%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV837-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 09:09:12 AM UTC 2026
% Result : Unsatisfiable 3.03s 1.04s
% Output : CNFRefutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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(cls_cut_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(VAR_3,VAR_1,VAR_2)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(VAR_0,VAR_3,VAR_2)
| c_Hoare__Mirabelle_Ohoare__derivs(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_cut_0) ).
cnf(c_529,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(D,B,C)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(A,D,C)
| c_Hoare__Mirabelle_Ohoare__derivs(A,B,C) ),
inference(clausify,[status(thm)],[cls_cut_0]) ).
fof(cls_conjecture_0,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_534,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_G_Ha,v_tsa,t_a),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_3,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
file('theBenchmark.p',cls_conjecture_3) ).
cnf(c_537,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_G_Ha,t_a),
inference(clausify,[status(thm)],[cls_conjecture_3]) ).
fof(cls_conjecture_4,axiom,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
file('theBenchmark.p',cls_conjecture_4) ).
cnf(c_538,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(clausify,[status(thm)],[cls_conjecture_4]) ).
cnf(c_1630,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(A,v_G_Ha,t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(A,v_tsa,t_a) ),
inference(resolve,[status(thm)],[c_534,c_529]) ).
cnf(c_2860,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,v_tsa,t_a),
inference(resolve,[status(thm)],[c_1630,c_537]) ).
cnf(c_2859,plain,
$false,
inference(resolve,[status(thm)],[c_538,c_2860]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV837-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n010.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Sat Sep 26 15:02:32 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.45 % Process 3587529 was started by sandbox2 on n010,
% 0.17/0.45 % Sat Sep 26 15:02:32 2026
% 0.17/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.49
% 0.17/0.49 % From the command line: assign(max_seconds, 300).
% 3.03/1.04
% 3.03/1.04 % given #500 (F,wt=18): 2123 c_SetInterval_Oord__class_OatLeastAtMost(c_Lattices_Oupper__semilattice__class_Osup(A,B,tc_bool),c_Lattices_Oupper__semilattice__class_Osup(A,c_Lattices_Oupper__semilattice__class_Osup(C,B,tc_bool),tc_bool),tc_bool) != c_Orderings_Obot__class_Obot(tc_fun(tc_bool,tc_bool)). [para(53(a,1),1237(a,1,2))].
% 3.03/1.04
% 3.03/1.04 % SZS status Unsatisfiable for theBenchmark
% 3.03/1.04
% 3.03/1.04 % Proof 1 at 0.43 (+ 0.10) seconds.
% 3.03/1.04 % Length of proof is 6.
% 3.03/1.04 % Level of proof is 2.
% 3.03/1.04 % Maximum clause weight is 12.000.
% 3.03/1.04 % Given clauses 541.
% 3.03/1.04
% 3.03/1.04 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------