%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SYN535-1 : 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 03:34:57 PM UTC 2026
% Result : Satisfiable 0.41s 0.53s
% Output : Saturation 0.41s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_121ERROR: Could not build tree for root c_0_243ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_96,negated_conjecture,
ndr1_0,
inference(csr,[status(thm)],[c_0_90,c_0_91]),
[final] ).
cnf(c_0_103,negated_conjecture,
( ~ c5_1(X1)
| ssSkC3
| ndr1_1(X1)
| c4_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_96])]),
[final] ).
cnf(c_0_104,negated_conjecture,
( c5_1(X1)
| epred4_0 ),
inference(split_equiv,[status(thm)],[c_0_97]),
[final] ).
cnf(c_0_107,negated_conjecture,
( ~ ndr1_1(X1)
| c3_1(X1)
| ssSkC1
| c2_2(X1,X2)
| c1_2(X1,X2)
| c1_2(X1,a497) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_96])]),
[final] ).
cnf(c_0_108,negated_conjecture,
( ssSkC8
| ndr1_1(a517) ),
clause16,
[final] ).
cnf(c_0_109,negated_conjecture,
( ssSkC0
| ndr1_1(a492) ),
clause23,
[final] ).
cnf(c_0_111,negated_conjecture,
( c3_0
| ndr1_1(a495) ),
clause14,
[final] ).
cnf(c_0_112,negated_conjecture,
( ~ ndr1_1(X1)
| c3_1(X1)
| ssSkC1
| c2_2(X1,X2)
| c5_2(X1,a497)
| c1_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_96])]),
[final] ).
cnf(c_0_113,negated_conjecture,
( ~ ndr1_1(X1)
| c3_1(X1)
| ssSkC1
| c2_2(X1,X2)
| c3_2(X1,a497)
| c1_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_96])]),
[final] ).
cnf(c_0_115,negated_conjecture,
( ~ c4_1(a499)
| c1_0 ),
c_0_102,
[final] ).
cnf(c_0_116,negated_conjecture,
( ssSkC3
| ndr1_1(X1)
| c4_1(X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_103,c_0_104]),
[final] ).
cnf(c_0_122,negated_conjecture,
( ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c1_2(a517,X1)
| c1_2(a517,a497) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]),
[final] ).
cnf(c_0_123,negated_conjecture,
( ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c1_2(a492,X1)
| c1_2(a492,a497) ),
inference(spm,[status(thm)],[c_0_107,c_0_109]),
[final] ).
cnf(c_0_124,negated_conjecture,
( ~ c3_2(a495,X1)
| ~ c5_2(a495,X1)
| c3_0 ),
inference(csr,[status(thm)],[c_0_110,c_0_111]),
[final] ).
cnf(c_0_127,negated_conjecture,
( ~ c4_1(a494)
| ~ ssSkC0
| c1_0 ),
c_0_114,
[final] ).
cnf(c_0_129,negated_conjecture,
( c1_0
| ssSkC3
| ndr1_1(a499)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_116]),
[final] ).
cnf(c_0_135,negated_conjecture,
( ~ c5_1(X1)
| ssSkC3
| c4_1(X1)
| c5_2(X1,a506) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_119,c_0_96])]),
[final] ).
cnf(c_0_140,negated_conjecture,
( ~ c5_1(X1)
| ssSkC3
| c4_1(X1)
| c4_2(X1,a506) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_120,c_0_96])]),
[final] ).
cnf(c_0_161,negated_conjecture,
( ~ c2_0
| ~ ndr1_1(X1)
| ~ c4_1(X1)
| ~ c1_1(X1)
| ~ c3_2(X1,X2)
| ~ c1_2(X1,X2)
| c5_2(X1,X2)
| epred3_0 ),
inference(split_equiv,[status(thm)],[c_0_121]),
[final] ).
cnf(c_0_162,negated_conjecture,
( ssSkC8
| c4_1(a517) ),
clause17,
[final] ).
cnf(c_0_163,negated_conjecture,
( ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c5_2(a517,a497)
| c1_2(a517,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_108]),
[final] ).
cnf(c_0_164,negated_conjecture,
( ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c5_2(a492,a497)
| c1_2(a492,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_109]),
[final] ).
cnf(c_0_165,negated_conjecture,
( ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c3_2(a517,a497)
| c1_2(a517,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_108]),
[final] ).
cnf(c_0_166,negated_conjecture,
( ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c3_2(a492,a497)
| c1_2(a492,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_109]),
[final] ).
cnf(c_0_167,negated_conjecture,
( ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,a497)
| c1_2(a517,a497) ),
inference(ef,[status(thm)],[c_0_122]),
[final] ).
cnf(c_0_168,negated_conjecture,
( ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,a497)
| c1_2(a492,a497) ),
inference(ef,[status(thm)],[c_0_123]),
[final] ).
cnf(c_0_169,negated_conjecture,
( c3_0
| c3_1(a495)
| ssSkC1
| c2_2(a495,X1)
| c1_2(a495,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]),
[final] ).
cnf(c_0_170,negated_conjecture,
( ~ ssSkC0
| c1_0
| ssSkC3
| ndr1_1(a494)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_127,c_0_116]),
[final] ).
cnf(c_0_171,negated_conjecture,
( ~ c3_1(a494)
| ~ ssSkC0
| c1_0 ),
c_0_128,
[final] ).
cnf(c_0_172,negated_conjecture,
( c1_0
| ssSkC3
| c3_1(a499)
| ssSkC1
| c2_2(a499,X1)
| c1_2(a499,X1)
| c1_2(a499,a497)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_107,c_0_129]),
[final] ).
cnf(c_0_173,negated_conjecture,
( ~ ssSkC7
| c2_0
| ndr1_1(a514) ),
c_0_130,
[final] ).
cnf(c_0_174,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_0
| c2_1(X1)
| c4_2(a503,a504) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_131,c_0_96])]),
[final] ).
cnf(c_0_175,negated_conjecture,
( ~ ssSkC4
| ~ ssSkC3
| c1_1(a508) ),
c_0_132,
[final] ).
cnf(c_0_177,negated_conjecture,
( ssSkC7
| c1_1(a513) ),
clause18,
[final] ).
cnf(c_0_178,negated_conjecture,
( ssSkC7
| c3_1(a513) ),
clause19,
[final] ).
cnf(c_0_179,negated_conjecture,
( ~ ssSkC7
| c2_0
| c1_1(a514) ),
c_0_133,
[final] ).
cnf(c_0_180,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_0
| ndr1_1(a503)
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_134,c_0_96])]),
[final] ).
cnf(c_0_181,negated_conjecture,
( ssSkC3
| c4_1(X1)
| c5_2(X1,a506)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_135,c_0_104]),
[final] ).
cnf(c_0_183,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| c2_1(X1)
| epred8_0 ),
inference(split_equiv,[status(thm)],[c_0_136]),
[final] ).
cnf(c_0_184,negated_conjecture,
( ~ c2_0
| ~ ssSkC8
| c1_1(a519) ),
c_0_137,
[final] ).
cnf(c_0_185,negated_conjecture,
( ~ c2_0
| ~ c2_1(a519)
| ~ ssSkC8 ),
c_0_138,
[final] ).
cnf(c_0_186,negated_conjecture,
( ~ c3_1(X1)
| ndr1_1(X1)
| c2_1(X1)
| epred2_0 ),
inference(split_equiv,[status(thm)],[c_0_139]),
[final] ).
cnf(c_0_187,negated_conjecture,
( ssSkC0
| c5_1(a492) ),
clause24,
[final] ).
cnf(c_0_188,negated_conjecture,
( ssSkC3
| c4_1(X1)
| c4_2(X1,a506)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_140,c_0_104]),
[final] ).
cnf(c_0_189,negated_conjecture,
( ~ c2_1(a509)
| ssSkC5 ),
c_0_141,
[final] ).
cnf(c_0_192,negated_conjecture,
( ~ c4_1(a513)
| ssSkC7 ),
c_0_142,
[final] ).
cnf(c_0_193,negated_conjecture,
( ~ c4_1(a507)
| ssSkC4 ),
c_0_143,
[final] ).
cnf(c_0_243,negated_conjecture,
( ~ c2_0
| ~ c1_1(a517)
| ~ c3_2(a517,X1)
| ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c5_2(a517,X1)
| c1_2(a517,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_122]),c_0_108]),c_0_162]),
[final] ).
cnf(c_0_244,negated_conjecture,
( ~ c2_0
| ~ c4_1(a492)
| ~ c1_1(a492)
| ~ c3_2(a492,X1)
| ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c5_2(a492,X1)
| c1_2(a492,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_123]),c_0_109]),
[final] ).
cnf(c_0_245,negated_conjecture,
( ~ c2_0
| ~ c1_1(a517)
| ~ c3_2(a517,X1)
| ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c5_2(a517,X1)
| c5_2(a517,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_163]),c_0_108]),c_0_162]),
[final] ).
cnf(c_0_246,negated_conjecture,
( ~ c2_0
| ~ c4_1(a492)
| ~ c1_1(a492)
| ~ c3_2(a492,X1)
| ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c5_2(a492,X1)
| c5_2(a492,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_164]),c_0_109]),
[final] ).
cnf(c_0_247,negated_conjecture,
( ~ c2_0
| ~ c1_1(a517)
| ~ c3_2(a517,X1)
| ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,X1)
| c3_2(a517,a497)
| c5_2(a517,X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_165]),c_0_108]),c_0_162]),
[final] ).
cnf(c_0_248,negated_conjecture,
( ~ c2_0
| ~ c4_1(a492)
| ~ c1_1(a492)
| ~ c3_2(a492,X1)
| ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,X1)
| c3_2(a492,a497)
| c5_2(a492,X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_166]),c_0_109]),
[final] ).
cnf(c_0_249,negated_conjecture,
( ~ c2_0
| ~ c1_1(a517)
| ~ c3_2(a517,a497)
| ssSkC8
| c3_1(a517)
| ssSkC1
| c2_2(a517,a497)
| c5_2(a517,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_167]),c_0_108]),c_0_162]),
[final] ).
cnf(c_0_250,negated_conjecture,
( ~ c2_0
| ~ c4_1(a492)
| ~ c1_1(a492)
| ~ c3_2(a492,a497)
| ssSkC0
| c3_1(a492)
| ssSkC1
| c2_2(a492,a497)
| c5_2(a492,a497)
| epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_168]),c_0_109]),
[final] ).
cnf(c_0_251,negated_conjecture,
( ~ c2_0
| ~ c4_1(a495)
| ~ c1_1(a495)
| ~ c3_2(a495,X1)
| c3_0
| c3_1(a495)
| ssSkC1
| c2_2(a495,X1)
| epred3_0 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_169]),c_0_111]),c_0_124]),
[final] ).
cnf(c_0_252,negated_conjecture,
( ~ ssSkC0
| c1_0
| ssSkC3
| ssSkC1
| c2_2(a494,X1)
| c1_2(a494,X1)
| c1_2(a494,a497)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_170]),c_0_171]),
[final] ).
cnf(c_0_253,negated_conjecture,
( ~ ssSkC0
| c1_0
| ssSkC3
| ssSkC1
| c2_2(a494,X1)
| c5_2(a494,a497)
| c1_2(a494,X1)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_170]),c_0_171]),
[final] ).
cnf(c_0_254,negated_conjecture,
( ~ ssSkC0
| c1_0
| ssSkC3
| ssSkC1
| c2_2(a494,X1)
| c3_2(a494,a497)
| c1_2(a494,X1)
| epred4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_170]),c_0_171]),
[final] ).
cnf(c_0_255,negated_conjecture,
( c1_0
| ssSkC3
| c3_1(a499)
| ssSkC1
| c2_2(a499,a497)
| c1_2(a499,a497)
| epred4_0 ),
inference(ef,[status(thm)],[c_0_172]),
[final] ).
cnf(c_0_256,negated_conjecture,
( c1_0
| ssSkC3
| c3_1(a499)
| ssSkC1
| c2_2(a499,X1)
| c5_2(a499,a497)
| c1_2(a499,X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_112,c_0_129]),
[final] ).
cnf(c_0_257,negated_conjecture,
( c1_0
| ssSkC3
| c3_1(a499)
| ssSkC1
| c2_2(a499,X1)
| c3_2(a499,a497)
| c1_2(a499,X1)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_113,c_0_129]),
[final] ).
cnf(c_0_258,negated_conjecture,
( ~ ssSkC7
| c2_0
| c3_1(a514)
| ssSkC1
| c2_2(a514,X1)
| c1_2(a514,X1)
| c1_2(a514,a497) ),
inference(spm,[status(thm)],[c_0_107,c_0_173]),
[final] ).
cnf(c_0_259,negated_conjecture,
( ~ ssSkC7
| c2_0
| c3_1(a514)
| ssSkC1
| c2_2(a514,X1)
| c5_2(a514,a497)
| c1_2(a514,X1) ),
inference(spm,[status(thm)],[c_0_112,c_0_173]),
[final] ).
cnf(c_0_260,negated_conjecture,
( ~ ssSkC7
| c2_0
| c3_1(a514)
| ssSkC1
| c2_2(a514,X1)
| c3_2(a514,a497)
| c1_2(a514,X1) ),
inference(spm,[status(thm)],[c_0_113,c_0_173]),
[final] ).
cnf(c_0_261,negated_conjecture,
( ~ ssSkC4
| ~ ssSkC3
| ~ c3_1(a508)
| c2_0
| c2_1(a508)
| c4_2(a503,a504) ),
inference(spm,[status(thm)],[c_0_174,c_0_175]),
[final] ).
cnf(c_0_262,negated_conjecture,
( ~ c3_2(a503,X1)
| ~ c5_2(a503,X1)
| c2_0
| c1_2(a503,X1)
| epred7_0 ),
inference(split_equiv,[status(thm)],[c_0_176]),
[final] ).
cnf(c_0_263,negated_conjecture,
( ssSkC7
| c2_0
| c2_1(a513)
| c4_2(a503,a504) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_177]),c_0_178]),
[final] ).
cnf(c_0_264,negated_conjecture,
( ~ ssSkC7
| ~ c3_1(a514)
| c2_0
| c2_1(a514)
| c4_2(a503,a504) ),
inference(spm,[status(thm)],[c_0_174,c_0_179]),
[final] ).
cnf(c_0_265,negated_conjecture,
( ~ ssSkC4
| ~ ssSkC3
| ~ c3_1(a508)
| c2_0
| ndr1_1(a503)
| c2_1(a508) ),
inference(spm,[status(thm)],[c_0_180,c_0_175]),
[final] ).
cnf(c_0_266,negated_conjecture,
( ~ c3_2(a495,a506)
| c3_0
| ssSkC3
| c4_1(a495)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_124,c_0_181]),
[final] ).
cnf(c_0_267,negated_conjecture,
( ~ ssSkC5
| ~ ndr1_1(X1)
| ~ c4_2(X1,X2)
| ~ c3_2(X1,X2)
| c3_1(X1)
| epred1_0 ),
inference(split_equiv,[status(thm)],[c_0_182]),
[final] ).
cnf(c_0_268,negated_conjecture,
( ssSkC7
| c2_0
| ndr1_1(a503)
| c2_1(a513) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_177]),c_0_178]),
[final] ).
cnf(c_0_269,negated_conjecture,
( ~ ssSkC7
| ~ c3_1(a514)
| c2_0
| ndr1_1(a503)
| c2_1(a514) ),
inference(spm,[status(thm)],[c_0_180,c_0_179]),
[final] ).
cnf(c_0_270,negated_conjecture,
( ~ ssSkC7
| ~ c3_1(a514)
| c2_0
| c2_1(a514)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_179]),
[final] ).
cnf(c_0_271,negated_conjecture,
( ~ ssSkC4
| ~ ssSkC3
| ~ c3_1(a508)
| c2_1(a508)
| epred8_0 ),
inference(spm,[status(thm)],[c_0_183,c_0_175]),
[final] ).
cnf(c_0_272,negated_conjecture,
( ~ ssSkC8
| ~ c2_0
| ~ c3_1(a519)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]),
[final] ).
cnf(c_0_273,negated_conjecture,
( ~ ssSkC8
| ~ c2_0
| ~ c3_1(a519)
| ndr1_1(a519)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_185,c_0_186]),
[final] ).
cnf(c_0_274,negated_conjecture,
( ssSkC0
| ssSkC3
| c4_1(a492)
| c5_2(a492,a506) ),
inference(spm,[status(thm)],[c_0_135,c_0_187]),
[final] ).
cnf(c_0_275,negated_conjecture,
( c1_0
| ssSkC3
| c5_2(a499,a506)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_181]),
[final] ).
cnf(c_0_276,negated_conjecture,
( c1_0
| ssSkC3
| c4_2(a499,a506)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_115,c_0_188]),
[final] ).
cnf(c_0_277,negated_conjecture,
( ssSkC7
| c2_1(a513)
| epred8_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_177]),c_0_178]),
[final] ).
cnf(c_0_278,negated_conjecture,
( ~ c3_1(a509)
| ssSkC5
| ndr1_1(a509)
| epred2_0 ),
inference(spm,[status(thm)],[c_0_189,c_0_186]),
[final] ).
cnf(c_0_279,negated_conjecture,
( ~ c3_1(X1)
| ~ c3_2(X1,a510)
| c2_1(X1)
| epred6_0 ),
inference(split_equiv,[status(thm)],[c_0_190]),
[final] ).
cnf(c_0_280,negated_conjecture,
( ssSkC0
| ssSkC3
| c4_1(a492)
| c4_2(a492,a506) ),
inference(spm,[status(thm)],[c_0_140,c_0_187]),
[final] ).
cnf(c_0_281,negated_conjecture,
( ~ c3_1(X1)
| ~ c2_2(X1,a510)
| c2_1(X1)
| epred5_0 ),
inference(split_equiv,[status(thm)],[c_0_191]),
[final] ).
cnf(c_0_282,negated_conjecture,
( ssSkC7
| ssSkC3
| ndr1_1(a513)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_192,c_0_116]),
[final] ).
cnf(c_0_283,negated_conjecture,
( ssSkC4
| ssSkC3
| ndr1_1(a507)
| epred4_0 ),
inference(spm,[status(thm)],[c_0_193,c_0_116]),
[final] ).
cnf(c_0_284,negated_conjecture,
( ~ epred7_0
| ~ epred8_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_194,c_0_96])]),c_0_180]),c_0_176]),c_0_136]),
[final] ).
cnf(c_0_285,negated_conjecture,
( ~ epred1_0
| ~ epred6_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_195,c_0_96])]),c_0_182]),c_0_190]),
[final] ).
cnf(c_0_286,negated_conjecture,
( ~ epred1_0
| ~ epred5_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_196,c_0_96])]),c_0_182]),c_0_191]),
[final] ).
cnf(c_0_287,negated_conjecture,
( ~ epred3_0
| ~ epred4_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_96])]),c_0_121]),c_0_97]),
[final] ).
cnf(c_0_288,negated_conjecture,
( ~ epred1_0
| ~ epred2_0 ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_96])]),c_0_182]),c_0_139]),
[final] ).
cnf(c_0_289,negated_conjecture,
( ~ ssSkC2
| ~ c2_0
| ~ ndr1_1(X1)
| ~ c4_2(X1,X2)
| ~ c3_2(X1,a502)
| c5_1(X1)
| c3_2(X1,X2)
| c1_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_96])]),
[final] ).
cnf(c_0_290,negated_conjecture,
( ~ ssSkC2
| ~ c2_0
| ~ ndr1_1(X1)
| ~ c4_2(X1,X2)
| ~ c2_2(X1,a502)
| c5_1(X1)
| c3_2(X1,X2)
| c1_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_200,c_0_96])]),
[final] ).
cnf(c_0_291,negated_conjecture,
( ~ ssSkC2
| ~ c2_0
| ~ ndr1_1(X1)
| ~ c4_2(X1,X2)
| c5_1(X1)
| c3_2(X1,X2)
| c5_2(X1,a502)
| c1_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_201,c_0_96])]),
[final] ).
cnf(c_0_292,negated_conjecture,
( ~ ssSkC7
| ~ c4_2(a514,X1)
| c2_0
| c3_2(a514,X1)
| c5_2(a514,X1) ),
inference(csr,[status(thm)],[c_0_202,c_0_173]),
[final] ).
cnf(c_0_293,negated_conjecture,
( ~ ndr1_1(a494)
| ~ c4_2(a494,X1)
| ~ ssSkC0
| c1_0
| c1_2(a494,X1)
| c3_2(a494,X1) ),
c_0_203,
[final] ).
cnf(c_0_294,negated_conjecture,
( ~ c4_0
| ~ ndr1_1(X1)
| ~ c4_1(X1)
| ~ c3_1(X1)
| ~ c4_2(X1,X2)
| ~ c5_0
| ~ c5_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_96])]),
[final] ).
cnf(c_0_295,negated_conjecture,
( ~ ndr1_1(a507)
| ~ c5_2(a507,X1)
| ~ c3_2(a507,X1)
| ~ c2_2(a507,X1)
| ssSkC4 ),
c_0_205,
[final] ).
cnf(c_0_296,negated_conjecture,
( ~ c1_0
| ~ ndr1_1(a516)
| ~ c4_2(a516,X1)
| c5_2(a516,X1)
| c3_2(a516,X1) ),
c_0_206,
[final] ).
cnf(c_0_297,negated_conjecture,
( ~ ndr1_1(a509)
| ~ c2_2(a509,X1)
| ssSkC5
| c5_2(a509,X1)
| c4_2(a509,X1) ),
c_0_207,
[final] ).
cnf(c_0_298,negated_conjecture,
( ~ ndr1_1(a511)
| ~ c3_2(a511,X1)
| ssSkC6
| c4_2(a511,X1)
| c2_2(a511,X1) ),
c_0_208,
[final] ).
cnf(c_0_299,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c5_2(a503,a505)
| c2_0
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_209,c_0_96])]),
[final] ).
cnf(c_0_300,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c5_2(a503,a504)
| c2_0
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_210,c_0_96])]),
[final] ).
cnf(c_0_301,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c3_2(a503,a505)
| c2_0
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_211,c_0_96])]),
[final] ).
cnf(c_0_302,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_2(a503,a505)
| c2_0
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_96])]),
[final] ).
cnf(c_0_303,negated_conjecture,
( ~ c1_1(X1)
| ~ c3_1(X1)
| ~ c2_2(a503,a504)
| c2_0
| c2_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_213,c_0_96])]),
[final] ).
cnf(c_0_304,negated_conjecture,
( ~ ndr1_1(a498)
| ~ c4_2(a498,X1)
| ~ ssSkC1
| c3_0
| c3_2(a498,X1) ),
c_0_214,
[final] ).
cnf(c_0_305,negated_conjecture,
( ~ c5_1(X1)
| ~ c3_2(X1,a506)
| ssSkC3
| c4_1(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_215,c_0_96])]),
[final] ).
cnf(c_0_306,negated_conjecture,
( ~ c5_2(a514,a515)
| ~ ssSkC7
| c2_0 ),
c_0_216,
[final] ).
cnf(c_0_307,negated_conjecture,
( ~ ssSkC7
| c2_0
| c3_2(a514,a515) ),
c_0_217,
[final] ).
cnf(c_0_308,negated_conjecture,
( ~ ssSkC7
| c2_0
| c2_2(a514,a515) ),
c_0_218,
[final] ).
cnf(c_0_309,negated_conjecture,
( ~ c5_2(a492,a493)
| ssSkC0 ),
c_0_219,
[final] ).
cnf(c_0_310,negated_conjecture,
( ~ c3_0
| c4_1(X1)
| c5_1(X1)
| c5_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_220,c_0_96])]),
[final] ).
cnf(c_0_311,negated_conjecture,
( ~ c3_2(a492,a493)
| ssSkC0 ),
c_0_221,
[final] ).
cnf(c_0_312,negated_conjecture,
( ~ c2_2(a492,a493)
| ssSkC0 ),
c_0_222,
[final] ).
cnf(c_0_313,negated_conjecture,
( ~ c3_2(a500,a501)
| ssSkC2 ),
c_0_223,
[final] ).
cnf(c_0_314,negated_conjecture,
( ~ c2_2(a500,a501)
| ssSkC2 ),
c_0_224,
[final] ).
cnf(c_0_315,negated_conjecture,
( ~ c4_2(a517,a518)
| ssSkC8 ),
c_0_225,
[final] ).
cnf(c_0_316,negated_conjecture,
( ~ c5_2(a495,a496)
| c3_0 ),
c_0_226,
[final] ).
cnf(c_0_317,negated_conjecture,
( ssSkC2
| c1_2(a500,a501) ),
clause47,
[final] ).
cnf(c_0_318,negated_conjecture,
( ssSkC8
| c5_2(a517,a518) ),
clause40,
[final] ).
cnf(c_0_319,negated_conjecture,
( ssSkC8
| c3_2(a517,a518) ),
clause39,
[final] ).
cnf(c_0_320,negated_conjecture,
( c3_0
| c2_2(a495,a496) ),
clause35,
[final] ).
cnf(c_0_321,negated_conjecture,
( c3_0
| c4_2(a495,a496) ),
clause34,
[final] ).
cnf(c_0_322,negated_conjecture,
( ~ c4_0
| ~ c3_1(a512)
| ~ ssSkC6 ),
c_0_227,
[final] ).
cnf(c_0_323,negated_conjecture,
( ~ ssSkC4
| ~ ssSkC3
| c5_1(a508) ),
c_0_228,
[final] ).
cnf(c_0_324,negated_conjecture,
( ~ c4_0
| ~ ssSkC6
| c1_1(a512) ),
c_0_229,
[final] ).
cnf(c_0_325,negated_conjecture,
( ~ c4_0
| ~ ssSkC6
| c4_1(a512) ),
c_0_230,
[final] ).
cnf(c_0_326,negated_conjecture,
( ~ c1_0
| ~ c1_1(a516) ),
c_0_231,
[final] ).
cnf(c_0_327,negated_conjecture,
( ~ c2_1(a492)
| ssSkC0 ),
c_0_232,
[final] ).
cnf(c_0_328,negated_conjecture,
( ~ c2_1(a500)
| ssSkC2 ),
c_0_233,
[final] ).
cnf(c_0_329,negated_conjecture,
( ~ ssSkC1
| c3_0
| c4_1(a498) ),
c_0_234,
[final] ).
cnf(c_0_330,negated_conjecture,
( ~ c3_1(a511)
| ssSkC6 ),
c_0_235,
[final] ).
cnf(c_0_331,negated_conjecture,
( ~ c2_1(a511)
| ssSkC6 ),
c_0_236,
[final] ).
cnf(c_0_332,negated_conjecture,
( ~ c2_1(a517)
| ssSkC8 ),
c_0_237,
[final] ).
cnf(c_0_333,negated_conjecture,
( ~ c1_0
| c3_1(a516) ),
c_0_238,
[final] ).
cnf(c_0_334,negated_conjecture,
( ssSkC2
| c3_1(a500) ),
clause22,
[final] ).
cnf(c_0_335,negated_conjecture,
( ssSkC2
| ndr1_1(a500) ),
clause21,
[final] ).
cnf(c_0_336,negated_conjecture,
( ssSkC4
| c3_1(a507) ),
clause20,
[final] ).
cnf(c_0_337,negated_conjecture,
( c3_0
| c2_1(a495) ),
clause15,
[final] ).
cnf(c_0_338,negated_conjecture,
( ~ c1_0
| ~ c4_0
| c3_0 ),
c_0_239,
[final] ).
cnf(c_0_339,negated_conjecture,
( ~ c5_0
| c4_0
| c3_0 ),
c_0_240,
[final] ).
cnf(c_0_340,negated_conjecture,
( ~ c5_0
| c1_0
| c3_0 ),
c_0_241,
[final] ).
cnf(c_0_341,negated_conjecture,
( ~ c5_0
| ~ c2_0 ),
c_0_242,
[final] ).
cnf(c_0_342,negated_conjecture,
( c1_0
| c4_0 ),
clause3,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN535-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n009.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:06:43 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.45 Running first-order theorem proving
% 0.15/0.45 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
% 0.41/0.53 % Version: 3.5.1
% 0.41/0.53 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.41/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.53 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.41/0.53 % Starting new_bool_3 with 300s (1) cores
% 0.41/0.53 % Starting new_bool_1 with 300s (1) cores
% 0.41/0.53 % Starting sh5l with 300s (1) cores
% 0.41/0.53 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1591512 completed with status 1
% 0.41/0.53 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.41/0.53 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.41/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.53 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.41/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.53 % No SInE strategy applied
% 0.41/0.53 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.41/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.53 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.41/0.53 % Starting H----_011_C07_F1_PI_AE_OS_R8_SP_S1U with 136s (1) cores
% 0.41/0.53 % Starting G----_425_C05_02_F1_SE_CS_SP_PS_RG_S04AI with 136s (1) cores
% 0.41/0.53 % Starting G-E--_208_B07--C_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.41/0.53 % G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with pid 1591517 completed with status 1
% 0.41/0.53 % Result found by G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1
% 0.41/0.53 % Preprocessing class: FSLSSLSMSSSNFFN.
% 0.41/0.53 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.53 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 1500s (5) cores
% 0.41/0.53 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.41/0.53 % No SInE strategy applied
% 0.41/0.53 % Search class: FGHNF-FFMM00-SFFFFFNN
% 0.41/0.53 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.53 % Starting SubtermCWHack with 136s (1) cores
% 0.41/0.53 % Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y1 with 151s (1) cores
% 0.41/0.53 % Preprocessing time : 0.003 s
% 0.41/0.53
% 0.41/0.53 % No proof found!
% 0.41/0.53 % SZS status Satisfiable
% 0.41/0.53 % SZS output start Saturation
% See solution above
% 0.41/0.53 % Parsed axioms : 100
% 0.41/0.53 % Removed by relevancy pruning/SinE : 0
% 0.41/0.53 % Initial clauses : 100
% 0.41/0.53 % Removed in clause preprocessing : 0
% 0.41/0.53 % Initial clauses in saturation : 100
% 0.41/0.53 % Processed clauses : 202
% 0.41/0.53 % ...of these trivial : 4
% 0.41/0.53 % ...subsumed : 33
% 0.41/0.53 % ...remaining for further processing : 165
% 0.41/0.53 % Other redundant clauses eliminated : 0
% 0.41/0.53 % Clauses deleted for lack of memory : 0
% 0.41/0.53 % Backward-subsumed : 4
% 0.41/0.53 % Backward-rewritten : 9
% 0.41/0.53 % Generated clauses : 115
% 0.41/0.53 % ...of the previous two non-redundant : 107
% 0.41/0.53 % ...aggressively subsumed : 0
% 0.41/0.53 % Contextual simplify-reflections : 26
% 0.41/0.53 % Paramodulations : 94
% 0.41/0.53 % Factorizations : 8
% 0.41/0.53 % NegExts : 0
% 0.41/0.53 % Equation resolutions : 0
% 0.41/0.53 % Disequality decompositions : 0
% 0.41/0.53 % Total rewrite steps : 37
% 0.41/0.53 % ...of those cached : 36
% 0.41/0.53 % Propositional unsat checks : 0
% 0.41/0.53 % Propositional check models : 0
% 0.41/0.53 % Propositional check unsatisfiable : 0
% 0.41/0.53 % Propositional clauses : 0
% 0.41/0.53 % Propositional clauses after purity: 0
% 0.41/0.53 % Propositional unsat core size : 0
% 0.41/0.53 % Propositional preprocessing time : 0.000
% 0.41/0.53 % Propositional encoding time : 0.000
% 0.41/0.53 % Propositional solver time : 0.000
% 0.41/0.53 % Success case prop preproc time : 0.000
% 0.41/0.53 % Success case prop encoding time : 0.000
% 0.41/0.53 % Success case prop solver time : 0.000
% 0.41/0.53 % Current number of processed clauses : 147
% 0.41/0.53 % Positive orientable unit clauses : 1
% 0.41/0.53 % Positive unorientable unit clauses: 0
% 0.41/0.53 % Negative unit clauses : 0
% 0.41/0.53 % Non-unit-clauses : 146
% 0.41/0.53 % Current number of unprocessed clauses: 0
% 0.41/0.53 % ...number of literals in the above : 0
% 0.41/0.53 % Current number of archived formulas : 0
% 0.41/0.53 % Current number of archived clauses : 13
% 0.41/0.53 % Clause-clause subsumption calls (NU) : 13944
% 0.41/0.53 % Rec. Clause-clause subsumption calls : 1021
% 0.41/0.53 % Non-unit clause-clause subsumptions : 67
% 0.41/0.53 % Unit Clause-clause subsumption calls : 0
% 0.41/0.53 % Rewrite failures with RHS unbound : 0
% 0.41/0.53 % BW rewrite match attempts : 1
% 0.41/0.53 % BW rewrite match successes : 1
% 0.41/0.53 % Condensation attempts : 202
% 0.41/0.53 % Condensation successes : 0
% 0.41/0.53 % Termbank termtop insertions : 6804
% 0.41/0.53 % Search garbage collected termcells : 291
% 0.41/0.53
% 0.41/0.53 % -------------------------------------------------
% 0.41/0.53 % User time : 0.023 s
% 0.41/0.53 % System time : 0.006 s
% 0.41/0.53 % Total time : 0.029 s
% 0.41/0.53 % Maximum resident set size: 3720 pages
% 0.41/0.53
% 0.41/0.53 % -------------------------------------------------
% 0.41/0.53 % User time : 0.097 s
% 0.41/0.53 % System time : 0.019 s
% 0.41/0.53 % Total time : 0.116 s
% 0.41/0.53 % Maximum resident set size: 4608 pages
% 0.41/0.53 % E exiting
%------------------------------------------------------------------------------