%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:44:00 PM UTC 2026
% Result : Unsatisfiable 31.01s 19.93s
% Output : Proof 31.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 9 ( 9 unt; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 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 : 12 ( 4 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f173,axiom,
~ c_in(V_a,c_emptyset,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f173_nnf,plain,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
inference(nnf_transformation,[status(thm)],[f173]) ).
fof(f173_sk,plain,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
inference(skolemisation,[status(esa)],[f173_nnf]) ).
cnf(c173,plain,
~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[status(esa)],[f173_sk]) ).
cnf(f1357,negated_conjecture,
c_in(v_x(V_U),V_U,tc_IntDef_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1357_nnf,plain,
! [V_U] : c_in(v_x(V_U),V_U,tc_IntDef_Oint),
inference(nnf_transformation,[status(thm)],[f1357]) ).
fof(f1357_sk,plain,
! [V_U] : c_in(v_x(V_U),V_U,tc_IntDef_Oint),
inference(skolemisation,[status(esa)],[f1357_nnf]) ).
cnf(c1357,plain,
c_in(v_x(X0),X0,tc_IntDef_Oint),
inference(cnf_transformation,[status(esa)],[f1357_sk]) ).
cnf(p230,plain,
$false,
inference(resolution,[status(thm)],[c173,c1357]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET818-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/15.40 % Computer : n004.cluster.edu
% 0.12/15.40 % Model : x86_64 x86_64
% 0.12/15.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/15.40 % Memory : 8046.5625MB
% 0.12/15.40 % OS : Linux 6.8.0-71-generic
% 0.12/15.40 % CPULimit : 300
% 0.12/15.40 % WCLimit : 300
% 0.12/15.40 % DateTime : Thu Sep 24 12:03:09 UTC 2026
% 0.12/15.40 % CPUTime :
% 0.12/15.40 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 31.01/19.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 31.01/19.93 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------