%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 09:07:47 AM UTC 2026
% Result : Theorem 32.96s 33.24s
% Output : Proof 32.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 23 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 15 ( 8 ~; 0 |; 6 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 8 con; 0-2 aty)
% Number of variables : 47 ( 7 sgn 26 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_falseE,axiom,
! [V_Q_2,V_ca_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
file('theBenchmark.p',fact_falseE) ).
fof(conj_0,conjecture,
( ? [B_Z,B_x1] : v_P(B_Z,B_x1)
=> ? [B_P_H,B_Q_H] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ),
file('theBenchmark.p',conj_0) ).
fof(f_2414_1,plain,
! [V_Q_2,V_ca_2,V_Ga_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),V_ca_2),V_Q_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
inference(fof_nnf,[status(thm)],[fact_falseE]) ).
fof(f_2414_2,plain,
! [U_8414,U_8413,U_8412,U_8411] : c_Hoare__Mirabelle_Ohoare__derivs(U_8411,U_8412,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(U_8411)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(U_8411),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),U_8411),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),U_8413),U_8414)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(U_8411),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[f_2414_1]) ).
fof(f_2414_3,plain,
! [U_8411,U_8412,U_8413,U_8414] : c_Hoare__Mirabelle_Ohoare__derivs(U_8411,U_8412,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(U_8411)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(U_8411),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),U_8411),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),U_8413),U_8414)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(U_8411),tc_HOL_Obool)))),
inference(definitional_conversion,[status(esa)],[f_2414_2]) ).
cnf(f_2414_4,plain,
c_Hoare__Mirabelle_Ohoare__derivs(U_8411,U_8412,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(U_8411)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(U_8411),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),U_8411),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),U_8413),U_8414)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(U_8411),tc_HOL_Obool)))),
inference(clausify,[status(thm)],[f_2414_3]) ).
fof(f_5228_1,negated_conjecture,
( ~ ? [B_P_H,B_Q_H] : c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ? [B_Z,B_x1] : v_P(B_Z,B_x1) ),
inference(negate,[status(cth)],[conj_0]) ).
fof(f_5228_2,negated_conjecture,
( ! [B_P_H,B_Q_H] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),B_P_H),v_c),B_Q_H)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ? [B_Z,B_x1] : v_P(B_Z,B_x1) ),
inference(fof_nnf,[status(thm)],[f_5228_1]) ).
fof(f_5228_3,negated_conjecture,
( ! [U_20992,U_20991] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),U_20992),v_c),U_20991)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ? [U_20990,U_20989] : v_P(U_20990,U_20989) ),
inference(variable_rename,[status(thm)],[f_5228_2]) ).
fof(f_5228_4,negated_conjecture,
( ! [U_20992,U_20991] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),U_20992),v_c),U_20991)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ? [U_20989] : v_P(sK590,U_20989) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK590]),skolemize(U_20990,sK590)],[f_5228_3]) ).
fof(f_5228_5,negated_conjecture,
( ! [U_20992,U_20991] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),U_20992),v_c),U_20991)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& v_P(sK590,sK591) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK591]),skolemize(U_20989,sK591)],[f_5228_4]) ).
fof(f_5228_6,negated_conjecture,
( ! [U_20991,U_20992] : ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),U_20992),v_c),U_20991)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& v_P(sK590,sK591) ),
inference(definitional_conversion,[status(esa)],[f_5228_5]) ).
cnf(f_5228_8,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),U_20992),v_c),U_20991)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(clausify,[status(thm)],[f_5228_6]) ).
cnf(t1,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),U_240488)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(start,[status(thm),parent(0:0)],[f_5228_8]) ).
cnf(t2,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),v_c),U_240488)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(extension,[status(thm),parent(t1:1)],[f_2414_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW390+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 This is a FOF_CAX_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 20 05:26:19 UTC 2026
% 0.09/0.37 % CPUTime :
% 32.96/33.24 % SZS status Theorem for theBenchmark
% 32.96/33.24 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------