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Leo-III---1.8.0.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39

% Computer : n004.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 : Sun Sep 27 09:00:50 AM UTC 2026

% Result   : Unsatisfiable 4.10s 7.56s
% Output   : Refutation 4.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   53 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :   97 (  28 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  396 (  54   ~;  44   |;   0   &; 298   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   19 (  17 usr;  10 con; 0-5 aty)
%            Number of variables   :  144 (   0   ^; 144   !;   0   ?; 144   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_Hoare__Mirabelle_Ostate__not__singleton_decl,type,
    c_Hoare__Mirabelle_Ostate__not__singleton: $o ).

thf(v_s_H_decl,type,
    v_s_H: $i ).

thf(c_Natural_Oevalc_decl,type,
    c_Natural_Oevalc: $i > $i > $i > $o ).

thf(v_c_decl,type,
    v_c: $i ).

thf(v_Z_decl,type,
    v_Z: $i ).

thf(c_Natural_Oevaln_decl,type,
    c_Natural_Oevaln: $i > $i > $i > $i > $o ).

thf(c_Natural_Osko__Natural__Xevaln__elim__cases__4__1_decl,type,
    c_Natural_Osko__Natural__Xevaln__elim__cases__4__1: $i > $i > $i > $i > $i > $i ).

thf(c_Com_Ocom_OSemi_decl,type,
    c_Com_Ocom_OSemi: $i > $i > $i ).

thf(c_Com_Ocom_OSKIP_decl,type,
    c_Com_Ocom_OSKIP: $i ).

thf(c_Natural_Osko__Natural__Xevalc__elim__cases__4__1_decl,type,
    c_Natural_Osko__Natural__Xevalc__elim__cases__4__1: $i > $i > $i > $i > $i ).

thf(c_Natural_Osko__Natural__Xeval__eq__1__1_decl,type,
    c_Natural_Osko__Natural__Xeval__eq__1__1: $i > $i > $i > $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1_decl,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1: $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2_decl,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2: $i ).

thf(v_sko__Hoare__Mirabelle__Xsingle__stateE__1_decl,type,
    v_sko__Hoare__Mirabelle__Xsingle__stateE__1: $i > $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1_decl,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1: $i ).

thf(v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2_decl,type,
    v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2: $i ).

thf(c_Natural_Osko__Natural__Xevalc__evaln__1__1_decl,type,
    c_Natural_Osko__Natural__Xevalc__evaln__1__1: $i > $i > $i > $i ).

thf(6,axiom,
    ! [B: $i,A: $i] :
      ( c_Com_Ocom_OSKIP
     != ( B @ ( A @ c_Com_Ocom_OSemi ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I12_J_0) ).

thf(37,plain,
    ! [B: $i,A: $i] :
      ( c_Com_Ocom_OSKIP
     != ( B @ ( A @ c_Com_Ocom_OSemi ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(11,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = D )
      | ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
       != ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_1) ).

thf(52,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( B = D )
      | ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
       != ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(24,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( A @ c_Natural_Oevalc ) ) )
      | ~ ( D @ ( E @ ( B @ c_Natural_Oevalc ) ) )
      | ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSemi_0) ).

thf(84,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( A @ c_Natural_Oevalc ) ) )
      | ~ ( D @ ( E @ ( B @ c_Natural_Oevalc ) ) )
      | ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(26,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ ( C @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
      | ( D @ ( B @ ( C @ ( A @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_0) ).

thf(89,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( B @ ( C @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
      | ( D @ ( B @ ( C @ ( A @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(14,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
      | ( D @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( A @ c_Natural_Oevalc ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I4_J_1) ).

thf(60,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( D @ ( C @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevalc ) ) )
      | ( D @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 ) ) ) @ ( A @ c_Natural_Oevalc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__elim__cases_I1_J_0) ).

thf(65,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
      | ( ( A @ v_sko__Hoare__Mirabelle__Xsingle__stateE__1 )
       != A ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_single__stateE_0) ).

thf(73,plain,
    ! [A: $i] :
      ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
      | ( ( A @ v_sko__Hoare__Mirabelle__Xsingle__stateE__1 )
       != A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(1,negated_conjecture,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

thf(27,plain,
    c_Hoare__Mirabelle_Ostate__not__singleton,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(25,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ ( C @ c_Natural_Oevalc ) ) )
      | ~ ( A @ ( D @ ( C @ c_Natural_Oevalc ) ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).

thf(86,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( B @ ( D @ ( C @ c_Natural_Oevalc ) ) )
      | ~ ( A @ ( D @ ( C @ c_Natural_Oevalc ) ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(21,axiom,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_0) ).

thf(76,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(16,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
      | ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__evalc_0) ).

thf(63,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
      | ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(8,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( D @ ( C @ ( A @ c_Natural_Oevaln ) ) ) )
      | ~ ( E @ ( D @ ( F @ ( B @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSemi_0) ).

thf(43,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( F @ ( D @ ( C @ ( A @ c_Natural_Oevaln ) ) ) )
      | ~ ( E @ ( D @ ( F @ ( B @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( D @ ( C @ ( B @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(7,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
      | ( A = B ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I1_J_0) ).

thf(40,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) )
      | ( A = B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(22,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | c_Hoare__Mirabelle_Ostate__not__singleton ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def_1) ).

thf(79,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | c_Hoare__Mirabelle_Ostate__not__singleton ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(12,axiom,
    ! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln_OSkip_0) ).

thf(57,plain,
    ! [B: $i,A: $i] : ( A @ ( B @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevaln ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(3,negated_conjecture,
    ! [A: $i] :
      ~ ( A @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

thf(29,plain,
    ! [A: $i] :
      ~ ( A @ ( v_Z @ ( v_c @ c_Natural_Oevalc ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(2,negated_conjecture,
    ! [A: $i] : ( A = v_s_H ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

thf(28,plain,
    ! [A: $i] : ( A = v_s_H ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(19,axiom,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_state__not__singleton__def__raw_0) ).

thf(70,plain,
    ( ~ c_Hoare__Mirabelle_Ostate__not__singleton
    | ( v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 != v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(9,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( B @ ( D @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( B @ ( C @ ( D @ ( A @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_0) ).

thf(45,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( B @ ( D @ ( A @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( B @ ( C @ ( D @ ( A @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( C @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(4,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( D @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( C @ ( E @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evaln__elim__cases_I4_J_1) ).

thf(32,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( E @ ( C @ ( D @ ( A @ ( B @ c_Com_Ocom_OSemi ) @ c_Natural_Oevaln ) ) ) )
      | ( E @ ( C @ ( E @ ( D @ ( C @ ( A @ ( B @ c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 ) ) ) ) @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(5,axiom,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
     != c_Com_Ocom_OSKIP ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).

thf(34,plain,
    ! [B: $i,A: $i] :
      ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
     != c_Com_Ocom_OSKIP ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(13,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
      | ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_1) ).

thf(58,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( D @ ( B @ ( A @ c_Natural_Oevaln ) ) ) )
      | ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(23,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
      | ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xevalc__evaln__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc__evaln_0) ).

thf(82,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
      | ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xevalc__evaln__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(10,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
       != ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I3_J_0) ).

thf(47,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ( A = C )
      | ( ( B @ ( A @ c_Com_Ocom_OSemi ) )
       != ( D @ ( C @ c_Com_Ocom_OSemi ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(18,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
      | ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xeval__eq__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_eval__eq_0) ).

thf(68,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ ( A @ c_Natural_Oevalc ) ) )
      | ( C @ ( C @ ( B @ ( A @ c_Natural_Osko__Natural__Xeval__eq__1__1 ) ) @ ( B @ ( A @ c_Natural_Oevaln ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(15,axiom,
    ! [A: $i] : ( A @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_evalc_OSkip_0) ).

thf(62,plain,
    ! [A: $i] : ( A @ ( A @ ( c_Com_Ocom_OSKIP @ c_Natural_Oevalc ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(91,plain,
    $false,
    inference(e,[status(thm)],[37,52,84,89,60,65,73,27,86,76,63,43,40,79,57,29,28,70,45,32,34,58,82,47,68,62]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV866-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.15/5.42  % Computer : n004.cluster.edu
% 0.15/5.42  % Model    : x86_64 x86_64
% 0.15/5.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.42  % Memory   : 8046.5625MB
% 0.15/5.42  % OS       : Linux 6.8.0-71-generic
% 0.15/5.43  % CPULimit : 300
% 0.15/5.43  % WCLimit  : 300
% 0.15/5.43  % DateTime : Sat Sep 26 15:05:27 UTC 2026
% 0.15/5.43  % CPUTime  : 
% 0.15/5.43  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox/solver/bin/leo3.jar /export/starexec/sandbox/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox/solver/bin/externals/eprover --instantiate 39
% 0.19/6.03  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.37/6.24  % [INFO] 	 Parsing done (208ms). 
% 1.37/6.25  % [INFO] 	 Running in sequential loop mode. 
% 2.07/6.65  % [INFO] 	 eprover registered as external prover. 
% 2.07/6.66  % [INFO] 	 Scanning for conjecture ... 
% 2.28/6.76  % [INFO] 	 Found a conjecture (or negated_conjecture) and 23 axioms. Running axiom selection ... 
% 2.48/6.83  % [INFO] 	 Axiom selection finished. Selected 23 axioms (removed 0 axioms). 
% 2.48/6.87  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.48/6.87  % [INFO] 	 Type checking passed. 
% 2.48/6.88  % [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 ... 
% 2.97/7.05  % [INFO] 	 [Domain constraints] Detected constraint on $i 
% 2.97/7.06  % [INFO] 	 [Domain constraints] dom($i) ⊆ {v_s_H} 
% 4.10/7.55  % External prover 'e' found a proof!
% 4.10/7.56  % [INFO] 	 Killing All external provers ... 
% 4.10/7.56  % Time passed: 1985ms (effective reasoning time: 1297ms)
% 4.10/7.56  % Axioms used in derivation (23): cls_com_Osimps_I3_J_0, cls_evalc_OSemi_0, cls_evalc__evaln_0, cls_state__not__singleton__def_1, cls_eval__eq_1, cls_com_Osimps_I12_J_0, cls_single__stateE_0, cls_evaln__evalc_0, cls_evaln__elim__cases_I1_J_0, cls_state__not__singleton__def_0, cls_evalc__elim__cases_I4_J_1, cls_evaln__elim__cases_I4_J_0, cls_state__not__singleton__def__raw_0, cls_evaln_OSkip_0, cls_evalc__elim__cases_I1_J_0, cls_evalc_OSkip_0, cls_evalc__elim__cases_I4_J_0, cls_evaln_OSemi_0, cls_com__det_0, cls_com_Osimps_I3_J_1, cls_eval__eq_0, cls_com_Osimps_I13_J_0, cls_evaln__elim__cases_I4_J_1
% 4.10/7.56  % No. of inferences in proof: 53
% 4.10/7.56  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : 1985 ms resp. 1297 ms w/o parsing
% 4.42/7.62  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.42/7.62  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------