%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET830-2 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 03:32:46 PM UTC 2025
% Result : Unsatisfiable 0.07s 0.27s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_5)
% Comments :
%------------------------------------------------------------------------------
cnf(9,plain,
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a)) ),
inference(cnf,[status(esa)],[cls_conjecture_5]) ).
cnf(l0,plain,
( ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(4,plain,
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(l1,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(3,plain,
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(l11,plain,
( ~ c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a)
| ~ c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a))
| c_in(v_x,v_X,t_a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
~ c_in(v_x,v_X,t_a),
inference(cnf,[status(esa)],[cls_conjecture_4]) ).
cnf(l12,plain,
~ c_in(v_x,v_X,t_a),
inference(instantiation,[status(thm)],[8]) ).
cnf(l15,plain,
( c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
inference(cnf,[status(esa)],[cls_Set_OIntE_1]) ).
cnf(l8,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),v_Z,t_a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetI_1]) ).
cnf(l9,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Z,t_a),v_Z,t_a)
| c_lessequals(c_inter(v_Z,v_Y,t_a),v_Z,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X0,X3,X2)
| c_in(X0,c_inter(X3,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_Set_OIntI_0]) ).
cnf(l13,plain,
( ~ c_in(v_x,v_Y,t_a)
| ~ c_in(v_x,v_Z,t_a)
| c_in(v_x,c_inter(v_Z,v_Y,t_a),t_a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
c_in(v_x,v_Y,t_a),
inference(cnf,[status(esa)],[cls_conjecture_2]) ).
cnf(l14,plain,
c_in(v_x,v_Y,t_a),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
c_in(v_x,v_Z,t_a),
inference(cnf,[status(esa)],[cls_conjecture_3]) ).
cnf(l16,plain,
c_in(v_x,v_Z,t_a),
inference(instantiation,[status(thm)],[7]) ).
cnf(0,plain,
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
inference(cnf,[status(esa)],[cls_Set_OIntE_0]) ).
cnf(l18,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),c_inter(v_Z,v_Y,t_a),t_a)
| c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l19,plain,
( ~ c_in(c_Main_OsubsetI__1(c_inter(v_Z,v_Y,t_a),v_Y,t_a),v_Y,t_a)
| c_lessequals(c_inter(v_Z,v_Y,t_a),v_Y,tc_set(t_a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l11,l12,l15,l8,l9,l13,l14,l16,l18,l19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SET830-2 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % Computer : n024.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Jul 21 22:48:04 EDT 2025
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % launching worker at depth: 1
% 0.07/0.26 % launching worker at depth: 6
% 0.07/0.26 % launching worker at depth: 7
% 0.07/0.26 % launching worker at depth: 4
% 0.07/0.26 % launching worker at depth: 2
% 0.07/0.26 % launching worker at depth: 8
% 0.07/0.26 % launching worker at depth: 3
% 0.07/0.26 % launching worker at depth: 5
% 0.07/0.26 % launching worker at depth: 9
% 0.07/0.26 % launching worker at depth: 10
% 0.07/0.27 % SZS status Theorem for theBenchmark
% 0.07/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------