TSTP Solution File: SWV262-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV262-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 05:22:04 EDT 2024

% Result   : Unsatisfiable 0.66s 0.72s
% Output   : CNFRefutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (  29 unt;   0 nHn;   8 RR)
%            Number of literals    :   29 (  28 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;   9 con; 0-3 aty)
%            Number of variables   :   36 (  13 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_List_Oset__empty2_1,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty2_1) ).

cnf(cls_SetInterval_OlessThan__0_0,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_SetInterval_OlessThan__0_0) ).

cnf(cls_List_Oset__empty_1,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_List_Oset__empty_1) ).

cnf(cls_Set_OCompl__UNIV__eq_0,axiom,
    c_uminus(c_UNIV,tc_set(X1)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_OCompl__UNIV__eq_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Set_ODiff__cancel_0,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Set_ODiff__cancel_0) ).

cnf(cls_Message_Oparts__insert_0,axiom,
    c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(X2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__insert_0) ).

cnf(cls_Datatype_Oo2s_Osimps__2_0,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2) = c_insert(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Datatype_Oo2s_Osimps__2_0) ).

cnf(cls_Set_OUn__assoc_0,axiom,
    c_union(c_union(X1,X2,X3),X4,X3) = c_union(X1,c_union(X2,X4,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__assoc_0) ).

cnf(c_0_9,axiom,
    c_emptyset = c_List_Oset(c_List_Olist_ONil,X1),
    cls_List_Oset__empty2_1 ).

cnf(c_0_10,axiom,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_emptyset,
    cls_SetInterval_OlessThan__0_0 ).

cnf(c_0_11,axiom,
    c_List_Oset(c_List_Olist_ONil,X1) = c_emptyset,
    cls_List_Oset__empty_1 ).

cnf(c_0_12,plain,
    c_SetInterval_OlessThan(c_0,tc_nat) = c_List_Oset(c_List_Olist_ONil,X1),
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,axiom,
    c_uminus(c_UNIV,tc_set(X1)) = c_emptyset,
    cls_Set_OCompl__UNIV__eq_0 ).

cnf(c_0_14,plain,
    c_List_Oset(c_List_Olist_ONil,X1) = c_List_Oset(c_List_Olist_ONil,c_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_12]) ).

cnf(c_0_15,plain,
    c_uminus(c_UNIV,tc_set(X1)) = c_List_Oset(c_List_Olist_ONil,c_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_10]),c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_17,axiom,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    cls_Set_ODiff__cancel_0 ).

cnf(c_0_18,plain,
    c_List_Oset(c_List_Olist_ONil,X1) = c_uminus(c_UNIV,tc_set(c_0)),
    inference(rw,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
    c_0_16 ).

cnf(c_0_20,axiom,
    c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X1,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(X2),tc_Message_Omsg),
    cls_Message_Oparts__insert_0 ).

cnf(c_0_21,plain,
    c_minus(X1,X1,tc_set(X2)) = c_uminus(c_UNIV,tc_set(c_0)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_10]),c_0_12]),c_0_18]) ).

cnf(c_0_22,axiom,
    c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2) = c_insert(X1,c_emptyset,X2),
    cls_Datatype_Oo2s_Osimps__2_0 ).

cnf(c_0_23,negated_conjecture,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_SetInterval_OlessThan(c_0,tc_nat),tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_SetInterval_OlessThan(c_0,tc_nat),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_10]),c_0_10]) ).

cnf(c_0_24,plain,
    c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)) = c_union(c_Message_Oparts(c_insert(X1,c_minus(c_0,c_0,tc_set(c_0)),tc_Message_Omsg)),c_Message_Oparts(X2),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_10]),c_0_12]),c_0_18]),c_0_21]) ).

cnf(c_0_25,plain,
    c_insert(X1,c_minus(c_0,c_0,tc_set(c_0)),X2) = c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X1,X2),X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_10]),c_0_12]),c_0_18]),c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    c_union(c_union(c_Message_Oparts(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_X,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_Y,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_union(c_Message_Oparts(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_X,tc_Message_Omsg),tc_Message_Omsg)),c_union(c_Message_Oparts(c_Datatype_Oo2s(c_Datatype_Ooption_OSome(v_Y,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),tc_Message_Omsg),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24]),c_0_24]),c_0_12]),c_0_18]),c_0_21]),c_0_12]),c_0_18]),c_0_21]),c_0_25]),c_0_25]),c_0_25]),c_0_25]) ).

cnf(c_0_27,axiom,
    c_union(c_union(X1,X2,X3),X4,X3) = c_union(X1,c_union(X2,X4,X3),X3),
    cls_Set_OUn__assoc_0 ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SWV262-1 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 07:54:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 0.66/0.72  # Version: 3.1.0
% 0.66/0.72  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.66/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.72  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.66/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.66/0.72  # Starting sh5l with 300s (1) cores
% 0.66/0.72  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1699 completed with status 0
% 0.66/0.72  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.66/0.72  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.66/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.72  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.72  # No SInE strategy applied
% 0.66/0.72  # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.66/0.72  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.66/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.66/0.72  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.66/0.72  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.66/0.72  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.66/0.72  # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 0.66/0.72  # G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 1710 completed with status 0
% 0.66/0.72  # Result found by G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.66/0.72  # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.66/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.66/0.72  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.66/0.72  # No SInE strategy applied
% 0.66/0.72  # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.66/0.72  # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.66/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.66/0.72  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.66/0.72  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.66/0.72  # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.66/0.72  # Preprocessing time       : 0.027 s
% 0.66/0.72  # Presaturation interreduction done
% 0.66/0.72  
% 0.66/0.72  # Proof found!
% 0.66/0.72  # SZS status Unsatisfiable
% 0.66/0.72  # SZS output start CNFRefutation
% See solution above
% 0.66/0.72  # Parsed axioms                        : 2775
% 0.66/0.72  # Removed by relevancy pruning/SinE    : 0
% 0.66/0.72  # Initial clauses                      : 2775
% 0.66/0.72  # Removed in clause preprocessing      : 9
% 0.66/0.72  # Initial clauses in saturation        : 2766
% 0.66/0.72  # Processed clauses                    : 1896
% 0.66/0.72  # ...of these trivial                  : 20
% 0.66/0.72  # ...subsumed                          : 56
% 0.66/0.72  # ...remaining for further processing  : 1820
% 0.66/0.72  # Other redundant clauses eliminated   : 0
% 0.66/0.72  # Clauses deleted for lack of memory   : 0
% 0.66/0.72  # Backward-subsumed                    : 3
% 0.66/0.72  # Backward-rewritten                   : 133
% 0.66/0.72  # Generated clauses                    : 0
% 0.66/0.72  # ...of the previous two non-redundant : 122
% 0.66/0.72  # ...aggressively subsumed             : 0
% 0.66/0.72  # Contextual simplify-reflections      : 0
% 0.66/0.72  # Paramodulations                      : 0
% 0.66/0.72  # Factorizations                       : 0
% 0.66/0.72  # NegExts                              : 0
% 0.66/0.72  # Equation resolutions                 : 0
% 0.66/0.72  # Disequality decompositions           : 0
% 0.66/0.72  # Total rewrite steps                  : 553
% 0.66/0.72  # ...of those cached                   : 485
% 0.66/0.72  # Propositional unsat checks           : 0
% 0.66/0.72  #    Propositional check models        : 0
% 0.66/0.72  #    Propositional check unsatisfiable : 0
% 0.66/0.72  #    Propositional clauses             : 0
% 0.66/0.72  #    Propositional clauses after purity: 0
% 0.66/0.72  #    Propositional unsat core size     : 0
% 0.66/0.72  #    Propositional preprocessing time  : 0.000
% 0.66/0.72  #    Propositional encoding time       : 0.000
% 0.66/0.72  #    Propositional solver time         : 0.000
% 0.66/0.72  #    Success case prop preproc time    : 0.000
% 0.66/0.72  #    Success case prop encoding time   : 0.000
% 0.66/0.72  #    Success case prop solver time     : 0.000
% 0.66/0.72  # Current number of processed clauses  : 1684
% 0.66/0.72  #    Positive orientable unit clauses  : 382
% 0.66/0.72  #    Positive unorientable unit clauses: 8
% 0.66/0.72  #    Negative unit clauses             : 32
% 0.66/0.72  #    Non-unit-clauses                  : 1262
% 0.66/0.72  # Current number of unprocessed clauses: 992
% 0.66/0.72  # ...number of literals in the above   : 2813
% 0.66/0.72  # Current number of archived formulas  : 0
% 0.66/0.72  # Current number of archived clauses   : 144
% 0.66/0.72  # Clause-clause subsumption calls (NU) : 557063
% 0.66/0.72  # Rec. Clause-clause subsumption calls : 491642
% 0.66/0.72  # Non-unit clause-clause subsumptions  : 38
% 0.66/0.72  # Unit Clause-clause subsumption calls : 31035
% 0.66/0.72  # Rewrite failures with RHS unbound    : 0
% 0.66/0.72  # BW rewrite match attempts            : 156
% 0.66/0.72  # BW rewrite match successes           : 37
% 0.66/0.72  # Condensation attempts                : 0
% 0.66/0.72  # Condensation successes               : 0
% 0.66/0.72  # Termbank termtop insertions          : 73471
% 0.66/0.72  # Search garbage collected termcells   : 4018
% 0.66/0.72  
% 0.66/0.72  # -------------------------------------------------
% 0.66/0.72  # User time                : 0.165 s
% 0.66/0.72  # System time              : 0.017 s
% 0.66/0.72  # Total time               : 0.182 s
% 0.66/0.72  # Maximum resident set size: 6740 pages
% 0.66/0.72  
% 0.66/0.72  # -------------------------------------------------
% 0.66/0.72  # User time                : 0.667 s
% 0.66/0.72  # System time              : 0.062 s
% 0.66/0.72  # Total time               : 0.729 s
% 0.66/0.72  # Maximum resident set size: 3480 pages
% 0.66/0.72  % E---3.1 exiting
% 0.66/0.72  % E exiting
%------------------------------------------------------------------------------