%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SCT027-1 : 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 : n004.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 08:28:23 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.77s
% Output : CNFRefutation 0.13s
% 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 : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 3 avg)
% Number of predicates : 3 ( 2 usr; 2 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_CHAINED_0,axiom,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__CHAINED__1),c_Arrow__Order__Mirabelle_OLin)),
file('theBenchmark.p',cls_CHAINED_0) ).
cnf(c_757,plain,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_sko__CHAINED__1),c_Arrow__Order__Mirabelle_OLin)),
inference(clausify,[status(thm)],[cls_CHAINED_0]) ).
fof(cls_conjecture_0,axiom,
~ v_thesis____,
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_758,plain,
~ v_thesis____,
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_conjecture_1,axiom,
! [VAR_0] :
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),VAR_0),c_Arrow__Order__Mirabelle_OLin))
| v_thesis____ ),
file('theBenchmark.p',cls_conjecture_1) ).
cnf(c_759,plain,
( ~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),A),c_Arrow__Order__Mirabelle_OLin))
| v_thesis____ ),
inference(clausify,[status(thm)],[cls_conjecture_1]) ).
cnf(c_760,plain,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),A),c_Arrow__Order__Mirabelle_OLin)),
inference(resolve,[status(thm)],[c_758,c_759]) ).
cnf(c_761,plain,
$false,
inference(resolve,[status(thm)],[c_760,c_757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT027-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n004.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Sat Sep 26 06:19:52 UTC 2026
% 0.09/0.57 % CPUTime :
% 0.13/0.57 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.13/0.57 % Process 993572 was started by sandbox2 on n004,
% 0.13/0.57 % Sat Sep 26 06:19:52 2026
% 0.13/0.57 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.13/0.60
% 0.13/0.60 % From the command line: assign(max_seconds, 300).
% 0.13/0.77
% 0.13/0.77 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.77
% 0.13/0.77 % Proof 1 at 0.15 (+ 0.01) seconds.
% 0.13/0.77 % Length of proof is 5.
% 0.13/0.77 % Level of proof is 2.
% 0.13/0.77 % Maximum clause weight is 46.000.
% 0.13/0.77 % Given clauses 0.
% 0.13/0.77
% 0.13/0.77 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------