%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN521+1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 03:34:53 PM UTC 2026
% Result : CounterSatisfiable 0.11s 0.45s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_12ERROR: Could not build tree for root c_0_81ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_9,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[c_0_6,c_0_7]),
[final] ).
cnf(c_0_13,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_2(a77,a79)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[final] ).
cnf(c_0_14,negated_conjecture,
( ~ c4_0
| c1_0
| c1_1(a76) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_18,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_1(X1)
| ndr1_1(a77)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9])]),
[final] ).
cnf(c_0_22,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c4_2(X1,a91)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2)
| c5_2(X1,a92)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_9])]),
[final] ).
cnf(c_0_23,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c4_0
| c4_2(a76,X1)
| c1_2(a76,X1)
| c3_2(a77,a79)
| c3_0
| c1_0 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]),
[final] ).
cnf(c_0_24,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c1_2(X1,a91)
| ~ c3_2(X1,X2)
| c5_2(X1,X2)
| c5_2(X1,a92)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_9])]),
[final] ).
cnf(c_0_25,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c4_2(X1,a91)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| c1_2(X1,a92)
| c5_2(X1,X2)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_9])]),
[final] ).
cnf(c_0_26,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c1_2(X1,a91)
| ~ c3_2(X1,X2)
| c1_2(X1,a92)
| c5_2(X1,X2)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_9])]),
[final] ).
cnf(c_0_27,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c4_0
| ndr1_1(a77)
| c4_2(a76,X1)
| c1_2(a76,X1)
| c3_0
| c1_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_14]),
[final] ).
cnf(c_0_28,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_2(X1,X2)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_0
| c2_1(X1)
| c4_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_9])]),
[final] ).
cnf(c_0_29,negated_conjecture,
( ~ ndr1_1(a101)
| ~ c1_2(a101,X1)
| ~ c5_2(a101,X1)
| c3_2(a101,X1)
| c3_0
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_20]),
[final] ).
cnf(c_0_36,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c1_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| c3_2(a101,X1)
| ndr1_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_38,negated_conjecture,
( ~ c5_0
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100)
| ndr1_1(a97) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_40,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c2_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| ndr1_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_44,negated_conjecture,
( ~ c1_2(a93,a94)
| c4_0
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_46,negated_conjecture,
( ~ c4_2(a93,a94)
| c4_0
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_48,negated_conjecture,
( c4_0
| c2_2(a93,a94)
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_59,negated_conjecture,
( c4_0
| c4_1(a93)
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_61,negated_conjecture,
( c4_0
| c3_1(a93)
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_64,negated_conjecture,
( c4_0
| ndr1_1(a93)
| ndr1_1(a95) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_66,negated_conjecture,
( ~ c5_0
| ndr1_1(a97)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_72,negated_conjecture,
( ~ c5_0
| ndr1_1(a97)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_76,plain,
( ~ epred1_0
| ~ c4_1(a90)
| ndr1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_78,plain,
( ~ epred1_0
| ~ c3_1(a90)
| ndr1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_80,plain,
( ~ epred1_0
| ~ c2_1(a90)
| ndr1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_81,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c1_2(a76,X1)
| ~ c3_2(a76,X1)
| ~ c4_0
| c5_2(a76,X1)
| c5_2(a76,a92)
| c3_2(a77,a79)
| c3_0
| c1_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),
[final] ).
cnf(c_0_82,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c1_2(a76,X1)
| ~ c3_2(a76,X1)
| ~ c4_0
| c1_2(a76,a92)
| c5_2(a76,X1)
| c3_2(a77,a79)
| c3_0
| c1_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_26]),
[final] ).
cnf(c_0_83,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c1_2(a76,X1)
| ~ c3_2(a76,X1)
| ~ c4_0
| ndr1_1(a77)
| c5_2(a76,X1)
| c5_2(a76,a92)
| c3_0
| c1_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_27]),c_0_24]),
[final] ).
cnf(c_0_84,negated_conjecture,
( ~ ndr1_1(a76)
| ~ c1_2(a76,X1)
| ~ c3_2(a76,X1)
| ~ c4_0
| ndr1_1(a77)
| c1_2(a76,a92)
| c5_2(a76,X1)
| c3_0
| c1_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_27]),c_0_26]),
[final] ).
cnf(c_0_85,negated_conjecture,
( ~ ndr1_1(a101)
| ~ c1_2(a101,X1)
| ~ c5_2(a101,X1)
| c5_0
| c3_0
| c2_1(a101)
| c4_1(a101)
| epred6_0 ),
inference(spm,[status(thm)],[c_0_28,c_0_29]),
[final] ).
cnf(c_0_86,negated_conjecture,
( ~ ndr1_1(a100)
| ~ c5_0
| c2_2(a97,X1)
| c1_2(a97,X1)
| c3_2(a97,X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_30]),
[final] ).
cnf(c_0_87,negated_conjecture,
( ~ ndr1_1(a101)
| ~ c1_2(a102,X1)
| ~ c5_2(a102,X1)
| ~ c3_2(a102,X1)
| c3_0
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_31]),
[final] ).
cnf(c_0_88,negated_conjecture,
( ~ c1_2(a102,X1)
| ~ c5_2(a102,X1)
| ~ c3_2(a102,X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_32]),
[final] ).
cnf(c_0_89,negated_conjecture,
( ~ c4_2(a100,X1)
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_33]),
[final] ).
cnf(c_0_90,negated_conjecture,
( ~ c2_2(a101,X1)
| ~ c5_2(a101,X1)
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_34]),
[final] ).
cnf(c_0_91,negated_conjecture,
( ~ epred6_0
| ~ epred7_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_35,c_0_36]),c_0_20]),c_0_32]),
[final] ).
cnf(c_0_92,negated_conjecture,
( ~ epred4_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_37,c_0_38]),c_0_30]),c_0_33]),
[final] ).
cnf(c_0_93,negated_conjecture,
( ~ epred2_0
| ~ epred3_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[c_0_39,c_0_40]),c_0_31]),c_0_34]),
[final] ).
cnf(c_0_94,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c2_2(X1,a91)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| c5_2(X1,X2)
| c5_2(X1,a92)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_9])]),
[final] ).
cnf(c_0_95,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c2_2(X1,a91)
| ~ c1_2(X1,X2)
| ~ c3_2(X1,X2)
| c1_2(X1,a92)
| c5_2(X1,X2)
| epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_9])]),
[final] ).
cnf(c_0_96,negated_conjecture,
( ~ c5_0
| ~ c1_2(a97,a99)
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_97,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a99)
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_98,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a98)
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_99,negated_conjecture,
( ~ c5_0
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100)
| c5_2(a97,a99) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_100,negated_conjecture,
( ~ c5_0
| ~ c2_2(a100,X1)
| ~ c3_2(a100,X1)
| ~ c4_2(a100,X1)
| ~ ndr1_1(a100)
| c5_2(a97,a98) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_101,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c1_2(a101,X1)
| ~ ndr1_1(a101)
| ~ c5_2(a102,a103)
| c3_0
| c3_2(a101,X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_102,negated_conjecture,
( ~ c1_2(a95,X1)
| ~ c1_2(a93,a94)
| ~ c3_2(a95,X1)
| c5_2(a95,X1)
| c4_0 ),
inference(csr,[status(thm)],[c_0_43,c_0_44]),
[final] ).
cnf(c_0_103,negated_conjecture,
( ~ c4_2(a93,a94)
| ~ c1_2(a95,X1)
| ~ c3_2(a95,X1)
| c5_2(a95,X1)
| c4_0 ),
inference(csr,[status(thm)],[c_0_45,c_0_46]),
[final] ).
cnf(c_0_104,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c1_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| c3_2(a101,X1)
| c1_2(a102,a103) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_105,negated_conjecture,
( ~ c1_2(a95,X1)
| ~ c3_2(a95,X1)
| c2_2(a93,a94)
| c5_2(a95,X1)
| c4_0 ),
inference(csr,[status(thm)],[c_0_47,c_0_48]),
[final] ).
cnf(c_0_106,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(X1,a81)
| ~ c3_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_9])]),
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(X1,a81)
| ~ c2_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_9])]),
[final] ).
cnf(c_0_108,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(X1,a81)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_1(X1)
| c4_1(a80) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_9])]),
[final] ).
cnf(c_0_109,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c3_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_2(X1,a81)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_9])]),
[final] ).
cnf(c_0_110,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c2_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_2(X1,a81)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_9])]),
[final] ).
cnf(c_0_111,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c3_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c4_2(X1,a81)
| c2_2(X1,X2)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_9])]),
[final] ).
cnf(c_0_112,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c2_1(a80)
| ~ c1_0
| c4_2(X1,X2)
| c4_2(X1,a81)
| c2_2(X1,X2)
| c1_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_9])]),
[final] ).
cnf(c_0_113,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_0
| c4_2(X1,X2)
| c2_2(X1,X2)
| c1_2(X1,a81)
| c1_1(X1)
| c4_1(a80) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_9])]),
[final] ).
cnf(c_0_114,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| ~ c3_2(X1,X2)
| ~ c4_0
| ~ c1_1(X1)
| c1_2(X1,X2)
| c2_0
| c4_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_9])]),
[final] ).
cnf(c_0_115,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c1_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| c3_2(a101,X1)
| c2_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_116,negated_conjecture,
( ~ c1_2(a95,X1)
| ~ c3_2(a95,X1)
| c5_2(a95,X1)
| c4_0
| c4_1(a93) ),
inference(csr,[status(thm)],[c_0_58,c_0_59]),
[final] ).
cnf(c_0_117,negated_conjecture,
( ~ c1_2(a95,X1)
| ~ c3_2(a95,X1)
| c5_2(a95,X1)
| c4_0
| c3_1(a93) ),
inference(csr,[status(thm)],[c_0_60,c_0_61]),
[final] ).
cnf(c_0_118,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_0
| c4_2(X1,X2)
| c4_2(X1,a81)
| c2_2(X1,X2)
| c1_1(X1)
| c4_1(a80) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_9])]),
[final] ).
cnf(c_0_119,negated_conjecture,
( ~ c1_2(a95,X1)
| ~ c3_2(a95,X1)
| ndr1_1(a93)
| c5_2(a95,X1)
| c4_0 ),
inference(csr,[status(thm)],[c_0_63,c_0_64]),
[final] ).
cnf(c_0_120,negated_conjecture,
( ~ c5_0
| c2_2(a97,X1)
| c1_2(a97,X1)
| c3_2(a97,X1)
| c4_1(a100) ),
inference(csr,[status(thm)],[c_0_65,c_0_66]),
[final] ).
cnf(c_0_121,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c3_2(a77,a78)
| ~ c1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_9])]),
[final] ).
cnf(c_0_122,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(a77,a79)
| ~ c1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_9])]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(a77,a78)
| ~ c1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_9])]),
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c2_2(a77,a79)
| ~ c1_1(X1)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_9])]),
[final] ).
cnf(c_0_125,negated_conjecture,
( ~ c5_0
| c2_2(a97,X1)
| c1_2(a97,X1)
| c3_2(a97,X1)
| c2_1(a100) ),
inference(csr,[status(thm)],[c_0_71,c_0_72]),
[final] ).
cnf(c_0_126,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c5_2(X1,X2)
| ~ c1_0
| ~ c4_1(X1)
| c4_2(X1,X2)
| c3_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_9])]),
[final] ).
cnf(c_0_127,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c2_2(a101,X1)
| ~ ndr1_1(a101)
| ~ c5_2(a102,a103)
| c3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_128,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c2_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| c1_2(a102,a103) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_129,negated_conjecture,
( ~ ndr1_1(X1)
| ~ c1_1(X1)
| ~ c3_1(a77)
| c4_2(X1,X2)
| c1_2(X1,X2)
| c3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_9])]),
[final] ).
cnf(c_0_130,negated_conjecture,
( ~ c5_2(a101,X1)
| ~ c2_2(a101,X1)
| ~ ndr1_1(a101)
| c3_0
| c2_1(a102) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_131,plain,
( ~ c4_1(a90)
| ~ epred1_0
| c2_2(a88,X1)
| c5_2(a88,X1) ),
inference(csr,[status(thm)],[c_0_75,c_0_76]),
[final] ).
cnf(c_0_132,plain,
( ~ c3_1(a90)
| ~ epred1_0
| c2_2(a88,X1)
| c5_2(a88,X1) ),
inference(csr,[status(thm)],[c_0_77,c_0_78]),
[final] ).
cnf(c_0_133,plain,
( ~ c2_1(a90)
| ~ epred1_0
| c2_2(a88,X1)
| c5_2(a88,X1) ),
inference(csr,[status(thm)],[c_0_79,c_0_80]),
[final] ).
cnf(c_0_134,negated_conjecture,
( ~ c1_2(a93,a94)
| ~ c4_2(a95,a96)
| c4_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_135,negated_conjecture,
( ~ c4_2(a93,a94)
| ~ c4_2(a95,a96)
| c4_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_136,negated_conjecture,
( ~ c1_2(a93,a94)
| c4_0
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_137,negated_conjecture,
( ~ c4_2(a93,a94)
| c4_0
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_138,negated_conjecture,
( ~ c1_2(a93,a94)
| c4_0
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_139,negated_conjecture,
( ~ c4_2(a93,a94)
| c4_0
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ c4_2(a95,a96)
| c4_0
| c2_2(a93,a94) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_141,negated_conjecture,
( c4_0
| c2_2(a93,a94)
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_142,plain,
( ~ epred1_0
| ~ c5_2(a88,a89)
| ~ c4_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_143,plain,
( ~ epred1_0
| ~ c2_2(a88,a89)
| ~ c4_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_144,plain,
( ~ epred1_0
| ~ c5_2(a88,a89)
| ~ c3_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_145,negated_conjecture,
( c4_0
| c2_2(a93,a94)
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_146,plain,
( ~ epred1_0
| ~ c2_2(a88,a89)
| ~ c3_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_147,plain,
( ~ epred1_0
| ~ c5_2(a88,a89)
| ~ c2_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_148,plain,
( ~ epred1_0
| ~ c2_2(a88,a89)
| ~ c2_1(a90) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_149,negated_conjecture,
( ~ c5_0
| ~ c1_2(a97,a99)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_150,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a99)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_151,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a98)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_152,negated_conjecture,
( ~ c5_0
| ~ c1_2(a97,a99)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_153,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a99)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_154,negated_conjecture,
( ~ c5_0
| ~ c2_2(a97,a98)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_155,negated_conjecture,
( ~ c4_2(a95,a96)
| c4_0
| c4_1(a93) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_156,negated_conjecture,
( ~ c4_2(a95,a96)
| c4_0
| c3_1(a93) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_157,negated_conjecture,
( ~ c4_2(a95,a96)
| c4_0
| ndr1_1(a93) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_158,plain,
( ~ epred1_0
| ~ c4_1(a90)
| c4_2(a88,a89) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_159,plain,
( ~ epred1_0
| ~ c3_1(a90)
| c4_2(a88,a89) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_160,plain,
( ~ epred1_0
| ~ c2_1(a90)
| c4_2(a88,a89) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_161,negated_conjecture,
( ~ c5_0
| c5_2(a97,a99)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_162,negated_conjecture,
( ~ c5_0
| c5_2(a97,a98)
| c4_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_163,negated_conjecture,
( ~ c5_0
| c5_2(a97,a99)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_164,negated_conjecture,
( ~ c5_0
| c5_2(a97,a98)
| c2_1(a100) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_165,negated_conjecture,
( c4_0
| c4_1(a93)
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_166,negated_conjecture,
( c4_0
| c4_1(a93)
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_167,negated_conjecture,
( c4_0
| c3_1(a93)
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_168,negated_conjecture,
( c4_0
| c3_1(a93)
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_169,negated_conjecture,
( c4_0
| ndr1_1(a93)
| c5_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_170,negated_conjecture,
( ~ c2_0
| ~ c3_2(a85,a87)
| c4_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_171,negated_conjecture,
( ~ c2_0
| ~ c3_2(a85,a86)
| c4_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_172,negated_conjecture,
( ~ c2_0
| ~ c1_2(a85,a86)
| c4_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_173,negated_conjecture,
( c4_0
| ndr1_1(a93)
| c1_2(a95,a96) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_174,negated_conjecture,
( ~ c2_0
| c4_0
| c5_2(a85,a87) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_175,negated_conjecture,
( ~ c2_0
| c4_0
| c4_2(a85,a87) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_176,plain,
( ~ epred1_0
| ~ c4_1(a90)
| c1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_177,plain,
( ~ epred1_0
| ~ c3_1(a90)
| c1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_178,plain,
( ~ epred1_0
| ~ c2_1(a90)
| c1_1(a88) ),
inference(split_conjunct,[status(thm)],[c_0_21]),
[final] ).
cnf(c_0_179,negated_conjecture,
( ~ c3_0
| ~ c5_2(a82,a84) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_180,negated_conjecture,
( ~ c3_0
| ~ c5_2(a82,a83) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_181,negated_conjecture,
( ~ c3_0
| ~ c2_2(a82,a84) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_182,negated_conjecture,
( ~ c3_0
| ~ c4_2(a82,a84) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_183,negated_conjecture,
( ~ c4_0
| ~ c3_2(a70,a72) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_184,negated_conjecture,
( ~ c4_0
| ~ c5_2(a70,a73) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ c4_0
| ~ c5_2(a70,a72) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ c4_0
| ~ c2_2(a70,a72) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_187,negated_conjecture,
( ~ c4_0
| ~ c2_2(a70,a71) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_188,negated_conjecture,
( ~ c4_0
| ~ c4_2(a70,a73) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_189,negated_conjecture,
( ~ c1_2(a74,a75)
| c3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_190,negated_conjecture,
( ~ c2_2(a74,a75)
| c3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_191,negated_conjecture,
( ~ c4_0
| c1_2(a70,a71) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_192,negated_conjecture,
( ~ c3_0
| c4_2(a82,a83) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ c4_0
| c4_2(a70,a71) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_194,negated_conjecture,
( c3_0
| c5_2(a74,a75) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_195,negated_conjecture,
( ~ c4_0
| c1_0
| c3_1(a76) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_196,negated_conjecture,
( ~ c2_0
| c4_0
| c5_1(a85) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_197,negated_conjecture,
( ~ c2_0
| c4_0
| ndr1_1(a85) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_198,negated_conjecture,
( ~ c2_1(a74)
| c3_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_199,negated_conjecture,
( ~ c3_0
| c1_1(a82) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_200,negated_conjecture,
( ~ c3_0
| ndr1_1(a82) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_201,negated_conjecture,
( ~ c4_0
| ndr1_1(a70) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_202,negated_conjecture,
( c3_0
| ndr1_1(a74) ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
cnf(c_0_203,negated_conjecture,
( ~ c2_0
| ~ c5_0 ),
inference(split_conjunct,[status(thm)],[c_0_4]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN521+1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n019.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 11:06:05 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.11/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.11/0.45 % Starting sh5l with 300s (1) cores
% 0.11/0.45 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2407957 completed with status 1
% 0.11/0.45 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.11/0.45 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHNF-FSLM00-SFFFFFNN
% 0.11/0.45 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.11/0.45 % Starting H----_042_B03_F1_AE_Q4_SP_S2S with 136s (1) cores
% 0.11/0.45 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 136s (1) cores
% 0.11/0.45 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 2407962 completed with status 1
% 0.11/0.45 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.11/0.45 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.11/0.45 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.45 % No SInE strategy applied
% 0.11/0.45 % Search class: FGHNF-FSLM00-SFFFFFNN
% 0.11/0.45 % Scheduled 8 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.45 % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.45 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.11/0.45 % Preprocessing time : 0.002 s
% 0.11/0.45
% 0.11/0.45 % No proof found!
% 0.11/0.45 % SZS status CounterSatisfiable
% 0.11/0.45 % SZS output start Saturation
% See solution above
% 0.11/0.45 % Parsed axioms : 1
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 204
% 0.11/0.45 % Removed in clause preprocessing : 14
% 0.11/0.45 % Initial clauses in saturation : 190
% 0.11/0.45 % Processed clauses : 206
% 0.11/0.45 % ...of these trivial : 43
% 0.11/0.45 % ...subsumed : 9
% 0.11/0.45 % ...remaining for further processing : 154
% 0.11/0.45 % Other redundant clauses eliminated : 0
% 0.11/0.45 % Clauses deleted for lack of memory : 0
% 0.11/0.45 % Backward-subsumed : 0
% 0.11/0.45 % Backward-rewritten : 2
% 0.11/0.45 % Generated clauses : 19
% 0.11/0.45 % ...of the previous two non-redundant : 16
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 19
% 0.11/0.45 % Paramodulations : 10
% 0.11/0.45 % Factorizations : 0
% 0.11/0.45 % NegExts : 0
% 0.11/0.45 % Equation resolutions : 0
% 0.11/0.45 % Disequality decompositions : 0
% 0.11/0.45 % Total rewrite steps : 71
% 0.11/0.45 % ...of those cached : 70
% 0.11/0.45 % Propositional unsat checks : 0
% 0.11/0.45 % Propositional check models : 0
% 0.11/0.45 % Propositional check unsatisfiable : 0
% 0.11/0.45 % Propositional clauses : 0
% 0.11/0.45 % Propositional clauses after purity: 0
% 0.11/0.45 % Propositional unsat core size : 0
% 0.11/0.45 % Propositional preprocessing time : 0.000
% 0.11/0.45 % Propositional encoding time : 0.000
% 0.11/0.45 % Propositional solver time : 0.000
% 0.11/0.45 % Success case prop preproc time : 0.000
% 0.11/0.45 % Success case prop encoding time : 0.000
% 0.11/0.45 % Success case prop solver time : 0.000
% 0.11/0.45 % Current number of processed clauses : 149
% 0.11/0.45 % Positive orientable unit clauses : 1
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 0
% 0.11/0.45 % Non-unit-clauses : 148
% 0.11/0.45 % Current number of unprocessed clauses: 0
% 0.11/0.45 % ...number of literals in the above : 0
% 0.11/0.45 % Current number of archived formulas : 0
% 0.11/0.45 % Current number of archived clauses : 2
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 8478
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 1225
% 0.11/0.45 % Non-unit clause-clause subsumptions : 28
% 0.11/0.45 % Unit Clause-clause subsumption calls : 0
% 0.11/0.45 % Rewrite failures with RHS unbound : 0
% 0.11/0.45 % BW rewrite match attempts : 1
% 0.11/0.45 % BW rewrite match successes : 1
% 0.11/0.45 % Condensation attempts : 206
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 10767
% 0.11/0.45 % Search garbage collected termcells : 1040
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.014 s
% 0.11/0.45 % System time : 0.005 s
% 0.11/0.45 % Total time : 0.019 s
% 0.11/0.45 % Maximum resident set size: 3964 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.050 s
% 0.11/0.45 % System time : 0.016 s
% 0.11/0.45 % Total time : 0.066 s
% 0.11/0.45 % Maximum resident set size: 4864 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------