%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN576-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:39:40 PM UTC 2026
% Result : Unsatisfiable 57.57s 30.68s
% Output : CNFRefutation 58.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 22
% Syntax : Number of clauses : 318 ( 100 unt; 5 nHn; 234 RR)
% Number of literals : 752 ( 0 equ; 448 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 1029 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_p12_17,negated_conjecture,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p12_17) ).
cnf(p12_22,negated_conjecture,
( p12(f7(f9(X1,c14,f3(X2,X3)),f3(X2,X3)),f6(X1))
| ~ p12(X3,f6(X1))
| ~ p12(X2,f6(X1))
| ~ p11(f10(X2),f10(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_22) ).
cnf(p12_21,negated_conjecture,
( p12(f7(f9(X1,c14,f3(X2,X3)),X3),f6(X1))
| ~ p12(X3,f6(X1))
| ~ p12(X2,f6(X1))
| ~ p11(f10(X2),f10(X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_21) ).
cnf(p2_20,negated_conjecture,
( p2(f9(X1,X2,X3),f9(X4,X5,X6))
| ~ p4(X1,X4)
| ~ p8(X2,X5)
| ~ p2(X3,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_20) ).
cnf(p2_19,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_19) ).
cnf(p2_18,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p11_15,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_15) ).
cnf(p12_16,negated_conjecture,
( p12(X1,X2)
| ~ p2(X3,X1)
| ~ p5(X4,X2)
| ~ p12(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_16) ).
cnf(p2_8,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_8) ).
cnf(p5_14,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_14) ).
cnf(p4_13,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_13) ).
cnf(p2_12,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_12) ).
cnf(p8_11,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_11) ).
cnf(p5_9,negated_conjecture,
( p5(f6(X1),f6(X2))
| ~ p4(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_9) ).
cnf(p2_10,negated_conjecture,
( p2(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_10) ).
cnf(p11_7,negated_conjecture,
( p11(X1,X2)
| p11(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_7) ).
cnf(p12_6,negated_conjecture,
p12(c16,f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_6) ).
cnf(p12_5,negated_conjecture,
p12(c15,f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_5) ).
cnf(p5_4,negated_conjecture,
p5(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_4) ).
cnf(p4_3,negated_conjecture,
p4(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_3) ).
cnf(p2_2,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_2) ).
cnf(p8_1,negated_conjecture,
p8(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p8_1) ).
cnf(i_0_22,negated_conjecture,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
not_p12_17,
[final] ).
cnf(i_0_23,negated_conjecture,
( p12(f7(f9(X1,c14,f3(X2,X3)),f3(X2,X3)),f6(X1))
| ~ p12(X3,f6(X1))
| ~ p12(X2,f6(X1))
| ~ p11(f10(X2),f10(X3)) ),
p12_22,
[final] ).
cnf(i_0_24,negated_conjecture,
( p12(f7(f9(X1,c14,f3(X2,X3)),X3),f6(X1))
| ~ p12(X3,f6(X1))
| ~ p12(X2,f6(X1))
| ~ p11(f10(X2),f10(X3)) ),
p12_21,
[final] ).
cnf(i_0_25,negated_conjecture,
( p2(f9(X1,X2,X3),f9(X4,X5,X6))
| ~ p4(X1,X4)
| ~ p8(X2,X5)
| ~ p2(X3,X6) ),
p2_20,
[final] ).
cnf(i_0_26,negated_conjecture,
( p2(f7(X1,X2),f7(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_19,
[final] ).
cnf(i_0_27,negated_conjecture,
( p2(f3(X1,X2),f3(X3,X4))
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
p2_18,
[final] ).
cnf(i_0_28,negated_conjecture,
( p11(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p11(X3,X4) ),
p11_15,
[final] ).
cnf(i_0_29,negated_conjecture,
( p12(X1,X2)
| ~ p2(X3,X1)
| ~ p5(X4,X2)
| ~ p12(X3,X4) ),
p12_16,
[final] ).
cnf(i_0_30,negated_conjecture,
p2(f3(X1,X2),f3(X2,X1)),
p2_8,
[final] ).
cnf(i_0_31,negated_conjecture,
( p5(X1,X2)
| ~ p5(X3,X1)
| ~ p5(X3,X2) ),
p5_14,
[final] ).
cnf(i_0_32,negated_conjecture,
( p4(X1,X2)
| ~ p4(X3,X1)
| ~ p4(X3,X2) ),
p4_13,
[final] ).
cnf(i_0_33,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
p2_12,
[final] ).
cnf(i_0_34,negated_conjecture,
( p8(X1,X2)
| ~ p8(X3,X1)
| ~ p8(X3,X2) ),
p8_11,
[final] ).
cnf(i_0_35,negated_conjecture,
( p5(f6(X1),f6(X2))
| ~ p4(X1,X2) ),
p5_9,
[final] ).
cnf(i_0_36,negated_conjecture,
( p2(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
p2_10,
[final] ).
cnf(i_0_37,negated_conjecture,
( p11(X1,X2)
| p11(X2,X1) ),
p11_7,
[final] ).
cnf(i_0_38,negated_conjecture,
p12(c16,f6(c13)),
p12_6,
[final] ).
cnf(i_0_39,negated_conjecture,
p12(c15,f6(c13)),
p12_5,
[final] ).
cnf(i_0_40,negated_conjecture,
p5(X1,X1),
p5_4,
[final] ).
cnf(i_0_41,negated_conjecture,
p4(X1,X1),
p4_3,
[final] ).
cnf(i_0_42,negated_conjecture,
p2(X1,X1),
p2_2,
[final] ).
cnf(i_0_43,negated_conjecture,
p8(X1,X1),
p8_1,
[final] ).
cnf(i_0_44,plain,
~ p11(f10(c15),f10(c16)),
inference(scs_inference,[],[i_0_22,i_0_38,i_0_39,i_0_23]) ).
cnf(i_0_45,plain,
( p12(f7(f9(X1,c14,f3(X2,X3)),f3(X2,X3)),f6(X1))
| ~ p12(X3,f6(X1))
| ~ p12(X2,f6(X1))
| ~ p11(f10(X2),f10(X3)) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_46,plain,
~ p2(c16,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_38,i_0_39,i_0_23,i_0_29]) ).
cnf(i_0_47,plain,
p5(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_48,plain,
( ~ p12(X1,X2)
| p12(X3,X4)
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_49,plain,
p11(f10(c16),f10(c15)),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_38,i_0_39,i_0_23,i_0_29,i_0_37]) ).
cnf(i_0_50,plain,
( p11(X1,X2)
| p11(X2,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_51,plain,
~ p2(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),c16),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_42,i_0_38,i_0_39,i_0_23,i_0_29,i_0_37,i_0_33]) ).
cnf(i_0_52,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_53,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_54,plain,
( ~ p2(f10(c16),f10(c15))
| ~ p2(f10(c15),f10(c16)) ),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_42,i_0_38,i_0_39,i_0_23,i_0_29,i_0_37,i_0_33,i_0_28]) ).
cnf(i_0_55,plain,
( ~ p11(X1,X2)
| p11(X3,X4)
| ~ p2(X1,X3)
| ~ p2(X2,X4) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_56,plain,
( ~ p2(c16,c15)
| ~ p2(f10(c15),f10(c16)) ),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_42,i_0_38,i_0_39,i_0_23,i_0_29,i_0_37,i_0_33,i_0_28,i_0_36]) ).
cnf(i_0_57,plain,
( p2(f10(X1),f10(X2))
| ~ p2(X1,X2) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_58,plain,
~ p2(c15,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))),
inference(scs_inference,[],[i_0_22,i_0_40,i_0_39,i_0_29]) ).
cnf(i_0_59,plain,
p5(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_60,plain,
( ~ p12(X1,X2)
| p12(X3,X4)
| ~ p2(X1,X3)
| ~ p5(X2,X4) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_61,plain,
~ p2(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),c15),
inference(scs_inference,[],[i_0_58,i_0_42,i_0_33]) ).
cnf(i_0_62,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_63,plain,
( ~ p2(X1,X2)
| p2(X3,X2)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_64,plain,
p2(f10(f3(X1,X2)),f10(f3(X2,X1))),
inference(scs_inference,[],[i_0_30,i_0_36]) ).
cnf(i_0_65,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_66,plain,
p2(f7(f3(X1,X2),f3(X1,X2)),f7(f3(X2,X1),f3(X2,X1))),
inference(scs_inference,[],[i_0_30,i_0_36,i_0_26]) ).
cnf(i_0_67,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_68,plain,
p2(f3(f3(X1,X2),f3(X1,X2)),f3(f3(X2,X1),f3(X2,X1))),
inference(scs_inference,[],[i_0_30,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_69,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_70,plain,
p2(f9(X1,X2,f3(X3,X4)),f9(X1,X2,f3(X4,X3))),
inference(scs_inference,[],[i_0_30,i_0_41,i_0_43,i_0_36,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_71,plain,
( ~ p4(X1,X2)
| ~ p8(X3,X4)
| ~ p2(X5,X6)
| p2(f9(X1,X3,X5),f9(X2,X4,X6)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_72,plain,
p12(f7(f9(c13,c14,f3(c16,c15)),c15),f6(c13)),
inference(scs_inference,[],[i_0_30,i_0_41,i_0_43,i_0_49,i_0_38,i_0_39,i_0_36,i_0_26,i_0_27,i_0_25,i_0_24]) ).
cnf(i_0_73,plain,
( ~ p12(X1,f6(X2))
| ~ p11(f10(X1),f10(X3))
| ~ p12(X3,f6(X2))
| p12(f7(f9(X2,c14,f3(X1,X3)),X3),f6(X2)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_74,plain,
( ~ p11(X1,f3(X2,X3))
| p11(X1,f3(X3,X2)) ),
inference(scs_inference,[],[i_0_30,i_0_41,i_0_43,i_0_49,i_0_42,i_0_38,i_0_39,i_0_36,i_0_26,i_0_27,i_0_25,i_0_24,i_0_28]) ).
cnf(i_0_75,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_76,plain,
p12(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f6(c13)),
inference(scs_inference,[],[i_0_30,i_0_41,i_0_43,i_0_49,i_0_42,i_0_38,i_0_39,i_0_36,i_0_26,i_0_27,i_0_25,i_0_24,i_0_28,i_0_23]) ).
cnf(i_0_77,plain,
( ~ p12(X1,f6(X2))
| ~ p11(f10(X1),f10(X3))
| ~ p12(X3,f6(X2))
| p12(f7(f9(X2,c14,f3(X1,X3)),f3(X1,X3)),f6(X2)) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_78,plain,
p2(f10(f7(f3(X1,X2),f3(X1,X2))),f10(f7(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_66,i_0_36]) ).
cnf(i_0_79,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_80,plain,
p2(f7(f7(f3(X1,X2),f3(X1,X2)),f7(f3(X1,X2),f3(X1,X2))),f7(f7(f3(X2,X1),f3(X2,X1)),f7(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_66,i_0_36,i_0_26]) ).
cnf(i_0_81,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_82,plain,
p2(f3(f7(f3(X1,X2),f3(X1,X2)),f7(f3(X1,X2),f3(X1,X2))),f3(f7(f3(X2,X1),f3(X2,X1)),f7(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_66,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_83,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_84,plain,
p2(f9(X1,X2,f7(f3(X3,X4),f3(X3,X4))),f9(X1,X2,f7(f3(X4,X3),f3(X4,X3)))),
inference(scs_inference,[],[i_0_66,i_0_43,i_0_41,i_0_36,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_85,plain,
( ~ p8(X1,X2)
| ~ p2(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X1,X3),f9(X6,X2,X4)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_86,plain,
( ~ p11(X1,f10(c16))
| ~ p2(X1,f10(c15)) ),
inference(scs_inference,[],[i_0_66,i_0_44,i_0_43,i_0_41,i_0_42,i_0_36,i_0_26,i_0_27,i_0_25,i_0_28]) ).
cnf(i_0_87,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_88,plain,
( p11(X1,X2)
| ~ p2(X3,X2)
| ~ p2(X4,X1)
| ~ p11(X4,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_90,plain,
p2(f10(f3(f3(X1,X2),f3(X1,X2))),f10(f3(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_68,i_0_36]) ).
cnf(i_0_91,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_92,plain,
p2(f7(f3(f3(X1,X2),f3(X1,X2)),f3(f3(X1,X2),f3(X1,X2))),f7(f3(f3(X2,X1),f3(X2,X1)),f3(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_68,i_0_36,i_0_26]) ).
cnf(i_0_93,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_94,plain,
p2(f3(f3(f3(X1,X2),f3(X1,X2)),f3(f3(X1,X2),f3(X1,X2))),f3(f3(f3(X2,X1),f3(X2,X1)),f3(f3(X2,X1),f3(X2,X1)))),
inference(scs_inference,[],[i_0_68,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_95,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_96,plain,
p2(f9(X1,X2,f3(f3(X3,X4),f3(X3,X4))),f9(X1,X2,f3(f3(X4,X3),f3(X4,X3)))),
inference(scs_inference,[],[i_0_68,i_0_43,i_0_41,i_0_36,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_97,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_98,plain,
( ~ p11(f10(c16),f10(c16))
| p12(f7(f9(c13,c14,f3(c16,c16)),f3(c16,c16)),f6(c13)) ),
inference(scs_inference,[],[i_0_68,i_0_43,i_0_41,i_0_38,i_0_36,i_0_26,i_0_27,i_0_25,i_0_23]) ).
cnf(i_0_99,plain,
( ~ p12(X1,f6(X2))
| ~ p11(f10(X3),f10(X1))
| ~ p12(X3,f6(X2))
| p12(f7(f9(X2,c14,f3(X3,X1)),f3(X3,X1)),f6(X2)) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_100,plain,
( ~ p12(f10(f7(f3(X1,X2),f3(X1,X2))),X3)
| p12(f10(f7(f3(X2,X1),f3(X2,X1))),X3)
| p12(f7(f9(c13,c14,f3(c16,c16)),f3(c16,c16)),f6(c13)) ),
inference(scs_inference,[],[i_0_78,i_0_68,i_0_40,i_0_43,i_0_41,i_0_38,i_0_36,i_0_26,i_0_27,i_0_25,i_0_23,i_0_37,i_0_29]) ).
cnf(i_0_101,plain,
p2(f10(f10(f3(X1,X2))),f10(f10(f3(X2,X1)))),
inference(scs_inference,[],[i_0_64,i_0_36]) ).
cnf(i_0_102,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_103,plain,
p2(f7(f10(f3(X1,X2)),f10(f3(X1,X2))),f7(f10(f3(X2,X1)),f10(f3(X2,X1)))),
inference(scs_inference,[],[i_0_64,i_0_36,i_0_26]) ).
cnf(i_0_104,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_105,plain,
p2(f3(f10(f3(X1,X2)),f10(f3(X1,X2))),f3(f10(f3(X2,X1)),f10(f3(X2,X1)))),
inference(scs_inference,[],[i_0_64,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_106,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_107,plain,
p2(f9(X1,X2,f10(f3(X3,X4))),f9(X1,X2,f10(f3(X4,X3)))),
inference(scs_inference,[],[i_0_64,i_0_43,i_0_41,i_0_36,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_108,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_109,plain,
( ~ p11(f10(f3(f3(X1,X2),f3(X1,X2))),X3)
| p11(f10(f3(f3(X2,X1),f3(X2,X1))),X3) ),
inference(scs_inference,[],[i_0_90,i_0_64,i_0_43,i_0_41,i_0_42,i_0_36,i_0_26,i_0_27,i_0_25,i_0_28]) ).
cnf(i_0_110,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_111,plain,
( ~ p11(f10(f3(f3(X1,X2),f3(X1,X2))),f10(c16))
| ~ p2(f10(f3(f3(X2,X1),f3(X2,X1))),f10(c15)) ),
inference(scs_inference,[],[i_0_90,i_0_64,i_0_43,i_0_41,i_0_42,i_0_36,i_0_26,i_0_27,i_0_25,i_0_28,i_0_86]) ).
cnf(i_0_112,plain,
( ~ p11(X1,f10(c16))
| ~ p2(X1,f10(c15)) ),
inference(rename_variables,[],[i_0_86]) ).
cnf(i_0_113,plain,
( ~ p11(f10(f3(f3(X1,X2),f3(X1,X2))),f10(c16))
| ~ p12(f3(f3(X2,X1),f3(X2,X1)),f6(c13))
| p12(f7(f9(c13,c14,f3(f3(f3(X2,X1),f3(X2,X1)),c16)),c16),f6(c13)) ),
inference(scs_inference,[],[i_0_90,i_0_64,i_0_43,i_0_41,i_0_42,i_0_38,i_0_36,i_0_26,i_0_27,i_0_25,i_0_28,i_0_86,i_0_24]) ).
cnf(i_0_114,plain,
p2(f10(f9(X1,X2,f3(X3,X4))),f10(f9(X1,X2,f3(X4,X3)))),
inference(scs_inference,[],[i_0_70,i_0_36]) ).
cnf(i_0_115,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_116,plain,
p2(f7(f9(X1,X2,f3(X3,X4)),f9(X1,X2,f3(X3,X4))),f7(f9(X1,X2,f3(X4,X3)),f9(X1,X2,f3(X4,X3)))),
inference(scs_inference,[],[i_0_70,i_0_36,i_0_26]) ).
cnf(i_0_117,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_118,plain,
p2(f3(f9(X1,X2,f3(X3,X4)),f9(X1,X2,f3(X3,X4))),f3(f9(X1,X2,f3(X4,X3)),f9(X1,X2,f3(X4,X3)))),
inference(scs_inference,[],[i_0_70,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_119,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_120,plain,
( ~ p11(f10(c15),f10(c15))
| p12(f7(f9(c13,c14,f3(c15,c15)),c15),f6(c13)) ),
inference(scs_inference,[],[i_0_70,i_0_39,i_0_36,i_0_26,i_0_27,i_0_24]) ).
cnf(i_0_121,plain,
( ~ p12(X1,f6(X2))
| ~ p12(X3,f6(X2))
| ~ p11(f10(X1),f10(X3))
| p12(f7(f9(X2,c14,f3(X1,X3)),X3),f6(X2)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_123,plain,
( ~ p11(f10(c16),f10(c16))
| p12(f7(f9(c13,c14,f3(c16,c16)),c16),f6(c13)) ),
inference(scs_inference,[],[i_0_38,i_0_24]) ).
cnf(i_0_124,plain,
( ~ p12(X1,f6(X2))
| ~ p11(f10(X3),f10(X1))
| ~ p12(X3,f6(X2))
| p12(f7(f9(X2,c14,f3(X3,X1)),X1),f6(X2)) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_125,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_127,plain,
( ~ p11(f10(c15),f10(c15))
| p12(f7(f9(c13,c14,f3(c15,c15)),f3(c15,c15)),f6(c13)) ),
inference(scs_inference,[],[i_0_39,i_0_23]) ).
cnf(i_0_128,plain,
( ~ p12(X1,f6(X2))
| ~ p11(f10(X1),f10(X3))
| ~ p12(X3,f6(X2))
| p12(f7(f9(X2,c14,f3(X1,X3)),f3(X1,X3)),f6(X2)) ),
inference(rename_variables,[],[i_0_23]) ).
cnf(i_0_130,plain,
( ~ p11(f10(c15),X1)
| ~ p2(X1,f10(c16)) ),
inference(scs_inference,[],[i_0_44,i_0_42,i_0_28]) ).
cnf(i_0_131,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_132,plain,
( ~ p2(X1,X2)
| p11(X2,X3)
| ~ p2(X4,X3)
| ~ p11(X1,X4) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_133,plain,
( ~ p11(f10(c15),f3(X1,X2))
| ~ p2(f3(X2,X1),f10(c16)) ),
inference(scs_inference,[],[i_0_44,i_0_42,i_0_28,i_0_74]) ).
cnf(i_0_134,plain,
( p11(X1,f3(X2,X3))
| ~ p11(X1,f3(X3,X2)) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_135,plain,
( p11(f3(X1,X2),f10(c15))
| ~ p2(f3(X1,X2),f10(c16)) ),
inference(scs_inference,[],[i_0_44,i_0_42,i_0_28,i_0_74,i_0_37]) ).
cnf(i_0_136,plain,
( p11(X1,X2)
| p11(X2,X1) ),
inference(rename_variables,[],[i_0_37]) ).
cnf(i_0_138,plain,
p2(f9(X1,X2,f9(X3,X4,f3(X5,X6))),f9(X1,X2,f9(X3,X4,f3(X6,X5)))),
inference(scs_inference,[],[i_0_70,i_0_43,i_0_41,i_0_25]) ).
cnf(i_0_139,plain,
( ~ p2(X1,X2)
| ~ p4(X3,X4)
| ~ p8(X5,X6)
| p2(f9(X3,X5,X1),f9(X4,X6,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_140,plain,
p2(f7(f3(X1,X2),X3),f7(f3(X2,X1),X3)),
inference(scs_inference,[],[i_0_30,i_0_42,i_0_26]) ).
cnf(i_0_141,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_142,plain,
p2(f3(f3(X1,X2),X3),f3(f3(X2,X1),X3)),
inference(scs_inference,[],[i_0_30,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_143,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_144,plain,
p2(f9(X1,X2,f7(f3(X3,X4),X5)),f9(X1,X2,f7(f3(X4,X3),X5))),
inference(scs_inference,[],[i_0_30,i_0_43,i_0_41,i_0_42,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_145,plain,
( ~ p2(X1,X2)
| ~ p4(X3,X4)
| ~ p8(X5,X6)
| p2(f9(X3,X5,X1),f9(X4,X6,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_146,plain,
p2(f10(f7(f3(X1,X2),X3)),f10(f7(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_30,i_0_43,i_0_41,i_0_42,i_0_26,i_0_27,i_0_25,i_0_36]) ).
cnf(i_0_147,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_148,plain,
p2(f10(f3(f3(X1,X2),X3)),f10(f3(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_142,i_0_36]) ).
cnf(i_0_149,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_150,plain,
p2(f7(f7(f3(X1,X2),X3),f7(f3(X1,X2),X3)),f7(f7(f3(X2,X1),X3),f7(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_140,i_0_142,i_0_36,i_0_26]) ).
cnf(i_0_151,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_152,plain,
p2(f3(f7(f3(X1,X2),X3),f7(f3(X1,X2),X3)),f3(f7(f3(X2,X1),X3),f7(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_140,i_0_142,i_0_36,i_0_26,i_0_27]) ).
cnf(i_0_153,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_154,plain,
p2(f7(f3(f3(X1,X2),X3),f3(f3(X1,X2),X3)),f7(f3(f3(X2,X1),X3),f3(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_142,i_0_26]) ).
cnf(i_0_155,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_156,plain,
p2(f3(f3(f3(X1,X2),X3),f3(f3(X1,X2),X3)),f3(f3(f3(X2,X1),X3),f3(f3(X2,X1),X3))),
inference(scs_inference,[],[i_0_142,i_0_26,i_0_27]) ).
cnf(i_0_157,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_158,plain,
p2(f7(X1,f3(X2,X3)),f7(X1,f3(X3,X2))),
inference(scs_inference,[],[i_0_30,i_0_42,i_0_26]) ).
cnf(i_0_159,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_160,plain,
p2(f3(X1,f3(X2,X3)),f3(X1,f3(X3,X2))),
inference(scs_inference,[],[i_0_30,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_161,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_162,plain,
p2(f10(f7(X1,f3(X2,X3))),f10(f7(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_158,i_0_36]) ).
cnf(i_0_163,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_164,plain,
~ p2(f7(f9(c13,c14,f3(c15,c16)),f3(c16,c15)),c16),
inference(scs_inference,[],[i_0_51,i_0_158,i_0_36,i_0_33]) ).
cnf(i_0_165,plain,
p2(f7(X1,f3(X2,X3)),f7(X1,f3(X3,X2))),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_166,plain,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_167,plain,
p2(f7(f7(X1,f3(X2,X3)),f7(X1,f3(X2,X3))),f7(f7(X1,f3(X3,X2)),f7(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_51,i_0_158,i_0_165,i_0_36,i_0_33,i_0_26]) ).
cnf(i_0_168,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_169,plain,
p2(f3(f7(X1,f3(X2,X3)),f7(X1,f3(X2,X3))),f3(f7(X1,f3(X3,X2)),f7(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_51,i_0_158,i_0_165,i_0_36,i_0_33,i_0_26,i_0_27]) ).
cnf(i_0_170,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_171,plain,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c16,c15)),f6(c13)),
inference(scs_inference,[],[i_0_51,i_0_158,i_0_165,i_0_22,i_0_40,i_0_36,i_0_33,i_0_26,i_0_27,i_0_29]) ).
cnf(i_0_172,plain,
p2(f7(X1,f3(X2,X3)),f7(X1,f3(X3,X2))),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_173,plain,
p5(X1,X1),
inference(rename_variables,[],[i_0_40]) ).
cnf(i_0_174,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_175,plain,
p2(f10(f3(X1,f3(X2,X3))),f10(f3(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_160,i_0_36]) ).
cnf(i_0_176,plain,
( ~ p2(X1,X2)
| p2(f10(X1),f10(X2)) ),
inference(rename_variables,[],[i_0_36]) ).
cnf(i_0_177,plain,
~ p2(f7(f9(c13,c14,f3(c15,c16)),f3(c16,c15)),c15),
inference(scs_inference,[],[i_0_61,i_0_160,i_0_158,i_0_36,i_0_33]) ).
cnf(i_0_178,plain,
p2(f7(X1,f3(X2,X3)),f7(X1,f3(X3,X2))),
inference(rename_variables,[],[i_0_158]) ).
cnf(i_0_179,plain,
( ~ p2(X1,X2)
| p2(X2,X3)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_180,plain,
p2(f7(f3(X1,f3(X2,X3)),f3(X1,f3(X2,X3))),f7(f3(X1,f3(X3,X2)),f3(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_61,i_0_160,i_0_158,i_0_36,i_0_33,i_0_26]) ).
cnf(i_0_181,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_182,plain,
p2(f3(f3(X1,f3(X2,X3)),f3(X1,f3(X2,X3))),f3(f3(X1,f3(X3,X2)),f3(X1,f3(X3,X2)))),
inference(scs_inference,[],[i_0_61,i_0_160,i_0_158,i_0_36,i_0_33,i_0_26,i_0_27]) ).
cnf(i_0_183,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_184,plain,
p2(f9(X1,X2,f3(X3,f3(X4,X5))),f9(X1,X2,f3(X3,f3(X5,X4)))),
inference(scs_inference,[],[i_0_61,i_0_160,i_0_158,i_0_43,i_0_41,i_0_36,i_0_33,i_0_26,i_0_27,i_0_25]) ).
cnf(i_0_185,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_186,plain,
( ~ p12(f10(f3(X1,f3(X2,X3))),X4)
| p12(f10(f3(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_175,i_0_40,i_0_29]) ).
cnf(i_0_187,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_188,plain,
p2(f9(X1,X2,f7(X3,f3(X4,X5))),f9(X1,X2,f7(X3,f3(X5,X4)))),
inference(scs_inference,[],[i_0_158,i_0_43,i_0_41,i_0_25]) ).
cnf(i_0_189,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_190,plain,
( ~ p12(f9(X1,X2,f7(X3,f3(X4,X5))),X6)
| p12(f9(X1,X2,f7(X3,f3(X5,X4))),X6) ),
inference(scs_inference,[],[i_0_188,i_0_40,i_0_29]) ).
cnf(i_0_191,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_192,plain,
p2(X1,X1),
inference(rename_variables,[],[i_0_42]) ).
cnf(i_0_194,plain,
( ~ p11(f9(X1,X2,f3(X3,f3(X4,X5))),X6)
| p11(f9(X1,X2,f3(X3,f3(X5,X4))),X6) ),
inference(scs_inference,[],[i_0_184,i_0_42,i_0_28]) ).
cnf(i_0_195,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X4,X2)
| ~ p11(X3,X1) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_196,plain,
( p11(f9(X1,X2,f3(X3,f3(X4,X5))),f3(X6,X7))
| ~ p11(f9(X1,X2,f3(X3,f3(X5,X4))),f3(X7,X6)) ),
inference(scs_inference,[],[i_0_184,i_0_42,i_0_28,i_0_74]) ).
cnf(i_0_197,plain,
( ~ p11(X1,f3(X2,X3))
| p11(X1,f3(X3,X2)) ),
inference(rename_variables,[],[i_0_74]) ).
cnf(i_0_199,plain,
p2(f9(X1,X2,f3(f3(X3,X4),X5)),f9(X1,X2,f3(f3(X4,X3),X5))),
inference(scs_inference,[],[i_0_142,i_0_43,i_0_41,i_0_25]) ).
cnf(i_0_200,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_201,plain,
( ~ p11(X1,f9(X2,X3,f3(f3(X4,X5),X6)))
| p11(X1,f9(X2,X3,f3(f3(X5,X4),X6))) ),
inference(scs_inference,[],[i_0_199,i_0_42,i_0_28]) ).
cnf(i_0_202,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_203,plain,
( p11(f9(X1,X2,f3(X3,f3(X4,X5))),f9(X6,X7,f3(f3(X8,X9),X10)))
| ~ p11(f9(X1,X2,f3(X3,f3(X5,X4))),f9(X6,X7,f3(f3(X9,X8),X10))) ),
inference(scs_inference,[],[i_0_199,i_0_42,i_0_28,i_0_194]) ).
cnf(i_0_204,plain,
( ~ p11(f9(X1,X2,f3(X3,f3(X4,X5))),X6)
| p11(f9(X1,X2,f3(X3,f3(X5,X4))),X6) ),
inference(rename_variables,[],[i_0_194]) ).
cnf(i_0_206,plain,
( ~ p12(f7(f3(X1,f3(X2,X3)),f3(X1,f3(X2,X3))),X4)
| p12(f7(f3(X1,f3(X3,X2)),f3(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_180,i_0_40,i_0_29]) ).
cnf(i_0_207,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_208,plain,
( ~ p11(X1,f3(f3(X2,f3(X3,X4)),f3(X2,f3(X3,X4))))
| p11(X1,f3(f3(X2,f3(X4,X3)),f3(X2,f3(X4,X3)))) ),
inference(scs_inference,[],[i_0_182,i_0_42,i_0_28]) ).
cnf(i_0_209,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_210,plain,
( ~ p12(f10(f7(X1,f3(X2,X3))),X4)
| p12(f10(f7(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_40,i_0_162,i_0_29]) ).
cnf(i_0_211,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_212,plain,
( ~ p11(X1,f7(f7(X2,f3(X3,X4)),f7(X2,f3(X3,X4))))
| p11(X1,f7(f7(X2,f3(X4,X3)),f7(X2,f3(X4,X3)))) ),
inference(scs_inference,[],[i_0_167,i_0_42,i_0_28]) ).
cnf(i_0_213,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_214,plain,
( ~ p12(f3(f7(X1,f3(X2,X3)),f7(X1,f3(X2,X3))),X4)
| p12(f3(f7(X1,f3(X3,X2)),f7(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_40,i_0_169,i_0_29]) ).
cnf(i_0_215,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_216,plain,
( ~ p11(X1,f7(f3(f3(X2,X3),X4),f3(f3(X2,X3),X4)))
| p11(X1,f7(f3(f3(X3,X2),X4),f3(f3(X3,X2),X4))) ),
inference(scs_inference,[],[i_0_154,i_0_42,i_0_28]) ).
cnf(i_0_217,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_218,plain,
( ~ p12(f3(f3(f3(X1,X2),X3),f3(f3(X1,X2),X3)),X4)
| p12(f3(f3(f3(X2,X1),X3),f3(f3(X2,X1),X3)),X4) ),
inference(scs_inference,[],[i_0_156,i_0_40,i_0_29]) ).
cnf(i_0_219,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_220,plain,
( ~ p11(X1,f10(f3(f3(X2,X3),X4)))
| p11(X1,f10(f3(f3(X3,X2),X4))) ),
inference(scs_inference,[],[i_0_148,i_0_42,i_0_28]) ).
cnf(i_0_221,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_222,plain,
( ~ p12(f7(f7(f3(X1,X2),X3),f7(f3(X1,X2),X3)),X4)
| p12(f7(f7(f3(X2,X1),X3),f7(f3(X2,X1),X3)),X4) ),
inference(scs_inference,[],[i_0_150,i_0_40,i_0_29]) ).
cnf(i_0_223,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_224,plain,
( ~ p12(f3(f7(f3(X1,X2),X3),f7(f3(X1,X2),X3)),X4)
| p12(f3(f7(f3(X2,X1),X3),f7(f3(X2,X1),X3)),X4) ),
inference(scs_inference,[],[i_0_152,i_0_40,i_0_29]) ).
cnf(i_0_225,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_226,plain,
( ~ p11(X1,f9(X2,X3,f7(f3(X4,X5),X6)))
| p11(X1,f9(X2,X3,f7(f3(X5,X4),X6))) ),
inference(scs_inference,[],[i_0_144,i_0_42,i_0_28]) ).
cnf(i_0_227,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_228,plain,
( ~ p12(f10(f7(f3(X1,X2),X3)),X4)
| p12(f10(f7(f3(X2,X1),X3)),X4) ),
inference(scs_inference,[],[i_0_146,i_0_40,i_0_29]) ).
cnf(i_0_229,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_230,plain,
( ~ p11(X1,f9(X2,X3,f9(X4,X5,f3(X6,X7))))
| p11(X1,f9(X2,X3,f9(X4,X5,f3(X7,X6)))) ),
inference(scs_inference,[],[i_0_138,i_0_42,i_0_28]) ).
cnf(i_0_231,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_232,plain,
( ~ p12(f10(f9(X1,X2,f3(X3,X4))),X5)
| p12(f10(f9(X1,X2,f3(X4,X3))),X5) ),
inference(scs_inference,[],[i_0_114,i_0_40,i_0_29]) ).
cnf(i_0_233,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_234,plain,
( ~ p11(X1,f7(f10(f3(X2,X3)),f10(f3(X2,X3))))
| p11(X1,f7(f10(f3(X3,X2)),f10(f3(X3,X2)))) ),
inference(scs_inference,[],[i_0_103,i_0_42,i_0_28]) ).
cnf(i_0_235,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_236,plain,
( ~ p12(f3(f10(f3(X1,X2)),f10(f3(X1,X2))),X3)
| p12(f3(f10(f3(X2,X1)),f10(f3(X2,X1))),X3) ),
inference(scs_inference,[],[i_0_105,i_0_40,i_0_29]) ).
cnf(i_0_237,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_238,plain,
( ~ p11(X1,f7(f9(X2,X3,f3(X4,X5)),f9(X2,X3,f3(X4,X5))))
| p11(X1,f7(f9(X2,X3,f3(X5,X4)),f9(X2,X3,f3(X5,X4)))) ),
inference(scs_inference,[],[i_0_116,i_0_42,i_0_28]) ).
cnf(i_0_239,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_240,plain,
( ~ p12(f3(f9(X1,X2,f3(X3,X4)),f9(X1,X2,f3(X3,X4))),X5)
| p12(f3(f9(X1,X2,f3(X4,X3)),f9(X1,X2,f3(X4,X3))),X5) ),
inference(scs_inference,[],[i_0_118,i_0_40,i_0_29]) ).
cnf(i_0_241,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_242,plain,
( ~ p11(X1,f9(X2,X3,f7(f3(X4,X5),f3(X4,X5))))
| p11(X1,f9(X2,X3,f7(f3(X5,X4),f3(X5,X4)))) ),
inference(scs_inference,[],[i_0_84,i_0_42,i_0_28]) ).
cnf(i_0_243,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_244,plain,
( ~ p12(f9(X1,X2,f3(f3(X3,X4),f3(X3,X4))),X5)
| p12(f9(X1,X2,f3(f3(X4,X3),f3(X4,X3))),X5) ),
inference(scs_inference,[],[i_0_96,i_0_40,i_0_29]) ).
cnf(i_0_245,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_246,plain,
( ~ p11(X1,f7(f7(f3(X2,X3),f3(X2,X3)),f7(f3(X2,X3),f3(X2,X3))))
| p11(X1,f7(f7(f3(X3,X2),f3(X3,X2)),f7(f3(X3,X2),f3(X3,X2)))) ),
inference(scs_inference,[],[i_0_80,i_0_42,i_0_28]) ).
cnf(i_0_247,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_248,plain,
( ~ p12(f3(f7(f3(X1,X2),f3(X1,X2)),f7(f3(X1,X2),f3(X1,X2))),X3)
| p12(f3(f7(f3(X2,X1),f3(X2,X1)),f7(f3(X2,X1),f3(X2,X1))),X3) ),
inference(scs_inference,[],[i_0_82,i_0_40,i_0_29]) ).
cnf(i_0_249,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_250,plain,
( ~ p11(X1,f7(f3(f3(X2,X3),f3(X2,X3)),f3(f3(X2,X3),f3(X2,X3))))
| p11(X1,f7(f3(f3(X3,X2),f3(X3,X2)),f3(f3(X3,X2),f3(X3,X2)))) ),
inference(scs_inference,[],[i_0_92,i_0_42,i_0_28]) ).
cnf(i_0_251,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_252,plain,
( ~ p12(f3(f3(f3(X1,X2),f3(X1,X2)),f3(f3(X1,X2),f3(X1,X2))),X3)
| p12(f3(f3(f3(X2,X1),f3(X2,X1)),f3(f3(X2,X1),f3(X2,X1))),X3) ),
inference(scs_inference,[],[i_0_94,i_0_40,i_0_29]) ).
cnf(i_0_253,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_254,plain,
( ~ p12(f9(X1,X2,f3(f3(X3,X4),X5)),X6)
| p12(f9(X1,X2,f3(f3(X4,X3),X5)),X6) ),
inference(scs_inference,[],[i_0_199,i_0_40,i_0_29]) ).
cnf(i_0_255,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_256,plain,
( ~ p11(X1,f9(X2,X3,f7(X4,f3(X5,X6))))
| p11(X1,f9(X2,X3,f7(X4,f3(X6,X5)))) ),
inference(scs_inference,[],[i_0_188,i_0_42,i_0_28]) ).
cnf(i_0_257,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_258,plain,
( ~ p12(f9(X1,X2,f3(X3,f3(X4,X5))),X6)
| p12(f9(X1,X2,f3(X3,f3(X5,X4))),X6) ),
inference(scs_inference,[],[i_0_184,i_0_40,i_0_29]) ).
cnf(i_0_259,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_260,plain,
( ~ p11(X1,f7(f3(X2,f3(X3,X4)),f3(X2,f3(X3,X4))))
| p11(X1,f7(f3(X2,f3(X4,X3)),f3(X2,f3(X4,X3)))) ),
inference(scs_inference,[],[i_0_180,i_0_42,i_0_28]) ).
cnf(i_0_261,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_262,plain,
( ~ p12(f3(f3(X1,f3(X2,X3)),f3(X1,f3(X2,X3))),X4)
| p12(f3(f3(X1,f3(X3,X2)),f3(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_182,i_0_40,i_0_29]) ).
cnf(i_0_263,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_264,plain,
( ~ p11(X1,f10(f7(X2,f3(X3,X4))))
| p11(X1,f10(f7(X2,f3(X4,X3)))) ),
inference(scs_inference,[],[i_0_162,i_0_42,i_0_28]) ).
cnf(i_0_265,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_266,plain,
( ~ p12(f7(f7(X1,f3(X2,X3)),f7(X1,f3(X2,X3))),X4)
| p12(f7(f7(X1,f3(X3,X2)),f7(X1,f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_167,i_0_40,i_0_29]) ).
cnf(i_0_267,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_268,plain,
( ~ p11(X1,f3(f7(X2,f3(X3,X4)),f7(X2,f3(X3,X4))))
| p11(X1,f3(f7(X2,f3(X4,X3)),f7(X2,f3(X4,X3)))) ),
inference(scs_inference,[],[i_0_169,i_0_42,i_0_28]) ).
cnf(i_0_269,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_270,plain,
p2(f7(X1,f10(f3(X2,X3))),f7(X1,f10(f3(X3,X2)))),
inference(scs_inference,[],[i_0_64,i_0_42,i_0_26]) ).
cnf(i_0_271,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_272,plain,
p2(f3(X1,f10(f3(X2,X3))),f3(X1,f10(f3(X3,X2)))),
inference(scs_inference,[],[i_0_64,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_273,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_274,plain,
p2(f7(f10(f3(X1,X2)),X3),f7(f10(f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_64,i_0_42,i_0_26]) ).
cnf(i_0_275,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_276,plain,
p2(f3(f10(f3(X1,X2)),X3),f3(f10(f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_64,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_277,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_278,plain,
( ~ p12(f10(f3(X1,X2)),X3)
| p12(f10(f3(X2,X1)),X3) ),
inference(scs_inference,[],[i_0_64,i_0_40,i_0_29]) ).
cnf(i_0_279,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_280,plain,
( ~ p11(X1,f10(f3(X2,X3)))
| p11(X1,f10(f3(X3,X2))) ),
inference(scs_inference,[],[i_0_64,i_0_42,i_0_28]) ).
cnf(i_0_281,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_282,plain,
p2(f7(f7(f3(X1,X2),f3(X1,X2)),X3),f7(f7(f3(X2,X1),f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_66,i_0_42,i_0_26]) ).
cnf(i_0_283,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_284,plain,
p2(f3(f7(f3(X1,X2),f3(X1,X2)),X3),f3(f7(f3(X2,X1),f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_66,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_285,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_286,plain,
( ~ p12(f7(f3(X1,X2),f3(X1,X2)),X3)
| p12(f7(f3(X2,X1),f3(X2,X1)),X3) ),
inference(scs_inference,[],[i_0_66,i_0_40,i_0_42,i_0_26,i_0_27,i_0_29]) ).
cnf(i_0_287,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_288,plain,
p2(f7(X1,f7(f3(X2,X3),f3(X2,X3))),f7(X1,f7(f3(X3,X2),f3(X3,X2)))),
inference(scs_inference,[],[i_0_66,i_0_42,i_0_26]) ).
cnf(i_0_289,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_290,plain,
p2(f3(X1,f7(f3(X2,X3),f3(X2,X3))),f3(X1,f7(f3(X3,X2),f3(X3,X2)))),
inference(scs_inference,[],[i_0_66,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_291,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_292,plain,
( ~ p11(X1,f7(f3(X2,X3),f3(X2,X3)))
| p11(X1,f7(f3(X3,X2),f3(X3,X2))) ),
inference(scs_inference,[],[i_0_66,i_0_42,i_0_26,i_0_27,i_0_28]) ).
cnf(i_0_293,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_294,plain,
( ~ p12(f7(X1,f7(f3(X2,X3),f3(X2,X3))),X4)
| p12(f7(X1,f7(f3(X3,X2),f3(X3,X2))),X4) ),
inference(scs_inference,[],[i_0_288,i_0_40,i_0_29]) ).
cnf(i_0_295,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_296,plain,
p2(f7(X1,f3(f3(X2,X3),f3(X2,X3))),f7(X1,f3(f3(X3,X2),f3(X3,X2)))),
inference(scs_inference,[],[i_0_68,i_0_42,i_0_26]) ).
cnf(i_0_297,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_298,plain,
p2(f3(X1,f3(f3(X2,X3),f3(X2,X3))),f3(X1,f3(f3(X3,X2),f3(X3,X2)))),
inference(scs_inference,[],[i_0_68,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_299,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_300,plain,
( ~ p11(X1,f3(f3(X2,X3),f3(X2,X3)))
| p11(X1,f3(f3(X3,X2),f3(X3,X2))) ),
inference(scs_inference,[],[i_0_68,i_0_42,i_0_26,i_0_27,i_0_28]) ).
cnf(i_0_301,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p11(X2,X4)
| ~ p11(X1,X3) ),
inference(rename_variables,[],[i_0_28]) ).
cnf(i_0_302,plain,
p2(f7(f3(f3(X1,X2),f3(X1,X2)),X3),f7(f3(f3(X2,X1),f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_68,i_0_42,i_0_26]) ).
cnf(i_0_303,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_304,plain,
p2(f3(f3(f3(X1,X2),f3(X1,X2)),X3),f3(f3(f3(X2,X1),f3(X2,X1)),X3)),
inference(scs_inference,[],[i_0_68,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_305,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_306,plain,
( ~ p12(f3(f3(X1,X2),f3(X1,X2)),X3)
| p12(f3(f3(X2,X1),f3(X2,X1)),X3) ),
inference(scs_inference,[],[i_0_68,i_0_40,i_0_29]) ).
cnf(i_0_307,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_308,plain,
( ~ p12(f7(f3(f3(X1,X2),f3(X1,X2)),X3),X4)
| p12(f7(f3(f3(X2,X1),f3(X2,X1)),X3),X4) ),
inference(scs_inference,[],[i_0_302,i_0_40,i_0_29]) ).
cnf(i_0_309,plain,
( ~ p2(X1,X2)
| ~ p5(X3,X4)
| p12(X2,X4)
| ~ p12(X1,X3) ),
inference(rename_variables,[],[i_0_29]) ).
cnf(i_0_310,plain,
p2(f7(f9(X1,X2,f3(X3,X4)),X5),f7(f9(X1,X2,f3(X4,X3)),X5)),
inference(scs_inference,[],[i_0_70,i_0_42,i_0_26]) ).
cnf(i_0_311,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X3,X1),f7(X4,X2)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_312,plain,
p2(f3(f9(X1,X2,f3(X3,X4)),X5),f3(f9(X1,X2,f3(X4,X3)),X5)),
inference(scs_inference,[],[i_0_70,i_0_42,i_0_26,i_0_27]) ).
cnf(i_0_313,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X3,X1),f3(X4,X2)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_314,plain,
~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),c16),
inference(scs_inference,[],[i_0_70,i_0_164,i_0_42,i_0_26,i_0_27,i_0_33]) ).
cnf(i_0_315,plain,
( ~ p2(X1,X2)
| p2(X2,X3)
| ~ p2(X1,X3) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_316,plain,
p2(f9(X1,X2,f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15))),f9(X1,X2,f7(f9(c13,c14,f3(c15,c16)),f3(c16,c15)))),
inference(scs_inference,[],[i_0_70,i_0_164,i_0_43,i_0_41,i_0_42,i_0_26,i_0_27,i_0_33,i_0_25]) ).
cnf(i_0_317,plain,
( ~ p2(X1,X2)
| ~ p8(X3,X4)
| ~ p4(X5,X6)
| p2(f9(X5,X3,X1),f9(X6,X4,X2)) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_318,plain,
~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),c15),
inference(scs_inference,[],[i_0_177,i_0_310,i_0_33]) ).
cnf(i_0_319,plain,
p2(f7(f9(X1,X2,f3(X3,X4)),X5),f7(f9(X1,X2,f3(X4,X3)),X5)),
inference(rename_variables,[],[i_0_310]) ).
cnf(i_0_320,plain,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
inference(rename_variables,[],[i_0_33]) ).
cnf(i_0_321,plain,
p2(f7(X1,f9(X2,X3,f3(X4,X5))),f7(X1,f9(X2,X3,f3(X5,X4)))),
inference(scs_inference,[],[i_0_70,i_0_177,i_0_310,i_0_42,i_0_33,i_0_26]) ).
cnf(i_0_322,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f7(X1,X3),f7(X2,X4)) ),
inference(rename_variables,[],[i_0_26]) ).
cnf(i_0_323,plain,
p2(f3(X1,f9(X2,X3,f3(X4,X5))),f3(X1,f9(X2,X3,f3(X5,X4)))),
inference(scs_inference,[],[i_0_70,i_0_177,i_0_310,i_0_42,i_0_33,i_0_26,i_0_27]) ).
cnf(i_0_324,plain,
( ~ p2(X1,X2)
| ~ p2(X3,X4)
| p2(f3(X1,X3),f3(X2,X4)) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_325,plain,
$false,
inference(scs_inference,[],[i_0_70,i_0_76,i_0_171,i_0_177,i_0_310,i_0_319,i_0_40,i_0_42,i_0_33,i_0_26,i_0_27,i_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN576-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n006.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 : Tue May 5 08:39:46 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 57.57/30.68 % Version : CSE_E---1.7
% 57.57/30.68 % Problem : theBenchmark.p
% 57.57/30.68 % SZS status Unsatisfiable for theBenchmark.p
% 57.57/30.68 % SZS output start CNFRefutation
% See solution above
% 58.13/30.97 % Total time : 30.329s
%------------------------------------------------------------------------------