%------------------------------------------------------------------------------
% File : E-SAT---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 : n002.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 03:35:53 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.51s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 29
% Syntax : Number of clauses : 198 ( 6 unt; 128 nHn; 182 RR)
% Number of literals : 924 ( 0 equ; 553 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 : 428 ( 25 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(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(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(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(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(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(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(clause5,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
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(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(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(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(clause6,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
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(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(clause7,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
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(clause35,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
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(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(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(clause48,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
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(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_29,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_30,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_31,negated_conjecture,
( ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv1(X4)
| ssPv3(X3) ),
c_0_29 ).
cnf(c_0_32,negated_conjecture,
ssRr(X1,skf1(X1)),
clause1 ).
cnf(c_0_33,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1)
| ssPv3(X3) ),
c_0_30 ).
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) ),
inference(fof_simplification,[status(thm)],[clause10]) ).
cnf(c_0_36,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_37,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_38,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3)
| ssPv3(X2) ),
c_0_35 ).
cnf(c_0_39,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
inference(fof_simplification,[status(thm)],[clause3]) ).
cnf(c_0_40,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_41,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_42,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_43,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_44,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
inference(fof_simplification,[status(thm)],[clause5]) ).
cnf(c_0_45,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_32]) ).
cnf(c_0_46,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(skf1(X1))
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_32]) ).
cnf(c_0_47,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv2(X2)
| ssPv2(skf1(X2))
| ssPv3(X2)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_38,c_0_32]) ).
cnf(c_0_48,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv3(X1) ),
c_0_39 ).
cnf(c_0_49,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
c_0_40 ).
cnf(c_0_50,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
c_0_41 ).
cnf(c_0_51,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv2(X4)
| ssPv3(X3) ),
c_0_42 ).
cnf(c_0_52,negated_conjecture,
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X1) ),
inference(fof_simplification,[status(thm)],[clause2]) ).
cnf(c_0_53,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X3)
| ssPv4(X2) ),
c_0_43 ).
cnf(c_0_54,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv1(X1) ),
c_0_44 ).
cnf(c_0_55,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_47,c_0_32]) ).
cnf(c_0_57,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_48,c_0_32]) ).
cnf(c_0_58,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_32]) ).
cnf(c_0_59,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv3(X2)
| ssPv1(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_50,c_0_32]) ).
cnf(c_0_60,negated_conjecture,
( ~ ssRr(X2,X3)
| ~ ssRr(X2,X1)
| ~ ssPv4(X2)
| ~ ssPv4(X3)
| ssPv2(skf1(X2))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_32]) ).
cnf(c_0_61,negated_conjecture,
( ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X1)
| ssPv1(X1) ),
c_0_52 ).
cnf(c_0_62,negated_conjecture,
( ~ ssRr(X2,X1)
| ssPv1(skf1(X2))
| ssPv2(X2)
| ssPv3(X2)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_32]) ).
cnf(c_0_63,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf1(X1))
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_64,negated_conjecture,
( ~ ssPv2(X1)
| ssPv3(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_58,c_0_32]) ).
cnf(c_0_66,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_59,c_0_32]) ).
cnf(c_0_67,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_68,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_60,c_0_32]) ).
cnf(c_0_69,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_32]) ).
cnf(c_0_70,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_71,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_72,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_63,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1) ),
c_0_67 ).
cnf(c_0_74,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_68,c_0_32]) ).
cnf(c_0_75,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_69,c_0_70]) ).
cnf(c_0_76,negated_conjecture,
( ~ ssPv2(X1)
| ssPv1(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_56]),c_0_72]) ).
cnf(c_0_77,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(skf1(X1))
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_32]) ).
cnf(c_0_78,negated_conjecture,
( ~ ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_76]),c_0_71]) ).
cnf(c_0_79,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_80,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_81,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1)
| ssPv4(X3) ),
c_0_79 ).
cnf(c_0_82,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_83,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv1(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_80,c_0_32]) ).
cnf(c_0_84,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv4(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_81,c_0_32]) ).
cnf(c_0_85,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_86,negated_conjecture,
( ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X1) ),
c_0_82 ).
cnf(c_0_87,negated_conjecture,
( ~ ssPv4(X1)
| ssPv1(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_75]),c_0_76]) ).
cnf(c_0_88,negated_conjecture,
( ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv4(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_84,c_0_32]) ).
cnf(c_0_89,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
inference(fof_simplification,[status(thm)],[clause6]) ).
cnf(c_0_90,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv1(X1)
| ssPv3(X3) ),
c_0_85 ).
cnf(c_0_91,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[c_0_86,c_0_81]) ).
cnf(c_0_92,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_87]) ).
cnf(c_0_93,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1)
| ssPv4(X1)
| ssPv4(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_70]),c_0_88]) ).
cnf(c_0_94,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_95,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X1)
| ~ ssRr(X1,X2)
| ssPv3(X2) ),
c_0_89 ).
cnf(c_0_96,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_97,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_98,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_90,c_0_32]) ).
cnf(c_0_99,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_91,c_0_32]) ).
cnf(c_0_100,negated_conjecture,
( ssPv3(X1)
| ssPv3(skf1(X1))
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_64]) ).
cnf(c_0_101,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
inference(fof_simplification,[status(thm)],[clause7]) ).
cnf(c_0_102,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv1(X3) ),
c_0_94 ).
cnf(c_0_103,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_95,c_0_32]) ).
cnf(c_0_104,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv3(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1) ),
c_0_96 ).
cnf(c_0_105,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv4(X3) ),
c_0_97 ).
cnf(c_0_106,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_98,c_0_32]) ).
cnf(c_0_107,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_64]) ).
cnf(c_0_108,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv3(X1)
| ~ ssPv2(X1)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2) ),
c_0_101 ).
cnf(c_0_109,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv1(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_102,c_0_32]) ).
cnf(c_0_110,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_103]),c_0_54]) ).
cnf(c_0_111,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv3(X2)
| ssPv1(X1) ),
inference(csr,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_112,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_106,c_0_87]) ).
cnf(c_0_113,negated_conjecture,
( ssPv3(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_107,c_0_32]) ).
cnf(c_0_114,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_115,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ~ ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_108,c_0_32]) ).
cnf(c_0_116,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(skf1(X1))
| ~ ssPv4(X1)
| ssPv1(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_109,c_0_32]) ).
cnf(c_0_117,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_110,c_0_32]) ).
cnf(c_0_118,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_111,c_0_32]) ).
cnf(c_0_119,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_112,c_0_113]) ).
cnf(c_0_120,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1) ),
inference(fof_simplification,[status(thm)],[clause35]) ).
cnf(c_0_121,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv1(X2)
| ~ ssRr(X1,X2)
| ssPv3(X1)
| ssPv2(X3) ),
c_0_114 ).
cnf(c_0_122,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(skf1(X1))
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_115,c_0_116]) ).
cnf(c_0_123,negated_conjecture,
( ~ ssPv4(X1)
| ssPv2(skf1(X1))
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_74,c_0_113]) ).
cnf(c_0_124,negated_conjecture,
( ~ ssPv2(X1)
| ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_64]),c_0_56]),c_0_64]) ).
cnf(c_0_125,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv3(X1)
| ssPv1(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_126,negated_conjecture,
( ~ ssPv4(X1)
| ~ ssPv1(X3)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1) ),
c_0_120 ).
cnf(c_0_127,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X2)
| ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_121,c_0_32]) ).
cnf(c_0_128,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv1(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_99,c_0_119]) ).
cnf(c_0_129,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_123]),c_0_124]) ).
cnf(c_0_130,negated_conjecture,
( ~ ssPv3(X1)
| ssPv1(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_125,c_0_32]) ).
cnf(c_0_131,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(skf1(X1))
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_126,c_0_32]) ).
cnf(c_0_132,negated_conjecture,
( ~ ssPv1(skf1(X1))
| ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_127,c_0_32]) ).
cnf(c_0_133,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_32]) ).
cnf(c_0_134,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X1)
| ssPv1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_129]),c_0_130]),c_0_87]) ).
cnf(c_0_135,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv2(skf1(X1))
| ~ ssPv4(X1)
| ssPv2(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_131,c_0_76]) ).
cnf(c_0_136,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_137,negated_conjecture,
( ~ ssPv4(X1)
| ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_134,c_0_32]) ).
cnf(c_0_138,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_123]),c_0_129]) ).
cnf(c_0_139,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_140,negated_conjecture,
( ~ ssPv2(X1)
| ssPv2(skf1(X1))
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_136]),c_0_113]) ).
cnf(c_0_141,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ~ ssPv4(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_137]),c_0_117]) ).
cnf(c_0_142,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_143,negated_conjecture,
( ~ ssPv4(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_32]),c_0_123]) ).
cnf(c_0_144,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv4(X1)
| ssPv2(X3) ),
c_0_139 ).
cnf(c_0_145,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(X1)
| ssPv2(skf1(X1)) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_133]),c_0_140]),c_0_141]) ).
cnf(c_0_146,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv2(X3) ),
c_0_142 ).
cnf(c_0_147,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv4(X2)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_143]),c_0_113]) ).
cnf(c_0_148,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_149,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X1)
| ~ ssPv4(X2)
| ssPv2(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_144,c_0_32]) ).
cnf(c_0_150,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_122,c_0_145]) ).
cnf(c_0_151,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv3(X2)
| ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_146,c_0_32]) ).
cnf(c_0_152,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_153,negated_conjecture,
( ~ ssPv4(skf1(X1))
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_147,c_0_32]) ).
cnf(c_0_154,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv2(X2)
| ssPv2(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_131,c_0_70]),c_0_93]) ).
cnf(c_0_155,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv2(X1)
| ssPv4(X3) ),
c_0_148 ).
cnf(c_0_156,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv4(skf1(X1))
| ssPv2(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_149,c_0_32]) ).
cnf(c_0_157,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_88]) ).
cnf(c_0_158,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv2(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_151,c_0_32]) ).
cnf(c_0_159,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4) ),
inference(fof_simplification,[status(thm)],[clause48]) ).
cnf(c_0_160,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssRr(X1,X4)
| ~ ssRr(X1,X3)
| ~ ssPv2(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4)
| ssPv4(X3) ),
c_0_152 ).
cnf(c_0_161,negated_conjecture,
( ssPv3(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_153,c_0_113]) ).
cnf(c_0_162,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv2(X1)
| ssPv3(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_154,c_0_32]) ).
cnf(c_0_163,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_164,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv2(skf1(X1))
| ~ ssPv3(skf1(X1))
| ssPv1(X1) ),
inference(spm,[status(thm)],[c_0_150,c_0_66]) ).
cnf(c_0_165,negated_conjecture,
( ~ ssPv2(X1)
| ~ ssPv3(skf1(X1))
| ssPv1(X1)
| ssPv2(skf1(X1))
| ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_156,c_0_66]) ).
cnf(c_0_166,negated_conjecture,
( ~ ssPv3(skf1(X1))
| ssPv2(X1)
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_133]) ).
cnf(c_0_167,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2)
| ssPv3(X4) ),
c_0_159 ).
cnf(c_0_168,negated_conjecture,
( ~ ssRr(X2,X3)
| ~ ssRr(X2,X1)
| ~ ssPv2(X3)
| ssPv3(skf1(X2))
| ssPv4(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_32]),c_0_161]) ).
cnf(c_0_169,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ssPv2(X1)
| ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_153,c_0_162]) ).
cnf(c_0_170,negated_conjecture,
( ssPv1(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_137]),c_0_75]),c_0_76]) ).
cnf(c_0_171,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssPv2(skf1(X1))
| ssPv2(X1)
| ssPv4(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_163,c_0_32]) ).
cnf(c_0_172,negated_conjecture,
( ~ ssPv3(skf1(X1))
| ssPv1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_165]),c_0_166]),c_0_137]) ).
cnf(c_0_173,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ~ ssPv2(X2)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_32]),c_0_168]) ).
cnf(c_0_174,negated_conjecture,
( ssPv2(X1)
| ssPv3(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_158]),c_0_170]),c_0_161]) ).
cnf(c_0_175,negated_conjecture,
( ~ ssPv2(skf1(X1))
| ~ ssPv3(skf1(X1))
| ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_171]),c_0_172]) ).
cnf(c_0_176,negated_conjecture,
( ~ ssRr(X1,X2)
| ~ ssPv1(X1)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_32]),c_0_174]) ).
cnf(c_0_177,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_178,negated_conjecture,
( ~ ssPv3(skf1(X1))
| ssPv2(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_175,c_0_158]),c_0_172]) ).
cnf(c_0_179,negated_conjecture,
( ~ ssPv1(X1)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_176,c_0_32]) ).
cnf(c_0_180,negated_conjecture,
( ssPv1(X1)
| ssPv2(X1) ),
inference(spm,[status(thm)],[c_0_172,c_0_119]) ).
cnf(c_0_181,negated_conjecture,
( ~ ssPv3(X1)
| ~ ssPv1(X4)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv4(X2)
| ~ ssRr(X1,X2) ),
c_0_177 ).
cnf(c_0_182,negated_conjecture,
ssPv2(X1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).
cnf(c_0_183,negated_conjecture,
( ~ ssRr(X3,X1)
| ~ ssRr(X3,X4)
| ~ ssRr(X3,X2)
| ~ ssPv1(X2)
| ~ ssPv4(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_181,c_0_182])]),c_0_147]) ).
cnf(c_0_184,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv1(skf1(X2))
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_183,c_0_32]) ).
cnf(c_0_185,negated_conjecture,
( ~ ssRr(X2,X3)
| ~ ssRr(X2,X1)
| ssPv3(skf1(X2))
| ssPv4(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_168,c_0_182])]) ).
cnf(c_0_186,negated_conjecture,
( ~ ssRr(X1,X3)
| ~ ssRr(X1,X2)
| ssPv3(skf1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_184,c_0_170]),c_0_185]) ).
cnf(c_0_187,negated_conjecture,
( ~ ssRr(X1,X2)
| ssPv3(skf1(X1)) ),
inference(spm,[status(thm)],[c_0_186,c_0_32]) ).
cnf(c_0_188,negated_conjecture,
ssPv3(skf1(X1)),
inference(spm,[status(thm)],[c_0_187,c_0_32]) ).
cnf(c_0_189,negated_conjecture,
ssPv1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_172,c_0_188])]) ).
cnf(c_0_190,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_191,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv4(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_189])]) ).
cnf(c_0_192,negated_conjecture,
( ~ ssPv1(X1)
| ~ ssRr(X1,X4)
| ~ ssPv2(X3)
| ~ ssRr(X1,X3)
| ~ ssPv3(X2)
| ~ ssRr(X1,X2)
| ssPv4(X4) ),
c_0_190 ).
cnf(c_0_193,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv4(X1) ),
inference(spm,[status(thm)],[c_0_191,c_0_32]) ).
cnf(c_0_194,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X4)
| ~ ssRr(X2,X3)
| ~ ssPv3(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_182])]),c_0_189])]),c_0_193]) ).
cnf(c_0_195,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssRr(X2,X3)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_194,c_0_32]) ).
cnf(c_0_196,negated_conjecture,
( ~ ssRr(X2,X1)
| ~ ssPv3(X1) ),
inference(spm,[status(thm)],[c_0_195,c_0_32]) ).
cnf(c_0_197,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_196,c_0_32]),c_0_188])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN755-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:17:02 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.44 Running first-order theorem proving
% 0.15/0.44 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
% 0.15/0.51 % Version: 3.5.1
% 0.15/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.51 % Starting sh5l with 300s (1) cores
% 0.15/0.51 % new_bool_3 with pid 3161385 completed with status 0
% 0.15/0.51 % Result found by new_bool_3
% 0.15/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.15/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.51 % SubtermCWHack with pid 3161388 completed with status 0
% 0.15/0.51 % Result found by SubtermCWHack
% 0.15/0.51 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.51 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.51 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.51 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.51 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.51 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.51 % Search class: FGHNF-FFMF11-SFFFFFNN
% 0.15/0.51 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.51 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.51 % Preprocessing time : 0.002 s
% 0.15/0.51
% 0.15/0.51 % Proof found!
% 0.15/0.51 % SZS status Unsatisfiable
% 0.15/0.51 % SZS output start CNFRefutation
% See solution above
% 0.15/0.51 % Parsed axioms : 51
% 0.15/0.51 % Removed by relevancy pruning/SinE : 0
% 0.15/0.51 % Initial clauses : 51
% 0.15/0.51 % Removed in clause preprocessing : 0
% 0.15/0.51 % Initial clauses in saturation : 51
% 0.15/0.51 % Processed clauses : 262
% 0.15/0.51 % ...of these trivial : 1
% 0.15/0.51 % ...subsumed : 51
% 0.15/0.51 % ...remaining for further processing : 210
% 0.15/0.51 % Other redundant clauses eliminated : 0
% 0.15/0.51 % Clauses deleted for lack of memory : 0
% 0.15/0.51 % Backward-subsumed : 134
% 0.15/0.51 % Backward-rewritten : 65
% 0.15/0.51 % Generated clauses : 389
% 0.15/0.51 % ...of the previous two non-redundant : 259
% 0.15/0.51 % ...aggressively subsumed : 0
% 0.15/0.51 % Contextual simplify-reflections : 51
% 0.15/0.51 % Paramodulations : 389
% 0.15/0.51 % Factorizations : 0
% 0.15/0.51 % NegExts : 0
% 0.15/0.51 % Equation resolutions : 0
% 0.15/0.51 % Disequality decompositions : 0
% 0.15/0.51 % Total rewrite steps : 99
% 0.15/0.51 % ...of those cached : 85
% 0.15/0.51 % Propositional unsat checks : 0
% 0.15/0.51 % Propositional check models : 0
% 0.15/0.51 % Propositional check unsatisfiable : 0
% 0.15/0.51 % Propositional clauses : 0
% 0.15/0.51 % Propositional clauses after purity: 0
% 0.15/0.51 % Propositional unsat core size : 0
% 0.15/0.51 % Propositional preprocessing time : 0.000
% 0.15/0.51 % Propositional encoding time : 0.000
% 0.15/0.51 % Propositional solver time : 0.000
% 0.15/0.51 % Success case prop preproc time : 0.000
% 0.15/0.51 % Success case prop encoding time : 0.000
% 0.15/0.51 % Success case prop solver time : 0.000
% 0.15/0.51 % Current number of processed clauses : 11
% 0.15/0.51 % Positive orientable unit clauses : 4
% 0.15/0.51 % Positive unorientable unit clauses: 0
% 0.15/0.51 % Negative unit clauses : 1
% 0.15/0.51 % Non-unit-clauses : 6
% 0.15/0.51 % Current number of unprocessed clauses: 3
% 0.15/0.51 % ...number of literals in the above : 18
% 0.15/0.51 % Current number of archived formulas : 0
% 0.15/0.51 % Current number of archived clauses : 199
% 0.15/0.51 % Clause-clause subsumption calls (NU) : 1019
% 0.15/0.51 % Rec. Clause-clause subsumption calls : 721
% 0.15/0.51 % Non-unit clause-clause subsumptions : 228
% 0.15/0.51 % Unit Clause-clause subsumption calls : 12
% 0.15/0.51 % Rewrite failures with RHS unbound : 0
% 0.15/0.51 % BW rewrite match attempts : 13
% 0.15/0.51 % BW rewrite match successes : 13
% 0.15/0.51 % Condensation attempts : 0
% 0.15/0.51 % Condensation successes : 0
% 0.15/0.51 % Termbank termtop insertions : 11078
% 0.15/0.51 % Search garbage collected termcells : 210
% 0.15/0.51
% 0.15/0.51 % -------------------------------------------------
% 0.15/0.51 % User time : 0.038 s
% 0.15/0.51 % System time : 0.002 s
% 0.15/0.51 % Total time : 0.040 s
% 0.15/0.51 % Maximum resident set size: 3672 pages
% 0.15/0.51
% 0.15/0.51 % -------------------------------------------------
% 0.15/0.51 % User time : 0.041 s
% 0.15/0.51 % System time : 0.009 s
% 0.15/0.51 % Total time : 0.050 s
% 0.15/0.51 % Maximum resident set size: 4864 pages
% 0.15/0.51 % E exiting
%------------------------------------------------------------------------------