%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWW314+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 : n002.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 0.15s 0.90s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_cut,axiom,
! [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('theBenchmark.p',fact_cut) ).
fof(conj_5,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
file('theBenchmark.p',conj_5) ).
fof(conj_5_neg,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(assume_negation,[status(cth)],[conj_5]) ).
cnf(c_1550,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(A,D,B)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(A,B,C) ),
inference(clausify,[status(thm)],[fact_cut]) ).
fof(conj_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
file('theBenchmark.p',conj_0) ).
cnf(c_1803,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
inference(clausify,[status(thm)],[conj_0]) ).
fof(conj_4,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
file('theBenchmark.p',conj_4) ).
cnf(c_1807,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
inference(clausify,[status(thm)],[conj_4]) ).
cnf(c_1808,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(clausify,[status(thm)],[conj_5_neg]) ).
cnf(c_2044,plain,
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,A,v_ts)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,A,v_G_H) ),
inference(resolve,[status(thm)],[c_1550,c_1803]) ).
cnf(c_2134,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
inference(resolve,[status(thm)],[c_2044,c_1807]) ).
cnf(c_2133,negated_conjecture,
$false,
inference(resolve,[status(thm)],[c_1808,c_2134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW314+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.58 % Computer : n002.cluster.edu
% 0.10/0.58 % Model : x86_64 x86_64
% 0.10/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.58 % Memory : 8046.5625MB
% 0.10/0.58 % OS : Linux 6.8.0-71-generic
% 0.10/0.58 % CPULimit : 300
% 0.10/0.58 % WCLimit : 300
% 0.10/0.58 % DateTime : Sat Sep 26 15:41:22 UTC 2026
% 0.10/0.58 % CPUTime :
% 0.10/0.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.58 % Process 2085362 was started by sandbox on n002,
% 0.10/0.58 % Sat Sep 26 15:41:22 2026
% 0.10/0.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.15/0.90
% 0.15/0.90 % SInE (scan): 458 to sos (tol 1.5x), 262 to usable (tol 2.0x), 4510 zapped, of 5230 axioms (depth 3).
% 0.15/0.90
% 0.15/0.90 % From the command line: assign(max_seconds, 300).
% 0.15/0.90
% 0.15/0.90 % SZS status Theorem for theBenchmark
% 0.15/0.90
% 0.15/0.90 % Proof 1 at 0.15 (+ 0.07) seconds.
% 0.15/0.90 % Length of proof is 8.
% 0.15/0.90 % Level of proof is 3.
% 0.15/0.90 % Maximum clause weight is 14.000.
% 0.15/0.90 % Given clauses 20.
% 0.15/0.90
% 0.15/0.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------