TSTP Solution File: ANA022-2 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n022.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  : 300s
% DateTime : Mon May 20 18:38:59 EDT 2024

% Result   : Unsatisfiable 3.18s 1.74s
% Output   : Refutation 3.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   49
% Syntax   : Number of formulae    :   77 (   7 unt;  22 typ;   0 def)
%            Number of atoms       :  123 (  16 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  508 (  68   ~;  68   |;   0   &; 372   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   31 (  31   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   24 (  22 usr;   4 con; 0-3 aty)
%            Number of variables   :  116 (   0   ^ 116   !;   0   ?; 116   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_lessequals_type,type,
    c_lessequals: $i > $i > $i > $o ).

thf(v_k_type,type,
    v_k: $i > $i ).

thf(v_f_type,type,
    v_f: $i > $i ).

thf(t_b_type,type,
    t_b: $i ).

thf(c_Orderings_Omax_type,type,
    c_Orderings_Omax: $i > $i > $i > $i ).

thf(c_minus_type,type,
    c_minus: $i > $i > $i > $i ).

thf(v_x_type,type,
    v_x: $i ).

thf(v_g_type,type,
    v_g: $i > $i ).

thf(c_0_type,type,
    c_0: $i ).

thf(c_HOL_Oabs_type,type,
    c_HOL_Oabs: $i > $i > $i ).

thf(class_Ring__and__Field_Oordered__idom_type,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

thf(class_LOrder_Ojoin__semilorder_type,type,
    class_LOrder_Ojoin__semilorder: $i > $o ).

thf(class_Orderings_Oorder_type,type,
    class_Orderings_Oorder: $i > $o ).

thf(class_OrderedGroup_Olordered__ab__group__abs_type,type,
    class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).

thf(class_OrderedGroup_Opordered__ab__group__add_type,type,
    class_OrderedGroup_Opordered__ab__group__add: $i > $o ).

thf(class_OrderedGroup_Opordered__ab__semigroup__add__imp__le_type,type,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).

thf(class_Orderings_Olinorder_type,type,
    class_Orderings_Olinorder: $i > $o ).

thf(c_less_type,type,
    c_less: $i > $i > $i > $o ).

thf(class_OrderedGroup_Ocomm__monoid__add_type,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

thf(c_plus_type,type,
    c_plus: $i > $i > $i > $i ).

thf(class_OrderedGroup_Oab__group__add_type,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

thf(c_uminus_type,type,
    c_uminus: $i > $i > $i ).

thf(20,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @ A )
      | ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ ( c_plus @ D @ C @ A ) @ A )
      | ( c_lessequals @ B @ D @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oadd__le__cancel__right_0) ).

thf(69,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @ A )
      | ~ ( c_lessequals @ ( c_plus @ B @ C @ A ) @ ( c_plus @ D @ C @ A ) @ A )
      | ( c_lessequals @ B @ D @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_50) ).

thf(42,plain,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Olordered__ab__group__abs @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ~ ( c_lessequals @ B @ c_0 @ A )
      | ( ( c_HOL_Oabs @ B @ A )
        = ( c_uminus @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__of__nonpos_0) ).

thf(61,plain,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ~ ( c_lessequals @ B @ c_0 @ A )
      | ( ( c_HOL_Oabs @ B @ A )
        = ( c_uminus @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(22,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_plus @ ( c_minus @ B @ C @ A ) @ D @ A )
        = ( c_minus @ ( c_plus @ B @ D @ A ) @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__3_0) ).

thf(73,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_plus @ ( c_minus @ B @ C @ A ) @ D @ A )
        = ( c_minus @ ( c_plus @ B @ D @ A ) @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(19,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_uminus @ ( c_minus @ B @ C @ A ) @ A )
        = ( c_minus @ C @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ominus__diff__eq_0) ).

thf(66,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_uminus @ ( c_minus @ B @ C @ A ) @ A )
        = ( c_minus @ C @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(8,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Olinorder @ A )
      | ( c_less @ B @ C @ A )
      | ( c_lessequals @ C @ B @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).

thf(40,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Olinorder @ A )
      | ( c_less @ B @ C @ A )
      | ( c_lessequals @ C @ B @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_LOrder_Ojoin__semilorder @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_35) ).

thf(79,plain,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_LOrder_Ojoin__semilorder @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(26,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( ( c_HOL_Oabs @ ( c_uminus @ B @ A ) @ A )
        = ( c_HOL_Oabs @ B @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__minus__cancel_0) ).

thf(83,plain,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( ( c_HOL_Oabs @ ( c_uminus @ B @ A ) @ A )
        = ( c_HOL_Oabs @ B @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ A )
      | ( ( c_plus @ c_0 @ B @ A )
        = B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).

thf(46,plain,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Ocomm__monoid__add @ A )
      | ( ( c_plus @ c_0 @ B @ A )
        = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(15,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ B @ A ) @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).

thf(57,plain,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( c_lessequals @ c_0 @ ( c_HOL_Oabs @ B @ A ) @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(2,negated_conjecture,
    ~ ( c_lessequals @ ( c_Orderings_Omax @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @ ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(29,plain,
    ~ ( c_lessequals @ ( c_Orderings_Omax @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ c_0 @ t_b ) @ ( c_HOL_Oabs @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b ) @ t_b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(1,negated_conjecture,
    ! [A: $i] : ( c_lessequals @ ( v_k @ A ) @ ( v_f @ A ) @ t_b ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(28,plain,
    ! [A: $i] : ( c_lessequals @ ( v_k @ A ) @ ( v_f @ A ) @ t_b ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(7,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Oorder @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ~ ( c_lessequals @ D @ B @ A )
      | ( c_lessequals @ D @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

thf(38,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Oorder @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ~ ( c_lessequals @ D @ B @ A )
      | ( c_lessequals @ D @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(18,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Olinorder @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ~ ( c_lessequals @ D @ C @ A )
      | ( c_lessequals @ ( c_Orderings_Omax @ D @ B @ A ) @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).

thf(64,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Olinorder @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ~ ( c_lessequals @ D @ C @ A )
      | ( c_lessequals @ ( c_Orderings_Omax @ D @ B @ A ) @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(4,axiom,
    ! [A: $i] :
      ( ~ ( class_LOrder_Ojoin__semilorder @ A )
      | ( class_Orderings_Oorder @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_LOrder_Ojoin__semilorder_1) ).

thf(32,plain,
    ! [A: $i] :
      ( ~ ( class_LOrder_Ojoin__semilorder @ A )
      | ( class_Orderings_Oorder @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( class_OrderedGroup_Opordered__ab__group__add @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_1) ).

thf(34,plain,
    ! [A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( class_OrderedGroup_Opordered__ab__group__add @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(10,axiom,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_Orderings_Olinorder @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

thf(44,plain,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_Orderings_Olinorder @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(16,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ( c_lessequals @ ( c_minus @ B @ C @ A ) @ c_0 @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__le__0__iff__le_1) ).

thf(59,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
      | ~ ( c_lessequals @ B @ C @ A )
      | ( c_lessequals @ ( c_minus @ B @ C @ A ) @ c_0 @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Oab__group__add @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).

thf(71,plain,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Oab__group__add @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_minus @ B @ B @ A )
        = c_0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__self_0) ).

thf(54,plain,
    ! [B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_minus @ B @ B @ A )
        = c_0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(12,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
      | ~ ( c_lessequals @ B @ ( c_plus @ C @ D @ A ) @ A )
      | ( c_lessequals @ ( c_minus @ B @ D @ A ) @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).

thf(49,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ A )
      | ~ ( c_lessequals @ B @ ( c_plus @ C @ D @ A ) @ A )
      | ( c_lessequals @ ( c_minus @ B @ D @ A ) @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).

thf(86,plain,
    ! [A: $i] :
      ( ~ ( class_Ring__and__Field_Oordered__idom @ A )
      | ( class_OrderedGroup_Ocomm__monoid__add @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(25,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Oorder @ A )
      | ~ ( c_less @ B @ C @ A )
      | ( c_lessequals @ B @ C @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).

thf(81,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_Orderings_Oorder @ A )
      | ~ ( c_less @ B @ C @ A )
      | ( c_lessequals @ B @ C @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(23,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_plus @ B @ ( c_minus @ C @ D @ A ) @ A )
        = ( c_minus @ ( c_plus @ B @ C @ A ) @ D @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__2_0) ).

thf(76,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_plus @ B @ ( c_minus @ C @ D @ A ) @ A )
        = ( c_minus @ ( c_plus @ B @ C @ A ) @ D @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_OrderedGroup_Olordered__ab__group__abs_6) ).

thf(36,plain,
    ! [A: $i] :
      ( ~ ( class_OrderedGroup_Olordered__ab__group__abs @ A )
      | ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(3,negated_conjecture,
    class_Ring__and__Field_Oordered__idom @ t_b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

thf(30,plain,
    class_Ring__and__Field_Oordered__idom @ t_b,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(13,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_minus @ B @ ( c_uminus @ C @ A ) @ A )
        = ( c_plus @ B @ C @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OrderedGroup_Odiff__minus__eq__add_0) ).

thf(51,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( class_OrderedGroup_Oab__group__add @ A )
      | ( ( c_minus @ B @ ( c_uminus @ C @ A ) @ A )
        = ( c_plus @ B @ C @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(88,plain,
    $false,
    inference(e,[status(thm)],[69,42,61,73,66,40,79,83,46,57,29,28,38,64,32,34,44,59,71,54,49,86,81,76,36,30,51]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ANA022-2 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n022.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Mon May 20 07:54:54 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 0.98/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.35/0.97  % [INFO] 	 Parsing done (110ms). 
% 1.35/0.98  % [INFO] 	 Running in sequential loop mode. 
% 1.75/1.19  % [INFO] 	 eprover registered as external prover. 
% 1.75/1.19  % [INFO] 	 cvc4 registered as external prover. 
% 1.75/1.19  % [INFO] 	 Scanning for conjecture ... 
% 1.87/1.25  % [INFO] 	 Found a conjecture (or negated_conjecture) and 24 axioms. Running axiom selection ... 
% 1.94/1.29  % [INFO] 	 Axiom selection finished. Selected 24 axioms (removed 0 axioms). 
% 1.94/1.32  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.20/1.32  % [INFO] 	 Type checking passed. 
% 2.20/1.33  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 3.18/1.74  % External prover 'e' found a proof!
% 3.18/1.74  % [INFO] 	 Killing All external provers ... 
% 3.18/1.74  % Time passed: 1217ms (effective reasoning time: 755ms)
% 3.18/1.74  % Axioms used in derivation (24): cls_OrderedGroup_Odiff__self_0, cls_OrderedGroup_Odiff__le__0__iff__le_1, cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2, cls_OrderedGroup_Ocompare__rls__2_0, cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0, clsrel_OrderedGroup_Olordered__ab__group__abs_6, cls_OrderedGroup_Oabs__of__nonpos_0, cls_OrderedGroup_Ocompare__rls__8_1, clsrel_Ring__and__Field_Oordered__idom_4, clsrel_Ring__and__Field_Oordered__idom_23, cls_Orderings_Olinorder__not__le_0, cls_Orderings_Oorder__class_Oorder__trans_0, cls_OrderedGroup_Oadd__le__cancel__right_0, cls_OrderedGroup_Oabs__ge__zero_0, cls_OrderedGroup_Ocompare__rls__3_0, cls_Orderings_Oorder__less__imp__le_0, clsrel_LOrder_Ojoin__semilorder_1, clsrel_Ring__and__Field_Oordered__idom_35, cls_OrderedGroup_Oabs__minus__cancel_0, clsrel_Ring__and__Field_Oordered__idom_50, cls_OrderedGroup_Ominus__diff__eq_0, clsrel_OrderedGroup_Olordered__ab__group__abs_1, cls_OrderedGroup_Odiff__minus__eq__add_0, clsrel_Ring__and__Field_Oordered__idom_33
% 3.18/1.74  % No. of inferences in proof: 55
% 3.18/1.74  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1217 ms resp. 755 ms w/o parsing
% 3.54/1.78  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.54/1.78  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------