TSTP Solution File: CAT003-2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT003-2 : 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 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 9 unt; 0 nHn; 13 RR)
% Number of literals : 24 ( 23 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(codomain_domain2,axiom,
( codomain(X) != domain(Y)
| codomain(compose(X,Y)) = codomain(Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',codomain_domain2) ).
cnf(star_property,axiom,
( codomain(X) != domain(Y)
| codomain(Y) != domain(Z)
| compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT002-0.ax',star_property) ).
cnf(endomorphism,hypothesis,
( codomain(compose(a,b)) != domain(X)
| compose(compose(a,b),X) != Y
| codomain(compose(a,b)) != domain(Z)
| compose(compose(a,b),Z) != Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',endomorphism) ).
cnf(codomain_of_a_equals_domain_of_b,hypothesis,
codomain(a) = domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_a_equals_domain_of_b) ).
cnf(codomain_of_b_equals_domain_of_h,hypothesis,
codomain(b) = domain(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_h) ).
cnf(codomain_of_b_equals_domain_of_g,hypothesis,
codomain(b) = domain(g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_of_b_equals_domain_of_g) ).
cnf(bh_equals_bg,hypothesis,
compose(b,h) = compose(b,g),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bh_equals_bg) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(33,plain,
codomain(compose(a,b)) = codomain(b),
inference('HYPERRESOLVE',[status(thm)],[codomain_domain2,codomain_of_a_equals_domain_of_b]) ).
cnf(34,plain,
( codomain(b) != domain(X)
| compose(compose(a,b),X) != Y
| codomain(b) != domain(Z)
| compose(compose(a,b),Z) != Y
| X = Z ),
inference('REWRITE',[status(thm)],[endomorphism,33,theory(equality)]) ).
cnf(40,plain,
compose(a,compose(b,g)) = compose(compose(a,b),h),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[star_property,codomain_of_a_equals_domain_of_b,codomain_of_b_equals_domain_of_h]),bh_equals_bg,theory(equality)]) ).
cnf(41,plain,
compose(compose(a,b),h) = compose(compose(a,b),g),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[star_property,codomain_of_a_equals_domain_of_b,codomain_of_b_equals_domain_of_g]),40,theory(equality)]) ).
cnf(58,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[34,codomain_of_b_equals_domain_of_h,codomain_of_b_equals_domain_of_g,prove_g_equals_h,theory(equality)]),41,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CAT003-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % 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 17:21:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-05-29T17:21:26
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-29T17:21:26
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 140 formulas have been input or derived (from 14 formulas).
% 0.19/0.51 ; 58 (41%) were retained. Of these,
% 0.19/0.51 ; 5 ( 9%) were simplified or subsumed later,
% 0.19/0.51 ; 53 (91%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds excluding printing time:
% 0.19/0.51 ; 0.002 4% Read assertion file (1 call)
% 0.19/0.51 ; 0.001 2% Assert (13 calls)
% 0.19/0.51 ; 0.008 17% Process new row (98 calls)
% 0.19/0.51 ; 0.005 11% Resolution (26 calls)
% 0.19/0.51 ; 0.002 4% Paramodulation (13 calls)
% 0.19/0.51 ; 0.000 0% Condensing (25 calls)
% 0.19/0.51 ; 0.000 0% Forward subsumption (25 calls)
% 0.19/0.51 ; 0.001 2% Backward subsumption (25 calls)
% 0.19/0.51 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.51 ; 0.004 9% Forward simplification (98 calls)
% 0.19/0.51 ; 0.000 0% Backward simplification (58 calls)
% 0.19/0.51 ; 0.002 4% Ordering (108 calls)
% 0.19/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.51 ; 0.000 0% Purity testing (1 call)
% 0.19/0.51 ; 0.022 47% Other
% 0.19/0.51 ; 0.047 Total
% 0.19/0.51 ; 0.049 Real time
% 0.19/0.51 ;
% 0.19/0.51 ; Term-hash-array has 170 terms in all.
% 0.19/0.51 ; Feature-vector-row-index has 24 entries (24 at peak, 25 added, 1 deleted).
% 0.19/0.51 ; Feature-vector-row-index has 218 nodes (218 at peak, 232 added, 14 deleted).
% 0.19/0.51 ; Retrieved 0 possibly forward subsuming rows in 25 calls.
% 0.19/0.51 ; Retrieved 2 possibly backward subsumed rows in 25 calls.
% 0.19/0.51 ; Path-index has 166 entries (166 at peak, 181 added, 15 deleted).
% 0.19/0.51 ; Path-index has 224 nodes (224 at peak, 241 added, 17 deleted).
% 0.19/0.51 ; Trie-index has 166 entries (166 at peak, 181 added, 15 deleted).
% 0.19/0.51 ; Trie-index has 442 nodes (442 at peak, 480 added, 38 deleted).
% 0.19/0.51 ; Retrieved 118 generalization terms in 560 calls.
% 0.19/0.51 ; Retrieved 34 instance terms in 32 calls.
% 0.19/0.51 ; Retrieved 2,279 unifiable terms in 355 calls.
% 0.19/0.51 ;
% 0.19/0.51 ; The agenda of rows to process has 18 entries:
% 0.19/0.51 ; 8 with value 24 2 with value 42 2 with value 46
% 0.19/0.51 ; 6 with value 39
% 0.19/0.51 ; The agenda of rows to give has 39 entries:
% 0.19/0.51 ; 1 with value (4 8) 4 with value (4 14) 4 with value (4 20)
% 0.19/0.51 ; 5 with value (4 10) 3 with value (4 15) 6 with value (4 29)
% 0.19/0.51 ; 4 with value (4 11) 6 with value (4 18) 4 with value (4 32)
% 0.19/0.51 ; 2 with value (4 12)
% 0.19/0.51 Evaluation took:
% 0.19/0.51 0.049 seconds of real time
% 0.19/0.51 0.042962 seconds of user run time
% 0.19/0.51 0.006112 seconds of system run time
% 0.19/0.51 0 calls to %EVAL
% 0.19/0.51 0 page faults and
% 0.19/0.51 3,222,440 bytes consed.
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-29T17:21:26
% 0.19/0.51 :PROOF-FOUND
% 0.19/0.51 *
%------------------------------------------------------------------------------