TSTP Solution File: ANA031-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% 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 : Thu Jul 14 19:25:50 EDT 2022

% Result   : Unsatisfiable 0.86s 0.56s
% Output   : Proof 0.86s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    class_Ring__and__Field_Oordered__idom(t_b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs)]) ).

cnf(g1,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_OrderedGroup_Osemigroup__mult(t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_21)]) ).

cnf(g2,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_Ring__and__Field_Opordered__semiring(t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_42)]) ).

cnf(g3,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_OrderedGroup_Oab__semigroup__mult(t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_17)]) ).

cnf(g4,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50)]) ).

cnf(g5,plain,
    sPE(t_b,t_b),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ~ c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),t_b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1)]) ).

cnf(g7,plain,
    ( ~ sPE(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b))
    | ~ sPE(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b))
    | ~ sPE(t_b,t_b)
    | ~ c_lessequals(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b),t_b)
    | c_lessequals(c_times(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),t_b) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b))
    | sPE(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b),c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),c_times(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),v_c,t_b))
    | ~ sPE(c_times(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),v_c,t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b))
    | sPE(c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
    | sPE(c_times(v_c,c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),c_times(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),v_c,t_b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0)]) ).

cnf(g11,plain,
    ( ~ class_OrderedGroup_Osemigroup__mult(t_b)
    | sPE(c_times(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),v_c,t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__1_0)]) ).

cnf(g12,plain,
    sPE(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    c_lessequals(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0)]) ).

cnf(g14,plain,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
    | sPE(c_times(v_c,c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0)]) ).

cnf(g15,plain,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(t_b)
    | sPE(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Omult__ac__2_0)]) ).

cnf(g16,plain,
    ( ~ c_lessequals(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b)
    | ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b)
    | ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | c_lessequals(c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_f(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b),t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0)]) ).

cnf(g17,plain,
    ( ~ sPE(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_HOL_Oabs(v_b(v_x(v_c)),t_b))
    | ~ sPE(c_times(v_c,c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b))
    | ~ sPE(t_b,t_b)
    | ~ c_lessequals(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_times(v_c,c_HOL_Oabs(v_g(v_x(v_c)),t_b),t_b),t_b)
    | c_lessequals(c_HOL_Oabs(v_b(v_x(v_c)),t_b),c_times(c_HOL_Oabs(v_g(v_x(v_c)),t_b),v_c,t_b),t_b) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | c_lessequals(c_0,c_HOL_Oabs(v_f(v_x(v_c)),t_b),t_b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Fri Jul  8 03:57:29 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.86/0.56  % symbols: 17
% 0.86/0.56  % clauses: 26
% 0.86/0.56  % start clauses: 3
% 0.86/0.56  % iterative deepening steps: 460
% 0.86/0.56  % maximum path limit: 4
% 0.86/0.56  % literal attempts: 167906
% 0.86/0.56  % depth failures: 126803
% 0.86/0.56  % regularity failures: 1067
% 0.86/0.56  % tautology failures: 9862
% 0.86/0.56  % reductions: 2403
% 0.86/0.56  % extensions: 164235
% 0.86/0.56  % SAT variables: 10805
% 0.86/0.56  % SAT clauses: 13875
% 0.86/0.56  % WalkSAT solutions: 13874
% 0.86/0.56  % CDCL solutions: 0
% 0.86/0.56  % SZS status Unsatisfiable for theBenchmark
% 0.86/0.56  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------