TSTP Solution File: LAT268-10 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT268-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n005.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 : Thu Aug 31 06:30:13 EDT 2023

% Result   : Unsatisfiable 0.17s 0.40s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (  32 unt;   0 def)
%            Number of atoms       :   32 (  31 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  10 con; 0-4 aty)
%            Number of variables   :   40 (;  40   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f74,plain,
    $false,
    inference(subsumption_resolution,[],[f72,f13]) ).

fof(f13,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(forward_demodulation,[],[f4,f2]) ).

fof(f2,axiom,
    c_lessequals(v_S,v_A,tc_set(t_a)) = true,
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_conjecture_0) ).

fof(f4,axiom,
    true != c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_conjecture_2) ).

fof(f72,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),
    inference(superposition,[],[f61,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',ifeq_axiom) ).

fof(f61,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(c_Tarski_Oglb(v_S,v_cl,t_a),v_x,t_a,t_a),v_r,tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(superposition,[],[f18,f56]) ).

fof(f56,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),
    inference(superposition,[],[f52,f1]) ).

fof(f52,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f51,f1]) ).

fof(f51,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f48,f2]) ).

fof(f48,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(true,c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(v_x,c_Tarski_Oglb(v_S,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(superposition,[],[f35,f3]) ).

fof(f3,axiom,
    true = c_in(v_x,v_S,t_a),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_conjecture_1) ).

fof(f35,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Oglb(X0,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f34,f5]) ).

fof(f5,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_OA_A_61_61_Apset_Acl_0) ).

fof(f34,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Oglb(X0,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f33,f11]) ).

fof(f11,axiom,
    ! [X4,X5] : c_Tarski_Opotype_Opset(X4,X5,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(c_Tarski_Odual(X4,X5),X5,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0) ).

fof(f33,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Oglb(X0,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f32,f1]) ).

fof(f32,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Oglb(X0,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f31,f15]) ).

fof(f15,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(forward_demodulation,[],[f9,f2]) ).

fof(f9,axiom,
    true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_Odual_Acl_A_58_APartialOrder_0) ).

fof(f31,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Oglb(X0,v_cl,t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f30,f10]) ).

fof(f10,axiom,
    ! [X3,X4,X5] : c_Tarski_Oglb(X3,X4,X5) = c_Tarski_Olub(X3,c_Tarski_Odual(X4,X5),X5),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_Oglb__dual__lub_0) ).

fof(f30,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f21,f1]) ).

fof(f21,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X0,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_lessequals(v_S,v_A,tc_set(t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X1,X0,t_a),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,c_Tarski_Olub(X0,c_Tarski_Odual(v_cl,t_a),t_a),t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(superposition,[],[f17,f14]) ).

fof(f14,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)) = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    inference(forward_demodulation,[],[f8,f2]) ).

fof(f8,axiom,
    true = c_in(c_Tarski_Odual(v_cl,t_a),c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_Odual_Acl_A_58_ACompleteLattice_0) ).

fof(f17,plain,
    ! [X3,X6,X4,X5] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_lessequals(X3,c_Tarski_Opotype_Opset(X4,X5,tc_Product__Type_Ounit),tc_set(X5)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X4,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),c_lessequals(v_S,v_A,tc_set(t_a)),ifeq(c_in(X6,X3,X5),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X6,c_Tarski_Olub(X3,X4,X5),X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f6,f2]) ).

fof(f6,axiom,
    ! [X3,X6,X4,X5] : true = ifeq(c_lessequals(X3,c_Tarski_Opotype_Opset(X4,X5,tc_Product__Type_Ounit),tc_set(X5)),true,ifeq(c_in(X4,c_Tarski_OCompleteLattice,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),true,ifeq(c_in(X4,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X5,tc_Product__Type_Ounit)),true,ifeq(c_in(X6,X3,X5),true,c_in(c_Pair(X6,c_Tarski_Olub(X3,X4,X5),X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true),true),true),true),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_OCL_Olub__upper_0) ).

fof(f18,plain,
    ! [X0,X1] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_in(c_Pair(X0,X1,t_a,t_a),c_Tarski_Opotype_Oorder(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X1,X0,t_a,t_a),v_r,tc_prod(t_a,t_a)),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(superposition,[],[f16,f12]) ).

fof(f12,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f16,plain,
    ! [X6,X7,X4,X5] : c_lessequals(v_S,v_A,tc_set(t_a)) = ifeq(c_in(c_Pair(X6,X7,X5,X5),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X4,X5),X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),c_lessequals(v_S,v_A,tc_set(t_a)),c_in(c_Pair(X7,X6,X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),c_lessequals(v_S,v_A,tc_set(t_a))),
    inference(forward_demodulation,[],[f7,f2]) ).

fof(f7,axiom,
    ! [X6,X7,X4,X5] : true = ifeq(c_in(c_Pair(X6,X7,X5,X5),c_Tarski_Opotype_Oorder(c_Tarski_Odual(X4,X5),X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true,c_in(c_Pair(X7,X6,X5,X5),c_Tarski_Opotype_Oorder(X4,X5,tc_Product__Type_Ounit),tc_prod(X5,X5)),true),
    file('/export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574',cls_Tarski_O_Ix1_M_Ay1_J_A_58_Aorder_A_Idual_Acl_J_A_61_61_A_Iy1_M_Ax1_J_A_58_Aorder_Acl_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LAT268-10 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 07:34:08 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.13/0.34  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.UGkHJYAC3W/Vampire---4.8_29574
% 0.13/0.34  % (29689)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.40  % (29696)dis+10_50_av=off:sims=off:sp=weighted_frequency:tgt=full_325 on Vampire---4 for (325ds/0Mi)
% 0.17/0.40  % (29694)dis+10_5:4_av=off:bd=off:drc=off:fde=unused:nwc=1.5:sims=off:to=lpo:tgt=ground_445 on Vampire---4 for (445ds/0Mi)
% 0.17/0.40  % (29693)lrs+10_10_av=off:bd=off:fde=unused:nwc=4.0:sims=off:sp=occurrence:to=lpo:stl=125_468 on Vampire---4 for (468ds/0Mi)
% 0.17/0.40  % (29692)lrs+10_64_av=off:drc=off:nwc=1.1:sims=off:stl=125_839 on Vampire---4 for (839ds/0Mi)
% 0.17/0.40  % (29695)ott+10_64_av=off:bd=preordered:drc=off:fde=unused:sims=off:sp=reverse_arity:tgt=ground_392 on Vampire---4 for (392ds/0Mi)
% 0.17/0.40  % (29690)dis+10_2_av=off:bd=preordered:drc=off:nwc=1.2:sims=off:sp=reverse_frequency:to=lpo:tgt=ground_1169 on Vampire---4 for (1169ds/0Mi)
% 0.17/0.40  % (29693)First to succeed.
% 0.17/0.40  % (29692)Also succeeded, but the first one will report.
% 0.17/0.40  % (29690)Also succeeded, but the first one will report.
% 0.17/0.40  % (29693)Refutation found. Thanks to Tanya!
% 0.17/0.40  % SZS status Unsatisfiable for Vampire---4
% 0.17/0.40  % SZS output start Proof for Vampire---4
% See solution above
% 0.17/0.40  % (29693)------------------------------
% 0.17/0.40  % (29693)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.17/0.40  % (29693)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.17/0.40  % (29693)Termination reason: Refutation
% 0.17/0.40  
% 0.17/0.40  % (29693)Memory used [KB]: 1151
% 0.17/0.40  % (29693)Time elapsed: 0.006 s
% 0.17/0.40  % (29693)------------------------------
% 0.17/0.40  % (29693)------------------------------
% 0.17/0.41  % (29689)Success in time 0.059 s
% 0.17/0.41  % Vampire---4.8 exiting
%------------------------------------------------------------------------------