%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SWV897-1 : 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 : n008.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 09:09:18 AM UTC 2026
% Result : Unsatisfiable 0.12s 5.63s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_evalc_OBody_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,VAR_0))),VAR_1),VAR_2))
| hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,VAR_0)),VAR_1),VAR_2)) ),
file('theBenchmark.p',cls_evalc_OBody_0) ).
cnf(c_456,plain,
( ~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,A))),B),C))
| hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,A)),B),C)) ),
inference(clausify,[status(thm)],[cls_evalc_OBody_0]) ).
fof(cls_conjecture_1,axiom,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_483,plain,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_x),v_xa)),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
fof(cls_conjecture_2,axiom,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_484,plain,
~ hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
cnf(c_1788,plain,
hBOOL(hAPP(hAPP(hAPP(c_Natural_Oevalc,hAPP(c_Com_Ocom_OBODY,v_pn)),v_x),v_xa)),
inference(resolve,[status(thm)],[c_483,c_456]) ).
cnf(c_1787,plain,
$false,
inference(resolve,[status(thm)],[c_484,c_1788]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV897-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n008.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sat Sep 26 15:08:49 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/5.36 % Process 3931362 was started by sandbox2 on n008,
% 0.08/5.36 % Sat Sep 26 15:08:49 2026
% 0.08/5.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/5.38
% 0.08/5.38 % From the command line: assign(max_seconds, 300).
% 0.12/5.63
% 0.12/5.63 % SZS status Unsatisfiable for theBenchmark
% 0.12/5.63
% 0.12/5.63 % Proof 1 at 0.19 (+ 0.05) seconds.
% 0.12/5.63 % Length of proof is 4.
% 0.12/5.63 % Level of proof is 1.
% 0.12/5.63 % Maximum clause weight is 88.000.
% 0.12/5.63 % Given clauses 377.
% 0.12/5.63
% 0.12/5.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------