%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWW315+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 : 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 1.14s 0.85s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 28 ( 13 ~; 10 |; 0 &)
% ( 0 <=>; 5 =>; 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_4,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
fof(conj_4_negated,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negate_conjecture,[status(cth)],[conj_4]) ).
cnf(7426,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(cnf,[status(esa)],[conj_4_negated]) ).
cnf(l0,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(instantiation,[status(thm)],[7426]) ).
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/sandbox/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/sandbox/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]) ).
fof(fact_weaken,plain,
! [V_tsa_2,V_ts_H_2,V_G_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_ts_H_2)
=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_tsa_2),V_ts_H_2))
=> c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_weaken) ).
cnf(2,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,X3,X2)
| c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1) ),
inference(cnf,[status(esa)],[fact_weaken]) ).
cnf(l3,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts_H)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts) ),
inference(instantiation,[status(thm)],[2]) ).
fof(conj_0,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
cnf(7422,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts_H),
inference(cnf,[status(esa)],[conj_0]) ).
cnf(l8,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,v_ts_H),
inference(instantiation,[status(thm)],[7422]) ).
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_ts),v_ts_H)),
file('/export/starexec/sandbox/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_ts),v_ts_H)),
inference(cnf,[status(esa)],[conj_1]) ).
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_ts_H)),
inference(instantiation,[status(thm)],[7423]) ).
fof(conj_2,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/sandbox/benchmark/theBenchmark.p',conj_2) ).
cnf(7424,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_2]) ).
cnf(l4,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)],[7424]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l8,l5,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWW315+1 : TPTP v9.0.0. Released v5.2.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Computer : n031.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Jul 22 13:21:04 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.48/0.67 % launching worker at depth: 1
% 0.48/0.67 % launching worker at depth: 7
% 0.48/0.67 % launching worker at depth: 3
% 0.48/0.67 % launching worker at depth: 4
% 0.48/0.67 % launching worker at depth: 5
% 0.48/0.67 % launching worker at depth: 6
% 0.48/0.67 % launching worker at depth: 2
% 0.48/0.67 % launching worker at depth: 8
% 0.48/0.67 % launching worker at depth: 9
% 1.14/0.85 % SZS status Theorem for theBenchmark
% 1.14/0.85 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------