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

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : CSR101+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 12:18:54 PM UTC 2026

% Result   : Theorem 0.98s 1.44s
% Output   : CNFRefutation 0.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   34 (  12 unt;   0 def)
%            Number of atoms       :   92 (   6 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  100 (  42   ~;  39   |;  10   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   44 (   2 sgn  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_1539,axiom,
    ! [X4,X5,X105] :
      ( ( s__instance(X4,s__SetOrClass)
        & s__instance(X5,s__SetOrClass)
        & s__instance(X105,s__SetOrClass) )
     => ( ( s__subclass(X5,X105)
          & s__subclass(X4,X5) )
       => s__subclass(X4,X105) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_1539) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_26) ).

fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) )
     => ( ( s__instance(X8,X6)
          & s__subclass(X6,X7) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_27) ).

fof(prove_from_SUMO_MILO,conjecture,
    ! [X1223] :
      ( s__instance(X1223,s__Class32_2)
     => s__instance(X1223,s__Class32_1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_1443,axiom,
    ! [X4,X5] :
      ( ( s__instance(X4,s__SetOrClass)
        & s__instance(X5,s__SetOrClass) )
     => ( ( s__subclass(X5,X4)
          & s__subclass(X4,X5) )
       => X4 = X5 ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_1443) ).

fof(local_7,axiom,
    s__subclass(s__Class32_1,s__Class32_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_7) ).

fof(local_9,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_9) ).

fof(local_8,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_8) ).

fof(c_0_8,plain,
    ! [X1245,X1246,X1247] :
      ( s__subclass(X1245,X1247)
      | ~ s__subclass(X1246,X1247)
      | ~ s__subclass(X1245,X1246)
      | ~ s__instance(X1245,s__SetOrClass)
      | ~ s__instance(X1246,s__SetOrClass)
      | ~ s__instance(X1247,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_1539])])]) ).

fof(c_0_9,plain,
    ! [X1231,X1232] :
      ( ( ~ s__subclass(X1231,X1232)
        | s__instance(X1232,s__SetOrClass) )
      & ( ~ s__subclass(X1231,X1232)
        | s__instance(X1231,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])])]) ).

fof(c_0_10,plain,
    ! [X1233,X1234,X1235] :
      ( s__instance(X1235,X1234)
      | ~ s__instance(X1235,X1233)
      | ~ s__subclass(X1233,X1234)
      | ~ s__instance(X1233,s__SetOrClass)
      | ~ s__instance(X1234,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_11,negated_conjecture,
    ~ ! [X1223] :
        ( s__instance(X1223,s__Class32_2)
       => s__instance(X1223,s__Class32_1) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(c_0_12,plain,
    ! [X1243,X1244] :
      ( X1243 = X1244
      | ~ s__subclass(X1244,X1243)
      | ~ s__subclass(X1243,X1244)
      | ~ s__instance(X1243,s__SetOrClass)
      | ~ s__instance(X1244,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_1443])])]) ).

cnf(c_0_13,plain,
    ( ~ s__subclass(X2,X1)
    | ~ s__subclass(X3,X2)
    | ~ s__instance(X3,s__SetOrClass)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | s__subclass(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( ~ s__subclass(X2,X1)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( ~ s__subclass(X1,X2)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( ~ s__instance(X3,X2)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | s__instance(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,negated_conjecture,
    ( ~ s__instance(esk1_0,s__Class32_1)
    & s__instance(esk1_0,s__Class32_2) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_18,plain,
    ( ~ s__subclass(X1,X2)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( ~ s__subclass(X3,X2)
    | ~ s__subclass(X1,X3)
    | s__subclass(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_15]) ).

cnf(c_0_20,plain,
    s__subclass(s__Class32_1,s__Class32_2),
    inference(split_conjunct,[status(thm)],[local_7]) ).

cnf(c_0_21,plain,
    ( ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2)
    | s__instance(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_14]),c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    s__instance(esk1_0,s__Class32_2),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    ( ~ s__subclass(X1,X2)
    | ~ s__subclass(X2,X1)
    | X1 = X2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_18,c_0_15]),c_0_15]) ).

cnf(c_0_24,plain,
    s__subclass(s__Class32_3,s__Class32_1),
    inference(split_conjunct,[status(thm)],[local_9]) ).

cnf(c_0_25,plain,
    ( ~ s__subclass(s__Class32_2,X1)
    | s__subclass(s__Class32_1,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_26,plain,
    s__subclass(s__Class32_2,s__Class32_3),
    inference(split_conjunct,[status(thm)],[local_8]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ s__subclass(s__Class32_2,X1)
    | s__instance(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( ~ s__subclass(s__Class32_1,s__Class32_3)
    | s__Class32_3 = s__Class32_1 ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    s__subclass(s__Class32_1,s__Class32_3),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    s__instance(esk1_0,s__Class32_3),
    inference(spm,[status(thm)],[c_0_27,c_0_26]) ).

cnf(c_0_31,plain,
    s__Class32_3 = s__Class32_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).

cnf(c_0_32,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR101+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37  % Computer : n002.cluster.edu
% 0.09/0.37  % Model    : x86_64 x86_64
% 0.09/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37  % Memory   : 8046.5625MB
% 0.09/0.37  % OS       : Linux 6.8.0-71-generic
% 0.09/0.37  % CPULimit : 300
% 0.09/0.37  % WCLimit  : 300
% 0.09/0.37  % DateTime : Mon Sep 21 15:01:02 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.41  Running first-order theorem proving
% 0.14/0.41  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
% 0.98/1.44  % Version: 3.5.1
% 0.98/1.44  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.98/1.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.98/1.44  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.98/1.44  % Starting new_bool_3 with 300s (1) cores
% 0.98/1.44  % Starting new_bool_1 with 300s (1) cores
% 0.98/1.44  % Starting sh5l with 300s (1) cores
% 0.98/1.44  % G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 3552739 completed with status 0
% 0.98/1.44  % Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 0.98/1.44  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.98/1.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.98/1.44  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.98/1.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.98/1.44  % SinE strategy is gf200_h_gu_R03_F100_L20000
% 0.98/1.44  % Search class: FHUSS-FFMM32-MFFFFFNN
% 0.98/1.44  % partial match(1): FHUNS-FFMM32-MFFFFFNN
% 0.98/1.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.98/1.44  % Starting SubtermCWHack with 136s (1) cores
% 0.98/1.44  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 0.98/1.44  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 0.98/1.44  % Starting new_bool_3 with 136s (1) cores
% 0.98/1.44  % Starting new_bool_1 with 136s (1) cores
% 0.98/1.44  % new_bool_3 with pid 3552746 completed with status 0
% 0.98/1.44  % Result found by new_bool_3
% 0.98/1.44  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.98/1.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.98/1.44  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.98/1.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.98/1.44  % SinE strategy is gf200_h_gu_R03_F100_L20000
% 0.98/1.44  % Search class: FHUSS-FFMM32-MFFFFFNN
% 0.98/1.44  % partial match(1): FHUNS-FFMM32-MFFFFFNN
% 0.98/1.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.98/1.44  % Starting SubtermCWHack with 136s (1) cores
% 0.98/1.44  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 0.98/1.44  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S3S with 136s (1) cores
% 0.98/1.44  % Starting new_bool_3 with 136s (1) cores
% 0.98/1.44  % Preprocessing time       : 0.006 s
% 0.98/1.44  % Presaturation interreduction done
% 0.98/1.44  
% 0.98/1.44  % Proof found!
% 0.98/1.44  % SZS status Theorem
% 0.98/1.44  % SZS output start CNFRefutation
% See solution above
% 0.98/1.44  % Parsed axioms                        : 37991
% 0.98/1.44  % Removed by relevancy pruning/SinE    : 37875
% 0.98/1.44  % Initial clauses                      : 121
% 0.98/1.44  % Removed in clause preprocessing      : 7
% 0.98/1.44  % Initial clauses in saturation        : 114
% 0.98/1.44  % Processed clauses                    : 478
% 0.98/1.44  % ...of these trivial                  : 120
% 0.98/1.44  % ...subsumed                          : 0
% 0.98/1.44  % ...remaining for further processing  : 358
% 0.98/1.44  % Other redundant clauses eliminated   : 0
% 0.98/1.44  % Clauses deleted for lack of memory   : 0
% 0.98/1.44  % Backward-subsumed                    : 0
% 0.98/1.44  % Backward-rewritten                   : 14
% 0.98/1.44  % Generated clauses                    : 698
% 0.98/1.44  % ...of the previous two non-redundant : 632
% 0.98/1.44  % ...aggressively subsumed             : 0
% 0.98/1.44  % Contextual simplify-reflections      : 12
% 0.98/1.44  % Paramodulations                      : 698
% 0.98/1.44  % Factorizations                       : 0
% 0.98/1.44  % NegExts                              : 0
% 0.98/1.44  % Equation resolutions                 : 0
% 0.98/1.44  % Disequality decompositions           : 0
% 0.98/1.44  % Total rewrite steps                  : 232
% 0.98/1.44  % ...of those cached                   : 166
% 0.98/1.44  % Propositional unsat checks           : 0
% 0.98/1.44  %    Propositional check models        : 0
% 0.98/1.44  %    Propositional check unsatisfiable : 0
% 0.98/1.44  %    Propositional clauses             : 0
% 0.98/1.44  %    Propositional clauses after purity: 0
% 0.98/1.44  %    Propositional unsat core size     : 0
% 0.98/1.44  %    Propositional preprocessing time  : 0.000
% 0.98/1.44  %    Propositional encoding time       : 0.000
% 0.98/1.44  %    Propositional solver time         : 0.000
% 0.98/1.44  %    Success case prop preproc time    : 0.000
% 0.98/1.44  %    Success case prop encoding time   : 0.000
% 0.98/1.44  %    Success case prop solver time     : 0.000
% 0.98/1.44  % Current number of processed clauses  : 235
% 0.98/1.44  %    Positive orientable unit clauses  : 142
% 0.98/1.44  %    Positive unorientable unit clauses: 0
% 0.98/1.44  %    Negative unit clauses             : 1
% 0.98/1.44  %    Non-unit-clauses                  : 92
% 0.98/1.44  % Current number of unprocessed clauses: 375
% 0.98/1.44  % ...number of literals in the above   : 543
% 0.98/1.44  % Current number of archived formulas  : 0
% 0.98/1.44  % Current number of archived clauses   : 123
% 0.98/1.44  % Clause-clause subsumption calls (NU) : 279
% 0.98/1.44  % Rec. Clause-clause subsumption calls : 249
% 0.98/1.44  % Non-unit clause-clause subsumptions  : 12
% 0.98/1.44  % Unit Clause-clause subsumption calls : 55
% 0.98/1.44  % Rewrite failures with RHS unbound    : 0
% 0.98/1.44  % BW rewrite match attempts            : 6
% 0.98/1.44  % BW rewrite match successes           : 3
% 0.98/1.44  % Condensation attempts                : 0
% 0.98/1.44  % Condensation successes               : 0
% 0.98/1.44  % Termbank termtop insertions          : 258625
% 0.98/1.44  % Search garbage collected termcells   : 125670
% 0.98/1.44  
% 0.98/1.44  % -------------------------------------------------
% 0.98/1.44  % User time                : 0.098 s
% 0.98/1.44  % System time              : 0.059 s
% 0.98/1.44  % Total time               : 0.157 s
% 0.98/1.44  % Maximum resident set size: 52072 pages
% 0.98/1.44  
% 0.98/1.44  % -------------------------------------------------
% 0.98/1.44  % User time                : 0.962 s
% 0.98/1.44  % System time              : 0.185 s
% 0.98/1.44  % Total time               : 1.146 s
% 0.98/1.44  % Maximum resident set size: 31488 pages
% 0.98/1.44  % E exiting
%------------------------------------------------------------------------------