TSTP Solution File: CAT002-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 00:07:05 EDT 2022
% Result : Unsatisfiable 0.98s 1.17s
% Output : Refutation 0.98s
% 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(associative_property2,axiom,
( ~ product(X,Y,Z)
| ~ defined(Z,U)
| defined(Y,U) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',associative_property2) ).
cnf(category_theory_axiom2,axiom,
( ~ product(X,Y,Z)
| ~ product(Z,U,V)
| ~ product(Y,U,W)
| product(X,W,V) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',category_theory_axiom2) ).
cnf(cancellation_for_product1,hypothesis,
( ~ product(a,X,Y)
| ~ product(a,Z,Y)
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1) ).
cnf(cancellation_for_product2,hypothesis,
( ~ product(b,X,Y)
| ~ product(b,Z,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(ch_equals_d,hypothesis,
product(c,h,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ch_equals_d) ).
cnf(cg_equals_d,hypothesis,
product(c,g,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cg_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(c,h),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,ch_equals_d]) ).
cnf(26,plain,
defined(c,g),
inference('HYPERRESOLVE',[status(thm)],[associative_property1,cg_equals_d]) ).
cnf(58,plain,
defined(b,h),
inference('HYPERRESOLVE',[status(thm)],[associative_property2,25,ab_equals_c]) ).
cnf(64,plain,
defined(b,g),
inference('HYPERRESOLVE',[status(thm)],[associative_property2,26,ab_equals_c]) ).
cnf(76,plain,
product(b,h,compose(b,h)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,58]) ).
cnf(79,plain,
product(b,g,compose(b,g)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_composition,64]) ).
cnf(667,plain,
product(a,compose(b,h),d),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom2,76,ab_equals_c,ch_equals_d]) ).
cnf(686,plain,
product(a,compose(b,g),d),
inference('HYPERRESOLVE',[status(thm)],[category_theory_axiom2,79,ab_equals_c,cg_equals_d]) ).
cnf(689,plain,
~ product(b,h,compose(b,g)),
inference('UR-RESOLVE',[status(thm)],[cancellation_for_product2,79,prove_h_equals_g]) ).
cnf(1946,plain,
compose(b,g) = compose(b,h),
inference('HYPERRESOLVE',[status(thm)],[cancellation_for_product1,686,667]) ).
cnf(1947,plain,
$false,
inference('REWRITE',[status(thm)],[76,689,1946,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CAT002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n021.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 : Sun May 29 15:43:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:43:28
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-05-29T15:43:28
% 0.20/0.50
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Z ?U ?V)) (NOT (|product| ?Y ?U ?W)) (|product| ?X ?W ?V)).
% 0.20/0.50 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?U ?Z ?V)) (NOT (|product| ?U ?X ?W)) (|product| ?W ?Y ?V)).
% 0.98/1.17 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.98/1.17
% 0.98/1.17 #||
% 0.98/1.17 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.98/1.17 % SZS output start Refutation
% See solution above
% 0.98/1.18 ||#
% 0.98/1.18
% 0.98/1.18 ; Summary of computation:
% 0.98/1.18 ; 17003 formulas have been input or derived (from 234 formulas).
% 0.98/1.18 ; 1947 (11%) were retained. Of these,
% 0.98/1.18 ; 1263 (65%) were simplified or subsumed later,
% 0.98/1.18 ; 684 (35%) are still being kept.
% 0.98/1.18 ;
% 0.98/1.18 ; Run time in seconds excluding printing time:
% 0.98/1.18 ; 0.005 1% Read assertion file (1 call)
% 0.98/1.18 ; 0.001 0% Assert (24 calls)
% 0.98/1.18 ; 0.107 16% Process new row (14,104 calls)
% 0.98/1.18 ; 0.392 57% Resolution (466 calls)
% 0.98/1.18 ; 0.005 1% Paramodulation (233 calls)
% 0.98/1.18 ; 0.000 0% Condensing (14 calls)
% 0.98/1.18 ; 0.001 0% Forward subsumption (14 calls)
% 0.98/1.18 ; 0.000 0% Backward subsumption (14 calls)
% 0.98/1.18 ; 0.000 0% Clause clause subsumption (18 calls)
% 0.98/1.18 ; 0.065 9% Forward simplification (12,672 calls)
% 0.98/1.18 ; 0.041 6% Backward simplification (1,947 calls)
% 0.98/1.18 ; 0.000 0% Ordering (153 calls)
% 0.98/1.18 ; 0.000 0% Sortal reasoning (32 calls)
% 0.98/1.18 ; 0.000 0% Purity testing (1 call)
% 0.98/1.18 ; 0.072 10% Other
% 0.98/1.18 ; 0.689 Total
% 0.98/1.18 ; 0.698 Real time
% 0.98/1.18 ;
% 0.98/1.18 ; Term-hash-array has 2,461 terms in all.
% 0.98/1.18 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.98/1.18 ; Feature-vector-row-index has 22 nodes (22 at peak, 22 added, 0 deleted).
% 0.98/1.18 ; Retrieved 13 possibly forward subsuming rows in 14 calls.
% 0.98/1.18 ; Retrieved 5 possibly backward subsumed rows in 14 calls.
% 0.98/1.18 ; Path-index has 949 entries (1,881 at peak, 2,471 added, 1,522 deleted).
% 0.98/1.18 ; Path-index has 1,234 nodes (1,613 at peak, 1,926 added, 692 deleted).
% 0.98/1.18 ; Trie-index has 949 entries (1,881 at peak, 2,471 added, 1,522 deleted).
% 0.98/1.18 ; Trie-index has 2,632 nodes (4,438 at peak, 5,841 added, 3,209 deleted).
% 0.98/1.18 ; Retrieved 19,491 generalization terms in 21,139 calls.
% 0.98/1.18 ; Retrieved 2,113 instance terms in 1,932 calls.
% 0.98/1.18 ; Retrieved 431,400 unifiable terms in 43,065 calls.
% 0.98/1.18 ;
% 0.98/1.18 ; The agenda of backward simplifiable rows to process has 58 entries:
% 0.98/1.18 ; 58 with value 0
% 0.98/1.18 ; The agenda of rows to process has 51 entries:
% 0.98/1.18 ; 17 with value 14 4 with value 16 16 with value 17
% 0.98/1.18 ; 14 with value 15
% 0.98/1.18 ; The agenda of rows to give has 569 entries:
% 0.98/1.18 ; 6 with value (4 12) 69 with value (4 16) 124 with value (4 19)
% 0.98/1.18 ; 28 with value (4 13) 116 with value (4 17) 17 with value (4 20)
% 0.98/1.18 ; 56 with value (4 14) 69 with value (4 18) 18 with value (4 21)
% 0.98/1.18 ; 66 with value (4 15)
% 0.98/1.18 Evaluation took:
% 0.98/1.18 0.699 seconds of real time
% 0.98/1.18 0.636622 seconds of user run time
% 0.98/1.18 0.061776 seconds of system run time
% 0.98/1.18 [Run times include 0.037 seconds GC run time.]
% 0.98/1.18 0 calls to %EVAL
% 0.98/1.18 0 page faults and
% 0.98/1.18 51,048,208 bytes consed.
% 0.98/1.18 :PROOF-FOUND
% 0.98/1.18 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T15:43:28
% 0.98/1.18 :PROOF-FOUND
% 0.98/1.18 *
%------------------------------------------------------------------------------