%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN067-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:22:50 PM UTC 2026
% Result : Unsatisfiable 3.83s 1.15s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 54
% Syntax : Number of formulae : 347 ( 13 unt; 0 def)
% Number of atoms : 1886 ( 0 equ)
% Maximal formula atoms : 9 ( 5 avg)
% Number of connectives : 2452 ( 913 ~;1525 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-1 aty)
% Number of variables : 516 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_72,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_r(c2,c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_72) ).
cnf(clause_60,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_p(c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_60) ).
cnf(clause_67,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_r(c2,c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_67) ).
cnf(clause_55,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_55) ).
cnf(clause_66,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_r(c2,c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_66) ).
cnf(clause_54,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_p(c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_54) ).
cnf(clause_1,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_3,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_7,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_8,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_9,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_13,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_14,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_15,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_37,negated_conjecture,
( big_p(a)
| big_p(a)
| big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_37) ).
cnf(clause_4,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_5,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_6,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_10,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_11,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_12,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_16,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_17,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_18,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_79,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_r(c4,c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_79) ).
cnf(clause_22,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_p(f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_84,negated_conjecture,
( ~ big_r(X6,X5)
| ~ big_r(c4,X6)
| ~ big_p(X5)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_84) ).
cnf(clause_28,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(X2,f1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
cnf(clause_34,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(f1(X2),f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
cnf(clause_23,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_p(f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_29,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(X2,f1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
cnf(clause_35,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(f1(X2),f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
cnf(clause_24,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_p(f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_30,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(X2,f1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
cnf(clause_36,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(f1(X2),f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
cnf(clause_78,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_p(c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_78) ).
cnf(clause_31,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(f1(X2),f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
cnf(clause_25,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(X2,f1(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_19,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_p(f2(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(c_0_40,plain,
( ~ epred5_0
<=> ! [X1,X2] :
( ~ big_r(c2,X2)
| ~ big_r(X2,X1)
| ~ big_p(X1) ) ),
introduced(definition) ).
fof(c_0_41,plain,
( ~ epred16_0
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| big_r(f1(X2),f2(X2)) ) ),
introduced(definition) ).
cnf(c_0_42,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(c2,X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(f1(X1),f2(X1))
| epred16_0 ),
inference(split_equiv,[status(thm)],[c_0_41]) ).
fof(c_0_44,plain,
( ~ epred14_0
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| big_r(X2,f1(X2)) ) ),
introduced(definition) ).
cnf(c_0_45,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_r(c2,c1) ),
inference(fof_simplification,[status(thm)],[clause_72]) ).
fof(c_0_46,plain,
( ~ epred17_0
<=> ! [X3,X2] :
( ~ big_r(X3,X2)
| ~ big_p(X2)
| big_r(f5(X3),f6(X3)) ) ),
introduced(definition) ).
cnf(c_0_47,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(f2(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f1(X1))
| epred5_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,f1(X1))
| epred14_0 ),
inference(split_equiv,[status(thm)],[c_0_44]) ).
fof(c_0_49,plain,
( ~ epred10_0
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| big_p(f2(X2)) ) ),
introduced(definition) ).
cnf(c_0_50,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_p(c1) ),
inference(fof_simplification,[status(thm)],[clause_60]) ).
cnf(c_0_51,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_r(c2,c1) ),
c_0_45 ).
fof(c_0_52,plain,
( ~ epred7_0
<=> ! [X2] :
( big_r(f3(X2),f4(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_53,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(f5(X1),f6(X1))
| epred17_0 ),
inference(split_equiv,[status(thm)],[c_0_46]) ).
fof(c_0_54,plain,
( ~ epred15_0
<=> ! [X3,X2] :
( ~ big_r(X3,X2)
| ~ big_p(X2)
| big_r(X3,f5(X3)) ) ),
introduced(definition) ).
cnf(c_0_55,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(f2(c2))
| ~ big_r(c2,X1)
| epred5_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_56,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(f2(X1))
| epred10_0 ),
inference(split_equiv,[status(thm)],[c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c4,X2)
| ~ big_p(X1)
| ~ big_p(c2)
| big_p(c1) ),
c_0_50 ).
cnf(c_0_58,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,X1)
| big_r(c2,c1) ),
inference(condense,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
( big_p(X1)
| big_r(f3(X1),f4(X1))
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_52]) ).
fof(c_0_60,plain,
( ~ epred3_0
<=> ! [X2] :
( big_r(X2,f3(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_61,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f5(X1))
| epred5_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_53]) ).
cnf(c_0_62,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_r(X1,f5(X1))
| epred15_0 ),
inference(split_equiv,[status(thm)],[c_0_54]) ).
fof(c_0_63,plain,
( ~ epred12_0
<=> ! [X3,X2] :
( ~ big_r(X3,X2)
| ~ big_p(X2)
| big_p(f6(X3)) ) ),
introduced(definition) ).
fof(c_0_64,plain,
( ~ epred8_0
<=> ! [X1] :
( big_r(f1(X1),f2(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_65,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X1)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56])]) ).
cnf(c_0_66,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,X1)
| big_p(c1) ),
inference(condense,[status(thm)],[c_0_57]) ).
cnf(c_0_67,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f4(X1))
| ~ big_r(c4,f3(X1))
| big_p(X1)
| big_r(c2,c1)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_68,negated_conjecture,
( big_p(X1)
| big_r(X1,f3(X1))
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_60]) ).
fof(c_0_69,plain,
( ~ epred1_0
<=> ! [X2] :
( big_p(f4(X2))
| big_p(X2) ) ),
introduced(definition) ).
cnf(c_0_70,negated_conjecture,
( ~ big_p(f4(X1))
| ~ big_r(c2,f3(X1))
| big_p(X1)
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_59]) ).
cnf(c_0_71,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(f6(c2))
| ~ big_r(c2,X1)
| epred5_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_72,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| big_p(f6(X1))
| epred12_0 ),
inference(split_equiv,[status(thm)],[c_0_63]) ).
cnf(c_0_73,negated_conjecture,
( big_p(X1)
| big_r(f1(X1),f2(X1))
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_64]) ).
fof(c_0_74,plain,
( ~ epred6_0
<=> ! [X1] :
( big_r(X1,f1(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_75,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,X1)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_58]),c_0_66]) ).
cnf(c_0_76,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_r(c2,c1) ),
inference(fof_simplification,[status(thm)],[clause_67]) ).
cnf(c_0_77,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1) ),
inference(fof_simplification,[status(thm)],[clause_55]) ).
cnf(c_0_78,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_r(c2,c1) ),
inference(fof_simplification,[status(thm)],[clause_66]) ).
cnf(c_0_79,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_p(c1) ),
inference(fof_simplification,[status(thm)],[clause_54]) ).
cnf(c_0_80,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f4(c4))
| big_p(c4)
| big_r(c2,c1)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_81,negated_conjecture,
( big_p(X1)
| big_p(f4(X1))
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_69]) ).
cnf(c_0_82,negated_conjecture,
( ~ big_p(f4(c2))
| big_p(c2)
| epred3_0
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_68]) ).
cnf(c_0_83,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f4(X1))
| ~ big_r(c4,f3(X1))
| big_p(X1)
| big_p(c1)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_59]) ).
cnf(c_0_84,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c2,X1)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72])]) ).
cnf(c_0_85,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f2(X1))
| ~ big_r(c4,f1(X1))
| big_p(X1)
| big_r(c2,c1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_58,c_0_73]) ).
cnf(c_0_86,negated_conjecture,
( big_p(X1)
| big_r(X1,f1(X1))
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_74]) ).
fof(c_0_87,plain,
( ~ epred2_0
<=> ! [X1] :
( big_p(f2(X1))
| big_p(X1) ) ),
introduced(definition) ).
cnf(c_0_88,negated_conjecture,
( ~ big_p(f2(X1))
| ~ big_r(c2,f1(X1))
| big_p(X1)
| epred5_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_42,c_0_73]) ).
cnf(c_0_89,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_90,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,f1(X1))
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_43]),c_0_56]) ).
cnf(c_0_91,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_r(c2,c1) ),
c_0_76 ).
cnf(c_0_92,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_r(c4,c3)
| big_p(c1) ),
c_0_77 ).
cnf(c_0_93,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_r(c2,c1) ),
c_0_78 ).
cnf(c_0_94,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| big_p(c3)
| big_p(c1) ),
c_0_79 ).
cnf(c_0_95,negated_conjecture,
( ~ big_p(c2)
| big_p(c4)
| big_r(c2,c1)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_96,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred5_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_81]) ).
cnf(c_0_97,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f4(c4))
| big_p(c1)
| big_p(c4)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_83,c_0_68]) ).
cnf(c_0_98,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_2]) ).
cnf(c_0_99,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_3]) ).
cnf(c_0_100,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_7]) ).
cnf(c_0_101,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_8]) ).
cnf(c_0_102,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_9]) ).
cnf(c_0_103,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_13]) ).
cnf(c_0_104,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_14]) ).
cnf(c_0_105,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_15]) ).
cnf(c_0_106,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,X1)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_58]),c_0_66]) ).
cnf(c_0_107,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f2(c4))
| big_p(c4)
| big_r(c2,c1)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_108,negated_conjecture,
( big_p(X1)
| big_p(f2(X1))
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_87]) ).
cnf(c_0_109,negated_conjecture,
( ~ big_p(f2(c2))
| big_p(c2)
| epred5_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_88,c_0_86]) ).
cnf(c_0_110,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f2(X1))
| ~ big_r(c4,f1(X1))
| big_p(X1)
| big_p(c1)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_66,c_0_73]) ).
cnf(c_0_111,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
c_0_89 ).
cnf(c_0_112,negated_conjecture,
big_p(a),
inference(fof_simplification,[status(thm)],[clause_37]) ).
cnf(c_0_113,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c2)
| ~ big_r(c4,X1)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_48])]) ).
cnf(c_0_114,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c4,c3)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_91]),c_0_92]) ).
cnf(c_0_115,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_93]),c_0_94]) ).
cnf(c_0_116,negated_conjecture,
( ~ big_p(c1)
| big_p(c4)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_95]),c_0_96]) ).
cnf(c_0_117,negated_conjecture,
( ~ big_p(c2)
| big_p(c4)
| big_p(c1)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_97,c_0_81]) ).
cnf(c_0_118,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
c_0_98 ).
cnf(c_0_119,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_p(f2(X1))
| big_p(X1) ),
c_0_99 ).
cnf(c_0_120,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_100 ).
cnf(c_0_121,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_101 ).
cnf(c_0_122,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_102 ).
cnf(c_0_123,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_p(f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_103 ).
cnf(c_0_124,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_104 ).
cnf(c_0_125,negated_conjecture,
( ~ big_p(a)
| ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_105 ).
cnf(c_0_126,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c2)
| ~ big_r(X1,X2)
| ~ big_r(c4,f5(X1))
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_53]),c_0_72]) ).
cnf(c_0_127,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_4]) ).
cnf(c_0_128,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_129,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_6]) ).
cnf(c_0_130,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_10]) ).
cnf(c_0_131,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_11]) ).
cnf(c_0_132,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_12]) ).
cnf(c_0_133,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_16]) ).
cnf(c_0_134,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_17]) ).
cnf(c_0_135,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_18]) ).
cnf(c_0_136,negated_conjecture,
( ~ big_p(c2)
| big_p(c4)
| big_r(c2,c1)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_137,negated_conjecture,
( big_p(c2)
| epred2_0
| epred5_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_109,c_0_108]) ).
cnf(c_0_138,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(f2(c4))
| big_p(c1)
| big_p(c4)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_110,c_0_86]) ).
cnf(c_0_139,negated_conjecture,
( ~ big_p(a)
| big_p(f4(X2))
| big_p(f2(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_111]) ).
cnf(c_0_140,negated_conjecture,
big_p(a),
c_0_112 ).
cnf(c_0_141,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_115]) ).
cnf(c_0_142,negated_conjecture,
( big_p(c4)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_96]) ).
cnf(c_0_143,negated_conjecture,
( ~ big_p(a)
| big_r(X2,f3(X2))
| big_p(f2(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_118]) ).
cnf(c_0_144,negated_conjecture,
( ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_p(f2(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_119]) ).
cnf(c_0_145,negated_conjecture,
( ~ big_p(a)
| big_r(X1,f1(X1))
| big_p(f4(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_120]) ).
cnf(c_0_146,negated_conjecture,
( ~ big_p(a)
| big_r(X1,f1(X1))
| big_r(X2,f3(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_121]) ).
cnf(c_0_147,negated_conjecture,
( ~ big_p(a)
| big_r(f3(X2),f4(X2))
| big_r(X1,f1(X1))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_122]) ).
cnf(c_0_148,negated_conjecture,
( ~ big_p(a)
| big_r(f1(X1),f2(X1))
| big_p(f4(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_123]) ).
cnf(c_0_149,negated_conjecture,
( ~ big_p(a)
| big_r(f1(X1),f2(X1))
| big_r(X2,f3(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_124]) ).
cnf(c_0_150,negated_conjecture,
( ~ big_p(a)
| big_r(f1(X1),f2(X1))
| big_r(f3(X2),f4(X2))
| big_p(X1)
| big_p(X2) ),
inference(cn,[status(thm)],[c_0_125]) ).
fof(c_0_151,plain,
( ~ epred13_0
<=> ! [X5,X6] :
( ~ big_r(c4,X6)
| ~ big_r(X6,X5)
| ~ big_p(X5) ) ),
introduced(definition) ).
cnf(c_0_152,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_r(c4,c3) ),
inference(fof_simplification,[status(thm)],[clause_79]) ).
cnf(c_0_153,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c2)
| ~ big_r(c4,X1)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_126,c_0_62])]) ).
cnf(c_0_154,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c4,c3)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_91]),c_0_92]) ).
cnf(c_0_155,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_93]),c_0_94]) ).
cnf(c_0_156,negated_conjecture,
( ~ big_p(c1)
| big_p(c4)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_95]),c_0_96]) ).
cnf(c_0_157,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
c_0_127 ).
cnf(c_0_158,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_p(f2(X1))
| big_p(X1) ),
c_0_128 ).
cnf(c_0_159,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
c_0_129 ).
cnf(c_0_160,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_130 ).
cnf(c_0_161,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_131 ).
cnf(c_0_162,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
c_0_132 ).
cnf(c_0_163,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_p(f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_133 ).
cnf(c_0_164,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(X3,f5(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_134 ).
cnf(c_0_165,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(X2)
| ~ big_p(a)
| ~ big_p(a)
| big_r(f5(X3),f6(X3))
| big_r(f1(X1),f2(X1))
| big_p(X1) ),
c_0_135 ).
cnf(c_0_166,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_p(f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_22]) ).
cnf(c_0_167,negated_conjecture,
( ~ big_r(X6,X5)
| ~ big_r(c4,X6)
| ~ big_p(X5)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1) ),
inference(fof_simplification,[status(thm)],[clause_84]) ).
cnf(c_0_168,negated_conjecture,
( ~ big_p(c1)
| big_p(c4)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_136]),c_0_137]) ).
cnf(c_0_169,negated_conjecture,
( ~ big_p(c2)
| big_p(c4)
| big_p(c1)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_138,c_0_108]) ).
cnf(c_0_170,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_139,c_0_140])]),c_0_69]),c_0_87]) ).
cnf(c_0_171,negated_conjecture,
( epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_96]),c_0_142]) ).
cnf(c_0_172,negated_conjecture,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_140])]),c_0_60]),c_0_87]) ).
cnf(c_0_173,negated_conjecture,
( ~ epred2_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_144,c_0_140])]),c_0_52]),c_0_87]) ).
cnf(c_0_174,negated_conjecture,
( ~ epred1_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_145,c_0_140])]),c_0_74]),c_0_69]) ).
cnf(c_0_175,negated_conjecture,
( ~ epred3_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_146,c_0_140])]),c_0_74]),c_0_60]) ).
cnf(c_0_176,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_140])]),c_0_52]),c_0_74]) ).
cnf(c_0_177,negated_conjecture,
( ~ epred1_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_140])]),c_0_64]),c_0_69]) ).
cnf(c_0_178,negated_conjecture,
( ~ epred3_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_149,c_0_140])]),c_0_64]),c_0_60]) ).
cnf(c_0_179,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_150,c_0_140])]),c_0_64]),c_0_52]) ).
cnf(c_0_180,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(X2,f1(X2)) ),
inference(fof_simplification,[status(thm)],[clause_28]) ).
cnf(c_0_181,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(f1(X2),f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_34]) ).
cnf(c_0_182,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_p(f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_23]) ).
cnf(c_0_183,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(X2,f1(X2)) ),
inference(fof_simplification,[status(thm)],[clause_29]) ).
cnf(c_0_184,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(f1(X2),f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_35]) ).
cnf(c_0_185,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_p(f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_24]) ).
cnf(c_0_186,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(X2,f1(X2)) ),
inference(fof_simplification,[status(thm)],[clause_30]) ).
cnf(c_0_187,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(f1(X2),f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_36]) ).
cnf(c_0_188,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_p(c3) ),
inference(fof_simplification,[status(thm)],[clause_78]) ).
cnf(c_0_189,negated_conjecture,
( ~ big_p(X2)
| ~ big_r(X1,X2)
| ~ big_r(c4,X1)
| epred13_0 ),
inference(split_equiv,[status(thm)],[c_0_151]) ).
cnf(c_0_190,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_r(c4,c3) ),
c_0_152 ).
cnf(c_0_191,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(c2)
| epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_192,negated_conjecture,
( big_p(c4)
| epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_117]),c_0_96]) ).
cnf(c_0_193,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_p(f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_157]) ).
cnf(c_0_194,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X3,f5(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_158]) ).
cnf(c_0_195,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(f5(X3),f6(X3))
| big_p(f2(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_159]) ).
cnf(c_0_196,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X1,f1(X1))
| big_p(f6(X3))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_160]) ).
cnf(c_0_197,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(X1,f1(X1))
| big_r(X3,f5(X3))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_161]) ).
cnf(c_0_198,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(f5(X3),f6(X3))
| big_r(X1,f1(X1))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_162]) ).
cnf(c_0_199,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(f1(X1),f2(X1))
| big_p(f6(X3))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_163]) ).
cnf(c_0_200,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(f1(X1),f2(X1))
| big_r(X3,f5(X3))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_164]) ).
cnf(c_0_201,negated_conjecture,
( ~ big_r(X3,X2)
| ~ big_p(a)
| ~ big_p(X2)
| big_r(f1(X1),f2(X1))
| big_r(f5(X3),f6(X3))
| big_p(X1) ),
inference(cn,[status(thm)],[c_0_165]) ).
cnf(c_0_202,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_p(f2(X2)) ),
c_0_166 ).
cnf(c_0_203,negated_conjecture,
( ~ big_r(X6,X5)
| ~ big_r(c4,X6)
| ~ big_p(X5)
| ~ big_r(X4,X3)
| ~ big_r(c4,X4)
| ~ big_p(X3)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1) ),
c_0_167 ).
cnf(c_0_204,negated_conjecture,
( big_p(c4)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_137]) ).
cnf(c_0_205,negated_conjecture,
( ~ epred2_0
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_172]),c_0_173]) ).
cnf(c_0_206,negated_conjecture,
( ~ epred6_0
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_171]),c_0_175]),c_0_176]) ).
cnf(c_0_207,negated_conjecture,
( ~ epred8_0
| epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_171]),c_0_178]),c_0_179]) ).
cnf(c_0_208,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(X2,f1(X2)) ),
c_0_180 ).
cnf(c_0_209,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f6(X4))
| big_r(f1(X2),f2(X2)) ),
c_0_181 ).
cnf(c_0_210,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_p(f2(X2)) ),
c_0_182 ).
cnf(c_0_211,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(X2,f1(X2)) ),
c_0_183 ).
cnf(c_0_212,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X4,f5(X4))
| big_r(f1(X2),f2(X2)) ),
c_0_184 ).
cnf(c_0_213,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_p(f2(X2)) ),
c_0_185 ).
cnf(c_0_214,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(X2,f1(X2)) ),
c_0_186 ).
cnf(c_0_215,negated_conjecture,
( ~ big_r(X4,X3)
| ~ big_p(X3)
| ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(f5(X4),f6(X4))
| big_r(f1(X2),f2(X2)) ),
c_0_187 ).
cnf(c_0_216,negated_conjecture,
( ~ big_p(c4)
| ~ big_r(X2,X1)
| ~ big_r(c2,X2)
| ~ big_p(X1)
| big_p(c3) ),
c_0_188 ).
cnf(c_0_217,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(f2(X1))
| ~ big_r(X1,X2)
| ~ big_r(c4,f1(X1))
| epred13_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_43]) ).
cnf(c_0_218,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f4(X1))
| ~ big_r(c2,f3(X1))
| big_p(X1)
| big_r(c4,c3)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_59]) ).
cnf(c_0_219,negated_conjecture,
( ~ big_p(f4(X1))
| ~ big_r(c4,f3(X1))
| big_p(X1)
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_59]) ).
cnf(c_0_220,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c4)
| ~ big_p(f2(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f1(X1))
| big_r(c4,c3)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_43]) ).
cnf(c_0_221,negated_conjecture,
( ~ big_p(c1)
| big_p(c4)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_136]),c_0_137]) ).
cnf(c_0_222,negated_conjecture,
( epred1_0
| epred3_0
| epred5_0
| epred7_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_96]),c_0_192]) ).
cnf(c_0_223,negated_conjecture,
( ~ epred2_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_193,c_0_140])]),c_0_63]),c_0_87]) ).
cnf(c_0_224,negated_conjecture,
( ~ epred2_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_140])]),c_0_54]),c_0_87]) ).
cnf(c_0_225,negated_conjecture,
( ~ epred2_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_140])]),c_0_46]),c_0_87]) ).
cnf(c_0_226,negated_conjecture,
( ~ epred6_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_140])]),c_0_74]),c_0_63]) ).
cnf(c_0_227,negated_conjecture,
( ~ epred6_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_140])]),c_0_74]),c_0_54]) ).
cnf(c_0_228,negated_conjecture,
( ~ epred6_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_140])]),c_0_46]),c_0_74]) ).
cnf(c_0_229,negated_conjecture,
( ~ epred8_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_140])]),c_0_64]),c_0_63]) ).
cnf(c_0_230,negated_conjecture,
( ~ epred8_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_140])]),c_0_64]),c_0_54]) ).
cnf(c_0_231,negated_conjecture,
( ~ epred8_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_140])]),c_0_64]),c_0_46]) ).
cnf(c_0_232,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_p(f6(X4))
| big_p(f2(X2)) ),
inference(cn,[status(thm)],[c_0_202]) ).
cnf(c_0_233,negated_conjecture,
( ~ epred5_0
| ~ epred13_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(condense,[status(thm)],[c_0_203]),c_0_151]),c_0_40]) ).
cnf(c_0_234,negated_conjecture,
( epred5_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_137]),c_0_204]),c_0_205]),c_0_206]),c_0_207]) ).
cnf(c_0_235,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X2,f1(X2))
| big_p(f6(X4)) ),
inference(cn,[status(thm)],[c_0_208]) ).
cnf(c_0_236,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f1(X2),f2(X2))
| big_p(f6(X4)) ),
inference(cn,[status(thm)],[c_0_209]) ).
cnf(c_0_237,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X4,f5(X4))
| big_p(f2(X2)) ),
inference(cn,[status(thm)],[c_0_210]) ).
cnf(c_0_238,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(X2,f1(X2))
| big_r(X4,f5(X4)) ),
inference(cn,[status(thm)],[c_0_211]) ).
cnf(c_0_239,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f1(X2),f2(X2))
| big_r(X4,f5(X4)) ),
inference(cn,[status(thm)],[c_0_212]) ).
cnf(c_0_240,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f5(X4),f6(X4))
| big_p(f2(X2)) ),
inference(cn,[status(thm)],[c_0_213]) ).
cnf(c_0_241,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f5(X4),f6(X4))
| big_r(X2,f1(X2)) ),
inference(cn,[status(thm)],[c_0_214]) ).
cnf(c_0_242,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_r(X4,X3)
| ~ big_p(a)
| ~ big_p(X1)
| ~ big_p(X3)
| big_r(f1(X2),f2(X2))
| big_r(f5(X4),f6(X4)) ),
inference(cn,[status(thm)],[c_0_215]) ).
cnf(c_0_243,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c4)
| ~ big_p(f2(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f1(X1))
| big_p(c3)
| epred16_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_43]) ).
cnf(c_0_244,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(f2(c4))
| ~ big_r(c4,X1)
| epred13_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_48])]) ).
cnf(c_0_245,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f4(c2))
| big_p(c2)
| big_r(c4,c3)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_218,c_0_68]) ).
cnf(c_0_246,negated_conjecture,
( ~ big_p(f4(c4))
| big_p(c4)
| epred3_0
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_219,c_0_68]) ).
cnf(c_0_247,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f4(X1))
| ~ big_r(c2,f3(X1))
| big_p(X1)
| big_p(c3)
| epred7_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_59]) ).
cnf(c_0_248,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f2(X1))
| ~ big_r(c2,f1(X1))
| big_p(X1)
| big_r(c4,c3)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_73]) ).
cnf(c_0_249,negated_conjecture,
( ~ big_p(f2(X1))
| ~ big_r(c4,f1(X1))
| big_p(X1)
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_73]) ).
cnf(c_0_250,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_p(f2(c2))
| ~ big_r(c2,X1)
| big_r(c4,c3)
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_48])]) ).
cnf(c_0_251,negated_conjecture,
( big_p(c4)
| epred2_0
| epred5_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_169]),c_0_137]) ).
cnf(c_0_252,negated_conjecture,
( ~ epred2_0
| 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_170,c_0_222]),c_0_172]),c_0_173]),c_0_223]),c_0_224]),c_0_225]) ).
cnf(c_0_253,negated_conjecture,
( ~ epred6_0
| 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_174,c_0_222]),c_0_175]),c_0_176]),c_0_226]),c_0_227]),c_0_228]) ).
cnf(c_0_254,negated_conjecture,
( ~ epred8_0
| 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_177,c_0_222]),c_0_178]),c_0_179]),c_0_229]),c_0_230]),c_0_231]) ).
cnf(c_0_255,negated_conjecture,
( ~ epred10_0
| ~ epred12_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_232,c_0_140])]),c_0_63]),c_0_49]) ).
cnf(c_0_256,negated_conjecture,
( ~ epred13_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(spm,[status(thm)],[c_0_233,c_0_234]) ).
cnf(c_0_257,negated_conjecture,
( ~ epred12_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_140])]),c_0_44]),c_0_63]) ).
cnf(c_0_258,negated_conjecture,
( ~ epred12_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_140])]),c_0_41]),c_0_63]) ).
cnf(c_0_259,negated_conjecture,
( ~ epred10_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_140])]),c_0_54]),c_0_49]) ).
cnf(c_0_260,negated_conjecture,
( ~ epred14_0
| ~ epred15_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_140])]),c_0_44]),c_0_54]) ).
cnf(c_0_261,negated_conjecture,
( ~ epred15_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_140])]),c_0_41]),c_0_54]) ).
cnf(c_0_262,negated_conjecture,
( ~ epred10_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_140])]),c_0_46]),c_0_49]) ).
cnf(c_0_263,negated_conjecture,
( ~ epred14_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_140])]),c_0_46]),c_0_44]) ).
cnf(c_0_264,negated_conjecture,
( ~ epred16_0
| ~ epred17_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_140])]),c_0_41]),c_0_46]) ).
cnf(c_0_265,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_p(f2(c2))
| ~ big_r(c2,X1)
| big_p(c3)
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_48])]) ).
cnf(c_0_266,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c4,X1)
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_56])]) ).
cnf(c_0_267,negated_conjecture,
( ~ big_p(c4)
| big_p(c2)
| big_r(c4,c3)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_245,c_0_81]) ).
cnf(c_0_268,negated_conjecture,
( big_p(c4)
| epred1_0
| epred3_0
| epred7_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_246,c_0_81]) ).
cnf(c_0_269,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f4(c2))
| big_p(c3)
| big_p(c2)
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_247,c_0_68]) ).
cnf(c_0_270,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f2(c2))
| big_p(c2)
| big_r(c4,c3)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_248,c_0_86]) ).
cnf(c_0_271,negated_conjecture,
( ~ big_p(f2(c4))
| big_p(c4)
| epred6_0
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_249,c_0_86]) ).
cnf(c_0_272,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f2(X1))
| ~ big_r(c2,f1(X1))
| big_p(X1)
| big_p(c3)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_73]) ).
cnf(c_0_273,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_r(c2,X1)
| big_r(c4,c3)
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_250,c_0_56])]) ).
cnf(c_0_274,negated_conjecture,
( epred5_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_191,c_0_137]),c_0_251]),c_0_252]),c_0_253]),c_0_254]) ).
cnf(c_0_275,negated_conjecture,
( ~ epred12_0
| ~ epred13_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_256]),c_0_257]),c_0_258]) ).
cnf(c_0_276,negated_conjecture,
( ~ epred13_0
| ~ epred15_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_256]),c_0_260]),c_0_261]) ).
cnf(c_0_277,negated_conjecture,
( ~ epred13_0
| ~ epred17_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_256]),c_0_263]),c_0_264]) ).
cnf(c_0_278,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_r(c2,X1)
| big_p(c3)
| epred10_0
| epred14_0
| epred16_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_265,c_0_56])]) ).
cnf(c_0_279,negated_conjecture,
( ~ big_p(c3)
| big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_267]),c_0_268]) ).
cnf(c_0_280,negated_conjecture,
( ~ big_p(c4)
| big_p(c2)
| big_p(c3)
| epred1_0
| epred3_0
| epred7_0 ),
inference(spm,[status(thm)],[c_0_269,c_0_81]) ).
cnf(c_0_281,negated_conjecture,
( ~ big_p(c4)
| big_p(c2)
| big_r(c4,c3)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_270,c_0_108]) ).
cnf(c_0_282,negated_conjecture,
( big_p(c4)
| epred2_0
| epred6_0
| epred8_0
| epred13_0 ),
inference(spm,[status(thm)],[c_0_271,c_0_108]) ).
cnf(c_0_283,negated_conjecture,
( ~ big_p(c4)
| ~ big_p(f2(c2))
| big_p(c3)
| big_p(c2)
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_272,c_0_86]) ).
cnf(c_0_284,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c4,c3)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_91]),c_0_92]) ).
cnf(c_0_285,negated_conjecture,
~ epred13_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_233,c_0_274]),c_0_275]),c_0_276]),c_0_277]) ).
cnf(c_0_286,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_93]),c_0_94]) ).
cnf(c_0_287,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280]),c_0_268]) ).
cnf(c_0_288,negated_conjecture,
( ~ big_p(c3)
| big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_281]),c_0_282]) ).
cnf(c_0_289,negated_conjecture,
( ~ big_p(c4)
| big_p(c2)
| big_p(c3)
| epred2_0
| epred6_0
| epred8_0 ),
inference(spm,[status(thm)],[c_0_283,c_0_108]) ).
cnf(c_0_290,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_284]),c_0_285]),c_0_286]) ).
cnf(c_0_291,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(sr,[status(thm)],[c_0_287,c_0_285]) ).
cnf(c_0_292,negated_conjecture,
( big_p(c4)
| epred1_0
| epred3_0
| epred7_0 ),
inference(sr,[status(thm)],[c_0_268,c_0_285]) ).
cnf(c_0_293,negated_conjecture,
( big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred10_0
| epred13_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_288,c_0_289]),c_0_282]) ).
cnf(c_0_294,negated_conjecture,
( epred1_0
| epred3_0
| epred7_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_291]),c_0_292]) ).
cnf(c_0_295,negated_conjecture,
( big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(sr,[status(thm)],[c_0_293,c_0_285]) ).
cnf(c_0_296,negated_conjecture,
( big_p(c4)
| epred2_0
| epred6_0
| epred8_0 ),
inference(sr,[status(thm)],[c_0_282,c_0_285]) ).
cnf(c_0_297,negated_conjecture,
( ~ epred2_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_294]),c_0_172]),c_0_173]) ).
cnf(c_0_298,negated_conjecture,
( ~ epred6_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_294]),c_0_175]),c_0_176]) ).
cnf(c_0_299,negated_conjecture,
( ~ epred8_0
| epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_294]),c_0_178]),c_0_179]) ).
cnf(c_0_300,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_r(c4,f5(X1))
| epred13_0
| epred17_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_53]) ).
cnf(c_0_301,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c4)
| ~ big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f5(X1))
| big_r(c4,c3)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_190,c_0_53]) ).
cnf(c_0_302,negated_conjecture,
( epred10_0
| epred14_0
| epred16_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_290,c_0_295]),c_0_296]),c_0_297]),c_0_298]),c_0_299]) ).
cnf(c_0_303,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(f6(c4))
| ~ big_r(c4,X1)
| epred13_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_300,c_0_62])]) ).
cnf(c_0_304,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_p(f6(c2))
| ~ big_r(c2,X1)
| big_r(c4,c3)
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_62])]) ).
cnf(c_0_305,negated_conjecture,
~ epred17_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_262,c_0_302]),c_0_263]),c_0_264]) ).
cnf(c_0_306,negated_conjecture,
~ epred15_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_302]),c_0_260]),c_0_261]) ).
cnf(c_0_307,negated_conjecture,
~ epred12_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_255,c_0_302]),c_0_257]),c_0_258]) ).
cnf(c_0_308,negated_conjecture,
( ~ big_p(X2)
| ~ big_p(c4)
| ~ big_p(f6(X1))
| ~ big_r(X1,X2)
| ~ big_r(c2,f5(X1))
| big_p(c3)
| epred17_0 ),
inference(spm,[status(thm)],[c_0_216,c_0_53]) ).
cnf(c_0_309,negated_conjecture,
( ~ big_p(X1)
| ~ big_r(c4,X1)
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_72])]) ).
cnf(c_0_310,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_r(c2,X1)
| big_r(c4,c3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_304,c_0_72])]),c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_311,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_p(f6(c2))
| ~ big_r(c2,X1)
| big_p(c3)
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_308,c_0_62])]) ).
cnf(c_0_312,negated_conjecture,
( ~ big_p(c3)
| big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_281]),c_0_282]) ).
cnf(c_0_313,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_r(c4,c3) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_91]),c_0_92]) ).
cnf(c_0_314,negated_conjecture,
( ~ big_p(X1)
| ~ big_p(c4)
| ~ big_r(c2,X1)
| big_p(c3)
| epred12_0
| epred15_0
| epred17_0 ),
inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_311,c_0_72])]) ).
cnf(c_0_315,negated_conjecture,
( big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_312,c_0_289]),c_0_282]) ).
cnf(c_0_316,negated_conjecture,
( ~ big_p(c3)
| big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_267]),c_0_268]) ).
cnf(c_0_317,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| ~ big_p(c3) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_313]),c_0_305]),c_0_306]),c_0_285]),c_0_307]) ).
cnf(c_0_318,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4)
| big_p(c3)
| epred12_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_93]),c_0_94]) ).
cnf(c_0_319,negated_conjecture,
( big_p(c2)
| epred2_0
| epred6_0
| epred8_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(sr,[status(thm)],[c_0_315,c_0_285]) ).
cnf(c_0_320,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred12_0
| epred13_0
| epred15_0
| epred17_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_316,c_0_280]),c_0_268]) ).
cnf(c_0_321,negated_conjecture,
( ~ big_p(c2)
| ~ big_p(c4) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_305]),c_0_306]),c_0_307]) ).
cnf(c_0_322,negated_conjecture,
( big_p(c2)
| epred2_0
| epred6_0
| epred8_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_319,c_0_307]),c_0_305]),c_0_306]) ).
cnf(c_0_323,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(f1(X2),f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_31]) ).
cnf(c_0_324,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred7_0
| epred12_0
| epred15_0
| epred17_0 ),
inference(sr,[status(thm)],[c_0_320,c_0_285]) ).
cnf(c_0_325,negated_conjecture,
( epred2_0
| epred6_0
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_322]),c_0_296]) ).
cnf(c_0_326,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(X2,f1(X2)) ),
inference(fof_simplification,[status(thm)],[clause_25]) ).
cnf(c_0_327,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_p(f2(X2)) ),
inference(fof_simplification,[status(thm)],[clause_19]) ).
cnf(c_0_328,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(f1(X2),f2(X2)) ),
c_0_323 ).
cnf(c_0_329,negated_conjecture,
( big_p(c2)
| epred1_0
| epred3_0
| epred7_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_324,c_0_307]),c_0_305]),c_0_306]) ).
cnf(c_0_330,negated_conjecture,
~ epred3_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_325]),c_0_175]),c_0_178]) ).
cnf(c_0_331,negated_conjecture,
~ epred7_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_325]),c_0_176]),c_0_179]) ).
cnf(c_0_332,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_r(X2,f1(X2)) ),
c_0_326 ).
cnf(c_0_333,negated_conjecture,
( ~ big_p(a)
| ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(f4(X3))
| big_p(X3)
| big_p(f2(X2)) ),
c_0_327 ).
cnf(c_0_334,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X1)
| big_r(f1(X2),f2(X2))
| big_p(f4(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_328]) ).
cnf(c_0_335,negated_conjecture,
( big_p(c2)
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_329,c_0_330]),c_0_331]) ).
cnf(c_0_336,negated_conjecture,
( big_p(c4)
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_292,c_0_330]),c_0_331]) ).
cnf(c_0_337,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X1)
| big_r(X2,f1(X2))
| big_p(f4(X3))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_332]) ).
cnf(c_0_338,negated_conjecture,
( ~ big_r(X2,X1)
| ~ big_p(a)
| ~ big_p(X1)
| big_p(f4(X3))
| big_p(f2(X2))
| big_p(X3) ),
inference(cn,[status(thm)],[c_0_333]) ).
cnf(c_0_339,negated_conjecture,
( ~ epred1_0
| ~ epred16_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_140])]),c_0_41]),c_0_69]) ).
cnf(c_0_340,negated_conjecture,
epred1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_321,c_0_335]),c_0_336]) ).
cnf(c_0_341,negated_conjecture,
( ~ epred1_0
| ~ epred14_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_337,c_0_140])]),c_0_44]),c_0_69]) ).
cnf(c_0_342,negated_conjecture,
( ~ epred1_0
| ~ epred10_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_338,c_0_140])]),c_0_69]),c_0_49]) ).
cnf(c_0_343,negated_conjecture,
~ epred16_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_340])]) ).
cnf(c_0_344,negated_conjecture,
~ epred14_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_340])]) ).
cnf(c_0_345,negated_conjecture,
~ epred10_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_342,c_0_340])]) ).
cnf(c_0_346,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_302,c_0_343]),c_0_344]),c_0_345]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN067-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.56 % Computer : n001.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Mon Sep 21 10:47:30 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.56 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.61 Running first-order theorem proving
% 0.11/0.61 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/benchmark/theBenchmark.p
% 3.83/1.15 % Version: 3.5.1
% 3.83/1.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/1.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/1.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/1.15 % Starting new_bool_3 with 300s (1) cores
% 3.83/1.15 % Starting new_bool_1 with 300s (1) cores
% 3.83/1.15 % Starting sh5l with 300s (1) cores
% 3.83/1.15 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 2920517 completed with status 0
% 3.83/1.15 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 3.83/1.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/1.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/1.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/1.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.83/1.15 % No SInE strategy applied
% 3.83/1.15 % Search class: FGHNF-FSMS11-SFFFFFNN
% 3.83/1.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/1.15 % Starting SubtermCWHack with 136s (1) cores
% 3.83/1.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.83/1.15 % Starting G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with 136s (1) cores
% 3.83/1.15 % Starting new_bool_3 with 136s (1) cores
% 3.83/1.15 % Starting new_bool_1 with 136s (1) cores
% 3.83/1.15 % G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with pid 2920524 completed with status 0
% 3.83/1.15 % Result found by G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00
% 3.83/1.15 % Preprocessing class: FSLSSMSSSSSNFFN.
% 3.83/1.15 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/1.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 3.83/1.15 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 3.83/1.15 % No SInE strategy applied
% 3.83/1.15 % Search class: FGHNF-FSMS11-SFFFFFNN
% 3.83/1.15 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/1.15 % Starting SubtermCWHack with 136s (1) cores
% 3.83/1.15 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 3.83/1.15 % Starting G-E--_207_C18_F1_AE_Q7_CS_SP_CO_PS_S00 with 136s (1) cores
% 3.83/1.15 % Preprocessing time : 0.003 s
% 3.83/1.15 % Presaturation interreduction done
% 3.83/1.15
% 3.83/1.15 % Proof found!
% 3.83/1.15 % SZS status Unsatisfiable
% 3.83/1.15 % SZS output start CNFRefutation
% See solution above
% 3.83/1.15 % Parsed axioms : 84
% 3.83/1.15 % Removed by relevancy pruning/SinE : 0
% 3.83/1.15 % Initial clauses : 84
% 3.83/1.15 % Removed in clause preprocessing : 0
% 3.83/1.15 % Initial clauses in saturation : 84
% 3.83/1.15 % Processed clauses : 2262
% 3.83/1.15 % ...of these trivial : 29
% 3.83/1.15 % ...subsumed : 1142
% 3.83/1.15 % ...remaining for further processing : 1090
% 3.83/1.15 % Other redundant clauses eliminated : 0
% 3.83/1.15 % Clauses deleted for lack of memory : 0
% 3.83/1.15 % Backward-subsumed : 440
% 3.83/1.15 % Backward-rewritten : 95
% 3.83/1.15 % Generated clauses : 4171
% 3.83/1.15 % ...of the previous two non-redundant : 3295
% 3.83/1.15 % ...aggressively subsumed : 0
% 3.83/1.15 % Contextual simplify-reflections : 332
% 3.83/1.15 % Paramodulations : 4095
% 3.83/1.15 % Factorizations : 0
% 3.83/1.15 % NegExts : 0
% 3.83/1.15 % Equation resolutions : 0
% 3.83/1.15 % Disequality decompositions : 0
% 3.83/1.15 % Total rewrite steps : 160
% 3.83/1.15 % ...of those cached : 157
% 3.83/1.15 % Propositional unsat checks : 0
% 3.83/1.15 % Propositional check models : 0
% 3.83/1.15 % Propositional check unsatisfiable : 0
% 3.83/1.15 % Propositional clauses : 0
% 3.83/1.15 % Propositional clauses after purity: 0
% 3.83/1.15 % Propositional unsat core size : 0
% 3.83/1.15 % Propositional preprocessing time : 0.000
% 3.83/1.15 % Propositional encoding time : 0.000
% 3.83/1.15 % Propositional solver time : 0.000
% 3.83/1.15 % Success case prop preproc time : 0.000
% 3.83/1.15 % Success case prop encoding time : 0.000
% 3.83/1.15 % Success case prop solver time : 0.000
% 3.83/1.15 % Current number of processed clauses : 430
% 3.83/1.15 % Positive orientable unit clauses : 3
% 3.83/1.15 % Positive unorientable unit clauses: 0
% 3.83/1.15 % Negative unit clauses : 14
% 3.83/1.15 % Non-unit-clauses : 413
% 3.83/1.15 % Current number of unprocessed clauses: 779
% 3.83/1.15 % ...number of literals in the above : 6895
% 3.83/1.15 % Current number of archived formulas : 0
% 3.83/1.15 % Current number of archived clauses : 620
% 3.83/1.15 % Clause-clause subsumption calls (NU) : 327339
% 3.83/1.15 % Rec. Clause-clause subsumption calls : 8143
% 3.83/1.15 % Non-unit clause-clause subsumptions : 2074
% 3.83/1.15 % Unit Clause-clause subsumption calls : 6784
% 3.83/1.15 % Rewrite failures with RHS unbound : 0
% 3.83/1.15 % BW rewrite match attempts : 2
% 3.83/1.15 % BW rewrite match successes : 2
% 3.83/1.15 % Condensation attempts : 2262
% 3.83/1.15 % Condensation successes : 96
% 3.83/1.15 % Termbank termtop insertions : 146676
% 3.83/1.15 % Search garbage collected termcells : 288
% 3.83/1.15
% 3.83/1.15 % -------------------------------------------------
% 3.83/1.15 % User time : 0.500 s
% 3.83/1.15 % System time : 0.009 s
% 3.83/1.15 % Total time : 0.509 s
% 3.83/1.15 % Maximum resident set size: 3700 pages
% 3.83/1.15
% 3.83/1.15 % -------------------------------------------------
% 3.83/1.15 % User time : 2.443 s
% 3.83/1.15 % System time : 0.056 s
% 3.83/1.15 % Total time : 2.499 s
% 3.83/1.15 % Maximum resident set size: 4864 pages
% 3.83/1.15 % E exiting
%------------------------------------------------------------------------------