%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW293+1 : TPTP v9.0.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 05:04:08 PM UTC 2025
% Result : Theorem 134.38s 17.53s
% Output : CNFRefutation 134.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 8 unt; 0 def)
% Number of atoms : 23 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 4 |; 0 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-5 aty)
% Number of variables : 24 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(7320,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),
inference(instantiation,[status(thm)],[7320]) ).
fof(fact_triple__valid__def2,plain,
! [V_Qa_2,V_c_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),V_c_2),V_Qa_2))
<=> ! [B_Z,B_s] :
( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
=> ! [B_s_H] :
( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)
=> hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_triple__valid__def2) ).
cnf(15,plain,
( c_Hoare__Mirabelle_Otriple__valid(X0,X1,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X0),X2),X3),X4))
| c_Natural_Oevaln(X3,sK3(X4,X3,X2,X1,X0),X1,sK4(X4,X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[fact_triple__valid__def2]) ).
cnf(l1,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q))
| c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK3(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK4(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a)) ),
inference(instantiation,[status(thm)],[15]) ).
fof(fact_evaln__elim__cases_I6_J,plain,
! [V_s1,V_n,V_s,V_P] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
=> ~ ! [B_n] :
( V_n = hAPP(c_Nat_OSuc,B_n)
=> ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_evaln__elim__cases_I6_J) ).
cnf(289,plain,
( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,X2,X3)
| X2 = hAPP(c_Nat_OSuc,sK39(X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[fact_evaln__elim__cases_I6_J]) ).
cnf(l2,plain,
( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK3(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK4(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a))
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,sK39(sK4(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK3(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),v_pn)) ),
inference(instantiation,[status(thm)],[289]) ).
fof(fact_Zero__not__Suc,plain,
! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Zero__not__Suc) ).
cnf(309,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X0),
inference(cnf,[status(esa)],[fact_Zero__not__Suc]) ).
cnf(l4,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,sK39(sK4(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK3(v_Q,hAPP(c_Com_Ocom_OBODY,v_pn),v_P,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),t_a),v_pn)),
inference(instantiation,[status(thm)],[309]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW293+1 : TPTP v9.0.0. Released v5.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 13:17:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.53/0.72 % launching worker at depth: 2
% 0.53/0.72 % launching worker at depth: 3
% 0.53/0.72 % launching worker at depth: 7
% 0.53/0.72 % launching worker at depth: 4
% 0.53/0.72 % launching worker at depth: 5
% 0.53/0.72 % launching worker at depth: 8
% 0.53/0.72 % launching worker at depth: 1
% 0.53/0.72 % launching worker at depth: 6
% 0.53/0.72 % launching worker at depth: 9
% 0.95/0.79 % launching worker at depth: 10
% 134.38/17.53 % SZS status Theorem for theBenchmark
% 134.38/17.53 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------