TSTP Solution File: SYN010-1.005.005 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat May 4 10:18:11 EDT 2024
% Result : Unsatisfiable 0.17s 0.43s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of clauses : 106 ( 34 unt; 0 nHn; 106 RR)
% Number of literals : 446 ( 0 equ; 347 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_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_18) ).
cnf(clause_19,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_19) ).
cnf(clause_13,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_13) ).
cnf(clause_23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_23) ).
cnf(clause_24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_24) ).
cnf(clause_25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_25) ).
cnf(clause_26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_26) ).
cnf(clause_27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_27) ).
cnf(clause_20,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_20) ).
cnf(clause_22,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_22) ).
cnf(clause_21,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_21) ).
cnf(clause_17,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_17) ).
cnf(clause_16,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_16) ).
cnf(clause_15,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_15) ).
cnf(clause_14,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_14) ).
cnf(clause_12,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_12) ).
cnf(clause_11,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_11) ).
cnf(clause_10,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_10) ).
cnf(clause_9,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_9) ).
cnf(clause_8,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_8) ).
cnf(clause_2,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_2) ).
cnf(clause_1,negated_conjecture,
~ p_0,
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_1) ).
cnf(clause_7,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_7) ).
cnf(clause_6,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_6) ).
cnf(clause_5,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_5) ).
cnf(clause_4,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_4) ).
cnf(clause_3,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
file('/export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p',clause_3) ).
cnf(c_0_27,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(fof_simplification,[status(thm)],[clause_18]) ).
cnf(c_0_28,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(fof_simplification,[status(thm)],[clause_19]) ).
cnf(c_0_29,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_13]) ).
cnf(c_0_30,negated_conjecture,
( p_4_1
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
c_0_27 ).
cnf(c_0_31,negated_conjecture,
p_5_1,
clause_23 ).
cnf(c_0_32,negated_conjecture,
p_5_2,
clause_24 ).
cnf(c_0_33,negated_conjecture,
p_5_3,
clause_25 ).
cnf(c_0_34,negated_conjecture,
p_5_4,
clause_26 ).
cnf(c_0_35,negated_conjecture,
p_5_5,
clause_27 ).
cnf(c_0_36,negated_conjecture,
( p_4_2
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
c_0_28 ).
cnf(c_0_37,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(fof_simplification,[status(thm)],[clause_20]) ).
cnf(c_0_38,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(fof_simplification,[status(thm)],[clause_22]) ).
cnf(c_0_39,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
inference(fof_simplification,[status(thm)],[clause_21]) ).
cnf(c_0_40,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_17]) ).
cnf(c_0_41,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_16]) ).
cnf(c_0_42,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_15]) ).
cnf(c_0_43,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
inference(fof_simplification,[status(thm)],[clause_14]) ).
cnf(c_0_44,negated_conjecture,
( p_3_1
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
c_0_29 ).
cnf(c_0_45,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_30,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_46,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_36,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,negated_conjecture,
( p_4_3
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
c_0_37 ).
cnf(c_0_48,negated_conjecture,
( p_4_5
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
c_0_38 ).
cnf(c_0_49,negated_conjecture,
( p_4_4
| ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5 ),
c_0_39 ).
cnf(c_0_50,negated_conjecture,
( p_3_5
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
c_0_40 ).
cnf(c_0_51,negated_conjecture,
( p_3_4
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
c_0_41 ).
cnf(c_0_52,negated_conjecture,
( p_3_3
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
c_0_42 ).
cnf(c_0_53,negated_conjecture,
( p_3_2
| ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5 ),
c_0_43 ).
cnf(c_0_54,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_12]) ).
cnf(c_0_55,negated_conjecture,
( p_3_1
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45])]),c_0_46])]) ).
cnf(c_0_56,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_47,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_57,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_48,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_58,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_49,c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_59,negated_conjecture,
( p_3_5
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_45])]),c_0_46])]) ).
cnf(c_0_60,negated_conjecture,
( p_3_4
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_45])]),c_0_46])]) ).
cnf(c_0_61,negated_conjecture,
( p_3_3
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_45])]),c_0_46])]) ).
cnf(c_0_62,negated_conjecture,
( p_3_2
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_45])]),c_0_46])]) ).
cnf(c_0_63,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_11]) ).
cnf(c_0_64,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_10]) ).
cnf(c_0_65,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_9]) ).
cnf(c_0_66,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
inference(fof_simplification,[status(thm)],[clause_8]) ).
cnf(c_0_67,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
inference(fof_simplification,[status(thm)],[clause_2]) ).
cnf(c_0_68,negated_conjecture,
~ p_0,
inference(fof_simplification,[status(thm)],[clause_1]) ).
cnf(c_0_69,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_7]) ).
cnf(c_0_70,negated_conjecture,
( p_2_5
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
c_0_54 ).
cnf(c_0_71,negated_conjecture,
p_3_1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]),c_0_57]),c_0_58])]) ).
cnf(c_0_72,negated_conjecture,
p_3_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_56])]),c_0_57]),c_0_58])]) ).
cnf(c_0_73,negated_conjecture,
p_3_4,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_56])]),c_0_57]),c_0_58])]) ).
cnf(c_0_74,negated_conjecture,
p_3_3,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_56])]),c_0_57]),c_0_58])]) ).
cnf(c_0_75,negated_conjecture,
p_3_2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_56])]),c_0_57]),c_0_58])]) ).
cnf(c_0_76,negated_conjecture,
( p_2_4
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
c_0_63 ).
cnf(c_0_77,negated_conjecture,
( p_2_3
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
c_0_64 ).
cnf(c_0_78,negated_conjecture,
( p_2_2
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
c_0_65 ).
cnf(c_0_79,negated_conjecture,
( p_2_1
| ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5 ),
c_0_66 ).
cnf(c_0_80,negated_conjecture,
( p_0
| ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5 ),
c_0_67 ).
cnf(c_0_81,negated_conjecture,
~ p_0,
c_0_68 ).
cnf(c_0_82,negated_conjecture,
( p_1_5
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
c_0_69 ).
cnf(c_0_83,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_70,c_0_71])]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_84,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_76,c_0_71])]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_85,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_77,c_0_71])]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_86,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_78,c_0_71])]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_87,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_79,c_0_71])]),c_0_72]),c_0_73]),c_0_74]),c_0_75])]) ).
cnf(c_0_88,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_6]) ).
cnf(c_0_89,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(sr,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_90,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_82,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_91,negated_conjecture,
( p_1_4
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
c_0_88 ).
cnf(c_0_92,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_5]) ).
cnf(c_0_93,negated_conjecture,
( ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_90])]) ).
cnf(c_0_94,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_91,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_95,negated_conjecture,
( p_1_3
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
c_0_92 ).
cnf(c_0_96,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_4]) ).
cnf(c_0_97,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
inference(fof_simplification,[status(thm)],[clause_3]) ).
cnf(c_0_98,negated_conjecture,
( ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_94])]) ).
cnf(c_0_99,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_95,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_100,negated_conjecture,
( p_1_2
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
c_0_96 ).
cnf(c_0_101,negated_conjecture,
( p_1_1
| ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5 ),
c_0_97 ).
cnf(c_0_102,negated_conjecture,
( ~ p_1_2
| ~ p_1_1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).
cnf(c_0_103,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_100,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_104,negated_conjecture,
p_1_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_101,c_0_83])]),c_0_84]),c_0_85]),c_0_86]),c_0_87])]) ).
cnf(c_0_105,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]),c_0_104])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN010-1.005.005 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n032.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Fri May 3 10:39:54 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.17/0.42 Running first-order model finding
% 0.17/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.AWRKEpE16Z/E---3.1_10657.p
% 0.17/0.43 # Version: 3.1.0
% 0.17/0.43 # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.17/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.17/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.43 # Starting sh5l with 300s (1) cores
% 0.17/0.43 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 10735 completed with status 0
% 0.17/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 0.17/0.43 # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.17/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.17/0.43 # No SInE strategy applied
% 0.17/0.43 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.17/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 151s (1) cores
% 0.17/0.43 # Starting new_bool_3 with 136s (1) cores
% 0.17/0.43 # Starting new_bool_1 with 136s (1) cores
% 0.17/0.43 # Starting sh5l with 136s (1) cores
% 0.17/0.43 # SAT001_MinMin_p005000_rr_RG with pid 10739 completed with status 0
% 0.17/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.43 # Preprocessing class: FSMSSLSSSSSNFFN.
% 0.17/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.43 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.17/0.43 # No SInE strategy applied
% 0.17/0.43 # Search class: FHUNF-FFSS00-SFFFFFNN
% 0.17/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.17/0.43 # Preprocessing time : 0.001 s
% 0.17/0.43 # Presaturation interreduction done
% 0.17/0.43
% 0.17/0.43 # Proof found!
% 0.17/0.43 # SZS status Unsatisfiable
% 0.17/0.43 # SZS output start CNFRefutation
% See solution above
% 0.17/0.43 # Parsed axioms : 27
% 0.17/0.43 # Removed by relevancy pruning/SinE : 0
% 0.17/0.43 # Initial clauses : 27
% 0.17/0.43 # Removed in clause preprocessing : 0
% 0.17/0.43 # Initial clauses in saturation : 27
% 0.17/0.43 # Processed clauses : 51
% 0.17/0.43 # ...of these trivial : 0
% 0.17/0.43 # ...subsumed : 0
% 0.17/0.43 # ...remaining for further processing : 50
% 0.17/0.43 # Other redundant clauses eliminated : 0
% 0.17/0.43 # Clauses deleted for lack of memory : 0
% 0.17/0.43 # Backward-subsumed : 0
% 0.17/0.43 # Backward-rewritten : 24
% 0.17/0.43 # Generated clauses : 0
% 0.17/0.43 # ...of the previous two non-redundant : 24
% 0.17/0.43 # ...aggressively subsumed : 0
% 0.17/0.43 # Contextual simplify-reflections : 0
% 0.17/0.43 # Paramodulations : 0
% 0.17/0.43 # Factorizations : 0
% 0.17/0.43 # NegExts : 0
% 0.17/0.43 # Equation resolutions : 0
% 0.17/0.43 # Disequality decompositions : 0
% 0.17/0.43 # Total rewrite steps : 105
% 0.17/0.43 # ...of those cached : 80
% 0.17/0.43 # Propositional unsat checks : 0
% 0.17/0.43 # Propositional check models : 0
% 0.17/0.43 # Propositional check unsatisfiable : 0
% 0.17/0.43 # Propositional clauses : 0
% 0.17/0.43 # Propositional clauses after purity: 0
% 0.17/0.43 # Propositional unsat core size : 0
% 0.17/0.43 # Propositional preprocessing time : 0.000
% 0.17/0.43 # Propositional encoding time : 0.000
% 0.17/0.43 # Propositional solver time : 0.000
% 0.17/0.43 # Success case prop preproc time : 0.000
% 0.17/0.43 # Success case prop encoding time : 0.000
% 0.17/0.43 # Success case prop solver time : 0.000
% 0.17/0.43 # Current number of processed clauses : 26
% 0.17/0.43 # Positive orientable unit clauses : 25
% 0.17/0.43 # Positive unorientable unit clauses: 0
% 0.17/0.43 # Negative unit clauses : 1
% 0.17/0.43 # Non-unit-clauses : 0
% 0.17/0.43 # Current number of unprocessed clauses: 0
% 0.17/0.43 # ...number of literals in the above : 0
% 0.17/0.43 # Current number of archived formulas : 0
% 0.17/0.43 # Current number of archived clauses : 24
% 0.17/0.43 # Clause-clause subsumption calls (NU) : 72
% 0.17/0.43 # Rec. Clause-clause subsumption calls : 0
% 0.17/0.43 # Non-unit clause-clause subsumptions : 0
% 0.17/0.43 # Unit Clause-clause subsumption calls : 66
% 0.17/0.43 # Rewrite failures with RHS unbound : 0
% 0.17/0.43 # BW rewrite match attempts : 8
% 0.17/0.43 # BW rewrite match successes : 8
% 0.17/0.43 # Condensation attempts : 0
% 0.17/0.43 # Condensation successes : 0
% 0.17/0.43 # Termbank termtop insertions : 1268
% 0.17/0.43 # Search garbage collected termcells : 131
% 0.17/0.43
% 0.17/0.43 # -------------------------------------------------
% 0.17/0.43 # User time : 0.003 s
% 0.17/0.43 # System time : 0.001 s
% 0.17/0.43 # Total time : 0.004 s
% 0.17/0.43 # Maximum resident set size: 1680 pages
% 0.17/0.43
% 0.17/0.43 # -------------------------------------------------
% 0.17/0.43 # User time : 0.008 s
% 0.17/0.43 # System time : 0.008 s
% 0.17/0.43 # Total time : 0.016 s
% 0.17/0.43 # Maximum resident set size: 1752 pages
% 0.17/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------