TSTP Solution File: SWW204+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:10:45 EDT 2023

% Result   : Theorem 1.25s 0.89s
% Output   : CNFRefutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   39 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  12   ~;  13   |;   0   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   25 (   1 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',conj_0) ).

fof(fact_real__le__linear,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8)) ),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',fact_real__le__linear) ).

fof(fact_real__le__antisym,axiom,
    ! [X7,X8] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8))
       => X8 = X7 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',fact_real__le__antisym) ).

fof(fact_real__le__trans,axiom,
    ! [X9,X10,X11] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X10))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
       => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X9)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',fact_real__le__trans) ).

fof(fact__0960_A_060_061_Acmod_A_Is_A0_J_096,axiom,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',fact__0960_A_060_061_Acmod_A_Is_A0_J_096) ).

fof(fact_assms,axiom,
    ! [X6] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X6))),v_r)),
    file('/export/starexec/sandbox/tmp/tmp.xRGYqYdtIG/E---3.1_27004.p',fact_assms) ).

fof(c_0_6,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

fof(c_0_7,plain,
    ! [X126,X127] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X127),X126))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X126),X127)) ),
    inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).

fof(c_0_8,plain,
    ! [X131,X132] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X132),X131))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X131),X132))
      | X132 = X131 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])]) ).

fof(c_0_9,plain,
    ! [X128,X129,X130] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X129))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X129),X128))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X128)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])]) ).

cnf(c_0_10,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
    inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_A_Is_A0_J_096]) ).

cnf(c_0_14,plain,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_16,plain,
    ! [X124] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X124))),v_r)),
    inference(variable_rename,[status(thm)],[fact_assms]) ).

cnf(c_0_17,plain,
    ( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
    | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : SWW204+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n013.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Mon Oct  2 22:03:14 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.23/0.64  Running first-order model finding
% 0.23/0.64  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.xRGYqYdtIG/E---3.1_27004.p
% 1.25/0.89  # Version: 3.1pre001
% 1.25/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.25/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.25/0.89  # Starting new_bool_3 with 300s (1) cores
% 1.25/0.89  # Starting new_bool_1 with 300s (1) cores
% 1.25/0.89  # Starting sh5l with 300s (1) cores
% 1.25/0.89  # new_bool_1 with pid 27083 completed with status 0
% 1.25/0.89  # Result found by new_bool_1
% 1.25/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.25/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.25/0.89  # Starting new_bool_3 with 300s (1) cores
% 1.25/0.89  # Starting new_bool_1 with 300s (1) cores
% 1.25/0.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.25/0.89  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.25/0.89  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.25/0.89  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.25/0.89  # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 27085 completed with status 0
% 1.25/0.89  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 1.25/0.89  # Preprocessing class: FMLMSMSMSSSNFFN.
% 1.25/0.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.25/0.89  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.25/0.89  # Starting new_bool_3 with 300s (1) cores
% 1.25/0.89  # Starting new_bool_1 with 300s (1) cores
% 1.25/0.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.25/0.89  # Search class: FGHSM-FSLM32-DFFFFFNN
% 1.25/0.89  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1.25/0.89  # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 1.25/0.89  # Preprocessing time       : 0.011 s
% 1.25/0.89  
% 1.25/0.89  # Proof found!
% 1.25/0.89  # SZS status Theorem
% 1.25/0.89  # SZS output start CNFRefutation
% See solution above
% 1.25/0.89  # Parsed axioms                        : 1264
% 1.25/0.89  # Removed by relevancy pruning/SinE    : 984
% 1.25/0.89  # Initial clauses                      : 416
% 1.25/0.89  # Removed in clause preprocessing      : 18
% 1.25/0.89  # Initial clauses in saturation        : 398
% 1.25/0.89  # Processed clauses                    : 411
% 1.25/0.89  # ...of these trivial                  : 6
% 1.25/0.89  # ...subsumed                          : 55
% 1.25/0.89  # ...remaining for further processing  : 350
% 1.25/0.89  # Other redundant clauses eliminated   : 63
% 1.25/0.89  # Clauses deleted for lack of memory   : 0
% 1.25/0.89  # Backward-subsumed                    : 3
% 1.25/0.89  # Backward-rewritten                   : 2
% 1.25/0.89  # Generated clauses                    : 6495
% 1.25/0.89  # ...of the previous two non-redundant : 5755
% 1.25/0.89  # ...aggressively subsumed             : 0
% 1.25/0.89  # Contextual simplify-reflections      : 1
% 1.25/0.89  # Paramodulations                      : 6407
% 1.25/0.89  # Factorizations                       : 6
% 1.25/0.89  # NegExts                              : 0
% 1.25/0.89  # Equation resolutions                 : 82
% 1.25/0.89  # Total rewrite steps                  : 2211
% 1.25/0.89  # Propositional unsat checks           : 0
% 1.25/0.89  #    Propositional check models        : 0
% 1.25/0.89  #    Propositional check unsatisfiable : 0
% 1.25/0.89  #    Propositional clauses             : 0
% 1.25/0.89  #    Propositional clauses after purity: 0
% 1.25/0.89  #    Propositional unsat core size     : 0
% 1.25/0.89  #    Propositional preprocessing time  : 0.000
% 1.25/0.89  #    Propositional encoding time       : 0.000
% 1.25/0.89  #    Propositional solver time         : 0.000
% 1.25/0.89  #    Success case prop preproc time    : 0.000
% 1.25/0.89  #    Success case prop encoding time   : 0.000
% 1.25/0.89  #    Success case prop solver time     : 0.000
% 1.25/0.89  # Current number of processed clauses  : 334
% 1.25/0.89  #    Positive orientable unit clauses  : 81
% 1.25/0.89  #    Positive unorientable unit clauses: 5
% 1.25/0.89  #    Negative unit clauses             : 12
% 1.25/0.89  #    Non-unit-clauses                  : 236
% 1.25/0.89  # Current number of unprocessed clauses: 5732
% 1.25/0.89  # ...number of literals in the above   : 16592
% 1.25/0.89  # Current number of archived formulas  : 0
% 1.25/0.89  # Current number of archived clauses   : 5
% 1.25/0.89  # Clause-clause subsumption calls (NU) : 3403
% 1.25/0.89  # Rec. Clause-clause subsumption calls : 3239
% 1.25/0.89  # Non-unit clause-clause subsumptions  : 55
% 1.25/0.89  # Unit Clause-clause subsumption calls : 353
% 1.25/0.89  # Rewrite failures with RHS unbound    : 0
% 1.25/0.89  # BW rewrite match attempts            : 389
% 1.25/0.89  # BW rewrite match successes           : 34
% 1.25/0.89  # Condensation attempts                : 0
% 1.25/0.89  # Condensation successes               : 0
% 1.25/0.89  # Termbank termtop insertions          : 217203
% 1.25/0.89  
% 1.25/0.89  # -------------------------------------------------
% 1.25/0.89  # User time                : 0.186 s
% 1.25/0.89  # System time              : 0.018 s
% 1.25/0.89  # Total time               : 0.204 s
% 1.25/0.89  # Maximum resident set size: 4096 pages
% 1.25/0.89  
% 1.25/0.89  # -------------------------------------------------
% 1.25/0.89  # User time                : 0.213 s
% 1.25/0.89  # System time              : 0.020 s
% 1.25/0.89  # Total time               : 0.233 s
% 1.25/0.89  # Maximum resident set size: 3240 pages
% 1.25/0.89  % E---3.1 exiting
%------------------------------------------------------------------------------