%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LCL443-2 : TPTP v9.2.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 04:40:23 PM UTC 2026
% Result : Unsatisfiable 49.72s 25.67s
% Output : CNFRefutation 50.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of clauses : 420 ( 227 unt; 0 nHn; 237 RR)
% Number of literals : 641 ( 0 equ; 301 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 1094 ( 254 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_PropLog_Odeduction_0,axiom,
( c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
| ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Odeduction_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_PropLog_Othms_OMP_0,axiom,
( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OMP_0) ).
cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__insert_0) ).
cnf(cls_PropLog_Othms_OH_0,axiom,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_PropLog_Othms_OH_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Set_OinsertCI_1,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(i_0_8,axiom,
( c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4))
| ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)) ),
cls_PropLog_Odeduction_0,
[final] ).
cnf(i_0_9,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_2,
[final] ).
cnf(i_0_10,axiom,
( c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
cls_PropLog_Othms_OMP_0,
[final] ).
cnf(i_0_11,axiom,
( c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
cls_PropLog_Oweaken__left__insert_0,
[final] ).
cnf(i_0_12,axiom,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
cls_PropLog_Othms_OH_0,
[final] ).
cnf(i_0_13,negated_conjecture,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_1,
[final] ).
cnf(i_0_14,axiom,
c_in(X1,c_insert(X1,X2,X3),X3),
cls_Set_OinsertCI_1,
[final] ).
cnf(i_0_15,negated_conjecture,
c_in(v_p,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
cls_conjecture_0,
[final] ).
cnf(i_0_16,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_13,i_0_12]) ).
cnf(i_0_17,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_18,plain,
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
inference(scs_inference,[],[i_0_13,i_0_12,i_0_10]) ).
cnf(i_0_19,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_20,plain,
c_in(v_p,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_15,i_0_12]) ).
cnf(i_0_21,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_22,plain,
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_q,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(scs_inference,[],[i_0_15,i_0_16,i_0_12,i_0_10]) ).
cnf(i_0_23,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_24,plain,
c_in(v_p,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_20,i_0_12]) ).
cnf(i_0_25,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_26,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_16,i_0_12]) ).
cnf(i_0_27,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_28,plain,
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_q,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(scs_inference,[],[i_0_16,i_0_12,i_0_10]) ).
cnf(i_0_29,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_30,plain,
c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_14,i_0_12]) ).
cnf(i_0_31,plain,
c_in(X1,c_insert(X1,X2,X3),X3),
inference(rename_variables,[],[i_0_14]) ).
cnf(i_0_32,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_33,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_8]) ).
cnf(i_0_34,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_35,plain,
( c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(scs_inference,[],[i_0_14,i_0_12,i_0_8,i_0_10]) ).
cnf(i_0_36,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_37,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_33,i_0_8]) ).
cnf(i_0_38,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_39,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_40,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X1,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_33,i_0_38,i_0_30,i_0_8,i_0_10]) ).
cnf(i_0_41,plain,
c_in(X1,c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(rename_variables,[],[i_0_30]) ).
cnf(i_0_42,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_43,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_44,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
inference(scs_inference,[],[i_0_37,i_0_8]) ).
cnf(i_0_45,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_46,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_47,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),X3,X2),X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)),
inference(scs_inference,[],[i_0_40,i_0_8]) ).
cnf(i_0_48,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_49,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Oop_A_N_62(X4,X4,X5),X5),X5),X5),c_PropLog_Othms(X6,X5),tc_PropLog_Opl(X5)),
inference(scs_inference,[],[i_0_44,i_0_8]) ).
cnf(i_0_50,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_51,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_52,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_44,i_0_26,i_0_8,i_0_12]) ).
cnf(i_0_53,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_54,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X1,t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_44,i_0_47,i_0_9,i_0_26,i_0_8,i_0_12,i_0_10]) ).
cnf(i_0_55,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),X3,X2),X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_56,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_57,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X4,X3),X4,X3),X3),c_PropLog_Othms(X5,X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_47,i_0_8]) ).
cnf(i_0_58,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X1,X2),X3,X2),X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)),
inference(rename_variables,[],[i_0_47]) ).
cnf(i_0_59,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X2,X1,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_60,plain,
c_in(v_p,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_47,i_0_24,i_0_8,i_0_12]) ).
cnf(i_0_61,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_62,plain,
( c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_in(v_q,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(scs_inference,[],[i_0_47,i_0_24,i_0_52,i_0_8,i_0_12,i_0_10]) ).
cnf(i_0_63,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_64,plain,
c_in(X1,c_PropLog_Othms(c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X1,X3),X4,tc_PropLog_Opl(X3)),X3),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_40,i_0_12]) ).
cnf(i_0_65,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_66,plain,
c_in(X1,c_PropLog_Othms(c_PropLog_Othms(c_insert(X1,X2,tc_PropLog_Opl(X3)),X3),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_30,i_0_12]) ).
cnf(i_0_67,plain,
( ~ c_in(X1,X2,tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_68,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_60,i_0_11]) ).
cnf(i_0_69,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_70,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,X4),X4),X1,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
inference(scs_inference,[],[i_0_60,i_0_37,i_0_11,i_0_35]) ).
cnf(i_0_71,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_72,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_73,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_60,i_0_37,i_0_11,i_0_35,i_0_8]) ).
cnf(i_0_74,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_75,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_60,i_0_37,i_0_11,i_0_35,i_0_8,i_0_12]) ).
cnf(i_0_76,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_77,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_60,i_0_15,i_0_37,i_0_11,i_0_35,i_0_8,i_0_12,i_0_10]) ).
cnf(i_0_78,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_79,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Oop_A_N_62(X4,X4,X5),X5),X1,X5),X6,tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),
inference(scs_inference,[],[i_0_70,i_0_11]) ).
cnf(i_0_80,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_81,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_70,i_0_68,i_0_11,i_0_35]) ).
cnf(i_0_82,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_68]) ).
cnf(i_0_83,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_84,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_77,i_0_70,i_0_68,i_0_11,i_0_35,i_0_8]) ).
cnf(i_0_85,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_86,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_77,i_0_70,i_0_68,i_0_11,i_0_35,i_0_8,i_0_12]) ).
cnf(i_0_87,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_88,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_PropLog_Othms(c_insert(X1,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
inference(scs_inference,[],[i_0_66,i_0_11]) ).
cnf(i_0_89,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_90,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,c_PropLog_Opl_Oop_A_N_62(X5,X5,X3),X3),X2,X3),X6,tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_66,i_0_79,i_0_11,i_0_35]) ).
cnf(i_0_91,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Oop_A_N_62(X4,X4,X5),X5),X1,X5),X6,tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),
inference(rename_variables,[],[i_0_79]) ).
cnf(i_0_92,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_93,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_54,i_0_66,i_0_79,i_0_11,i_0_35,i_0_8]) ).
cnf(i_0_94,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_95,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_54,i_0_66,i_0_79,i_0_11,i_0_35,i_0_8,i_0_12]) ).
cnf(i_0_96,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_97,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),
inference(scs_inference,[],[i_0_88,i_0_11]) ).
cnf(i_0_98,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_99,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_PropLog_Othms(c_insert(X2,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_88,i_0_11,i_0_35]) ).
cnf(i_0_100,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_PropLog_Othms(c_insert(X1,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
inference(rename_variables,[],[i_0_88]) ).
cnf(i_0_101,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_102,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_93,i_0_88,i_0_11,i_0_35,i_0_8]) ).
cnf(i_0_103,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_104,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_93,i_0_88,i_0_11,i_0_35,i_0_8,i_0_12]) ).
cnf(i_0_105,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_106,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X3,X1,X4),c_PropLog_Othms(c_insert(X3,X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
inference(scs_inference,[],[i_0_99,i_0_11]) ).
cnf(i_0_107,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_108,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_insert(X4,c_PropLog_Othms(c_insert(X2,X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_99,i_0_97,i_0_11,i_0_35]) ).
cnf(i_0_109,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),tc_PropLog_Opl(X5)),X5),tc_PropLog_Opl(X5)),
inference(rename_variables,[],[i_0_97]) ).
cnf(i_0_110,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_111,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_84,i_0_99,i_0_97,i_0_11,i_0_35,i_0_8]) ).
cnf(i_0_112,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_113,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_84,i_0_99,i_0_97,i_0_11,i_0_35,i_0_8,i_0_12]) ).
cnf(i_0_114,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_115,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,t_a),t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_84,i_0_99,i_0_97,i_0_44,i_0_11,i_0_35,i_0_8,i_0_12,i_0_10]) ).
cnf(i_0_116,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,X4),X4),X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)),
inference(rename_variables,[],[i_0_44]) ).
cnf(i_0_117,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_118,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_81,i_0_11]) ).
cnf(i_0_119,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_120,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,t_a),t_a),t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_115,i_0_81,i_0_11,i_0_8]) ).
cnf(i_0_121,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_122,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_115,i_0_81,i_0_11,i_0_8,i_0_12]) ).
cnf(i_0_123,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_124,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X3,X3,X4),X1,X4),X5,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4)),
inference(scs_inference,[],[i_0_64,i_0_11]) ).
cnf(i_0_125,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_126,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X3,X3,t_a),t_a),t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_64,i_0_120,i_0_11,i_0_8]) ).
cnf(i_0_127,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_128,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_64,i_0_120,i_0_11,i_0_8,i_0_12]) ).
cnf(i_0_129,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_130,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,X3),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X4,X4,X3),X2,X3),X5,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)),
inference(scs_inference,[],[i_0_9,i_0_64,i_0_120,i_0_11,i_0_8,i_0_12,i_0_35]) ).
cnf(i_0_131,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_132,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_20,i_0_11]) ).
cnf(i_0_133,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_134,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_20,i_0_11,i_0_12]) ).
cnf(i_0_135,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_136,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_20,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_137,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_138,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_136,i_0_11]) ).
cnf(i_0_139,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_140,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_136,i_0_11,i_0_12]) ).
cnf(i_0_141,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_142,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_136,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_143,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_144,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_136,i_0_132,i_0_11,i_0_12,i_0_35,i_0_10]) ).
cnf(i_0_145,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_132]) ).
cnf(i_0_146,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_136]) ).
cnf(i_0_147,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_148,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_138,i_0_11]) ).
cnf(i_0_149,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_150,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_138,i_0_11,i_0_12]) ).
cnf(i_0_151,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_152,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_144,i_0_11]) ).
cnf(i_0_153,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_154,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_144,i_0_11,i_0_12]) ).
cnf(i_0_155,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_156,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_144,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_157,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_158,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_152,i_0_11]) ).
cnf(i_0_159,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_160,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_152,i_0_11,i_0_12]) ).
cnf(i_0_161,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_162,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_24,i_0_11]) ).
cnf(i_0_163,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_164,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_24,i_0_11,i_0_12]) ).
cnf(i_0_165,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_166,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_24,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_167,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_168,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_142,i_0_24,i_0_138,i_0_11,i_0_12,i_0_35,i_0_10]) ).
cnf(i_0_169,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_138]) ).
cnf(i_0_170,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_142]) ).
cnf(i_0_171,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_172,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_166,i_0_11]) ).
cnf(i_0_173,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_174,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_166,i_0_11,i_0_12]) ).
cnf(i_0_175,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_176,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_166,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_177,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_178,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_162,i_0_11]) ).
cnf(i_0_179,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_180,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_162,i_0_11,i_0_12]) ).
cnf(i_0_181,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_182,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_162,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_183,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_184,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_172,i_0_11]) ).
cnf(i_0_185,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_186,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_172,i_0_11,i_0_12]) ).
cnf(i_0_187,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_188,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_182,i_0_11]) ).
cnf(i_0_189,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_190,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_182,i_0_11,i_0_12]) ).
cnf(i_0_191,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_192,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_176,i_0_182,i_0_178,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_193,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_178]) ).
cnf(i_0_194,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_176]) ).
cnf(i_0_195,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_196,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_132,i_0_11]) ).
cnf(i_0_197,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_198,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_132,i_0_11,i_0_12]) ).
cnf(i_0_199,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_200,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_132,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_201,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_202,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_200,i_0_11]) ).
cnf(i_0_203,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_204,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_200,i_0_11,i_0_12]) ).
cnf(i_0_205,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_206,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_196,i_0_11]) ).
cnf(i_0_207,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_208,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_196,i_0_11,i_0_12]) ).
cnf(i_0_209,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_210,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_insert(X3,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_196,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_211,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_212,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_206,i_0_11]) ).
cnf(i_0_213,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_214,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_206,i_0_11,i_0_12]) ).
cnf(i_0_215,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_216,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(X3,X1,t_a),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X3,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_148,i_0_202,i_0_206,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_217,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_148]) ).
cnf(i_0_218,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_202]) ).
cnf(i_0_219,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_220,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_178,i_0_11]) ).
cnf(i_0_221,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_222,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_178,i_0_11,i_0_12]) ).
cnf(i_0_223,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_224,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_178,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_225,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_226,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_220,i_0_11]) ).
cnf(i_0_227,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_228,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_220,i_0_11,i_0_12]) ).
cnf(i_0_229,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_230,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_68,i_0_11]) ).
cnf(i_0_231,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_232,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_68,i_0_11,i_0_12]) ).
cnf(i_0_233,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_234,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_68,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_235,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_236,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_52,i_0_11]) ).
cnf(i_0_237,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_238,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_52,i_0_11,i_0_12]) ).
cnf(i_0_239,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_240,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_52,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_241,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_242,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),t_a),c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_210,i_0_158,i_0_52,i_0_11,i_0_12,i_0_35,i_0_10]) ).
cnf(i_0_243,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_244,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_insert(X3,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_210]) ).
cnf(i_0_245,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_246,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_236,i_0_11]) ).
cnf(i_0_247,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_248,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_236,i_0_11,i_0_12]) ).
cnf(i_0_249,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_250,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_26,i_0_11]) ).
cnf(i_0_251,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_252,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_26,i_0_11,i_0_12]) ).
cnf(i_0_253,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_254,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_26,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_255,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_256,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_250,i_0_11]) ).
cnf(i_0_257,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_258,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_250,i_0_11,i_0_12]) ).
cnf(i_0_259,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_260,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_250,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_261,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_262,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_254,i_0_11]) ).
cnf(i_0_263,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_264,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_254,i_0_11,i_0_12]) ).
cnf(i_0_265,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_266,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X2,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_254,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_267,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_268,plain,
c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_insert(X1,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_254,i_0_256,i_0_260,i_0_11,i_0_12,i_0_35,i_0_10]) ).
cnf(i_0_269,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_260]) ).
cnf(i_0_270,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_256]) ).
cnf(i_0_271,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_272,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_262,i_0_11]) ).
cnf(i_0_273,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_274,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_262,i_0_11,i_0_12]) ).
cnf(i_0_275,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_276,plain,
c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(X1,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_insert(X2,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_268,i_0_11]) ).
cnf(i_0_277,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_278,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_268,i_0_11,i_0_12]) ).
cnf(i_0_279,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_280,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_256,i_0_11]) ).
cnf(i_0_281,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_282,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_256,i_0_11,i_0_12]) ).
cnf(i_0_283,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_284,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_insert(X2,c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_256,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_285,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_286,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),X1,t_a),c_insert(X3,c_PropLog_Othms(c_PropLog_Othms(v_H,t_a),t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_260,i_0_11]) ).
cnf(i_0_287,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_288,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_260,i_0_11,i_0_12]) ).
cnf(i_0_289,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_290,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_156,i_0_196,i_0_260,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_291,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_196]) ).
cnf(i_0_292,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_156]) ).
cnf(i_0_293,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_294,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_15,i_0_11]) ).
cnf(i_0_295,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_296,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_15,i_0_11,i_0_12]) ).
cnf(i_0_297,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_298,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_15,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_299,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_300,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_298,i_0_11]) ).
cnf(i_0_301,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_302,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_298,i_0_11,i_0_12]) ).
cnf(i_0_303,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_304,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_73,i_0_298,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_305,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_298]) ).
cnf(i_0_306,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_307,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_73,i_0_298,i_0_11,i_0_12,i_0_10,i_0_8]) ).
cnf(i_0_308,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_309,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_q,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_73,i_0_298,i_0_11,i_0_12,i_0_10,i_0_8,i_0_35]) ).
cnf(i_0_310,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_311,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_300,i_0_35]) ).
cnf(i_0_312,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_300]) ).
cnf(i_0_313,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_314,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_294,i_0_300,i_0_35,i_0_11]) ).
cnf(i_0_315,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_316,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_294,i_0_300,i_0_35,i_0_11,i_0_12]) ).
cnf(i_0_317,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_318,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_304,i_0_294,i_0_300,i_0_35,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_319,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_294]) ).
cnf(i_0_320,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_321,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_304,i_0_294,i_0_300,i_0_35,i_0_11,i_0_12,i_0_10,i_0_8]) ).
cnf(i_0_322,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_323,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_321,i_0_8]) ).
cnf(i_0_324,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_325,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_321,i_0_314,i_0_8,i_0_35]) ).
cnf(i_0_326,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_327,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_328,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X3,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X3,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_321,i_0_311,i_0_314,i_0_8,i_0_35,i_0_11]) ).
cnf(i_0_329,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_330,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_321,i_0_311,i_0_314,i_0_8,i_0_35,i_0_11,i_0_12]) ).
cnf(i_0_331,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_332,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_111,i_0_321,i_0_311,i_0_314,i_0_326,i_0_8,i_0_35,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_333,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_314]) ).
cnf(i_0_334,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_335,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_332,i_0_8]) ).
cnf(i_0_336,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_337,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_332,i_0_325,i_0_8,i_0_11]) ).
cnf(i_0_338,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_339,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_332,i_0_325,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_340,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_341,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_332,i_0_325,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_342,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_325]) ).
cnf(i_0_343,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_344,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_q,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_332,i_0_325,i_0_8,i_0_11,i_0_12,i_0_10,i_0_35]) ).
cnf(i_0_345,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_346,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_q,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_341,i_0_8]) ).
cnf(i_0_347,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_348,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_337,i_0_341,i_0_8,i_0_35]) ).
cnf(i_0_349,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_337]) ).
cnf(i_0_350,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_351,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X4,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_337,i_0_349,i_0_341,i_0_8,i_0_35,i_0_11]) ).
cnf(i_0_352,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_353,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_337,i_0_349,i_0_341,i_0_8,i_0_35,i_0_11,i_0_12]) ).
cnf(i_0_354,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_355,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_337,i_0_349,i_0_341,i_0_335,i_0_8,i_0_35,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_356,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_337]) ).
cnf(i_0_357,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_358,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_355,i_0_8]) ).
cnf(i_0_359,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_360,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_355,i_0_300,i_0_8,i_0_11]) ).
cnf(i_0_361,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_362,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_355,i_0_300,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_363,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_364,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_355,i_0_328,i_0_348,i_0_300,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_365,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(X3,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X3,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_328]) ).
cnf(i_0_366,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_348]) ).
cnf(i_0_367,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_368,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_355,i_0_328,i_0_348,i_0_300,i_0_8,i_0_11,i_0_12,i_0_10,i_0_35]) ).
cnf(i_0_369,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_370,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_p,c_insert(v_q,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_346,i_0_8]) ).
cnf(i_0_371,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_372,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(X4,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_360,i_0_346,i_0_8,i_0_11]) ).
cnf(i_0_373,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_374,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_360,i_0_346,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_375,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_376,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_360,i_0_346,i_0_323,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_377,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(X3,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_360]) ).
cnf(i_0_378,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_379,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_376,i_0_8]) ).
cnf(i_0_380,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_381,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_376,i_0_314,i_0_8,i_0_11]) ).
cnf(i_0_382,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_383,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_376,i_0_314,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_384,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_385,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_102,i_0_376,i_0_311,i_0_314,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_386,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X2,X1,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X2,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_311]) ).
cnf(i_0_387,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X1,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_102]) ).
cnf(i_0_388,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_389,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_102,i_0_376,i_0_311,i_0_314,i_0_8,i_0_11,i_0_12,i_0_10,i_0_35]) ).
cnf(i_0_390,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_391,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_p,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_385,i_0_8]) ).
cnf(i_0_392,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_393,plain,
c_in(X1,c_PropLog_Othms(c_insert(X2,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X3,c_insert(X4,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_385,i_0_389,i_0_8,i_0_11]) ).
cnf(i_0_394,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_395,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_385,i_0_389,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_396,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_397,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_385,i_0_389,i_0_381,i_0_376,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_398,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(rename_variables,[],[i_0_381]) ).
cnf(i_0_399,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X4,X1,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_400,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,c_insert(v_q,c_insert(v_p,c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_397,i_0_8]) ).
cnf(i_0_401,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_402,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_318,i_0_397,i_0_8,i_0_11]) ).
cnf(i_0_403,plain,
( c_in(X1,c_PropLog_Othms(c_insert(X2,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
| ~ c_in(X1,c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_404,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_318,i_0_397,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_405,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_406,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X2,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_318,i_0_397,i_0_37,i_0_8,i_0_11,i_0_12,i_0_10]) ).
cnf(i_0_407,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Oop_A_N_62(X2,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_408,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X4,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X1,X4,X3),c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_10]) ).
cnf(i_0_409,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_q,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_402,i_0_8]) ).
cnf(i_0_410,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_411,plain,
c_in(v_p,c_PropLog_Othms(c_insert(X1,c_insert(X2,c_insert(X3,c_insert(X4,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_402,i_0_381,i_0_8,i_0_11]) ).
cnf(i_0_412,plain,
( ~ c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| c_in(X1,c_PropLog_Othms(c_insert(X4,X2,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_11]) ).
cnf(i_0_413,plain,
~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,v_q,t_a),c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_402,i_0_381,i_0_8,i_0_11,i_0_12]) ).
cnf(i_0_414,plain,
( c_in(X1,c_PropLog_Othms(X2,X3),tc_PropLog_Opl(X3))
| ~ c_in(X1,X2,tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_12]) ).
cnf(i_0_415,plain,
c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,X1,t_a),c_insert(X2,c_insert(X3,c_insert(X4,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_9,i_0_402,i_0_381,i_0_8,i_0_11,i_0_12,i_0_35]) ).
cnf(i_0_416,plain,
( ~ c_in(X1,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3))
| c_in(X2,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_35]) ).
cnf(i_0_417,plain,
~ c_in(c_PropLog_Opl_Ofalse,c_PropLog_Othms(c_insert(v_q,c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(scs_inference,[],[i_0_409,i_0_8]) ).
cnf(i_0_418,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
| ~ c_in(X2,c_PropLog_Othms(c_insert(X1,X4,tc_PropLog_Opl(X3)),X3),tc_PropLog_Opl(X3)) ),
inference(rename_variables,[],[i_0_8]) ).
cnf(i_0_419,plain,
$false,
inference(scs_inference,[],[i_0_409,i_0_13,i_0_8,i_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL443-2 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n010.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 22:35:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 49.72/25.67 % Version : CSE_E---1.7
% 49.72/25.67 % Problem : theBenchmark.p
% 49.72/25.67 % SZS status Unsatisfiable for theBenchmark.p
% 49.72/25.67 % SZS output start CNFRefutation
% See solution above
% 50.48/26.06 % Total time : 25.322s
%------------------------------------------------------------------------------