↑ Up

E---3.5.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 12:15:54 PM UTC 2026

% Result   : Theorem 0.16s 0.46s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   38 (  24 unt;   0 def)
%            Number of atoms       :   74 (  28 equ)
%            Maximal formula atoms :    7 (   1 avg)
%            Number of connectives :   74 (  38   ~;  25   |;   8   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-2 aty)
%            Number of variables   :   44 (   2 sgn  23   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(keep_not_released,axiom,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( releases(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+0.ax',keep_not_released) ).

fof(filling_not_waterLevel,axiom,
    ! [X12] : filling != waterLevel(X12),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',filling_not_waterLevel) ).

fof(releases_all_defn,axiom,
    ! [X4,X2,X5] :
      ( releases(X4,X2,X5)
    <=> ? [X9] :
          ( X2 = waterLevel(X9)
          & X4 = tapOn ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR001+1.ax',releases_all_defn) ).

fof(symmetry_of_plus,axiom,
    ! [X12,X13] : plus(X12,X13) = plus(X13,X12),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',symmetry_of_plus) ).

fof(plus1_1,axiom,
    plus(n1,n1) = n2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_1) ).

fof(plus1_2,axiom,
    plus(n1,n2) = n3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus1_2) ).

fof(filling_3_l1,conjecture,
    ~ releasedAt(filling,n3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',filling_3_l1) ).

fof(not_released_filling_0,hypothesis,
    ~ releasedAt(filling,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_released_filling_0) ).

fof(plus0_1,axiom,
    plus(n0,n1) = n1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',plus0_1) ).

fof(c_0_9,plain,
    ! [X2,X5] :
      ( ( ~ ? [X4] :
              ( releases(X4,X2,X5)
              & happens(X4,X5) )
        & ~ releasedAt(X2,X5) )
     => ~ releasedAt(X2,plus(X5,n1)) ),
    inference(fof_simplification,[status(thm)],[keep_not_released]) ).

fof(c_0_10,plain,
    ! [X12] : filling != waterLevel(X12),
    inference(fof_simplification,[status(thm)],[filling_not_waterLevel]) ).

fof(c_0_11,plain,
    ! [X74,X75,X76,X78,X79,X80,X81] :
      ( ( releases(X78,X79,X81)
        | X79 != waterLevel(X80)
        | X78 != tapOn )
      & ( ~ releases(X74,X75,X76)
        | X75 = waterLevel(esk9_2(X74,X75)) )
      & ( ~ releases(X74,X75,X76)
        | X74 = tapOn ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[releases_all_defn])])])])])])]) ).

fof(c_0_12,plain,
    ! [X53,X54] :
      ( ( ~ releasedAt(X53,plus(X54,n1))
        | releasedAt(X53,X54)
        | releases(esk8_2(X53,X54),X53,X54) )
      & ( ~ releasedAt(X53,plus(X54,n1))
        | releasedAt(X53,X54)
        | happens(esk8_2(X53,X54),X54) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).

fof(c_0_13,plain,
    ! [X91] : filling != waterLevel(X91),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_10])]) ).

cnf(c_0_14,plain,
    ( ~ releases(X2,X1,X3)
    | X1 = waterLevel(esk9_2(X2,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | releases(esk8_2(X1,X2),X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    filling != waterLevel(X1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | releasedAt(X1,X2)
    | waterLevel(esk9_2(esk8_2(X1,X2),X1)) = X1 ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_18,plain,
    ! [X95,X96] : plus(X95,X96) = plus(X96,X95),
    inference(variable_rename,[status(thm)],[symmetry_of_plus]) ).

cnf(c_0_19,plain,
    ( ~ releasedAt(X1,plus(X2,n1))
    | X1 != filling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    plus(X1,X2) = plus(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_21,plain,
    plus(n1,n1) = n2,
    inference(split_conjunct,[status(thm)],[plus1_1]) ).

cnf(c_0_22,plain,
    ( ~ releasedAt(X1,plus(n1,X2))
    | X1 != filling
    | releasedAt(X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,plain,
    plus(n1,n2) = n3,
    inference(split_conjunct,[status(thm)],[plus1_2]) ).

fof(c_0_24,negated_conjecture,
    ~ ~ releasedAt(filling,n3),
    inference(assume_negation,[status(cth)],[filling_3_l1]) ).

fof(c_0_25,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_simplification,[status(thm)],[not_released_filling_0]) ).

cnf(c_0_26,plain,
    plus(n0,n1) = n1,
    inference(split_conjunct,[status(thm)],[plus0_1]) ).

cnf(c_0_27,plain,
    ( ~ releasedAt(X1,n2)
    | X1 != filling
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_21]) ).

cnf(c_0_28,plain,
    ( ~ releasedAt(X1,n3)
    | X1 != filling
    | releasedAt(X1,n2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_29,negated_conjecture,
    releasedAt(filling,n3),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_30,hypothesis,
    ~ releasedAt(filling,n0),
    inference(fof_nnf,[status(thm)],[c_0_25]) ).

cnf(c_0_31,plain,
    plus(n1,n0) = n1,
    inference(rw,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_32,plain,
    ( ~ releasedAt(X1,n3)
    | X1 != filling
    | releasedAt(X1,n1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    releasedAt(filling,n3),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,hypothesis,
    ~ releasedAt(filling,n0),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( ~ releasedAt(X1,n1)
    | X1 != filling
    | releasedAt(X1,n0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    releasedAt(filling,n1),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR014+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35  % Computer : n014.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Mon Sep 21 14:23:49 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 0.10/0.35  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39  Running first-order theorem proving
% 0.10/0.39  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
% 0.16/0.46  % Version: 3.5.1
% 0.16/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  % Starting new_bool_1 with 300s (1) cores
% 0.16/0.46  % Starting sh5l with 300s (1) cores
% 0.16/0.46  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 103232 completed with status 0
% 0.16/0.46  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.16/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.46  % No SInE strategy applied
% 0.16/0.46  % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.16/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.46  % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/0.46  % Starting new_bool_3 with 136s (1) cores
% 0.16/0.46  % Starting U----_116_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN1 with 136s (1) cores
% 0.16/0.46  % G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 103243 completed with status 0
% 0.16/0.46  % Result found by G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.16/0.46  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.46  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.46  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.16/0.46  % No SInE strategy applied
% 0.16/0.46  % Search class: FGHSF-FSLM32-SFFFFFNN
% 0.16/0.46  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  % Starting SubtermCWHack with 136s (1) cores
% 0.16/0.46  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.16/0.46  % Starting G-E--_107_C41_F1_PI_AE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 0.16/0.46  % Preprocessing time       : 0.003 s
% 0.16/0.46  % Presaturation interreduction done
% 0.16/0.46  
% 0.16/0.46  % Proof found!
% 0.16/0.46  % SZS status Theorem
% 0.16/0.46  % SZS output start CNFRefutation
% See solution above
% 0.16/0.46  % Parsed axioms                        : 55
% 0.16/0.46  % Removed by relevancy pruning/SinE    : 0
% 0.16/0.46  % Initial clauses                      : 137
% 0.16/0.46  % Removed in clause preprocessing      : 1
% 0.16/0.46  % Initial clauses in saturation        : 136
% 0.16/0.46  % Processed clauses                    : 614
% 0.16/0.46  % ...of these trivial                  : 1
% 0.16/0.46  % ...subsumed                          : 218
% 0.16/0.46  % ...remaining for further processing  : 395
% 0.16/0.46  % Other redundant clauses eliminated   : 30
% 0.16/0.46  % Clauses deleted for lack of memory   : 0
% 0.16/0.46  % Backward-subsumed                    : 12
% 0.16/0.46  % Backward-rewritten                   : 2
% 0.16/0.46  % Generated clauses                    : 927
% 0.16/0.46  % ...of the previous two non-redundant : 783
% 0.16/0.46  % ...aggressively subsumed             : 0
% 0.16/0.46  % Contextual simplify-reflections      : 0
% 0.16/0.46  % Paramodulations                      : 884
% 0.16/0.46  % Factorizations                       : 4
% 0.16/0.46  % NegExts                              : 0
% 0.16/0.46  % Equation resolutions                 : 34
% 0.16/0.46  % Disequality decompositions           : 0
% 0.16/0.46  % Total rewrite steps                  : 80
% 0.16/0.46  % ...of those cached                   : 60
% 0.16/0.46  % Propositional unsat checks           : 0
% 0.16/0.46  %    Propositional check models        : 0
% 0.16/0.46  %    Propositional check unsatisfiable : 0
% 0.16/0.46  %    Propositional clauses             : 0
% 0.16/0.46  %    Propositional clauses after purity: 0
% 0.16/0.46  %    Propositional unsat core size     : 0
% 0.16/0.46  %    Propositional preprocessing time  : 0.000
% 0.16/0.46  %    Propositional encoding time       : 0.000
% 0.16/0.46  %    Propositional solver time         : 0.000
% 0.16/0.46  %    Success case prop preproc time    : 0.000
% 0.16/0.46  %    Success case prop encoding time   : 0.000
% 0.16/0.46  %    Success case prop solver time     : 0.000
% 0.16/0.46  % Current number of processed clauses  : 261
% 0.16/0.46  %    Positive orientable unit clauses  : 25
% 0.16/0.46  %    Positive unorientable unit clauses: 1
% 0.16/0.46  %    Negative unit clauses             : 44
% 0.16/0.46  %    Non-unit-clauses                  : 191
% 0.16/0.46  % Current number of unprocessed clauses: 417
% 0.16/0.46  % ...number of literals in the above   : 1916
% 0.16/0.46  % Current number of archived formulas  : 0
% 0.16/0.46  % Current number of archived clauses   : 130
% 0.16/0.46  % Clause-clause subsumption calls (NU) : 5531
% 0.16/0.46  % Rec. Clause-clause subsumption calls : 3176
% 0.16/0.46  % Non-unit clause-clause subsumptions  : 89
% 0.16/0.46  % Unit Clause-clause subsumption calls : 1520
% 0.16/0.46  % Rewrite failures with RHS unbound    : 0
% 0.16/0.46  % BW rewrite match attempts            : 52
% 0.16/0.46  % BW rewrite match successes           : 42
% 0.16/0.46  % Condensation attempts                : 0
% 0.16/0.46  % Condensation successes               : 0
% 0.16/0.46  % Termbank termtop insertions          : 16580
% 0.16/0.46  % Search garbage collected termcells   : 1496
% 0.16/0.46  
% 0.16/0.46  % -------------------------------------------------
% 0.16/0.46  % User time                : 0.043 s
% 0.16/0.46  % System time              : 0.004 s
% 0.16/0.46  % Total time               : 0.047 s
% 0.16/0.46  % Maximum resident set size: 3904 pages
% 0.16/0.46  
% 0.16/0.46  % -------------------------------------------------
% 0.16/0.46  % User time                : 0.151 s
% 0.16/0.46  % System time              : 0.021 s
% 0.16/0.46  % Total time               : 0.172 s
% 0.16/0.46  % Maximum resident set size: 4608 pages
% 0.16/0.46  % E exiting
%------------------------------------------------------------------------------