%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 03:26:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 30
% Syntax : Number of clauses : 192 ( 7 unt; 130 nHn; 174 RR)
% Number of literals : 904 ( 0 equ; 532 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 1-1 aty)
% Number of variables : 414 ( 21 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause37,negated_conjecture,
( ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X4)
| ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(clause1,negated_conjecture,
ssRr(X1,skf1(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause10,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
cnf(clause4,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
cnf(clause3,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(clause15,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(clause5,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
cnf(clause8,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
cnf(clause42,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv2(X4)
| ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
cnf(clause28,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
cnf(clause2,negated_conjecture,
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(clause33,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(clause16,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
cnf(clause11,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1)
| ssPv3(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
cnf(clause9,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X3)
| ssPv4(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
cnf(clause24,negated_conjecture,
( ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(clause12,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
cnf(clause6,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
cnf(clause51,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
cnf(clause44,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4)
| ssPv4(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
cnf(clause7,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
cnf(clause17,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
cnf(clause36,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(clause27,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(clause34,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
cnf(clause19,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
cnf(clause22,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv2(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
cnf(clause21,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv4(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
cnf(clause31,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv1(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
cnf(clause47,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
cnf(c_0_30,negated_conjecture,
( ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X4)
| ssPv3(X3) ),
inference(fof_simplification,[status(thm)],[clause37]) ).
cnf(c_0_31,negated_conjecture,
( ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X4)
| ssPv3(X3) ),
c_0_30 ).
cnf(c_0_32,negated_conjecture,
ssRr(X1,skf1(X1)),
clause1 ).
cnf(c_0_33,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2) ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_34,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X3)
| ssPv1(skf1(X1))
| ssPv3(X2)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2) ),
c_0_33 ).
cnf(c_0_36,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
inference(fof_simplification,[status(thm)],[clause4]) ).
cnf(c_0_37,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
inference(fof_simplification,[status(thm)],[clause3]) ).
cnf(c_0_38,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
inference(fof_simplification,[status(thm)],[clause15]) ).
cnf(c_0_39,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
inference(fof_simplification,[status(thm)],[clause5]) ).
cnf(c_0_40,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv1(skf1(X1))
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_34,c_0_32]) ).
cnf(c_0_41,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X2)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_42,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
c_0_36 ).
cnf(c_0_43,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
c_0_37 ).
cnf(c_0_44,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
c_0_38 ).
cnf(c_0_45,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
inference(fof_simplification,[status(thm)],[clause8]) ).
cnf(c_0_46,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv2(X4)
| ssPv3(X3) ),
inference(fof_simplification,[status(thm)],[clause42]) ).
cnf(c_0_47,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
inference(fof_simplification,[status(thm)],[clause28]) ).
cnf(c_0_48,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
c_0_39 ).
cnf(c_0_49,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(skf1(X1))
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_32]) ).
cnf(c_0_50,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_41,c_0_32]) ).
cnf(c_0_51,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ~ ssPv2(X1)
| ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_32]) ).
cnf(c_0_52,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_32]) ).
cnf(c_0_53,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_44,c_0_32]) ).
cnf(c_0_54,negated_conjecture,
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X1) ),
inference(fof_simplification,[status(thm)],[clause2]) ).
cnf(c_0_55,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
c_0_45 ).
cnf(c_0_56,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv2(X4)
| ssPv3(X3) ),
c_0_46 ).
cnf(c_0_57,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
c_0_47 ).
cnf(c_0_58,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf1(X1))
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( ~ ssPv2(X1)
| ssPv3(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51]),c_0_52]) ).
cnf(c_0_60,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_53,c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X1) ),
c_0_54 ).
cnf(c_0_62,negated_conjecture,
( ~ ssRr(X2,X1)
| ssPv1(skf1(X2))
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_55,c_0_32]) ).
cnf(c_0_63,negated_conjecture,
( ~ ssRr(X2,X3)
| ~ ssRr(X2,X1)
| ~ ssPv4(X2)
| ~ ssPv4(X3)
| ssPv2(skf1(X2))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_56,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv3(X2)
| ssPv1(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_57,c_0_32]) ).
cnf(c_0_65,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]) ).
cnf(c_0_66,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_67,negated_conjecture,
( ssPv1(skf1(X1))
| ssPv2(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_32]) ).
cnf(c_0_68,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
inference(fof_simplification,[status(thm)],[clause33]) ).
cnf(c_0_69,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_32]) ).
cnf(c_0_70,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_64,c_0_32]) ).
cnf(c_0_71,negated_conjecture,
( ~ ssPv2(X1)
| ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_65,c_0_50]) ).
cnf(c_0_72,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_73,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
inference(fof_simplification,[status(thm)],[clause16]) ).
cnf(c_0_74,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
c_0_68 ).
cnf(c_0_75,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_32]) ).
cnf(c_0_76,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1)
| ssPv3(X3) ),
inference(fof_simplification,[status(thm)],[clause11]) ).
cnf(c_0_78,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X3)
| ssPv4(X2) ),
inference(fof_simplification,[status(thm)],[clause9]) ).
cnf(c_0_79,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
c_0_73 ).
cnf(c_0_80,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(skf1(X1))
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_74,c_0_32]) ).
cnf(c_0_81,negated_conjecture,
( ~ ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_65]) ).
cnf(c_0_82,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1)
| ssPv3(X3) ),
c_0_77 ).
cnf(c_0_83,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X3)
| ssPv4(X2) ),
c_0_78 ).
cnf(c_0_84,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_32]) ).
cnf(c_0_85,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
( ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1) ),
inference(fof_simplification,[status(thm)],[clause24]) ).
cnf(c_0_87,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1)
| ssPv4(X3) ),
inference(fof_simplification,[status(thm)],[clause12]) ).
cnf(c_0_88,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_82,c_0_32]) ).
cnf(c_0_89,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ssPv1(skf1(X1))
| ssPv4(X2)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_83,c_0_32]) ).
cnf(c_0_90,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_32]) ).
cnf(c_0_91,negated_conjecture,
( ~ ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_32]),c_0_76]) ).
cnf(c_0_92,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
inference(fof_simplification,[status(thm)],[clause6]) ).
cnf(c_0_93,negated_conjecture,
( ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1) ),
c_0_86 ).
cnf(c_0_94,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1)
| ssPv4(X3) ),
c_0_87 ).
cnf(c_0_95,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_88,c_0_32]) ).
cnf(c_0_96,negated_conjecture,
( ~ ssPv1(X1)
| ssPv1(skf1(X1))
| ssPv4(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_32]) ).
cnf(c_0_97,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_98,negated_conjecture,
( ~ ssPv2(X1)
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_76]) ).
cnf(c_0_99,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
c_0_92 ).
cnf(c_0_100,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause51]) ).
cnf(c_0_101,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4)
| ssPv4(X3) ),
inference(fof_simplification,[status(thm)],[clause44]) ).
cnf(c_0_102,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_103,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_91]) ).
cnf(c_0_104,negated_conjecture,
( ~ ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_105,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_76]),c_0_98]) ).
cnf(c_0_106,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause7]) ).
cnf(c_0_107,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_99,c_0_32]) ).
cnf(c_0_108,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
c_0_100 ).
cnf(c_0_109,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4)
| ssPv4(X3) ),
c_0_101 ).
cnf(c_0_110,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_102,c_0_32]) ).
cnf(c_0_111,negated_conjecture,
( ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X3) ),
inference(fof_simplification,[status(thm)],[clause17]) ).
cnf(c_0_113,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
c_0_106 ).
cnf(c_0_114,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_107]),c_0_48]) ).
cnf(c_0_115,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(skf1(X2))
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_32]) ).
cnf(c_0_116,negated_conjecture,
( ~ ssRr(X2,X3)
| ~ ssRr(X2,X1)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv3(skf1(X2))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_109,c_0_32]) ).
cnf(c_0_117,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_59]) ).
cnf(c_0_118,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X3) ),
c_0_112 ).
cnf(c_0_119,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ~ ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_32]) ).
cnf(c_0_120,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_114,c_0_32]) ).
cnf(c_0_121,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1) ),
inference(fof_simplification,[status(thm)],[clause36]) ).
cnf(c_0_122,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
inference(fof_simplification,[status(thm)],[clause27]) ).
cnf(c_0_123,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ~ ssPv4(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_91]),c_0_116]) ).
cnf(c_0_124,negated_conjecture,
( ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_117,c_0_32]) ).
cnf(c_0_125,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ssPv2(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_32]) ).
cnf(c_0_126,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_91]),c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1) ),
c_0_121 ).
cnf(c_0_128,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
c_0_122 ).
cnf(c_0_129,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_123,c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf1(X1))
| ssPv2(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_32]) ).
cnf(c_0_131,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_126,c_0_124]) ).
cnf(c_0_132,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ssPv1(X1) ),
inference(csr,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_133,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(skf1(X1))
| ~ ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_129,c_0_32]) ).
cnf(c_0_134,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_124]),c_0_131]) ).
cnf(c_0_135,negated_conjecture,
( ~ ssPv2(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_59]),c_0_50]),c_0_59]) ).
cnf(c_0_136,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_132,c_0_32]) ).
cnf(c_0_137,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_97,c_0_124]) ).
cnf(c_0_138,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).
cnf(c_0_139,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ssPv1(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_136,c_0_137]) ).
cnf(c_0_140,negated_conjecture,
( ~ ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_138,c_0_32]) ).
cnf(c_0_141,negated_conjecture,
( ~ ssPv3(X1)
| ssPv1(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_139,c_0_32]) ).
cnf(c_0_142,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
inference(fof_simplification,[status(thm)],[clause34]) ).
cnf(c_0_143,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ssPv1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_140]),c_0_141]) ).
cnf(c_0_144,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3) ),
inference(fof_simplification,[status(thm)],[clause19]) ).
cnf(c_0_145,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv2(X3) ),
inference(fof_simplification,[status(thm)],[clause22]) ).
cnf(c_0_146,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
c_0_142 ).
cnf(c_0_147,negated_conjecture,
( ~ ssPv3(X1)
| ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_143,c_0_32]) ).
cnf(c_0_148,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3) ),
c_0_144 ).
cnf(c_0_149,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv4(X3) ),
inference(fof_simplification,[status(thm)],[clause21]) ).
cnf(c_0_150,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv2(X3) ),
c_0_145 ).
cnf(c_0_151,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(skf1(X1))
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_146,c_0_32]) ).
cnf(c_0_152,negated_conjecture,
ssPv1(X1),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_147]),c_0_105]),c_0_98]),c_0_147]) ).
cnf(c_0_153,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_148,c_0_32]) ).
cnf(c_0_154,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_137]) ).
cnf(c_0_155,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv4(X3) ),
c_0_149 ).
cnf(c_0_156,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_150,c_0_32]) ).
cnf(c_0_157,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_151,c_0_152])]),c_0_124]) ).
cnf(c_0_158,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_32]) ).
cnf(c_0_159,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_154,c_0_32]) ).
cnf(c_0_160,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ssPv2(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_155,c_0_32]) ).
cnf(c_0_161,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_156,c_0_32]) ).
cnf(c_0_162,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_157,c_0_32]) ).
cnf(c_0_163,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(skf1(X1))
| ssPv2(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_160,c_0_32]) ).
cnf(c_0_165,negated_conjecture,
( ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_152])]) ).
cnf(c_0_166,negated_conjecture,
( ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_162,c_0_124]) ).
cnf(c_0_167,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_163]),c_0_124]) ).
cnf(c_0_168,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv1(X3) ),
inference(fof_simplification,[status(thm)],[clause31]) ).
cnf(c_0_169,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv2(X1)
| ssPv4(skf1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_164,c_0_152])]) ).
cnf(c_0_170,negated_conjecture,
( ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_171,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv1(X3) ),
c_0_168 ).
cnf(c_0_172,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_162]) ).
cnf(c_0_173,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv1(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_171,c_0_32]) ).
cnf(c_0_174,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_172]),c_0_166]) ).
cnf(c_0_175,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(skf1(X1))
| ~ ssPv4(X1)
| ssPv1(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_173,c_0_32]) ).
cnf(c_0_176,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv2(skf1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_119,c_0_141]),c_0_167]),c_0_131]) ).
cnf(c_0_177,negated_conjecture,
ssPv3(skf1(X1)),
inference(spm,[status(thm)],[c_0_174,c_0_32]) ).
cnf(c_0_178,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv1(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_175,c_0_176]) ).
cnf(c_0_179,negated_conjecture,
( ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_165,c_0_177])]) ).
cnf(c_0_180,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_119,c_0_178]) ).
cnf(c_0_181,negated_conjecture,
( ssPv2(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_169,c_0_179]) ).
cnf(c_0_182,negated_conjecture,
ssPv2(X1),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_177])]),c_0_179]) ).
cnf(c_0_183,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X4) ),
inference(fof_simplification,[status(thm)],[clause47]) ).
cnf(c_0_184,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_152])]),c_0_182])]),c_0_157]) ).
cnf(c_0_185,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X4) ),
c_0_183 ).
cnf(c_0_186,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_184,c_0_32]) ).
cnf(c_0_187,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssRr(X1,X3)
| ~ ssPv1(X1)
| ~ ssPv2(X3)
| ~ ssPv3(X2)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_185,c_0_32]) ).
cnf(c_0_188,negated_conjecture,
~ ssPv4(skf1(X1)),
inference(spm,[status(thm)],[c_0_186,c_0_32]) ).
cnf(c_0_189,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_187,c_0_152])]),c_0_182])]),c_0_188]) ).
cnf(c_0_190,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_189,c_0_32]) ).
cnf(c_0_191,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_190,c_0_32]),c_0_177])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 11:12:20 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.43 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.46 % Version: 3.5.1
% 0.13/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.46 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.46 % Starting sh5l with 300s (1) cores
% 0.13/0.46 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 949504 completed with status 0
% 0.13/0.46 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.13/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.46 % No SInE strategy applied
% 0.13/0.46 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.13/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.46 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.13/0.46 % Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.13/0.46 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.13/0.46 % G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 949511 completed with status 0
% 0.13/0.46 % Result found by G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.13/0.46 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.13/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.13/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.46 % No SInE strategy applied
% 0.13/0.46 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.13/0.46 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.46 % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.46 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.13/0.46 % Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 136s (1) cores
% 0.13/0.46 % Preprocessing time : 0.001 s
% 0.13/0.46 % Presaturation interreduction done
% 0.13/0.46
% 0.13/0.46 % Proof found!
% 0.13/0.46 % SZS status Unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation
% See solution above
% 0.13/0.46 % Parsed axioms : 51
% 0.13/0.46 % Removed by relevancy pruning/SinE : 0
% 0.13/0.46 % Initial clauses : 51
% 0.13/0.46 % Removed in clause preprocessing : 0
% 0.13/0.46 % Initial clauses in saturation : 51
% 0.13/0.46 % Processed clauses : 307
% 0.13/0.46 % ...of these trivial : 7
% 0.13/0.46 % ...subsumed : 46
% 0.13/0.46 % ...remaining for further processing : 254
% 0.13/0.46 % Other redundant clauses eliminated : 0
% 0.31/0.46 % Clauses deleted for lack of memory : 0
% 0.31/0.46 % Backward-subsumed : 111
% 0.31/0.46 % Backward-rewritten : 88
% 0.31/0.46 % Generated clauses : 374
% 0.31/0.46 % ...of the previous two non-redundant : 281
% 0.31/0.46 % ...aggressively subsumed : 0
% 0.31/0.46 % Contextual simplify-reflections : 42
% 0.31/0.46 % Paramodulations : 374
% 0.31/0.46 % Factorizations : 0
% 0.31/0.46 % NegExts : 0
% 0.31/0.46 % Equation resolutions : 0
% 0.31/0.46 % Disequality decompositions : 0
% 0.31/0.46 % Total rewrite steps : 137
% 0.31/0.46 % ...of those cached : 125
% 0.31/0.46 % Propositional unsat checks : 0
% 0.31/0.46 % Propositional check models : 0
% 0.31/0.46 % Propositional check unsatisfiable : 0
% 0.31/0.46 % Propositional clauses : 0
% 0.31/0.46 % Propositional clauses after purity: 0
% 0.31/0.46 % Propositional unsat core size : 0
% 0.31/0.46 % Propositional preprocessing time : 0.000
% 0.31/0.46 % Propositional encoding time : 0.000
% 0.31/0.46 % Propositional solver time : 0.000
% 0.31/0.46 % Success case prop preproc time : 0.000
% 0.31/0.46 % Success case prop encoding time : 0.000
% 0.31/0.46 % Success case prop solver time : 0.000
% 0.31/0.46 % Current number of processed clauses : 10
% 0.31/0.46 % Positive orientable unit clauses : 4
% 0.31/0.46 % Positive unorientable unit clauses: 0
% 0.31/0.46 % Negative unit clauses : 1
% 0.31/0.46 % Non-unit-clauses : 5
% 0.31/0.46 % Current number of unprocessed clauses: 32
% 0.31/0.46 % ...number of literals in the above : 193
% 0.31/0.46 % Current number of archived formulas : 0
% 0.31/0.46 % Current number of archived clauses : 244
% 0.31/0.46 % Clause-clause subsumption calls (NU) : 1027
% 0.31/0.46 % Rec. Clause-clause subsumption calls : 754
% 0.31/0.46 % Non-unit clause-clause subsumptions : 188
% 0.31/0.46 % Unit Clause-clause subsumption calls : 15
% 0.31/0.46 % Rewrite failures with RHS unbound : 0
% 0.31/0.46 % BW rewrite match attempts : 12
% 0.31/0.46 % BW rewrite match successes : 12
% 0.31/0.46 % Condensation attempts : 0
% 0.31/0.46 % Condensation successes : 0
% 0.31/0.46 % Termbank termtop insertions : 11897
% 0.31/0.46 % Search garbage collected termcells : 210
% 0.31/0.46
% 0.31/0.46 % -------------------------------------------------
% 0.31/0.46 % User time : 0.013 s
% 0.31/0.46 % System time : 0.005 s
% 0.31/0.46 % Total time : 0.018 s
% 0.31/0.46 % Maximum resident set size: 3668 pages
% 0.31/0.46
% 0.31/0.46 % -------------------------------------------------
% 0.31/0.46 % User time : 0.054 s
% 0.31/0.46 % System time : 0.016 s
% 0.31/0.46 % Total time : 0.070 s
% 0.31/0.46 % Maximum resident set size: 4608 pages
% 0.31/0.46 % E exiting
%------------------------------------------------------------------------------