TSTP Solution File: PLA017-10 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 02:19:09 EDT 2024

% Result   : Unsatisfiable 0.38s 0.72s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   29 (  29 unt;   0 nHn;  17 RR)
%            Number of literals    :   29 (  28 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   6 con; 0-4 aty)
%            Number of variables   :   31 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(pickup_1,axiom,
    ifeq(differ(X1,table),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X1),X2),true,holds(holding(X1),do(pickup(X1),X2)),true),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).

cnf(initial_state5,axiom,
    holds(clear(a),s0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).

cnf(differ_a_table,axiom,
    differ(a,table) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).

cnf(initial_state8,axiom,
    holds(empty,s0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).

cnf(pickup_4,axiom,
    ifeq(differ(X1,X2),true,ifeq(holds(clear(X1),X3),true,holds(clear(X1),do(pickup(X2),X3)),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).

cnf(initial_state7,axiom,
    holds(clear(c),s0) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).

cnf(symmetry_of_differ,axiom,
    ifeq(differ(X1,X2),true,differ(X2,X1),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).

cnf(differ_a_c,axiom,
    differ(a,c) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).

cnf(putdown_2,axiom,
    ifeq(holds(holding(X1),X2),true,ifeq(holds(clear(X3),X2),true,holds(on(X1,X3),do(putdown(X1,X3),X2)),true),true) = true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).

cnf(prove_AC,negated_conjecture,
    holds(on(a,c),X1) != true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_AC) ).

cnf(c_0_11,axiom,
    ifeq(differ(X1,table),true,ifeq(holds(empty,X2),true,ifeq(holds(clear(X1),X2),true,holds(holding(X1),do(pickup(X1),X2)),true),true),true) = true,
    pickup_1 ).

cnf(c_0_12,axiom,
    holds(clear(a),s0) = true,
    initial_state5 ).

cnf(c_0_13,axiom,
    differ(a,table) = true,
    differ_a_table ).

cnf(c_0_14,axiom,
    holds(empty,s0) = true,
    initial_state8 ).

cnf(c_0_15,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_16,axiom,
    ifeq(differ(X1,X2),true,ifeq(holds(clear(X1),X3),true,holds(clear(X1),do(pickup(X2),X3)),true),true) = true,
    pickup_4 ).

cnf(c_0_17,axiom,
    holds(clear(c),s0) = true,
    initial_state7 ).

cnf(c_0_18,axiom,
    ifeq(differ(X1,X2),true,differ(X2,X1),true) = true,
    symmetry_of_differ ).

cnf(c_0_19,axiom,
    differ(a,c) = true,
    differ_a_c ).

cnf(c_0_20,axiom,
    ifeq(holds(holding(X1),X2),true,ifeq(holds(clear(X3),X2),true,holds(on(X1,X3),do(putdown(X1,X3),X2)),true),true) = true,
    putdown_2 ).

cnf(c_0_21,plain,
    holds(holding(a),do(pickup(a),s0)) = true,
    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_11,c_0_12]),c_0_13]),c_0_14]),c_0_15]),c_0_15]),c_0_15]) ).

cnf(c_0_22,plain,
    ifeq(differ(c,X1),true,holds(clear(c),do(pickup(X1),s0)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_15]) ).

cnf(c_0_23,plain,
    differ(c,a) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).

cnf(c_0_24,negated_conjecture,
    holds(on(a,c),X1) != true,
    inference(fof_simplification,[status(thm)],[prove_AC]) ).

cnf(c_0_25,plain,
    ifeq(holds(clear(X1),do(pickup(a),s0)),true,holds(on(a,X1),do(putdown(a,X1),do(pickup(a),s0))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_15]) ).

cnf(c_0_26,plain,
    holds(clear(c),do(pickup(a),s0)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_15]) ).

cnf(c_0_27,negated_conjecture,
    holds(on(a,c),X1) != true,
    c_0_24 ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_15]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : PLA017-10 : TPTP v8.2.0. Released v7.3.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 13:42:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  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
% 0.38/0.72  # Version: 3.1.0
% 0.38/0.72  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.38/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.38/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.72  # Starting sh5l with 300s (1) cores
% 0.38/0.72  # sh5l with pid 17529 completed with status 0
% 0.38/0.72  # Result found by sh5l
% 0.38/0.72  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.38/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.38/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.72  # Starting sh5l with 300s (1) cores
% 0.38/0.72  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.72  # Search class: FUUPM-FFMM31-DFFFFFNN
% 0.38/0.72  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.72  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 75s (1) cores
% 0.38/0.72  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 17537 completed with status 0
% 0.38/0.72  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.38/0.72  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.38/0.72  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.38/0.72  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.38/0.72  # Starting new_bool_3 with 300s (1) cores
% 0.38/0.72  # Starting new_bool_1 with 300s (1) cores
% 0.38/0.72  # Starting sh5l with 300s (1) cores
% 0.38/0.72  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.38/0.72  # Search class: FUUPM-FFMM31-DFFFFFNN
% 0.38/0.72  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.38/0.72  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 75s (1) cores
% 0.38/0.72  # Preprocessing time       : 0.001 s
% 0.38/0.72  # Presaturation interreduction done
% 0.38/0.72  
% 0.38/0.72  # Proof found!
% 0.38/0.72  # SZS status Unsatisfiable
% 0.38/0.72  # SZS output start CNFRefutation
% See solution above
% 0.38/0.72  # Parsed axioms                        : 32
% 0.38/0.72  # Removed by relevancy pruning/SinE    : 1
% 0.38/0.72  # Initial clauses                      : 31
% 0.38/0.72  # Removed in clause preprocessing      : 0
% 0.38/0.72  # Initial clauses in saturation        : 31
% 0.38/0.72  # Processed clauses                    : 952
% 0.38/0.72  # ...of these trivial                  : 78
% 0.38/0.72  # ...subsumed                          : 0
% 0.38/0.72  # ...remaining for further processing  : 874
% 0.38/0.72  # Other redundant clauses eliminated   : 0
% 0.38/0.72  # Clauses deleted for lack of memory   : 0
% 0.38/0.72  # Backward-subsumed                    : 0
% 0.38/0.72  # Backward-rewritten                   : 1
% 0.38/0.72  # Generated clauses                    : 9758
% 0.38/0.72  # ...of the previous two non-redundant : 7941
% 0.38/0.72  # ...aggressively subsumed             : 0
% 0.38/0.72  # Contextual simplify-reflections      : 0
% 0.38/0.72  # Paramodulations                      : 9758
% 0.38/0.72  # Factorizations                       : 0
% 0.38/0.72  # NegExts                              : 0
% 0.38/0.72  # Equation resolutions                 : 0
% 0.38/0.72  # Disequality decompositions           : 0
% 0.38/0.72  # Total rewrite steps                  : 14373
% 0.38/0.72  # ...of those cached                   : 6472
% 0.38/0.72  # Propositional unsat checks           : 0
% 0.38/0.72  #    Propositional check models        : 0
% 0.38/0.72  #    Propositional check unsatisfiable : 0
% 0.38/0.72  #    Propositional clauses             : 0
% 0.38/0.72  #    Propositional clauses after purity: 0
% 0.38/0.72  #    Propositional unsat core size     : 0
% 0.38/0.72  #    Propositional preprocessing time  : 0.000
% 0.38/0.72  #    Propositional encoding time       : 0.000
% 0.38/0.72  #    Propositional solver time         : 0.000
% 0.38/0.72  #    Success case prop preproc time    : 0.000
% 0.38/0.72  #    Success case prop encoding time   : 0.000
% 0.38/0.72  #    Success case prop solver time     : 0.000
% 0.38/0.72  # Current number of processed clauses  : 842
% 0.38/0.72  #    Positive orientable unit clauses  : 841
% 0.38/0.72  #    Positive unorientable unit clauses: 0
% 0.38/0.72  #    Negative unit clauses             : 1
% 0.38/0.72  #    Non-unit-clauses                  : 0
% 0.38/0.72  # Current number of unprocessed clauses: 7051
% 0.38/0.72  # ...number of literals in the above   : 7051
% 0.38/0.72  # Current number of archived formulas  : 0
% 0.38/0.72  # Current number of archived clauses   : 32
% 0.38/0.72  # Clause-clause subsumption calls (NU) : 0
% 0.38/0.72  # Rec. Clause-clause subsumption calls : 0
% 0.38/0.72  # Non-unit clause-clause subsumptions  : 0
% 0.38/0.72  # Unit Clause-clause subsumption calls : 0
% 0.38/0.72  # Rewrite failures with RHS unbound    : 0
% 0.38/0.72  # BW rewrite match attempts            : 18573
% 0.38/0.72  # BW rewrite match successes           : 1
% 0.38/0.72  # Condensation attempts                : 0
% 0.38/0.72  # Condensation successes               : 0
% 0.38/0.72  # Termbank termtop insertions          : 247397
% 0.38/0.72  # Search garbage collected termcells   : 9
% 0.38/0.72  
% 0.38/0.72  # -------------------------------------------------
% 0.38/0.72  # User time                : 0.158 s
% 0.38/0.72  # System time              : 0.016 s
% 0.38/0.72  # Total time               : 0.174 s
% 0.38/0.72  # Maximum resident set size: 1648 pages
% 0.38/0.72  
% 0.38/0.72  # -------------------------------------------------
% 0.38/0.72  # User time                : 0.161 s
% 0.38/0.72  # System time              : 0.016 s
% 0.38/0.72  # Total time               : 0.177 s
% 0.38/0.72  # Maximum resident set size: 1712 pages
% 0.38/0.72  % E---3.1 exiting
% 0.38/0.72  % E exiting
%------------------------------------------------------------------------------