%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : SWW315+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 09:06:14 AM UTC 2026
% Result : Theorem 31.77s 32.13s
% Output : Proof 31.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 20 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_weaken,axiom,
! [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('theBenchmark.p',fact_weaken) ).
fof(conj_1,hypothesis,
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('theBenchmark.p',conj_1) ).
fof(conj_3,hypothesis,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
file('theBenchmark.p',conj_3) ).
fof(conj_4,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('theBenchmark.p',conj_4) ).
fof(f_3_1,plain,
! [V_tsa_2,V_ts_H_2,V_G_2,T_b] :
( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_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_ts_H_2) ),
inference(fof_nnf,[status(thm)],[fact_weaken]) ).
fof(f_3_2,plain,
! [U_9,U_8,U_7,U_6] :
( c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_9)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(U_6),tc_HOL_Obool)),U_9),U_8))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_8) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
! [U_6,U_7,U_8,U_9] :
( c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_9)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(U_6),tc_HOL_Obool)),U_9),U_8))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_8) ),
inference(definitional_conversion,[status(esa)],[f_3_2]) ).
cnf(f_3_4,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_9)
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(U_6),tc_HOL_Obool)),U_9),U_8))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(U_6,U_7,U_8) ),
inference(clausify,[status(thm)],[f_3_3]) ).
fof(f_5227_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)),
inference(fof_nnf,[status(thm)],[conj_1]) ).
fof(f_5227_2,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(definitional_conversion,[status(esa)],[f_5227_1]) ).
cnf(f_5227_3,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(clausify,[status(thm)],[f_5227_2]) ).
fof(f_5229_1,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(fof_nnf,[status(thm)],[conj_3]) ).
fof(f_5229_2,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(definitional_conversion,[status(esa)],[f_5229_1]) ).
cnf(f_5229_3,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(clausify,[status(thm)],[f_5229_2]) ).
fof(f_5230_1,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(negate,[status(cth)],[conj_4]) ).
fof(f_5230_2,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(definitional_conversion,[status(esa)],[f_5230_1]) ).
cnf(f_5230_3,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(clausify,[status(thm)],[f_5230_2]) ).
cnf(t1,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(start,[status(thm),parent(0:0)],[f_5230_3]) ).
cnf(t2,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_Ga,v_ts_H)
| c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts) ),
inference(extension,[status(thm),parent(t1:1)],[f_3_4]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts_H),
inference(extension,[status(thm),parent(t2:2)],[f_5229_3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,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(extension,[status(thm),parent(t2:3)],[f_5227_3]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW315+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n015.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 20 05:24:19 UTC 2026
% 0.11/0.39 % CPUTime :
% 31.77/32.13 % SZS status Theorem for theBenchmark
% 31.77/32.13 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------