TSTP Solution File: PLA007-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : PLA007-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:10:19 EDT 2023

% Result   : Timeout 0.45s 300.14s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of clauses     :   48 (  24 unt;   0 nHn;  44 RR)
%            Number of literals    :  122 (   0 equ;  86 neg)
%            Maximal clause size   :    9 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   6 con; 0-2 aty)
%            Number of variables   :   67 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_AD,negated_conjecture,
    ~ holds(on(a,d),X1),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',prove_AD) ).

cnf(putdown_2,axiom,
    ( holds(on(X1,X2),do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',putdown_2) ).

cnf(pickup_1,axiom,
    ( holds(holding(X1),do(pickup(X1),X2))
    | ~ holds(empty,X2)
    | ~ holds(clear(X1),X2)
    | ~ differ(X1,table) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',pickup_1) ).

cnf(differ_a_table,axiom,
    differ(a,table),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',differ_a_table) ).

cnf(symmetry_of_differ,axiom,
    ( differ(X1,X2)
    | ~ differ(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',symmetry_of_differ) ).

cnf(differ_a_d,axiom,
    differ(a,d),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',differ_a_d) ).

cnf(pickup_4,axiom,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X1),X3)
    | ~ differ(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',pickup_4) ).

cnf(putdown_5,axiom,
    ( holds(clear(X1),do(putdown(X2,X3),X4))
    | ~ holds(clear(X1),X4)
    | ~ differ(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',putdown_5) ).

cnf(putdown_1,axiom,
    ( holds(empty,do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',putdown_1) ).

cnf(pickup_2,axiom,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(on(X2,X1),X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(empty,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',pickup_2) ).

cnf(clear_table,axiom,
    holds(clear(table),X1),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',clear_table) ).

cnf(differ_d_table,axiom,
    differ(d,table),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',differ_d_table) ).

cnf(initial_state3,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',initial_state3) ).

cnf(differ_c_table,axiom,
    differ(c,table),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',differ_c_table) ).

cnf(differ_a_c,axiom,
    differ(a,c),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',differ_a_c) ).

cnf(initial_state5,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',initial_state5) ).

cnf(initial_state7,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',initial_state7) ).

cnf(initial_state8,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p',initial_state8) ).

cnf(c_0_18,negated_conjecture,
    ~ holds(on(a,d),X1),
    prove_AD ).

cnf(c_0_19,axiom,
    ( holds(on(X1,X2),do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    putdown_2 ).

cnf(c_0_20,negated_conjecture,
    ( ~ holds(holding(a),X1)
    | ~ holds(clear(d),X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,axiom,
    ( holds(holding(X1),do(pickup(X1),X2))
    | ~ holds(empty,X2)
    | ~ holds(clear(X1),X2)
    | ~ differ(X1,table) ),
    pickup_1 ).

cnf(c_0_22,axiom,
    differ(a,table),
    differ_a_table ).

cnf(c_0_23,axiom,
    ( differ(X1,X2)
    | ~ differ(X2,X1) ),
    symmetry_of_differ ).

cnf(c_0_24,axiom,
    differ(a,d),
    differ_a_d ).

cnf(c_0_25,negated_conjecture,
    ( ~ holds(clear(d),do(pickup(a),X1))
    | ~ holds(clear(a),X1)
    | ~ holds(empty,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_26,axiom,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X1),X3)
    | ~ differ(X1,X2) ),
    pickup_4 ).

cnf(c_0_27,plain,
    differ(d,a),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ holds(clear(a),X1)
    | ~ holds(clear(d),X1)
    | ~ holds(empty,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_29,axiom,
    ( holds(clear(X1),do(putdown(X2,X3),X4))
    | ~ holds(clear(X1),X4)
    | ~ differ(X1,X3) ),
    putdown_5 ).

cnf(c_0_30,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ holds(clear(a),do(putdown(X2,X1),X3))
    | ~ holds(empty,do(putdown(X2,X1),X3))
    | ~ holds(clear(d),X3) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ differ(a,X1)
    | ~ holds(empty,do(putdown(X2,X1),X3))
    | ~ holds(clear(d),X3)
    | ~ holds(clear(a),X3) ),
    inference(spm,[status(thm)],[c_0_30,c_0_29]) ).

cnf(c_0_32,axiom,
    ( holds(empty,do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    putdown_1 ).

cnf(c_0_33,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ differ(a,X1)
    | ~ holds(clear(d),X2)
    | ~ holds(clear(a),X2)
    | ~ holds(holding(X3),X2)
    | ~ holds(clear(X1),X2) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_34,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ differ(a,X1)
    | ~ differ(X2,table)
    | ~ holds(clear(d),do(pickup(X2),X3))
    | ~ holds(clear(a),do(pickup(X2),X3))
    | ~ holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X2),X3)
    | ~ holds(empty,X3) ),
    inference(spm,[status(thm)],[c_0_33,c_0_21]) ).

cnf(c_0_35,axiom,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(on(X2,X1),X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(empty,X3) ),
    pickup_2 ).

cnf(c_0_36,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ differ(a,X1)
    | ~ differ(X2,table)
    | ~ holds(clear(a),do(pickup(X2),X3))
    | ~ holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(on(X2,d),X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(empty,X3) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ differ(d,X1)
    | ~ differ(a,X1)
    | ~ differ(X2,table)
    | ~ differ(a,X2)
    | ~ holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(on(X2,d),X3)
    | ~ holds(clear(a),X3)
    | ~ holds(clear(X2),X3)
    | ~ holds(empty,X3) ),
    inference(spm,[status(thm)],[c_0_36,c_0_26]) ).

cnf(c_0_38,axiom,
    holds(clear(table),X1),
    clear_table ).

cnf(c_0_39,axiom,
    differ(d,table),
    differ_d_table ).

cnf(c_0_40,negated_conjecture,
    ( ~ differ(X1,table)
    | ~ differ(a,X1)
    | ~ holds(on(X1,d),X2)
    | ~ holds(clear(a),X2)
    | ~ holds(clear(X1),X2)
    | ~ holds(empty,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_22])]) ).

cnf(c_0_41,axiom,
    holds(on(c,d),s0),
    initial_state3 ).

cnf(c_0_42,axiom,
    differ(c,table),
    differ_c_table ).

cnf(c_0_43,axiom,
    differ(a,c),
    differ_a_c ).

cnf(c_0_44,axiom,
    holds(clear(a),s0),
    initial_state5 ).

cnf(c_0_45,axiom,
    holds(clear(c),s0),
    initial_state7 ).

cnf(c_0_46,axiom,
    holds(empty,s0),
    initial_state8 ).

cnf(c_0_47,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : PLA007-1 : TPTP v8.1.2. Released v1.1.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n018.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 20:25:39 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.iQSmGqHn3O/E---3.1_29995.p
% 0.45/300.14  # Version: 3.1pre001
% 0.45/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.45/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/300.14  # Starting new_bool_3 with 300s (1) cores
% 0.45/300.14  # Starting new_bool_1 with 300s (1) cores
% 0.45/300.14  # Starting sh5l with 300s (1) cores
% 0.45/300.14  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 30092 completed with status 0
% 0.45/300.14  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.45/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.45/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/300.14  # No SInE strategy applied
% 0.45/300.14  # Search class: FHUNF-FFMM21-SFFFFFNN
% 0.45/300.14  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.45/300.14  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.45/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.45/300.14  # Starting new_bool_3 with 136s (1) cores
% 0.45/300.14  # Starting new_bool_1 with 136s (1) cores
% 0.45/300.14  # Starting sh5l with 136s (1) cores
% 0.45/300.14  # SAT001_MinMin_p005000_rr_RG with pid 30117 completed with status 0
% 0.45/300.14  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.45/300.14  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.45/300.14  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/300.14  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/300.14  # No SInE strategy applied
% 0.45/300.14  # Search class: FHUNF-FFMM21-SFFFFFNN
% 0.45/300.14  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.45/300.14  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.45/300.14  # Preprocessing time       : 0.001 s
% 0.45/300.14  # Presaturation interreduction done
% 0.45/300.14  
% 0.45/300.14  # Proof found!
% 0.45/300.14  # SZS status Unsatisfiable
% 0.45/300.14  # SZS output start CNFRefutation
% See solution above
% 0.45/300.14  # Parsed axioms                        : 31
% 0.45/300.14  # Removed by relevancy pruning/SinE    : 0
% 0.45/300.14  # Initial clauses                      : 31
% 0.45/300.14  # Removed in clause preprocessing      : 0
% 0.45/300.14  # Initial clauses in saturation        : 31
% 0.45/300.14  # Processed clauses                    : 161
% 0.45/300.14  # ...of these trivial                  : 0
% 0.45/300.14  # ...subsumed                          : 15
% 0.45/300.14  # ...remaining for further processing  : 146
% 0.45/300.14  # Other redundant clauses eliminated   : 0
% 0.45/300.14  # Clauses deleted for lack of memory   : 0
% 0.45/300.14  # Backward-subsumed                    : 8
% 0.45/300.14  # Backward-rewritten                   : 0
% 0.45/300.14  # Generated clauses                    : 136
% 0.45/300.14  # ...of the previous two non-redundant : 122
% 0.45/300.14  # ...aggressively subsumed             : 0
% 0.45/300.14  # Contextual simplify-reflections      : 10
% 0.45/300.14  # Paramodulations                      : 136
% 0.45/300.14  # Factorizations                       : 0
% 0.45/300.14  # NegExts                              : 0
% 0.45/300.14  # Equation resolutions                 : 0
% 0.45/300.14  # Total rewrite steps                  : 43
% 0.45/300.14  # Propositional unsat checks           : 0
% 0.45/300.14  #    Propositional check models        : 0
% 0.45/300.14  #    Propositional check unsatisfiable : 0
% 0.45/300.14  #    Propositional clauses             : 0
% 0.45/300.14  #    Propositional clauses after purity: 0
% 0.45/300.14  #    Propositional unsat core size     : 0
% 0.45/300.14  #    Propositional preprocessing time  : 0.000
% 0.45/300.14  #    Propositional encoding time       : 0.000
% 0.45/300.14  #    Propositional solver time         : 0.000
% 0.45/300.14  #    Success case prop preproc time    : 0.000
% 0.45/300.14  #    Success case prop encoding time   : 0.000
% 0.45/300.14  #    Success case prop solver time     : 0.000
% 0.45/300.14  # Current number of processed clauses  : 107
% 0.45/300.14  #    Positive orientable unit clauses  : 29
% 0.45/300.14  #    Positive unorientable unit clauses: 0
% 0.45/300.14  #    Negative unit clauses             : 3
% 0.45/300.14  #    Non-unit-clauses                  : 75
% 0.45/300.14  # Current number of unprocessed clauses: 17
% 0.45/300.14  # ...number of literals in the above   : 137
% 0.45/300.14  # Current number of archived formulas  : 0
% 0.45/300.14  # Current number of archived clauses   : 39
% 0.45/300.14  # Clause-clause subsumption calls (NU) : 8738
% 0.45/300.14  # Rec. Clause-clause subsumption calls : 477
% 0.45/300.14  # Non-unit clause-clause subsumptions  : 29
% 0.45/300.14  # Unit Clause-clause subsumption calls : 104
% 0.45/300.14  # Rewrite failures with RHS unbound    : 0
% 0.45/300.14  # BW rewrite match attempts            : 0
% 0.45/300.14  # BW rewrite match successes           : 0
% 0.45/300.14  # Condensation attempts                : 0
% 0.45/300.14  # Condensation successes               : 0
% 0.45/300.14  # Termbank termtop insertions          : 5956
% 0.45/300.14  
% 0.45/300.14  # -------------------------------------------------
% 0.45/300.14  # User time                : 0.012 s
% 0.45/300.14  # System time              : 0.006 s
% 0.45/300.14  # Total time               : 0.018 s
% 0.45/300.14  # Maximum resident set size: 1656 pages
% 0.45/300.14  
% 0.45/300.14  # -------------------------------------------------
% 0.45/300.14  # User time                : 0.061 s
% 0.45/300.14  # System time              : 0.011 s
% 0.45/300.14  # Total time               : 0.072 s
% 0.45/300.14  # Maximum resident set size: 1696 pages
% 0.45/300.14  % E---3.1 exiting
%------------------------------------------------------------------------------