%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL771-1 : 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 : n017.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 07:59:41 AM UTC 2026
% Result : Unsatisfiable 0.22s 0.55s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 5 unt; 0 def)
% Number of atoms : 5 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 4 ( 1 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_listsp_ONil_0,axiom,
! [VAR_0,VAR_1] : c_List_Olistsp(VAR_0,c_List_Olist_ONil(VAR_1),VAR_1),
file('theBenchmark.p',cls_listsp_ONil_0) ).
cnf(c_467,plain,
c_List_Olistsp(A,c_List_Olist_ONil(B),B),
inference(clausify,[status(thm)],[cls_listsp_ONil_0]) ).
fof(cls_conjecture_2,axiom,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_473,plain,
~ c_List_Olistsp(c_InductTermi_OIT,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
cnf(c_474,plain,
$false,
inference(resolve,[status(thm)],[c_467,c_473]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LCL771-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n017.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Fri Sep 25 23:27:32 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/0.44 % Process 3448556 was started by sandbox on n017,
% 0.19/0.44 % Fri Sep 25 23:27:32 2026
% 0.19/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.19/0.47
% 0.19/0.47 % From the command line: assign(max_seconds, 300).
% 0.22/0.55
% 0.22/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.55
% 0.22/0.55 % Proof 1 at 0.04 (+ 0.01) seconds.
% 0.22/0.55 % Length of proof is 3.
% 0.22/0.55 % Level of proof is 1.
% 0.22/0.55 % Maximum clause weight is 5.000.
% 0.22/0.55 % Given clauses 0.
% 0.22/0.55
% 0.22/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------