%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS008-1 : TPTP v9.2.1. Released v2.0.0.
% 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 : n016.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 04:36:08 PM UTC 2026
% Result : Satisfiable 1.48s 1.79s
% Output : Saturation 1.48s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_8,axiom,
( s2least(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_13,axiom,
( s1most(X1)
| s(X1,u3r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_28,axiom,
( equalish(X1,X2)
| ~ f(X3)
| ~ r(X3,X1)
| ~ r(X3,X2)
| ~ d(X1)
| ~ d(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_25,axiom,
( r2most(X1)
| r(X1,u5r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_29,axiom,
( equalish(X1,X2)
| ~ f(X3)
| ~ r(X3,X1)
| ~ r(X3,X2)
| ~ c(X1)
| ~ c(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_26,axiom,
( r2most(X1)
| r(X1,u5r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_12,axiom,
( s1most(X1)
| ~ equalish(u3r2(X1),u3r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_14,axiom,
( s1most(X1)
| s(X1,u3r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_20,axiom,
( e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(X2)
| ~ r(X1,X3)
| ~ d(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_54,axiom,
( f(X1)
| r(X1,u6r2(X1))
| r(X1,u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54) ).
cnf(clause_52,axiom,
( f(X1)
| r(X1,u6r2(X1))
| d(u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_52) ).
cnf(clause_49,axiom,
( f(X1)
| r(X1,u6r1(X1))
| r(X1,u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_49) ).
cnf(clause_47,axiom,
( f(X1)
| r(X1,u6r1(X1))
| d(u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_47) ).
cnf(clause_23,axiom,
( r2most(X1)
| ~ equalish(u5r3(X1),u5r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_27,axiom,
( r2most(X1)
| r(X1,u5r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_24,axiom,
( r2most(X1)
| ~ equalish(u5r3(X1),u5r2(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_4,axiom,
( c(X1)
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_22,axiom,
( r2most(X1)
| ~ equalish(u5r2(X1),u5r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_53,axiom,
( f(X1)
| r(X1,u6r2(X1))
| r(X1,u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_53) ).
cnf(clause_39,axiom,
( f(X1)
| c(u6r1(X1))
| r(X1,u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_39) ).
cnf(clause_37,axiom,
( f(X1)
| c(u6r1(X1))
| d(u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_37) ).
cnf(clause_10,axiom,
( d(X1)
| ~ s1most(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_21,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ r2most(X4)
| ~ r(X4,X1)
| ~ r(X4,X2)
| ~ r(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_43,axiom,
( f(X1)
| c(u6r2(X1))
| r(X1,u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_43) ).
cnf(clause_41,axiom,
( f(X1)
| c(u6r2(X1))
| d(u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_41) ).
cnf(clause_11,axiom,
( equalish(X1,X2)
| ~ s1most(X3)
| ~ s(X3,X1)
| ~ s(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_6,axiom,
( s(X1,u1r1(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_48,axiom,
( f(X1)
| r(X1,u6r1(X1))
| r(X1,u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_48) ).
cnf(clause_16,axiom,
( r(X1,u4r2(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_19,axiom,
( r2most(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_18,axiom,
( r(X1,u4r1(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_51,axiom,
( f(X1)
| r(X1,u6r2(X1))
| d(u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_51) ).
cnf(clause_46,axiom,
( f(X1)
| r(X1,u6r1(X1))
| d(u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_46) ).
cnf(clause_44,axiom,
( f(X1)
| c(u6r2(X1))
| r(X1,u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_44) ).
cnf(clause_38,axiom,
( f(X1)
| c(u6r1(X1))
| r(X1,u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_38) ).
cnf(clause_5,axiom,
( ~ s2least(X1)
| ~ equalish(u1r2(X1),u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_7,axiom,
( s(X1,u1r2(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_36,axiom,
( f(X1)
| c(u6r1(X1))
| d(u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
cnf(clause_33,axiom,
( f(X1)
| r(X1,u6r3(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
cnf(clause_34,axiom,
( f(X1)
| r(X1,u6r4(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_50,axiom,
( f(X1)
| r(X1,u6r2(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_50) ).
cnf(clause_3,axiom,
( s2least(X1)
| ~ c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_9,axiom,
( s1most(X1)
| ~ d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_42,axiom,
( f(X1)
| c(u6r2(X1))
| d(u6r4(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_42) ).
cnf(clause_31,axiom,
( f(X1)
| d(u6r3(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_32,axiom,
( f(X1)
| d(u6r4(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
cnf(clause_35,axiom,
( f(X1)
| c(u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
cnf(clause_40,axiom,
( f(X1)
| c(u6r2(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_40) ).
cnf(clause_15,axiom,
( d(u4r2(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_17,axiom,
( c(u4r1(X1))
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_45,axiom,
( f(X1)
| r(X1,u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_45) ).
cnf(clause_30,axiom,
( f(X1)
| ~ equalish(u6r2(X1),u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_2,negated_conjecture,
~ f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(c_0_54,axiom,
( s2least(X1)
| equalish(X2,X3)
| ~ s(X1,X2)
| ~ s(X1,X3) ),
clause_8,
[final] ).
cnf(c_0_55,axiom,
( s1most(X1)
| s(X1,u3r1(X1)) ),
clause_13,
[final] ).
cnf(c_0_56,axiom,
( equalish(X1,X2)
| ~ f(X3)
| ~ r(X3,X1)
| ~ r(X3,X2)
| ~ d(X1)
| ~ d(X2) ),
clause_28,
[final] ).
cnf(c_0_57,axiom,
( r2most(X1)
| r(X1,u5r1(X1)) ),
clause_25,
[final] ).
cnf(c_0_58,axiom,
( equalish(X1,X2)
| ~ f(X3)
| ~ r(X3,X1)
| ~ r(X3,X2)
| ~ c(X1)
| ~ c(X2) ),
clause_29,
[final] ).
cnf(c_0_59,axiom,
( r2most(X1)
| r(X1,u5r2(X1)) ),
clause_26,
[final] ).
cnf(c_0_60,axiom,
( s1most(X1)
| ~ equalish(u3r2(X1),u3r1(X1)) ),
clause_12,
[final] ).
cnf(c_0_61,plain,
( s1most(X1)
| equalish(X2,u3r1(X1))
| s2least(X1)
| ~ s(X1,X2) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,axiom,
( s1most(X1)
| s(X1,u3r2(X1)) ),
clause_14,
[final] ).
cnf(c_0_63,axiom,
( e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(X2)
| ~ r(X1,X3)
| ~ d(X3) ),
clause_20,
[final] ).
cnf(c_0_64,axiom,
( f(X1)
| r(X1,u6r2(X1))
| r(X1,u6r4(X1)) ),
clause_54,
[final] ).
cnf(c_0_65,axiom,
( f(X1)
| r(X1,u6r2(X1))
| d(u6r4(X1)) ),
clause_52,
[final] ).
cnf(c_0_66,axiom,
( f(X1)
| r(X1,u6r1(X1))
| r(X1,u6r4(X1)) ),
clause_49,
[final] ).
cnf(c_0_67,axiom,
( f(X1)
| r(X1,u6r1(X1))
| d(u6r4(X1)) ),
clause_47,
[final] ).
cnf(c_0_68,axiom,
( r2most(X1)
| ~ equalish(u5r3(X1),u5r1(X1)) ),
clause_23,
[final] ).
cnf(c_0_69,plain,
( r2most(X1)
| equalish(X2,u5r1(X1))
| ~ r(X1,X2)
| ~ d(u5r1(X1))
| ~ d(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_70,axiom,
( r2most(X1)
| r(X1,u5r3(X1)) ),
clause_27,
[final] ).
cnf(c_0_71,axiom,
( r2most(X1)
| ~ equalish(u5r3(X1),u5r2(X1)) ),
clause_24,
[final] ).
cnf(c_0_72,plain,
( r2most(X1)
| equalish(X2,u5r2(X1))
| ~ r(X1,X2)
| ~ c(u5r2(X1))
| ~ c(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_73,axiom,
( c(X1)
| ~ s2least(X1) ),
clause_4,
[final] ).
cnf(c_0_74,plain,
( s1most(X1)
| s2least(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),
[final] ).
cnf(c_0_75,axiom,
( r2most(X1)
| ~ equalish(u5r2(X1),u5r1(X1)) ),
clause_22,
[final] ).
cnf(c_0_76,plain,
( r2most(X1)
| equalish(X2,u5r1(X1))
| ~ r(X1,X2)
| ~ c(u5r1(X1))
| ~ c(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_57]) ).
cnf(c_0_77,plain,
( r(X1,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]),
[final] ).
cnf(c_0_78,axiom,
( f(X1)
| r(X1,u6r2(X1))
| r(X1,u6r3(X1)) ),
clause_53,
[final] ).
cnf(c_0_79,plain,
( r(X1,u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_66]) ).
cnf(c_0_80,axiom,
( f(X1)
| c(u6r1(X1))
| r(X1,u6r4(X1)) ),
clause_39,
[final] ).
cnf(c_0_81,plain,
( d(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_67]) ).
cnf(c_0_82,axiom,
( f(X1)
| c(u6r1(X1))
| d(u6r4(X1)) ),
clause_37,
[final] ).
cnf(c_0_83,plain,
( r2most(X1)
| ~ d(u5r1(X1))
| ~ d(u5r3(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).
cnf(c_0_84,axiom,
( d(X1)
| ~ s1most(X1) ),
clause_10,
[final] ).
cnf(c_0_85,plain,
( r2most(X1)
| ~ c(u5r2(X1))
| ~ c(u5r3(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_70]) ).
cnf(c_0_86,plain,
( s1most(X1)
| c(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]),
[final] ).
cnf(c_0_87,plain,
( r2most(X1)
| ~ c(u5r1(X1))
| ~ c(u5r2(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_59]) ).
cnf(c_0_88,axiom,
( equalish(X1,X2)
| equalish(X1,X3)
| equalish(X2,X3)
| ~ r2most(X4)
| ~ r(X4,X1)
| ~ r(X4,X2)
| ~ r(X4,X3) ),
clause_21,
[final] ).
cnf(c_0_89,plain,
( r(X1,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_64]),
[final] ).
cnf(c_0_90,plain,
( r(X1,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r3(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]),
[final] ).
cnf(c_0_91,plain,
( r(X1,u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_66]),c_0_80]),
[final] ).
cnf(c_0_92,plain,
( d(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_67]),c_0_82]),
[final] ).
cnf(c_0_93,axiom,
( f(X1)
| c(u6r2(X1))
| r(X1,u6r3(X1)) ),
clause_43,
[final] ).
cnf(c_0_94,axiom,
( f(X1)
| c(u6r2(X1))
| d(u6r3(X1)) ),
clause_41,
[final] ).
cnf(c_0_95,plain,
( r2most(X1)
| equalish(X2,u5r2(X1))
| ~ r(X1,X2)
| ~ d(u5r2(X1))
| ~ d(X2)
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_59]) ).
cnf(c_0_96,plain,
( r2most(X1)
| ~ d(u5r1(X1))
| ~ s1most(u5r3(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_97,plain,
( r2most(X1)
| s1most(u5r3(X1))
| ~ c(u5r2(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_98,plain,
( r2most(X1)
| s1most(u5r1(X1))
| ~ c(u5r2(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_99,axiom,
( equalish(X1,X2)
| ~ s1most(X3)
| ~ s(X3,X1)
| ~ s(X3,X2) ),
clause_11,
[final] ).
cnf(c_0_100,axiom,
( s(X1,u1r1(X1))
| ~ s2least(X1) ),
clause_6,
[final] ).
cnf(c_0_101,plain,
( equalish(X1,u6r2(X2))
| equalish(X3,u6r2(X2))
| equalish(X1,X3)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ c(u6r4(X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]),
[final] ).
cnf(c_0_102,plain,
( equalish(X1,u6r2(X2))
| equalish(X3,u6r2(X2))
| equalish(X1,X3)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ c(u6r3(X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_90]),
[final] ).
cnf(c_0_103,axiom,
( f(X1)
| r(X1,u6r1(X1))
| r(X1,u6r3(X1)) ),
clause_48,
[final] ).
cnf(c_0_104,axiom,
( r(X1,u4r2(X1))
| ~ e(X1) ),
clause_16,
[final] ).
cnf(c_0_105,axiom,
( r2most(X1)
| ~ e(X1) ),
clause_19,
[final] ).
cnf(c_0_106,axiom,
( r(X1,u4r1(X1))
| ~ e(X1) ),
clause_18,
[final] ).
cnf(c_0_107,axiom,
( f(X1)
| r(X1,u6r2(X1))
| d(u6r3(X1)) ),
clause_51,
[final] ).
cnf(c_0_108,axiom,
( f(X1)
| r(X1,u6r1(X1))
| d(u6r3(X1)) ),
clause_46,
[final] ).
cnf(c_0_109,axiom,
( f(X1)
| c(u6r2(X1))
| r(X1,u6r4(X1)) ),
clause_44,
[final] ).
cnf(c_0_110,axiom,
( f(X1)
| c(u6r1(X1))
| r(X1,u6r3(X1)) ),
clause_38,
[final] ).
cnf(c_0_111,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1))
| ~ c(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_91]),c_0_92]),
[final] ).
cnf(c_0_112,plain,
( c(u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_93]),c_0_94]),
[final] ).
cnf(c_0_113,plain,
( r2most(X1)
| ~ d(u5r2(X1))
| ~ d(u5r3(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_95]),c_0_70]) ).
cnf(c_0_114,plain,
( r2most(X1)
| ~ s1most(u5r3(X1))
| ~ s1most(u5r1(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_96,c_0_84]) ).
cnf(c_0_115,plain,
( r2most(X1)
| s1most(u5r2(X1))
| s1most(u5r3(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_86]) ).
cnf(c_0_116,plain,
( r2most(X1)
| s1most(u5r2(X1))
| s1most(u5r1(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_98,c_0_86]) ).
cnf(c_0_117,plain,
( r2most(X1)
| ~ c(u5r1(X1))
| ~ c(u5r3(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_76]),c_0_70]) ).
cnf(c_0_118,plain,
( r2most(X1)
| ~ d(u5r1(X1))
| ~ d(u5r2(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_69]),c_0_59]) ).
cnf(c_0_119,axiom,
( ~ s2least(X1)
| ~ equalish(u1r2(X1),u1r1(X1)) ),
clause_5,
[final] ).
cnf(c_0_120,plain,
( equalish(X1,u1r1(X2))
| ~ s1most(X2)
| ~ s(X2,X1)
| ~ s2least(X2) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_121,axiom,
( s(X1,u1r2(X1))
| ~ s2least(X1) ),
clause_7,
[final] ).
cnf(c_0_122,axiom,
( f(X1)
| c(u6r1(X1))
| d(u6r3(X1)) ),
clause_36,
[final] ).
cnf(c_0_123,plain,
( s1most(u6r4(X1))
| equalish(X2,u6r2(X1))
| equalish(X3,u6r2(X1))
| equalish(X3,X2)
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ r(X1,X3) ),
inference(spm,[status(thm)],[c_0_101,c_0_86]),
[final] ).
cnf(c_0_124,plain,
( s1most(u6r3(X1))
| equalish(X2,u6r2(X1))
| equalish(X3,u6r2(X1))
| equalish(X3,X2)
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ r(X1,X3) ),
inference(spm,[status(thm)],[c_0_102,c_0_86]),
[final] ).
cnf(c_0_125,plain,
( r(X1,u6r3(X1))
| equalish(X2,u6r1(X1))
| equalish(X3,u6r1(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_103]),
[final] ).
cnf(c_0_126,axiom,
( f(X1)
| r(X1,u6r3(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
clause_33,
[final] ).
cnf(c_0_127,plain,
( r(X1,u6r4(X1))
| equalish(X2,u6r1(X1))
| equalish(X3,u6r1(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_66]),
[final] ).
cnf(c_0_128,axiom,
( f(X1)
| r(X1,u6r4(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
clause_34,
[final] ).
cnf(c_0_129,plain,
( r(X1,u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X3,u6r4(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_64]),
[final] ).
cnf(c_0_130,plain,
( r(X1,u6r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X3,u6r3(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_78]),
[final] ).
cnf(c_0_131,plain,
( equalish(X1,u4r2(X2))
| equalish(X3,u4r2(X2))
| equalish(X1,X3)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ e(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_132,plain,
( equalish(X1,u4r1(X2))
| equalish(X3,u4r1(X2))
| equalish(X1,X3)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ e(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_133,plain,
( d(u6r3(X1))
| equalish(X2,u6r2(X1))
| equalish(X3,u6r2(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_107]),
[final] ).
cnf(c_0_134,plain,
( d(u6r4(X1))
| equalish(X2,u6r2(X1))
| equalish(X3,u6r2(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_65]),
[final] ).
cnf(c_0_135,plain,
( d(u6r3(X1))
| equalish(X2,u6r1(X1))
| equalish(X3,u6r1(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_108]),
[final] ).
cnf(c_0_136,plain,
( d(u6r4(X1))
| equalish(X2,u6r1(X1))
| equalish(X3,u6r1(X1))
| equalish(X2,X3)
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X3)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_88,c_0_67]),
[final] ).
cnf(c_0_137,plain,
( equalish(X1,u6r4(X2))
| equalish(X3,u6r4(X2))
| equalish(X1,X3)
| c(u6r1(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_80]),
[final] ).
cnf(c_0_138,plain,
( equalish(X1,u6r4(X2))
| equalish(X3,u6r4(X2))
| equalish(X1,X3)
| c(u6r2(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_109]),
[final] ).
cnf(c_0_139,plain,
( equalish(X1,u6r3(X2))
| equalish(X3,u6r3(X2))
| equalish(X1,X3)
| c(u6r1(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_110]),
[final] ).
cnf(c_0_140,plain,
( equalish(X1,u6r3(X2))
| equalish(X3,u6r3(X2))
| equalish(X1,X3)
| c(u6r2(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_93]),
[final] ).
cnf(c_0_141,axiom,
( f(X1)
| r(X1,u6r2(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
clause_50,
[final] ).
cnf(c_0_142,plain,
( r(X1,u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_103]),c_0_110]),
[final] ).
cnf(c_0_143,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r2(X1))
| ~ c(u6r4(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_89]) ).
cnf(c_0_144,plain,
( c(u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_109]),
[final] ).
cnf(c_0_145,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r2(X1))
| ~ c(u6r3(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_90]) ).
cnf(c_0_146,plain,
( c(u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r3(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_93]),
[final] ).
cnf(c_0_147,plain,
( r2most(X1)
| ~ d(u5r2(X1))
| ~ s1most(u5r3(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_84]) ).
cnf(c_0_148,plain,
( r2most(X1)
| s1most(u5r2(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_149,plain,
( r2most(X1)
| s1most(u5r3(X1))
| ~ c(u5r1(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_86]) ).
cnf(c_0_150,plain,
( r2most(X1)
| ~ d(u5r2(X1))
| ~ s1most(u5r1(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_84]) ).
cnf(c_0_151,plain,
( d(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_108]) ).
cnf(c_0_152,plain,
( d(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r2(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_107]) ).
cnf(c_0_153,plain,
( d(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r2(X1))
| ~ c(X2) ),
inference(spm,[status(thm)],[c_0_63,c_0_65]) ).
cnf(c_0_154,plain,
( ~ s1most(X1)
| ~ s2least(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_120]),c_0_121]),
[final] ).
cnf(c_0_155,axiom,
( s2least(X1)
| ~ c(X1) ),
clause_3,
[final] ).
cnf(c_0_156,plain,
( c(u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_110]),c_0_122]),
[final] ).
cnf(c_0_157,axiom,
( s1most(X1)
| ~ d(X1) ),
clause_9,
[final] ).
cnf(c_0_158,axiom,
( f(X1)
| c(u6r2(X1))
| d(u6r4(X1)) ),
clause_42,
[final] ).
cnf(c_0_159,plain,
( r(X1,u6r2(X1))
| s1most(u6r4(X1))
| equalish(u6r3(X1),u6r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_78]),
[final] ).
cnf(c_0_160,plain,
( r(X1,u6r2(X1))
| s1most(u6r3(X1))
| equalish(u6r3(X1),u6r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_78]),
[final] ).
cnf(c_0_161,plain,
( r(X1,u6r3(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(u6r4(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_89]),c_0_126]),
[final] ).
cnf(c_0_162,plain,
( r(X1,u6r3(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(u6r3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_90]),c_0_126]),
[final] ).
cnf(c_0_163,plain,
( r(X1,u6r4(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(u6r4(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_89]),c_0_128]),
[final] ).
cnf(c_0_164,plain,
( r(X1,u6r4(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ c(u6r3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_90]),c_0_128]),
[final] ).
cnf(c_0_165,plain,
( r(X1,u6r3(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_166,plain,
( r(X1,u6r3(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_167,plain,
( r(X1,u6r4(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_168,plain,
( r(X1,u6r4(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_169,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r4(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_170,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u6r4(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r4(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_171,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r3(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_172,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r3(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_173,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_103]),
[final] ).
cnf(c_0_174,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_66]),
[final] ).
cnf(c_0_175,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_64]),
[final] ).
cnf(c_0_176,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_78]),
[final] ).
cnf(c_0_177,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_103]),
[final] ).
cnf(c_0_178,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_66]),
[final] ).
cnf(c_0_179,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_64]),
[final] ).
cnf(c_0_180,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_78]),
[final] ).
cnf(c_0_181,plain,
( equalish(u4r1(X1),u4r2(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u4r2(X1))
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_106]),
[final] ).
cnf(c_0_182,plain,
( equalish(u4r2(X1),u4r1(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u4r1(X1))
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_104]),
[final] ).
cnf(c_0_183,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_184,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_185,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_186,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_187,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_188,axiom,
( f(X1)
| d(u6r3(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
clause_31,
[final] ).
cnf(c_0_189,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_190,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_191,axiom,
( f(X1)
| d(u6r4(X1))
| ~ equalish(u6r2(X1),u6r1(X1)) ),
clause_32,
[final] ).
cnf(c_0_192,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_193,plain,
( equalish(u4r2(X1),u6r4(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_194,plain,
( equalish(u4r1(X1),u6r4(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_195,plain,
( equalish(u4r2(X1),u6r4(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_196,plain,
( equalish(u4r1(X1),u6r4(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_197,plain,
( equalish(u4r2(X1),u6r3(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_198,axiom,
( f(X1)
| c(u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
clause_35,
[final] ).
cnf(c_0_199,plain,
( equalish(u4r1(X1),u6r3(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_200,plain,
( equalish(u4r2(X1),u6r3(X1))
| equalish(X2,u4r2(X1))
| equalish(X2,u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_201,axiom,
( f(X1)
| c(u6r2(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
clause_40,
[final] ).
cnf(c_0_202,plain,
( equalish(u4r1(X1),u6r3(X1))
| equalish(X2,u4r1(X1))
| equalish(X2,u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_203,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_107]),
[final] ).
cnf(c_0_204,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_65]),
[final] ).
cnf(c_0_205,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_108]),
[final] ).
cnf(c_0_206,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_67]),
[final] ).
cnf(c_0_207,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_80]),
[final] ).
cnf(c_0_208,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_109]),
[final] ).
cnf(c_0_209,plain,
( equalish(u6r3(X1),u4r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_110]),
[final] ).
cnf(c_0_210,plain,
( equalish(u6r3(X1),u4r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_93]),
[final] ).
cnf(c_0_211,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_107]),
[final] ).
cnf(c_0_212,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_65]),
[final] ).
cnf(c_0_213,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_108]),
[final] ).
cnf(c_0_214,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u4r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_67]),
[final] ).
cnf(c_0_215,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_80]),
[final] ).
cnf(c_0_216,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_109]),
[final] ).
cnf(c_0_217,plain,
( equalish(u6r3(X1),u4r1(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_110]),
[final] ).
cnf(c_0_218,plain,
( equalish(u6r3(X1),u4r1(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_93]),
[final] ).
cnf(c_0_219,plain,
( s1most(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_89]),c_0_86]) ).
cnf(c_0_220,plain,
( s1most(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_90]),c_0_86]) ).
cnf(c_0_221,plain,
( r(X1,u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u6r3(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_222,plain,
( equalish(X1,u6r3(X2))
| equalish(X3,u6r3(X2))
| equalish(X1,X3)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ d(u6r1(X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_142]),
[final] ).
cnf(c_0_223,plain,
( equalish(X1,u6r4(X2))
| equalish(X3,u6r4(X2))
| equalish(X1,X3)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X3)
| ~ r(X2,X1)
| ~ d(u6r1(X2)) ),
inference(spm,[status(thm)],[c_0_88,c_0_91]),
[final] ).
cnf(c_0_224,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_133,c_0_107]) ).
cnf(c_0_225,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_125,c_0_103]) ).
cnf(c_0_226,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_134,c_0_65]) ).
cnf(c_0_227,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_127,c_0_66]) ).
cnf(c_0_228,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_135,c_0_108]) ).
cnf(c_0_229,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_136,c_0_67]) ).
cnf(c_0_230,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u6r4(X1))
| equalish(X2,u6r4(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_129,c_0_64]) ).
cnf(c_0_231,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r3(X1))
| equalish(X2,u6r3(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_130,c_0_78]) ).
cnf(c_0_232,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(X2,u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_137,c_0_80]) ).
cnf(c_0_233,plain,
( equalish(u4r2(X1),u4r2(X1))
| equalish(X2,u4r2(X1))
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_104]) ).
cnf(c_0_234,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(X2,u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_138,c_0_109]) ).
cnf(c_0_235,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(X2,u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_110]) ).
cnf(c_0_236,plain,
( equalish(u4r1(X1),u4r1(X1))
| equalish(X2,u4r1(X1))
| ~ r(X1,X2)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_106]) ).
cnf(c_0_237,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(X2,u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_140,c_0_93]) ).
cnf(c_0_238,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1))
| ~ c(u6r4(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_89]),c_0_144]),
[final] ).
cnf(c_0_239,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1))
| ~ c(u6r3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_90]),c_0_146]),
[final] ).
cnf(c_0_240,plain,
( r2most(X1)
| ~ s1most(u5r3(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_84]),c_0_148]) ).
cnf(c_0_241,plain,
( r2most(X1)
| s1most(u5r1(X1))
| s1most(u5r3(X1))
| ~ f(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_86]) ).
cnf(c_0_242,plain,
( r2most(X1)
| ~ s1most(u5r1(X1))
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_84]),c_0_148]) ).
cnf(c_0_243,plain,
( d(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_108]),c_0_122]),
[final] ).
cnf(c_0_244,plain,
( d(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_108]),c_0_122]),
[final] ).
cnf(c_0_245,plain,
( d(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_67]),c_0_82]),
[final] ).
cnf(c_0_246,plain,
( ~ s1most(X1)
| ~ c(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]),
[final] ).
cnf(c_0_247,plain,
( c(u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_156,c_0_80]),
[final] ).
cnf(c_0_248,plain,
( c(u6r1(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ c(u6r3(X1)) ),
inference(spm,[status(thm)],[c_0_156,c_0_110]),
[final] ).
cnf(c_0_249,axiom,
( d(u4r2(X1))
| ~ e(X1) ),
clause_15,
[final] ).
cnf(c_0_250,axiom,
( c(u4r1(X1))
| ~ e(X1) ),
clause_17,
[final] ).
cnf(c_0_251,plain,
( s1most(u6r3(X1))
| c(u6r2(X1))
| f(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_94]),
[final] ).
cnf(c_0_252,plain,
( s1most(u6r4(X1))
| c(u6r2(X1))
| f(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_158]),
[final] ).
cnf(c_0_253,plain,
( s1most(u6r3(X1))
| c(u6r1(X1))
| f(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_122]),
[final] ).
cnf(c_0_254,plain,
( s1most(u6r4(X1))
| c(u6r1(X1))
| f(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_82]),
[final] ).
cnf(c_0_255,plain,
( r(X1,u6r2(X1))
| s1most(u6r4(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(u6r3(X1),u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_256,plain,
( r(X1,u6r2(X1))
| s1most(u6r3(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(u6r3(X1),u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_257,plain,
( r(X1,u6r2(X1))
| s1most(u6r4(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_123,c_0_64]),
[final] ).
cnf(c_0_258,plain,
( r(X1,u6r2(X1))
| s1most(u6r3(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_124,c_0_64]),
[final] ).
cnf(c_0_259,plain,
( r(X1,u6r3(X1))
| s1most(u6r4(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_161,c_0_86]),
[final] ).
cnf(c_0_260,plain,
( r(X1,u6r3(X1))
| s1most(u6r3(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_162,c_0_86]),
[final] ).
cnf(c_0_261,plain,
( r(X1,u6r4(X1))
| s1most(u6r4(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_163,c_0_86]),
[final] ).
cnf(c_0_262,plain,
( r(X1,u6r4(X1))
| s1most(u6r3(X1))
| equalish(X2,u6r1(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(spm,[status(thm)],[c_0_164,c_0_86]),
[final] ).
cnf(c_0_263,plain,
( s1most(u6r4(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_91]),
[final] ).
cnf(c_0_264,plain,
( s1most(u6r4(X1))
| equalish(u6r3(X1),u6r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_142]),
[final] ).
cnf(c_0_265,plain,
( s1most(u6r3(X1))
| equalish(u6r4(X1),u6r2(X1))
| equalish(X2,u6r4(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_91]),
[final] ).
cnf(c_0_266,plain,
( s1most(u6r3(X1))
| equalish(u6r3(X1),u6r2(X1))
| equalish(X2,u6r3(X1))
| equalish(X2,u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ r(X1,X2)
| ~ d(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_142]),
[final] ).
cnf(c_0_267,plain,
( r(X1,u6r3(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_165,c_0_106]),
[final] ).
cnf(c_0_268,plain,
( r(X1,u6r3(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_104]),
[final] ).
cnf(c_0_269,plain,
( r(X1,u6r4(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_106]),
[final] ).
cnf(c_0_270,plain,
( r(X1,u6r4(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_168,c_0_104]),
[final] ).
cnf(c_0_271,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_106]),
[final] ).
cnf(c_0_272,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_169,c_0_78]),
[final] ).
cnf(c_0_273,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_104]),
[final] ).
cnf(c_0_274,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_78]),
[final] ).
cnf(c_0_275,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_171,c_0_106]),
[final] ).
cnf(c_0_276,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_277,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_104]),
[final] ).
cnf(c_0_278,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_279,plain,
( r(X1,u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_106]),
[final] ).
cnf(c_0_280,plain,
( r(X1,u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_106]),
[final] ).
cnf(c_0_281,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_106]),
[final] ).
cnf(c_0_282,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_106]),
[final] ).
cnf(c_0_283,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u6r3(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_284,plain,
( r(X1,u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_104]),
[final] ).
cnf(c_0_285,plain,
( r(X1,u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_104]),
[final] ).
cnf(c_0_286,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_104]),
[final] ).
cnf(c_0_287,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_104]),
[final] ).
cnf(c_0_288,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u6r3(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_64]),c_0_141]),
[final] ).
cnf(c_0_289,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_103]),
[final] ).
cnf(c_0_290,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_66]),
[final] ).
cnf(c_0_291,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_64]),
[final] ).
cnf(c_0_292,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_78]),
[final] ).
cnf(c_0_293,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_103]),
[final] ).
cnf(c_0_294,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_66]),
[final] ).
cnf(c_0_295,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_64]),
[final] ).
cnf(c_0_296,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_78]),
[final] ).
cnf(c_0_297,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_106]),
[final] ).
cnf(c_0_298,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r2(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_108]),
[final] ).
cnf(c_0_299,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_104]),
[final] ).
cnf(c_0_300,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_108]),
[final] ).
cnf(c_0_301,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_106]),
[final] ).
cnf(c_0_302,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r2(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_185,c_0_67]),
[final] ).
cnf(c_0_303,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_104]),
[final] ).
cnf(c_0_304,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_67]),
[final] ).
cnf(c_0_305,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_187,c_0_106]),
[final] ).
cnf(c_0_306,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_107]),c_0_188]),
[final] ).
cnf(c_0_307,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_104]),
[final] ).
cnf(c_0_308,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_107]),c_0_188]),
[final] ).
cnf(c_0_309,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_190,c_0_106]),
[final] ).
cnf(c_0_310,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u4r2(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_65]),c_0_191]),
[final] ).
cnf(c_0_311,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_192,c_0_104]),
[final] ).
cnf(c_0_312,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_65]),c_0_191]),
[final] ).
cnf(c_0_313,plain,
( equalish(u4r1(X1),u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_106]),
[final] ).
cnf(c_0_314,plain,
( equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_193,c_0_110]),
[final] ).
cnf(c_0_315,plain,
( equalish(u4r2(X1),u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_104]),
[final] ).
cnf(c_0_316,plain,
( equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_110]),
[final] ).
cnf(c_0_317,plain,
( equalish(u4r1(X1),u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_106]),
[final] ).
cnf(c_0_318,plain,
( equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_93]),
[final] ).
cnf(c_0_319,plain,
( equalish(u4r2(X1),u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_196,c_0_104]),
[final] ).
cnf(c_0_320,plain,
( equalish(u6r3(X1),u6r4(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_196,c_0_93]),
[final] ).
cnf(c_0_321,plain,
( equalish(u4r1(X1),u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_197,c_0_106]),
[final] ).
cnf(c_0_322,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_197,c_0_80]),c_0_198]),
[final] ).
cnf(c_0_323,plain,
( equalish(u4r2(X1),u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_199,c_0_104]),
[final] ).
cnf(c_0_324,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_80]),c_0_198]),
[final] ).
cnf(c_0_325,plain,
( equalish(u4r1(X1),u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_200,c_0_106]),
[final] ).
cnf(c_0_326,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_109]),c_0_201]),
[final] ).
cnf(c_0_327,plain,
( equalish(u4r2(X1),u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_202,c_0_104]),
[final] ).
cnf(c_0_328,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_202,c_0_109]),c_0_201]),
[final] ).
cnf(c_0_329,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(u6r2(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_106]),
[final] ).
cnf(c_0_330,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r2(X1))
| equalish(u6r2(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_106]),
[final] ).
cnf(c_0_331,plain,
( d(u6r3(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_106]),
[final] ).
cnf(c_0_332,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_107]),c_0_188]),
[final] ).
cnf(c_0_333,plain,
( d(u6r4(X1))
| equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_106]),
[final] ).
cnf(c_0_334,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_65]),c_0_191]),
[final] ).
cnf(c_0_335,plain,
( equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_207,c_0_106]),
[final] ).
cnf(c_0_336,plain,
( equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_106]),
[final] ).
cnf(c_0_337,plain,
( equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_106]),
[final] ).
cnf(c_0_338,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_80]),c_0_198]),
[final] ).
cnf(c_0_339,plain,
( equalish(u4r1(X1),u4r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_106]),
[final] ).
cnf(c_0_340,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_210,c_0_109]),c_0_201]),
[final] ).
cnf(c_0_341,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_104]),
[final] ).
cnf(c_0_342,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_104]),
[final] ).
cnf(c_0_343,plain,
( d(u6r3(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_104]),
[final] ).
cnf(c_0_344,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_107]),c_0_188]),
[final] ).
cnf(c_0_345,plain,
( d(u6r4(X1))
| equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_104]),
[final] ).
cnf(c_0_346,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_214,c_0_65]),c_0_191]),
[final] ).
cnf(c_0_347,plain,
( equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_104]),
[final] ).
cnf(c_0_348,plain,
( equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_104]),
[final] ).
cnf(c_0_349,plain,
( equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_104]),
[final] ).
cnf(c_0_350,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_80]),c_0_198]),
[final] ).
cnf(c_0_351,plain,
( equalish(u4r2(X1),u4r1(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_104]),
[final] ).
cnf(c_0_352,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_109]),c_0_201]),
[final] ).
cnf(c_0_353,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_107]),
[final] ).
cnf(c_0_354,plain,
( s1most(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_89]),c_0_86]),
[final] ).
cnf(c_0_355,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_65]),
[final] ).
cnf(c_0_356,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_108]),
[final] ).
cnf(c_0_357,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_67]),
[final] ).
cnf(c_0_358,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_80]),
[final] ).
cnf(c_0_359,plain,
( s1most(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| f(X1)
| e(X1)
| ~ r2most(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_90]),c_0_86]),
[final] ).
cnf(c_0_360,plain,
( equalish(u6r4(X1),u4r2(X1))
| equalish(u6r4(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_109]),
[final] ).
cnf(c_0_361,plain,
( equalish(u6r3(X1),u4r2(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_110]),
[final] ).
cnf(c_0_362,plain,
( equalish(u6r3(X1),u4r2(X1))
| equalish(u6r3(X1),u4r1(X1))
| equalish(u4r1(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_93]),
[final] ).
cnf(c_0_363,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_107]),
[final] ).
cnf(c_0_364,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u4r1(X1))
| equalish(u6r2(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_65]),
[final] ).
cnf(c_0_365,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_108]),
[final] ).
cnf(c_0_366,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_173,c_0_103]),
[final] ).
cnf(c_0_367,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_174,c_0_66]),
[final] ).
cnf(c_0_368,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_175,c_0_64]),
[final] ).
cnf(c_0_369,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_78]),
[final] ).
cnf(c_0_370,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_103]),
[final] ).
cnf(c_0_371,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_66]),
[final] ).
cnf(c_0_372,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_64]),
[final] ).
cnf(c_0_373,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_78]),
[final] ).
cnf(c_0_374,plain,
( r(X1,u6r2(X1))
| equalish(u4r2(X1),u6r3(X1))
| equalish(u4r2(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_104]),c_0_105]),
[final] ).
cnf(c_0_375,plain,
( r(X1,u6r2(X1))
| equalish(u4r1(X1),u6r3(X1))
| equalish(u4r1(X1),u6r4(X1))
| f(X1)
| ~ e(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_106]),c_0_105]),
[final] ).
cnf(c_0_376,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u4r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_67]),
[final] ).
cnf(c_0_377,plain,
( d(u6r3(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_107]),c_0_188]),
[final] ).
cnf(c_0_378,plain,
( d(u6r4(X1))
| equalish(X2,u6r2(X1))
| equalish(X2,u6r1(X1))
| f(X1)
| ~ r2most(X1)
| ~ r(X1,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_65]),c_0_191]),
[final] ).
cnf(c_0_379,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_107]),
[final] ).
cnf(c_0_380,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_65]),
[final] ).
cnf(c_0_381,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_205,c_0_108]),
[final] ).
cnf(c_0_382,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_206,c_0_67]),
[final] ).
cnf(c_0_383,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_207,c_0_80]),
[final] ).
cnf(c_0_384,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_208,c_0_109]),
[final] ).
cnf(c_0_385,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_209,c_0_110]),
[final] ).
cnf(c_0_386,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r2(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_210,c_0_93]),
[final] ).
cnf(c_0_387,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_211,c_0_107]),
[final] ).
cnf(c_0_388,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| equalish(u6r2(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_65]),
[final] ).
cnf(c_0_389,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_213,c_0_108]),
[final] ).
cnf(c_0_390,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| equalish(u6r1(X1),u4r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_214,c_0_67]),
[final] ).
cnf(c_0_391,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_80]),
[final] ).
cnf(c_0_392,plain,
( equalish(X1,u6r4(X2))
| equalish(X1,u6r3(X2))
| c(u6r1(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_80]),c_0_198]),
[final] ).
cnf(c_0_393,plain,
( equalish(u6r4(X1),u6r4(X1))
| equalish(u6r4(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_109]),
[final] ).
cnf(c_0_394,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_217,c_0_110]),
[final] ).
cnf(c_0_395,plain,
( equalish(X1,u6r4(X2))
| equalish(X1,u6r3(X2))
| c(u6r2(X2))
| f(X2)
| ~ r2most(X2)
| ~ r(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_109]),c_0_201]),
[final] ).
cnf(c_0_396,plain,
( equalish(u6r3(X1),u6r3(X1))
| equalish(u6r3(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_218,c_0_93]),
[final] ).
cnf(c_0_397,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_80]),
[final] ).
cnf(c_0_398,plain,
( equalish(X1,u6r3(X2))
| equalish(X3,u6r3(X2))
| equalish(X3,X1)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X1)
| ~ r(X2,X3)
| ~ s1most(u6r1(X2)) ),
inference(spm,[status(thm)],[c_0_222,c_0_84]),
[final] ).
cnf(c_0_399,plain,
( equalish(u6r4(X1),u4r1(X1))
| equalish(u6r4(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_109]),
[final] ).
cnf(c_0_400,plain,
( equalish(u6r3(X1),u4r1(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| c(u6r1(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_110]),
[final] ).
cnf(c_0_401,plain,
( equalish(X1,u6r4(X2))
| equalish(X3,u6r4(X2))
| equalish(X3,X1)
| f(X2)
| e(X2)
| ~ r2most(X2)
| ~ r(X2,X1)
| ~ r(X2,X3)
| ~ s1most(u6r1(X2)) ),
inference(spm,[status(thm)],[c_0_223,c_0_84]),
[final] ).
cnf(c_0_402,plain,
( equalish(u6r3(X1),u4r1(X1))
| equalish(u6r3(X1),u4r2(X1))
| equalish(u4r2(X1),u4r1(X1))
| c(u6r2(X1))
| f(X1)
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_182,c_0_93]),
[final] ).
cnf(c_0_403,plain,
( d(u6r3(X1))
| equalish(u6r2(X1),u6r2(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_224,c_0_107]),
[final] ).
cnf(c_0_404,plain,
( r(X1,u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_225,c_0_103]),
[final] ).
cnf(c_0_405,plain,
( d(u6r4(X1))
| equalish(u6r2(X1),u6r2(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_65]),
[final] ).
cnf(c_0_406,plain,
( r(X1,u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_66]),
[final] ).
cnf(c_0_407,plain,
( d(u6r3(X1))
| equalish(u6r1(X1),u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_228,c_0_108]),
[final] ).
cnf(c_0_408,plain,
( d(u6r4(X1))
| equalish(u6r1(X1),u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_229,c_0_67]),
[final] ).
cnf(c_0_409,plain,
( r(X1,u6r2(X1))
| equalish(u6r4(X1),u6r4(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_230,c_0_64]),
[final] ).
cnf(c_0_410,plain,
( r(X1,u6r2(X1))
| equalish(u6r3(X1),u6r3(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_231,c_0_78]),
[final] ).
cnf(c_0_411,plain,
( equalish(u6r4(X1),u6r4(X1))
| c(u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_232,c_0_80]),
[final] ).
cnf(c_0_412,plain,
( equalish(u4r2(X1),u4r2(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_104]),
[final] ).
cnf(c_0_413,plain,
( equalish(u6r4(X1),u6r4(X1))
| c(u6r2(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_234,c_0_109]),
[final] ).
cnf(c_0_414,plain,
( equalish(u6r3(X1),u6r3(X1))
| c(u6r1(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_235,c_0_110]),
[final] ).
cnf(c_0_415,plain,
( equalish(u4r1(X1),u4r1(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_236,c_0_106]),
[final] ).
cnf(c_0_416,plain,
( equalish(u6r3(X1),u6r3(X1))
| c(u6r2(X1))
| f(X1)
| ~ r2most(X1) ),
inference(spm,[status(thm)],[c_0_237,c_0_93]),
[final] ).
cnf(c_0_417,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1))
| ~ c(u6r3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_90]),c_0_146]),
[final] ).
cnf(c_0_418,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r1(X1))
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_111,c_0_91]),
[final] ).
cnf(c_0_419,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r2(X1))
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_238,c_0_84]),
[final] ).
cnf(c_0_420,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r2(X1))
| ~ c(u6r3(X1)) ),
inference(spm,[status(thm)],[c_0_239,c_0_84]),
[final] ).
cnf(c_0_421,plain,
( r2most(X1)
| ~ f(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_240,c_0_241]),c_0_242]),
[final] ).
cnf(c_0_422,plain,
( d(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_243,c_0_84]),
[final] ).
cnf(c_0_423,plain,
( s1most(u6r3(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1)) ),
inference(spm,[status(thm)],[c_0_157,c_0_244]),
[final] ).
cnf(c_0_424,plain,
( d(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_92,c_0_84]),
[final] ).
cnf(c_0_425,plain,
( s1most(u6r4(X1))
| f(X1)
| e(X1)
| ~ r2most(X1)
| ~ d(u6r2(X1)) ),
inference(spm,[status(thm)],[c_0_157,c_0_245]),
[final] ).
cnf(c_0_426,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r1(X1))
| ~ c(u6r4(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_247]),
[final] ).
cnf(c_0_427,plain,
( f(X1)
| e(X1)
| ~ r2most(X1)
| ~ s1most(u6r1(X1))
| ~ c(u6r3(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_248]),
[final] ).
cnf(c_0_428,plain,
( equalish(X1,u4r2(X2))
| ~ r(X2,X1)
| ~ d(X1)
| ~ f(X2)
| ~ e(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_104]),c_0_249]),
[final] ).
cnf(c_0_429,plain,
( equalish(X1,u4r1(X2))
| ~ r(X2,X1)
| ~ d(u4r1(X2))
| ~ d(X1)
| ~ f(X2)
| ~ e(X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_106]),
[final] ).
cnf(c_0_430,plain,
( equalish(X1,u4r2(X2))
| ~ r(X2,X1)
| ~ c(u4r2(X2))
| ~ c(X1)
| ~ f(X2)
| ~ e(X2) ),
inference(spm,[status(thm)],[c_0_58,c_0_104]),
[final] ).
cnf(c_0_431,plain,
( equalish(X1,u4r1(X2))
| ~ r(X2,X1)
| ~ c(X1)
| ~ f(X2)
| ~ e(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_106]),c_0_250]),
[final] ).
cnf(c_0_432,plain,
( s1most(u6r3(X1))
| f(X1)
| ~ s1most(u6r2(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_251]),
[final] ).
cnf(c_0_433,plain,
( s1most(u6r4(X1))
| f(X1)
| ~ s1most(u6r2(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_252]),
[final] ).
cnf(c_0_434,plain,
( s1most(u6r3(X1))
| f(X1)
| ~ s1most(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_253]),
[final] ).
cnf(c_0_435,plain,
( s1most(u6r4(X1))
| f(X1)
| ~ s1most(u6r1(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_254]),
[final] ).
cnf(c_0_436,plain,
( ~ s1most(u4r1(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_246,c_0_250]),
[final] ).
cnf(c_0_437,axiom,
( f(X1)
| r(X1,u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
clause_45,
[final] ).
cnf(c_0_438,axiom,
( f(X1)
| ~ equalish(u6r2(X1),u6r1(X1))
| ~ equalish(u6r4(X1),u6r3(X1)) ),
clause_30,
[final] ).
cnf(c_0_439,plain,
( s1most(u4r2(X1))
| ~ e(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_249]),
[final] ).
cnf(c_0_440,negated_conjecture,
~ f(exist),
clause_2,
[final] ).
cnf(c_0_441,negated_conjecture,
e(exist),
clause_1,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS008-1 : TPTP v9.2.1. Released v2.0.0.
% 0.12/0.13 % 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
% 0.17/0.34 % Computer : n016.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Mon May 4 20:34:21 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.48/1.79 % Version : CSE_E---1.7
% 1.48/1.79 % Problem : theBenchmark.p
% 1.48/1.79 % SZS status Satisfiable for theBenchmark.p
% 1.48/1.79 % SZS output start Saturation
% See solution above
% 1.48/1.79 % Total time : 1.373s
%------------------------------------------------------------------------------