%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 02:01:41 PM UTC 2026
% Result : Satisfiable 0.11s 0.45s
% Output : Saturation 0.11s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named c_0_41ERROR: Could not build tree for root c_0_82ERROR: MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(c_0_82,plain,
( ~ state(bb(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(X1,s(X2)))
| state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X1)),X2),e2(s(s(X1)),s(X2))) ),
c_0_41,
[final] ).
cnf(c_0_83,plain,
( ~ state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2))
| state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))) ),
c_0_42,
[final] ).
cnf(c_0_84,plain,
( ~ state(X1,v1(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),e2(s(X2),X3))
| state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,s(X3)),e2(s(X2),s(X3))) ),
c_0_43,
[final] ).
cnf(c_0_85,plain,
( ~ state(X1,X2,v2(X3,s(X4)),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),e2(s(X3),X4))
| state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,s(X4)),e2(s(X3),s(X4))) ),
c_0_44,
[final] ).
cnf(c_0_86,plain,
( ~ state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5))
| state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5))) ),
c_0_45,
[final] ).
cnf(c_0_87,plain,
( ~ state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X1)),X2),e2(s(s(X1)),s(X2)))
| state(bb(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(X1,s(X2))) ),
c_0_46,
[final] ).
cnf(c_0_88,plain,
( ~ state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2))))
| state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2)) ),
c_0_47,
[final] ).
cnf(c_0_89,plain,
( ~ state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,s(X3)),e2(s(X2),s(X3)))
| state(X1,v1(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),e2(s(X2),X3)) ),
c_0_48,
[final] ).
cnf(c_0_90,plain,
( ~ state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,s(X4)),e2(s(X3),s(X4)))
| state(X1,X2,v2(X3,s(X4)),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),e2(s(X3),X4)) ),
c_0_49,
[final] ).
cnf(c_0_91,plain,
( ~ state(X1,X2,X3,X4,v4(X5,s(X6)),X7,X8,X9,X10,X11,e1(X5,X6),e2(s(X5),X6))
| state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(X5,s(X6)),e2(s(X5),s(X6))) ),
c_0_50,
[final] ).
cnf(c_0_92,plain,
( ~ state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7)))
| state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7))) ),
c_0_51,
[final] ).
cnf(c_0_93,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5)))
| state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)) ),
c_0_52,
[final] ).
cnf(c_0_94,plain,
( ~ state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(X5,s(X6)),e2(s(X5),s(X6)))
| state(X1,X2,X3,X4,v4(X5,s(X6)),X7,X8,X9,X10,X11,e1(X5,X6),e2(s(X5),X6)) ),
c_0_53,
[final] ).
cnf(c_0_95,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7)))
| state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))) ),
c_0_54,
[final] ).
cnf(c_0_96,plain,
( ~ state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12)
| state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12) ),
c_0_55,
[final] ).
cnf(c_0_97,plain,
( ~ state(X1,X2,v2(s(X3),X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),X12)
| state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(s(s(X3)),X4),X12) ),
c_0_56,
[final] ).
cnf(c_0_98,plain,
( ~ state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12)
| state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12) ),
c_0_57,
[final] ).
cnf(c_0_99,plain,
( ~ state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12)
| state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12) ),
c_0_58,
[final] ).
cnf(c_0_100,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12)
| state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12) ),
c_0_59,
[final] ).
cnf(c_0_101,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12) ),
c_0_60,
[final] ).
cnf(c_0_102,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12) ),
c_0_61,
[final] ).
cnf(c_0_103,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12) ),
c_0_62,
[final] ).
cnf(c_0_104,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(X8,s(X9)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(X8,s(X9)),X10,X11,e1(X8,X9),X12) ),
c_0_63,
[final] ).
cnf(c_0_105,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12) ),
c_0_64,
[final] ).
cnf(c_0_106,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12) ),
c_0_65,
[final] ).
cnf(c_0_107,plain,
( ~ state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12)
| state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12) ),
c_0_66,
[final] ).
cnf(c_0_108,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(s(X10),X11),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(s(X10),X11),e1(X10,X11),X12) ),
c_0_67,
[final] ).
cnf(c_0_109,plain,
( ~ state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(s(s(X3)),X4),X12)
| state(X1,X2,v2(s(X3),X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),X12) ),
c_0_68,
[final] ).
cnf(c_0_110,plain,
( ~ state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12)
| state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12) ),
c_0_69,
[final] ).
cnf(c_0_111,plain,
( ~ state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12)
| state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12) ),
c_0_70,
[final] ).
cnf(c_0_112,plain,
( ~ state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12)
| state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12) ),
c_0_71,
[final] ).
cnf(c_0_113,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12) ),
c_0_72,
[final] ).
cnf(c_0_114,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14))
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)) ),
c_0_73,
[final] ).
cnf(c_0_115,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12) ),
c_0_74,
[final] ).
cnf(c_0_116,plain,
( ~ state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12)
| state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12) ),
c_0_75,
[final] ).
cnf(c_0_117,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12) ),
c_0_76,
[final] ).
cnf(c_0_118,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,s2(X8,s(X9)),X10,X11,e1(X8,X9),X12)
| state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(X8,s(X9)),X12) ),
c_0_77,
[final] ).
cnf(c_0_119,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12) ),
c_0_78,
[final] ).
cnf(c_0_120,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12) ),
c_0_79,
[final] ).
cnf(c_0_121,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(s(X10),X11),e1(X10,X11),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(s(X10),X11),X12) ),
c_0_80,
[final] ).
cnf(c_0_122,plain,
( ~ state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12)
| state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12) ),
c_0_81,
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ046-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:42:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.45 % Version: 3.5.1
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1353051 completed with status 1
% 0.11/0.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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: FHUNF-FFLF21-MFFFFFNN
% 0.11/0.45 % Scheduled 7 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-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.11/0.45 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4d with 154s (1) cores
% 0.11/0.45 % Starting new_bool_3 with 154s (1) cores
% 0.11/0.45 % Starting new_bool_1 with 154s (1) cores
% 0.11/0.45 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1353061 completed with status 1
% 0.11/0.45 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.11/0.45 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.11/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.45 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S 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: FHUNF-FFLF21-MFFFFFNN
% 0.11/0.45 % Scheduled 7 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-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.11/0.45 % Preprocessing time : 0.001 s
% 0.11/0.45 % Presaturation interreduction done
% 0.11/0.45
% 0.11/0.45 % No proof found!
% 0.11/0.45 % SZS status Satisfiable
% 0.11/0.45 % SZS output start Saturation
% See solution above
% 0.11/0.45 % Parsed axioms : 41
% 0.11/0.45 % Removed by relevancy pruning/SinE : 0
% 0.11/0.45 % Initial clauses : 41
% 0.11/0.45 % Removed in clause preprocessing : 0
% 0.11/0.45 % Initial clauses in saturation : 41
% 0.11/0.45 % Processed clauses : 82
% 0.11/0.45 % ...of these trivial : 0
% 0.11/0.45 % ...subsumed : 0
% 0.11/0.45 % ...remaining for further processing : 82
% 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 : 0
% 0.11/0.45 % Generated clauses : 0
% 0.11/0.45 % ...of the previous two non-redundant : 0
% 0.11/0.45 % ...aggressively subsumed : 0
% 0.11/0.45 % Contextual simplify-reflections : 0
% 0.11/0.45 % Paramodulations : 0
% 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 : 0
% 0.11/0.45 % ...of those cached : 0
% 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 : 41
% 0.11/0.45 % Positive orientable unit clauses : 0
% 0.11/0.45 % Positive unorientable unit clauses: 0
% 0.11/0.45 % Negative unit clauses : 0
% 0.11/0.45 % Non-unit-clauses : 41
% 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 : 41
% 0.11/0.45 % Clause-clause subsumption calls (NU) : 172
% 0.11/0.45 % Rec. Clause-clause subsumption calls : 172
% 0.11/0.45 % Non-unit clause-clause subsumptions : 0
% 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 : 0
% 0.11/0.45 % BW rewrite match successes : 0
% 0.11/0.45 % Condensation attempts : 0
% 0.11/0.45 % Condensation successes : 0
% 0.11/0.45 % Termbank termtop insertions : 3224
% 0.11/0.45 % Search garbage collected termcells : 83
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.004 s
% 0.11/0.45 % System time : 0.005 s
% 0.11/0.45 % Total time : 0.009 s
% 0.11/0.45 % Maximum resident set size: 3640 pages
% 0.11/0.45
% 0.11/0.45 % -------------------------------------------------
% 0.11/0.45 % User time : 0.022 s
% 0.11/0.45 % System time : 0.015 s
% 0.11/0.45 % Total time : 0.037 s
% 0.11/0.45 % Maximum resident set size: 4864 pages
% 0.11/0.45 % E exiting
%------------------------------------------------------------------------------