TSTP Solution File: PUZ049-10 by Etableau---0.67
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : PUZ049-10 : TPTP v8.1.0. Released v7.5.0.
% 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 : n024.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 : Mon Jul 18 18:11:03 EDT 2022
% Result : Satisfiable 7.96s 1.38s
% Output : CNFRefutation 7.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ049-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.14/0.33 % Computer : n024.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sun May 29 01:44:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.37 # No SInE strategy applied
% 0.14/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.37 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.14/0.37 #
% 0.14/0.37 # Presaturation interreduction done
% 0.14/0.37 # Number of axioms: 44 Number of unprocessed: 44
% 0.14/0.37 # Tableaux proof search.
% 0.14/0.37 # APR header successfully linked.
% 0.14/0.37 # Hello from C++
% 0.20/0.39 # The folding up rule is enabled...
% 0.20/0.39 # Local unification is enabled...
% 0.20/0.39 # Any saturation attempts will use folding labels...
% 0.20/0.39 # 44 beginning clauses after preprocessing and clausification
% 0.20/0.39 # Creating start rules for all 1 conjectures.
% 0.20/0.39 # There are 1 start rule candidates:
% 0.20/0.39 # Found 44 unit axioms.
% 0.20/0.39 # 1 start rule tableaux created.
% 0.20/0.39 # 0 extension rule candidate clauses
% 0.20/0.39 # 44 unit axiom clauses
% 0.20/0.39
% 0.20/0.39 # Requested 8, 32 cores available to the main process.
% 0.20/0.39 # There are not enough tableaux to fork, creating more from the initial 1
% 0.20/0.39 # Creating equality axioms
% 0.20/0.39 # Ran out of tableaux, making start rules for all clauses
% 0.20/0.39 # Returning from population with 86 new_tableaux and 0 remaining starting tableaux.
% 0.20/0.39 # We now have 86 tableaux to operate on
% 7.73/1.35 # 21555 Satisfiable branch
% 7.73/1.35 # 21552 Satisfiable branch
% 7.73/1.36 # 21549 Satisfiable branch
% 7.73/1.36 # 21551 Satisfiable branch
% 7.73/1.36 # 21554 Satisfiable branch
% 7.73/1.36 # 21548 Satisfiable branch
% 7.73/1.37 # 21550 Satisfiable branch
% 7.96/1.38 # Satisfiable branch found.
% 7.96/1.38 # There were 1 total branch saturation attempts.
% 7.96/1.38 # There were 0 of these attempts blocked.
% 7.96/1.38 # There were 0 deferred branch saturation attempts.
% 7.96/1.38 # There were 0 free duplicated saturations.
% 7.96/1.38 # There were 0 total successful branch saturations.
% 7.96/1.38 # There were 0 successful branch saturations in interreduction.
% 7.96/1.38 # There were 0 successful branch saturations on the branch.
% 7.96/1.38 # There were 0 successful branch saturations after the branch.
% 7.96/1.38 # SZS status Satisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.96/1.38 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.96/1.38 # Begin clausification derivation
% 7.96/1.38
% 7.96/1.38 # End clausification derivation
% 7.96/1.38 # Begin listing active clauses obtained from FOF to CNF conversion
% 7.96/1.38 cnf(i_0_45, plain, (ifeq(X1,X1,X2,X3)=X2)).
% 7.96/1.38 cnf(i_0_87, hypothesis, (state(bb(s(s(o)),s(s(o))),v1(o,o),v2(o,s(o)),v3(o,s(s(o))),v4(o,s(s(s(o)))),h(s(s(s(s(o)))),o),s1(s(s(o)),o),s2(s(s(o)),s(o)),s3(s(s(o)),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),s(s(s(o)))))=true)).
% 7.96/1.38 cnf(i_0_86, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X11,X12),e2(X13,X14)),true,state(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X13,X14),e2(X11,X12)),true)=true)).
% 7.96/1.38 cnf(i_0_58, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12),true)=true)).
% 7.96/1.38 cnf(i_0_60, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(s(X10),X11),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(s(X10),X11),e1(X10,X11),X12),true)=true)).
% 7.96/1.38 cnf(i_0_59, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,s(X11)),e1(X10,X11),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(X10,s(X11)),X12),true)=true)).
% 7.96/1.38 cnf(i_0_61, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(s(X10),X11),e1(X10,X11),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,X9,s4(X10,X11),e1(s(X10),X11),X12),true)=true)).
% 7.96/1.38 cnf(i_0_54, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12),true)=true)).
% 7.96/1.38 cnf(i_0_56, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12),true)=true)).
% 7.96/1.38 cnf(i_0_55, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,s(X10)),X11,e1(X9,X10),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(X9,s(X10)),X12),true)=true)).
% 7.96/1.38 cnf(i_0_57, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,X8,s3(s(X9),X10),X11,e1(X9,X10),X12),true,state(X1,X2,X3,X4,X5,X6,X7,X8,s3(X9,X10),X11,e1(s(X9),X10),X12),true)=true)).
% 7.96/1.38 cnf(i_0_50, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(X8,s(X9)),X12),true,state(X1,X2,X3,X4,X5,X6,X7,s2(X8,s(X9)),X10,X11,e1(X8,X9),X12),true)=true)).
% 7.96/1.38 cnf(i_0_52, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12),true,state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12),true)=true)).
% 7.96/1.38 cnf(i_0_51, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,s2(X8,s(X9)),X10,X11,e1(X8,X9),X12),true,state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(X8,s(X9)),X12),true)=true)).
% 7.96/1.38 cnf(i_0_53, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,X7,s2(s(X8),X9),X10,X11,e1(X8,X9),X12),true,state(X1,X2,X3,X4,X5,X6,X7,s2(X8,X9),X10,X11,e1(s(X8),X9),X12),true)=true)).
% 7.96/1.38 cnf(i_0_46, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12),true,state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12),true)=true)).
% 7.96/1.38 cnf(i_0_48, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12),true,state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12),true)=true)).
% 7.96/1.38 cnf(i_0_47, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,s1(X7,s(X8)),X9,X10,X11,e1(X7,X8),X12),true,state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(X7,s(X8)),X12),true)=true)).
% 7.96/1.38 cnf(i_0_49, plain, (ifeq(state(X1,X2,X3,X4,X5,X6,s1(s(X7),X8),X9,X10,X11,e1(X7,X8),X12),true,state(X1,X2,X3,X4,X5,X6,s1(X7,X8),X9,X10,X11,e1(s(X7),X8),X12),true)=true)).
% 7.96/1.38 cnf(i_0_79, plain, (ifeq(state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12),true,state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12),true)=true)).
% 7.96/1.38 cnf(i_0_77, plain, (ifeq(state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12),true,state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12),true)=true)).
% 7.96/1.38 cnf(i_0_73, plain, (ifeq(state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12),true,state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12),true)=true)).
% 7.96/1.38 cnf(i_0_69, plain, (ifeq(state(X1,X2,v2(s(X3),X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),X12),true,state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(s(s(X3)),X4),X12),true)=true)).
% 7.96/1.38 cnf(i_0_65, plain, (ifeq(state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12),true,state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12),true)=true)).
% 7.96/1.38 cnf(i_0_78, plain, (ifeq(state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(X6,s(s(X7))),X12),true,state(X1,X2,X3,X4,X5,h(X6,s(X7)),X8,X9,X10,X11,e1(X6,X7),X12),true)=true)).
% 7.96/1.38 cnf(i_0_76, plain, (ifeq(state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(s(s(X5)),X6),X12),true,state(X1,X2,X3,X4,v4(s(X5),X6),X7,X8,X9,X10,X11,e1(X5,X6),X12),true)=true)).
% 7.96/1.38 cnf(i_0_72, plain, (ifeq(state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(s(s(X4)),X5),X12),true,state(X1,X2,X3,v3(s(X4),X5),X6,X7,X8,X9,X10,X11,e1(X4,X5),X12),true)=true)).
% 7.96/1.38 cnf(i_0_68, plain, (ifeq(state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(s(s(X3)),X4),X12),true,state(X1,X2,v2(s(X3),X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),X12),true)=true)).
% 7.96/1.38 cnf(i_0_64, plain, (ifeq(state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X2)),X3),X12),true,state(X1,v1(s(X2),X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),X12),true)=true)).
% 7.96/1.38 cnf(i_0_81, plain, (ifeq(state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))),true,state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7))),true)=true)).
% 7.96/1.38 cnf(i_0_75, plain, (ifeq(state(X1,X2,X3,X4,v4(X5,s(X6)),X7,X8,X9,X10,X11,e1(X5,X6),e2(s(X5),X6)),true,state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(X5,s(X6)),e2(s(X5),s(X6))),true)=true)).
% 7.96/1.38 cnf(i_0_71, plain, (ifeq(state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)),true,state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5))),true)=true)).
% 7.96/1.38 cnf(i_0_67, plain, (ifeq(state(X1,X2,v2(X3,s(X4)),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),e2(s(X3),X4)),true,state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,s(X4)),e2(s(X3),s(X4))),true)=true)).
% 7.96/1.38 cnf(i_0_83, plain, (ifeq(state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2)),true,state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))),true)=true)).
% 7.96/1.38 cnf(i_0_85, plain, (ifeq(state(bb(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(X1,s(X2))),true,state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X1)),X2),e2(s(s(X1)),s(X2))),true)=true)).
% 7.96/1.38 cnf(i_0_82, plain, (ifeq(state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,s(s(X2))),e2(s(X1),s(s(X2)))),true,state(bb(X1,s(X2)),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(s(X1),X2)),true)=true)).
% 7.96/1.38 cnf(i_0_84, plain, (ifeq(state(bb(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(s(s(X1)),X2),e2(s(s(X1)),s(X2))),true,state(bb(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,X11,e1(X1,X2),e2(X1,s(X2))),true)=true)).
% 7.96/1.38 cnf(i_0_63, plain, (ifeq(state(X1,v1(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),e2(s(X2),X3)),true,state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,s(X3)),e2(s(X2),s(X3))),true)=true)).
% 7.96/1.38 cnf(i_0_80, plain, (ifeq(state(X1,X2,X3,X4,X5,h(X6,X7),X8,X9,X10,X11,e1(s(X6),X7),e2(s(X6),s(X7))),true,state(X1,X2,X3,X4,X5,h(s(X6),X7),X8,X9,X10,X11,e1(X6,X7),e2(X6,s(X7))),true)=true)).
% 7.96/1.38 cnf(i_0_74, plain, (ifeq(state(X1,X2,X3,X4,v4(X5,X6),X7,X8,X9,X10,X11,e1(X5,s(X6)),e2(s(X5),s(X6))),true,state(X1,X2,X3,X4,v4(X5,s(X6)),X7,X8,X9,X10,X11,e1(X5,X6),e2(s(X5),X6)),true)=true)).
% 7.96/1.38 cnf(i_0_70, plain, (ifeq(state(X1,X2,X3,v3(X4,X5),X6,X7,X8,X9,X10,X11,e1(X4,s(X5)),e2(s(X4),s(X5))),true,state(X1,X2,X3,v3(X4,s(X5)),X6,X7,X8,X9,X10,X11,e1(X4,X5),e2(s(X4),X5)),true)=true)).
% 7.96/1.38 cnf(i_0_66, plain, (ifeq(state(X1,X2,v2(X3,X4),X5,X6,X7,X8,X9,X10,X11,e1(X3,s(X4)),e2(s(X3),s(X4))),true,state(X1,X2,v2(X3,s(X4)),X5,X6,X7,X8,X9,X10,X11,e1(X3,X4),e2(s(X3),X4)),true)=true)).
% 7.96/1.38 cnf(i_0_62, plain, (ifeq(state(X1,v1(X2,X3),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,s(X3)),e2(s(X2),s(X3))),true,state(X1,v1(X2,s(X3)),X4,X5,X6,X7,X8,X9,X10,X11,e1(X2,X3),e2(s(X2),X3)),true)=true)).
% 7.96/1.38 cnf(i_0_88, negated_conjecture, (state(bb(s(s(s(o))),s(o)),X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)!=true)).
% 7.96/1.38 cnf(i_0_90, plain, (X15=X15)).
% 7.96/1.38 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 7.96/1.38 # Begin printing tableau
% 7.96/1.38 # Found 5 steps
% 7.96/1.38 cnf(i_0_45, plain, (ifeq(X10,X10,X5,X8)=X5), inference(start_rule)).
% 7.96/1.38 cnf(i_0_109, plain, (ifeq(X10,X10,X5,X8)=X5), inference(extension_rule, [i_0_105])).
% 7.96/1.38 cnf(i_0_207, plain, (ifeq(X1,X1,X7,X3)!=X7), inference(closure_rule, [i_0_45])).
% 7.96/1.38 cnf(i_0_205, plain, (v3(ifeq(X10,X10,X5,X8),ifeq(X1,X1,X7,X3))=v3(X5,X7)), inference(extension_rule, [i_0_93])).
% 7.96/1.38 cnf(i_0_223, plain, (v3(X5,X7)!=ifeq(X1,X1,v3(X5,X7),X3)), inference(closure_rule, [i_0_45])).
% 7.96/1.38 # End printing tableau
% 7.96/1.38 # SZS output end
% 7.96/1.38 # Branches closed with saturation will be marked with an "s"
% 7.96/1.39 # Child (21555) has found a proof.
% 7.96/1.39
% 7.96/1.39 # Proof search is over...
% 7.96/1.39 # Freeing feature tree
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