TSTP Solution File: GRP194+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 11:37:30 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 10 unt; 1 nHn; 18 RR)
% Number of literals : 30 ( 7 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ group_member(X,f)
| group_member(phi(X),h) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism1) ).
cnf(4,axiom,
( ~ group_member(X,f)
| ~ group_member(Y,f)
| multiply(h,phi(X),phi(Y)) = phi(multiply(f,X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',homomorphism2) ).
cnf(5,axiom,
( ~ group_member(X,h)
| group_member('SKOLEMAAAR1'(X),f) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).
cnf(6,axiom,
( ~ group_member(X,h)
| phi('SKOLEMAAAR1'(X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjective) ).
cnf(7,axiom,
( ~ left_zero(X,Y)
| group_member(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero) ).
cnf(8,axiom,
( ~ left_zero(X,Y)
| ~ group_member(Z,X)
| multiply(X,Y,Z) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero) ).
cnf(9,axiom,
( left_zero(X,Y)
| ~ group_member(Y,X)
| group_member('SKOLEMAAAR2'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero) ).
cnf(10,axiom,
( left_zero(X,Y)
| ~ group_member(Y,X)
| multiply(X,Y,'SKOLEMAAAR2'(X,Y)) != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero) ).
cnf(11,hypothesis,
left_zero(f,f_left_zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_zero_for_f) ).
cnf(12,negated_conjecture,
~ left_zero(h,phi(f_left_zero)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_left_zero_h) ).
cnf(13,plain,
group_member(f_left_zero,f),
inference('HYPERRESOLVE',[status(thm)],[7,11]) ).
cnf(14,plain,
group_member(phi(f_left_zero),h),
inference('HYPERRESOLVE',[status(thm)],[3,13]) ).
cnf(19,plain,
group_member('SKOLEMAAAR2'(h,phi(f_left_zero)),h),
inference('UR-RESOLVE',[status(thm)],[9,14,12]) ).
cnf(21,plain,
multiply(h,phi(f_left_zero),'SKOLEMAAAR2'(h,phi(f_left_zero))) != phi(f_left_zero),
inference('UR-RESOLVE',[status(thm)],[10,14,12]) ).
cnf(35,plain,
group_member('SKOLEMAAAR1'('SKOLEMAAAR2'(h,phi(f_left_zero))),f),
inference('HYPERRESOLVE',[status(thm)],[5,19]) ).
cnf(39,plain,
phi('SKOLEMAAAR1'('SKOLEMAAAR2'(h,phi(f_left_zero)))) = 'SKOLEMAAAR2'(h,phi(f_left_zero)),
inference('HYPERRESOLVE',[status(thm)],[6,19]) ).
cnf(50,plain,
multiply(f,f_left_zero,'SKOLEMAAAR1'('SKOLEMAAAR2'(h,phi(f_left_zero)))) = f_left_zero,
inference('HYPERRESOLVE',[status(thm)],[8,35,11]) ).
cnf(56,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[4,35,13]),21,50,39,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP194+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n013.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 12:04:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T12:04:44
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-13T12:04:44
% 0.20/0.51
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.51 ||#
% 0.20/0.51
% 0.20/0.51 ; Summary of computation:
% 0.20/0.51 ; 221 formulas have been input or derived (from 21 formulas).
% 0.20/0.51 ; 56 (25%) were retained. Of these,
% 0.20/0.51 ; 3 ( 5%) were simplified or subsumed later,
% 0.20/0.51 ; 53 (95%) are still being kept.
% 0.20/0.51 ;
% 0.20/0.51 ; Run time in seconds excluding printing time:
% 0.20/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.20/0.51 ; 0.000 0% Assert (8 calls)
% 0.20/0.51 ; 0.003 8% Process new row (111 calls)
% 0.20/0.51 ; 0.005 13% Resolution (40 calls)
% 0.20/0.51 ; 0.000 0% Paramodulation (20 calls)
% 0.20/0.51 ; 0.001 3% Condensing (13 calls)
% 0.20/0.51 ; 0.000 0% Forward subsumption (13 calls)
% 0.20/0.51 ; 0.000 0% Backward subsumption (13 calls)
% 0.20/0.51 ; 0.005 13% Forward simplification (111 calls)
% 0.20/0.51 ; 0.003 8% Backward simplification (56 calls)
% 0.20/0.51 ; 0.000 0% Ordering (50 calls)
% 0.20/0.51 ; 0.001 3% Sortal reasoning (32 calls)
% 0.20/0.51 ; 0.000 0% Purity testing (1 call)
% 0.20/0.51 ; 0.019 49% Other
% 0.20/0.51 ; 0.039 Total
% 0.20/0.51 ; 0.042 Real time
% 0.20/0.51 ;
% 0.20/0.51 ; Term-hash-array has 125 terms in all.
% 0.20/0.51 ; Feature-vector-row-index has 13 entries (13 at peak, 13 added, 0 deleted).
% 0.20/0.51 ; Feature-vector-row-index has 92 nodes (92 at peak, 92 added, 0 deleted).
% 0.20/0.51 ; Retrieved 0 possibly forward subsuming rows in 13 calls.
% 0.20/0.52 ; Retrieved 0 possibly backward subsumed rows in 13 calls.
% 0.20/0.52 ; Path-index has 125 entries (125 at peak, 128 added, 3 deleted).
% 0.20/0.52 ; Path-index has 446 nodes (446 at peak, 454 added, 8 deleted).
% 0.20/0.52 ; Trie-index has 125 entries (125 at peak, 128 added, 3 deleted).
% 0.20/0.52 ; Trie-index has 647 nodes (647 at peak, 663 added, 16 deleted).
% 0.20/0.52 ; Retrieved 108 generalization terms in 407 calls.
% 0.20/0.52 ; Retrieved 42 instance terms in 42 calls.
% 0.20/0.52 ; Retrieved 1,664 unifiable terms in 468 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 54 entries:
% 0.20/0.52 ; 2 with value 31 12 with value 38 11 with value 46
% 0.20/0.52 ; 6 with value 34 1 with value 39 1 with value 50
% 0.20/0.52 ; 4 with value 35 17 with value 42
% 0.20/0.52 ; The agenda of rows to give has 32 entries:
% 0.20/0.52 ; 2 with value (4 16) 1 with value (4 23) 1 with value (4 32)
% 0.20/0.52 ; 4 with value (4 18) 1 with value (4 24) 1 with value (4 34)
% 0.20/0.52 ; 1 with value (4 19) 2 with value (4 25) 1 with value (4 36)
% 0.20/0.52 ; 5 with value (4 20) 1 with value (4 27) 3 with value (4 38)
% 0.20/0.52 ; 1 with value (4 21) 1 with value (4 29) 1 with value (4 42)
% 0.20/0.52 ; 3 with value (4 22) 3 with value (4 30)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.043 seconds of real time
% 0.20/0.52 0.036581 seconds of user run time
% 0.20/0.52 0.005942 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,328,400 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T12:04:44
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------