%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW337+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 05:04:12 PM UTC 2025
% Result : Theorem 2.46s 1.00s
% Output : CNFRefutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 9 ~; 6 |; 0 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,plain,
! [B_n] :
( ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
=> ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(conj_1_negated,plain,
~ ! [B_n] :
( ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
=> ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) ) ),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(7416,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK692,X0) ),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l0,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK693),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK692,sK693) ),
inference(instantiation,[status(thm)],[7416]) ).
cnf(7418,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK692,sK693),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l4,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK692,sK693),
inference(instantiation,[status(thm)],[7418]) ).
fof(fact_set__rev__mp,plain,
! [V_B_2,V_A_2,V_x_2,T_b] :
( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_set__rev__mp) ).
cnf(949,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_member(X0),X3),X1))
| hBOOL(hAPP(hAPP(c_member(X0),X3),X2)) ),
inference(cnf,[status(esa)],[fact_set__rev__mp]) ).
cnf(l1,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK693),v_ts))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK693),v_G)) ),
inference(instantiation,[status(thm)],[949]) ).
cnf(7417,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK693),v_ts)),
inference(cnf,[status(esa)],[conj_1_negated]) ).
cnf(l3,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK693),v_ts)),
inference(instantiation,[status(thm)],[7417]) ).
fof(conj_0,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(7415,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l5,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_G)),
inference(instantiation,[status(thm)],[7415]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l1,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW337+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
% 0.12/0.34 % Computer : n028.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 13:24:49 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.46/0.68 % launching worker at depth: 5
% 0.46/0.68 % launching worker at depth: 6
% 0.46/0.68 % launching worker at depth: 8
% 0.46/0.68 % launching worker at depth: 2
% 0.46/0.68 % launching worker at depth: 7
% 0.46/0.68 % launching worker at depth: 3
% 0.46/0.68 % launching worker at depth: 1
% 0.46/0.68 % launching worker at depth: 4
% 1.14/0.77 % launching worker at depth: 9
% 2.46/1.00 % SZS status Theorem for theBenchmark
% 2.46/1.00 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------