%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP656+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n004.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 11:40:07 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of clauses : 14 ( 13 unt; 0 nHn; 3 RR)
% Number of literals : 15 ( 14 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
mult(X,ld(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(2,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(4,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(5,axiom,
mult(mult(X,Y),mult(Z,X)) = mult(mult(X,mult(Y,Z)),X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(6,negated_conjecture,
( mult('SKOLEMAAAV1'(X),X) != 'SKOLEMAAAV1'(X)
| mult(X,'SKOLEMAAAV1'(X)) != 'SKOLEMAAAV1'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(10,plain,
ld(mult(X,mult(Y,Z)),mult(mult(X,Y),mult(Z,X))) = X,
inference('PARAMODULATE',[status(thm)],[2,5,theory(equality)]) ).
cnf(12,plain,
mult(mult(X,Y),mult(ld(Y,Z),X)) = mult(mult(X,Z),X),
inference('PARAMODULATE',[status(thm)],[5,1,theory(equality)]) ).
cnf(35,plain,
ld(mult(X,Y),mult(mult(X,Z),X)) = mult(ld(Y,Z),X),
inference('PARAMODULATE',[status(thm)],[2,12,theory(equality)]) ).
cnf(36,plain,
mult(ld(X,X),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,12,theory(equality)]),35,1,theory(equality)]) ).
cnf(49,plain,
rd(X,X) = ld(Y,Y),
inference('PARAMODULATE',[status(thm)],[4,36,theory(equality)]) ).
cnf(51,plain,
mult('SKOLEMAAAV1'(ld(X,X)),ld(X,X)) != 'SKOLEMAAAV1'(ld(X,X)),
inference('UR-RESOLVE',[status(thm)],[6,36]) ).
cnf(59,plain,
ld(X,X) = ld(Y,Y),
inference('PARAMODULATE',[status(thm)],[49,49,theory(equality)]) ).
cnf(65,plain,
mult(X,ld(Y,Y)) = X,
inference('PARAMODULATE',[status(thm)],[1,59,theory(equality)]) ).
cnf(67,plain,
$false,
inference('REWRITE',[status(thm)],[51,65,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP656+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n004.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 : Tue Jun 14 08:45:54 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 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 2022-06-14T08:45:54
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-14T08:45:54
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.53 ||#
% 0.20/0.53
% 0.20/0.53 ; Summary of computation:
% 0.20/0.53 ; 153 formulas have been input or derived (from 17 formulas).
% 0.20/0.53 ; 67 (44%) were retained. Of these,
% 0.20/0.53 ; 8 (12%) were simplified or subsumed later,
% 0.20/0.53 ; 59 (88%) are still being kept.
% 0.20/0.53 ;
% 0.20/0.53 ; Run time in seconds excluding printing time:
% 0.20/0.53 ; 0.001 2% Read assertion file (1 call)
% 0.20/0.53 ; 0.001 2% Assert (6 calls)
% 0.20/0.53 ; 0.010 21% Process new row (141 calls)
% 0.20/0.53 ; 0.001 2% Resolution (32 calls)
% 0.20/0.53 ; 0.005 10% Paramodulation (16 calls)
% 0.20/0.53 ; 0.000 0% Condensing (1 call)
% 0.20/0.53 ; 0.000 0% Forward subsumption (1 call)
% 0.20/0.53 ; 0.000 0% Backward subsumption (1 call)
% 0.20/0.53 ; 0.002 4% Forward simplification (136 calls)
% 0.20/0.53 ; 0.000 0% Backward simplification (67 calls)
% 0.20/0.53 ; 0.004 8% Ordering (353 calls)
% 0.20/0.53 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.53 ; 0.000 0% Purity testing (1 call)
% 0.20/0.53 ; 0.023 48% Other
% 0.20/0.53 ; 0.048 Total
% 0.20/0.53 ; 0.051 Real time
% 0.20/0.53 ;
% 0.20/0.53 ; Term-hash-array has 286 terms in all.
% 0.20/0.53 ; Feature-vector-row-index has 1 entry (1 at peak, 1 added, 0 deleted).
% 0.20/0.53 ; Feature-vector-row-index has 7 nodes (7 at peak, 7 added, 0 deleted).
% 0.20/0.53 ; Retrieved 0 possibly forward subsuming rows in 1 call.
% 0.20/0.53 ; Retrieved 0 possibly backward subsumed rows in 1 call.
% 0.20/0.53 ; Path-index has 265 entries (282 at peak, 286 added, 21 deleted).
% 0.20/0.53 ; Path-index has 945 nodes (965 at peak, 969 added, 24 deleted).
% 0.20/0.53 ; Trie-index has 265 entries (282 at peak, 286 added, 21 deleted).
% 0.20/0.53 ; Trie-index has 1,510 nodes (1,612 at peak, 1,637 added, 127 deleted).
% 0.20/0.53 ; Retrieved 220 generalization terms in 803 calls.
% 0.20/0.53 ; Retrieved 203 instance terms in 77 calls.
% 0.20/0.53 ; Retrieved 453 unifiable terms in 94 calls.
% 0.20/0.53 ;
% 0.20/0.53 ; The agenda of rows to process has 9 entries:
% 0.20/0.53 ; 7 with value 15 2 with value 24
% 0.20/0.53 ; The agenda of rows to give has 43 entries:
% 0.20/0.53 ; 1 with value (4 13) 1 with value (4 23) 1 with value (4 34)
% 0.20/0.53 ; 4 with value (4 14) 2 with value (4 25) 4 with value (4 35)
% 0.20/0.53 ; 1 with value (4 15) 2 with value (4 26) 3 with value (4 38)
% 0.20/0.53 ; 1 with value (4 17) 3 with value (4 29) 3 with value (4 39)
% 0.20/0.53 ; 4 with value (4 21) 5 with value (4 30) 1 with value (4 45)
% 0.20/0.53 ; 4 with value (4 22) 2 with value (4 31) 1 with value (4 46)
% 0.20/0.53 Evaluation took:
% 0.20/0.53 0.051 seconds of real time
% 0.20/0.53 0.044331 seconds of user run time
% 0.20/0.53 0.006804 seconds of system run time
% 0.20/0.53 0 calls to %EVAL
% 0.20/0.53 0 page faults and
% 0.20/0.53 3,361,520 bytes consed.
% 0.20/0.53 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T08:45:54
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------