TSTP Solution File: SYN067-1 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:13:23 EDT 2023
% Result : Timeout 417.46s 300.04s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 70
% Syntax : Number of formulae : 453 ( 19 unt; 0 def)
% Number of atoms : 2434 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 3039 (1058 ~;1964 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 20 ( 19 usr; 18 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 490 ( 0 sgn; 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_67,negated_conjecture,
( big_r(c2,c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_67) ).
cnf(clause_55,negated_conjecture,
( big_p(c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_55) ).
cnf(clause_66,negated_conjecture,
( big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_66) ).
cnf(clause_54,negated_conjecture,
( big_p(c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_54) ).
cnf(clause_79,negated_conjecture,
( big_r(c4,c3)
| ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_79) ).
cnf(clause_78,negated_conjecture,
( big_p(c3)
| ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_78) ).
cnf(clause_1,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_1) ).
cnf(clause_37,negated_conjecture,
( big_p(a)
| big_p(a)
| big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_37) ).
cnf(clause_2,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_3) ).
cnf(clause_7,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_7) ).
cnf(clause_8,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_8) ).
cnf(clause_9,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_9) ).
cnf(clause_13,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_13) ).
cnf(clause_14,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_14) ).
cnf(clause_15,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_15) ).
cnf(clause_22,negated_conjecture,
( big_p(f2(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_22) ).
cnf(clause_28,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_28) ).
cnf(clause_34,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_34) ).
cnf(clause_23,negated_conjecture,
( big_p(f2(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_23) ).
cnf(clause_29,negated_conjecture,
( big_r(X2,f1(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_29) ).
cnf(clause_35,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_35) ).
cnf(clause_24,negated_conjecture,
( big_p(f2(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_24) ).
cnf(clause_30,negated_conjecture,
( big_r(X2,f1(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_30) ).
cnf(clause_36,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_36) ).
cnf(clause_19,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_19) ).
cnf(clause_20,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_20) ).
cnf(clause_21,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_21) ).
cnf(clause_25,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_25) ).
cnf(clause_26,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_26) ).
cnf(clause_27,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_27) ).
cnf(clause_31,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_31) ).
cnf(clause_32,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_32) ).
cnf(clause_33,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_33) ).
cnf(clause_80,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_80) ).
cnf(clause_70,negated_conjecture,
( big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_70) ).
cnf(clause_71,negated_conjecture,
( big_r(c2,c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_71) ).
cnf(clause_84,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3)
| ~ big_p(X5)
| ~ big_r(c4,X6)
| ~ big_r(X6,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_84) ).
cnf(clause_56,negated_conjecture,
( big_p(c1)
| ~ big_p(c2)
| ~ big_p(c4)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_56) ).
cnf(clause_68,negated_conjecture,
( big_r(c2,c1)
| ~ big_p(c2)
| ~ big_p(c4)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_68) ).
cnf(clause_59,negated_conjecture,
( big_p(c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_59) ).
cnf(clause_58,negated_conjecture,
( big_p(c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_58) ).
cnf(clause_72,negated_conjecture,
( big_r(c2,c1)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_72) ).
cnf(clause_60,negated_conjecture,
( big_p(c1)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_60) ).
cnf(clause_6,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_6) ).
cnf(clause_12,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_12) ).
cnf(clause_18,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_18) ).
cnf(clause_5,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_5) ).
cnf(clause_11,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_11) ).
cnf(clause_17,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_17) ).
cnf(clause_4,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_4) ).
cnf(clause_10,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_10) ).
cnf(clause_16,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p',clause_16) ).
fof(c_0_53,plain,
( ~ epred9_0
<=> ! [X2,X1] :
( big_r(X2,f1(X2))
| ~ big_p(X1)
| ~ big_r(X2,X1) ) ),
introduced(definition) ).
fof(c_0_54,plain,
( ~ epred3_0
<=> ! [X2] :
( big_p(X2)
| big_r(X2,f3(X2)) ) ),
introduced(definition) ).
cnf(c_0_55,negated_conjecture,
( epred9_0
| big_r(X1,f1(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_53]) ).
cnf(c_0_56,negated_conjecture,
( big_r(c2,c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
clause_67 ).
cnf(c_0_57,negated_conjecture,
( big_p(c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
clause_55 ).
fof(c_0_58,plain,
( ~ epred11_0
<=> ! [X2,X1] :
( big_r(f1(X2),f2(X2))
| ~ big_p(X1)
| ~ big_r(X2,X1) ) ),
introduced(definition) ).
cnf(c_0_59,negated_conjecture,
( big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
clause_66 ).
cnf(c_0_60,negated_conjecture,
( big_p(c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(c4) ),
clause_54 ).
cnf(c_0_61,negated_conjecture,
( big_r(c4,c3)
| ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4) ),
clause_79 ).
cnf(c_0_62,negated_conjecture,
( epred3_0
| big_r(X1,f3(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_54]) ).
fof(c_0_63,plain,
( ~ epred5_0
<=> ! [X2] :
( big_p(X2)
| big_r(f3(X2),f4(X2)) ) ),
introduced(definition) ).
cnf(c_0_64,negated_conjecture,
( big_p(c3)
| ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4) ),
clause_78 ).
fof(c_0_65,plain,
( ~ epred4_0
<=> ! [X1] :
( big_p(X1)
| big_r(X1,f1(X1)) ) ),
introduced(definition) ).
cnf(c_0_66,negated_conjecture,
( epred9_0
| big_r(c2,f1(c2))
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( epred11_0
| big_r(f1(X1),f2(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_58]) ).
fof(c_0_68,plain,
( ~ epred7_0
<=> ! [X2,X1] :
( big_p(f2(X2))
| ~ big_p(X1)
| ~ big_r(X2,X1) ) ),
introduced(definition) ).
cnf(c_0_69,negated_conjecture,
( epred9_0
| big_r(c2,f1(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_59]),c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( epred3_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_r(f3(c2),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( epred5_0
| big_r(f3(X1),f4(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_63]) ).
fof(c_0_72,plain,
( ~ epred1_0
<=> ! [X2] :
( big_p(X2)
| big_p(f4(X2)) ) ),
introduced(definition) ).
cnf(c_0_73,negated_conjecture,
( epred3_0
| big_p(c2)
| big_p(c3)
| ~ big_r(f3(c2),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_62]) ).
cnf(c_0_74,negated_conjecture,
( epred4_0
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_65]) ).
fof(c_0_75,plain,
( ~ epred6_0
<=> ! [X1] :
( big_p(X1)
| big_r(f1(X1),f2(X1)) ) ),
introduced(definition) ).
cnf(c_0_76,negated_conjecture,
( epred9_0
| big_r(c4,c3)
| ~ big_r(f1(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_66]) ).
cnf(c_0_77,negated_conjecture,
( epred11_0
| big_r(f1(c2),f2(c2))
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_56]),c_0_57]) ).
cnf(c_0_78,negated_conjecture,
( epred7_0
| big_p(f2(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_68]) ).
cnf(c_0_79,negated_conjecture,
( epred9_0
| big_p(c3)
| ~ big_r(f1(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_69]) ).
cnf(c_0_80,negated_conjecture,
( epred11_0
| big_r(f1(c2),f2(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_59]),c_0_60]) ).
cnf(c_0_81,negated_conjecture,
( epred5_0
| epred3_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_p(f4(c2))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_82,negated_conjecture,
( epred1_0
| big_p(f4(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_72]) ).
cnf(c_0_83,negated_conjecture,
( epred5_0
| epred3_0
| big_p(c3)
| big_p(c2)
| ~ big_p(f4(c2))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_73,c_0_71]) ).
fof(c_0_84,plain,
( ~ epred10_0
<=> ! [X3,X2] :
( big_r(X3,f5(X3))
| ~ big_p(X2)
| ~ big_r(X3,X2) ) ),
introduced(definition) ).
cnf(c_0_85,negated_conjecture,
( epred4_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_r(f1(c2),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_74]) ).
cnf(c_0_86,negated_conjecture,
( epred6_0
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_75]) ).
fof(c_0_87,plain,
( ~ epred2_0
<=> ! [X1] :
( big_p(X1)
| big_p(f2(X1)) ) ),
introduced(definition) ).
cnf(c_0_88,negated_conjecture,
( epred11_0
| epred9_0
| big_r(c4,c3)
| ~ big_p(f2(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( epred7_0
| big_r(c4,c3)
| big_p(f2(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_56]),c_0_57]) ).
cnf(c_0_90,negated_conjecture,
( epred11_0
| epred9_0
| big_p(c3)
| ~ big_p(f2(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( epred7_0
| big_p(f2(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_59]),c_0_60]) ).
fof(c_0_92,plain,
( ~ epred16_0
<=> ! [X3,X4] :
( ~ big_p(X3)
| ~ big_p(c4)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4) ) ),
introduced(definition) ).
cnf(c_0_93,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_94,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| big_p(c3)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_83,c_0_82]) ).
fof(c_0_95,plain,
( ~ epred14_0
<=> ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2) ) ),
introduced(definition) ).
fof(c_0_96,plain,
( ~ epred18_0
<=> ! [X1,X2] :
( ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2) ) ),
introduced(definition) ).
cnf(c_0_97,negated_conjecture,
( epred10_0
| big_r(X1,f5(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_84]) ).
fof(c_0_98,plain,
( ~ epred12_0
<=> ! [X3,X2] :
( big_r(f5(X3),f6(X3))
| ~ big_p(X2)
| ~ big_r(X3,X2) ) ),
introduced(definition) ).
cnf(c_0_99,negated_conjecture,
( epred6_0
| epred4_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_p(f2(c2))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_100,negated_conjecture,
( epred2_0
| big_p(f2(X1))
| big_p(X1) ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_101,negated_conjecture,
( epred4_0
| big_p(c2)
| big_p(c3)
| ~ big_r(f1(c2),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_74]) ).
cnf(c_0_102,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_103,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_104,negated_conjecture,
( epred16_0
| ~ big_r(c4,X1)
| ~ big_r(X1,X2)
| ~ big_p(c4)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_92]) ).
cnf(c_0_105,negated_conjecture,
( epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_r(c4,f1(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_93]),c_0_94]) ).
cnf(c_0_106,negated_conjecture,
( epred14_0
| ~ big_r(c2,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_95]) ).
cnf(c_0_107,negated_conjecture,
( epred18_0
| ~ big_r(c4,X1)
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( epred10_0
| big_r(c2,f5(c2))
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_56]),c_0_57]) ).
cnf(c_0_109,negated_conjecture,
( epred12_0
| big_r(f5(X1),f6(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_98]) ).
fof(c_0_110,plain,
( ~ epred8_0
<=> ! [X3,X2] :
( big_p(f6(X3))
| ~ big_p(X2)
| ~ big_r(X3,X2) ) ),
introduced(definition) ).
cnf(c_0_111,negated_conjecture,
( epred10_0
| big_r(c2,f5(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_59]),c_0_60]) ).
cnf(c_0_112,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| big_p(c2)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_113,negated_conjecture,
( epred6_0
| epred4_0
| big_p(c3)
| big_p(c2)
| ~ big_p(f2(c2))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_101,c_0_86]) ).
cnf(c_0_114,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(c4,f1(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_102]),c_0_103]) ).
cnf(c_0_115,negated_conjecture,
( epred16_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_116,negated_conjecture,
( epred11_0
| epred5_0
| epred3_0
| epred1_0
| big_r(f1(c4),f2(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_93]),c_0_94]) ).
cnf(c_0_117,negated_conjecture,
( epred14_0
| epred3_0
| big_p(c2)
| ~ big_r(f3(c2),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_62]) ).
cnf(c_0_118,negated_conjecture,
( epred18_0
| epred3_0
| big_p(c4)
| ~ big_r(f3(c4),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_62]) ).
cnf(c_0_119,negated_conjecture,
( epred10_0
| big_r(c4,c3)
| ~ big_r(f5(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_108]) ).
cnf(c_0_120,negated_conjecture,
( epred12_0
| big_r(f5(c2),f6(c2))
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_56]),c_0_57]) ).
cnf(c_0_121,negated_conjecture,
( epred8_0
| big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_110]) ).
cnf(c_0_122,negated_conjecture,
( epred10_0
| big_p(c3)
| ~ big_r(f5(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_64,c_0_111]) ).
cnf(c_0_123,negated_conjecture,
( epred12_0
| big_r(f5(c2),f6(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_59]),c_0_60]) ).
cnf(c_0_124,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c4,f1(c4))
| big_p(c2)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_112]),c_0_74]) ).
cnf(c_0_125,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_p(c2)
| big_p(c3)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_113,c_0_100]) ).
cnf(c_0_126,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_114]) ).
cnf(c_0_127,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(f1(c4),f2(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_102]),c_0_103]) ).
cnf(c_0_128,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(f2(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_102]),c_0_103]) ).
cnf(c_0_129,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_p(f2(c4))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_130,negated_conjecture,
( epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(f2(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_93]),c_0_94]) ).
cnf(c_0_131,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_1 ).
cnf(c_0_132,negated_conjecture,
big_p(a),
inference(fof_simplification,[status(thm)],[clause_37]) ).
cnf(c_0_133,negated_conjecture,
( epred18_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_114]) ).
cnf(c_0_134,negated_conjecture,
( epred14_0
| epred5_0
| epred3_0
| big_p(c2)
| ~ big_p(f4(c2)) ),
inference(spm,[status(thm)],[c_0_117,c_0_71]) ).
cnf(c_0_135,negated_conjecture,
( epred18_0
| epred5_0
| epred3_0
| big_p(c4)
| ~ big_p(f4(c4)) ),
inference(spm,[status(thm)],[c_0_118,c_0_71]) ).
cnf(c_0_136,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_2 ).
cnf(c_0_137,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_3 ).
cnf(c_0_138,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_7 ).
cnf(c_0_139,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_8 ).
cnf(c_0_140,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_9 ).
cnf(c_0_141,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_p(f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_13 ).
cnf(c_0_142,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_r(X2,f3(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_14 ).
cnf(c_0_143,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(X2)
| big_r(f3(X2),f4(X2))
| ~ big_p(a)
| ~ big_p(a) ),
clause_15 ).
cnf(c_0_144,negated_conjecture,
( epred12_0
| epred10_0
| big_r(c4,c3)
| ~ big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_145,negated_conjecture,
( epred8_0
| big_r(c4,c3)
| big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_56]),c_0_57]) ).
cnf(c_0_146,negated_conjecture,
( epred12_0
| epred10_0
| big_p(c3)
| ~ big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_122,c_0_123]) ).
cnf(c_0_147,negated_conjecture,
( epred8_0
| big_p(f6(c2))
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_59]),c_0_60]) ).
cnf(c_0_148,negated_conjecture,
( epred16_0
| epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c2)
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_124]),c_0_125]) ).
cnf(c_0_149,negated_conjecture,
( epred11_0
| epred6_0
| epred4_0
| epred2_0
| big_r(f1(c4),f2(c4))
| big_p(c2)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_112]),c_0_86]) ).
cnf(c_0_150,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_127]),c_0_128]) ).
cnf(c_0_151,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_152,negated_conjecture,
( epred14_0
| epred4_0
| big_p(c2)
| ~ big_r(f1(c2),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_74]) ).
cnf(c_0_153,negated_conjecture,
( epred18_0
| epred4_0
| big_p(c4)
| ~ big_r(f1(c4),X1)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_74]) ).
cnf(c_0_154,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(f2(X1))
| big_p(f4(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_131]) ).
cnf(c_0_155,negated_conjecture,
big_p(a),
c_0_132 ).
cnf(c_0_156,negated_conjecture,
( epred18_0
| epred11_0
| epred9_0
| epred7_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_127]),c_0_128]) ).
cnf(c_0_157,negated_conjecture,
( epred14_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2) ),
inference(spm,[status(thm)],[c_0_134,c_0_82]) ).
cnf(c_0_158,negated_conjecture,
( epred18_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c4) ),
inference(spm,[status(thm)],[c_0_135,c_0_82]) ).
cnf(c_0_159,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(f2(X1))
| big_r(X2,f3(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_136]) ).
cnf(c_0_160,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(f2(X1))
| big_r(f3(X2),f4(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_137]) ).
cnf(c_0_161,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(f4(X2))
| big_r(X1,f1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_138]) ).
cnf(c_0_162,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X2,f3(X2))
| big_r(X1,f1(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_139]) ).
cnf(c_0_163,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X1,f1(X1))
| big_r(f3(X2),f4(X2))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_140]) ).
cnf(c_0_164,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_p(f4(X2))
| big_r(f1(X1),f2(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_141]) ).
cnf(c_0_165,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(X2,f3(X2))
| big_r(f1(X1),f2(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_142]) ).
cnf(c_0_166,negated_conjecture,
( big_p(X2)
| big_p(X1)
| big_r(f3(X2),f4(X2))
| big_r(f1(X1),f2(X1))
| ~ big_p(a) ),
inference(cn,[status(thm)],[c_0_143]) ).
cnf(c_0_167,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(c4,c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_144,c_0_145]) ).
cnf(c_0_168,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(c3)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_146,c_0_147]) ).
cnf(c_0_169,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_r(c4,f5(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_93]),c_0_94]) ).
cnf(c_0_170,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c2)
| ~ big_p(f2(c4))
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_125]) ).
cnf(c_0_171,negated_conjecture,
( epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(f2(c4))
| big_p(c2)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_112]),c_0_100]) ).
cnf(c_0_172,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_173,negated_conjecture,
( big_p(f2(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_22 ).
cnf(c_0_174,negated_conjecture,
( epred14_0
| epred6_0
| epred4_0
| big_p(c2)
| ~ big_p(f2(c2)) ),
inference(spm,[status(thm)],[c_0_152,c_0_86]) ).
cnf(c_0_175,negated_conjecture,
( epred18_0
| epred6_0
| epred4_0
| big_p(c4)
| ~ big_p(f2(c4)) ),
inference(spm,[status(thm)],[c_0_153,c_0_86]) ).
cnf(c_0_176,negated_conjecture,
( ~ epred2_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_155])]),c_0_72]),c_0_87]) ).
cnf(c_0_177,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_158]) ).
cnf(c_0_178,negated_conjecture,
( ~ epred3_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_155])]),c_0_54]),c_0_87]) ).
cnf(c_0_179,negated_conjecture,
( ~ epred5_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_160,c_0_155])]),c_0_63]),c_0_87]) ).
cnf(c_0_180,negated_conjecture,
( ~ epred4_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_155])]),c_0_65]),c_0_72]) ).
cnf(c_0_181,negated_conjecture,
( ~ epred4_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_162,c_0_155])]),c_0_65]),c_0_54]) ).
cnf(c_0_182,negated_conjecture,
( ~ epred5_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_163,c_0_155])]),c_0_63]),c_0_65]) ).
cnf(c_0_183,negated_conjecture,
( ~ epred6_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_155])]),c_0_75]),c_0_72]) ).
cnf(c_0_184,negated_conjecture,
( ~ epred6_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_155])]),c_0_75]),c_0_54]) ).
cnf(c_0_185,negated_conjecture,
( ~ epred6_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_166,c_0_155])]),c_0_75]),c_0_63]) ).
cnf(c_0_186,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_28 ).
cnf(c_0_187,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_34 ).
cnf(c_0_188,negated_conjecture,
( big_p(f2(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_23 ).
cnf(c_0_189,negated_conjecture,
( big_r(X2,f1(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_29 ).
cnf(c_0_190,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_r(X4,f5(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_35 ).
cnf(c_0_191,negated_conjecture,
( big_p(f2(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_24 ).
cnf(c_0_192,negated_conjecture,
( big_r(X2,f1(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_30 ).
cnf(c_0_193,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X3)
| ~ big_r(X4,X3) ),
clause_36 ).
cnf(c_0_194,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(c4,f5(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_167]),c_0_168]) ).
cnf(c_0_195,negated_conjecture,
( epred16_0
| epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_r(f5(c4),X1)
| ~ big_p(c4)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_169]) ).
cnf(c_0_196,negated_conjecture,
( epred12_0
| epred5_0
| epred3_0
| epred1_0
| big_r(f5(c4),f6(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_93]),c_0_94]) ).
cnf(c_0_197,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_125]) ).
cnf(c_0_198,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0
| epred7_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_172,c_0_158]) ).
cnf(c_0_199,negated_conjecture,
( big_p(f2(X2))
| big_p(f6(X4))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_173]) ).
cnf(c_0_200,negated_conjecture,
( epred14_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c2) ),
inference(spm,[status(thm)],[c_0_174,c_0_100]) ).
cnf(c_0_201,negated_conjecture,
( epred18_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c4) ),
inference(spm,[status(thm)],[c_0_175,c_0_100]) ).
cnf(c_0_202,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_177]),c_0_178]),c_0_179]) ).
cnf(c_0_203,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_177]),c_0_181]),c_0_182]) ).
cnf(c_0_204,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_177]),c_0_184]),c_0_185]) ).
cnf(c_0_205,negated_conjecture,
( big_p(f6(X4))
| big_r(X2,f1(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_186]) ).
cnf(c_0_206,negated_conjecture,
( big_p(f6(X4))
| big_r(f1(X2),f2(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_187]) ).
cnf(c_0_207,negated_conjecture,
( big_p(f2(X2))
| big_r(X4,f5(X4))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_188]) ).
cnf(c_0_208,negated_conjecture,
( big_r(X4,f5(X4))
| big_r(X2,f1(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_189]) ).
cnf(c_0_209,negated_conjecture,
( big_r(X4,f5(X4))
| big_r(f1(X2),f2(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_190]) ).
cnf(c_0_210,negated_conjecture,
( big_p(f2(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_191]) ).
cnf(c_0_211,negated_conjecture,
( big_r(X2,f1(X2))
| big_r(f5(X4),f6(X4))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_192]) ).
cnf(c_0_212,negated_conjecture,
( big_r(f5(X4),f6(X4))
| big_r(f1(X2),f2(X2))
| ~ big_p(X3)
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X4,X3)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_193]) ).
cnf(c_0_213,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_r(f5(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_194]) ).
cnf(c_0_214,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(f5(c4),f6(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_167]),c_0_168]) ).
cnf(c_0_215,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(f6(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_167]),c_0_168]) ).
cnf(c_0_216,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_p(f6(c4))
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_195,c_0_196]) ).
cnf(c_0_217,negated_conjecture,
( epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(f6(c4))
| big_p(c2)
| ~ big_p(c4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_93]),c_0_94]) ).
cnf(c_0_218,negated_conjecture,
( epred16_0
| epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_150,c_0_197]) ).
cnf(c_0_219,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred2_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_176,c_0_198]),c_0_178]),c_0_179]) ).
cnf(c_0_220,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred4_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_198]),c_0_181]),c_0_182]) ).
cnf(c_0_221,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0
| epred7_0
| ~ epred6_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_198]),c_0_184]),c_0_185]) ).
cnf(c_0_222,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_19 ).
cnf(c_0_223,negated_conjecture,
( epred18_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_r(f5(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_194]) ).
cnf(c_0_224,negated_conjecture,
( ~ epred8_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_155])]),c_0_110]),c_0_68]) ).
cnf(c_0_225,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_200]),c_0_201]),c_0_202]),c_0_203]),c_0_204]) ).
cnf(c_0_226,negated_conjecture,
( ~ epred9_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_155])]),c_0_53]),c_0_110]) ).
cnf(c_0_227,negated_conjecture,
( ~ epred11_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_155])]),c_0_58]),c_0_110]) ).
cnf(c_0_228,negated_conjecture,
( ~ epred10_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_155])]),c_0_84]),c_0_68]) ).
cnf(c_0_229,negated_conjecture,
( ~ epred10_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_155])]),c_0_53]),c_0_84]) ).
cnf(c_0_230,negated_conjecture,
( ~ epred11_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_155])]),c_0_58]),c_0_84]) ).
cnf(c_0_231,negated_conjecture,
( ~ epred12_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_155])]),c_0_98]),c_0_68]) ).
cnf(c_0_232,negated_conjecture,
( ~ epred12_0
| ~ epred9_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_155])]),c_0_98]),c_0_53]) ).
cnf(c_0_233,negated_conjecture,
( ~ epred12_0
| ~ epred11_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_155])]),c_0_58]),c_0_98]) ).
cnf(c_0_234,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_20 ).
cnf(c_0_235,negated_conjecture,
( big_p(f2(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_21 ).
cnf(c_0_236,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).
cnf(c_0_237,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c2)
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_216,c_0_217]) ).
cnf(c_0_238,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0
| epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_201]),c_0_219]),c_0_220]),c_0_221]) ).
cnf(c_0_239,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_25 ).
cnf(c_0_240,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_26 ).
cnf(c_0_241,negated_conjecture,
( big_r(X2,f1(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_27 ).
cnf(c_0_242,negated_conjecture,
( big_p(X3)
| big_p(f2(X2))
| big_p(f4(X3))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_222]) ).
cnf(c_0_243,negated_conjecture,
( epred18_0
| epred12_0
| epred10_0
| epred8_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_214]),c_0_215]) ).
cnf(c_0_244,negated_conjecture,
( epred18_0
| epred14_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_225]),c_0_226]),c_0_227]) ).
cnf(c_0_245,negated_conjecture,
( epred18_0
| epred14_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_225]),c_0_229]),c_0_230]) ).
cnf(c_0_246,negated_conjecture,
( epred18_0
| epred14_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_225]),c_0_232]),c_0_233]) ).
cnf(c_0_247,negated_conjecture,
( big_p(X3)
| big_p(f2(X2))
| big_r(X3,f3(X3))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_234]) ).
cnf(c_0_248,negated_conjecture,
( big_p(X3)
| big_p(f2(X2))
| big_r(f3(X3),f4(X3))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_235]) ).
cnf(c_0_249,negated_conjecture,
( epred16_0
| epred12_0
| epred10_0
| epred8_0
| epred5_0
| epred3_0
| epred1_0
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_236,c_0_237]) ).
cnf(c_0_250,negated_conjecture,
( epred18_0
| epred16_0
| ~ epred8_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_224,c_0_238]),c_0_226]),c_0_227]) ).
cnf(c_0_251,negated_conjecture,
( epred18_0
| epred16_0
| ~ epred10_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_228,c_0_238]),c_0_229]),c_0_230]) ).
cnf(c_0_252,negated_conjecture,
( epred18_0
| epred16_0
| ~ epred12_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_238]),c_0_232]),c_0_233]) ).
cnf(c_0_253,negated_conjecture,
( big_p(X3)
| big_p(f4(X3))
| big_r(X2,f1(X2))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_239]) ).
cnf(c_0_254,negated_conjecture,
( big_p(X3)
| big_r(X3,f3(X3))
| big_r(X2,f1(X2))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_240]) ).
cnf(c_0_255,negated_conjecture,
( big_p(X3)
| big_r(X2,f1(X2))
| big_r(f3(X3),f4(X3))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_241]) ).
cnf(c_0_256,negated_conjecture,
( ~ epred7_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_155])]),c_0_72]),c_0_68]) ).
cnf(c_0_257,negated_conjecture,
( epred18_0
| epred14_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_157]),c_0_158]),c_0_244]),c_0_245]),c_0_246]) ).
cnf(c_0_258,negated_conjecture,
( ~ epred7_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_155])]),c_0_54]),c_0_68]) ).
cnf(c_0_259,negated_conjecture,
( ~ epred7_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_155])]),c_0_63]),c_0_68]) ).
cnf(c_0_260,negated_conjecture,
( epred18_0
| epred16_0
| epred5_0
| epred3_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_249,c_0_158]),c_0_250]),c_0_251]),c_0_252]) ).
cnf(c_0_261,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_p(f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_31 ).
cnf(c_0_262,negated_conjecture,
( ~ epred9_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_155])]),c_0_53]),c_0_72]) ).
cnf(c_0_263,negated_conjecture,
( ~ epred9_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_155])]),c_0_53]),c_0_54]) ).
cnf(c_0_264,negated_conjecture,
( ~ epred9_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_155])]),c_0_63]),c_0_53]) ).
cnf(c_0_265,negated_conjecture,
( epred18_0
| epred14_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_257]),c_0_258]),c_0_259]) ).
cnf(c_0_266,negated_conjecture,
( epred18_0
| epred16_0
| ~ epred7_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_256,c_0_260]),c_0_258]),c_0_259]) ).
cnf(c_0_267,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_r(X3,f3(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_32 ).
cnf(c_0_268,negated_conjecture,
( big_p(X3)
| big_p(f4(X3))
| big_r(f1(X2),f2(X2))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_261]) ).
cnf(c_0_269,negated_conjecture,
( epred18_0
| epred14_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_257]),c_0_263]),c_0_264]) ).
cnf(c_0_270,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_265,c_0_225]) ).
cnf(c_0_271,negated_conjecture,
( epred18_0
| epred16_0
| ~ epred9_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_260]),c_0_263]),c_0_264]) ).
cnf(c_0_272,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0
| epred9_0 ),
inference(spm,[status(thm)],[c_0_266,c_0_238]) ).
cnf(c_0_273,negated_conjecture,
( big_r(f1(X2),f2(X2))
| big_p(X3)
| big_r(f3(X3),f4(X3))
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_r(X2,X1)
| ~ big_p(a) ),
clause_33 ).
cnf(c_0_274,negated_conjecture,
( big_p(X3)
| big_r(X3,f3(X3))
| big_r(f1(X2),f2(X2))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_267]) ).
cnf(c_0_275,negated_conjecture,
( ~ epred11_0
| ~ epred1_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_268,c_0_155])]),c_0_58]),c_0_72]) ).
cnf(c_0_276,negated_conjecture,
( epred18_0
| epred14_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_270]) ).
cnf(c_0_277,negated_conjecture,
( epred18_0
| epred16_0
| epred11_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_272]) ).
cnf(c_0_278,negated_conjecture,
( big_p(X3)
| big_r(f3(X3),f4(X3))
| big_r(f1(X2),f2(X2))
| ~ big_p(X1)
| ~ big_p(a)
| ~ big_r(X2,X1) ),
inference(cn,[status(thm)],[c_0_273]) ).
cnf(c_0_279,negated_conjecture,
( ~ epred11_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_155])]),c_0_58]),c_0_54]) ).
cnf(c_0_280,negated_conjecture,
( epred18_0
| epred14_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_257]),c_0_276]) ).
cnf(c_0_281,negated_conjecture,
( epred18_0
| epred16_0
| epred5_0
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_275,c_0_260]),c_0_277]) ).
cnf(c_0_282,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(c4)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
clause_80 ).
cnf(c_0_283,negated_conjecture,
( ~ epred11_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_278,c_0_155])]),c_0_58]),c_0_63]) ).
cnf(c_0_284,negated_conjecture,
( epred18_0
| epred14_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_276]) ).
cnf(c_0_285,negated_conjecture,
( epred18_0
| epred16_0
| epred5_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_281]),c_0_277]) ).
cnf(c_0_286,negated_conjecture,
( big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_70 ).
cnf(c_0_287,negated_conjecture,
( big_r(c2,c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_71 ).
cnf(c_0_288,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3)
| ~ big_p(X5)
| ~ big_r(c4,X6)
| ~ big_r(X6,X5) ),
clause_84 ).
cnf(c_0_289,negated_conjecture,
( ~ epred16_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_282,c_0_92]),c_0_95]) ).
cnf(c_0_290,negated_conjecture,
( epred18_0
| epred14_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_284]),c_0_276]) ).
cnf(c_0_291,negated_conjecture,
( epred18_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_285]),c_0_277]) ).
cnf(c_0_292,negated_conjecture,
( epred4_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_74]),c_0_59]) ).
cnf(c_0_293,negated_conjecture,
( epred4_0
| big_r(c2,c1)
| big_r(c4,c3)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_287,c_0_74]),c_0_56]) ).
cnf(c_0_294,negated_conjecture,
( ~ epred18_0
| ~ epred14_0 ),
inference(cn,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_288,c_0_96]),c_0_96]),c_0_95])]) ).
cnf(c_0_295,negated_conjecture,
epred18_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291]) ).
cnf(c_0_296,negated_conjecture,
( epred6_0
| epred4_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_p(f2(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_86]),c_0_59]) ).
cnf(c_0_297,negated_conjecture,
( big_p(c1)
| ~ big_p(c2)
| ~ big_p(c4)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_56 ).
cnf(c_0_298,negated_conjecture,
( epred9_0
| big_r(c4,f1(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_57]),c_0_60]) ).
cnf(c_0_299,negated_conjecture,
( epred6_0
| epred4_0
| big_r(c4,c3)
| big_r(c2,c1)
| ~ big_p(f2(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_293,c_0_86]),c_0_56]) ).
cnf(c_0_300,negated_conjecture,
~ epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_294,c_0_295])]) ).
cnf(c_0_301,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_100]),c_0_59]) ).
cnf(c_0_302,negated_conjecture,
( big_r(c2,c1)
| ~ big_p(c2)
| ~ big_p(c4)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_68 ).
cnf(c_0_303,negated_conjecture,
( epred9_0
| big_p(c1)
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_297,c_0_298]) ).
cnf(c_0_304,negated_conjecture,
( epred11_0
| big_r(f1(c4),f2(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_57]),c_0_60]) ).
cnf(c_0_305,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_r(c2,c1)
| big_r(c4,c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_299,c_0_100]),c_0_56]) ).
cnf(c_0_306,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_p(c2) ),
inference(sr,[status(thm)],[c_0_200,c_0_300]) ).
cnf(c_0_307,negated_conjecture,
( big_p(c1)
| big_r(c4,c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_59 ).
cnf(c_0_308,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c2,f1(c2))
| big_p(c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_301]),c_0_74]) ).
cnf(c_0_309,negated_conjecture,
( big_p(c1)
| big_p(c3)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1) ),
clause_58 ).
cnf(c_0_310,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(c2,c1)
| ~ big_r(f1(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_114]) ).
cnf(c_0_311,negated_conjecture,
( epred11_0
| epred9_0
| big_p(c1)
| ~ big_p(f2(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_303,c_0_304]) ).
cnf(c_0_312,negated_conjecture,
( epred7_0
| big_p(f2(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_57]),c_0_60]) ).
fof(c_0_313,plain,
( ~ epred19_0
<=> ! [X3,X4] :
( big_r(c2,c1)
| ~ big_p(X3)
| ~ big_p(c2)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4) ) ),
introduced(definition) ).
cnf(c_0_314,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c2,f1(c2))
| big_r(c4,c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_305]),c_0_306]) ).
cnf(c_0_315,negated_conjecture,
( epred4_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_74]),c_0_57]) ).
cnf(c_0_316,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c3)
| ~ big_r(f1(c2),X1)
| ~ big_p(c1)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_308]),c_0_300]) ).
cnf(c_0_317,negated_conjecture,
( epred11_0
| epred6_0
| epred4_0
| epred2_0
| big_r(f1(c2),f2(c2))
| big_p(c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_301]),c_0_306]) ).
cnf(c_0_318,negated_conjecture,
( epred4_0
| big_p(c1)
| big_p(c3)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_74]),c_0_60]) ).
cnf(c_0_319,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(c2,c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_127]),c_0_128]) ).
cnf(c_0_320,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_311,c_0_312]) ).
cnf(c_0_321,negated_conjecture,
( epred19_0
| big_r(c2,c1)
| ~ big_r(c4,X1)
| ~ big_r(X1,X2)
| ~ big_p(c2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_313]) ).
cnf(c_0_322,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| ~ big_r(f1(c2),X1)
| ~ big_p(c1)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_314]),c_0_300]) ).
cnf(c_0_323,negated_conjecture,
( epred11_0
| epred6_0
| epred4_0
| epred2_0
| big_r(f1(c2),f2(c2))
| big_r(c4,c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_305]),c_0_306]) ).
cnf(c_0_324,negated_conjecture,
( epred6_0
| epred4_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_p(f2(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_315,c_0_86]),c_0_57]) ).
cnf(c_0_325,negated_conjecture,
( epred11_0
| epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c3)
| ~ big_p(f2(c2))
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_316,c_0_317]) ).
cnf(c_0_326,negated_conjecture,
( epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(f2(c2))
| big_p(c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_301]),c_0_100]) ).
cnf(c_0_327,negated_conjecture,
( epred6_0
| epred4_0
| big_p(c3)
| big_p(c1)
| ~ big_p(f2(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_86]),c_0_60]) ).
cnf(c_0_328,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(c2,f1(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_319]),c_0_320]) ).
cnf(c_0_329,negated_conjecture,
( epred19_0
| epred4_0
| big_r(c2,c1)
| big_p(c4)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_74]) ).
cnf(c_0_330,negated_conjecture,
( big_r(c2,c1)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
clause_72 ).
cnf(c_0_331,negated_conjecture,
( epred11_0
| epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| ~ big_p(f2(c2))
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_322,c_0_323]) ).
cnf(c_0_332,negated_conjecture,
( epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| big_p(f2(c2))
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_305]),c_0_100]) ).
cnf(c_0_333,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_324,c_0_100]),c_0_57]) ).
cnf(c_0_334,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c3)
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_325,c_0_326]) ).
cnf(c_0_335,negated_conjecture,
( epred6_0
| epred4_0
| epred2_0
| big_p(c1)
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_327,c_0_100]),c_0_60]) ).
cnf(c_0_336,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| ~ big_r(f1(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_328]),c_0_300]) ).
cnf(c_0_337,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_r(f1(c2),f2(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_319]),c_0_320]) ).
cnf(c_0_338,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| big_p(f2(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_319]),c_0_320]) ).
cnf(c_0_339,negated_conjecture,
( epred19_0
| epred6_0
| epred4_0
| big_r(c2,c1)
| big_p(c4)
| ~ big_p(f2(c4))
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_329,c_0_86]) ).
cnf(c_0_340,negated_conjecture,
( ~ epred19_0
| ~ epred18_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_330,c_0_313]),c_0_96]) ).
cnf(c_0_341,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c4,c3)
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_331,c_0_332]) ).
cnf(c_0_342,negated_conjecture,
( epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(f2(c4))
| big_p(c1)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_333]),c_0_171]) ).
cnf(c_0_343,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_306]) ).
cnf(c_0_344,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_336,c_0_337]),c_0_338]) ).
fof(c_0_345,plain,
( ~ epred17_0
<=> ! [X3,X4] :
( big_p(c1)
| ~ big_p(X3)
| ~ big_p(c2)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4) ) ),
introduced(definition) ).
cnf(c_0_346,negated_conjecture,
( big_p(c1)
| ~ big_p(c2)
| ~ big_p(X1)
| ~ big_r(c4,X2)
| ~ big_r(X2,X1)
| ~ big_p(X3)
| ~ big_r(c4,X4)
| ~ big_r(X4,X3) ),
clause_60 ).
cnf(c_0_347,negated_conjecture,
( epred19_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c2,c1)
| big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_339,c_0_100]) ).
cnf(c_0_348,negated_conjecture,
~ epred19_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_340,c_0_295])]) ).
cnf(c_0_349,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(f2(c4)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_341]),c_0_342]),c_0_343]) ).
cnf(c_0_350,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| ~ big_p(c4) ),
inference(spm,[status(thm)],[c_0_344,c_0_306]) ).
cnf(c_0_351,negated_conjecture,
( epred17_0
| big_p(c1)
| ~ big_r(c4,X1)
| ~ big_r(X1,X2)
| ~ big_p(c2)
| ~ big_p(X2) ),
inference(split_equiv,[status(thm)],[c_0_345]) ).
cnf(c_0_352,negated_conjecture,
( ~ epred18_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_346,c_0_345]),c_0_96]) ).
cnf(c_0_353,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c2,f1(c2))
| big_p(c4)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_347]),c_0_348]),c_0_306]) ).
cnf(c_0_354,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_r(c2,c1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_349]),c_0_348]),c_0_306]),c_0_350]) ).
cnf(c_0_355,negated_conjecture,
( epred17_0
| epred4_0
| big_p(c4)
| big_p(c1)
| ~ big_r(f1(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_351,c_0_74]) ).
cnf(c_0_356,negated_conjecture,
( epred11_0
| epred6_0
| epred4_0
| epred2_0
| big_r(f1(c4),f2(c4))
| big_p(c1)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_333]),c_0_306]) ).
cnf(c_0_357,negated_conjecture,
~ epred17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_352,c_0_295])]) ).
cnf(c_0_358,negated_conjecture,
( epred3_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_r(f3(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_62]),c_0_59]) ).
cnf(c_0_359,negated_conjecture,
( epred3_0
| big_p(c1)
| big_p(c3)
| ~ big_r(f3(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_62]),c_0_60]) ).
cnf(c_0_360,negated_conjecture,
( epred10_0
| big_r(c4,f5(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_57]),c_0_60]) ).
cnf(c_0_361,negated_conjecture,
( epred9_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c4)
| ~ big_r(f1(c2),X1)
| ~ big_p(c1)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_353]),c_0_300]) ).
cnf(c_0_362,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_r(f1(c2),f2(c2))
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_67,c_0_354]) ).
cnf(c_0_363,negated_conjecture,
( epred11_0
| epred6_0
| epred4_0
| epred2_0
| big_p(c1)
| big_p(c4) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_357]),c_0_335]),c_0_306]),c_0_100]) ).
cnf(c_0_364,negated_conjecture,
( epred5_0
| epred3_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_p(f4(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_358,c_0_71]),c_0_59]) ).
cnf(c_0_365,negated_conjecture,
( epred5_0
| epred3_0
| big_p(c3)
| big_p(c1)
| ~ big_p(f4(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_71]),c_0_60]) ).
cnf(c_0_366,negated_conjecture,
( epred10_0
| big_p(c1)
| ~ big_r(f5(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_297,c_0_360]) ).
cnf(c_0_367,negated_conjecture,
( epred12_0
| big_r(f5(c4),f6(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_57]),c_0_60]) ).
cnf(c_0_368,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| ~ big_p(f2(c2)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_361,c_0_362]),c_0_363]),c_0_350]) ).
cnf(c_0_369,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| big_p(f2(c2))
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_78,c_0_354]) ).
cnf(c_0_370,negated_conjecture,
( epred3_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_r(f3(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_62]),c_0_57]) ).
cnf(c_0_371,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_r(c2,c1)
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_82]),c_0_59]) ).
cnf(c_0_372,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(c1)
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_82]),c_0_60]) ).
cnf(c_0_373,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(c2,c1)
| ~ big_r(f5(c4),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_194]) ).
cnf(c_0_374,negated_conjecture,
( epred12_0
| epred10_0
| big_p(c1)
| ~ big_p(f6(c4))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_366,c_0_367]) ).
cnf(c_0_375,negated_conjecture,
( epred8_0
| big_p(f6(c4))
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_57]),c_0_60]) ).
cnf(c_0_376,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_368,c_0_369]) ).
cnf(c_0_377,negated_conjecture,
( epred5_0
| epred3_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_p(f4(c4))
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_370,c_0_71]),c_0_57]) ).
cnf(c_0_378,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_r(c2,f5(c2))
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_371]),c_0_372]) ).
cnf(c_0_379,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_p(c2) ),
inference(sr,[status(thm)],[c_0_157,c_0_300]) ).
cnf(c_0_380,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(c2,c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_373,c_0_214]),c_0_215]) ).
cnf(c_0_381,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(c1)
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(spm,[status(thm)],[c_0_374,c_0_375]) ).
cnf(c_0_382,negated_conjecture,
( epred11_0
| epred9_0
| epred7_0
| epred6_0
| epred4_0
| epred2_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_363]),c_0_350]) ).
cnf(c_0_383,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_6 ).
cnf(c_0_384,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_12 ).
cnf(c_0_385,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_18 ).
cnf(c_0_386,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_5 ).
cnf(c_0_387,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_11 ).
cnf(c_0_388,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_r(X3,f5(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_17 ).
cnf(c_0_389,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_4 ).
cnf(c_0_390,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_10 ).
cnf(c_0_391,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| big_p(f6(X3))
| ~ big_p(a)
| ~ big_p(a)
| ~ big_p(X2)
| ~ big_r(X3,X2) ),
clause_16 ).
cnf(c_0_392,negated_conjecture,
( epred5_0
| epred3_0
| epred1_0
| big_r(c4,c3)
| big_p(c1)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_82]),c_0_57]) ).
cnf(c_0_393,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c3)
| ~ big_r(f5(c2),X1)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_378]),c_0_300]),c_0_379]) ).
cnf(c_0_394,negated_conjecture,
( epred12_0
| epred5_0
| epred3_0
| epred1_0
| big_r(f5(c2),f6(c2))
| big_p(c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_371]),c_0_379]) ).
cnf(c_0_395,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(c2,f5(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_380]),c_0_381]) ).
cnf(c_0_396,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_382]),c_0_181]),c_0_184]),c_0_258]),c_0_263]),c_0_279]) ).
cnf(c_0_397,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_383]) ).
cnf(c_0_398,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| big_r(f5(X3),f6(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_384]) ).
cnf(c_0_399,negated_conjecture,
( big_p(X1)
| big_r(f5(X3),f6(X3))
| big_r(f1(X1),f2(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_385]) ).
cnf(c_0_400,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_r(X3,f5(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_386]) ).
cnf(c_0_401,negated_conjecture,
( big_p(X1)
| big_r(X3,f5(X3))
| big_r(X1,f1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_387]) ).
cnf(c_0_402,negated_conjecture,
( big_p(X1)
| big_r(X3,f5(X3))
| big_r(f1(X1),f2(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_388]) ).
cnf(c_0_403,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| big_p(f6(X3))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_389]) ).
cnf(c_0_404,negated_conjecture,
( big_p(X1)
| big_p(f6(X3))
| big_r(X1,f1(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_390]) ).
cnf(c_0_405,negated_conjecture,
( big_p(X1)
| big_p(f6(X3))
| big_r(f1(X1),f2(X1))
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_r(X3,X2) ),
inference(cn,[status(thm)],[c_0_391]) ).
cnf(c_0_406,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_r(c4,f5(c4))
| big_p(c1)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_392]),c_0_372]) ).
cnf(c_0_407,negated_conjecture,
( epred12_0
| epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c3)
| ~ big_p(f6(c2))
| ~ big_p(c1) ),
inference(spm,[status(thm)],[c_0_393,c_0_394]) ).
cnf(c_0_408,negated_conjecture,
( epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(f6(c2))
| big_p(c3)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_371]),c_0_372]) ).
cnf(c_0_409,negated_conjecture,
~ epred5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_382]),c_0_182]),c_0_185]),c_0_259]),c_0_264]),c_0_283]) ).
cnf(c_0_410,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| ~ big_r(f5(c2),X1)
| ~ big_p(c4)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_395]),c_0_300]) ).
cnf(c_0_411,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_r(f5(c2),f6(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_380]),c_0_381]) ).
cnf(c_0_412,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| big_p(f6(c2))
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_380]),c_0_381]) ).
cnf(c_0_413,negated_conjecture,
( epred5_0
| epred1_0
| big_p(c2) ),
inference(sr,[status(thm)],[c_0_379,c_0_396]) ).
cnf(c_0_414,negated_conjecture,
( ~ epred12_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_397,c_0_155])]),c_0_98]),c_0_87]) ).
cnf(c_0_415,negated_conjecture,
( ~ epred12_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_398,c_0_155])]),c_0_98]),c_0_65]) ).
cnf(c_0_416,negated_conjecture,
( ~ epred12_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_399,c_0_155])]),c_0_75]),c_0_98]) ).
cnf(c_0_417,negated_conjecture,
( ~ epred10_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_155])]),c_0_84]),c_0_87]) ).
cnf(c_0_418,negated_conjecture,
( ~ epred10_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_401,c_0_155])]),c_0_65]),c_0_84]) ).
cnf(c_0_419,negated_conjecture,
( ~ epred10_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_155])]),c_0_75]),c_0_84]) ).
cnf(c_0_420,negated_conjecture,
( ~ epred8_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_403,c_0_155])]),c_0_110]),c_0_87]) ).
cnf(c_0_421,negated_conjecture,
( ~ epred8_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_404,c_0_155])]),c_0_65]),c_0_110]) ).
cnf(c_0_422,negated_conjecture,
( ~ epred8_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_155])]),c_0_75]),c_0_110]) ).
cnf(c_0_423,negated_conjecture,
( epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c1)
| ~ big_r(f5(c4),X1)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_351,c_0_406]),c_0_357]),c_0_379]) ).
cnf(c_0_424,negated_conjecture,
( epred12_0
| epred5_0
| epred3_0
| epred1_0
| big_r(f5(c4),f6(c4))
| big_p(c1)
| ~ big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_392]),c_0_379]) ).
cnf(c_0_425,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c3)
| ~ big_p(c1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_408]),c_0_379]) ).
cnf(c_0_426,negated_conjecture,
( epred19_0
| epred3_0
| big_r(c2,c1)
| big_p(c4)
| ~ big_r(f3(c4),X1)
| ~ big_p(c2)
| ~ big_p(X1) ),
inference(spm,[status(thm)],[c_0_321,c_0_62]) ).
cnf(c_0_427,negated_conjecture,
( big_r(f3(X1),f4(X1))
| big_p(X1) ),
inference(sr,[status(thm)],[c_0_71,c_0_409]) ).
cnf(c_0_428,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| ~ big_p(c4)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_410,c_0_411]),c_0_412]) ).
cnf(c_0_429,negated_conjecture,
( epred1_0
| big_p(c2) ),
inference(sr,[status(thm)],[c_0_413,c_0_409]) ).
cnf(c_0_430,negated_conjecture,
~ epred12_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_414,c_0_382]),c_0_415]),c_0_416]),c_0_231]),c_0_232]),c_0_233]) ).
cnf(c_0_431,negated_conjecture,
~ epred10_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_417,c_0_382]),c_0_418]),c_0_419]),c_0_228]),c_0_229]),c_0_230]) ).
cnf(c_0_432,negated_conjecture,
~ epred8_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_420,c_0_382]),c_0_421]),c_0_422]),c_0_224]),c_0_226]),c_0_227]) ).
cnf(c_0_433,negated_conjecture,
( epred12_0
| epred10_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c1)
| ~ big_p(f6(c4))
| ~ big_p(c3) ),
inference(spm,[status(thm)],[c_0_423,c_0_424]) ).
cnf(c_0_434,negated_conjecture,
( epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(f6(c4))
| big_p(c1)
| ~ big_p(c2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_392]),c_0_372]) ).
cnf(c_0_435,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_425,c_0_372]),c_0_379]) ).
cnf(c_0_436,negated_conjecture,
( big_r(c2,c1)
| big_p(c4)
| ~ big_p(f4(c4))
| ~ big_p(c2) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_426,c_0_427]),c_0_348]),c_0_396]) ).
cnf(c_0_437,negated_conjecture,
( epred1_0
| ~ big_p(c4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_428,c_0_429]),c_0_430]),c_0_431]),c_0_432]) ).
cnf(c_0_438,negated_conjecture,
( epred12_0
| epred10_0
| epred8_0
| epred5_0
| epred3_0
| epred1_0
| big_p(c1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_433,c_0_434]),c_0_379]),c_0_435]) ).
cnf(c_0_439,negated_conjecture,
( epred1_0
| big_r(c2,c1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_82]),c_0_429]),c_0_437]) ).
cnf(c_0_440,negated_conjecture,
( epred1_0
| big_p(c1) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_438,c_0_396]),c_0_430]),c_0_431]),c_0_432]),c_0_409]) ).
cnf(c_0_441,negated_conjecture,
( epred1_0
| big_r(c2,f5(c2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_439]),c_0_431]),c_0_440]) ).
cnf(c_0_442,negated_conjecture,
( epred1_0
| ~ big_r(f5(c2),X1)
| ~ big_p(X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_441]),c_0_300]) ).
cnf(c_0_443,negated_conjecture,
( epred1_0
| big_r(f5(c2),f6(c2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_439]),c_0_430]),c_0_440]) ).
cnf(c_0_444,negated_conjecture,
( epred1_0
| big_p(f6(c2)) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_439]),c_0_432]),c_0_440]) ).
cnf(c_0_445,negated_conjecture,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_443]),c_0_444]) ).
cnf(c_0_446,negated_conjecture,
~ epred11_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_275,c_0_445])]) ).
cnf(c_0_447,negated_conjecture,
~ epred9_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_262,c_0_445])]) ).
cnf(c_0_448,negated_conjecture,
~ epred7_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_445])]) ).
cnf(c_0_449,negated_conjecture,
~ epred6_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_445])]) ).
cnf(c_0_450,negated_conjecture,
~ epred4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_180,c_0_445])]) ).
cnf(c_0_451,negated_conjecture,
~ epred2_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_445])]) ).
cnf(c_0_452,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_382,c_0_446]),c_0_447]),c_0_448]),c_0_449]),c_0_450]),c_0_451]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n005.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 18:14:46 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.BxwpxA8LvQ/E---3.1_10153.p
% 417.46/300.04 # Version: 3.1pre001
% 417.46/300.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 417.46/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 417.46/300.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 417.46/300.04 # Starting new_bool_3 with 300s (1) cores
% 417.46/300.04 # Starting new_bool_1 with 300s (1) cores
% 417.46/300.04 # Starting sh5l with 300s (1) cores
% 417.46/300.04 # sh5l with pid 10234 completed with status 0
% 417.46/300.04 # Result found by sh5l
% 417.46/300.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 417.46/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 417.46/300.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 417.46/300.04 # Starting new_bool_3 with 300s (1) cores
% 417.46/300.04 # Starting new_bool_1 with 300s (1) cores
% 417.46/300.04 # Starting sh5l with 300s (1) cores
% 417.46/300.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 417.46/300.04 # Search class: FGHNF-FSMS11-SFFFFFNN
% 417.46/300.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 417.46/300.04 # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 181s (1) cores
% 417.46/300.04 # G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with pid 10242 completed with status 0
% 417.46/300.04 # Result found by G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y
% 417.46/300.04 # Preprocessing class: FSLSSMSSSSSNFFN.
% 417.46/300.04 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 417.46/300.04 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 417.46/300.04 # Starting new_bool_3 with 300s (1) cores
% 417.46/300.04 # Starting new_bool_1 with 300s (1) cores
% 417.46/300.04 # Starting sh5l with 300s (1) cores
% 417.46/300.04 # SinE strategy is gf500_gu_R04_F100_L20000
% 417.46/300.04 # Search class: FGHNF-FSMS11-SFFFFFNN
% 417.46/300.04 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 417.46/300.04 # Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 181s (1) cores
% 417.46/300.04 # Preprocessing time : 0.002 s
% 417.46/300.04 # Presaturation interreduction done
% 417.46/300.04
% 417.46/300.04 # Proof found!
% 417.46/300.04 # SZS status Unsatisfiable
% 417.46/300.04 # SZS output start CNFRefutation
% See solution above
% 417.46/300.05 # Parsed axioms : 84
% 417.46/300.05 # Removed by relevancy pruning/SinE : 0
% 417.46/300.05 # Initial clauses : 84
% 417.46/300.05 # Removed in clause preprocessing : 0
% 417.46/300.05 # Initial clauses in saturation : 84
% 417.46/300.05 # Processed clauses : 2307
% 417.46/300.05 # ...of these trivial : 29
% 417.46/300.05 # ...subsumed : 1086
% 417.46/300.05 # ...remaining for further processing : 1191
% 417.46/300.05 # Other redundant clauses eliminated : 0
% 417.46/300.05 # Clauses deleted for lack of memory : 0
% 417.46/300.05 # Backward-subsumed : 468
% 417.46/300.05 # Backward-rewritten : 79
% 417.46/300.05 # Generated clauses : 5332
% 417.46/300.05 # ...of the previous two non-redundant : 4572
% 417.46/300.05 # ...aggressively subsumed : 0
% 417.46/300.05 # Contextual simplify-reflections : 417
% 417.46/300.05 # Paramodulations : 5219
% 417.46/300.05 # Factorizations : 0
% 417.46/300.05 # NegExts : 0
% 417.46/300.05 # Equation resolutions : 0
% 417.46/300.05 # Total rewrite steps : 144
% 417.46/300.05 # Propositional unsat checks : 0
% 417.46/300.05 # Propositional check models : 0
% 417.46/300.05 # Propositional check unsatisfiable : 0
% 417.46/300.05 # Propositional clauses : 0
% 417.46/300.05 # Propositional clauses after purity: 0
% 417.46/300.05 # Propositional unsat core size : 0
% 417.46/300.05 # Propositional preprocessing time : 0.000
% 417.46/300.05 # Propositional encoding time : 0.000
% 417.46/300.05 # Propositional solver time : 0.000
% 417.46/300.05 # Success case prop preproc time : 0.000
% 417.46/300.05 # Success case prop encoding time : 0.000
% 417.46/300.05 # Success case prop solver time : 0.000
% 417.46/300.05 # Current number of processed clauses : 476
% 417.46/300.05 # Positive orientable unit clauses : 3
% 417.46/300.05 # Positive unorientable unit clauses: 0
% 417.46/300.05 # Negative unit clauses : 14
% 417.46/300.05 # Non-unit-clauses : 459
% 417.46/300.05 # Current number of unprocessed clauses: 2152
% 417.46/300.05 # ...number of literals in the above : 20693
% 417.46/300.05 # Current number of archived formulas : 0
% 417.46/300.05 # Current number of archived clauses : 673
% 417.46/300.05 # Clause-clause subsumption calls (NU) : 289680
% 417.46/300.05 # Rec. Clause-clause subsumption calls : 5871
% 417.46/300.05 # Non-unit clause-clause subsumptions : 2070
% 417.46/300.05 # Unit Clause-clause subsumption calls : 7137
% 417.46/300.05 # Rewrite failures with RHS unbound : 0
% 417.46/300.05 # BW rewrite match attempts : 2
% 417.46/300.05 # BW rewrite match successes : 2
% 417.46/300.05 # Condensation attempts : 0
% 417.46/300.05 # Condensation successes : 0
% 417.46/300.05 # Termbank termtop insertions : 105017
% 417.46/300.05
% 417.46/300.05 # -------------------------------------------------
% 417.46/300.05 # User time : 0.232 s
% 417.46/300.05 # System time : 0.011 s
% 417.46/300.05 # Total time : 0.244 s
% 417.46/300.05 # Maximum resident set size: 1808 pages
% 417.46/300.05
% 417.46/300.05 # -------------------------------------------------
% 417.46/300.05 # User time : 0.234 s
% 417.46/300.05 # System time : 0.014 s
% 417.46/300.05 # Total time : 0.249 s
% 417.46/300.05 # Maximum resident set size: 1744 pages
% 417.46/300.05 % E---3.1 exiting
% 417.46/300.05 % E---3.1 exiting
%------------------------------------------------------------------------------