TSTP Solution File: SYN584-1 by Etableau---0.67

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Etableau---0.67
% Problem  : SYN584-1 : 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 : n018.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 06:12:37 EDT 2022

% Result   : Unsatisfiable 0.19s 0.44s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SYN584-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12  % Command  : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 16:23:29 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.43  # No SInE strategy applied
% 0.19/0.43  # Auto-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.19/0.43  # and selection function PSelectComplexExceptUniqMaxHorn.
% 0.19/0.43  #
% 0.19/0.43  # Number of axioms: 25 Number of unprocessed: 25
% 0.19/0.43  # Tableaux proof search.
% 0.19/0.43  # APR header successfully linked.
% 0.19/0.43  # Hello from C++
% 0.19/0.43  # The folding up rule is enabled...
% 0.19/0.43  # Local unification is enabled...
% 0.19/0.43  # Any saturation attempts will use folding labels...
% 0.19/0.43  # 25 beginning clauses after preprocessing and clausification
% 0.19/0.43  # Creating start rules for all 25 conjectures.
% 0.19/0.43  # There are 25 start rule candidates:
% 0.19/0.43  # Found 9 unit axioms.
% 0.19/0.43  # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.19/0.43  # 25 start rule tableaux created.
% 0.19/0.43  # 16 extension rule candidate clauses
% 0.19/0.43  # 9 unit axiom clauses
% 0.19/0.43  
% 0.19/0.43  # Requested 8, 32 cores available to the main process.
% 0.19/0.44  # There were 2 total branch saturation attempts.
% 0.19/0.44  # There were 0 of these attempts blocked.
% 0.19/0.44  # There were 0 deferred branch saturation attempts.
% 0.19/0.44  # There were 0 free duplicated saturations.
% 0.19/0.44  # There were 2 total successful branch saturations.
% 0.19/0.44  # There were 1 successful branch saturations in interreduction.
% 0.19/0.44  # There were 0 successful branch saturations on the branch.
% 0.19/0.44  # There were 1 successful branch saturations after the branch.
% 0.19/0.44  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44  # Begin clausification derivation
% 0.19/0.44  
% 0.19/0.44  # End clausification derivation
% 0.19/0.44  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.44  cnf(i_0_26, negated_conjecture, (p12(X1,X1))).
% 0.19/0.44  cnf(i_0_27, negated_conjecture, (p6(X1,X1))).
% 0.19/0.44  cnf(i_0_28, negated_conjecture, (p5(X1,X1))).
% 0.19/0.44  cnf(i_0_29, negated_conjecture, (p3(X1,X1))).
% 0.19/0.44  cnf(i_0_30, negated_conjecture, (p2(X1,X1))).
% 0.19/0.44  cnf(i_0_31, negated_conjecture, (p5(f11(X1),f11(X2))|~p5(X1,X2))).
% 0.19/0.44  cnf(i_0_33, negated_conjecture, (p5(f10(X1),f10(X2))|~p5(X1,X2))).
% 0.19/0.44  cnf(i_0_32, negated_conjecture, (p3(f4(X1),f4(X2))|~p2(X1,X2))).
% 0.19/0.44  cnf(i_0_34, negated_conjecture, (p12(X1,X2)|~p12(X3,X2)|~p12(X3,X1))).
% 0.19/0.44  cnf(i_0_35, negated_conjecture, (p6(X1,X2)|~p6(X3,X2)|~p6(X3,X1))).
% 0.19/0.44  cnf(i_0_36, negated_conjecture, (p5(X1,X2)|~p5(X3,X2)|~p5(X3,X1))).
% 0.19/0.44  cnf(i_0_37, negated_conjecture, (p3(X1,X2)|~p3(X3,X2)|~p3(X3,X1))).
% 0.19/0.44  cnf(i_0_38, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.44  cnf(i_0_39, negated_conjecture, (p16(X1,X2)|~p12(X4,X1)|~p12(X3,X2)|~p16(X4,X3))).
% 0.19/0.44  cnf(i_0_40, negated_conjecture, (p15(X1,X2)|~p12(X3,X1)|~p3(X4,X2)|~p15(X3,X4))).
% 0.19/0.44  cnf(i_0_41, negated_conjecture, (p12(f13(X1,X2),f13(X3,X4))|~p12(X2,X4)|~p12(X1,X3))).
% 0.19/0.44  cnf(i_0_45, negated_conjecture, (p12(f14(X1,X2),f14(X3,X4))|~p12(X2,X4)|~p2(X1,X3))).
% 0.19/0.44  cnf(i_0_42, negated_conjecture, (p6(f8(X1,X2),f8(X3,X4))|~p5(X2,X4)|~p5(X1,X3))).
% 0.19/0.44  cnf(i_0_43, negated_conjecture, (p5(f9(X1,X2),f9(X3,X4))|~p5(X2,X4)|~p5(X1,X3))).
% 0.19/0.44  cnf(i_0_44, negated_conjecture, (p2(f7(X1,X2),f7(X3,X4))|~p6(X2,X4)|~p5(X1,X3))).
% 0.19/0.44  cnf(i_0_46, negated_conjecture, (p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.44  cnf(i_0_47, negated_conjecture, (p15(c17,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.44  cnf(i_0_49, negated_conjecture, (~p16(X1,c17)|~p16(c22,X1)|~p15(X1,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.44  cnf(i_0_48, negated_conjecture, (p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22))).
% 0.19/0.44  cnf(i_0_50, negated_conjecture, (~p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.44  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.44  # Begin printing tableau
% 0.19/0.44  # Found 8 steps
% 0.19/0.44  cnf(i_0_50, negated_conjecture, (~p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(start_rule)).
% 0.19/0.44  cnf(i_0_51, plain, (~p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(extension_rule, [i_0_40])).
% 0.19/0.44  cnf(i_0_126, plain, (~p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))), inference(closure_rule, [i_0_26])).
% 0.19/0.44  cnf(i_0_128, plain, (~p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(extension_rule, [i_0_40])).
% 0.19/0.44  cnf(i_0_174, plain, (~p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(closure_rule, [i_0_29])).
% 0.19/0.44  cnf(i_0_175, plain, (~p15(c17,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(closure_rule, [i_0_47])).
% 0.19/0.44  cnf(i_0_127, plain, (~p3(f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20)))))))), inference(etableau_closure_rule, [i_0_127, ...])).
% 0.19/0.44  cnf(i_0_173, plain, (~p12(c17,f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)))), inference(etableau_closure_rule, [i_0_173, ...])).
% 0.19/0.44  # End printing tableau
% 0.19/0.44  # SZS output end
% 0.19/0.44  # Branches closed with saturation will be marked with an "s"
% 0.19/0.45  # There were 1 total branch saturation attempts.
% 0.19/0.45  # There were 0 of these attempts blocked.
% 0.19/0.45  # There were 0 deferred branch saturation attempts.
% 0.19/0.45  # There were 0 free duplicated saturations.
% 0.19/0.45  # There were 1 total successful branch saturations.
% 0.19/0.45  # There were 0 successful branch saturations in interreduction.
% 0.19/0.45  # There were 0 successful branch saturations on the branch.
% 0.19/0.45  # There were 1 successful branch saturations after the branch.
% 0.19/0.45  # SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Begin clausification derivation
% 0.19/0.45  
% 0.19/0.45  # End clausification derivation
% 0.19/0.45  # Begin listing active clauses obtained from FOF to CNF conversion
% 0.19/0.45  cnf(i_0_26, negated_conjecture, (p12(X1,X1))).
% 0.19/0.45  cnf(i_0_27, negated_conjecture, (p6(X1,X1))).
% 0.19/0.45  cnf(i_0_28, negated_conjecture, (p5(X1,X1))).
% 0.19/0.45  cnf(i_0_29, negated_conjecture, (p3(X1,X1))).
% 0.19/0.45  cnf(i_0_30, negated_conjecture, (p2(X1,X1))).
% 0.19/0.45  cnf(i_0_31, negated_conjecture, (p5(f11(X1),f11(X2))|~p5(X1,X2))).
% 0.19/0.45  cnf(i_0_33, negated_conjecture, (p5(f10(X1),f10(X2))|~p5(X1,X2))).
% 0.19/0.45  cnf(i_0_32, negated_conjecture, (p3(f4(X1),f4(X2))|~p2(X1,X2))).
% 0.19/0.45  cnf(i_0_34, negated_conjecture, (p12(X1,X2)|~p12(X3,X2)|~p12(X3,X1))).
% 0.19/0.45  cnf(i_0_35, negated_conjecture, (p6(X1,X2)|~p6(X3,X2)|~p6(X3,X1))).
% 0.19/0.45  cnf(i_0_36, negated_conjecture, (p5(X1,X2)|~p5(X3,X2)|~p5(X3,X1))).
% 0.19/0.45  cnf(i_0_37, negated_conjecture, (p3(X1,X2)|~p3(X3,X2)|~p3(X3,X1))).
% 0.19/0.45  cnf(i_0_38, negated_conjecture, (p2(X1,X2)|~p2(X3,X2)|~p2(X3,X1))).
% 0.19/0.45  cnf(i_0_39, negated_conjecture, (p16(X1,X2)|~p12(X4,X1)|~p12(X3,X2)|~p16(X4,X3))).
% 0.19/0.45  cnf(i_0_40, negated_conjecture, (p15(X1,X2)|~p12(X3,X1)|~p3(X4,X2)|~p15(X3,X4))).
% 0.19/0.45  cnf(i_0_41, negated_conjecture, (p12(f13(X1,X2),f13(X3,X4))|~p12(X2,X4)|~p12(X1,X3))).
% 0.19/0.45  cnf(i_0_45, negated_conjecture, (p12(f14(X1,X2),f14(X3,X4))|~p12(X2,X4)|~p2(X1,X3))).
% 0.19/0.45  cnf(i_0_42, negated_conjecture, (p6(f8(X1,X2),f8(X3,X4))|~p5(X2,X4)|~p5(X1,X3))).
% 0.19/0.45  cnf(i_0_43, negated_conjecture, (p5(f9(X1,X2),f9(X3,X4))|~p5(X2,X4)|~p5(X1,X3))).
% 0.19/0.45  cnf(i_0_44, negated_conjecture, (p2(f7(X1,X2),f7(X3,X4))|~p6(X2,X4)|~p5(X1,X3))).
% 0.19/0.45  cnf(i_0_46, negated_conjecture, (p15(c22,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.45  cnf(i_0_47, negated_conjecture, (p15(c17,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.45  cnf(i_0_49, negated_conjecture, (~p16(X1,c17)|~p16(c22,X1)|~p15(X1,f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.45  cnf(i_0_48, negated_conjecture, (p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22))).
% 0.19/0.45  cnf(i_0_50, negated_conjecture, (~p15(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),f4(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))))))).
% 0.19/0.45  # End listing active clauses.  There is an equivalent clause to each of these in the clausification!
% 0.19/0.45  # Begin printing tableau
% 0.19/0.45  # Found 8 steps
% 0.19/0.45  cnf(i_0_42, negated_conjecture, (p6(f8(X15,X16),f8(X15,X16))|~p5(X16,X16)|~p5(X15,X15)), inference(start_rule)).
% 0.19/0.45  cnf(i_0_65, plain, (~p5(X16,X16)), inference(closure_rule, [i_0_28])).
% 0.19/0.45  cnf(i_0_66, plain, (~p5(X15,X15)), inference(closure_rule, [i_0_28])).
% 0.19/0.45  cnf(i_0_64, plain, (p6(f8(X15,X16),f8(X15,X16))), inference(extension_rule, [i_0_44])).
% 0.19/0.45  cnf(i_0_112, plain, (~p5(X17,X17)), inference(closure_rule, [i_0_28])).
% 0.19/0.45  cnf(i_0_110, plain, (p2(f7(X17,f8(X15,X16)),f7(X17,f8(X15,X16)))), inference(extension_rule, [i_0_45])).
% 0.19/0.45  cnf(i_0_123, plain, (~p12(f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17)),c22)), inference(closure_rule, [i_0_48])).
% 0.19/0.45  cnf(i_0_122, plain, (p12(f14(f7(X17,f8(X15,X16)),f13(c17,f14(f7(c18,f8(f9(c19,f10(f11(c20))),f9(c21,f10(f11(c20))))),c17))),f14(f7(X17,f8(X15,X16)),c22))), inference(etableau_closure_rule, [i_0_122, ...])).
% 0.19/0.45  # End printing tableau
% 0.19/0.45  # SZS output end
% 0.19/0.45  # Branches closed with saturation will be marked with an "s"
% 0.19/0.45  # There were 1 total branch saturation attempts.
% 0.19/0.45  # There were 0 of these attempts blocked.
% 0.19/0.45  # There were 0 deferred branch saturation attempts.
% 0.19/0.45  # There were 0 free duplicated saturations.
% 0.19/0.45  # There were 1 total successful branch saturations.
% 0.19/0.45  # There were 0 successful branch saturations in interreduction.
% 0.19/0.45  # There were 0 successful branch saturations on the branch.
% 0.19/0.45  # There were 1 successful branch saturations after the branch.
% 0.19/0.45  # Child (536) has found a proof.
% 0.19/0.45  
% 0.19/0.45  # Proof search is over...
% 0.19/0.45  # Freeing feature tree
%------------------------------------------------------------------------------