%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET840-2 : 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 : n018.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 03:32:48 PM UTC 2025
% Result : Unsatisfiable 14.06s 2.10s
% Output : CNFRefutation 14.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(0,plain,
~ c_lessequals(v_S,c_insert(X0,c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf,[status(esa)],[cls_Set_OsubsetI_0]) ).
cnf(l1,plain,
( c_lessequals(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b)))
| c_in(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
( ~ c_in(X0,v_S,tc_set(t_b))
| c_lessequals(c_Union(v_S,t_b),X0,tc_set(t_b)) ),
inference(cnf,[status(esa)],[cls_conjecture_1]) ).
cnf(l2,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b))
| c_lessequals(c_Union(v_S,t_b),c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),tc_set(t_b)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(8,plain,
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
inference(cnf,[status(esa)],[cls_Set_Osubset__antisym_0]) ).
cnf(l3,plain,
( ~ c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b))
| ~ c_lessequals(c_Union(v_S,t_b),c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),tc_set(t_b))
| c_Union(v_S,t_b) = c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l7,plain,
( c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b))
| c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),t_b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ c_in(X0,X1,X2)
| ~ c_in(X1,X3,tc_set(X2))
| c_in(X0,c_Union(X3,X2),X2) ),
inference(cnf,[status(esa)],[cls_Set_OUnionI_0]) ).
cnf(l14,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),t_b)
| ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),v_S,tc_set(t_b))
| c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(7,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(l305,plain,
( ~ c_in(c_Main_OsubsetI__1(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),t_b),c_Union(v_S,t_b),t_b)
| c_lessequals(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_Union(v_S,t_b),tc_set(t_b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l452,plain,
( ~ c_in(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b))
| c_lessequals(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(tc_set(t_b))) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(4,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(l451,plain,
c_in(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_insert(c_Main_OsubsetI__1(v_S,c_insert(c_Union(v_S,t_b),c_emptyset,tc_set(t_b)),tc_set(t_b)),c_emptyset,tc_set(t_b)),tc_set(t_b)),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l7,l14,l305,l452,l451]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET840-2 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 22:50:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.41 % launching worker at depth: 11
% 6.06/1.10 % launching worker at depth: 12
% 14.06/2.10 % SZS status Theorem for theBenchmark
% 14.06/2.10 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------