%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SYO669-1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 16:06:04 EDT 2022
% Result : Unsatisfiable 18.13s 2.67s
% Output : CNFRefutation 18.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO669-1 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 02:25:45 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.38 # No SInE strategy applied
% 0.19/0.38 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.38 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.38 #
% 0.19/0.38 # Presaturation interreduction done
% 0.19/0.38 # Number of axioms: 50 Number of unprocessed: 50
% 0.19/0.38 # Tableaux proof search.
% 0.19/0.38 # APR header successfully linked.
% 0.19/0.38 # Hello from C++
% 0.19/0.38 # The folding up rule is enabled...
% 0.19/0.38 # Local unification is enabled...
% 0.19/0.38 # Any saturation attempts will use folding labels...
% 0.19/0.38 # 50 beginning clauses after preprocessing and clausification
% 0.19/0.38 # No conjectures after preprocessing. Attempting to resurrect them from ax_archive.
% 0.19/0.38 # No conjectures.
% 0.19/0.38 # There are 50 start rule candidates:
% 0.19/0.38 # Found 2 unit axioms.
% 0.19/0.38 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.38 # 50 start rule tableaux created.
% 0.19/0.38 # 48 extension rule candidate clauses
% 0.19/0.38 # 2 unit axiom clauses
% 0.19/0.38
% 0.19/0.38 # Requested 8, 32 cores available to the main process.
% 18.13/2.67 # There were 4 total branch saturation attempts.
% 18.13/2.67 # There were 0 of these attempts blocked.
% 18.13/2.67 # There were 0 deferred branch saturation attempts.
% 18.13/2.67 # There were 0 free duplicated saturations.
% 18.13/2.67 # There were 4 total successful branch saturations.
% 18.13/2.67 # There were 0 successful branch saturations in interreduction.
% 18.13/2.67 # There were 0 successful branch saturations on the branch.
% 18.13/2.67 # There were 4 successful branch saturations after the branch.
% 18.13/2.67 # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.13/2.67 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.13/2.67 # Begin clausification derivation
% 18.13/2.67
% 18.13/2.67 # End clausification derivation
% 18.13/2.67 # Begin listing active clauses obtained from FOF to CNF conversion
% 18.13/2.67 cnf(i_0_64, plain, ('LE'(f(X1),s(s(s('0')))))).
% 18.13/2.67 cnf(i_0_95, plain, (~'LE'(f(z),'0'))).
% 18.13/2.67 cnf(i_0_59, plain, ('LE'(f(X1),'0')|'E'('0',f(X1))|~'LE'(f(X1),s('0')))).
% 18.13/2.67 cnf(i_0_67, plain, ('LE'(f(X1),'0')|'E'('0',f(suc(X1)))|~'LE'(f(suc(X1)),s('0')))).
% 18.13/2.67 cnf(i_0_83, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(X1))|~'LE'(f(X1),s(s('0'))))).
% 18.13/2.67 cnf(i_0_60, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(suc(X1)))|~'LE'(f(suc(X1)),s(s('0'))))).
% 18.13/2.67 cnf(i_0_74, plain, ('LE'(f(X1),'0')|'E'('0',f(suc(suc(X1))))|~'LE'(f(suc(suc(X1))),s('0')))).
% 18.13/2.67 cnf(i_0_51, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(X1)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_57, plain, ('LE'(f(X1),'0')|'E'('0',f(suc(suc(suc(X1)))))|~'LE'(f(suc(suc(suc(X1)))),s('0')))).
% 18.13/2.67 cnf(i_0_90, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_86, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(suc(suc(X1))))|~'LE'(f(suc(suc(X1))),s(s('0'))))).
% 18.13/2.67 cnf(i_0_81, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(suc(X1))))).
% 18.13/2.67 cnf(i_0_98, plain, ('LE'(f(X1),s('0'))|'E'(s('0'),f(suc(suc(suc(X1)))))|~'LE'(f(suc(suc(suc(X1)))),s(s('0'))))).
% 18.13/2.67 cnf(i_0_56, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(suc(suc(X1)))))).
% 18.13/2.67 cnf(i_0_78, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(X1)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_53, plain, ('LE'(f(X1),s(s('0')))|'E'(s(s('0')),f(suc(suc(suc(X1))))))).
% 18.13/2.67 cnf(i_0_65, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(X1)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_87, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(suc(X1))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_68, plain, (iLEQ(suc(X1),suc(X1))|~'E'('0',f(suc(suc(suc(X1)))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X1)))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_52, plain, (iLEQ(suc(X1),suc(X1))|~'E'(s('0'),f(suc(suc(suc(X1)))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X1),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_89, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(suc(X1))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_80, plain, ('E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_54, plain, (iLEQ(suc(X1),suc(X1))|'E'(f(X1),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_62, plain, (iLEQ(suc(X1),suc(X1))|~'E'(s(s('0')),f(suc(suc(suc(X1)))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_73, plain, ('E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_91, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_58, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~'E'('0',f(X1))|~'E'('0',f(X2)))).
% 18.13/2.67 cnf(i_0_84, plain, ('E'(f(X1),f(suc(X1)))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_66, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(suc(suc(X2)))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~'E'('0',f(X1))|~'E'('0',f(X2)))).
% 18.13/2.67 cnf(i_0_63, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(suc(suc(X2)))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_75, plain, (~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(suc(suc(X1)))))|~'E'('0',f(suc(suc(suc(X2)))))|~'E'(f(X1),f(suc(suc(X1))))|~'E'(f(X2),f(suc(suc(X2))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~'E'('0',f(X1))|~'E'('0',f(X2)))).
% 18.13/2.67 cnf(i_0_72, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X1))|~'E'(s('0'),f(suc(suc(suc(X2)))))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(f(X2),f(suc(suc(X2))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X2)))).
% 18.13/2.67 cnf(i_0_96, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(suc(X2)))))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(f(X2),f(suc(suc(X2))))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_97, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_88, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X2),suc(X1))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X2)))).
% 18.13/2.67 cnf(i_0_61, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(suc(X2))))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_92, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'('0',f(suc(suc(suc(X2)))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(X1)))|~'E'('0',f(suc(X2)))|~'E'('0',f(X1))|~'E'('0',f(X2)))).
% 18.13/2.67 cnf(i_0_77, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X2),suc(X1))|~'E'('0',f(suc(suc(suc(X2)))))|~'E'('0',f(suc(suc(X2))))|~'E'('0',f(suc(suc(X1))))|~'E'('0',f(suc(X2)))|~'E'('0',f(suc(X1)))|~'E'('0',f(X2))|~'E'('0',f(X1)))).
% 18.13/2.67 cnf(i_0_69, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_93, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(X2)))|~iLEQ(suc(X2),suc(X1))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(X2)))).
% 18.13/2.67 cnf(i_0_85, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X2),suc(X1))|~'E'(s(s('0')),f(suc(suc(suc(X2)))))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(X2)))).
% 18.13/2.67 cnf(i_0_79, plain, ('E'(f(X1),f(suc(X1)))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(suc(suc(X2)))))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_71, plain, (~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(suc(X2)))))|~'E'(s('0'),f(suc(suc(suc(X1)))))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(f(X2),f(suc(suc(X2))))|~'E'(f(X1),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_55, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X2),suc(X1))|~'E'(s('0'),f(suc(suc(suc(X2)))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(f(X2),f(suc(suc(X2))))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(X1))|~'E'(s('0'),f(X2)))).
% 18.13/2.67 cnf(i_0_70, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(suc(X2))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_100, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s('0'),f(suc(suc(suc(X2)))))|~'E'(s('0'),f(suc(suc(X2))))|~'E'(s('0'),f(suc(suc(X1))))|~'E'(s('0'),f(suc(X2)))|~'E'(s('0'),f(suc(X1)))|~'E'(s('0'),f(X2))|~'E'(s('0'),f(X1)))).
% 18.13/2.67 cnf(i_0_94, plain, ('E'(f(X1),f(suc(suc(X1))))|'E'(f(X2),f(suc(suc(X2))))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_76, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X2),suc(X1))|~'E'(s(s('0')),f(suc(suc(suc(X2)))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(X1))|~'E'(s(s('0')),f(X2)))).
% 18.13/2.67 cnf(i_0_99, plain, ('E'(f(X1),f(suc(suc(X1))))|~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(suc(suc(X2)))))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 cnf(i_0_82, plain, (~iLEQ(suc(X1),suc(X2))|~'E'(s(s('0')),f(suc(suc(suc(X2)))))|~'E'(s(s('0')),f(suc(suc(suc(X1)))))|~'E'(s(s('0')),f(suc(suc(X2))))|~'E'(s(s('0')),f(suc(suc(X1))))|~'E'(s(s('0')),f(suc(X2)))|~'E'(s(s('0')),f(suc(X1)))|~'E'(s(s('0')),f(X2))|~'E'(s(s('0')),f(X1)))).
% 18.13/2.67 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 18.13/2.67 # Begin printing tableau
% 18.13/2.67 # Found 7 steps
% 18.13/2.67 cnf(i_0_95, plain, (~'LE'(f(z),'0')), inference(start_rule)).
% 18.13/2.67 cnf(i_0_102, plain, (~'LE'(f(z),'0')), inference(extension_rule, [i_0_59])).
% 18.13/2.67 cnf(i_0_411, plain, ('E'('0',f(z))), inference(extension_rule, [i_0_51])).
% 18.13/2.67 cnf(i_0_412, plain, (~'LE'(f(z),s('0'))), inference(etableau_closure_rule, [i_0_412, ...])).
% 18.13/2.67 cnf(i_0_425, plain, (iLEQ(suc(z),suc(z))), inference(etableau_closure_rule, [i_0_425, ...])).
% 18.13/2.67 cnf(i_0_426, plain, ('E'(f(z),f(suc(z)))), inference(etableau_closure_rule, [i_0_426, ...])).
% 18.13/2.67 cnf(i_0_427, plain, (~'E'('0',f(suc(z)))), inference(etableau_closure_rule, [i_0_427, ...])).
% 18.13/2.67 # End printing tableau
% 18.13/2.67 # SZS output end
% 18.13/2.67 # Branches closed with saturation will be marked with an "s"
% 18.13/2.67 # Child (31037) has found a proof.
% 18.13/2.67
% 18.13/2.67 # Proof search is over...
% 18.13/2.67 # Freeing feature tree
%------------------------------------------------------------------------------