%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SET824-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:37:02 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.64s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 6 ( 4 unt; 0 def)
% Number of atoms : 8 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 2 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cls_Set_OComplD__dest_0,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ c_in(VAR_0,c_uminus(VAR_1,tc_set(VAR_2)),VAR_2)
| ~ c_in(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',cls_Set_OComplD__dest_0) ).
cnf(c_1,plain,
( ~ c_in(A,c_uminus(B,tc_set(C)),C)
| ~ c_in(A,B,C) ),
inference(clausify,[status(thm)],[cls_Set_OComplD__dest_0]) ).
fof(cls_conjecture_0,axiom,
! [VAR_0] : c_in(v_a,VAR_0,tc_IntDef_Oint),
file('theBenchmark.p',cls_conjecture_0) ).
cnf(c_2,plain,
c_in(v_a,A,tc_IntDef_Oint),
inference(clausify,[status(thm)],[cls_conjecture_0]) ).
cnf(c_4,plain,
~ c_in(v_a,A,tc_IntDef_Oint),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_3,plain,
$false,
inference(resolve,[status(thm)],[c_2,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET824-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.62 % Computer : n006.cluster.edu
% 0.14/0.62 % Model : x86_64 x86_64
% 0.14/0.62 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.62 % Memory : 8046.5625MB
% 0.14/0.62 % OS : Linux 6.8.0-71-generic
% 0.14/0.62 % CPULimit : 300
% 0.14/0.62 % WCLimit : 300
% 0.14/0.62 % DateTime : Sat Sep 26 08:18:42 UTC 2026
% 0.14/0.62 % CPUTime :
% 0.14/0.62 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.62 % Process 801152 was started by sandbox2 on n006,
% 0.14/0.62 % Sat Sep 26 08:18:42 2026
% 0.14/0.62 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.63
% 0.14/0.63 % From the command line: assign(max_seconds, 300).
% 0.14/0.64
% 0.14/0.64 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.64
% 0.14/0.64 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.14/0.64 % Length of proof is 3.
% 0.14/0.64 % Level of proof is 1.
% 0.14/0.64 % Maximum clause weight is 11.000.
% 0.14/0.64 % Given clauses 2.
% 0.14/0.64
% 0.14/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------