TSTP Solution File: ALG339-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : ALG339-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 : Mon May 20 18:13:06 EDT 2024

% Result   : Unsatisfiable 1.76s 0.71s
% Output   : CNFRefutation 1.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (   5 unt;   0 nHn;  19 RR)
%            Number of literals    :   47 (   0 equ;  33 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_real__lbound__gt__zero_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_0) ).

cnf(cls_real__lbound__gt__zero_2,axiom,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_2) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_real__lbound__gt__zero_1,axiom,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__lbound__gt__zero_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(c_0_6,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_conjecture_2]) ).

cnf(c_0_7,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_0]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(X1,v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_6 ).

cnf(c_0_9,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_7 ).

cnf(c_0_10,plain,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_2]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),v_d2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_10 ).

cnf(c_0_13,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d2,tc_RealDef_Oreal),
    cls_conjecture_1 ).

cnf(c_0_14,plain,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__lbound__gt__zero_1]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,v_d2),v_d1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_16,plain,
    ( c_HOL_Oord__class_Oless(c_RealDef_Osko__RealDef__Xreal__lbound__gt__zero__1__1(X1,X2),X1,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    c_0_14 ).

cnf(c_0_17,negated_conjecture,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_d1,tc_RealDef_Oreal),
    cls_conjecture_0 ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ALG339-1 : TPTP v8.2.0. Released v4.1.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 23:41:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 1.76/0.71  # Version: 3.1.0
% 1.76/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.71  # Starting new_bool_3 with 300s (1) cores
% 1.76/0.71  # Starting new_bool_1 with 300s (1) cores
% 1.76/0.71  # Starting sh5l with 300s (1) cores
% 1.76/0.71  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 16778 completed with status 0
% 1.76/0.71  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 1.76/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.71  # No SInE strategy applied
% 1.76/0.71  # Search class: FGHSM-FSLM32-MFFFFFNN
% 1.76/0.71  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.71  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 1.76/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.76/0.71  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.76/0.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.76/0.71  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0i with 123s (1) cores
% 1.76/0.71  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 16788 completed with status 0
% 1.76/0.71  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 1.76/0.71  # Preprocessing class: FSLSSMSMSSSNFFN.
% 1.76/0.71  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.76/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1.76/0.71  # No SInE strategy applied
% 1.76/0.71  # Search class: FGHSM-FSLM32-MFFFFFNN
% 1.76/0.71  # Scheduled 12 strats onto 5 cores with 1500 seconds (1500 total)
% 1.76/0.71  # Starting G-E--_303_C18_F1_URBAN_S0Y with 123s (1) cores
% 1.76/0.71  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 1.76/0.71  # Starting U----_100_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_ND_S04AN with 123s (1) cores
% 1.76/0.71  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 123s (1) cores
% 1.76/0.71  # Preprocessing time       : 0.007 s
% 1.76/0.71  # Presaturation interreduction done
% 1.76/0.71  
% 1.76/0.71  # Proof found!
% 1.76/0.71  # SZS status Unsatisfiable
% 1.76/0.71  # SZS output start CNFRefutation
% See solution above
% 1.76/0.71  # Parsed axioms                        : 546
% 1.76/0.71  # Removed by relevancy pruning/SinE    : 0
% 1.76/0.71  # Initial clauses                      : 546
% 1.76/0.71  # Removed in clause preprocessing      : 0
% 1.76/0.71  # Initial clauses in saturation        : 546
% 1.76/0.71  # Processed clauses                    : 1807
% 1.76/0.71  # ...of these trivial                  : 51
% 1.76/0.71  # ...subsumed                          : 553
% 1.76/0.71  # ...remaining for further processing  : 1203
% 1.76/0.71  # Other redundant clauses eliminated   : 34
% 1.76/0.71  # Clauses deleted for lack of memory   : 0
% 1.76/0.71  # Backward-subsumed                    : 3
% 1.76/0.71  # Backward-rewritten                   : 12
% 1.76/0.71  # Generated clauses                    : 8575
% 1.76/0.71  # ...of the previous two non-redundant : 7863
% 1.76/0.71  # ...aggressively subsumed             : 0
% 1.76/0.71  # Contextual simplify-reflections      : 0
% 1.76/0.71  # Paramodulations                      : 8533
% 1.76/0.71  # Factorizations                       : 0
% 1.76/0.71  # NegExts                              : 0
% 1.76/0.71  # Equation resolutions                 : 42
% 1.76/0.71  # Disequality decompositions           : 0
% 1.76/0.71  # Total rewrite steps                  : 6058
% 1.76/0.71  # ...of those cached                   : 5637
% 1.76/0.71  # Propositional unsat checks           : 0
% 1.76/0.71  #    Propositional check models        : 0
% 1.76/0.71  #    Propositional check unsatisfiable : 0
% 1.76/0.71  #    Propositional clauses             : 0
% 1.76/0.71  #    Propositional clauses after purity: 0
% 1.76/0.71  #    Propositional unsat core size     : 0
% 1.76/0.71  #    Propositional preprocessing time  : 0.000
% 1.76/0.71  #    Propositional encoding time       : 0.000
% 1.76/0.71  #    Propositional solver time         : 0.000
% 1.76/0.71  #    Success case prop preproc time    : 0.000
% 1.76/0.71  #    Success case prop encoding time   : 0.000
% 1.76/0.71  #    Success case prop solver time     : 0.000
% 1.76/0.71  # Current number of processed clauses  : 707
% 1.76/0.71  #    Positive orientable unit clauses  : 170
% 1.76/0.71  #    Positive unorientable unit clauses: 3
% 1.76/0.71  #    Negative unit clauses             : 76
% 1.76/0.71  #    Non-unit-clauses                  : 458
% 1.76/0.71  # Current number of unprocessed clauses: 7063
% 1.76/0.71  # ...number of literals in the above   : 25760
% 1.76/0.71  # Current number of archived formulas  : 0
% 1.76/0.71  # Current number of archived clauses   : 496
% 1.76/0.71  # Clause-clause subsumption calls (NU) : 45843
% 1.76/0.71  # Rec. Clause-clause subsumption calls : 20835
% 1.76/0.71  # Non-unit clause-clause subsumptions  : 185
% 1.76/0.71  # Unit Clause-clause subsumption calls : 4103
% 1.76/0.71  # Rewrite failures with RHS unbound    : 0
% 1.76/0.71  # BW rewrite match attempts            : 39
% 1.76/0.71  # BW rewrite match successes           : 26
% 1.76/0.71  # Condensation attempts                : 0
% 1.76/0.71  # Condensation successes               : 0
% 1.76/0.71  # Termbank termtop insertions          : 165755
% 1.76/0.71  # Search garbage collected termcells   : 1026
% 1.76/0.71  
% 1.76/0.71  # -------------------------------------------------
% 1.76/0.71  # User time                : 0.186 s
% 1.76/0.71  # System time              : 0.013 s
% 1.76/0.71  # Total time               : 0.199 s
% 1.76/0.71  # Maximum resident set size: 2760 pages
% 1.76/0.71  
% 1.76/0.71  # -------------------------------------------------
% 1.76/0.71  # User time                : 0.911 s
% 1.76/0.71  # System time              : 0.051 s
% 1.76/0.71  # Total time               : 0.961 s
% 1.76/0.71  # Maximum resident set size: 2064 pages
% 1.76/0.71  % E---3.1 exiting
%------------------------------------------------------------------------------