TSTP Solution File: ALG383-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : ALG383-1 : TPTP v8.1.0. Released v4.1.0.
% 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 18:00:41 EDT 2022

% Result   : Unsatisfiable 2.95s 3.12s
% Output   : Refutation 2.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   23
% Syntax   : Number of clauses     :   38 (  27 unt;   0 nHn;  17 RR)
%            Number of literals    :   51 (  21 equ;  15 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_minus__mult__right_0,axiom,
    ( ~ class_Ring__and__Field_Oring(X)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(Y,Z,X),X) = c_HOL_Otimes__class_Otimes(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__mult__right_0) ).

cnf(cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X)
    | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(Y,Z,X),U,X) = c_HOL_Otimes__class_Otimes(Y,c_HOL_Otimes__class_Otimes(Z,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

cnf(cls_comm__monoid__add_Omult__left__commute_0,axiom,
    ( ~ class_OrderedGroup_Ocomm__monoid__add(X)
    | c_HOL_Oplus__class_Oplus(Y,c_HOL_Oplus__class_Oplus(Z,U,X),X) = c_HOL_Oplus__class_Oplus(Z,c_HOL_Oplus__class_Oplus(Y,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_comm__monoid__add_Omult__left__commute_0) ).

cnf(cls_mult__right_Odiff_0,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X)
    | c_HOL_Otimes__class_Otimes(Y,c_HOL_Ominus__class_Ominus(Z,U,X),X) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(Y,Z,X),c_HOL_Otimes__class_Otimes(Y,U,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_mult__right_Odiff_0) ).

cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X)
    | c_HOL_Oplus__class_Oplus(Y,Z,X) = c_HOL_Oplus__class_Oplus(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).

cnf(cls_diff__minus__eq__add_0,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(Z,X),X) = c_HOL_Oplus__class_Oplus(Y,Z,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_diff__minus__eq__add_0) ).

cnf(cls_minus__equation__iff_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(Y,X),X) = Y ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).

cnf(cls_minus__diff__eq_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(Y,Z,X),X) = c_HOL_Ominus__class_Ominus(Z,Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__diff__eq_0) ).

cnf(cls_minus__add__distrib_0,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X)
    | c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(Y,Z,X),X) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(Y,X),c_HOL_Ouminus__class_Ouminus(Z,X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_minus__add__distrib_0) ).

cnf(cls_poly__pCons_0,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
    | c_Polynomial_Opoly(c_Polynomial_OpCons(Y,Z,X),U,X) = c_HOL_Oplus__class_Oplus(Y,c_HOL_Otimes__class_Otimes(U,c_Polynomial_Opoly(Z,U,X),X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_poly__pCons_0) ).

cnf(cls_th2_0,axiom,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_th2_0) ).

cnf(cls_th1_0,axiom,
    c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(v_z____,c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_th1_0) ).

cnf(cls_order__trans_0,axiom,
    ( ~ class_Orderings_Opreorder(X)
    | c_lessequals(Y,Z,X)
    | ~ c_lessequals(U,Z,X)
    | ~ c_lessequals(Y,U,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_order__trans_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_aa____,c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0,axiom,
    class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).

cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add,axiom,
    class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).

cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).

cnf(1111,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = X,
    inference('HYPERRESOLVE',[status(thm)],[cls_minus__equation__iff_1,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).

cnf(1188,plain,
    c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(Y,X,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_class__semiring_Osemiring__rules_I24_J_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(1519,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Oplus__class_Oplus(X,Y,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_diff__minus__eq__add_0,clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).

cnf(1530,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(Y,c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[1188,1519,theory(equality)]) ).

cnf(1667,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(Y,X,tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_minus__diff__eq_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]) ).

cnf(1917,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_minus__mult__right_0,clsarity_Complex__Ocomplex__Ring__and__Field_Oring]) ).

cnf(2111,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Otimes__class_Otimes(X,c_HOL_Otimes__class_Otimes(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_ab__semigroup__mult__class_Omult__ac_I1_J_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult]) ).

cnf(2125,plain,
    c_HOL_Ominus__class_Ominus(X,c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(Z,c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_comm__monoid__add_Omult__left__commute_0,clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add]),1667,1519,theory(equality)]) ).

cnf(2170,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X,tc_Complex_Ocomplex),Y,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(Y,tc_Complex_Ocomplex),X,tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_minus__add__distrib_0,clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add]),1111,1667,1519,theory(equality)]) ).

cnf(2930,plain,
    c_HOL_Otimes__class_Otimes(X,c_HOL_Ominus__class_Ominus(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X,Y,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(X,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('HYPERRESOLVE',[status(thm)],[cls_mult__right_Odiff_0,clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).

cnf(3431,plain,
    c_Polynomial_Opoly(c_Polynomial_OpCons(X,Y,tc_Complex_Ocomplex),Z,tc_Complex_Ocomplex) = c_HOL_Ominus__class_Ominus(X,c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(Z,c_Polynomial_Opoly(Y,Z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[cls_poly__pCons_0,clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]),1519,theory(equality)]) ).

cnf(3433,plain,
    ~ c_lessequals(v_da____,c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_z____,v_z____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_aa____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_conjecture_0,2170,2125,1667,1917,2111,2930,1530,3431,theory(equality)]) ).

cnf(3478,plain,
    c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_z____,v_z____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_z____,v_z____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_aa____,tc_Complex_Ocomplex),c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_th2_0,2170,2125,1667,1917,2111,2930,1530,3431,theory(equality)]) ).

cnf(3479,plain,
    c_lessequals(v_da____,c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(v_z____,v_z____,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_cs____,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(v_z____,v_c____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(v_aa____,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
    inference('REWRITE',[status(thm)],[cls_th1_0,1917,2111,2930,1530,3431,theory(equality)]) ).

cnf(4632,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[cls_order__trans_0,3479,clsarity_RealDef__Oreal__Orderings_Opreorder,3433]),3478]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : ALG383-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n029.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 : Wed Jun  8 12:35:51 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.45  #<PACKAGE "SNARK-USER">
% 0.19/0.45  * 
% 0.19/0.45  SNARK-TPTP-OPTIONS
% 0.19/0.45  * 
% 0.19/0.45  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45   (USE-FACTORING :POS)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45  * 
% 0.19/0.45  "."
% 0.19/0.45  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:35:51
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T12:35:51
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Lattices_Obounded__lattice| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.47/0.65  WARNING:
% 0.47/0.65     |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 2.95/3.12  
% 2.95/3.12  
% 2.95/3.12  #||
% 2.95/3.12  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.95/3.12  % SZS output start Refutation
% See solution above
% 2.95/3.13  ||#
% 2.95/3.13  
% 2.95/3.13  ; Summary of computation:
% 2.95/3.13  ;     13844 formulas have been input or derived (from 858 formulas).
% 2.95/3.13  ;      4632 (33%) were retained.  Of these,
% 2.95/3.13  ;          505 (11%) were simplified or subsumed later,
% 2.95/3.13  ;         4127 (89%) are still being kept.
% 2.95/3.13  ; 
% 2.95/3.13  ; Run time in seconds excluding printing time:
% 2.95/3.13  ;     0.163   6%   Read assertion file          (1 call)
% 2.95/3.13  ;     0.016   1%   Assert                       (987 calls)
% 2.95/3.13  ;     0.461  17%   Process new row              (12,401 calls)
% 2.95/3.13  ;     0.463  17%   Resolution                   (1,714 calls)
% 2.95/3.13  ;     0.034   1%   Paramodulation               (857 calls)
% 2.95/3.13  ;     0.000   0%   Factoring                    (5 calls)
% 2.95/3.13  ;     0.044   2%   Condensing                   (4,167 calls)
% 2.95/3.13  ;     0.357  13%   Forward subsumption          (4,167 calls)
% 2.95/3.13  ;     0.078   3%   Backward subsumption         (2,113 calls)
% 2.95/3.13  ;     0.053   2%   Clause clause subsumption    (10,617 calls)
% 2.95/3.13  ;     0.625  23%   Forward simplification       (12,391 calls)
% 2.95/3.13  ;     0.120   4%   Backward simplification      (4,626 calls)
% 2.95/3.13  ;     0.191   7%   Ordering                     (45,871 calls)
% 2.95/3.13  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.95/3.13  ;     0.002   0%   Purity testing               (1 call)
% 2.95/3.13  ;     0.061   2%   Other
% 2.95/3.13  ;     2.668        Total
% 2.95/3.13  ;     2.671        Real time
% 2.95/3.13  ; 
% 2.95/3.13  ; Term-hash-array has 8,797 terms in all.
% 2.95/3.13  ; Feature-vector-row-index has 1,991 entries (1,991 at peak, 2,113 added, 122 deleted).
% 2.95/3.13  ; Feature-vector-row-index has 9,813 nodes (9,813 at peak, 10,828 added, 1,015 deleted).
% 2.95/3.13  ;  Retrieved 17,237 possibly forward subsuming rows in 4,167 calls.
% 2.95/3.13  ;  Retrieved 2,302 possibly backward subsumed rows in 2,113 calls.
% 2.95/3.13  ; Path-index has 7,745 entries (7,745 at peak, 9,047 added, 1,302 deleted).
% 2.95/3.13  ; Path-index has 31,011 nodes (31,011 at peak, 34,615 added, 3,604 deleted).
% 2.95/3.13  ; Trie-index has 7,745 entries (7,745 at peak, 9,047 added, 1,302 deleted).
% 2.95/3.13  ; Trie-index has 57,932 nodes (57,932 at peak, 71,110 added, 13,178 deleted).
% 2.95/3.13  ; Retrieved 78,976 generalization terms in 104,389 calls.
% 2.95/3.13  ; Retrieved 3,568 instance terms in 2,637 calls.
% 2.95/3.13  ; Retrieved 742,504 unifiable terms in 11,715 calls.
% 2.95/3.13  ; 
% 2.95/3.13  ; The agenda of rows to process has 74 entries:
% 2.95/3.13  ;    10 with value 58              4 with value 64              10 with value 70
% 2.95/3.13  ;     4 with value 60              8 with value 66               4 with value 72
% 2.95/3.13  ;     8 with value 62              6 with value 68               1 with value 73
% 2.95/3.13  ;    13 with value 63              1 with value 69               5 with value 74
% 2.95/3.13  ; The agenda of input rows to give has 32 entries:
% 2.95/3.13  ;     2 with value 34              2 with value 37               1 with value 47
% 2.95/3.13  ;     5 with value 35              2 with value 38               1 with value 56
% 2.95/3.13  ;     4 with value 36             15 with value 39
% 2.95/3.13  ; The agenda of rows to give has 3251 entries:
% 2.95/3.13  ;   104 with value (4 6)         116 with value (4 33)           2 with value (4 59)
% 2.95/3.13  ;     6 with value (4 8)          79 with value (4 34)           6 with value (4 60)
% 2.95/3.13  ;    26 with value (4 9)          83 with value (4 35)           3 with value (4 61)
% 2.95/3.13  ;    44 with value (4 10)         63 with value (4 36)           3 with value (4 62)
% 2.95/3.13  ;    42 with value (4 11)         37 with value (4 37)           3 with value (4 63)
% 2.95/3.13  ;    50 with value (4 12)         78 with value (4 38)           1 with value (4 64)
% 2.95/3.13  ;    58 with value (4 13)         37 with value (4 39)           2 with value (4 66)
% 2.95/3.13  ;   108 with value (4 14)         51 with value (4 40)           2 with value (4 67)
% 2.95/3.13  ;    78 with value (4 15)         32 with value (4 41)           4 with value (4 71)
% 2.95/3.13  ;    90 with value (4 16)         30 with value (4 42)           5 with value (4 73)
% 2.95/3.13  ;    82 with value (4 17)         37 with value (4 43)           2 with value (4 74)
% 2.95/3.13  ;    69 with value (4 18)         29 with value (4 44)           2 with value (4 75)
% 2.95/3.13  ;   139 with value (4 19)         15 with value (4 45)           2 with value (4 76)
% 2.95/3.13  ;   103 with value (4 20)         37 with value (4 46)           6 with value (4 77)
% 2.95/3.13  ;   107 with value (4 21)         29 with value (4 47)           4 with value (4 78)
% 2.95/3.13  ;   103 with value (4 22)         25 with value (4 48)           1 with value (4 81)
% 2.95/3.13  ;    88 with value (4 23)         25 with value (4 49)           2 with value (4 84)
% 2.95/3.13  ;   126 with value (4 24)         18 with value (4 50)           2 with value (4 86)
% 2.95/3.13  ;   137 with value (4 25)         23 with value (4 51)           2 with value (4 87)
% 2.95/3.13  ;   118 with value (4 26)         24 with value (4 52)           1 with value (4 88)
% 2.95/3.13  ;   110 with value (4 27)          8 with value (4 53)           2 with value (4 89)
% 2.95/3.13  ;    98 with value (4 28)         10 with value (4 54)           2 with value (4 91)
% 2.95/3.13  ;    91 with value (4 29)         13 with value (4 55)           1 with value (4 92)
% 2.95/3.13  ;    84 with value (4 30)         11 with value (4 56)           2 with value (4 96)
% 2.95/3.13  ;   124 with value (4 31)          3 with value (4 57)           3 with value (4 97)
% 2.95/3.13  ;    80 with value (4 32)          4 with value (4 58)           4 with value (4 113)
% 2.95/3.13  Evaluation took:
% 2.95/3.13    2.673 seconds of real time
% 2.95/3.13    2.483333 seconds of user run time
% 2.95/3.13    0.189611 seconds of system run time
% 2.95/3.13    [Run times include 0.334 seconds GC run time.]
% 2.95/3.13    0 calls to %EVAL
% 2.95/3.13    0 page faults and
% 2.95/3.13    205,568,592 bytes consed.
% 2.95/3.13  :PROOF-FOUND
% 2.95/3.13  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T12:35:54
% 2.95/3.13  :PROOF-FOUND
% 2.95/3.13  * 
%------------------------------------------------------------------------------