%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWW317+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 09:14:05 AM UTC 2026
% Result : Theorem 4.13s 1.14s
% Output : CNFRefutation 4.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 6 unt; 0 def)
% Number of atoms : 6 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_OSkip,axiom,
! [V_P_2,V_G_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),c_Hoare__Mirabelle_Otriple_Otriple(T_b,V_P_2,c_Com_Ocom_OSKIP,V_P_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))),
file('theBenchmark.p',fact_hoare__derivs_OSkip) ).
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('theBenchmark.p',conj_1) ).
fof(conj_1_neg,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]) ).
cnf(c_4117,plain,
c_Hoare__Mirabelle_Ohoare__derivs(A,B,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(A)),c_Hoare__Mirabelle_Otriple_Otriple(A,C,c_Com_Ocom_OSKIP,C)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(A),tc_HOL_Obool)))),
inference(clausify,[status(thm)],[fact_hoare__derivs_OSkip]) ).
cnf(c_4878,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(clausify,[status(thm)],[conj_1_neg]) ).
cnf(c_4879,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_4117,c_4878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW317+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.39 % Computer : n015.cluster.edu
% 0.09/0.39 % Model : x86_64 x86_64
% 0.09/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.39 % Memory : 8046.5625MB
% 0.09/0.39 % OS : Linux 6.8.0-71-generic
% 0.09/0.39 % CPULimit : 300
% 0.09/0.39 % WCLimit : 300
% 0.09/0.39 % DateTime : Sat Sep 26 15:42:14 UTC 2026
% 0.09/0.40 % CPUTime :
% 0.09/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.40 % Process 222251 was started by sandbox on n015,
% 0.09/0.40 % Sat Sep 26 15:42:14 2026
% 0.09/0.40 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 4.13/1.14
% 4.13/1.14 % SInE (scan): 1510 to sos (tol 1.5x), 390 to usable (tol 2.0x), 3341 zapped, of 5241 axioms (depth 3).
% 4.13/1.14
% 4.13/1.14 % From the command line: assign(max_seconds, 300).
% 4.13/1.14
% 4.13/1.14 % SZS status Theorem for theBenchmark
% 4.13/1.14
% 4.13/1.14 % Proof 1 at 0.31 (+ 0.16) seconds.
% 4.13/1.14 % Length of proof is 5.
% 4.13/1.14 % Level of proof is 2.
% 4.13/1.14 % Maximum clause weight is 43.000.
% 4.13/1.14 % Given clauses 0.
% 4.13/1.14
% 4.13/1.14 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------