TSTP Solution File: SYN784-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN784-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:54:49 EDT 2023
% Result : Unsatisfiable 0.21s 0.71s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 41
% Syntax : Number of formulae : 394 ( 6 unt; 7 typ; 0 def)
% Number of atoms : 1774 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 2535 (1148 ~;1387 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 7 >; 1 *; 0 +; 0 <<)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 637 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
skf3: $i > $i ).
tff(decl_23,type,
ssRr: ( $i * $i ) > $o ).
tff(decl_24,type,
skf2: $i > $i ).
tff(decl_25,type,
ssPv4: $i > $o ).
tff(decl_26,type,
ssPv2: $i > $o ).
tff(decl_27,type,
ssPv3: $i > $o ).
tff(decl_28,type,
ssPv1: $i > $o ).
cnf(clause40,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
cnf(clause2,negated_conjecture,
ssRr(X1,skf2(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause6,negated_conjecture,
( ssPv1(X2)
| ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause18,negated_conjecture,
( ssPv3(X3)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
cnf(clause1,negated_conjecture,
ssRr(skf3(X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause42,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause5,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause14,negated_conjecture,
( ssPv4(X3)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(clause19,negated_conjecture,
( ssPv2(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
cnf(clause3,negated_conjecture,
( ssPv4(X1)
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause10,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause4,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause21,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
cnf(clause9,negated_conjecture,
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause16,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause7,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause15,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause25,negated_conjecture,
( ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
cnf(clause20,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
cnf(clause12,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause23,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
cnf(clause41,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
cnf(clause22,negated_conjecture,
( ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause24,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(clause17,negated_conjecture,
( ssPv4(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(clause8,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause13,negated_conjecture,
( ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
cnf(clause38,negated_conjecture,
( ssPv2(X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(clause39,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv2(X4)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(clause11,negated_conjecture,
( ssPv1(X1)
| ssPv2(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
cnf(clause27,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv2(X4)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause32,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(clause28,negated_conjecture,
( ssPv4(X1)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv4(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
cnf(clause34,negated_conjecture,
( ssPv4(X3)
| ssPv3(X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(c_0_34,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv1(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
clause40 ).
cnf(c_0_35,negated_conjecture,
ssRr(X1,skf2(X1)),
clause2 ).
cnf(c_0_36,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(skf2(X2))
| ~ ssPv3(X3)
| ~ ssRr(skf2(X2),X1)
| ~ ssRr(X3,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_37,negated_conjecture,
( ssPv1(X2)
| ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
clause6 ).
cnf(c_0_38,negated_conjecture,
( ~ ssPv1(skf2(skf2(X1)))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_36,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( ssPv3(X3)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
clause18 ).
cnf(c_0_41,negated_conjecture,
ssRr(skf3(X1),X1),
clause1 ).
cnf(c_0_42,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4)
| ~ ssPv1(X2) ),
clause42 ).
cnf(c_0_43,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause5 ).
cnf(c_0_44,negated_conjecture,
( ssPv4(X3)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
clause14 ).
cnf(c_0_45,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_41]) ).
cnf(c_0_49,negated_conjecture,
( ssPv2(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3) ),
clause19 ).
cnf(c_0_50,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_35]) ).
cnf(c_0_51,negated_conjecture,
( ssPv4(X1)
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2) ),
clause3 ).
cnf(c_0_52,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
clause10 ).
cnf(c_0_53,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_41]) ).
cnf(c_0_54,negated_conjecture,
( ssPv3(skf3(skf2(X1)))
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_55,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
clause4 ).
cnf(c_0_56,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_57,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_58,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_35]) ).
cnf(c_0_59,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X2)
| ssPv2(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_35]) ).
cnf(c_0_60,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_61,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_62,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_55,c_0_35]) ).
cnf(c_0_63,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_35]) ).
cnf(c_0_64,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_35]) ).
cnf(c_0_66,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_68,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_67,c_0_41]) ).
cnf(c_0_70,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf3(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_41]) ).
cnf(c_0_71,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
clause21 ).
cnf(c_0_72,negated_conjecture,
( ssPv2(X1)
| ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
clause9 ).
cnf(c_0_73,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1) ),
clause16 ).
cnf(c_0_74,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf3(X1))
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_41]) ).
cnf(c_0_77,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X2))
| ssPv4(X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_72,c_0_35]) ).
cnf(c_0_78,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_41]) ).
cnf(c_0_79,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
clause7 ).
cnf(c_0_80,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_41]) ).
cnf(c_0_81,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_51]) ).
cnf(c_0_82,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_76,c_0_41]) ).
cnf(c_0_83,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_41]) ).
cnf(c_0_84,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_78,c_0_41]) ).
cnf(c_0_85,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_41]) ).
cnf(c_0_86,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_41]) ).
cnf(c_0_87,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssPv4(X2) ),
clause15 ).
cnf(c_0_88,negated_conjecture,
( ssPv3(X1)
| ssPv3(X2)
| ssPv2(skf3(X2))
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_52,c_0_41]) ).
cnf(c_0_89,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_41]) ).
cnf(c_0_90,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf3(X1))
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_41]) ).
cnf(c_0_91,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_92,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_41]) ).
cnf(c_0_93,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_94,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_95,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssPv2(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_41]) ).
cnf(c_0_97,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_41]) ).
cnf(c_0_98,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_41]) ).
cnf(c_0_99,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_100,negated_conjecture,
( ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssPv3(X2) ),
clause25 ).
cnf(c_0_101,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_35]) ).
cnf(c_0_102,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_39]),c_0_58]) ).
cnf(c_0_103,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_104,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_35]) ).
cnf(c_0_105,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv4(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_96,c_0_41]) ).
cnf(c_0_106,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_41]) ).
cnf(c_0_107,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_98]),c_0_99]) ).
cnf(c_0_108,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_35]) ).
cnf(c_0_109,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_39]) ).
cnf(c_0_111,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_105,c_0_70]) ).
cnf(c_0_112,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_113,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_109]) ).
cnf(c_0_114,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_41]) ).
cnf(c_0_115,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_111]),c_0_112]) ).
cnf(c_0_116,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
clause20 ).
cnf(c_0_117,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_113,c_0_41]) ).
cnf(c_0_118,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_94]) ).
cnf(c_0_119,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause12 ).
cnf(c_0_120,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_116,c_0_35]) ).
cnf(c_0_121,negated_conjecture,
( ssPv1(X1)
| ssPv4(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_118]) ).
cnf(c_0_122,negated_conjecture,
( ssPv2(X1)
| ssPv4(X2)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_119,c_0_35]) ).
cnf(c_0_123,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_110]) ).
cnf(c_0_124,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_35]) ).
cnf(c_0_125,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_123,c_0_41]) ).
cnf(c_0_126,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause23 ).
cnf(c_0_127,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_128,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_87,c_0_35]) ).
cnf(c_0_129,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv1(X2) ),
clause41 ).
cnf(c_0_130,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_35]) ).
cnf(c_0_131,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_127,c_0_66]) ).
cnf(c_0_132,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_35]) ).
cnf(c_0_133,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_129,c_0_35]) ).
cnf(c_0_134,negated_conjecture,
( ssPv1(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_35]) ).
cnf(c_0_135,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_132]),c_0_92]) ).
cnf(c_0_136,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_77,c_0_35]) ).
cnf(c_0_137,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_67,c_0_35]) ).
cnf(c_0_138,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X3,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_139,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv1(skf2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_92]),c_0_60]) ).
cnf(c_0_140,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_135,c_0_137]) ).
cnf(c_0_141,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(skf2(skf2(X1)))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_138,c_0_35]) ).
cnf(c_0_142,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_134]),c_0_140]) ).
cnf(c_0_143,negated_conjecture,
( ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2)
| ~ ssPv3(X2) ),
clause22 ).
cnf(c_0_144,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X1) ),
clause24 ).
cnf(c_0_146,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_35]) ).
cnf(c_0_147,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_35]) ).
cnf(c_0_148,negated_conjecture,
( ssPv4(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
clause17 ).
cnf(c_0_149,negated_conjecture,
( ssPv4(skf2(skf3(X1)))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_91,c_0_41]) ).
cnf(c_0_150,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_35]),c_0_139]) ).
cnf(c_0_151,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_41]) ).
cnf(c_0_152,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_146]),c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_41]) ).
cnf(c_0_154,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf3(X2))
| ~ ssPv2(skf3(X2))
| ~ ssPv2(X2)
| ~ ssPv4(skf3(X2))
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_120,c_0_149]) ).
cnf(c_0_155,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_134]) ).
cnf(c_0_156,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_130,c_0_41]) ).
cnf(c_0_157,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf2(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_35]) ).
cnf(c_0_158,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_132]),c_0_121]),c_0_125]) ).
cnf(c_0_159,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_41]) ).
cnf(c_0_160,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_126,c_0_41]) ).
cnf(c_0_161,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_41]) ).
cnf(c_0_162,negated_conjecture,
( ssPv3(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_41]) ).
cnf(c_0_163,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf2(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_80,c_0_35]) ).
cnf(c_0_164,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_141,c_0_155]) ).
cnf(c_0_165,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_140,c_0_156]) ).
cnf(c_0_166,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_157,c_0_132]) ).
cnf(c_0_167,negated_conjecture,
( ssPv4(skf2(skf3(X1)))
| ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_41]) ).
cnf(c_0_168,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_158,c_0_41]) ).
cnf(c_0_169,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_159,c_0_85]) ).
cnf(c_0_170,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3) ),
clause8 ).
cnf(c_0_171,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(skf3(skf3(X1)))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_41]) ).
cnf(c_0_172,negated_conjecture,
( ssPv4(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_173,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_149]) ).
cnf(c_0_174,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_147,c_0_35]) ).
cnf(c_0_175,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv2(skf3(X1))
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_143,c_0_41]) ).
cnf(c_0_176,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf3(X2))
| ~ ssPv4(skf3(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_116,c_0_41]) ).
cnf(c_0_177,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_35]) ).
cnf(c_0_178,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_165]) ).
cnf(c_0_179,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_180,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_125]) ).
cnf(c_0_181,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ssPv4(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_41]) ).
cnf(c_0_182,negated_conjecture,
( ssPv1(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).
cnf(c_0_183,negated_conjecture,
( ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_162]) ).
cnf(c_0_184,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_101,c_0_174]) ).
cnf(c_0_185,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf3(X2))
| ssPv4(X2)
| ~ ssPv3(skf3(X2))
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_72,c_0_41]) ).
cnf(c_0_186,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_175,c_0_41]) ).
cnf(c_0_187,negated_conjecture,
( ssPv3(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_176,c_0_41]) ).
cnf(c_0_188,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_156]),c_0_178]) ).
cnf(c_0_189,negated_conjecture,
( ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_179,c_0_180]) ).
cnf(c_0_190,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf2(skf3(X1)))
| ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_181,c_0_35]) ).
cnf(c_0_191,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_183]),c_0_173]) ).
cnf(c_0_192,negated_conjecture,
( ssPv3(X1)
| ~ ssPv3(skf2(X2))
| ~ ssPv3(X2)
| ~ ssPv2(skf2(X2))
| ~ ssPv4(skf2(X2))
| ~ ssRr(X1,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_120,c_0_184]) ).
cnf(c_0_193,negated_conjecture,
( ssPv2(skf3(skf3(X1)))
| ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_185,c_0_41]) ).
cnf(c_0_194,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X3,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_41]) ).
cnf(c_0_195,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_186,c_0_187]) ).
cnf(c_0_196,negated_conjecture,
( ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_172]),c_0_189]),c_0_180]) ).
cnf(c_0_197,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv2(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_88,c_0_35]) ).
cnf(c_0_198,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_190]) ).
cnf(c_0_199,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_191,c_0_98]) ).
cnf(c_0_200,negated_conjecture,
( ssPv3(skf3(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_192,c_0_41]) ).
cnf(c_0_201,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf3(skf2(X1)))
| ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_35]) ).
cnf(c_0_202,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_82,c_0_193]) ).
cnf(c_0_203,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_194,c_0_41]) ).
cnf(c_0_204,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_90]) ).
cnf(c_0_205,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_196,c_0_197]) ).
cnf(c_0_206,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_98]),c_0_199]),c_0_180]) ).
cnf(c_0_207,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv4(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_156]),c_0_45]) ).
cnf(c_0_208,negated_conjecture,
( ssPv4(skf3(skf2(X1)))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_200]),c_0_201]) ).
cnf(c_0_209,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_202,c_0_94]) ).
cnf(c_0_210,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_41]) ).
cnf(c_0_211,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf3(skf3(X1)))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_203,c_0_41]) ).
cnf(c_0_212,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_204,c_0_99]) ).
cnf(c_0_213,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_206]),c_0_180]) ).
cnf(c_0_214,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf2(X1))
| ~ ssPv1(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_40,c_0_35]) ).
cnf(c_0_215,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_83]),c_0_100]) ).
cnf(c_0_216,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_41]) ).
cnf(c_0_217,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_208]),c_0_192]) ).
cnf(c_0_218,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_209]),c_0_82]) ).
cnf(c_0_219,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_210]) ).
cnf(c_0_220,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_211,c_0_48]) ).
cnf(c_0_221,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_212,c_0_112]) ).
cnf(c_0_222,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_133,c_0_213]) ).
cnf(c_0_223,negated_conjecture,
( ssPv3(X1)
| ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_214,c_0_35]) ).
cnf(c_0_224,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_148,c_0_35]) ).
cnf(c_0_225,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X3)
| ~ ssRr(skf2(X1),X2)
| ~ ssRr(X3,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_226,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(X1)
| ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_170,c_0_35]) ).
cnf(c_0_227,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_215,c_0_35]) ).
cnf(c_0_228,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv2(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_164,c_0_41]) ).
cnf(c_0_229,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_216,c_0_41]) ).
cnf(c_0_230,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_217,c_0_41]) ).
cnf(c_0_231,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_218,c_0_83]),c_0_219]) ).
cnf(c_0_232,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_220,c_0_221]) ).
cnf(c_0_233,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_223]),c_0_224]) ).
cnf(c_0_234,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_225,c_0_35]) ).
cnf(c_0_235,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1)
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_226,c_0_35]) ).
cnf(c_0_236,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_227,c_0_64]) ).
cnf(c_0_237,negated_conjecture,
( ssPv4(skf3(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_228,c_0_229]) ).
cnf(c_0_238,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_230,c_0_210]),c_0_231]),c_0_180]) ).
cnf(c_0_239,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_82,c_0_232]) ).
cnf(c_0_240,negated_conjecture,
( ssPv4(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv2(X2) ),
clause13 ).
cnf(c_0_241,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_233,c_0_35]) ).
cnf(c_0_242,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).
cnf(c_0_243,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_237]),c_0_150]) ).
cnf(c_0_244,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_239]),c_0_180]) ).
cnf(c_0_245,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_240,c_0_41]) ).
cnf(c_0_246,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_128,c_0_41]) ).
cnf(c_0_247,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_241,c_0_223]) ).
cnf(c_0_248,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_242,c_0_35]),c_0_243]) ).
cnf(c_0_249,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_132]),c_0_93]) ).
cnf(c_0_250,negated_conjecture,
( ssPv4(skf3(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_245,c_0_35]) ).
cnf(c_0_251,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_246,c_0_107]) ).
cnf(c_0_252,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_253,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_247,c_0_248]) ).
cnf(c_0_254,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_249,c_0_250]) ).
cnf(c_0_255,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_251]) ).
cnf(c_0_256,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_235]),c_0_51]) ).
cnf(c_0_257,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
cnf(c_0_258,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_253,c_0_35]) ).
cnf(c_0_259,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_180]),c_0_254]) ).
cnf(c_0_260,negated_conjecture,
( ssPv4(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_161,c_0_187]) ).
cnf(c_0_261,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_252,c_0_255]) ).
cnf(c_0_262,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_256,c_0_41]) ).
cnf(c_0_263,negated_conjecture,
( ssPv1(skf2(skf3(X1)))
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_257,c_0_41]) ).
cnf(c_0_264,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_213]),c_0_65]),c_0_259]) ).
cnf(c_0_265,negated_conjecture,
( ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_260]),c_0_180]) ).
cnf(c_0_266,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_51]) ).
cnf(c_0_267,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_263]),c_0_264]),c_0_265]) ).
cnf(c_0_268,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_266,c_0_41]) ).
cnf(c_0_269,negated_conjecture,
( ssPv2(X4)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X2) ),
clause38 ).
cnf(c_0_270,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_90]),c_0_268]) ).
cnf(c_0_271,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ssPv4(skf3(skf2(X1)))
| ~ ssPv1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_54]),c_0_70]) ).
cnf(c_0_272,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_269,c_0_35]) ).
cnf(c_0_273,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv2(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_270,c_0_271]) ).
cnf(c_0_274,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssRr(X2,X4)
| ~ ssPv2(X4)
| ~ ssPv1(X2) ),
clause39 ).
cnf(c_0_275,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_257,c_0_35]) ).
cnf(c_0_276,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_272,c_0_35]),c_0_273]) ).
cnf(c_0_277,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(skf3(X2))
| ~ ssPv2(X2)
| ~ ssPv4(X3)
| ~ ssRr(skf3(X2),X3)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_274,c_0_41]) ).
cnf(c_0_278,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_177,c_0_275]) ).
cnf(c_0_279,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_41]) ).
cnf(c_0_280,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(skf3(X2))
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_277,c_0_41]) ).
cnf(c_0_281,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_46,c_0_41]) ).
cnf(c_0_282,negated_conjecture,
( ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_278,c_0_149]) ).
cnf(c_0_283,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_134]) ).
cnf(c_0_284,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf3(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_122,c_0_41]) ).
cnf(c_0_285,negated_conjecture,
( ssPv1(X1)
| ssPv2(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X2) ),
clause11 ).
cnf(c_0_286,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_180]) ).
cnf(c_0_287,negated_conjecture,
( ssPv1(X1)
| ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_39]),c_0_221]) ).
cnf(c_0_288,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_48]),c_0_188]) ).
cnf(c_0_289,negated_conjecture,
( ssPv4(skf3(skf3(X1)))
| ~ ssPv1(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_280,c_0_41]) ).
cnf(c_0_290,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv2(skf3(X1))
| ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_281,c_0_221]) ).
cnf(c_0_291,negated_conjecture,
( ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_232]),c_0_206]) ).
cnf(c_0_292,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_283,c_0_41]) ).
cnf(c_0_293,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_188,c_0_284]),c_0_139]) ).
cnf(c_0_294,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssPv2(skf2(X2))
| ~ ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_274,c_0_35]) ).
cnf(c_0_295,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ssPv2(skf2(X2))
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_285,c_0_35]) ).
cnf(c_0_296,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_48]),c_0_287]) ).
cnf(c_0_297,negated_conjecture,
( ~ ssPv1(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_288,c_0_289]) ).
cnf(c_0_298,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_41]) ).
cnf(c_0_299,negated_conjecture,
( ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_267,c_0_290]),c_0_291]) ).
cnf(c_0_300,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_292,c_0_54]) ).
cnf(c_0_301,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_293,c_0_180]) ).
cnf(c_0_302,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_294,c_0_273]) ).
cnf(c_0_303,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_295,c_0_41]) ).
cnf(c_0_304,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_290]),c_0_115]),c_0_206]) ).
cnf(c_0_305,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv3(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_259,c_0_296]) ).
cnf(c_0_306,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_297,c_0_298]),c_0_299]),c_0_288]) ).
cnf(c_0_307,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_180]),c_0_254]) ).
cnf(c_0_308,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_300,c_0_61]) ).
cnf(c_0_309,negated_conjecture,
( ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_301,c_0_66]) ).
cnf(c_0_310,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X2)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_302,c_0_35]) ).
cnf(c_0_311,negated_conjecture,
( ssPv1(X1)
| ssPv2(skf2(X1))
| ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_179,c_0_303]),c_0_296]),c_0_304]) ).
cnf(c_0_312,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_299]),c_0_306]) ).
cnf(c_0_313,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_306,c_0_112]),c_0_221]) ).
cnf(c_0_314,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_307,c_0_308]),c_0_309]) ).
cnf(c_0_315,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_310,c_0_41]) ).
cnf(c_0_316,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_276,c_0_35]) ).
cnf(c_0_317,negated_conjecture,
( ssPv1(X1)
| ~ ssPv3(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_259,c_0_311]),c_0_312]) ).
cnf(c_0_318,negated_conjecture,
( ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_243,c_0_313]) ).
cnf(c_0_319,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_315]),c_0_288]) ).
cnf(c_0_320,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_57,c_0_316]) ).
cnf(c_0_321,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_101,c_0_268]) ).
cnf(c_0_322,negated_conjecture,
( ~ ssPv4(skf2(X1))
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_318]),c_0_319]) ).
cnf(c_0_323,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_316]),c_0_320]) ).
cnf(c_0_324,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_317,c_0_321]),c_0_322]) ).
cnf(c_0_325,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv2(X4)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4) ),
clause27 ).
cnf(c_0_326,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).
cnf(c_0_327,negated_conjecture,
( ssPv1(X1)
| ssPv3(X2)
| ssPv2(skf2(X2))
| ssPv4(X3)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_325,c_0_35]) ).
cnf(c_0_328,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_326,c_0_316]) ).
cnf(c_0_329,negated_conjecture,
( ssPv1(X1)
| ssPv3(X2)
| ssPv2(skf2(X2))
| ssPv4(skf2(X2))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_327,c_0_35]) ).
cnf(c_0_330,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_328,c_0_323]) ).
cnf(c_0_331,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv3(X1)
| ssPv2(skf2(X1))
| ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_329,c_0_41]) ).
cnf(c_0_332,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_326,c_0_223]) ).
cnf(c_0_333,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_330,c_0_213]) ).
cnf(c_0_334,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1)
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_296]),c_0_268]) ).
cnf(c_0_335,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_198,c_0_268]) ).
cnf(c_0_336,negated_conjecture,
( ssPv4(X3)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
clause32 ).
cnf(c_0_337,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_331]),c_0_332]),c_0_333]) ).
cnf(c_0_338,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_270]) ).
cnf(c_0_339,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_336,c_0_41]) ).
cnf(c_0_340,negated_conjecture,
( ssPv3(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_337,c_0_338]) ).
cnf(c_0_341,negated_conjecture,
( ssPv4(X1)
| ssPv3(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv4(X4) ),
clause28 ).
cnf(c_0_342,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_339,c_0_35]) ).
cnf(c_0_343,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_213]),c_0_340]) ).
cnf(c_0_344,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X2)
| ssPv4(X1)
| ~ ssPv4(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_341,c_0_41]) ).
cnf(c_0_345,negated_conjecture,
( ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_337,c_0_313]) ).
cnf(c_0_346,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_110,c_0_35]) ).
cnf(c_0_347,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_342,c_0_343]) ).
cnf(c_0_348,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_306,c_0_208]) ).
cnf(c_0_349,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv4(X2)
| ~ ssPv4(skf2(X1))
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_35]),c_0_322]) ).
cnf(c_0_350,negated_conjecture,
( ssPv1(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_39]),c_0_345]),c_0_317]) ).
cnf(c_0_351,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X2)
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_240,c_0_35]) ).
cnf(c_0_352,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(X1)
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_174]),c_0_346]) ).
cnf(c_0_353,negated_conjecture,
( ssPv4(X3)
| ssPv3(X4)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3)
| ~ ssRr(X2,X4)
| ~ ssPv4(X2) ),
clause34 ).
cnf(c_0_354,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_347,c_0_41]) ).
cnf(c_0_355,negated_conjecture,
( ssPv3(skf3(X1))
| ssPv3(X1)
| ssPv4(skf3(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_41]) ).
cnf(c_0_356,negated_conjecture,
( ~ ssPv3(skf3(X1))
| ~ ssPv3(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_210]),c_0_231]) ).
cnf(c_0_357,negated_conjecture,
( ssPv3(skf3(X1))
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_349,c_0_41]),c_0_345]) ).
cnf(c_0_358,negated_conjecture,
( ssPv2(X1)
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_293,c_0_350]) ).
cnf(c_0_359,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf3(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_351,c_0_41]) ).
cnf(c_0_360,negated_conjecture,
( ssPv4(X1)
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_145,c_0_35]) ).
cnf(c_0_361,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_352,c_0_35]),c_0_101]) ).
cnf(c_0_362,negated_conjecture,
( ssPv3(X1)
| ssPv4(X2)
| ~ ssPv2(X3)
| ~ ssPv4(skf3(X1))
| ~ ssRr(skf3(X1),X2)
| ~ ssRr(X3,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_353,c_0_41]) ).
cnf(c_0_363,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_345]) ).
cnf(c_0_364,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_356,c_0_357]),c_0_358]) ).
cnf(c_0_365,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf3(skf2(X1))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_246,c_0_291]),c_0_359]) ).
cnf(c_0_366,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X2)
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssRr(skf2(X1),X2) ),
inference(spm,[status(thm)],[c_0_360,c_0_174]) ).
cnf(c_0_367,negated_conjecture,
( ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_361,c_0_174]) ).
cnf(c_0_368,negated_conjecture,
( ~ ssPv1(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_188,c_0_208]) ).
cnf(c_0_369,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_279,c_0_350]) ).
cnf(c_0_370,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_41]),c_0_363]),c_0_345]) ).
cnf(c_0_371,negated_conjecture,
( ssPv2(X1)
| ~ ssPv3(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_136]),c_0_358]) ).
cnf(c_0_372,negated_conjecture,
( ssPv3(skf2(X1))
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_363]),c_0_340]) ).
cnf(c_0_373,negated_conjecture,
( ~ ssPv3(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_35]),c_0_367]) ).
cnf(c_0_374,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_368,c_0_180]) ).
cnf(c_0_375,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_326,c_0_369]) ).
cnf(c_0_376,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_370,c_0_41]) ).
cnf(c_0_377,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_371,c_0_372]) ).
cnf(c_0_378,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(skf2(X1))) ),
inference(spm,[status(thm)],[c_0_373,c_0_132]) ).
cnf(c_0_379,negated_conjecture,
( ssPv4(skf2(skf2(X1)))
| ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_174]),c_0_180]),c_0_374]) ).
cnf(c_0_380,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv4(skf3(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_369]),c_0_288]),c_0_375]) ).
cnf(c_0_381,negated_conjecture,
( ssPv3(X1)
| ssPv4(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_376,c_0_377]) ).
cnf(c_0_382,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_378,c_0_379]),c_0_374]) ).
cnf(c_0_383,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_380,c_0_381]) ).
cnf(c_0_384,negated_conjecture,
( ~ ssPv3(skf2(X1))
| ~ ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_382,c_0_377]),c_0_364]) ).
cnf(c_0_385,negated_conjecture,
ssPv3(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_383,c_0_350]),c_0_363]) ).
cnf(c_0_386,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_385]),c_0_385])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN784-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.36 % Computer : n002.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 : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 19:12:03 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.71 % Version : CSE_E---1.5
% 0.21/0.71 % Problem : theBenchmark.p
% 0.21/0.71 % Proof found
% 0.21/0.71 % SZS status Theorem for theBenchmark.p
% 0.21/0.71 % SZS output start Proof
% See solution above
% 0.21/0.73 % Total time : 0.114000 s
% 0.21/0.73 % SZS output end Proof
% 0.21/0.73 % Total time : 0.117000 s
%------------------------------------------------------------------------------