%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 07:59:46 AM UTC 2026
% Result : Unsatisfiable 8.82s 11.68s
% Output : CNFRefutation 8.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 2 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 16 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_0,axiom,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_624,plain,
~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
fof(cls_typing_OVar_0,axiom,
! [VAR_0,VAR_1] : c_Type_Otyping(VAR_0,c_Lambda_OdB_OVar(VAR_1),hAPP(VAR_0,VAR_1)),
file('theBenchmark.p',cls_typing_OVar_0) ).
cnf(c_625,plain,
c_Type_Otyping(A,c_Lambda_OdB_OVar(B),hAPP(A,B)),
inference(clausify,[status(thm)],[cls_typing_OVar_0]) ).
fof(cls_shift__eq_0,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : hAPP(c_Type_Oshift(VAR_0,VAR_1,VAR_2,VAR_3),VAR_1) = VAR_2,
file('theBenchmark.p',cls_shift__eq_0) ).
cnf(c_627,plain,
hAPP(c_Type_Oshift(A,B,C,D),B) = C,
inference(clausify,[status(thm)],[cls_shift__eq_0]) ).
cnf(c_1860,plain,
c_Type_Otyping(c_Type_Oshift(A,B,C,D),c_Lambda_OdB_OVar(B),C),
inference(paramod,[status(thm)],[c_627,c_625]) ).
cnf(c_1861,plain,
$false,
inference(resolve,[status(thm)],[c_1860,c_624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL796-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/10.44 % Computer : n009.cluster.edu
% 0.19/10.44 % Model : x86_64 x86_64
% 0.19/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/10.44 % Memory : 8046.5625MB
% 0.19/10.44 % OS : Linux 6.8.0-71-generic
% 0.19/10.45 % CPULimit : 300
% 0.19/10.45 % WCLimit : 300
% 0.19/10.45 % DateTime : Fri Sep 25 23:35:10 UTC 2026
% 0.19/10.45 % CPUTime :
% 0.19/10.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/10.45 % Process 2839700 was started by sandbox on n009,
% 0.19/10.45 % Fri Sep 25 23:35:10 2026
% 0.19/10.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.23/10.51
% 0.23/10.51 % From the command line: assign(max_seconds, 300).
% 8.82/11.68
% 8.82/11.68 % SZS status Unsatisfiable for theBenchmark
% 8.82/11.68
% 8.82/11.68 % Proof 1 at 1.10 (+ 0.04) seconds.
% 8.82/11.68 % Length of proof is 5.
% 8.82/11.68 % Level of proof is 2.
% 8.82/11.68 % Maximum clause weight is 26.000.
% 8.82/11.68 % Given clauses 153.
% 8.82/11.68
% 8.82/11.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------