%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : Thu Jul 14 19:26:54 EDT 2022
% Result : Unsatisfiable 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 21 ( 13 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_b),t_b),c_times(v_ca,c_HOL_Oabs(v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Omult__ac__2_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X)
| c_times(Y,Z,X) = c_times(Z,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0) ).
cnf(cls_OrderedGroup_Omult__ac__3_0,axiom,
( ~ class_OrderedGroup_Oab__semigroup__mult(X)
| c_times(Y,c_times(Z,U,X),X) = c_times(Z,c_times(Y,U,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__3_0) ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| c_HOL_Oabs(c_times(Y,Z,X),X) = c_times(c_HOL_Oabs(Y,X),c_HOL_Oabs(Z,X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Oabs__mult_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_17,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Oab__semigroup__mult(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17) ).
cnf(7,plain,
class_OrderedGroup_Oab__semigroup__mult(t_b),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_17,tfree_tcs]) ).
cnf(8,plain,
c_HOL_Oabs(c_times(X,Y,t_b),t_b) = c_times(c_HOL_Oabs(X,t_b),c_HOL_Oabs(Y,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Oabs__mult_0,tfree_tcs]) ).
cnf(9,plain,
c_times(X,Y,t_b) = c_times(Y,X,t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omult__ac__2_0,7]) ).
cnf(10,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(Y,c_times(X,Z,t_b),t_b),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Omult__ac__3_0,7]) ).
cnf(21,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(c_times(X,Z,t_b),Y,t_b),
inference('PARAMODULATE',[status(thm)],[9,10,theory(equality)]) ).
cnf(22,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(Z,c_times(X,Y,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[10,9,theory(equality)]) ).
cnf(29,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(c_times(Z,X,t_b),Y,t_b),
inference('PARAMODULATE',[status(thm)],[21,9,theory(equality)]) ).
cnf(40,plain,
c_times(X,c_HOL_Oabs(c_times(Y,Z,t_b),t_b),t_b) = c_times(c_times(X,c_HOL_Oabs(Z,t_b),t_b),c_HOL_Oabs(Y,t_b),t_b),
inference('PARAMODULATE',[status(thm)],[21,8,theory(equality)]) ).
cnf(45,plain,
c_times(c_times(v_c,v_ca,t_b),c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),t_b) != c_times(c_HOL_Oabs(c_times(v_f(v_x),v_g(v_x),t_b),t_b),c_times(v_ca,v_c,t_b),t_b),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[cls_conjecture_4,21,theory(equality)]),21,29,40,theory(equality)]) ).
cnf(48,plain,
c_times(X,c_times(Y,Z,t_b),t_b) = c_times(c_times(Z,Y,t_b),X,t_b),
inference('PARAMODULATE',[status(thm)],[21,22,theory(equality)]) ).
cnf(49,plain,
$false,
inference('REWRITE',[status(thm)],[45,48,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ANA035-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.09 % Command : run-snark %s %d
% 0.09/0.29 % Computer : n029.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Fri Jul 8 05:41:29 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.13/0.37 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38 *
% 0.13/0.38 *
% 0.13/0.38 #<PACKAGE "SNARK-USER">
% 0.13/0.38 *
% 0.13/0.38 SNARK-TPTP-OPTIONS
% 0.13/0.38 *
% 0.13/0.38 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.13/0.38 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.13/0.38 (USE-FACTORING :POS)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.13/0.38 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.13/0.38 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.13/0.38 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.13/0.38 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.13/0.38 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.13/0.38 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.13/0.38 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.13/0.38 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.13/0.38 (DECLARE-TPTP-SYMBOLS2))
% 0.13/0.38 *
% 0.13/0.38 "."
% 0.13/0.38 *
% 0.13/0.38 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:41:29
% 0.13/0.38 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-08T05:41:29
% 0.13/0.43
% 0.13/0.43
% 0.13/0.43 #||
% 0.13/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 % SZS output start Refutation
% See solution above
% 0.13/0.43 ||#
% 0.13/0.43
% 0.13/0.43 ; Summary of computation:
% 0.13/0.43 ; 159 formulas have been input or derived (from 14 formulas).
% 0.13/0.43 ; 49 (31%) were retained. Of these,
% 0.13/0.43 ; 1 ( 2%) were simplified or subsumed later,
% 0.13/0.43 ; 48 (98%) are still being kept.
% 0.13/0.43 ;
% 0.13/0.43 ; Run time in seconds excluding printing time:
% 0.13/0.43 ; 0.001 2% Read assertion file (1 call)
% 0.13/0.43 ; 0.001 2% Assert (6 calls)
% 0.13/0.43 ; 0.002 4% Process new row (106 calls)
% 0.13/0.43 ; 0.002 4% Resolution (26 calls)
% 0.13/0.43 ; 0.004 9% Paramodulation (13 calls)
% 0.13/0.43 ; 0.001 2% Condensing (4 calls)
% 0.13/0.43 ; 0.000 0% Forward subsumption (4 calls)
% 0.13/0.43 ; 0.000 0% Backward subsumption (4 calls)
% 0.13/0.43 ; 0.000 0% Clause clause subsumption (1 call)
% 0.13/0.43 ; 0.007 15% Forward simplification (106 calls)
% 0.13/0.43 ; 0.001 2% Backward simplification (49 calls)
% 0.13/0.43 ; 0.009 19% Ordering (960 calls)
% 0.13/0.43 ; 0.000 0% Sortal reasoning (32 calls)
% 0.13/0.43 ; 0.000 0% Purity testing (1 call)
% 0.13/0.43 ; 0.019 40% Other
% 0.13/0.43 ; 0.047 Total
% 0.13/0.43 ; 0.049 Real time
% 0.13/0.43 ;
% 0.13/0.43 ; Term-hash-array has 149 terms in all.
% 0.13/0.43 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.13/0.43 ; Feature-vector-row-index has 17 nodes (17 at peak, 17 added, 0 deleted).
% 0.13/0.43 ; Retrieved 1 possibly forward subsuming row in 4 calls.
% 0.13/0.43 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.13/0.43 ; Path-index has 151 entries (153 at peak, 153 added, 2 deleted).
% 0.13/0.43 ; Path-index has 387 nodes (387 at peak, 387 added, 0 deleted).
% 0.13/0.43 ; Trie-index has 151 entries (153 at peak, 153 added, 2 deleted).
% 0.13/0.43 ; Trie-index has 748 nodes (763 at peak, 763 added, 15 deleted).
% 0.13/0.43 ; Retrieved 368 generalization terms in 394 calls.
% 0.13/0.43 ; Retrieved 431 instance terms in 86 calls.
% 0.13/0.43 ; Retrieved 481 unifiable terms in 87 calls.
% 0.13/0.43 ;
% 0.13/0.43 ; The agenda of rows to process has 37 entries:
% 0.13/0.43 ; 7 with value 22 24 with value 29 2 with value 41
% 0.13/0.43 ; 4 with value 27
% 0.13/0.43 ; The agenda of rows to give has 34 entries:
% 0.13/0.43 ; 6 with value (4 22) 2 with value (4 28) 1 with value (4 38)
% 0.13/0.43 ; 1 with value (4 25) 12 with value (4 29) 6 with value (4 39)
% 0.13/0.43 ; 5 with value (4 27) 1 with value (4 37)
% 0.13/0.43 Evaluation took:
% 0.13/0.43 0.049 seconds of real time
% 0.13/0.43 0.039288 seconds of user run time
% 0.13/0.43 0.010147 seconds of system run time
% 0.13/0.43 0 calls to %EVAL
% 0.13/0.43 0 page faults and
% 0.13/0.43 3,836,560 bytes consed.
% 0.13/0.43 :PROOF-FOUND
% 0.13/0.43 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T05:41:29
% 0.13/0.43 :PROOF-FOUND
% 0.13/0.43 *
%------------------------------------------------------------------------------