TSTP Solution File: SYN796-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n015.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 01:54:53 EDT 2023
% Result : Unsatisfiable 0.20s 0.62s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 37
% Syntax : Number of formulae : 199 ( 10 unt; 7 typ; 0 def)
% Number of atoms : 859 ( 0 equ)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 1208 ( 541 ~; 667 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 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 : 358 ( 21 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,
ssPv3: $i > $o ).
tff(decl_26,type,
ssPv1: $i > $o ).
tff(decl_27,type,
ssPv4: $i > $o ).
tff(decl_28,type,
ssPv2: $i > $o ).
cnf(clause32,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(clause2,negated_conjecture,
ssRr(X1,skf2(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause33,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv2(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
cnf(clause34,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(clause1,negated_conjecture,
ssRr(skf3(X1),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause4,negated_conjecture,
( ssPv1(X2)
| ssPv2(X1)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause29,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(clause14,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause27,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
cnf(clause5,negated_conjecture,
( ssPv2(X1)
| ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(clause17,negated_conjecture,
( ssPv2(X3)
| ssPv1(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(clause6,negated_conjecture,
( ssPv2(X1)
| ssPv1(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(clause23,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
cnf(clause3,negated_conjecture,
( ssPv3(X2)
| ssPv1(X1)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause26,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(clause7,negated_conjecture,
( ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(clause19,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause30,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv3(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
cnf(clause31,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X2)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause24,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(clause22,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(clause9,negated_conjecture,
( ssPv4(X1)
| ssPv1(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(clause20,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
cnf(clause8,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( ssPv2(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(clause44,negated_conjecture,
( ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv2(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
cnf(clause13,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
cnf(clause46,negated_conjecture,
( ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv3(X3)
| ~ ssRr(X4,X2)
| ~ ssPv1(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(clause50,negated_conjecture,
( ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(clause51,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(c_0_30,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
clause32 ).
cnf(c_0_31,negated_conjecture,
ssRr(X1,skf2(X1)),
clause2 ).
cnf(c_0_32,negated_conjecture,
( ssPv1(X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv2(X1) ),
clause33 ).
cnf(c_0_33,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
clause34 ).
cnf(c_0_34,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_35,negated_conjecture,
ssRr(skf3(X1),X1),
clause1 ).
cnf(c_0_36,negated_conjecture,
( ssPv1(X2)
| ssPv2(X1)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1) ),
clause4 ).
cnf(c_0_37,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssPv1(skf2(X2))
| ~ ssPv1(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ssPv1(skf2(skf3(X1)))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_40,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf2(X1))
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_41,negated_conjecture,
( ssPv1(skf2(skf3(X1)))
| ~ ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_35]) ).
cnf(c_0_42,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X2) ),
clause29 ).
cnf(c_0_43,negated_conjecture,
( ssPv1(X1)
| ssPv4(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X2) ),
clause14 ).
cnf(c_0_44,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv4(X3)
| ~ ssPv2(X2) ),
clause27 ).
cnf(c_0_45,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssPv4(skf3(X2))
| ~ ssPv1(skf3(X2))
| ~ ssPv3(skf3(X2))
| ~ ssRr(skf3(X2),X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_40]) ).
cnf(c_0_47,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv2(X2)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_38,c_0_41]) ).
cnf(c_0_48,negated_conjecture,
( ssPv4(X1)
| ~ ssPv4(skf3(X2))
| ~ ssPv4(X2)
| ~ ssPv3(skf3(X2))
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_42,c_0_35]) ).
cnf(c_0_49,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_32,c_0_35]) ).
cnf(c_0_50,negated_conjecture,
( ssPv2(X1)
| ssPv1(X2)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2) ),
clause5 ).
cnf(c_0_51,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssPv2(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X1,X2) ),
inference(csr,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_45,c_0_35]) ).
cnf(c_0_53,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_46,c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_35]) ).
cnf(c_0_55,negated_conjecture,
( ssPv4(skf3(skf3(X1)))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1)
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_48,c_0_35]) ).
cnf(c_0_56,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_35]) ).
cnf(c_0_57,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv4(X1)
| ssPv1(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_58,negated_conjecture,
( ssPv1(X1)
| ssPv1(X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_31]) ).
cnf(c_0_59,negated_conjecture,
( ssPv2(X3)
| ssPv1(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X2,X3) ),
clause17 ).
cnf(c_0_60,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf3(X1))
| ~ ssPv1(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_61,negated_conjecture,
( ~ ssPv2(skf3(skf3(X1)))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1)
| ~ ssPv1(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( ssPv1(skf3(X1))
| ssPv1(X1)
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_35]) ).
cnf(c_0_64,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv2(X2)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_35]) ).
cnf(c_0_65,negated_conjecture,
( ssPv2(X1)
| ssPv1(X2)
| ssPv3(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X2) ),
clause6 ).
cnf(c_0_66,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv4(X2) ),
clause23 ).
cnf(c_0_67,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1)
| ~ ssPv1(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_55]),c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_69,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv2(skf3(skf3(X1))) ),
inference(spm,[status(thm)],[c_0_64,c_0_35]) ).
cnf(c_0_70,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_65,c_0_35]) ).
cnf(c_0_71,negated_conjecture,
( ssPv3(X2)
| ssPv1(X1)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2) ),
clause3 ).
cnf(c_0_72,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssPv1(skf2(X2))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_31]) ).
cnf(c_0_73,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X3) ),
clause26 ).
cnf(c_0_74,negated_conjecture,
( ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(X1)
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv1(skf3(X1))
| ssPv3(skf3(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_35]) ).
cnf(c_0_77,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_72,c_0_40]) ).
cnf(c_0_78,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_31]) ).
cnf(c_0_79,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_59,c_0_31]) ).
cnf(c_0_80,negated_conjecture,
( ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv1(X2)
| ~ ssPv4(X2) ),
clause7 ).
cnf(c_0_81,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_82,negated_conjecture,
( ssPv4(skf3(X1))
| ssPv1(skf3(X1))
| ssPv3(X1)
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_68,c_0_76]) ).
cnf(c_0_83,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv2(X1)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_35]) ).
cnf(c_0_84,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_78,c_0_40]) ).
cnf(c_0_85,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_35]) ).
cnf(c_0_86,negated_conjecture,
( ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_35]) ).
cnf(c_0_87,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( ssPv4(X2)
| ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv4(X1) ),
clause19 ).
cnf(c_0_89,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_84,c_0_31]) ).
cnf(c_0_90,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_85,c_0_70]) ).
cnf(c_0_91,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( ssPv4(X1)
| ssPv3(skf2(X2))
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_31]) ).
cnf(c_0_93,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssPv3(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_37,c_0_31]) ).
cnf(c_0_94,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1))
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_31]) ).
cnf(c_0_96,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv3(skf2(X1))
| ~ ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_92,c_0_31]) ).
cnf(c_0_97,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(skf2(X1))
| ~ ssPv1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_98,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_93,c_0_96]) ).
cnf(c_0_99,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_31]) ).
cnf(c_0_100,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_101,negated_conjecture,
( ssPv4(X3)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3)
| ~ ssPv2(X1)
| ~ ssPv3(X1) ),
clause30 ).
cnf(c_0_102,negated_conjecture,
( ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv1(X3)
| ~ ssPv1(X2)
| ~ ssPv3(X2) ),
clause31 ).
cnf(c_0_103,negated_conjecture,
( ssPv1(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssPv3(X1)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_31]) ).
cnf(c_0_105,negated_conjecture,
( ssPv3(X1)
| ~ ssPv1(skf2(X2))
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_102,c_0_31]) ).
cnf(c_0_106,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X2)
| ~ ssPv1(X2)
| ~ ssPv3(X2)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( ssPv4(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_104,c_0_31]) ).
cnf(c_0_108,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv1(X2)
| ~ ssPv3(skf3(X1))
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_35]) ).
cnf(c_0_109,negated_conjecture,
( ssPv3(X1)
| ~ ssPv2(X2)
| ~ ssPv1(skf3(X2))
| ~ ssPv3(skf3(X2))
| ~ ssRr(X1,skf3(X2)) ),
inference(spm,[status(thm)],[c_0_105,c_0_39]) ).
cnf(c_0_110,negated_conjecture,
( ssPv2(X1)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv2(X3)
| ~ ssPv3(X2) ),
clause24 ).
cnf(c_0_111,negated_conjecture,
( ssPv1(X3)
| ssPv3(X1)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1) ),
clause22 ).
cnf(c_0_112,negated_conjecture,
( ~ ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_106,c_0_31]) ).
cnf(c_0_113,negated_conjecture,
( ssPv2(skf2(X1))
| ~ ssPv2(X1)
| ~ ssPv1(skf2(X1))
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( ssPv4(X1)
| ssPv1(X3)
| ssPv4(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2) ),
clause9 ).
cnf(c_0_115,negated_conjecture,
( ssPv4(X1)
| ~ ssPv2(skf3(X1))
| ~ ssPv1(X1)
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_108,c_0_35]) ).
cnf(c_0_116,negated_conjecture,
( ssPv3(skf3(skf3(X1)))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_109,c_0_35]) ).
cnf(c_0_117,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv2(X2)
| ~ ssPv2(X1)
| ~ ssPv3(skf3(X1))
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_110,c_0_35]) ).
cnf(c_0_118,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(X2)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1))
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_35]) ).
cnf(c_0_119,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X2)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_111,c_0_35]) ).
cnf(c_0_120,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv1(X1)
| ~ ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_113]),c_0_103]) ).
cnf(c_0_121,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ssPv3(skf2(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_71,c_0_31]) ).
cnf(c_0_122,negated_conjecture,
( ssPv1(skf2(X1))
| ssPv1(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_58,c_0_31]) ).
cnf(c_0_123,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X2)
| ssPv1(X1)
| ~ ssPv1(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(spm,[status(thm)],[c_0_114,c_0_31]) ).
cnf(c_0_124,negated_conjecture,
( ~ ssPv2(skf3(skf3(X1)))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_116]),c_0_52]) ).
cnf(c_0_125,negated_conjecture,
( ssPv2(skf3(skf3(X1)))
| ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_117,c_0_35]) ).
cnf(c_0_126,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssRr(skf3(X1),X2) ),
inference(spm,[status(thm)],[c_0_73,c_0_35]) ).
cnf(c_0_127,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_118,c_0_35]) ).
cnf(c_0_128,negated_conjecture,
( ssPv1(X1)
| ssPv3(skf3(X1))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_35]) ).
cnf(c_0_129,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).
cnf(c_0_130,negated_conjecture,
( ssPv4(skf2(X1))
| ssPv4(X1)
| ssPv1(X1)
| ~ ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_31]) ).
cnf(c_0_131,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_124,c_0_125]) ).
cnf(c_0_132,negated_conjecture,
( ssPv2(skf3(X1))
| ssPv3(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_35]) ).
cnf(c_0_133,negated_conjecture,
( ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_63]) ).
cnf(c_0_134,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_130]),c_0_122]) ).
cnf(c_0_135,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(X1)
| ssPv1(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_57]),c_0_68]) ).
cnf(c_0_136,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(X1))
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_131,c_0_132]) ).
cnf(c_0_137,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1))
| ~ ssPv4(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_133,c_0_75]) ).
cnf(c_0_138,negated_conjecture,
( ssPv4(X1)
| ssPv1(X1)
| ~ ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_133]) ).
cnf(c_0_139,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(skf3(skf3(X1)))
| ~ ssPv1(skf3(X1))
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_136]),c_0_131]) ).
cnf(c_0_140,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf3(X1))
| ~ ssPv2(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_137,c_0_138]) ).
cnf(c_0_141,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv1(skf3(skf3(X1)))
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_125]),c_0_139]) ).
cnf(c_0_142,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf2(X1))
| ssPv3(skf2(X1))
| ~ ssPv4(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_31]) ).
cnf(c_0_143,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf2(X1))
| ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_31]) ).
cnf(c_0_144,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_140,c_0_125]),c_0_141]) ).
cnf(c_0_145,negated_conjecture,
( ssPv3(X1)
| ssPv2(X3)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X2) ),
clause20 ).
cnf(c_0_146,negated_conjecture,
( ssPv2(X1)
| ssPv1(skf2(X1))
| ~ ssPv2(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_142]),c_0_143]) ).
cnf(c_0_147,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_132]) ).
cnf(c_0_148,negated_conjecture,
( ssPv2(X1)
| ssPv3(X2)
| ~ ssPv2(skf2(X1))
| ~ ssRr(X2,skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_31]),c_0_146]) ).
cnf(c_0_149,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ssPv1(X2)
| ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3) ),
clause8 ).
cnf(c_0_150,negated_conjecture,
( ssPv2(X3)
| ssPv3(X1)
| ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssRr(X1,X3) ),
clause11 ).
cnf(c_0_151,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf3(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_147]),c_0_133]),c_0_144]) ).
cnf(c_0_152,negated_conjecture,
( ssPv2(X1)
| ssPv3(skf3(skf2(X1)))
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_35]) ).
cnf(c_0_153,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv2(X1)
| ssPv4(X2)
| ssPv1(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_31]) ).
cnf(c_0_154,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(X1)
| ssPv3(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
inference(spm,[status(thm)],[c_0_150,c_0_31]) ).
cnf(c_0_155,negated_conjecture,
( ssPv2(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_151,c_0_152]) ).
cnf(c_0_156,negated_conjecture,
( ssPv2(skf2(skf2(X1)))
| ssPv2(skf2(X1))
| ssPv4(X1)
| ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_153,c_0_31]) ).
cnf(c_0_157,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv2(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_148,c_0_31]) ).
cnf(c_0_158,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(X1)
| ssPv3(X1)
| ~ ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_31]) ).
cnf(c_0_159,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(X1)
| ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_155,c_0_156]) ).
cnf(c_0_160,negated_conjecture,
( ssPv3(X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssRr(X3,X2)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv2(X2) ),
clause44 ).
cnf(c_0_161,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ~ ssPv1(skf2(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_94]) ).
cnf(c_0_162,negated_conjecture,
( ssPv2(X1)
| ssPv4(X1)
| ssPv1(skf2(X1)) ),
inference(spm,[status(thm)],[c_0_155,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssRr(X2,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_35]),c_0_151]) ).
cnf(c_0_164,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_94]) ).
cnf(c_0_165,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv2(X2)
| ~ ssPv1(X1)
| ~ ssRr(X2,skf3(X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_35]) ).
cnf(c_0_166,negated_conjecture,
( ssPv2(skf3(X1))
| ~ ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_151,c_0_164]) ).
cnf(c_0_167,negated_conjecture,
( ~ ssPv2(skf3(X1))
| ~ ssPv1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_35]),c_0_166]) ).
cnf(c_0_168,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_167,c_0_166]) ).
cnf(c_0_169,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(skf3(X1)) ),
inference(spm,[status(thm)],[c_0_168,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( ssPv4(X1)
| ssPv2(X3)
| ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X2) ),
clause13 ).
cnf(c_0_171,negated_conjecture,
~ ssPv2(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_63]),c_0_168]) ).
cnf(c_0_172,negated_conjecture,
( ssPv2(skf2(X1))
| ssPv4(X2)
| ssPv1(X1)
| ~ ssPv3(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_170,c_0_31]) ).
cnf(c_0_173,negated_conjecture,
ssPv3(X1),
inference(sr,[status(thm)],[c_0_164,c_0_171]) ).
cnf(c_0_174,negated_conjecture,
( ssPv2(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv3(X3)
| ~ ssRr(X4,X2)
| ~ ssPv1(X4) ),
clause46 ).
cnf(c_0_175,negated_conjecture,
( ssPv1(X2)
| ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssRr(X3,X2)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv3(X4) ),
clause50 ).
cnf(c_0_176,negated_conjecture,
( ssPv4(X1)
| ssPv1(X2)
| ~ ssRr(X1,X2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_173])]),c_0_171]) ).
cnf(c_0_177,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X2,X3)
| ~ ssRr(X4,X3)
| ~ ssRr(X1,X3) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_174,c_0_173])]),c_0_171]) ).
cnf(c_0_178,negated_conjecture,
( ssPv1(X1)
| ~ ssRr(X2,X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X4,X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_175,c_0_173]),c_0_173])]),c_0_176]) ).
cnf(c_0_179,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X3,skf2(X2))
| ~ ssRr(X1,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_177,c_0_31]) ).
cnf(c_0_180,negated_conjecture,
( ssPv1(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_178,c_0_35]) ).
cnf(c_0_181,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,skf2(X2)) ),
inference(spm,[status(thm)],[c_0_179,c_0_35]) ).
cnf(c_0_182,negated_conjecture,
( ssPv1(X1)
| ~ ssRr(X2,X1) ),
inference(spm,[status(thm)],[c_0_180,c_0_31]) ).
cnf(c_0_183,negated_conjecture,
( ssPv4(X1)
| ~ ssRr(X1,X2)
| ~ ssRr(X2,X3)
| ~ ssPv3(X3)
| ~ ssRr(X2,X4)
| ~ ssPv1(X4)
| ~ ssPv3(X2) ),
clause51 ).
cnf(c_0_184,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_181,c_0_31]) ).
cnf(c_0_185,negated_conjecture,
ssPv1(X1),
inference(spm,[status(thm)],[c_0_182,c_0_35]) ).
cnf(c_0_186,negated_conjecture,
( ssPv4(X1)
| ~ ssPv1(X2)
| ~ ssRr(X3,X2)
| ~ ssRr(X3,X4)
| ~ ssRr(X1,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_183,c_0_173]),c_0_173])]) ).
cnf(c_0_187,negated_conjecture,
~ ssPv4(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185])]) ).
cnf(c_0_188,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssRr(X4,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_186,c_0_185])]),c_0_187]) ).
cnf(c_0_189,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssRr(X3,X1) ),
inference(spm,[status(thm)],[c_0_188,c_0_31]) ).
cnf(c_0_190,negated_conjecture,
~ ssRr(X1,X2),
inference(spm,[status(thm)],[c_0_189,c_0_31]) ).
cnf(c_0_191,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_31,c_0_190]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN796-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Aug 26 21:35:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 0.20/0.62 % Version : CSE_E---1.5
% 0.20/0.62 % Problem : theBenchmark.p
% 0.20/0.62 % Proof found
% 0.20/0.62 % SZS status Theorem for theBenchmark.p
% 0.20/0.62 % SZS output start Proof
% See solution above
% 0.20/0.63 % Total time : 0.067000 s
% 0.20/0.63 % SZS output end Proof
% 0.20/0.63 % Total time : 0.071000 s
%------------------------------------------------------------------------------