↑ Up

E-SAT---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 03:01:26 PM UTC 2026

% Result   : Theorem 0.14s 0.46s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   20 (  13 unt;   0 def)
%            Number of atoms       :   31 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  14   ~;   6   |;   2   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   32 (   6 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l5_co,conjecture,
    ! [X1,X2,X3] :
      ( contains_cpq(triple(X1,create_slb,X2),X3)
    <=> contains_pq(i(triple(X1,create_slb,X2)),X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l5_co) ).

fof(ax8,axiom,
    ! [X1] : ~ contains_pq(create_pq,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax',ax8) ).

fof(ax54,axiom,
    ! [X1,X2] : i(triple(X1,create_slb,X2)) = create_pq,
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax54) ).

fof(ax20,axiom,
    ! [X1] : ~ contains_slb(create_slb,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax20) ).

fof(ax39,axiom,
    ! [X1,X2,X3,X4] :
      ( contains_cpq(triple(X1,X2,X3),X4)
    <=> contains_slb(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax39) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( contains_cpq(triple(X1,create_slb,X2),X3)
      <=> contains_pq(i(triple(X1,create_slb,X2)),X3) ),
    inference(assume_negation,[status(cth)],[l5_co]) ).

fof(c_0_6,plain,
    ! [X1] : ~ contains_pq(create_pq,X1),
    inference(fof_simplification,[status(thm)],[ax8]) ).

fof(c_0_7,negated_conjecture,
    ( ( contains_pq(i(triple(esk1_0,create_slb,esk2_0)),esk3_0)
      | contains_cpq(triple(esk1_0,create_slb,esk2_0),esk3_0) )
    & ( ~ contains_pq(i(triple(esk1_0,create_slb,esk2_0)),esk3_0)
      | ~ contains_cpq(triple(esk1_0,create_slb,esk2_0),esk3_0) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

fof(c_0_8,plain,
    ! [X24,X25] : i(triple(X24,create_slb,X25)) = create_pq,
    inference(variable_rename,[status(thm)],[ax54]) ).

fof(c_0_9,plain,
    ! [X9] : ~ contains_pq(create_pq,X9),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).

fof(c_0_10,plain,
    ! [X1] : ~ contains_slb(create_slb,X1),
    inference(fof_simplification,[status(thm)],[ax20]) ).

fof(c_0_11,plain,
    ! [X65,X66,X67,X68] :
      ( ( contains_cpq(triple(X65,X66,X67),X68)
        | ~ contains_slb(X66,X68) )
      & ( contains_slb(X66,X68)
        | ~ contains_cpq(triple(X65,X66,X67),X68) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax39])])]) ).

cnf(c_0_12,negated_conjecture,
    ( contains_pq(i(triple(esk1_0,create_slb,esk2_0)),esk3_0)
    | contains_cpq(triple(esk1_0,create_slb,esk2_0),esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    i(triple(X1,create_slb,X2)) = create_pq,
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ~ contains_pq(create_pq,X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_15,plain,
    ! [X61] : ~ contains_slb(create_slb,X61),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

cnf(c_0_16,plain,
    ( ~ contains_cpq(triple(X1,X2,X3),X4)
    | contains_slb(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,negated_conjecture,
    contains_cpq(triple(esk1_0,create_slb,esk2_0),esk3_0),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).

cnf(c_0_18,plain,
    ~ contains_slb(create_slb,X1),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV369+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n001.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Mon Sep 21 08:49:29 UTC 2026
% 0.14/0.38  % CPUTime  : 
% 0.14/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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/benchmark/theBenchmark.p
% 0.14/0.46  % Version: 3.5.1
% 0.14/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46  % Starting sh5l with 300s (1) cores
% 0.14/0.46  % sh5l with pid 2727324 completed with status 0
% 0.14/0.46  % Result found by sh5l
% 0.14/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46  % Starting sh5l with 300s (1) cores
% 0.14/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.46  % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.14/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.46  % SubtermCWHack with pid 2727329 completed with status 0
% 0.14/0.46  % Result found by SubtermCWHack
% 0.14/0.46  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.14/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.14/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.14/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46  % Starting sh5l with 300s (1) cores
% 0.14/0.46  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/0.46  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/0.46  % Search class: FGHSM-FFMF31-MFFFFFNN
% 0.14/0.46  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.46  % Starting SubtermCWHack with 31s (1) cores
% 0.14/0.46  % Preprocessing time       : 0.002 s
% 0.14/0.46  
% 0.14/0.46  % Proof found!
% 0.14/0.46  % SZS status Theorem
% 0.14/0.46  % SZS output start CNFRefutation
% See solution above
% 0.31/0.46  % Parsed axioms                        : 63
% 0.31/0.46  % Removed by relevancy pruning/SinE    : 10
% 0.31/0.46  % Initial clauses                      : 73
% 0.31/0.46  % Removed in clause preprocessing      : 2
% 0.31/0.46  % Initial clauses in saturation        : 71
% 0.31/0.46  % Processed clauses                    : 171
% 0.31/0.46  % ...of these trivial                  : 4
% 0.31/0.46  % ...subsumed                          : 56
% 0.31/0.46  % ...remaining for further processing  : 111
% 0.31/0.46  % Other redundant clauses eliminated   : 2
% 0.31/0.46  % Clauses deleted for lack of memory   : 0
% 0.31/0.46  % Backward-subsumed                    : 0
% 0.31/0.46  % Backward-rewritten                   : 0
% 0.31/0.46  % Generated clauses                    : 280
% 0.31/0.46  % ...of the previous two non-redundant : 207
% 0.31/0.46  % ...aggressively subsumed             : 0
% 0.31/0.46  % Contextual simplify-reflections      : 3
% 0.31/0.46  % Paramodulations                      : 258
% 0.31/0.46  % Factorizations                       : 20
% 0.31/0.46  % NegExts                              : 0
% 0.31/0.46  % Equation resolutions                 : 2
% 0.31/0.46  % Disequality decompositions           : 0
% 0.31/0.46  % Total rewrite steps                  : 70
% 0.31/0.46  % ...of those cached                   : 26
% 0.31/0.46  % Propositional unsat checks           : 0
% 0.31/0.46  %    Propositional check models        : 0
% 0.31/0.46  %    Propositional check unsatisfiable : 0
% 0.31/0.46  %    Propositional clauses             : 0
% 0.31/0.46  %    Propositional clauses after purity: 0
% 0.31/0.46  %    Propositional unsat core size     : 0
% 0.31/0.46  %    Propositional preprocessing time  : 0.000
% 0.31/0.46  %    Propositional encoding time       : 0.000
% 0.31/0.46  %    Propositional solver time         : 0.000
% 0.31/0.46  %    Success case prop preproc time    : 0.000
% 0.31/0.46  %    Success case prop encoding time   : 0.000
% 0.31/0.46  %    Success case prop solver time     : 0.000
% 0.31/0.46  % Current number of processed clauses  : 109
% 0.31/0.46  %    Positive orientable unit clauses  : 25
% 0.31/0.46  %    Positive unorientable unit clauses: 1
% 0.31/0.46  %    Negative unit clauses             : 7
% 0.31/0.46  %    Non-unit-clauses                  : 76
% 0.31/0.46  % Current number of unprocessed clauses: 107
% 0.31/0.46  % ...number of literals in the above   : 381
% 0.31/0.46  % Current number of archived formulas  : 0
% 0.31/0.46  % Current number of archived clauses   : 0
% 0.31/0.46  % Clause-clause subsumption calls (NU) : 2127
% 0.31/0.46  % Rec. Clause-clause subsumption calls : 1771
% 0.31/0.46  % Non-unit clause-clause subsumptions  : 43
% 0.31/0.46  % Unit Clause-clause subsumption calls : 40
% 0.31/0.46  % Rewrite failures with RHS unbound    : 0
% 0.31/0.46  % BW rewrite match attempts            : 4
% 0.31/0.46  % BW rewrite match successes           : 0
% 0.31/0.46  % Condensation attempts                : 0
% 0.31/0.46  % Condensation successes               : 0
% 0.31/0.46  % Termbank termtop insertions          : 8165
% 0.31/0.46  % Search garbage collected termcells   : 922
% 0.31/0.46  
% 0.31/0.46  % -------------------------------------------------
% 0.31/0.46  % User time                : 0.015 s
% 0.31/0.46  % System time              : 0.002 s
% 0.31/0.46  % Total time               : 0.017 s
% 0.31/0.46  % Maximum resident set size: 3968 pages
% 0.31/0.46  
% 0.31/0.46  % -------------------------------------------------
% 0.31/0.46  % User time                : 0.019 s
% 0.31/0.46  % System time              : 0.006 s
% 0.31/0.46  % Total time               : 0.025 s
% 0.31/0.46  % Maximum resident set size: 4608 pages
% 0.31/0.46  % E exiting
%------------------------------------------------------------------------------