TSTP Solution File: HWV022-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : HWV022-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat May  4 08:03:01 EDT 2024

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of clauses     :   60 (  26 unt;  13 nHn;  51 RR)
%            Number of literals    :  109 (  39 equ;  46 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-2 aty)
%            Number of variables   :   54 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_18,axiom,
    ( X1 = X2
    | plus(X1,n1) != plus(X2,n1) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_18) ).

cnf(axiom_8,axiom,
    ( gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_8) ).

cnf(axiom_35,axiom,
    ( p_Reset(X1)
    | p_Rd(X1)
    | int_level(plus(X1,n1)) = plus(int_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_35) ).

cnf(quest_1,negated_conjecture,
    plus(level(t_139),n1) = fifo_length,
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',quest_1) ).

cnf(axiom_21,axiom,
    level(X1) = int_level(X1),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_21) ).

cnf(axiom_19,axiom,
    plus(n0,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_19) ).

cnf(axiom_2,axiom,
    gt(plus(X1,n1),n0),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_2) ).

cnf(quest_2,negated_conjecture,
    ~ p_Rd(t_139),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',quest_2) ).

cnf(quest_4,negated_conjecture,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',quest_4) ).

cnf(axiom_5,axiom,
    ( minus(X1,X2) = X3
    | def_10(X2,X1)
    | plus(X3,X2) != X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_5) ).

cnf(axiom_15,axiom,
    ( X1 = n0
    | gt(X1,n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_15) ).

cnf(quest_5,negated_conjecture,
    level(plus(t_139,n1)) != fifo_length,
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',quest_5) ).

cnf(quest_3,negated_conjecture,
    p_Wr(t_139),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',quest_3) ).

cnf(axiom_6,axiom,
    ( ~ def_10(X1,X2)
    | ~ gt(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_6) ).

cnf(axiom_9,axiom,
    ( gt(X1,X2)
    | ~ gt(plus(X1,n1),plus(X2,n1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_9) ).

cnf(axiom_3,axiom,
    ( gt(X1,minus(X1,n1))
    | ~ gt(X1,n0) ),
    file('/export/starexec/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p',axiom_3) ).

cnf(c_0_16,plain,
    ( X1 = X2
    | plus(X1,n1) != plus(X2,n1) ),
    inference(fof_simplification,[status(thm)],[axiom_18]) ).

cnf(c_0_17,plain,
    ( gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(X1,X2) ),
    inference(fof_simplification,[status(thm)],[axiom_8]) ).

cnf(c_0_18,plain,
    ( p_Reset(X1)
    | p_Rd(X1)
    | int_level(plus(X1,n1)) = plus(int_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1)) ),
    inference(fof_simplification,[status(thm)],[axiom_35]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | plus(X1,n1) != plus(X2,n1) ),
    c_0_16 ).

cnf(c_0_20,negated_conjecture,
    plus(level(t_139),n1) = fifo_length,
    quest_1 ).

cnf(c_0_21,plain,
    ( gt(plus(X1,n1),plus(X2,n1))
    | ~ gt(X1,X2) ),
    c_0_17 ).

cnf(c_0_22,plain,
    ( p_Reset(X1)
    | p_Rd(X1)
    | int_level(plus(X1,n1)) = plus(int_level(X1),n1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,int_level(X1)) ),
    c_0_18 ).

cnf(c_0_23,axiom,
    level(X1) = int_level(X1),
    axiom_21 ).

cnf(c_0_24,negated_conjecture,
    ( X1 = level(t_139)
    | plus(X1,n1) != fifo_length ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,axiom,
    plus(n0,X1) = X1,
    axiom_19 ).

cnf(c_0_26,axiom,
    gt(plus(X1,n1),n0),
    axiom_2 ).

cnf(c_0_27,negated_conjecture,
    ~ p_Rd(t_139),
    inference(fof_simplification,[status(thm)],[quest_2]) ).

cnf(c_0_28,negated_conjecture,
    ~ p_Reset(t_139),
    inference(fof_simplification,[status(thm)],[quest_4]) ).

cnf(c_0_29,plain,
    ( minus(X1,X2) = X3
    | def_10(X2,X1)
    | plus(X3,X2) != X1 ),
    inference(fof_simplification,[status(thm)],[axiom_5]) ).

cnf(c_0_30,negated_conjecture,
    ( gt(fifo_length,plus(X1,n1))
    | ~ gt(level(t_139),X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_31,axiom,
    ( X1 = n0
    | gt(X1,n0) ),
    axiom_15 ).

cnf(c_0_32,negated_conjecture,
    level(plus(t_139,n1)) != fifo_length,
    inference(fof_simplification,[status(thm)],[quest_5]) ).

cnf(c_0_33,plain,
    ( level(plus(X1,n1)) = plus(level(X1),n1)
    | p_Reset(X1)
    | p_Rd(X1)
    | ~ p_Wr(X1)
    | ~ gt(fifo_length,level(X1)) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_23]) ).

cnf(c_0_34,negated_conjecture,
    ( level(t_139) = n0
    | fifo_length != n1 ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_35,negated_conjecture,
    p_Wr(t_139),
    quest_3 ).

cnf(c_0_36,negated_conjecture,
    gt(fifo_length,n0),
    inference(spm,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_37,negated_conjecture,
    ~ p_Rd(t_139),
    c_0_27 ).

cnf(c_0_38,negated_conjecture,
    ~ p_Reset(t_139),
    c_0_28 ).

cnf(c_0_39,plain,
    ( minus(X1,X2) = X3
    | def_10(X2,X1)
    | plus(X3,X2) != X1 ),
    c_0_29 ).

cnf(c_0_40,negated_conjecture,
    ( level(t_139) = n0
    | gt(fifo_length,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_25]) ).

cnf(c_0_41,negated_conjecture,
    level(plus(t_139,n1)) != fifo_length,
    c_0_32 ).

cnf(c_0_42,negated_conjecture,
    ( level(plus(t_139,n1)) = n1
    | fifo_length != n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_25]),c_0_35]),c_0_36])]),c_0_37]),c_0_38]) ).

cnf(c_0_43,plain,
    ( ~ def_10(X1,X2)
    | ~ gt(X2,X1) ),
    inference(fof_simplification,[status(thm)],[axiom_6]) ).

cnf(c_0_44,plain,
    ( minus(plus(X1,X2),X2) = X1
    | def_10(X2,plus(X1,X2)) ),
    inference(er,[status(thm)],[c_0_39]) ).

cnf(c_0_45,negated_conjecture,
    ( fifo_length = n1
    | gt(fifo_length,n1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_40]),c_0_25]) ).

cnf(c_0_46,negated_conjecture,
    fifo_length != n1,
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_47,plain,
    ( gt(X1,X2)
    | ~ gt(plus(X1,n1),plus(X2,n1)) ),
    inference(fof_simplification,[status(thm)],[axiom_9]) ).

cnf(c_0_48,plain,
    ( gt(X1,minus(X1,n1))
    | ~ gt(X1,n0) ),
    inference(fof_simplification,[status(thm)],[axiom_3]) ).

cnf(c_0_49,plain,
    ( ~ def_10(X1,X2)
    | ~ gt(X2,X1) ),
    c_0_43 ).

cnf(c_0_50,negated_conjecture,
    ( minus(fifo_length,n1) = level(t_139)
    | def_10(n1,fifo_length) ),
    inference(spm,[status(thm)],[c_0_44,c_0_20]) ).

cnf(c_0_51,negated_conjecture,
    gt(fifo_length,n1),
    inference(sr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_52,plain,
    ( gt(X1,X2)
    | ~ gt(plus(X1,n1),plus(X2,n1)) ),
    c_0_47 ).

cnf(c_0_53,plain,
    ( gt(X1,minus(X1,n1))
    | ~ gt(X1,n0) ),
    c_0_48 ).

cnf(c_0_54,negated_conjecture,
    minus(fifo_length,n1) = level(t_139),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).

cnf(c_0_55,negated_conjecture,
    ( gt(X1,level(t_139))
    | ~ gt(plus(X1,n1),fifo_length) ),
    inference(spm,[status(thm)],[c_0_52,c_0_20]) ).

cnf(c_0_56,negated_conjecture,
    ( gt(plus(X1,n1),fifo_length)
    | ~ gt(X1,level(t_139)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_20]) ).

cnf(c_0_57,negated_conjecture,
    gt(fifo_length,level(t_139)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_36])]) ).

cnf(c_0_58,negated_conjecture,
    ~ gt(plus(fifo_length,n1),fifo_length),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_55]),c_0_20]),c_0_35])]),c_0_41]),c_0_37]),c_0_38]) ).

cnf(c_0_59,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWV022-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n002.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 17:38:23 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.wKJOxaUUF7/E---3.1_5463.p
% 0.20/0.53  # Version: 3.1.0
% 0.20/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.53  # Starting sh5l with 300s (1) cores
% 0.20/0.53  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 5542 completed with status 0
% 0.20/0.53  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.20/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FGHSS-FFMS21-SFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.20/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.53  # Starting sh5l with 136s (1) cores
% 0.20/0.53  # SAT001_MinMin_p005000_rr_RG with pid 5548 completed with status 0
% 0.20/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.53  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FGHSS-FFMS21-SFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.53  # Preprocessing time       : 0.002 s
% 0.20/0.53  # Presaturation interreduction done
% 0.20/0.53  
% 0.20/0.53  # Proof found!
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  # Parsed axioms                        : 95
% 0.20/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.53  # Initial clauses                      : 95
% 0.20/0.53  # Removed in clause preprocessing      : 1
% 0.20/0.53  # Initial clauses in saturation        : 94
% 0.20/0.53  # Processed clauses                    : 357
% 0.20/0.53  # ...of these trivial                  : 3
% 0.20/0.53  # ...subsumed                          : 75
% 0.20/0.53  # ...remaining for further processing  : 279
% 0.20/0.53  # Other redundant clauses eliminated   : 7
% 0.20/0.53  # Clauses deleted for lack of memory   : 0
% 0.20/0.53  # Backward-subsumed                    : 33
% 0.20/0.53  # Backward-rewritten                   : 12
% 0.20/0.53  # Generated clauses                    : 480
% 0.20/0.53  # ...of the previous two non-redundant : 398
% 0.20/0.53  # ...aggressively subsumed             : 0
% 0.20/0.53  # Contextual simplify-reflections      : 65
% 0.20/0.53  # Paramodulations                      : 469
% 0.20/0.53  # Factorizations                       : 2
% 0.20/0.53  # NegExts                              : 0
% 0.20/0.53  # Equation resolutions                 : 8
% 0.20/0.53  # Disequality decompositions           : 0
% 0.20/0.53  # Total rewrite steps                  : 124
% 0.20/0.53  # ...of those cached                   : 105
% 0.20/0.53  # Propositional unsat checks           : 0
% 0.20/0.53  #    Propositional check models        : 0
% 0.20/0.53  #    Propositional check unsatisfiable : 0
% 0.20/0.53  #    Propositional clauses             : 0
% 0.20/0.53  #    Propositional clauses after purity: 0
% 0.20/0.53  #    Propositional unsat core size     : 0
% 0.20/0.53  #    Propositional preprocessing time  : 0.000
% 0.20/0.53  #    Propositional encoding time       : 0.000
% 0.20/0.53  #    Propositional solver time         : 0.000
% 0.20/0.53  #    Success case prop preproc time    : 0.000
% 0.20/0.53  #    Success case prop encoding time   : 0.000
% 0.20/0.53  #    Success case prop solver time     : 0.000
% 0.20/0.53  # Current number of processed clauses  : 154
% 0.20/0.53  #    Positive orientable unit clauses  : 15
% 0.20/0.53  #    Positive unorientable unit clauses: 0
% 0.20/0.53  #    Negative unit clauses             : 13
% 0.20/0.53  #    Non-unit-clauses                  : 126
% 0.20/0.53  # Current number of unprocessed clauses: 195
% 0.20/0.53  # ...number of literals in the above   : 818
% 0.20/0.53  # Current number of archived formulas  : 0
% 0.20/0.53  # Current number of archived clauses   : 123
% 0.20/0.53  # Clause-clause subsumption calls (NU) : 4957
% 0.20/0.53  # Rec. Clause-clause subsumption calls : 1323
% 0.20/0.53  # Non-unit clause-clause subsumptions  : 137
% 0.20/0.53  # Unit Clause-clause subsumption calls : 232
% 0.20/0.53  # Rewrite failures with RHS unbound    : 0
% 0.20/0.53  # BW rewrite match attempts            : 13
% 0.20/0.53  # BW rewrite match successes           : 9
% 0.20/0.53  # Condensation attempts                : 0
% 0.20/0.53  # Condensation successes               : 0
% 0.20/0.53  # Termbank termtop insertions          : 11352
% 0.20/0.53  # Search garbage collected termcells   : 192
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.031 s
% 0.20/0.53  # System time              : 0.002 s
% 0.20/0.53  # Total time               : 0.032 s
% 0.20/0.53  # Maximum resident set size: 1824 pages
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.132 s
% 0.20/0.53  # System time              : 0.007 s
% 0.20/0.53  # Total time               : 0.139 s
% 0.20/0.53  # Maximum resident set size: 1752 pages
% 0.20/0.53  % E---3.1 exiting
% 0.20/0.53  % E exiting
%------------------------------------------------------------------------------