%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW294+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 05:04:08 PM UTC 2025
% Result : Theorem 0.96s 0.82s
% Output : CNFRefutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 2 |; 0 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-4 aty)
% Number of variables : 17 ( 1 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,plain,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)
=> v_Q(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(conj_0_negated,plain,
~ ! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),B_s_H)
=> v_Q(B_Z,B_s_H) ) ),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(7322,plain,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK597,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK598),
inference(cnf,[status(esa)],[conj_0_negated]) ).
cnf(l0,plain,
c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK597,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK598),
inference(instantiation,[status(thm)],[7322]) ).
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/sandbox2/benchmark/theBenchmark.p',fact_evaln__elim__cases_I6_J) ).
cnf(286,plain,
( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,X2,X3)
| X2 = hAPP(c_Nat_OSuc,sK33(X3,X2,X1,X0)) ),
inference(cnf,[status(esa)],[fact_evaln__elim__cases_I6_J]) ).
cnf(l1,plain,
( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),sK597,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK598)
| c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Nat_OSuc,sK33(sK598,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK597,v_pn)) ),
inference(instantiation,[status(thm)],[286]) ).
fof(fact_Zero__neq__Suc,plain,
! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Zero__neq__Suc) ).
cnf(302,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,X0),
inference(cnf,[status(esa)],[fact_Zero__neq__Suc]) ).
cnf(l2,plain,
c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,sK33(sK598,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),sK597,v_pn)),
inference(instantiation,[status(thm)],[302]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWW294+1 : TPTP v9.0.0. Released v5.2.0.
% 0.05/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31 % Computer : n024.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Jul 22 13:17:34 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.51/0.73 % launching worker at depth: 4
% 0.51/0.73 % launching worker at depth: 2
% 0.51/0.73 % launching worker at depth: 1
% 0.51/0.73 % launching worker at depth: 3
% 0.51/0.73 % launching worker at depth: 6
% 0.51/0.73 % launching worker at depth: 5
% 0.51/0.73 % launching worker at depth: 7
% 0.51/0.73 % launching worker at depth: 8
% 0.51/0.74 % launching worker at depth: 9
% 0.96/0.82 % SZS status Theorem for theBenchmark
% 0.96/0.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------