%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW353+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 : Fri Jul 25 05:04:13 PM UTC 2025
% Result : Theorem 34.58s 4.94s
% Output : CNFRefutation 34.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-3 aty)
% Number of variables : 12 ( 1 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_3,plain,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(conj_3_negated,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(negate_conjecture,[status(cth)],[conj_3]) ).
cnf(7415,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf,[status(esa)],[conj_3_negated]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(instantiation,[status(thm)],[7415]) ).
fof(conj_1,plain,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,B_x))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(7413,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(cnf,[status(esa)],[conj_1]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(instantiation,[status(thm)],[7413]) ).
fof(fact_domI,plain,
! [T_b,V_b_2,T_a,V_a_2,V_m_2] :
( hAPP(V_m_2,V_a_2) = hAPP(c_Option_Ooption_OSome(T_a),V_b_2)
=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Map_Odom(T_b,T_a,V_m_2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_domI) ).
cnf(446,plain,
( hAPP(X0,X1) != hAPP(c_Option_Ooption_OSome(X2),X3)
| hBOOL(hAPP(hAPP(c_member(X4),X1),c_Map_Odom(X4,X2,X0))) ),
inference(cnf,[status(esa)],[fact_domI]) ).
cnf(l2,plain,
( hAPP(c_Com_Obody,v_pname) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y)
| hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_pname),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(instantiation,[status(thm)],[446]) ).
fof(conj_2,plain,
hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
cnf(7414,plain,
hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf,[status(esa)],[conj_2]) ).
cnf(l3,plain,
hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(instantiation,[status(thm)],[7414]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWW353+1 : TPTP v9.0.0. Released v5.2.0.
% 0.06/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n019.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 : Tue Jul 22 13:27:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.48/0.66 % launching worker at depth: 1
% 0.48/0.66 % launching worker at depth: 2
% 0.48/0.66 % launching worker at depth: 6
% 0.48/0.66 % launching worker at depth: 7
% 0.48/0.66 % launching worker at depth: 5
% 0.48/0.66 % launching worker at depth: 3
% 0.48/0.66 % launching worker at depth: 4
% 0.48/0.66 % launching worker at depth: 8
% 0.48/0.66 % launching worker at depth: 9
% 2.66/0.97 % launching worker at depth: 10
% 34.58/4.94 % SZS status Theorem for theBenchmark
% 34.58/4.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------