%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 11:40:11 EDT 2022
% Result : Unsatisfiable 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 13 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(f02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(f04,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(f07,axiom,
mult(X,mult(Y,Z)) = mult(rd(mult(X,Y),X),mult(X,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(f08,axiom,
mult(mult(X,Y),Z) = mult(mult(X,Z),ld(Z,mult(Y,Z))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f08) ).
cnf(f09,axiom,
mult(op_c,X) = mult(X,op_c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f09) ).
cnf(goal,negated_conjecture,
mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(11,plain,
mult(mult(x0,op_c),ld(op_c,mult(x1,op_c))) != mult(x0,mult(x1,op_c)),
inference('REWRITE',[status(thm)],[goal,f08,theory(equality)]) ).
cnf(15,plain,
ld(X,mult(op_c,X)) = op_c,
inference('PARAMODULATE',[status(thm)],[f02,f09,theory(equality)]) ).
cnf(16,plain,
ld(op_c,mult(X,op_c)) = X,
inference('PARAMODULATE',[status(thm)],[f02,f09,theory(equality)]) ).
cnf(17,plain,
mult(mult(x0,op_c),x1) != mult(x0,mult(x1,op_c)),
inference('REWRITE',[status(thm)],[11,16,theory(equality)]) ).
cnf(22,plain,
rd(mult(op_c,X),op_c) = X,
inference('PARAMODULATE',[status(thm)],[f04,f09,theory(equality)]) ).
cnf(27,plain,
mult(X,mult(op_c,Y)) = mult(mult(X,Y),op_c),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f09,f07,theory(equality)]),22,theory(equality)]) ).
cnf(30,plain,
mult(X,mult(op_c,Y)) = mult(X,mult(Y,op_c)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[f07,f09,theory(equality)]),f07,theory(equality)]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[17,f08,theory(equality)]),30,27,15,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP665-12 : TPTP v8.1.0. Released v8.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 19:47:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:47:38
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-13T19:47:38
% 0.18/0.48
% 0.18/0.48 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.18/0.51 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.18/0.51
% 0.18/0.51 #||
% 0.18/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.51 % SZS output start Refutation
% See solution above
% 0.18/0.51 ||#
% 0.18/0.51
% 0.18/0.51 ; Summary of computation:
% 0.18/0.51 ; 131 formulas have been input or derived (from 11 formulas).
% 0.18/0.51 ; 46 (35%) were retained. Of these,
% 0.18/0.51 ; 3 ( 7%) were simplified or subsumed later,
% 0.18/0.51 ; 43 (93%) are still being kept.
% 0.18/0.51 ;
% 0.18/0.51 ; Run time in seconds excluding printing time:
% 0.18/0.51 ; 0.002 5% Read assertion file (1 call)
% 0.18/0.51 ; 0.000 0% Assert (10 calls)
% 0.18/0.51 ; 0.004 10% Process new row (90 calls)
% 0.18/0.51 ; 0.000 0% Resolution (20 calls)
% 0.18/0.51 ; 0.005 12% Paramodulation (10 calls)
% 0.18/0.51 ; 0.002 5% Forward simplification (90 calls)
% 0.18/0.51 ; 0.001 2% Backward simplification (45 calls)
% 0.18/0.51 ; 0.005 12% Ordering (406 calls)
% 0.18/0.51 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.51 ; 0.000 0% Purity testing (1 call)
% 0.18/0.51 ; 0.023 55% Other
% 0.18/0.51 ; 0.042 Total
% 0.18/0.51 ; 0.044 Real time
% 0.18/0.51 ;
% 0.18/0.51 ; Term-hash-array has 144 terms in all.
% 0.18/0.51 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.18/0.51 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.18/0.51 ; Path-index has 143 entries (143 at peak, 153 added, 10 deleted).
% 0.18/0.51 ; Path-index has 433 nodes (433 at peak, 453 added, 20 deleted).
% 0.18/0.51 ; Trie-index has 143 entries (143 at peak, 153 added, 10 deleted).
% 0.18/0.51 ; Trie-index has 625 nodes (625 at peak, 665 added, 40 deleted).
% 0.18/0.51 ; Retrieved 396 generalization terms in 443 calls.
% 0.18/0.51 ; Retrieved 106 instance terms in 70 calls.
% 0.18/0.51 ; Retrieved 243 unifiable terms in 64 calls.
% 0.18/0.51 ;
% 0.18/0.51 ; The agenda of rows to process has 40 entries:
% 0.18/0.51 ; 12 with value 20 6 with value 29 4 with value 34
% 0.18/0.51 ; 3 with value 21 3 with value 30 2 with value 37
% 0.18/0.51 ; 2 with value 24 6 with value 33 1 with value 38
% 0.18/0.51 ; 1 with value 25
% 0.18/0.51 ; The agenda of rows to give has 32 entries:
% 0.18/0.51 ; 4 with value (4 8) 2 with value (4 21) 2 with value (4 30)
% 0.18/0.51 ; 8 with value (4 11) 1 with value (4 24) 1 with value (4 37)
% 0.18/0.51 ; 6 with value (4 15) 2 with value (4 29) 1 with value (4 38)
% 0.18/0.51 ; 5 with value (4 20)
% 0.18/0.51 Evaluation took:
% 0.18/0.51 0.044 seconds of real time
% 0.18/0.51 0.033202 seconds of user run time
% 0.18/0.51 0.011018 seconds of system run time
% 0.18/0.51 0 calls to %EVAL
% 0.18/0.51 0 page faults and
% 0.18/0.51 2,870,576 bytes consed.
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T19:47:38
% 0.18/0.51 :PROOF-FOUND
% 0.18/0.51 *
%------------------------------------------------------------------------------