TSTP Solution File: SYN658-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN658-1 : TPTP v8.1.0. Released v2.5.0.
% 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 : n005.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 06:13:07 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN658-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.12/0.32  % Computer : n005.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jul 12 07:52:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.36  # No SInE strategy applied
% 0.19/0.36  # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.36  # and selection function SelectComplexExceptUniqMaxHorn.
% 0.19/0.36  #
% 0.19/0.36  # Presaturation interreduction done
% 0.19/0.36  # Number of axioms: 50 Number of unprocessed: 50
% 0.19/0.36  # Tableaux proof search.
% 0.19/0.36  # APR header successfully linked.
% 0.19/0.36  # Hello from C++
% 0.19/0.36  # The folding up rule is enabled...
% 0.19/0.36  # Local unification is enabled...
% 0.19/0.36  # Any saturation attempts will use folding labels...
% 0.19/0.36  # 50 beginning clauses after preprocessing and clausification
% 0.19/0.36  # Creating start rules for all 50 conjectures.
% 0.19/0.36  # There are 50 start rule candidates:
% 0.19/0.36  # Found 20 unit axioms.
% 0.19/0.36  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.36  # 50 start rule tableaux created.
% 0.19/0.36  # 30 extension rule candidate clauses
% 0.19/0.36  # 20 unit axiom clauses
% 0.19/0.36  
% 0.19/0.36  # Requested 8, 32 cores available to the main process.
% 0.19/0.51  # There were 1 total branch saturation attempts.
% 0.19/0.51  # There were 0 of these attempts blocked.
% 0.19/0.51  # There were 0 deferred branch saturation attempts.
% 0.19/0.51  # There were 0 free duplicated saturations.
% 0.19/0.51  # There were 1 total successful branch saturations.
% 0.19/0.51  # There were 0 successful branch saturations in interreduction.
% 0.19/0.51  # There were 0 successful branch saturations on the branch.
% 0.19/0.51  # There were 1 successful branch saturations after the branch.
% 0.19/0.51  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51  # Begin clausification derivation
% 0.19/0.51  
% 0.19/0.51  # End clausification derivation
% 0.19/0.51  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.51  cnf(i_0_57, negated_conjecture, (p24(c32,c31))).
% 0.19/0.51  cnf(i_0_60, negated_conjecture, (p24(c32,c34))).
% 0.19/0.51  cnf(i_0_58, negated_conjecture, (p26(c32,c31))).
% 0.19/0.51  cnf(i_0_59, negated_conjecture, (p26(c31,c35))).
% 0.19/0.51  cnf(i_0_51, negated_conjecture, (p17(X1,X1))).
% 0.19/0.51  cnf(i_0_52, negated_conjecture, (p7(X1,X1))).
% 0.19/0.51  cnf(i_0_53, negated_conjecture, (p6(X1,X1))).
% 0.19/0.51  cnf(i_0_54, negated_conjecture, (p4(X1,X1))).
% 0.19/0.51  cnf(i_0_55, negated_conjecture, (p3(X1,X1))).
% 0.19/0.51  cnf(i_0_56, negated_conjecture, (p2(X1,X1))).
% 0.19/0.51  cnf(i_0_62, negated_conjecture, (p23(f10(f11(f12(c33))),c28))).
% 0.19/0.51  cnf(i_0_64, negated_conjecture, (p25(c32,f18(f8(c27,f9(c28,c29)))))).
% 0.19/0.51  cnf(i_0_63, negated_conjecture, (p25(c35,f18(f8(c27,f9(c28,c29)))))).
% 0.19/0.51  cnf(i_0_79, negated_conjecture, (p4(f5(f8(c27,f9(c28,c29)),c30,c31),c32))).
% 0.19/0.51  cnf(i_0_80, negated_conjecture, (p4(c35,f13(c32,f16(f8(c27,f9(c28,c29)),c31))))).
% 0.19/0.51  cnf(i_0_92, negated_conjecture, (p4(f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c31)))).
% 0.19/0.51  cnf(i_0_93, negated_conjecture, (p24(c34,f13(c32,f14(f16(f8(c27,f9(c28,c29)),c31),f15(f10(f11(f12(c33))))))))).
% 0.19/0.51  cnf(i_0_65, negated_conjecture, (p6(f21(f8(X1,f9(X2,X3))),X2))).
% 0.19/0.51  cnf(i_0_61, negated_conjecture, (~p6(c28,f10(c33)))).
% 0.19/0.51  cnf(i_0_94, negated_conjecture, (~p4(f5(f8(c27,f9(c28,c29)),c36,c31),f5(f8(c27,f9(c28,c29)),c36,c34)))).
% 0.19/0.51  cnf(i_0_66, negated_conjecture, (p17(f18(X1),f18(X2))|~p2(X1,X2))).
% 0.19/0.51  cnf(i_0_70, negated_conjecture, (p6(f10(X1),f10(X2))|~p6(X1,X2))).
% 0.19/0.51  cnf(i_0_73, negated_conjecture, (p17(X1,X2)|~p17(X3,X2)|~p17(X3,X1))).
% 0.19/0.51  cnf(i_0_74, negated_conjecture, (p7(X1,X2)|~p7(X3,X2)|~p7(X3,X1))).
% 0.19/0.51  cnf(i_0_75, negated_conjecture, (p6(X1,X2)|~p6(X3,X2)|~p6(X3,X1))).
% 0.19/0.51  cnf(i_0_76, negated_conjecture, (p4(X1,X2)|~p4(X3,X2)|~p4(X3,X1))).
% 0.19/0.51  cnf(i_0_68, negated_conjecture, (p6(f12(X1),f12(X2))|~p6(X1,X2))).
% 0.19/0.51  cnf(i_0_91, negated_conjecture, (~p25(X1,f18(f8(c27,f9(c28,c29))))|~p24(X1,c35)|~p24(c32,X1))).
% 0.19/0.51  cnf(i_0_69, negated_conjecture, (p6(f11(X1),f11(X2))|~p6(X1,X2))).
% 0.19/0.51  cnf(i_0_67, negated_conjecture, (p6(f21(X1),f21(X2))|~p2(X1,X2))).
% 0.19/0.51  cnf(i_0_77, negated_conjecture, (p3(X1,X2)|~p3(X3,X2)|~p3(X3,X1))).
% 0.19/0.51  cnf(i_0_78, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.51  cnf(i_0_71, negated_conjecture, (p4(f19(X1),f19(X2))|~p4(X1,X2))).
% 0.19/0.51  cnf(i_0_72, negated_conjecture, (p4(f15(X1),f15(X2))|~p6(X1,X2))).
% 0.19/0.51  cnf(i_0_95, negated_conjecture, (p24(f19(f20(c34,c31)),f19(f20(c34,X1)))|~p25(X1,f18(f8(c27,f9(c28,c29)))))).
% 0.19/0.51  cnf(i_0_100, negated_conjecture, (p26(f19(f20(c31,c35)),f19(f20(c31,X1)))|p26(f19(f20(c31,c32)),f19(f20(c31,X1)))|~p25(X1,f18(f8(c27,f9(c28,c29)))))).
% 0.19/0.51  cnf(i_0_86, negated_conjecture, (p7(f9(X1,X2),f9(X3,X4))|~p6(X2,X4)|~p6(X1,X3))).
% 0.19/0.51  cnf(i_0_88, negated_conjecture, (p4(f16(X1,X2),f16(X3,X4))|~p2(X1,X3)|~p4(X2,X4))).
% 0.19/0.51  cnf(i_0_84, negated_conjecture, (p24(X1,X2)|~p24(X3,X4)|~p4(X4,X2)|~p4(X3,X1))).
% 0.19/0.51  cnf(i_0_90, negated_conjecture, (p4(f13(X1,X2),f13(X3,X4))|~p4(X2,X4)|~p4(X1,X3))).
% 0.19/0.51  cnf(i_0_82, negated_conjecture, (p26(X1,X2)|~p26(X3,X4)|~p4(X4,X2)|~p4(X3,X1))).
% 0.19/0.51  cnf(i_0_81, negated_conjecture, (p23(X1,X2)|~p23(X3,X4)|~p6(X4,X2)|~p6(X3,X1))).
% 0.19/0.51  cnf(i_0_83, negated_conjecture, (p25(X1,X2)|~p25(X3,X4)|~p4(X3,X1)|~p17(X4,X2))).
% 0.19/0.51  cnf(i_0_87, negated_conjecture, (p4(f20(X1,X2),f20(X3,X4))|~p4(X2,X4)|~p4(X1,X3))).
% 0.19/0.51  cnf(i_0_89, negated_conjecture, (p4(f14(X1,X2),f14(X3,X4))|~p4(X2,X4)|~p4(X1,X3))).
% 0.19/0.51  cnf(i_0_85, negated_conjecture, (p2(f8(X1,X2),f8(X3,X4))|~p6(X1,X3)|~p7(X2,X4))).
% 0.19/0.51  cnf(i_0_98, negated_conjecture, (p25(f22(X1,X2,X3),f18(X1))|p4(f5(X1,c36,X2),f5(X1,c36,X3))|p6(f21(X1),f10(c33)))).
% 0.19/0.51  cnf(i_0_96, negated_conjecture, (p4(f5(X1,X2,X3),f5(X4,X5,X6))|~p2(X1,X4)|~p3(X2,X5)|~p4(X3,X6))).
% 0.19/0.51  cnf(i_0_97, negated_conjecture, (p4(f22(X1,X2,X3),f22(X4,X5,X6))|~p2(X1,X4)|~p4(X3,X6)|~p4(X2,X5))).
% 0.19/0.51  cnf(i_0_99, negated_conjecture, (p4(f5(X1,c36,X2),f5(X1,c36,X3))|p6(f21(X1),f10(c33))|~p24(f19(f20(X2,X3)),f19(f20(X2,f22(X1,X2,X3)))))).
% 0.19/0.51  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.51  # Begin printing tableau
% 0.19/0.51  # Found 10 steps
% 0.19/0.51  cnf(i_0_85, negated_conjecture, (p2(f8(f21(f8(X27,f9(X26,X28))),X25),f8(X26,X25))|~p6(f21(f8(X27,f9(X26,X28))),X26)|~p7(X25,X25)), inference(start_rule)).
% 0.19/0.51  cnf(i_0_116, plain, (~p6(f21(f8(X27,f9(X26,X28))),X26)), inference(closure_rule, [i_0_65])).
% 0.19/0.51  cnf(i_0_117, plain, (~p7(X25,X25)), inference(closure_rule, [i_0_52])).
% 0.19/0.51  cnf(i_0_115, plain, (p2(f8(f21(f8(X27,f9(X26,X28))),X25),f8(X26,X25))), inference(extension_rule, [i_0_97])).
% 0.19/0.51  cnf(i_0_214, plain, (~p4(f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c31))), inference(closure_rule, [i_0_92])).
% 0.19/0.51  cnf(i_0_215, plain, (~p4(f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c31))), inference(closure_rule, [i_0_92])).
% 0.19/0.51  cnf(i_0_212, plain, (p4(f22(f8(f21(f8(X27,f9(X26,X28))),X25),f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c34)),f22(f8(X26,X25),f16(f8(c27,f9(c28,c29)),c31),f16(f8(c27,f9(c28,c29)),c31)))), inference(extension_rule, [i_0_96])).
% 0.19/0.51  cnf(i_0_220, plain, (~p2(X7,X7)), inference(closure_rule, [i_0_56])).
% 0.19/0.51  cnf(i_0_221, plain, (~p3(X8,X8)), inference(closure_rule, [i_0_55])).
% 0.19/0.51  cnf(i_0_219, plain, (p4(f5(X7,X8,f22(f8(f21(f8(X27,f9(X26,X28))),X25),f16(f8(c27,f9(c28,c29)),c34),f16(f8(c27,f9(c28,c29)),c34))),f5(X7,X8,f22(f8(X26,X25),f16(f8(c27,f9(c28,c29)),c31),f16(f8(c27,f9(c28,c29)),c31))))), inference(etableau_closure_rule, [i_0_219, ...])).
% 0.19/0.51  # End printing tableau
% 0.19/0.51  # SZS output end
% 0.19/0.51  # Branches closed with saturation will be marked with an "s"
% 0.19/0.51  # Child (12386) has found a proof.
% 0.19/0.51  
% 0.19/0.51  # Proof search is over...
% 0.19/0.51  # Freeing feature tree
%------------------------------------------------------------------------------