%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW334+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 : n024.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 05:04:12 PM UTC 2025
% Result : Theorem 140.00s 18.29s
% Output : CNFRefutation 140.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 0 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_4,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(conj_4_negated,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(negate_conjecture,[status(cth)],[conj_4]) ).
cnf(7326,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(cnf,[status(esa)],[conj_4_negated]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))),
inference(instantiation,[status(thm)],[7326]) ).
fof(fact_Body__triple__valid__Suc,plain,
! [V_Qa_2,V_pn_2,V_Pa_2,V_n_2,T_b] :
( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Qa_2))
<=> c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),hAPP(c_Com_Ocom_OBODY,V_pn_2)),V_Qa_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Body__triple__valid__Suc) ).
cnf(1,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4))
| c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(c_Nat_OSuc,X1),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4)) ),
inference(cnf,[status(esa)],[fact_Body__triple__valid__Suc]) ).
cnf(l1,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))),v_Q(v_x)))
| c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),v_Q(v_x))) ),
inference(instantiation,[status(thm)],[1]) ).
fof(conj_3,plain,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_Procs))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(B_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,B_x))),v_Q(B_x))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
cnf(7325,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(X0)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0))),v_Q(X0))) ),
inference(cnf,[status(esa)],[conj_3]) ).
cnf(l2,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P(v_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_x))),v_Q(v_x))) ),
inference(instantiation,[status(thm)],[7325]) ).
fof(conj_0,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(7322,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l3,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)),
inference(instantiation,[status(thm)],[7322]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW334+1 : TPTP v9.0.0. Released v5.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 22 13:23:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.46/0.69 % launching worker at depth: 1
% 0.46/0.69 % launching worker at depth: 3
% 0.46/0.69 % launching worker at depth: 5
% 0.46/0.69 % launching worker at depth: 6
% 0.46/0.69 % launching worker at depth: 4
% 0.46/0.69 % launching worker at depth: 2
% 0.46/0.69 % launching worker at depth: 7
% 0.46/0.69 % launching worker at depth: 8
% 0.46/0.69 % launching worker at depth: 9
% 3.59/1.14 % launching worker at depth: 10
% 140.00/18.29 % SZS status Theorem for theBenchmark
% 140.00/18.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------