%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 03:21:55 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 27
% Syntax : Number of clauses : 118 ( 34 unt; 0 nHn; 118 RR)
% Number of literals : 486 ( 0 equ; 376 neg)
% Maximal clause size : 6 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_18,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18) ).
cnf(clause_15,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_15) ).
cnf(clause_23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_23) ).
cnf(clause_24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24) ).
cnf(clause_25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_25) ).
cnf(clause_26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26) ).
cnf(clause_27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27) ).
cnf(clause_19,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_19) ).
cnf(clause_14,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_14) ).
cnf(clause_13,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_17,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17) ).
cnf(clause_20,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_20) ).
cnf(clause_21,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21) ).
cnf(clause_16,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16) ).
cnf(clause_22,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_22) ).
cnf(clause_12,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_11,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_11) ).
cnf(clause_10,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_10) ).
cnf(clause_9,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(clause_8,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_2,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_7,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_6,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_5,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_4,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_3,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c_0_27,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(fof_simplification,[status(thm)],[clause_18]) ).
cnf(c_0_28,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(fof_simplification,[status(thm)],[clause_15]) ).
cnf(c_0_29,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
c_0_27 ).
cnf(c_0_30,negated_conjecture,
p_5_1,
clause_23 ).
cnf(c_0_31,negated_conjecture,
p_5_2,
clause_24 ).
cnf(c_0_32,negated_conjecture,
p_5_3,
clause_25 ).
cnf(c_0_33,negated_conjecture,
p_5_4,
clause_26 ).
cnf(c_0_34,negated_conjecture,
p_5_5,
clause_27 ).
cnf(c_0_35,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(fof_simplification,[status(thm)],[clause_19]) ).
cnf(c_0_36,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(fof_simplification,[status(thm)],[clause_14]) ).
cnf(c_0_37,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(fof_simplification,[status(thm)],[clause_13]) ).
cnf(c_0_38,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_17]) ).
cnf(c_0_39,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(fof_simplification,[status(thm)],[clause_20]) ).
cnf(c_0_40,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
c_0_28 ).
cnf(c_0_41,negated_conjecture,
p_4_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_42,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
c_0_35 ).
cnf(c_0_43,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
c_0_36 ).
cnf(c_0_44,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
c_0_37 ).
cnf(c_0_45,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
c_0_38 ).
cnf(c_0_46,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
c_0_39 ).
cnf(c_0_47,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(fof_simplification,[status(thm)],[clause_21]) ).
cnf(c_0_48,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(fof_simplification,[status(thm)],[clause_16]) ).
cnf(c_0_49,negated_conjecture,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]) ).
cnf(c_0_50,negated_conjecture,
p_4_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_51,negated_conjecture,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_41])]) ).
cnf(c_0_52,negated_conjecture,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_41])]) ).
cnf(c_0_53,negated_conjecture,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_41])]) ).
cnf(c_0_54,negated_conjecture,
p_4_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_55,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
c_0_47 ).
cnf(c_0_56,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_22]) ).
cnf(c_0_57,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
c_0_48 ).
cnf(c_0_58,negated_conjecture,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_50])]) ).
cnf(c_0_59,negated_conjecture,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_50])]) ).
cnf(c_0_60,negated_conjecture,
( ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_50])]) ).
cnf(c_0_61,negated_conjecture,
( ~ p_4_4
| ~ p_4_5
| p_3_5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_50])]),c_0_54])]) ).
cnf(c_0_62,negated_conjecture,
p_4_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_63,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
c_0_56 ).
cnf(c_0_64,negated_conjecture,
( ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_41])]) ).
cnf(c_0_65,negated_conjecture,
( ~ p_4_4
| ~ p_4_5
| p_3_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_54])]) ).
cnf(c_0_66,negated_conjecture,
( ~ p_4_4
| ~ p_4_5
| p_3_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_54])]) ).
cnf(c_0_67,negated_conjecture,
( ~ p_4_4
| ~ p_4_5
| p_3_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_54])]) ).
cnf(c_0_68,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_12]) ).
cnf(c_0_69,negated_conjecture,
( ~ p_4_5
| p_3_5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]) ).
cnf(c_0_70,negated_conjecture,
p_4_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34])]) ).
cnf(c_0_71,negated_conjecture,
( ~ p_4_4
| ~ p_4_5
| p_3_4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_50])]),c_0_54])]) ).
cnf(c_0_72,negated_conjecture,
( ~ p_4_5
| p_3_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_62])]) ).
cnf(c_0_73,negated_conjecture,
( ~ p_4_5
| p_3_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_62])]) ).
cnf(c_0_74,negated_conjecture,
( ~ p_4_5
| p_3_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_62])]) ).
cnf(c_0_75,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(fof_simplification,[status(thm)],[clause_11]) ).
cnf(c_0_76,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(fof_simplification,[status(thm)],[clause_10]) ).
cnf(c_0_77,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(fof_simplification,[status(thm)],[clause_9]) ).
cnf(c_0_78,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(fof_simplification,[status(thm)],[clause_8]) ).
cnf(c_0_79,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(fof_simplification,[status(thm)],[clause_2]) ).
cnf(c_0_80,negated_conjecture,
~ p_0,
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_81,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(fof_simplification,[status(thm)],[clause_7]) ).
cnf(c_0_82,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
c_0_68 ).
cnf(c_0_83,negated_conjecture,
p_3_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_70])]) ).
cnf(c_0_84,negated_conjecture,
p_3_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_62])]),c_0_70])]) ).
cnf(c_0_85,negated_conjecture,
p_3_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_70])]) ).
cnf(c_0_86,negated_conjecture,
p_3_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_70])]) ).
cnf(c_0_87,negated_conjecture,
p_3_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_70])]) ).
cnf(c_0_88,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
c_0_75 ).
cnf(c_0_89,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
c_0_76 ).
cnf(c_0_90,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
c_0_77 ).
cnf(c_0_91,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
c_0_78 ).
cnf(c_0_92,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
c_0_79 ).
cnf(c_0_93,negated_conjecture,
~ p_0,
c_0_80 ).
cnf(c_0_94,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
c_0_81 ).
cnf(c_0_95,negated_conjecture,
p_2_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_96,negated_conjecture,
p_2_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_97,negated_conjecture,
p_2_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_98,negated_conjecture,
p_2_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_99,negated_conjecture,
p_2_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_100,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(fof_simplification,[status(thm)],[clause_6]) ).
cnf(c_0_101,negated_conjecture,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(sr,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_102,negated_conjecture,
p_1_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).
cnf(c_0_103,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
c_0_100 ).
cnf(c_0_104,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_105,negated_conjecture,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_102])]) ).
cnf(c_0_106,negated_conjecture,
p_1_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_95])]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).
cnf(c_0_107,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
c_0_104 ).
cnf(c_0_108,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(fof_simplification,[status(thm)],[clause_4]) ).
cnf(c_0_109,negated_conjecture,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_110,negated_conjecture,
p_1_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_95])]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).
cnf(c_0_111,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
c_0_108 ).
cnf(c_0_112,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(fof_simplification,[status(thm)],[clause_3]) ).
cnf(c_0_113,negated_conjecture,
( ~ p_1_1
| ~ p_1_2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_110])]) ).
cnf(c_0_114,negated_conjecture,
p_1_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_111,c_0_95])]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]) ).
cnf(c_0_115,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
c_0_112 ).
cnf(c_0_116,negated_conjecture,
~ p_1_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_113,c_0_114])]) ).
cnf(c_0_117,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_95])]),c_0_96]),c_0_97]),c_0_98]),c_0_99])]),c_0_116]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n020.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 10:40:02 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 0.15/0.44 % Version: 3.5.1
% 0.15/0.44 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 % Starting sh5l with 300s (1) cores
% 0.15/0.44 % new_bool_3 with pid 2708864 completed with status 0
% 0.15/0.44 % Result found by new_bool_3
% 0.15/0.44 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FHUNF-FFSS00-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % SubtermCWHack with pid 2708870 completed with status 0
% 0.15/0.44 % Result found by SubtermCWHack
% 0.15/0.44 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.15/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.15/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.15/0.44 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 % Search class: FHUNF-FFSS00-SFFFFFNN
% 0.15/0.44 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.44 % Preprocessing time : 0.001 s
% 0.15/0.44
% 0.15/0.44 % Proof found!
% 0.15/0.44 % SZS status Unsatisfiable
% 0.15/0.44 % SZS output start CNFRefutation
% See solution above
% 0.15/0.44 % Parsed axioms : 27
% 0.15/0.44 % Removed by relevancy pruning/SinE : 0
% 0.15/0.44 % Initial clauses : 27
% 0.15/0.44 % Removed in clause preprocessing : 0
% 0.15/0.44 % Initial clauses in saturation : 27
% 0.15/0.44 % Processed clauses : 63
% 0.15/0.44 % ...of these trivial : 0
% 0.15/0.44 % ...subsumed : 0
% 0.15/0.44 % ...remaining for further processing : 62
% 0.15/0.44 % Other redundant clauses eliminated : 0
% 0.15/0.44 % Clauses deleted for lack of memory : 0
% 0.15/0.44 % Backward-subsumed : 0
% 0.15/0.44 % Backward-rewritten : 36
% 0.15/0.44 % Generated clauses : 1
% 0.15/0.44 % ...of the previous two non-redundant : 37
% 0.15/0.44 % ...aggressively subsumed : 0
% 0.15/0.44 % Contextual simplify-reflections : 0
% 0.15/0.44 % Paramodulations : 1
% 0.15/0.44 % Factorizations : 0
% 0.15/0.44 % NegExts : 0
% 0.15/0.44 % Equation resolutions : 0
% 0.15/0.44 % Disequality decompositions : 0
% 0.15/0.44 % Total rewrite steps : 104
% 0.15/0.44 % ...of those cached : 80
% 0.15/0.44 % Propositional unsat checks : 0
% 0.15/0.44 % Propositional check models : 0
% 0.15/0.44 % Propositional check unsatisfiable : 0
% 0.15/0.44 % Propositional clauses : 0
% 0.15/0.44 % Propositional clauses after purity: 0
% 0.15/0.44 % Propositional unsat core size : 0
% 0.15/0.44 % Propositional preprocessing time : 0.000
% 0.15/0.44 % Propositional encoding time : 0.000
% 0.15/0.44 % Propositional solver time : 0.000
% 0.15/0.44 % Success case prop preproc time : 0.000
% 0.15/0.44 % Success case prop encoding time : 0.000
% 0.15/0.44 % Success case prop solver time : 0.000
% 0.15/0.44 % Current number of processed clauses : 26
% 0.15/0.44 % Positive orientable unit clauses : 24
% 0.15/0.44 % Positive unorientable unit clauses: 0
% 0.15/0.44 % Negative unit clauses : 2
% 0.15/0.44 % Non-unit-clauses : 0
% 0.15/0.44 % Current number of unprocessed clauses: 0
% 0.15/0.44 % ...number of literals in the above : 0
% 0.15/0.44 % Current number of archived formulas : 0
% 0.15/0.44 % Current number of archived clauses : 36
% 0.15/0.44 % Clause-clause subsumption calls (NU) : 101
% 0.15/0.44 % Rec. Clause-clause subsumption calls : 25
% 0.15/0.44 % Non-unit clause-clause subsumptions : 0
% 0.15/0.44 % Unit Clause-clause subsumption calls : 70
% 0.15/0.44 % Rewrite failures with RHS unbound : 0
% 0.15/0.44 % BW rewrite match attempts : 11
% 0.15/0.44 % BW rewrite match successes : 11
% 0.15/0.44 % Condensation attempts : 0
% 0.15/0.44 % Condensation successes : 0
% 0.15/0.44 % Termbank termtop insertions : 1515
% 0.15/0.44 % Search garbage collected termcells : 131
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.004 s
% 0.15/0.44 % System time : 0.001 s
% 0.15/0.44 % Total time : 0.005 s
% 0.15/0.44 % Maximum resident set size: 3652 pages
% 0.15/0.44
% 0.15/0.44 % -------------------------------------------------
% 0.15/0.44 % User time : 0.004 s
% 0.15/0.44 % System time : 0.007 s
% 0.15/0.44 % Total time : 0.011 s
% 0.15/0.44 % Maximum resident set size: 4864 pages
% 0.15/0.44 % E exiting
%------------------------------------------------------------------------------