%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL802-1 : 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 07:59:47 AM UTC 2026
% Result : Unsatisfiable 0.23s 5.69s
% Output : CNFRefutation 0.23s
% 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 : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-5 aty)
% Number of variables : 6 ( 1 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_lists__typings_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_Type_Otypings(VAR_0,VAR_1,VAR_2)
| c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(VAR_0),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),VAR_1,tc_Lambda_OdB) ),
file('theBenchmark.p',cls_lists__typings_0) ).
cnf(c_300,plain,
( ~ c_Type_Otypings(A,B,C)
| c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(A),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),B,tc_Lambda_OdB) ),
inference(clausify,[status(thm)],[cls_lists__typings_0]) ).
fof(cls_argsT_0,axiom,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
file('theBenchmark.p',cls_argsT_0) ).
cnf(c_318,plain,
c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____),
inference(clausify,[status(thm)],[cls_argsT_0]) ).
fof(cls_conjecture_0,axiom,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_as____,tc_Lambda_OdB),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_327,plain,
~ c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_as____,tc_Lambda_OdB),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_529,plain,
c_List_Olistsp(c_COMBB(c_Ex(tc_Type_Otype),c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype)),tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_Lambda_OdB),v_as____,tc_Lambda_OdB),
inference(resolve,[status(thm)],[c_318,c_300]) ).
cnf(c_528,plain,
$false,
inference(resolve,[status(thm)],[c_327,c_529]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL802-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n004.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Fri Sep 25 23:36:12 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.46 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/5.46 % Process 252583 was started by sandbox2 on n004,
% 0.17/5.46 % Fri Sep 25 23:36:12 2026
% 0.17/5.46 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/5.48
% 0.17/5.48 % From the command line: assign(max_seconds, 300).
% 0.23/5.69
% 0.23/5.69 % SZS status Unsatisfiable for theBenchmark
% 0.23/5.69
% 0.23/5.69 % Proof 1 at 0.17 (+ 0.03) seconds.
% 0.23/5.69 % Length of proof is 4.
% 0.23/5.69 % Level of proof is 1.
% 0.23/5.69 % Maximum clause weight is 25.000.
% 0.23/5.69 % Given clauses 191.
% 0.23/5.69
% 0.23/5.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------