%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : LCL774-1 : 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 : n018.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 07:59:42 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : CNFRefutation 0.12s
% 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 : 2 ( 2 avg)
% Maximal term depth : 2 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 2 ( 1 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_conjecture_2,axiom,
~ c_InductTermi_OIT(c_Lambda_OdB_OVar(v_i)),
file('theBenchmark.p',cls_conjecture_2) ).
cnf(c_148,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OVar(v_i)),
inference(clausify,[status(thm)],[cls_conjecture_2]) ).
fof(cls_Var__IT_0,axiom,
! [VAR_0] : c_InductTermi_OIT(c_Lambda_OdB_OVar(VAR_0)),
file('theBenchmark.p',cls_Var__IT_0) ).
cnf(c_158,plain,
c_InductTermi_OIT(c_Lambda_OdB_OVar(A)),
inference(clausify,[status(thm)],[cls_Var__IT_0]) ).
cnf(c_159,plain,
$false,
inference(resolve,[status(thm)],[c_158,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL774-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n018.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Sep 25 23:34:35 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.37 % Process 3112503 was started by sandbox2 on n018,
% 0.12/0.37 % Fri Sep 25 23:34:35 2026
% 0.12/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.38
% 0.12/0.38 % From the command line: assign(max_seconds, 300).
% 0.12/0.46
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46
% 0.12/0.46 % Proof 1 at 0.07 (+ 0.00) seconds.
% 0.12/0.46 % Length of proof is 3.
% 0.12/0.46 % Level of proof is 1.
% 0.12/0.46 % Maximum clause weight is 13.000.
% 0.12/0.46 % Given clauses 0.
% 0.12/0.46
% 0.12/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------