TSTP Solution File: SWW317+1 by Etableau---0.67
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%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SWW317+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n019.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 : 600s
% DateTime : Thu Jul 21 00:12:30 EDT 2022
% Result : Theorem 1.25s 1.43s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 26 ( 3 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(fact_singleton__conv2,axiom,
! [X7,X5] : hAPP(c_Set_OCollect(X5),hAPP(c_fequal,X7)) = hAPP(hAPP(c_Set_Oinsert(X5),X7),c_Orderings_Obot__class_Obot(tc_fun(X5,tc_HOL_Obool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_singleton__conv2) ).
fof(fact_Collect__def,axiom,
! [X6,X5] : hAPP(c_Set_OCollect(X5),X6) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_hoare__derivs_OSkip,axiom,
! [X6,X4,X5] : c_Hoare__Mirabelle_Ohoare__derivs(X5,X4,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X5)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X6,c_Com_Ocom_OSKIP,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X5),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_hoare__derivs_OSkip) ).
fof(c_0_4,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(assume_negation,[status(cth)],[conj_1]) ).
fof(c_0_5,plain,
! [X1274,X1275] : hAPP(c_Set_OCollect(X1275),hAPP(c_fequal,X1274)) = hAPP(hAPP(c_Set_Oinsert(X1275),X1274),c_Orderings_Obot__class_Obot(tc_fun(X1275,tc_HOL_Obool))),
inference(variable_rename,[status(thm)],[fact_singleton__conv2]) ).
fof(c_0_6,plain,
! [X1276,X1277] : hAPP(c_Set_OCollect(X1277),X1276) = X1276,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_7,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
cnf(c_0_8,plain,
hAPP(c_Set_OCollect(X1),hAPP(c_fequal,X2)) = hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
hAPP(c_Set_OCollect(X1),X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_10,plain,
! [X333,X334,X335] : c_Hoare__Mirabelle_Ohoare__derivs(X335,X334,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X335)),c_Hoare__Mirabelle_Otriple_Otriple(X335,X333,c_Com_Ocom_OSKIP,X333)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X335),tc_HOL_Obool)))),
inference(variable_rename,[status(thm)],[fact_hoare__derivs_OSkip]) ).
cnf(c_0_11,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
hAPP(c_fequal,X1) = hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))),
inference(rw,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X1)),c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,c_Com_Ocom_OSKIP,X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X1),tc_HOL_Obool)))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(t_a,v_P,c_Com_Ocom_OSKIP,v_P))),
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,plain,
c_Hoare__Mirabelle_Ohoare__derivs(X1,X2,hAPP(c_fequal,c_Hoare__Mirabelle_Otriple_Otriple(X1,X3,c_Com_Ocom_OSKIP,X3))),
inference(rw,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SWW317+1 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 12:45:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.25/1.43 # No SInE strategy applied
% 1.25/1.43 # Auto-Mode selected heuristic C07_19_nc_SAT001_MinMin_rr
% 1.25/1.43 # and selection function SelectMaxLComplexAvoidPosPred.
% 1.25/1.43 #
% 1.25/1.43 # Presaturation interreduction done
% 1.25/1.43
% 1.25/1.43 # Proof found!
% 1.25/1.43 # SZS status Theorem
% 1.25/1.43 # SZS output start CNFRefutation
% See solution above
% 1.25/1.43 # Training examples: 0 positive, 0 negative
%------------------------------------------------------------------------------