%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SWV275-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n001.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 : Tue May 5 05:21:24 PM UTC 2026
% Result : Unsatisfiable 49.63s 25.68s
% Output : CNFRefutation 49.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 27)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 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)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
cnf(cls_Set_OinsertE_0,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
cnf(cls_Set_OinsertCI_0,axiom,
( c_in(X1,c_insert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_Message_Osynth__mono_0,axiom,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__mono_0) ).
cnf(cls_Message_Osynth_OInj_0,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
cnf(i_0_9,negated_conjecture,
~ 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)),
cls_conjecture_0,
[final] ).
cnf(i_0_10,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1,
[final] ).
cnf(i_0_11,axiom,
( c_in(X1,X3,X4)
| X1 = X2
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
cls_Set_OinsertE_0,
[final] ).
cnf(i_0_12,axiom,
( c_in(X1,c_insert(X4,X2,X3),X3)
| ~ c_in(X1,X2,X3) ),
cls_Set_OinsertCI_0,
[final] ).
cnf(i_0_13,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
cls_Set_OsubsetD_0,
[final] ).
cnf(i_0_14,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0,
[final] ).
cnf(i_0_15,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1,
[final] ).
cnf(i_0_16,axiom,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
cls_Message_Osynth__mono_0,
[final] ).
cnf(i_0_17,axiom,
( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Osynth_OInj_0,
[final] ).
cnf(i_0_18,axiom,
X1 = X1 ).
cnf(i_0_19,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_22,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_23,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_24,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_25,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_26,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_18_001,axiom,
X1 = X1 ).
cnf(i_0_19_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_20_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_21_004,axiom,
( X1 != X2
| ~ c_lessequals(X1,X3,X4)
| c_lessequals(X2,X3,X4) ) ).
cnf(i_0_22_005,axiom,
( X1 != X2
| ~ c_lessequals(X3,X1,X4)
| c_lessequals(X3,X2,X4) ) ).
cnf(i_0_23_006,axiom,
( X1 != X2
| ~ c_lessequals(X3,X4,X1)
| c_lessequals(X3,X4,X2) ) ).
cnf(i_0_24_007,axiom,
( X1 != X2
| ~ c_in(X1,X3,X4)
| c_in(X2,X3,X4) ) ).
cnf(i_0_25_008,axiom,
( X1 != X2
| ~ c_in(X3,X1,X4)
| c_in(X3,X2,X4) ) ).
cnf(i_0_26_009,axiom,
( X1 != X2
| ~ c_in(X3,X4,X1)
| c_in(X3,X4,X2) ) ).
cnf(i_0_27,plain,
( X1 != c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_9,i_0_21]) ).
cnf(i_0_28,plain,
( X1 != c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_9,i_0_21,i_0_14]) ).
cnf(i_0_29,plain,
( c_lessequals(X1,X2,tc_set(X3))
| c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3) ),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_30,plain,
( c_insert(X1,X2,tc_Message_Omsg) != c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X1 ),
inference(scs_inference,[],[i_0_9,i_0_21,i_0_14,i_0_11]) ).
cnf(i_0_31,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(equality_inference,[],[27]) ).
cnf(i_0_32,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),
inference(equality_inference,[],[28]) ).
cnf(i_0_33,plain,
( 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(equality_inference,[],[30]) ).
cnf(i_0_34,plain,
( X1 != c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg))
| ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),X1,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_9,i_0_22]) ).
cnf(i_0_35,plain,
( X1 != c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg))
| X2 != tc_set(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)),X2) ),
inference(scs_inference,[],[i_0_9,i_0_22,i_0_23]) ).
cnf(i_0_36,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(equality_inference,[],[34]) ).
cnf(i_0_37,plain,
( X1 != tc_set(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)),X1) ),
inference(scs_inference,[],[i_0_9,i_0_23]) ).
cnf(i_0_39,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(equality_inference,[],[37]) ).
cnf(i_0_40,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(scs_inference,[],[i_0_15,i_0_12]) ).
cnf(i_0_41,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_42,plain,
c_in(X1,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_15,i_0_12,i_0_17]) ).
cnf(i_0_43,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_44,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_45,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| X2 != X1 ),
inference(scs_inference,[],[i_0_15,i_0_43,i_0_12,i_0_17,i_0_24]) ).
cnf(i_0_46,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(equality_inference,[],[45]) ).
cnf(i_0_47,plain,
c_in(X1,c_insert(X2,c_insert(X3,c_insert(X1,X4,X5),X5),X5),X5),
inference(scs_inference,[],[i_0_40,i_0_12]) ).
cnf(i_0_48,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_49,plain,
c_in(X1,c_Message_Osynth(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_40,i_0_12,i_0_17]) ).
cnf(i_0_50,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_51,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_52,plain,
( c_in(X1,X2,X3)
| c_insert(X4,c_insert(X1,X5,X3),X3) != X2 ),
inference(scs_inference,[],[i_0_40,i_0_50,i_0_12,i_0_17,i_0_25]) ).
cnf(i_0_53,plain,
( c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X5)
| X4 != X5 ),
inference(scs_inference,[],[i_0_40,i_0_50,i_0_12,i_0_17,i_0_25,i_0_26]) ).
cnf(i_0_54,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(equality_inference,[],[52]) ).
cnf(i_0_55,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(equality_inference,[],[53]) ).
cnf(i_0_56,plain,
c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_42,i_0_12]) ).
cnf(i_0_57,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_58,plain,
c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(scs_inference,[],[i_0_42,i_0_12,i_0_17]) ).
cnf(i_0_59,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_60,plain,
( c_in(X1,X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_42,i_0_12,i_0_17,i_0_13]) ).
cnf(i_0_61,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_62,plain,
( c_in(X1,c_insert(X2,c_insert(X3,c_insert(X4,X5,X6),X6),X6),X6)
| X4 != X1 ),
inference(scs_inference,[],[i_0_47,i_0_24]) ).
cnf(i_0_63,plain,
c_in(X1,c_insert(X2,c_insert(X3,c_insert(X1,X4,X5),X5),X5),X5),
inference(equality_inference,[],[62]) ).
cnf(i_0_64,plain,
( c_in(X1,X2,tc_Message_Omsg)
| c_Message_Osynth(c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg))) != X2 ),
inference(scs_inference,[],[i_0_58,i_0_25]) ).
cnf(i_0_65,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_67,plain,
c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(equality_inference,[],[64]) ).
cnf(i_0_68,plain,
( c_in(X1,X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_insert(X3,c_insert(X1,X4,tc_Message_Omsg),tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_49,i_0_13]) ).
cnf(i_0_69,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_70,plain,
( c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),X4)
| tc_Message_Omsg != X4
| ~ c_lessequals(c_Message_Osynth(c_insert(X5,c_insert(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),X6,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_9,i_0_49,i_0_56,i_0_13,i_0_10,i_0_26]) ).
cnf(i_0_71,plain,
( c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_insert(X4,c_insert(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),X5,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(equality_inference,[],[70]) ).
cnf(i_0_72,plain,
( c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg))),tc_Message_Omsg)
| X2 != X1 ),
inference(scs_inference,[],[i_0_58,i_0_24]) ).
cnf(i_0_73,plain,
c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(equality_inference,[],[72]) ).
cnf(i_0_74,plain,
( c_in(X1,X2,tc_Message_Omsg)
| c_Message_Osynth(c_insert(X3,c_insert(X1,X4,tc_Message_Omsg),tc_Message_Omsg)) != X2 ),
inference(scs_inference,[],[i_0_49,i_0_25]) ).
cnf(i_0_75,plain,
c_in(X1,c_Message_Osynth(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[74]) ).
cnf(i_0_76,plain,
( c_in(X1,X2,tc_Message_Omsg)
| ~ c_lessequals(c_insert(X3,c_Message_Osynth(c_insert(X1,X4,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_56,i_0_13]) ).
cnf(i_0_77,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_79,plain,
( c_in(X1,c_insert(X2,c_insert(X3,c_insert(X1,X4,X5),X5),X5),X6)
| X5 != X6 ),
inference(scs_inference,[],[i_0_47,i_0_26]) ).
cnf(i_0_80,plain,
c_in(X1,c_insert(X2,c_insert(X3,c_insert(X1,X4,X5),X5),X5),X5),
inference(equality_inference,[],[79]) ).
cnf(i_0_81,plain,
( c_in(X1,c_insert(X2,c_insert(X3,X4,X5),X5),X5)
| X3 != X1 ),
inference(scs_inference,[],[i_0_40,i_0_24]) ).
cnf(i_0_82,plain,
( X1 != X2
| c_in(X2,c_Message_Osynth(c_insert(X3,c_insert(X1,X4,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_40,i_0_24,i_0_17]) ).
cnf(i_0_83,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_84,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(equality_inference,[],[81]) ).
cnf(i_0_85,plain,
c_in(X1,c_Message_Osynth(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[82]) ).
cnf(i_0_86,plain,
( c_in(X1,X2,tc_Message_Omsg)
| c_insert(X3,c_Message_Osynth(c_insert(X1,X4,tc_Message_Omsg)),tc_Message_Omsg) != X2 ),
inference(scs_inference,[],[i_0_56,i_0_25]) ).
cnf(i_0_87,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_89,plain,
c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(equality_inference,[],[86]) ).
cnf(i_0_90,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_insert(X4,c_insert(X5,c_insert(X1,X6,X3),X3),X3),X2,tc_set(X3)) ),
inference(scs_inference,[],[i_0_47,i_0_13]) ).
cnf(i_0_91,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_92,plain,
( ~ c_lessequals(c_insert(X1,c_insert(X2,c_insert(X3,X4,X5),X5),X5),X6,tc_set(X5))
| c_in(X3,c_insert(X7,X6,X5),X5) ),
inference(scs_inference,[],[i_0_47,i_0_13,i_0_12]) ).
cnf(i_0_93,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_94,plain,
~ c_lessequals(c_insert(X1,c_insert(X2,c_insert(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),X3,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(scs_inference,[],[i_0_9,i_0_47,i_0_13,i_0_10]) ).
cnf(i_0_95,plain,
( c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),X3)
| tc_Message_Omsg != X3 ),
inference(scs_inference,[],[i_0_58,i_0_26]) ).
cnf(i_0_96,plain,
c_in(X1,c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),tc_Message_Omsg),
inference(equality_inference,[],[95]) ).
cnf(i_0_97,plain,
( c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg)
| X3 != X1 ),
inference(scs_inference,[],[i_0_56,i_0_24]) ).
cnf(i_0_98,plain,
c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(equality_inference,[],[97]) ).
cnf(i_0_99,plain,
( c_in(X1,X2,X3)
| c_insert(X1,X4,X3) != X2 ),
inference(scs_inference,[],[i_0_15,i_0_25]) ).
cnf(i_0_100,plain,
( c_insert(X1,X2,X3) != X4
| c_in(X1,c_insert(X5,X4,X3),X3) ),
inference(scs_inference,[],[i_0_15,i_0_25,i_0_12]) ).
cnf(i_0_101,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_102,plain,
( c_insert(X1,X2,tc_Message_Omsg) != X3
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_15,i_0_25,i_0_12,i_0_17]) ).
cnf(i_0_103,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_104,plain,
c_insert(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),X1,tc_Message_Omsg) != c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),
inference(scs_inference,[],[i_0_9,i_0_15,i_0_25,i_0_12,i_0_17,i_0_10]) ).
cnf(i_0_105,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(equality_inference,[],[99]) ).
cnf(i_0_106,plain,
c_in(X1,c_insert(X2,c_insert(X1,X3,X4),X4),X4),
inference(equality_inference,[],[100]) ).
cnf(i_0_107,plain,
c_in(X1,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[102]) ).
cnf(i_0_108,plain,
( c_in(X1,X2,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg))),X2,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_58,i_0_13]) ).
cnf(i_0_109,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_110,plain,
( ~ c_lessequals(c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),X3,tc_set(tc_Message_Omsg))
| c_in(X1,c_insert(X4,X3,tc_Message_Omsg),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_58,i_0_13,i_0_12]) ).
cnf(i_0_111,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_112,plain,
( ~ c_lessequals(c_Message_Osynth(c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg))),X3,tc_set(tc_Message_Omsg))
| c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_58,i_0_13,i_0_12,i_0_17]) ).
cnf(i_0_113,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_114,plain,
~ c_lessequals(c_Message_Osynth(c_Message_Osynth(c_insert(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),X1,tc_Message_Omsg))),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(scs_inference,[],[i_0_9,i_0_58,i_0_13,i_0_12,i_0_17,i_0_10]) ).
cnf(i_0_115,plain,
( c_in(X1,c_Message_Osynth(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),X4)
| tc_Message_Omsg != X4 ),
inference(scs_inference,[],[i_0_49,i_0_26]) ).
cnf(i_0_116,plain,
c_in(X1,c_Message_Osynth(c_insert(X2,c_insert(X1,X3,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[115]) ).
cnf(i_0_117,plain,
( c_in(X1,c_Message_Osynth(c_insert(X2,X3,tc_Message_Omsg)),tc_Message_Omsg)
| X2 != X1 ),
inference(scs_inference,[],[i_0_42,i_0_24]) ).
cnf(i_0_118,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_119,plain,
v_X != 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),
inference(scs_inference,[],[i_0_9,i_0_42,i_0_24,i_0_10]) ).
cnf(i_0_120,plain,
c_in(X1,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[117]) ).
cnf(i_0_121,plain,
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,
inference(scs_inference,[],[i_0_119,i_0_19]) ).
cnf(i_0_122,plain,
( X1 != 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 != X1 ),
inference(scs_inference,[],[i_0_119,i_0_19,i_0_20]) ).
cnf(i_0_123,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),
inference(scs_inference,[],[i_0_121,i_0_33]) ).
cnf(i_0_124,plain,
( c_in(X1,X2,X3)
| ~ c_lessequals(c_insert(X4,c_insert(X1,X5,X3),X3),X2,tc_set(X3)) ),
inference(scs_inference,[],[i_0_40,i_0_13]) ).
cnf(i_0_125,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_126,plain,
( ~ c_lessequals(c_insert(X1,c_insert(X2,X3,X4),X4),X5,tc_set(X4))
| c_in(X2,c_insert(X6,X5,X4),X4) ),
inference(scs_inference,[],[i_0_40,i_0_13,i_0_12]) ).
cnf(i_0_127,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_128,plain,
( ~ c_lessequals(c_insert(X1,c_insert(X2,X3,tc_Message_Omsg),tc_Message_Omsg),X4,tc_set(tc_Message_Omsg))
| c_in(X2,c_Message_Osynth(X4),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_40,i_0_13,i_0_12,i_0_17]) ).
cnf(i_0_129,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_131,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),X1,tc_Message_Omsg)
| c_Message_Osynth(v_H) != X1 ),
inference(scs_inference,[],[i_0_123,i_0_25]) ).
cnf(i_0_132,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),X1)
| tc_Message_Omsg != X1 ),
inference(scs_inference,[],[i_0_123,i_0_25,i_0_26]) ).
cnf(i_0_133,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),
inference(equality_inference,[],[131]) ).
cnf(i_0_134,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),
inference(equality_inference,[],[132]) ).
cnf(i_0_135,plain,
( X1 != v_X
| 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) != X1 ),
inference(scs_inference,[],[i_0_121,i_0_20]) ).
cnf(i_0_136,plain,
( c_in(X1,c_Message_Osynth(v_H),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) != X1 ),
inference(scs_inference,[],[i_0_121,i_0_123,i_0_20,i_0_24]) ).
cnf(i_0_137,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),
inference(equality_inference,[],[136]) ).
cnf(i_0_138,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),X1,tc_Message_Omsg)
| ~ c_lessequals(c_Message_Osynth(v_H),X1,tc_set(tc_Message_Omsg)) ),
inference(scs_inference,[],[i_0_123,i_0_13]) ).
cnf(i_0_139,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_140,plain,
( ~ c_lessequals(c_Message_Osynth(v_H),X1,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_insert(X2,X1,tc_Message_Omsg),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_123,i_0_13,i_0_12]) ).
cnf(i_0_141,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_142,plain,
( ~ c_lessequals(c_Message_Osynth(v_H),X1,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(X1),tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_123,i_0_13,i_0_12,i_0_17]) ).
cnf(i_0_143,plain,
( ~ c_in(X1,X2,tc_Message_Omsg)
| c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_17]) ).
cnf(i_0_144,plain,
~ 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(scs_inference,[],[i_0_9,i_0_123,i_0_13,i_0_12,i_0_17,i_0_10]) ).
cnf(i_0_145,plain,
~ c_lessequals(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(scs_inference,[],[i_0_144,i_0_16]) ).
cnf(i_0_146,plain,
( c_lessequals(c_Message_Osynth(X1),c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg)) ),
inference(rename_variables,[],[i_0_16]) ).
cnf(i_0_147,plain,
~ c_in(c_Main_OsubsetI__1(c_Message_Osynth(v_H),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(scs_inference,[],[i_0_144,i_0_16,i_0_10]) ).
cnf(i_0_148,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_149,plain,
( c_in(X1,c_insert(X1,X2,X3),X4)
| X3 != X4 ),
inference(scs_inference,[],[i_0_144,i_0_15,i_0_16,i_0_10,i_0_26]) ).
cnf(i_0_150,plain,
v_X != c_Main_OsubsetI__1(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(scs_inference,[],[i_0_144,i_0_15,i_0_16,i_0_10,i_0_26,i_0_117]) ).
cnf(i_0_151,plain,
( X1 != X2
| c_in(X3,c_insert(X3,X4,X2),X1) ),
inference(scs_inference,[],[i_0_144,i_0_15,i_0_16,i_0_10,i_0_26,i_0_117,i_0_19]) ).
cnf(i_0_152,plain,
( c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X1
| c_insert(X1,X2,tc_Message_Omsg) != c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
| c_in(c_Main_OsubsetI__1(c_insert(X1,X2,tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),X2,tc_Message_Omsg) ),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_154,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(equality_inference,[],[149]) ).
cnf(i_0_155,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(equality_inference,[],[151]) ).
cnf(i_0_156,plain,
c_Main_OsubsetI__1(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) != v_X,
inference(scs_inference,[],[i_0_150,i_0_19]) ).
cnf(i_0_157,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),
inference(scs_inference,[],[i_0_145,i_0_150,i_0_19,i_0_10]) ).
cnf(i_0_158,plain,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_159,plain,
c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg) != c_insert(v_X,v_H,tc_Message_Omsg),
inference(scs_inference,[],[i_0_145,i_0_150,i_0_19,i_0_10,i_0_99]) ).
cnf(i_0_160,plain,
v_X != c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_145,i_0_150,i_0_19,i_0_10,i_0_99,i_0_45]) ).
cnf(i_0_161,plain,
c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg) != v_H,
inference(scs_inference,[],[i_0_157,i_0_100]) ).
cnf(i_0_162,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| c_insert(X1,X5,X4) != X3 ),
inference(rename_variables,[],[i_0_100]) ).
cnf(i_0_163,plain,
c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) != v_X,
inference(scs_inference,[],[i_0_157,i_0_160,i_0_100,i_0_19]) ).
cnf(i_0_164,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,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_157,i_0_160,i_0_100,i_0_19,i_0_11]) ).
cnf(i_0_165,plain,
( X1 = X2
| c_in(X1,X3,X4)
| ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_166,plain,
( X1 != c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| v_X != X1 ),
inference(scs_inference,[],[i_0_157,i_0_160,i_0_100,i_0_19,i_0_11,i_0_20]) ).
cnf(i_0_167,plain,
c_insert(v_X,v_H,tc_Message_Omsg) != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg),
inference(scs_inference,[],[i_0_159,i_0_19]) ).
cnf(i_0_168,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,c_insert(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_163,i_0_164,i_0_159,i_0_19,i_0_11]) ).
cnf(i_0_169,plain,
( c_in(X1,X2,X3)
| X1 = X4
| ~ c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_170,plain,
c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg) != c_insert(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(scs_inference,[],[i_0_163,i_0_164,i_0_159,i_0_15,i_0_19,i_0_11,i_0_25]) ).
cnf(i_0_171,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_172,plain,
~ c_lessequals(c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg),c_insert(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(scs_inference,[],[i_0_163,i_0_164,i_0_159,i_0_15,i_0_171,i_0_19,i_0_11,i_0_25,i_0_13]) ).
cnf(i_0_173,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_15]) ).
cnf(i_0_174,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,X4,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
inference(rename_variables,[],[i_0_13]) ).
cnf(i_0_175,plain,
v_H != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg),
inference(scs_inference,[],[i_0_161,i_0_19]) ).
cnf(i_0_176,plain,
( c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),X4)
| tc_Message_Omsg != X4 ),
inference(scs_inference,[],[i_0_161,i_0_56,i_0_19,i_0_26]) ).
cnf(i_0_177,plain,
( c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X3,X4,tc_Message_Omsg)),tc_Message_Omsg),X5)
| tc_Message_Omsg != X5
| X3 != X1 ),
inference(scs_inference,[],[i_0_161,i_0_56,i_0_19,i_0_26,i_0_24]) ).
cnf(i_0_178,plain,
c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(equality_inference,[],[176]) ).
cnf(i_0_179,plain,
c_insert(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X1,tc_Message_Omsg),
inference(scs_inference,[],[i_0_170,i_0_19]) ).
cnf(i_0_180,plain,
( X1 != v_X
| c_Main_OsubsetI__1(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) != X1 ),
inference(scs_inference,[],[i_0_156,i_0_20]) ).
cnf(i_0_181,plain,
( X1 != c_Main_OsubsetI__1(c_Message_Osynth(v_H),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| X1 != v_X ),
inference(scs_inference,[],[i_0_156,i_0_20,i_0_19]) ).
cnf(i_0_183,plain,
( c_in(X1,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),X3)
| tc_Message_Omsg != X3 ),
inference(scs_inference,[],[i_0_42,i_0_26]) ).
cnf(i_0_184,plain,
( tc_Message_Omsg != X1
| c_in(X2,c_insert(X3,c_Message_Osynth(c_insert(X2,X4,tc_Message_Omsg)),X1),X1) ),
inference(scs_inference,[],[i_0_42,i_0_26,i_0_12]) ).
cnf(i_0_185,plain,
( ~ c_in(X1,X2,X3)
| c_in(X1,c_insert(X4,X2,X3),X3) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_187,plain,
c_in(X1,c_Message_Osynth(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg),
inference(equality_inference,[],[183]) ).
cnf(i_0_188,plain,
c_in(X1,c_insert(X2,c_Message_Osynth(c_insert(X1,X3,tc_Message_Omsg)),tc_Message_Omsg),tc_Message_Omsg),
inference(equality_inference,[],[184]) ).
cnf(i_0_189,plain,
( X1 != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_insert(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) != X1 ),
inference(scs_inference,[],[i_0_179,i_0_20]) ).
cnf(i_0_190,plain,
( X1 != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg)
| v_H != X1 ),
inference(scs_inference,[],[i_0_175,i_0_20]) ).
cnf(i_0_191,plain,
( X1 != v_H
| X1 != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_175,i_0_20,i_0_19]) ).
cnf(i_0_193,plain,
( X1 != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg)
| c_insert(v_X,v_H,tc_Message_Omsg) != X1 ),
inference(scs_inference,[],[i_0_167,i_0_20]) ).
cnf(i_0_194,plain,
( X1 != c_insert(v_X,v_H,tc_Message_Omsg)
| X1 != c_insert(c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg),X2,tc_Message_Omsg) ),
inference(scs_inference,[],[i_0_167,i_0_20,i_0_19]) ).
cnf(i_0_196,plain,
( X1 != v_X
| c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg) != X1 ),
inference(scs_inference,[],[i_0_163,i_0_20]) ).
cnf(i_0_197,plain,
( X1 != c_Main_OsubsetI__1(v_H,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| X1 != v_X ),
inference(scs_inference,[],[i_0_163,i_0_20,i_0_19]) ).
cnf(i_0_199,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),
inference(scs_inference,[],[i_0_157,i_0_12]) ).
cnf(i_0_200,plain,
( c_in(X1,c_insert(X2,X3,X4),X4)
| ~ c_in(X1,X3,X4) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_201,plain,
$false,
inference(scs_inference,[],[i_0_145,i_0_157,i_0_12,i_0_14]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV275-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 05:00:18 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 49.63/25.68 % Version : CSE_E---1.7
% 49.63/25.68 % Problem : theBenchmark.p
% 49.63/25.68 % SZS status Unsatisfiable for theBenchmark.p
% 49.63/25.68 % SZS output start CNFRefutation
% See solution above
% 49.98/25.87 % Total time : 25.327s
%------------------------------------------------------------------------------