%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SET835-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 02:44:04 PM UTC 2026
% Result : Unsatisfiable 18.91s 3.42s
% Output : Proof 18.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 13 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 17 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f305,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f305_nnf,plain,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
inference(nnf_transformation,[status(thm)],[f305]) ).
fof(f305_sk,plain,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
inference(skolemisation,[status(esa)],[f305_nnf]) ).
cnf(c305,plain,
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f305_sk]) ).
cnf(f1359,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1359_nnf,plain,
c_in(v_x,v_Y,t_a),
inference(nnf_transformation,[status(thm)],[f1359]) ).
cnf(c1359,plain,
c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[status(esa)],[f1359_nnf]) ).
cnf(p869,plain,
( c_in(v_x,X0,t_a)
| ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
inference(resolution,[status(thm)],[c305,c1359]) ).
cnf(f1357,negated_conjecture,
c_lessequals(v_Y,v_X,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1357_nnf,plain,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(nnf_transformation,[status(thm)],[f1357]) ).
cnf(c1357,plain,
c_lessequals(v_Y,v_X,tc_set(t_a)),
inference(cnf_transformation,[status(esa)],[f1357_nnf]) ).
cnf(p928,plain,
c_in(v_x,v_X,t_a),
inference(resolution,[status(thm)],[p869,c1357]) ).
cnf(f1360,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1360_nnf,plain,
~ c_in(v_x,v_X,t_a),
inference(nnf_transformation,[status(thm)],[f1360]) ).
fof(f1360_sk,plain,
~ c_in(v_x,v_X,t_a),
inference(skolemisation,[status(esa)],[f1360_nnf]) ).
cnf(c1360,plain,
~ c_in(v_x,v_X,t_a),
inference(cnf_transformation,[status(esa)],[f1360_sk]) ).
cnf(p929,plain,
$false,
inference(resolution,[status(thm)],[p928,c1360]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET835-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 12:12:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 18.91/3.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.91/3.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------