%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW313+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 : n031.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 05:04:10 PM UTC 2025
% Result : Theorem 29.27s 4.33s
% Output : CNFRefutation 29.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_2,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(conj_2_negated,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negate_conjecture,[status(cth)],[conj_2]) ).
cnf(7424,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf,[status(esa)],[conj_2_negated]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(instantiation,[status(thm)],[7424]) ).
fof(fact_cut,plain,
! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
=> ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_cut) ).
cnf(3,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X3)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X3) ),
inference(cnf,[status(esa)],[fact_cut]) ).
cnf(l1,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ),
inference(instantiation,[status(thm)],[3]) ).
fof(fact_asm,plain,
! [V_G_2,V_tsa_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_G_2))
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_asm) ).
cnf(1,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(X0),tc_HOL_Obool)),X1),X2))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X2,X1) ),
inference(cnf,[status(esa)],[fact_asm]) ).
cnf(l2,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l9,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))
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(instantiation,[status(thm)],[1]) ).
fof(conj_1,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(7423,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(cnf,[status(esa)],[conj_1]) ).
cnf(l3,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),v_Ga)),
inference(instantiation,[status(thm)],[7423]) ).
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/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(7422,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(l12,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)],[7422]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9,l3,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW313+1 : TPTP v9.0.0. Released v5.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n031.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 13:21:04 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.47/0.67 % launching worker at depth: 2
% 0.47/0.67 % launching worker at depth: 1
% 0.47/0.67 % launching worker at depth: 4
% 0.47/0.67 % launching worker at depth: 5
% 0.47/0.67 % launching worker at depth: 3
% 0.47/0.67 % launching worker at depth: 6
% 0.47/0.67 % launching worker at depth: 7
% 0.47/0.67 % launching worker at depth: 8
% 0.47/0.67 % launching worker at depth: 9
% 1.56/0.82 % launching worker at depth: 10
% 29.27/4.33 % SZS status Theorem for theBenchmark
% 29.27/4.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------