TSTP Solution File: GRP039-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP039-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 : Sat Jul 16 11:35:24 EDT 2022
% Result : Unsatisfiable 3.56s 3.74s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 16 unt; 5 nHn; 20 RR)
% Number of literals : 42 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(right_identity,axiom,
product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(left_inverse,axiom,
product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(associativity1,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(Z,U,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity1) ).
cnf(associativity2,axiom,
( ~ product(X,Y,Z)
| ~ product(Y,U,V)
| ~ product(X,V,W)
| product(Z,U,W) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',associativity2) ).
cnf(closure_of_inverse,axiom,
( ~ subgroup_member(X)
| subgroup_member(inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-1.ax',closure_of_inverse) ).
cnf(closure_of_product,axiom,
( ~ subgroup_member(X)
| ~ subgroup_member(Y)
| ~ product(X,Y,Z)
| subgroup_member(Z) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-1.ax',closure_of_product) ).
cnf(an_element_in_O2,axiom,
( subgroup_member(element_in_O2(X,Y))
| subgroup_member(Y)
| subgroup_member(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
cnf(property_of_O2,axiom,
( product(X,element_in_O2(X,Y),Y)
| subgroup_member(Y)
| subgroup_member(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
cnf(b_is_in_subgroup,negated_conjecture,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(b_times_a_inverse_is_c,negated_conjecture,
product(b,inverse(a),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
cnf(a_times_c_is_d,negated_conjecture,
product(a,c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
cnf(prove_d_is_in_subgroup,negated_conjecture,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_is_in_subgroup) ).
cnf(17,plain,
subgroup_member(inverse(b)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_inverse,b_is_in_subgroup]) ).
cnf(45,plain,
product(inverse(a),d,c),
inference('HYPERRESOLVE',[status(thm)],[associativity1,left_inverse,a_times_c_is_d,left_identity]) ).
cnf(116,plain,
product(c,a,b),
inference('HYPERRESOLVE',[status(thm)],[associativity2,b_times_a_inverse_is_c,left_inverse,right_identity]) ).
cnf(175,plain,
subgroup_member(identity),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product,17,b_is_in_subgroup,left_inverse]) ).
cnf(195,plain,
product(inverse(c),b,a),
inference('HYPERRESOLVE',[status(thm)],[associativity1,116,left_inverse,left_identity]) ).
cnf(268,plain,
( subgroup_member(a)
| product(identity,element_in_O2(a,d),c) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[associativity2,45,left_inverse,property_of_O2]),prove_d_is_in_subgroup]) ).
cnf(9789,plain,
( subgroup_member(a)
| subgroup_member(c) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[closure_of_product,268,175,an_element_in_O2]),prove_d_is_in_subgroup]) ).
cnf(9824,plain,
( subgroup_member(a)
| subgroup_member(inverse(c)) ),
inference('HYPERRESOLVE',[status(thm)],[closure_of_inverse,9789]) ).
cnf(9866,plain,
subgroup_member(a),
inference('HYPERRESOLVE',[status(thm)],[closure_of_product,9824,b_is_in_subgroup,195]) ).
cnf(9867,plain,
~ subgroup_member(c),
inference('UR-RESOLVE',[status(thm)],[closure_of_product,9866,a_times_c_is_d,prove_d_is_in_subgroup]) ).
cnf(9928,plain,
subgroup_member(inverse(a)),
inference('HYPERRESOLVE',[status(thm)],[closure_of_inverse,9866]) ).
cnf(10287,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[closure_of_product,9867,b_is_in_subgroup,b_times_a_inverse_is_c]),9928]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP039-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 : Mon Jun 13 12:39:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:39:39
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-13T12:39:39
% 0.19/0.49
% 0.19/0.49 ; Recognized possible left identity assertion (|product| |identity| ?X ?X).
% 0.19/0.49 ; Recognized possible right identity assertion (|product| ?X |identity| ?X).
% 0.19/0.49 ; Recognized possible left inverse assertion (|product| (|inverse| ?X) ?X |identity|).
% 0.19/0.49 ; Recognized possible right inverse assertion (|product| ?X (|inverse| ?X) |identity|).
% 0.19/0.49 ; Recognized relation function assertion (|product| ?X ?Y (|multiply| ?X ?Y)).
% 0.19/0.49 ; Recognized relation functionality assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?X ?Y ?U)) (= ?Z ?U)).
% 0.19/0.49 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?Z ?U ?W)) (|product| ?X ?V ?W)).
% 3.56/3.74 ; Recognized possible associativity assertion (OR (NOT (|product| ?X ?Y ?Z)) (NOT (|product| ?Y ?U ?V)) (NOT (|product| ?X ?V ?W)) (|product| ?Z ?U ?W)).
% 3.56/3.74
% 3.56/3.74 #||
% 3.56/3.74 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.56/3.74 % SZS output start Refutation
% See solution above
% 3.56/3.74 ||#
% 3.56/3.74
% 3.56/3.74 ; Summary of computation:
% 3.56/3.74 ; 36834 formulas have been input or derived (from 245 formulas).
% 3.56/3.74 ; 10287 (28%) were retained. Of these,
% 3.56/3.74 ; 1124 (11%) were simplified or subsumed later,
% 3.56/3.74 ; 9163 (89%) are still being kept.
% 3.56/3.74 ;
% 3.56/3.74 ; Run time in seconds excluding printing time:
% 3.56/3.74 ; 0.004 0% Read assertion file (1 call)
% 3.56/3.74 ; 0.001 0% Assert (16 calls)
% 3.56/3.74 ; 0.655 20% Process new row (34,894 calls)
% 3.56/3.74 ; 1.657 51% Resolution (488 calls)
% 3.56/3.74 ; 0.006 0% Paramodulation (244 calls)
% 3.56/3.74 ; 0.000 0% Factoring (13 calls)
% 3.56/3.74 ; 0.012 0% Condensing (1,593 calls)
% 3.56/3.74 ; 0.086 3% Forward subsumption (1,593 calls)
% 3.56/3.74 ; 0.035 1% Backward subsumption (969 calls)
% 3.56/3.74 ; 0.023 1% Clause clause subsumption (8,641 calls)
% 3.56/3.74 ; 0.510 16% Forward simplification (33,016 calls)
% 3.56/3.74 ; 0.143 4% Backward simplification (10,287 calls)
% 3.56/3.74 ; 0.002 0% Ordering (3,761 calls)
% 3.56/3.74 ; 0.000 0% Sortal reasoning (32 calls)
% 3.56/3.74 ; 0.000 0% Purity testing (1 call)
% 3.56/3.74 ; 0.129 4% Other
% 3.56/3.74 ; 3.263 Total
% 3.56/3.74 ; 3.264 Real time
% 3.56/3.74 ;
% 3.56/3.74 ; Term-hash-array has 13,538 terms in all.
% 3.56/3.74 ; Feature-vector-row-index has 505 entries (817 at peak, 969 added, 464 deleted).
% 3.56/3.74 ; Feature-vector-row-index has 2,138 nodes (4,281 at peak, 5,036 added, 2,898 deleted).
% 3.56/3.74 ; Retrieved 10,629 possibly forward subsuming rows in 1,593 calls.
% 3.56/3.74 ; Retrieved 1,845 possibly backward subsumed rows in 969 calls.
% 3.56/3.74 ; Path-index has 12,096 entries (12,252 at peak, 13,661 added, 1,565 deleted).
% 3.56/3.74 ; Path-index has 3,063 nodes (3,243 at peak, 3,550 added, 487 deleted).
% 3.56/3.74 ; Trie-index has 12,096 entries (12,252 at peak, 13,661 added, 1,565 deleted).
% 3.56/3.74 ; Trie-index has 37,023 nodes (37,876 at peak, 41,824 added, 4,801 deleted).
% 3.56/3.74 ; Retrieved 94,042 generalization terms in 140,303 calls.
% 3.56/3.74 ; Retrieved 13,094 instance terms in 9,317 calls.
% 3.56/3.74 ; Retrieved 1,536,048 unifiable terms in 28,093 calls.
% 3.56/3.74 ;
% 3.56/3.74 ; The agenda of rows to process has 278 entries:
% 3.56/3.74 ; 6 with value 12 9 with value 17 51 with value 22
% 3.56/3.74 ; 7 with value 13 50 with value 18 8 with value 23
% 3.56/3.74 ; 7 with value 14 28 with value 19 14 with value 24
% 3.56/3.74 ; 18 with value 15 27 with value 20 12 with value 25
% 3.56/3.74 ; 10 with value 16 30 with value 21 1 with value 26
% 3.56/3.74 ; The agenda of rows to give has 8942 entries:
% 3.56/3.74 ; 6 with value (4 11) 1101 with value (4 21) 40 with value (4 30)
% 3.56/3.74 ; 6 with value (4 12) 900 with value (4 22) 15 with value (4 31)
% 3.56/3.74 ; 147 with value (4 13) 531 with value (4 23) 15 with value (4 32)
% 3.56/3.74 ; 289 with value (4 14) 104 with value (4 24) 2 with value (4 33)
% 3.56/3.74 ; 556 with value (4 15) 115 with value (4 25) 6 with value (4 34)
% 3.56/3.74 ; 729 with value (4 16) 46 with value (4 26) 4 with value (4 35)
% 3.56/3.74 ; 857 with value (4 17) 23 with value (4 27) 4 with value (4 36)
% 3.56/3.74 ; 1077 with value (4 18) 49 with value (4 28) 2 with value (4 37)
% 3.56/3.74 ; 1240 with value (4 19) 16 with value (4 29) 1 with value (4 38)
% 3.56/3.74 ; 1061 with value (4 20)
% 3.56/3.74 Evaluation took:
% 3.56/3.74 3.266 seconds of real time
% 3.56/3.74 3.07786 seconds of user run time
% 3.56/3.74 0.188257 seconds of system run time
% 3.56/3.74 [Run times include 0.296 seconds GC run time.]
% 3.56/3.74 0 calls to %EVAL
% 3.56/3.74 0 page faults and
% 3.56/3.74 170,868,464 bytes consed.
% 3.56/3.74 :PROOF-FOUND
% 3.56/3.74 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T12:39:42
% 3.56/3.74 :PROOF-FOUND
% 3.56/3.74 *
%------------------------------------------------------------------------------