%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN493+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 03:25:07 PM UTC 2026
% Result : CounterSatisfiable 0.28s 0.73s
% Output : Saturation 0.28s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_50ERROR: Could not build tree for root c_0_76ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_6,negated_conjecture,
( hskp7
| hskp2
| hskp6 ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_11,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8]),
[final] ).
cnf(c_0_14,negated_conjecture,
( ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X1)
| ~ c3_1(X2)
| c0_1(X2)
| c1_1(X2)
| c1_1(X1)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]),
[final] ).
cnf(c_0_15,negated_conjecture,
( ~ hskp2
| c3_1(a43) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_16,negated_conjecture,
( ~ hskp2
| ~ c0_1(a43) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_17,negated_conjecture,
( ~ hskp2
| ~ c1_1(a43) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_18,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ c3_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp10 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]),
[final] ).
cnf(c_0_19,negated_conjecture,
( ~ hskp7
| c3_1(a44) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_20,negated_conjecture,
( ~ hskp7
| c1_1(a44) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_22,negated_conjecture,
( ~ hskp9
| c3_1(a46) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_23,negated_conjecture,
( ~ hskp9
| c1_1(a46) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_24,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ hskp2
| c1_1(X1)
| c2_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17]),
[final] ).
cnf(c_0_25,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ hskp7
| c0_1(X1)
| c2_1(a44)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
[final] ).
cnf(c_0_26,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp8 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]),
[final] ).
cnf(c_0_27,negated_conjecture,
( ~ hskp7
| c0_1(a44) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_28,negated_conjecture,
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ hskp9
| c0_1(X1)
| c2_1(a46)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_22]),c_0_23]),
[final] ).
cnf(c_0_29,negated_conjecture,
( ~ hskp9
| c0_1(a46) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_30,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp2
| c2_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_15]),c_0_17]),
[final] ).
cnf(c_0_31,negated_conjecture,
( ~ hskp8
| c2_1(a45) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_32,negated_conjecture,
( ~ hskp8
| c1_1(a45) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_33,negated_conjecture,
( ~ hskp8
| c3_1(a45) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_35,negated_conjecture,
( ~ hskp7
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_19]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_37,negated_conjecture,
( ~ hskp9
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_29]),c_0_23]),
[final] ).
cnf(c_0_39,negated_conjecture,
( ~ hskp1
| c3_1(a41) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_40,negated_conjecture,
( ~ hskp1
| ~ c2_1(a41) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_41,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp2
| ~ hskp8
| c2_1(a43) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_42,negated_conjecture,
( ~ hskp7
| ~ hskp8
| c0_1(a45)
| c2_1(a44)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_33]),c_0_31]),
[final] ).
cnf(c_0_44,negated_conjecture,
( ~ hskp8
| ~ hskp9
| c0_1(a45)
| c2_1(a46)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_33]),c_0_31]),
[final] ).
cnf(c_0_47,negated_conjecture,
( ~ hskp6
| c3_1(a42) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_48,negated_conjecture,
( ~ hskp6
| ~ c0_1(a42) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_51,negated_conjecture,
( ~ hskp1
| ~ c0_1(a41) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_52,negated_conjecture,
( ~ c1_1(a41)
| ~ c2_1(X1)
| ~ hskp1
| ~ c3_1(X1)
| c0_1(X1)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_39]),c_0_40]),
[final] ).
cnf(c_0_53,negated_conjecture,
( ~ hskp2
| ~ hskp7
| c2_1(a44)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_41]),c_0_42]),c_0_43]),
[final] ).
cnf(c_0_54,negated_conjecture,
( ~ hskp2
| ~ hskp9
| c2_1(a46)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_41]),c_0_44]),c_0_45]),
[final] ).
cnf(c_0_56,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ c3_1(X1)
| ~ hskp6
| c1_1(X1)
| c1_1(a42)
| c2_1(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_47]),c_0_48]),
[final] ).
cnf(c_0_57,negated_conjecture,
( c0_1(X1)
| c2_1(X1)
| hskp1
| c3_1(X1)
| hskp5 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_11])]),
[final] ).
cnf(c_0_58,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X2)
| c0_1(X1)
| c3_1(X1)
| hskp9 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_11])]),
[final] ).
cnf(c_0_60,negated_conjecture,
( ~ c1_1(a41)
| ~ c2_1(a43)
| ~ hskp1
| ~ hskp2
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_15]),c_0_16]),
[final] ).
cnf(c_0_61,negated_conjecture,
( ~ hskp2
| ~ hskp7
| c2_1(a43)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_53]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_62,negated_conjecture,
( ~ hskp2
| ~ hskp9
| c2_1(a43)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_54]),c_0_29]),c_0_23]),
[final] ).
cnf(c_0_63,negated_conjecture,
( ~ hskp6
| c2_1(a42) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_64,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X1)
| ~ c1_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c0_1(X1)
| hskp3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_11])]),
[final] ).
cnf(c_0_65,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ hskp6
| c0_1(X1)
| c1_1(X1)
| c1_1(a42)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_56,c_0_57]),
[final] ).
cnf(c_0_66,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp8
| c0_1(X1)
| c3_1(X1)
| hskp9 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_67,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(spm,[status(thm)],[c_0_18,c_0_57]),
[final] ).
cnf(c_0_68,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp1
| c1_1(a41) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_39]),c_0_40]),
[final] ).
cnf(c_0_71,negated_conjecture,
( ~ hskp6
| ~ hskp7
| c2_1(a44)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_72,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp8
| c0_1(X1)
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_73,negated_conjecture,
( ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| ~ c3_1(X2)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_14,c_0_57]),
[final] ).
cnf(c_0_74,negated_conjecture,
( ~ c1_1(a41)
| ~ hskp1
| ~ hskp6
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_75,negated_conjecture,
( ~ hskp6
| ~ hskp9
| c2_1(a46)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_76,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp7
| c0_1(X1)
| c3_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_53]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_77,negated_conjecture,
( ~ hskp0
| ~ c2_1(a39) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_78,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp6
| ~ hskp8
| c0_1(X1)
| c1_1(X1)
| c1_1(a42)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_79,negated_conjecture,
( ~ hskp0
| ~ c0_1(a39) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_80,negated_conjecture,
( ~ hskp0
| ~ c1_1(a39) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp7
| ~ hskp8
| c0_1(X1)
| c3_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_42]),c_0_27]),c_0_20]),c_0_66]),
[final] ).
cnf(c_0_82,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(a43)
| ~ hskp2
| c0_1(X1)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_15]),c_0_16]),
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ hskp1
| ~ hskp2
| ~ hskp7
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_53]),c_0_27]),c_0_20]),c_0_69]),
[final] ).
cnf(c_0_84,negated_conjecture,
( ~ hskp1
| ~ hskp2
| ~ hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_54]),c_0_29]),c_0_23]),c_0_70]),
[final] ).
cnf(c_0_85,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| c3_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_71]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ c1_1(a41)
| ~ hskp1
| ~ hskp8
| c0_1(a45)
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_33]),c_0_31]),
[final] ).
cnf(c_0_88,negated_conjecture,
( ~ hskp3
| c3_1(a48) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ hskp3
| ~ c1_1(a48) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_90,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp7
| ~ hskp8
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_42]),c_0_27]),c_0_20]),c_0_72]),
[final] ).
cnf(c_0_91,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp8
| ~ hskp9
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_44]),c_0_29]),c_0_23]),c_0_72]),
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ c0_1(X3)
| ~ c1_1(X3)
| ~ c2_1(X3)
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_73,c_0_57]),
[final] ).
cnf(c_0_93,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| c0_1(X1)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ hskp1
| ~ hskp6
| ~ hskp7
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_71]),c_0_27]),c_0_20]),c_0_74]),
[final] ).
cnf(c_0_95,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_71]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ hskp1
| ~ hskp6
| ~ hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_75]),c_0_29]),c_0_23]),c_0_74]),
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp6
| ~ hskp9
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_75]),c_0_29]),c_0_23]),
[final] ).
cnf(c_0_99,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(a42)
| ~ hskp6
| ~ hskp8
| hskp3 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_63]),c_0_48]),
[final] ).
cnf(c_0_100,negated_conjecture,
( ~ hskp0
| ~ c0_1(a45)
| ~ hskp6
| ~ hskp8
| c1_1(a42)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80]),
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ hskp7
| ~ hskp8
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_18,c_0_81]),
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ hskp2
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(spm,[status(thm)],[c_0_24,c_0_57]),
[final] ).
cnf(c_0_106,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp8
| c0_1(X1)
| c0_1(a45)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_33]),c_0_31]),
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ c1_1(a41)
| ~ hskp1
| ~ hskp2
| ~ hskp8
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_41]),c_0_86]),
[final] ).
cnf(c_0_108,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp1
| ~ hskp8
| c1_1(a41) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_109,negated_conjecture,
( ~ hskp1
| ~ hskp7
| c1_1(a41)
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_35]),c_0_51]),
[final] ).
cnf(c_0_110,negated_conjecture,
( ~ hskp1
| ~ hskp9
| c1_1(a41)
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_37]),c_0_51]),
[final] ).
cnf(c_0_111,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ c3_1(X2)
| ~ hskp8
| c0_1(X2)
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_18,c_0_66]),
[final] ).
cnf(c_0_112,negated_conjecture,
( ~ c2_1(X1)
| hskp0
| c0_1(X1)
| c1_1(X1)
| hskp4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_87,c_0_11])]),
[final] ).
cnf(c_0_113,negated_conjecture,
( ~ hskp0
| ~ hskp7
| hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_35]),c_0_79]),c_0_80]),
[final] ).
cnf(c_0_114,negated_conjecture,
( ~ hskp0
| ~ hskp9
| hskp8 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_37]),c_0_79]),c_0_80]),
[final] ).
cnf(c_0_115,negated_conjecture,
( ~ c0_1(X2)
| ~ c1_1(X2)
| ~ c2_1(X2)
| ~ hskp3
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_88]),c_0_89]),
[final] ).
cnf(c_0_116,negated_conjecture,
( ~ hskp7
| ~ hskp8
| c0_1(a45)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_117,negated_conjecture,
( ~ hskp8
| ~ hskp9
| c0_1(a45)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp8
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ hskp6
| ~ hskp7
| c0_1(X1)
| c1_1(a42)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_71]),c_0_27]),c_0_20]),c_0_93]),c_0_94]),
[final] ).
cnf(c_0_120,negated_conjecture,
( ~ c1_1(a42)
| ~ hskp6
| ~ hskp7
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_63]),c_0_48]),
[final] ).
cnf(c_0_121,negated_conjecture,
( ~ hskp6
| ~ hskp9
| c0_1(X1)
| c1_1(a42)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_75]),c_0_29]),c_0_23]),c_0_93]),c_0_96]),
[final] ).
cnf(c_0_122,negated_conjecture,
( ~ c1_1(a42)
| ~ hskp6
| ~ hskp9
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_63]),c_0_48]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp2
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_53]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp7
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_15]),c_0_61]),c_0_16]),
[final] ).
cnf(c_0_125,negated_conjecture,
( ~ hskp5
| ~ c2_1(a40) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_126,negated_conjecture,
( ~ hskp5
| c1_1(a40) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_127,negated_conjecture,
( ~ hskp5
| ~ c0_1(a40) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_128,negated_conjecture,
( ~ hskp0
| ~ c0_1(a45)
| ~ hskp6
| ~ hskp8
| hskp1
| hskp3
| hskp5 ),
inference(spm,[status(thm)],[c_0_99,c_0_100]),
[final] ).
cnf(c_0_129,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp7
| ~ hskp8
| c0_1(X1)
| c0_1(a45)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_33]),c_0_31]),
[final] ).
cnf(c_0_130,negated_conjecture,
( ~ hskp2
| ~ hskp7
| c0_1(X1)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_53]),c_0_27]),c_0_20]),c_0_103]),c_0_83]),
[final] ).
cnf(c_0_131,negated_conjecture,
( ~ hskp2
| ~ hskp9
| c0_1(X1)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_54]),c_0_29]),c_0_23]),c_0_104]),c_0_84]),
[final] ).
cnf(c_0_132,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp2
| ~ hskp8
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_133,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_134,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp8
| c0_1(X1)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_41]),c_0_106]),
[final] ).
cnf(c_0_135,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp1
| ~ hskp2
| ~ hskp8
| hskp10 ),
inference(spm,[status(thm)],[c_0_107,c_0_108]),
[final] ).
cnf(c_0_136,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp3
| ~ hskp6
| c1_1(a42)
| c2_1(a48) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_88]),c_0_89]),
[final] ).
cnf(c_0_137,negated_conjecture,
( ~ hskp1
| ~ hskp7
| c0_1(a45)
| c1_1(a41)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_42]),c_0_27]),c_0_20]),c_0_109]),
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ hskp1
| ~ hskp9
| c0_1(a45)
| c1_1(a41)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_44]),c_0_29]),c_0_23]),c_0_110]),
[final] ).
cnf(c_0_139,negated_conjecture,
( ~ c0_1(X1)
| ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp2
| ~ hskp3
| c2_1(a48) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_88]),c_0_89]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp1
| ~ hskp6
| ~ hskp8
| hskp10 ),
inference(spm,[status(thm)],[c_0_74,c_0_108]),
[final] ).
cnf(c_0_141,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp2
| ~ hskp8
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_15]),c_0_41]),c_0_16]),
[final] ).
cnf(c_0_142,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp6
| ~ hskp8
| c0_1(X1)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_47]),c_0_63]),c_0_48]),
[final] ).
cnf(c_0_143,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp2
| ~ hskp9
| c0_1(X1)
| hskp3
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_45]),c_0_29]),c_0_23]),c_0_91]),
[final] ).
cnf(c_0_144,negated_conjecture,
( ~ hskp7
| c0_1(X1)
| c1_1(X1)
| hskp4
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_35]),c_0_113]),
[final] ).
cnf(c_0_145,negated_conjecture,
( ~ hskp6
| hskp0
| c1_1(a42)
| hskp4 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_63]),c_0_48]),
[final] ).
cnf(c_0_146,negated_conjecture,
( ~ hskp9
| c0_1(X1)
| c1_1(X1)
| hskp4
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_37]),c_0_114]),
[final] ).
cnf(c_0_147,negated_conjecture,
( ~ hskp7
| c0_1(X2)
| c0_1(X1)
| c0_1(a45)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_42]),c_0_27]),c_0_20]),c_0_35]),
[final] ).
cnf(c_0_148,negated_conjecture,
( ~ hskp9
| c0_1(X2)
| c0_1(X1)
| c0_1(a45)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_44]),c_0_29]),c_0_23]),c_0_37]),
[final] ).
cnf(c_0_149,negated_conjecture,
( ~ hskp6
| ~ hskp7
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_71]),c_0_27]),c_0_20]),c_0_93]),c_0_93]),c_0_94]),
[final] ).
cnf(c_0_150,negated_conjecture,
( ~ hskp6
| ~ hskp9
| c0_1(X2)
| c0_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_75]),c_0_29]),c_0_23]),c_0_93]),c_0_93]),c_0_96]),
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ hskp7
| c0_1(X1)
| c0_1(a45)
| c1_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_42]),c_0_27]),c_0_20]),c_0_116]),c_0_35]),
[final] ).
cnf(c_0_152,negated_conjecture,
( ~ hskp9
| c0_1(X1)
| c0_1(a45)
| c1_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp1
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_44]),c_0_29]),c_0_23]),c_0_117]),c_0_37]),
[final] ).
cnf(c_0_153,negated_conjecture,
( ~ hskp7
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_116]),c_0_35]),
[final] ).
cnf(c_0_154,negated_conjecture,
( ~ hskp9
| c0_1(X2)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| c2_1(X2)
| c2_1(X1)
| hskp1
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_117]),c_0_37]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ hskp3
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_71]),c_0_27]),c_0_20]),c_0_93]),c_0_94]),
[final] ).
cnf(c_0_156,negated_conjecture,
( ~ hskp3
| ~ hskp6
| ~ hskp9
| c0_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_75]),c_0_29]),c_0_23]),c_0_93]),c_0_96]),
[final] ).
cnf(c_0_157,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_119]),c_0_120]),
[final] ).
cnf(c_0_158,negated_conjecture,
( ~ hskp0
| ~ hskp6
| ~ hskp7
| c1_1(a42)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_119]),c_0_79]),
[final] ).
cnf(c_0_159,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| ~ hskp9
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_121]),c_0_122]),
[final] ).
cnf(c_0_160,negated_conjecture,
( ~ hskp0
| ~ hskp6
| ~ hskp9
| c1_1(a42)
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_121]),c_0_79]),
[final] ).
cnf(c_0_161,negated_conjecture,
( ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ hskp7
| ~ hskp8
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_101,c_0_81]),
[final] ).
cnf(c_0_162,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp3
| ~ hskp8
| c0_1(X1)
| c1_1(X1)
| c2_1(X1)
| c2_1(a48)
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_115,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_163,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_123,c_0_124]),
[final] ).
cnf(c_0_164,negated_conjecture,
( ~ hskp2
| ~ hskp5
| ~ hskp7
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_124]),c_0_126]),c_0_127]),
[final] ).
cnf(c_0_165,negated_conjecture,
( ~ hskp0
| ~ hskp6
| ~ hskp7
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_116]),c_0_113]),c_0_94]),
[final] ).
cnf(c_0_166,negated_conjecture,
( ~ hskp0
| ~ hskp6
| ~ hskp9
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_117]),c_0_114]),c_0_96]),
[final] ).
cnf(c_0_167,negated_conjecture,
( ~ hskp5
| ~ hskp7
| ~ hskp8
| c0_1(a45)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_129]),c_0_126]),c_0_127]),
[final] ).
cnf(c_0_168,negated_conjecture,
( ~ hskp0
| ~ hskp2
| ~ hskp7
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_130]),c_0_79]),
[final] ).
cnf(c_0_169,negated_conjecture,
( ~ hskp0
| ~ hskp2
| ~ hskp9
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_131]),c_0_79]),
[final] ).
cnf(c_0_170,negated_conjecture,
( ~ hskp0
| ~ c0_1(a45)
| ~ hskp2
| ~ hskp8
| hskp1
| hskp5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_132]),c_0_79]),c_0_80]),
[final] ).
cnf(c_0_171,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp6
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_95,c_0_133]),
[final] ).
cnf(c_0_172,negated_conjecture,
( ~ hskp5
| ~ hskp6
| ~ hskp7
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_133]),c_0_126]),c_0_127]),
[final] ).
cnf(c_0_173,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp7
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(spm,[status(thm)],[c_0_123,c_0_103]),
[final] ).
cnf(c_0_174,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp2
| ~ hskp8
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_134]),c_0_135]),
[final] ).
cnf(c_0_175,negated_conjecture,
( ~ hskp3
| ~ hskp6
| ~ hskp7
| c1_1(a42)
| c2_1(a48)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_71]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_176,negated_conjecture,
( ~ hskp3
| ~ hskp6
| ~ hskp9
| c1_1(a42)
| c2_1(a48)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_75]),c_0_29]),c_0_23]),
[final] ).
cnf(c_0_177,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp3
| ~ hskp6
| ~ hskp8
| c1_1(a42)
| c2_1(a48) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_178,negated_conjecture,
( ~ hskp1
| ~ hskp7
| ~ hskp8
| c0_1(a45)
| hskp10 ),
inference(spm,[status(thm)],[c_0_86,c_0_137]),
[final] ).
cnf(c_0_179,negated_conjecture,
( ~ hskp1
| ~ hskp8
| ~ hskp9
| c0_1(a45)
| hskp10 ),
inference(spm,[status(thm)],[c_0_86,c_0_138]),
[final] ).
cnf(c_0_180,negated_conjecture,
( ~ hskp2
| ~ hskp3
| ~ hskp7
| c2_1(a48)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_53]),c_0_27]),c_0_20]),
[final] ).
cnf(c_0_181,negated_conjecture,
( ~ hskp2
| ~ hskp3
| ~ hskp9
| c2_1(a48)
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_54]),c_0_29]),c_0_23]),
[final] ).
cnf(c_0_182,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp2
| ~ hskp3
| ~ hskp8
| c2_1(a48) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_31]),c_0_32]),
[final] ).
cnf(c_0_183,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp6
| ~ hskp8
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_93]),c_0_140]),
[final] ).
cnf(c_0_184,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp2
| ~ hskp8
| c0_1(X1)
| hskp3
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_72,c_0_141]),
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp2
| ~ hskp5
| ~ hskp8
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_141]),c_0_126]),c_0_127]),
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ hskp8
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_111,c_0_66]),
[final] ).
cnf(c_0_187,negated_conjecture,
( ~ c0_1(a45)
| ~ c1_1(X1)
| ~ hskp6
| ~ hskp8
| c0_1(X1)
| hskp3
| hskp9
| hskp10 ),
inference(spm,[status(thm)],[c_0_72,c_0_142]),
[final] ).
cnf(c_0_188,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp5
| ~ hskp6
| ~ hskp8
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_142]),c_0_126]),c_0_127]),
[final] ).
cnf(c_0_189,negated_conjecture,
( ~ c1_1(X1)
| ~ hskp2
| ~ hskp9
| c0_1(X1)
| hskp3
| hskp5
| hskp10 ),
inference(spm,[status(thm)],[c_0_143,c_0_104]),
[final] ).
cnf(c_0_190,negated_conjecture,
( ~ c1_1(X2)
| ~ c1_1(X1)
| ~ c2_1(X2)
| ~ hskp8
| c0_1(X1)
| c0_1(X2)
| c2_1(X1)
| hskp1
| hskp5
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_66]),c_0_106]),
[final] ).
cnf(c_0_191,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp2
| ~ hskp8
| hskp0
| hskp4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_41]),c_0_16]),c_0_17]),
[final] ).
cnf(c_0_192,negated_conjecture,
( ~ hskp2
| ~ hskp7
| hskp0
| hskp4
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_61]),c_0_16]),c_0_17]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ hskp2
| ~ hskp9
| hskp0
| hskp4
| hskp10 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_62]),c_0_16]),c_0_17]),
[final] ).
cnf(c_0_194,negated_conjecture,
( ~ c1_1(X1)
| ~ c1_1(a41)
| ~ c2_1(X1)
| ~ hskp1
| ~ hskp8
| c0_1(X1)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_66]),c_0_86]),
[final] ).
cnf(c_0_195,negated_conjecture,
( ~ hskp6
| ~ hskp7
| hskp3
| hskp4
| hskp8
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_144]),c_0_48]),
[final] ).
cnf(c_0_196,negated_conjecture,
( ~ hskp6
| ~ hskp7
| hskp0
| hskp3
| hskp4
| hskp10 ),
inference(spm,[status(thm)],[c_0_120,c_0_145]),
[final] ).
cnf(c_0_197,negated_conjecture,
( ~ c1_1(X1)
| ~ c2_1(X1)
| ~ hskp7
| ~ hskp8
| c0_1(X1)
| c2_1(a44)
| hskp9
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_66]),c_0_42]),
[final] ).
cnf(c_0_198,negated_conjecture,
( ~ hskp6
| ~ hskp9
| hskp3
| hskp4
| hskp8
| hskp10 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_146]),c_0_48]),
[final] ).
cnf(c_0_199,negated_conjecture,
( ~ hskp6
| ~ hskp9
| hskp0
| hskp3
| hskp4
| hskp10 ),
inference(spm,[status(thm)],[c_0_122,c_0_145]),
[final] ).
cnf(c_0_200,negated_conjecture,
( ~ c0_1(a45)
| ~ hskp6
| ~ hskp8
| hskp0
| hskp3
| hskp4 ),
inference(spm,[status(thm)],[c_0_99,c_0_145]),
[final] ).
cnf(c_0_201,negated_conjecture,
( ~ hskp2
| ~ hskp7
| hskp4
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_144]),c_0_16]),
[final] ).
cnf(c_0_202,negated_conjecture,
( ~ hskp2
| ~ hskp9
| hskp4
| hskp8 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_146]),c_0_16]),
[final] ).
cnf(c_0_203,negated_conjecture,
( ~ hskp10
| ~ c0_1(a47) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_204,negated_conjecture,
( ~ hskp4
| ~ c1_1(a38) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_205,negated_conjecture,
( ~ hskp4
| ~ c0_1(a38) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_206,negated_conjecture,
( ~ hskp10
| c3_1(a47) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_207,negated_conjecture,
( ~ hskp4
| c2_1(a38) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_208,negated_conjecture,
( ~ hskp10
| c1_1(a47) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
cnf(c_0_209,negated_conjecture,
( ~ hskp3
| c0_1(a48) ),
inference(split_conjunct,[status(thm)],[c_0_3]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN493+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/0.46 % Computer : n009.cluster.edu
% 0.19/0.46 % Model : x86_64 x86_64
% 0.19/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.46 % Memory : 8046.5625MB
% 0.19/0.46 % OS : Linux 6.8.0-71-generic
% 0.19/0.46 % CPULimit : 300
% 0.19/0.46 % WCLimit : 300
% 0.19/0.46 % DateTime : Mon Sep 21 11:02:43 UTC 2026
% 0.19/0.47 % CPUTime :
% 0.19/0.47 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.53 Running first-order theorem proving
% 0.23/0.53 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.28/0.73 % Version: 3.5.1
% 0.28/0.73 % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.28/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.73 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.73 % Starting new_bool_3 with 300s (1) cores
% 0.28/0.73 % Starting new_bool_1 with 300s (1) cores
% 0.28/0.73 % Starting sh5l with 300s (1) cores
% 0.28/0.73 % SAT001_MinMin_p005000_rr_RG with pid 1585431 completed with status 1
% 0.28/0.73 % Result found by SAT001_MinMin_p005000_rr_RG
% 0.28/0.73 % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.28/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.73 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.73 % No SInE strategy applied
% 0.28/0.73 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.28/0.73 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.73 % Starting SubtermCWHack with 151s (1) cores
% 0.28/0.73 % Starting SAT001_MinMin_p005000_rr_RG with 901s (1) cores
% 0.28/0.73 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 151s (1) cores
% 0.28/0.73 % Starting new_bool_3 with 151s (1) cores
% 0.28/0.73 % Starting new_bool_1 with 146s (1) cores
% 0.28/0.73 % SubtermCWHack with pid 1585435 completed with status 1
% 0.28/0.73 % Result found by SubtermCWHack
% 0.28/0.73 % Preprocessing class: FSMSSLSMSSSNFFN.
% 0.28/0.73 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.28/0.73 % Starting SAT001_MinMin_p005000_rr_RG with 1500s (5) cores
% 0.28/0.73 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.28/0.73 % No SInE strategy applied
% 0.28/0.73 % Search class: FGHNF-FFMF00-SFFFFFNN
% 0.28/0.73 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.28/0.73 % Starting SubtermCWHack with 151s (1) cores
% 0.28/0.73 % Preprocessing time : 0.001 s
% 0.28/0.73
% 0.28/0.73 % No proof found!
% 0.28/0.73 % SZS status CounterSatisfiable
% 0.28/0.73 % SZS output start Saturation
% See solution above
% 0.28/0.73 % Parsed axioms : 1
% 0.28/0.73 % Removed by relevancy pruning/SinE : 0
% 0.28/0.73 % Initial clauses : 52
% 0.28/0.73 % Removed in clause preprocessing : 0
% 0.28/0.73 % Initial clauses in saturation : 52
% 0.28/0.73 % Processed clauses : 955
% 0.28/0.73 % ...of these trivial : 7
% 0.28/0.73 % ...subsumed : 724
% 0.28/0.73 % ...remaining for further processing : 224
% 0.28/0.73 % Other redundant clauses eliminated : 0
% 0.28/0.73 % Clauses deleted for lack of memory : 0
% 0.28/0.73 % Backward-subsumed : 33
% 0.28/0.73 % Backward-rewritten : 11
% 0.28/0.73 % Generated clauses : 1517
% 0.28/0.73 % ...of the previous two non-redundant : 940
% 0.28/0.73 % ...aggressively subsumed : 0
% 0.28/0.73 % Contextual simplify-reflections : 238
% 0.28/0.73 % Paramodulations : 1517
% 0.28/0.73 % Factorizations : 0
% 0.28/0.73 % NegExts : 0
% 0.28/0.73 % Equation resolutions : 0
% 0.28/0.73 % Disequality decompositions : 0
% 0.28/0.73 % Total rewrite steps : 18
% 0.28/0.73 % ...of those cached : 17
% 0.28/0.73 % Propositional unsat checks : 0
% 0.28/0.73 % Propositional check models : 0
% 0.28/0.73 % Propositional check unsatisfiable : 0
% 0.28/0.73 % Propositional clauses : 0
% 0.28/0.73 % Propositional clauses after purity: 0
% 0.28/0.73 % Propositional unsat core size : 0
% 0.28/0.73 % Propositional preprocessing time : 0.000
% 0.28/0.73 % Propositional encoding time : 0.000
% 0.28/0.73 % Propositional solver time : 0.000
% 0.28/0.73 % Success case prop preproc time : 0.000
% 0.28/0.73 % Success case prop encoding time : 0.000
% 0.28/0.73 % Success case prop solver time : 0.000
% 0.28/0.73 % Current number of processed clauses : 180
% 0.28/0.73 % Positive orientable unit clauses : 1
% 0.28/0.73 % Positive unorientable unit clauses: 0
% 0.28/0.73 % Negative unit clauses : 0
% 0.28/0.73 % Non-unit-clauses : 179
% 0.28/0.73 % Current number of unprocessed clauses: 0
% 0.28/0.73 % ...number of literals in the above : 0
% 0.28/0.73 % Current number of archived formulas : 0
% 0.28/0.73 % Current number of archived clauses : 44
% 0.28/0.73 % Clause-clause subsumption calls (NU) : 29063
% 0.28/0.73 % Rec. Clause-clause subsumption calls : 1215
% 0.28/0.73 % Non-unit clause-clause subsumptions : 995
% 0.28/0.73 % Unit Clause-clause subsumption calls : 2
% 0.28/0.73 % Rewrite failures with RHS unbound : 0
% 0.28/0.73 % BW rewrite match attempts : 1
% 0.28/0.73 % BW rewrite match successes : 1
% 0.28/0.73 % Condensation attempts : 0
% 0.28/0.73 % Condensation successes : 0
% 0.28/0.73 % Termbank termtop insertions : 30029
% 0.28/0.73 % Search garbage collected termcells : 269
% 0.28/0.73
% 0.28/0.73 % -------------------------------------------------
% 0.28/0.73 % User time : 0.058 s
% 0.28/0.73 % System time : 0.004 s
% 0.28/0.73 % Total time : 0.062 s
% 0.28/0.73 % Maximum resident set size: 3420 pages
% 0.28/0.73
% 0.28/0.73 % -------------------------------------------------
% 0.28/0.73 % User time : 0.354 s
% 0.28/0.73 % System time : 0.019 s
% 0.28/0.73 % Total time : 0.373 s
% 0.28/0.73 % Maximum resident set size: 4608 pages
% 0.28/0.73 % E exiting
%------------------------------------------------------------------------------