TSTP Solution File: PLA022-2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 09:09:52 EDT 2024

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   44 (  17 unt;   0 nHn;  41 RR)
%            Number of literals    :   97 (   0 equ;  62 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :   75 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_ACD,negated_conjecture,
    ~ holds(and(on(a,c),on(c,d)),X1),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',prove_ACD) ).

cnf(and_definition,axiom,
    ( holds(and(X1,X2),X3)
    | ~ holds(X1,X3)
    | ~ holds(X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',and_definition) ).

cnf(putdown_2,axiom,
    ( holds(on(X1,X2),do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',putdown_2) ).

cnf(putdown_4,axiom,
    ( holds(on(X1,X2),do(putdown(X3,X4),X5))
    | ~ holds(on(X1,X2),X5) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',putdown_4) ).

cnf(pickup_1,axiom,
    ( holds(holding(X1),do(pickup(X1),X2))
    | ~ holds(empty,X2)
    | ~ holds(clear(X1),X2)
    | ~ differ(X1,table) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',pickup_1) ).

cnf(symmetry_of_differ,axiom,
    ( differ(X1,X2)
    | ~ differ(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',symmetry_of_differ) ).

cnf(differ_a_table,axiom,
    differ(a,table),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',differ_a_table) ).

cnf(pickup_3,axiom,
    ( holds(on(X1,X2),do(pickup(X3),X4))
    | ~ holds(on(X1,X2),X4)
    | ~ differ(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',pickup_3) ).

cnf(differ_a_c,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',differ_a_c) ).

cnf(pickup_4,axiom,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X1),X3)
    | ~ differ(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',pickup_4) ).

cnf(initial_state3,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',initial_state3) ).

cnf(initial_state5,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',initial_state5) ).

cnf(initial_state7,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',initial_state7) ).

cnf(initial_state8,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p',initial_state8) ).

cnf(c_0_14,negated_conjecture,
    ~ holds(and(on(a,c),on(c,d)),X1),
    inference(fof_simplification,[status(thm)],[prove_ACD]) ).

cnf(c_0_15,plain,
    ( holds(and(X1,X2),X3)
    | ~ holds(X1,X3)
    | ~ holds(X2,X3) ),
    inference(fof_simplification,[status(thm)],[and_definition]) ).

cnf(c_0_16,negated_conjecture,
    ~ holds(and(on(a,c),on(c,d)),X1),
    c_0_14 ).

cnf(c_0_17,plain,
    ( holds(and(X1,X2),X3)
    | ~ holds(X1,X3)
    | ~ holds(X2,X3) ),
    c_0_15 ).

cnf(c_0_18,plain,
    ( holds(on(X1,X2),do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    inference(fof_simplification,[status(thm)],[putdown_2]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ holds(on(c,d),X1)
    | ~ holds(on(a,c),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( holds(on(X1,X2),do(putdown(X1,X2),X3))
    | ~ holds(holding(X1),X3)
    | ~ holds(clear(X2),X3) ),
    c_0_18 ).

cnf(c_0_21,plain,
    ( holds(on(X1,X2),do(putdown(X3,X4),X5))
    | ~ holds(on(X1,X2),X5) ),
    inference(fof_simplification,[status(thm)],[putdown_4]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ holds(on(c,d),do(putdown(a,c),X1))
    | ~ holds(holding(a),X1)
    | ~ holds(clear(c),X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    ( holds(on(X1,X2),do(putdown(X3,X4),X5))
    | ~ holds(on(X1,X2),X5) ),
    c_0_21 ).

cnf(c_0_24,plain,
    ( holds(holding(X1),do(pickup(X1),X2))
    | ~ holds(empty,X2)
    | ~ holds(clear(X1),X2)
    | ~ differ(X1,table) ),
    inference(fof_simplification,[status(thm)],[pickup_1]) ).

cnf(c_0_25,plain,
    ( differ(X1,X2)
    | ~ differ(X2,X1) ),
    inference(fof_simplification,[status(thm)],[symmetry_of_differ]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ holds(on(c,d),X1)
    | ~ holds(holding(a),X1)
    | ~ holds(clear(c),X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( holds(holding(X1),do(pickup(X1),X2))
    | ~ holds(empty,X2)
    | ~ holds(clear(X1),X2)
    | ~ differ(X1,table) ),
    c_0_24 ).

cnf(c_0_28,axiom,
    differ(a,table),
    differ_a_table ).

cnf(c_0_29,plain,
    ( holds(on(X1,X2),do(pickup(X3),X4))
    | ~ holds(on(X1,X2),X4)
    | ~ differ(X1,X3) ),
    inference(fof_simplification,[status(thm)],[pickup_3]) ).

cnf(c_0_30,plain,
    ( differ(X1,X2)
    | ~ differ(X2,X1) ),
    c_0_25 ).

cnf(c_0_31,axiom,
    differ(a,c),
    differ_a_c ).

cnf(c_0_32,negated_conjecture,
    ( ~ holds(on(c,d),do(pickup(a),X1))
    | ~ holds(clear(c),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_26,c_0_27]),c_0_28])]) ).

cnf(c_0_33,plain,
    ( holds(on(X1,X2),do(pickup(X3),X4))
    | ~ holds(on(X1,X2),X4)
    | ~ differ(X1,X3) ),
    c_0_29 ).

cnf(c_0_34,plain,
    differ(c,a),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X1),X3)
    | ~ differ(X1,X2) ),
    inference(fof_simplification,[status(thm)],[pickup_4]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ holds(clear(c),do(pickup(a),X1))
    | ~ holds(on(c,d),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(empty,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).

cnf(c_0_37,plain,
    ( holds(clear(X1),do(pickup(X2),X3))
    | ~ holds(clear(X1),X3)
    | ~ differ(X1,X2) ),
    c_0_35 ).

cnf(c_0_38,negated_conjecture,
    ( ~ holds(on(c,d),X1)
    | ~ holds(clear(a),X1)
    | ~ holds(clear(c),X1)
    | ~ holds(empty,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_34])]) ).

cnf(c_0_39,axiom,
    holds(on(c,d),s0),
    initial_state3 ).

cnf(c_0_40,axiom,
    holds(clear(a),s0),
    initial_state5 ).

cnf(c_0_41,axiom,
    holds(clear(c),s0),
    initial_state7 ).

cnf(c_0_42,axiom,
    holds(empty,s0),
    initial_state8 ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),c_0_41]),c_0_42])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : PLA022-2 : TPTP v8.1.2. Released v1.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n015.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 12:02:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.niOEVTj8dn/E---3.1_29490.p
% 0.21/0.50  # Version: 3.1.0
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29568 completed with status 0
% 0.21/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FHUNF-FFMM21-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.50  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.50  # Starting sh5l with 136s (1) cores
% 0.21/0.50  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 29574 completed with status 0
% 0.21/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # No SInE strategy applied
% 0.21/0.50  # Search class: FHUNF-FFMM21-SFFFFFNN
% 0.21/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.50  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Unsatisfiable
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 31
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.50  # Initial clauses                      : 31
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 31
% 0.21/0.50  # Processed clauses                    : 87
% 0.21/0.50  # ...of these trivial                  : 0
% 0.21/0.50  # ...subsumed                          : 3
% 0.21/0.50  # ...remaining for further processing  : 84
% 0.21/0.50  # Other redundant clauses eliminated   : 0
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 0
% 0.21/0.50  # Generated clauses                    : 43
% 0.21/0.50  # ...of the previous two non-redundant : 29
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 43
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 0
% 0.21/0.50  # Disequality decompositions           : 0
% 0.21/0.50  # Total rewrite steps                  : 19
% 0.21/0.50  # ...of those cached                   : 4
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 53
% 0.21/0.50  #    Positive orientable unit clauses  : 29
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 1
% 0.21/0.50  #    Non-unit-clauses                  : 23
% 0.21/0.50  # Current number of unprocessed clauses: 4
% 0.21/0.50  # ...number of literals in the above   : 18
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 31
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 228
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 87
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 3
% 0.21/0.50  # Unit Clause-clause subsumption calls : 0
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 0
% 0.21/0.50  # BW rewrite match successes           : 0
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 1731
% 0.21/0.50  # Search garbage collected termcells   : 55
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.004 s
% 0.21/0.50  # System time              : 0.002 s
% 0.21/0.50  # Total time               : 0.007 s
% 0.21/0.50  # Maximum resident set size: 1676 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.025 s
% 0.21/0.50  # System time              : 0.008 s
% 0.21/0.50  # Total time               : 0.032 s
% 0.21/0.50  # Maximum resident set size: 1712 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------