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Drodi-SAT---4.1.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV917-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p

% 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 : Thu Sep 24 02:53:21 PM UTC 2026

% Result   : Satisfiable 0.14s 0.46s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [V_v,T_a] :
      ( V_v = c_Option_Ooption_ONone(T_a)
      | V_v = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(V_v,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_x,T_a] :
      ( V_x = c_Option_Ooption_ONone(T_a)
      | V_x = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(V_x,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_a,T_a,V_a_H] :
      ( V_a = V_a_H
      | c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [V_x,T_a] : ~ c_Option_Ois__none(c_Option_Ooption_OSome(V_x,T_a),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [V_x,T_a] :
      ( V_x = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(V_x,T_a),T_a)
      | V_x = c_Option_Ooption_ONone(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [V_y,T_a] :
      ( V_y = c_Option_Ooption_ONone(T_a)
      | V_y = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(V_y,T_a),T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [T_a] : c_Option_Ois__none(c_Option_Ooption_ONone(T_a),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [V_xa,T_a] : c_Option_Ooption_OSome(V_xa,T_a) != c_Option_Ooption_ONone(T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [V_x,T_a] :
      ( ~ c_Option_Ois__none(V_x,T_a)
      | V_x = c_Option_Ooption_ONone(T_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_OSome(v_a____,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,negated_conjecture,
    hAPP(v_ha____,v_a____) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1),X1) ),
    inference(cnf_transformation,[status(thm)],[f1]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1),X1) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

fof(f17,plain,
    ! [V_a,V_a_H] :
      ( V_a = V_a_H
      | ! [T_a] : c_Option_Ooption_OSome(V_a,T_a) != c_Option_Ooption_OSome(V_a_H,T_a) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f18,plain,
    ! [X0,X1,X2] :
      ( X0 = X2
      | c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_OSome(X2,X1) ),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f19,plain,
    ! [X0,X1] : ~ c_Option_Ois__none(c_Option_Ooption_OSome(X0,X1),X1),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1),X1)
      | X0 = c_Option_Ooption_ONone(X1) ),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | X0 = c_Option_Ooption_OSome(c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1),X1) ),
    inference(cnf_transformation,[status(thm)],[f6]) ).

fof(f22,plain,
    ! [X0] : c_Option_Ois__none(c_Option_Ooption_ONone(X0),X0),
    inference(cnf_transformation,[status(thm)],[f7]) ).

fof(f23,plain,
    ! [X0,X1] : c_Option_Ooption_OSome(X0,X1) != c_Option_Ooption_ONone(X1),
    inference(cnf_transformation,[status(thm)],[f8]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ c_Option_Ois__none(X0,X1)
      | X0 = c_Option_Ooption_ONone(X1) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f28,plain,
    c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_OSome(v_a____,tc_nat),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f29,plain,
    hAPP(v_ha____,v_a____) != c_Option_Ooption_ONone(tc_prod(tc_List_Olist(tc_String_Ochar),tc_fun(tc_prod(tc_List_Olist(tc_String_Ochar),tc_List_Olist(tc_String_Ochar)),tc_Option_Ooption(tc_Value_Oval)))),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1)
      | X0 = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Option_Ooption_OSome(X0,X1),X1) ),
    inference(resolution,[status(thm)],[f18,f15]) ).

fof(f39,plain,
    ! [X0,X1] : X0 = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Option_Ooption_OSome(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[f34,f23]) ).

fof(f47,plain,
    v_a____ = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat),
    inference(paramodulation,[status(thm)],[f28,f39]) ).

fof(f48,plain,
    ! [X0] :
      ( X0 = v_a____
      | c_Option_Ooption_OSome(X0,tc_nat) != c_Objects_Onew__Addr(v_ha____) ),
    inference(paramodulation,[status(thm)],[f28,f18]) ).

fof(f50,plain,
    ~ c_Option_Ois__none(c_Objects_Onew__Addr(v_ha____),tc_nat),
    inference(paramodulation,[status(thm)],[f28,f19]) ).

fof(f51,plain,
    c_Objects_Onew__Addr(v_ha____) != c_Option_Ooption_ONone(tc_nat),
    inference(paramodulation,[status(thm)],[f28,f23]) ).

fof(f52,plain,
    ( c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat)
    | c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_OSome(v_a____,tc_nat) ),
    inference(paramodulation,[status(thm)],[f47,f15]) ).

fof(f53,definition,
    ( sQ0_spl
  <=> c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_OSome(v_a____,tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f56,definition,
    ( sQ1_spl
  <=> c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f57,plain,
    ( ~ sQ1_spl
    | c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat) ),
    inference(component_clause,[status(thm)],[f56]) ).

fof(f59,plain,
    ( sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f52,f53,f56]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( X0 = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1)
      | c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) ),
    inference(resolution,[status(thm)],[f16,f18]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f16,f39]) ).

fof(f68,plain,
    ! [X0,X1] : X0 = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[f60,f23]) ).

fof(f75,plain,
    v_a____ = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat),
    inference(paramodulation,[status(thm)],[f28,f68]) ).

fof(f80,plain,
    ! [X0,X1] :
      ( X0 = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1)
      | c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) ),
    inference(resolution,[status(thm)],[f20,f18]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f20,f68]) ).

fof(f84,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f20,f39]) ).

fof(f89,plain,
    ! [X0,X1] : X0 = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Option_Ooption_OSome(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[f80,f23]) ).

fof(f97,plain,
    v_a____ = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat),
    inference(paramodulation,[status(thm)],[f28,f89]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( X0 = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Option_Ooption_OSome(X0,X1),X1)
      | c_Option_Ooption_OSome(X0,X1) = c_Option_Ooption_ONone(X1) ),
    inference(resolution,[status(thm)],[f21,f18]) ).

fof(f105,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f21,f89]) ).

fof(f106,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f21,f68]) ).

fof(f107,plain,
    ! [X0,X1] :
      ( X0 = c_Option_Ooption_ONone(X1)
      | c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(X0,X1) = c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(X0,X1) ),
    inference(paramodulation,[status(thm)],[f21,f39]) ).

fof(f112,plain,
    ! [X0,X1] : X0 = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Option_Ooption_OSome(X0,X1),X1),
    inference(forward_subsumption_resolution,[status(thm)],[f102,f23]) ).

fof(f121,plain,
    v_a____ = c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat),
    inference(paramodulation,[status(thm)],[f28,f112]) ).

fof(f125,plain,
    ( c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat)
    | c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    inference(resolution,[status(thm)],[f48,f21]) ).

fof(f126,plain,
    ( c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat)
    | c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    inference(resolution,[status(thm)],[f48,f20]) ).

fof(f127,plain,
    ( c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat)
    | c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    inference(resolution,[status(thm)],[f48,f16]) ).

fof(f128,plain,
    ( c_Objects_Onew__Addr(v_ha____) = c_Option_Ooption_ONone(tc_nat)
    | c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    inference(resolution,[status(thm)],[f48,f15]) ).

fof(f132,plain,
    ( v_a____ = v_a____
    | c_Objects_Onew__Addr(v_ha____) != c_Objects_Onew__Addr(v_ha____) ),
    inference(paramodulation,[status(thm)],[f28,f48]) ).

fof(f134,definition,
    ( sQ2_spl
  <=> c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f137,plain,
    ( sQ1_spl
    | sQ2_spl ),
    inference(split_clause,[status(thm)],[f125,f134,f56]) ).

fof(f138,definition,
    ( sQ3_spl
  <=> c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f141,plain,
    ( sQ1_spl
    | sQ3_spl ),
    inference(split_clause,[status(thm)],[f126,f138,f56]) ).

fof(f142,definition,
    ( sQ4_spl
  <=> c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f145,plain,
    ( sQ1_spl
    | sQ4_spl ),
    inference(split_clause,[status(thm)],[f127,f142,f56]) ).

fof(f146,definition,
    ( sQ5_spl
  <=> c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1(c_Objects_Onew__Addr(v_ha____),tc_nat) = v_a____ ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f149,plain,
    ( sQ1_spl
    | sQ5_spl ),
    inference(split_clause,[status(thm)],[f128,f146,f56]) ).

fof(f154,definition,
    ( sQ6_spl
  <=> c_Objects_Onew__Addr(v_ha____) = c_Objects_Onew__Addr(v_ha____) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f156,plain,
    ( sQ6_spl
    | c_Objects_Onew__Addr(v_ha____) != c_Objects_Onew__Addr(v_ha____) ),
    inference(component_clause,[status(thm)],[f154]) ).

fof(f157,definition,
    ( sQ7_spl
  <=> v_a____ = v_a____ ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f160,plain,
    ( sQ7_spl
    | ~ sQ6_spl ),
    inference(split_clause,[status(thm)],[f132,f154,f157]) ).

fof(f162,plain,
    ( ~ sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f57,f51]) ).

fof(f163,plain,
    ~ sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f162]) ).

fof(f164,plain,
    ( sQ6_spl
    | $false ),
    inference(trivial_equality_resolution,[status(thm)],[f156]) ).

fof(f165,plain,
    sQ6_spl,
    inference(contradiction_clause,[status(thm)],[f164]) ).

fof(model,axiom,
    ( sQ0_spl
    | ~ sQ1_spl
    | sQ2_spl
    | sQ3_spl
    | sQ4_spl
    | sQ5_spl
    | sQ6_spl
    | sQ7_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWV917-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  % Computer : n004.cluster.edu
% 0.14/0.42  % Model    : x86_64 x86_64
% 0.14/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42  % Memory   : 8046.5625MB
% 0.14/0.42  % OS       : Linux 6.8.0-71-generic
% 0.14/0.42  % CPULimit : 300
% 0.14/0.42  % WCLimit  : 300
% 0.14/0.42  % DateTime : Mon Sep 21 09:31:37 UTC 2026
% 0.14/0.43  % CPUTime  : 
% 0.14/0.44  % Drodi V4.1.1
% 0.14/0.46  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.14/0.46  % SZS output start Saturation for theBenchmark
% See solution above
% 0.14/0.56  % Elapsed time: 0.124517 seconds
% 0.14/0.56  % CPU time: 0.120945 seconds
% 0.14/0.56  % Total memory used: 9.724 MB
% 0.14/0.56  % Net memory used: 9.716 MB
%------------------------------------------------------------------------------