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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWW178+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:11:40 PM UTC 2026

% Result   : Theorem 168.20s 22.80s
% Output   : CNFRefutation 168.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   47 (  31 unt;   0 def)
%            Number of atoms       :   63 (  21 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   33 (  17   ~;  11   |;   0   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
    ! [X11,X13,X6] :
      ( class_Rings_Ocomm__semiring__1(X6)
     => c_Groups_Oplus__class_Oplus(X6,X13,X11) = c_Groups_Oplus__class_Oplus(X6,X11,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) ).

fof(fact_add__diff__cancel,axiom,
    ! [X12,X13,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Ominus__class_Ominus(X6,c_Groups_Oplus__class_Oplus(X6,X13,X12),X12) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__diff__cancel) ).

fof(fact_diff__add__cancel,axiom,
    ! [X12,X13,X6] :
      ( class_Groups_Ogroup__add(X6)
     => c_Groups_Oplus__class_Oplus(X6,c_Groups_Ominus__class_Ominus(X6,X13,X12),X12) = X13 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_diff__add__cancel) ).

fof(arity_RealDef__Oreal__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Rings_Ocomm__semiring__1) ).

fof(fact_complex__diff__def,axiom,
    ! [X4,X5] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X5,X4) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X5,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X4)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_complex__diff__def) ).

fof(fact_norm__minus__cancel,axiom,
    ! [X5,X6] :
      ( class_RealVector_Oreal__normed__vector(X6)
     => c_RealVector_Onorm__class_Onorm(X6,c_Groups_Ouminus__class_Ouminus(X6,X5)) = c_RealVector_Onorm__class_Onorm(X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_norm__minus__cancel) ).

fof(arity_Complex__Ocomplex__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Groups_Ogroup__add) ).

fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,axiom,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__Rings_Ocomm__semiring__1) ).

fof(fact_real__add__left__mono,axiom,
    ! [X7,X4,X5] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X5,X4)
     => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,X5),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X7,X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_real__add__left__mono) ).

fof(arity_RealDef__Oreal__Groups_Ogroup__add,axiom,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Ogroup__add) ).

fof(fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096) ).

fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

fof(c_0_13,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    inference(assume_negation,[status(cth)],[conj_0]) ).

fof(c_0_14,plain,
    ! [X422,X423,X424] :
      ( c_Groups_Oplus__class_Oplus(X424,X423,X422) = c_Groups_Oplus__class_Oplus(X424,X422,X423)
      | ~ class_Rings_Ocomm__semiring__1(X424) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])]) ).

fof(c_0_15,plain,
    ! [X188,X189,X190] :
      ( c_Groups_Ominus__class_Ominus(X190,c_Groups_Oplus__class_Oplus(X190,X189,X188),X188) = X189
      | ~ class_Groups_Ogroup__add(X190) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])])]) ).

fof(c_0_16,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_17,plain,
    ! [X191,X192,X193] :
      ( c_Groups_Oplus__class_Oplus(X193,c_Groups_Ominus__class_Ominus(X193,X192,X191),X191) = X192
      | ~ class_Groups_Ogroup__add(X193) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])])]) ).

cnf(c_0_18,plain,
    ( ~ class_Rings_Ocomm__semiring__1(X1)
    | c_Groups_Oplus__class_Oplus(X1,X2,X3) = c_Groups_Oplus__class_Oplus(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Rings_Ocomm__semiring__1]) ).

fof(c_0_20,plain,
    ! [X385,X386] : c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X386,X385) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X386,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X385)),
    inference(variable_rename,[status(thm)],[fact_complex__diff__def]) ).

fof(c_0_21,plain,
    ! [X209,X210] :
      ( c_RealVector_Onorm__class_Onorm(X210,c_Groups_Ouminus__class_Ouminus(X210,X209)) = c_RealVector_Onorm__class_Onorm(X210,X209)
      | ~ class_RealVector_Oreal__normed__vector(X210) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_norm__minus__cancel])])]) ).

cnf(c_0_22,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    class_Groups_Ogroup__add(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]) ).

cnf(c_0_24,plain,
    class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]) ).

fof(c_0_25,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    inference(fof_nnf,[status(thm)],[c_0_16]) ).

fof(c_0_26,plain,
    ! [X110,X111,X112] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X110,X112),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X110,X111))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X112,X111) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__add__left__mono])])]) ).

cnf(c_0_27,plain,
    ( ~ class_Groups_Ogroup__add(X1)
    | c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3) = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_28,plain,
    class_Groups_Ogroup__add(tc_RealDef_Oreal),
    inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Ogroup__add]) ).

cnf(c_0_29,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,X2) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_30,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
    inference(split_conjunct,[status(thm)],[fact__096cmod_A_Iw_A_L_Az_A_L_A_N_Az_J_A_N_Acmod_A_Iw_A_L_Az_J_A_060_061_Acmod_A_I_N_Az_J_096]) ).

cnf(c_0_31,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X2)),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_32,plain,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_RealVector_Onorm__class_Onorm(X1,c_Groups_Ouminus__class_Ouminus(X1,X2)) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).

cnf(c_0_34,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2),X2) = X1,
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_35,plain,
    c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2) = c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X2,X1),
    inference(spm,[status(thm)],[c_0_18,c_0_24]) ).

cnf(c_0_36,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X1),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_38,plain,
    c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X1,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X2,X1)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_39,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z),v_z)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_w,v_z))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,v_z))),
    inference(rw,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_40,plain,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,X1)) = c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X1),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_41,plain,
    c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,X1,X2),X1) = X2,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_42,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z))),
    inference(spm,[status(thm)],[c_0_36,c_0_35]) ).

cnf(c_0_43,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,X1,X2),X3)
    | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X2,X3)) ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_44,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_35]),c_0_41]),c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,v_z,v_w)))),
    inference(rw,[status(thm)],[c_0_42,c_0_29]) ).

cnf(c_0_46,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_29]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWW178+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.36  % Computer : n012.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 09:40:06 UTC 2026
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 168.20/22.80  % Version: 3.5.1
% 168.20/22.80  % Preprocessing class: FMLMSMSMSSSNFFN.
% 168.20/22.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.20/22.80  % Starting new_bool_3 with 300s (1) cores
% 168.20/22.80  % Starting new_bool_1 with 300s (1) cores
% 168.20/22.80  % Starting sh5l with 300s (1) cores
% 168.20/22.80  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 2096087 completed with status 0
% 168.20/22.80  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 168.20/22.80  % Preprocessing class: FMLMSMSMSSSNFFN.
% 168.20/22.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.20/22.80  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.20/22.80  % No SInE strategy applied
% 168.20/22.80  % Search class: FGHSM-SSLM32-DFFFFFNN
% 168.20/22.80  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 168.20/22.80  % Starting SubtermCWHack with 136s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 168.20/22.80  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 168.20/22.80  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 2096098 completed with status 0
% 168.20/22.80  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 168.20/22.80  % Preprocessing class: FMLMSMSMSSSNFFN.
% 168.20/22.80  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 168.20/22.80  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 168.20/22.80  % No SInE strategy applied
% 168.20/22.80  % Search class: FGHSM-SSLM32-DFFFFFNN
% 168.20/22.80  % Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 168.20/22.80  % Starting SubtermCWHack with 136s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 113s (1) cores
% 168.20/22.80  % Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 168.20/22.80  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 168.20/22.80  % Preprocessing time       : 0.023 s
% 168.20/22.80  % Presaturation interreduction done
% 168.20/22.80  
% 168.20/22.80  % Proof found!
% 168.20/22.80  % SZS status Theorem
% 168.20/22.80  % SZS output start CNFRefutation
% See solution above
% 168.20/22.80  % Parsed axioms                        : 1200
% 168.20/22.80  % Removed by relevancy pruning/SinE    : 0
% 168.20/22.80  % Initial clauses                      : 1593
% 168.20/22.80  % Removed in clause preprocessing      : 48
% 168.20/22.80  % Initial clauses in saturation        : 1545
% 168.20/22.80  % Processed clauses                    : 97620
% 168.20/22.80  % ...of these trivial                  : 2461
% 168.20/22.80  % ...subsumed                          : 79138
% 168.20/22.80  % ...remaining for further processing  : 16021
% 168.20/22.80  % Other redundant clauses eliminated   : 3162
% 168.20/22.80  % Clauses deleted for lack of memory   : 0
% 168.20/22.80  % Backward-subsumed                    : 1191
% 168.20/22.80  % Backward-rewritten                   : 1042
% 168.20/22.80  % Generated clauses                    : 1067914
% 168.20/22.80  % ...of the previous two non-redundant : 903817
% 168.20/22.80  % ...aggressively subsumed             : 0
% 168.20/22.80  % Contextual simplify-reflections      : 23
% 168.20/22.80  % Paramodulations                      : 1064704
% 168.20/22.80  % Factorizations                       : 22
% 168.20/22.80  % NegExts                              : 0
% 168.20/22.80  % Equation resolutions                 : 3196
% 168.20/22.80  % Disequality decompositions           : 0
% 168.20/22.80  % Total rewrite steps                  : 905254
% 168.20/22.80  % ...of those cached                   : 861570
% 168.20/22.80  % Propositional unsat checks           : 3
% 168.20/22.80  %    Propositional check models        : 0
% 168.20/22.80  %    Propositional check unsatisfiable : 0
% 168.20/22.80  %    Propositional clauses             : 0
% 168.20/22.80  %    Propositional clauses after purity: 0
% 168.20/22.80  %    Propositional unsat core size     : 0
% 168.20/22.80  %    Propositional preprocessing time  : 0.000
% 168.20/22.80  %    Propositional encoding time       : 1.532
% 168.20/22.80  %    Propositional solver time         : 0.982
% 168.20/22.80  %    Success case prop preproc time    : 0.000
% 168.20/22.80  %    Success case prop encoding time   : 0.000
% 168.20/22.80  %    Success case prop solver time     : 0.000
% 168.20/22.80  % Current number of processed clauses  : 12397
% 168.20/22.80  %    Positive orientable unit clauses  : 2728
% 168.20/22.80  %    Positive unorientable unit clauses: 112
% 168.20/22.80  %    Negative unit clauses             : 3890
% 168.20/22.80  %    Non-unit-clauses                  : 5667
% 168.20/22.80  % Current number of unprocessed clauses: 806552
% 168.20/22.80  % ...number of literals in the above   : 1606742
% 168.20/22.80  % Current number of archived formulas  : 0
% 168.20/22.80  % Current number of archived clauses   : 3498
% 168.20/22.80  % Clause-clause subsumption calls (NU) : 3403006
% 168.20/22.80  % Rec. Clause-clause subsumption calls : 2678053
% 168.20/22.80  % Non-unit clause-clause subsumptions  : 12327
% 168.20/22.80  % Unit Clause-clause subsumption calls : 2734643
% 168.20/22.80  % Rewrite failures with RHS unbound    : 0
% 168.20/22.80  % BW rewrite match attempts            : 116055
% 168.20/22.80  % BW rewrite match successes           : 2289
% 168.20/22.80  % Condensation attempts                : 0
% 168.20/22.80  % Condensation successes               : 0
% 168.20/22.80  % Termbank termtop insertions          : 25990449
% 168.20/22.80  % Search garbage collected termcells   : 18764
% 168.20/22.80  
% 168.20/22.80  % -------------------------------------------------
% 168.20/22.80  % User time                : 21.306 s
% 168.20/22.80  % System time              : 0.667 s
% 168.20/22.80  % Total time               : 21.973 s
% 168.20/22.80  % Maximum resident set size: 9328 pages
% 168.20/22.80  
% 168.20/22.80  % -------------------------------------------------
% 168.20/22.80  % User time                : 98.980 s
% 168.20/22.80  % System time              : 2.833 s
% 168.20/22.80  % Total time               : 101.813 s
% 168.20/22.80  % Maximum resident set size: 6144 pages
% 168.20/22.80  % E exiting
%------------------------------------------------------------------------------