%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SWV275-2 : 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 : n022.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 04:46:29 PM UTC 2025
% Result : Unsatisfiable 68.17s 8.91s
% Output : CNFRefutation 68.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named cls_conjecture_0)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(cnf,[status(esa)],[cls_conjecture_0]) ).
cnf(l0,plain,
~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(instantiation,[status(thm)],[8]) ).
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(l1,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(5,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(l2,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
inference(cnf,[status(esa)],[cls_Message_Osynth__mono_0]) ).
cnf(l3,plain,
( ~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
| c_lessequals(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,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(l52,plain,
( c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
( ~ c_in(X0,X1,X2)
| c_in(X0,c_insert(X3,X1,X2),X2) ),
inference(cnf,[status(esa)],[cls_Set_OinsertCI_0]) ).
cnf(l66,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l79,plain,
( ~ c_in(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(4,plain,
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| X0 = X1
| c_in(X0,X2,X3) ),
inference(cnf,[status(esa)],[cls_Set_OinsertE_0]) ).
cnf(l98,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l100,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
c_in(X0,c_insert(X0,X1,X2),X2),
inference(cnf,[status(esa)],[cls_Set_OinsertCI_1]) ).
cnf(l409,plain,
c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(instantiation,[status(thm)],[3]) ).
cnf(0,plain,
( ~ c_in(X0,X1,tc_Message_Omsg)
| c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf,[status(esa)],[cls_Message_Osynth_OInj_0]) ).
cnf(l407,plain,
( ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l52,l66,l79,l98,l100,l409,l407]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV275-2 : TPTP v9.0.0. Released v3.2.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jul 22 08:40:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % launching worker at depth: 11
% 0.18/0.47 % launching worker at depth: 12
% 16.73/2.45 % launching worker at depth: 13
% 68.17/8.91 % SZS status Theorem for theBenchmark
% 68.17/8.91 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------