time
% 0.91/1.13 ;
% 0.91/1.13 ; Term-hash-array has 2,435 terms in all.
% 0.91/1.13 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.91/1.13 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.91/1.13 ; Retrieved 13 possibly forward subsuming rows in 14 calls.
% 0.91/1.13 ; Retrieved 5 possibly backward subsumed rows in 14 calls.
% 0.91/1.13 ; Path-index has 962 entries (1,879 at peak, 2,442 added, 1,480 deleted).
% 0.91/1.13 ; Path-index has 1,239 nodes (1,606 at peak, 1,900 added, 661 deleted).
% 0.91/1.13 ; Trie-index has 962 entries (1,879 at peak, 2,442 added, 1,480 deleted).
% 0.91/1.13 ; Trie-index has 2,625 nodes (4,411 at peak, 5,777 added, 3,152 deleted).
% 0.91/1.13 ; Retrieved 19,282 generalization terms in 21,672 calls.
% 0.91/1.13 ; Retrieved 2,090 instance terms in 1,910 calls.
% 0.91/1.13 ; Retrieved 431,953 unifiable terms in 43,268 calls.
% 0.91/1.13 ;
% 0.91/1.13 ; The agenda of backward simplifiable rows to process has 58 entries:
% 0.91/1.13 ; 58 with value 0
% 0.91/1.13 ; The agenda of rows to process has 51 entries:
% 0.91/1.13 ; 17 with value 14 4 with value 16 16 with value 17
% 0.91/1.13 ; 14 with value 15
% 0.91/1.13 ; The agenda of rows to give has 580 entries:
% 0.91/1.13 ; 5 with value (4 12) 68 with value (4 16) 128 with value (4 19)
% 0.91/1.13 ; 28 with value (4 13) 122 with value (4 17) 18 with value (4 20)
% 0.91/1.13 ; 56 with value (4 14) 69 with value (4 18) 18 with value (4 21)
% 0.91/1.13 ; 68 with value (4 15)
% 0.91/1.13 Evaluation took:
% 0.91/1.13 0.678 seconds of real time
% 0.91/1.13 0.614718 seconds of user run time
% 0.91/1.13 0.063173 seconds of system run time
% 0.91/1.13 [Run times include 0.027 seconds GC run time.]
% 0.91/1.13 0 calls to %EVAL
% 0.91/1.13 0 page faults and
% 0.91/1.13 51,003,248 bytes consed.
% 0.91/1.13 :PROOF-FOUND
% 0.91/1.13 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T16:50:11
% 0.91/1.13 :PROOF-FOUND
% 0.91/1.13 *
%------------------------------------------------------------------------------