TSTP Solution File: ANA038-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 17:16:27 EDT 2023

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  10 unt;   0 nHn;  25 RR)
%            Number of literals    :   55 (   0 equ;  35 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   29 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).

cnf(cls_conjecture_5,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_conjecture_5) ).

cnf(cls_conjecture_8,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_conjecture_8) ).

cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
    ( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_0,X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

cnf(cls_conjecture_3,negated_conjecture,
    c_lessequals(c_0,v_g(v_xa),t_b),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_conjecture_3) ).

cnf(cls_Orderings_Ole__maxI2_0,axiom,
    ( c_lessequals(X2,c_Orderings_Omax(X3,X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',cls_Orderings_Ole__maxI2_0) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',clsrel_Ring__and__Field_Oordered__idom_42) ).

cnf(tfree_tcs,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',tfree_tcs) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',clsrel_Ring__and__Field_Oordered__idom_44) ).

cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.7QucURxSPK/E---3.1_6350.p',clsrel_Ring__and__Field_Oordered__idom_33) ).

cnf(c_0_10,axiom,
    ( c_lessequals(X4,X3,X1)
    | ~ class_Orderings_Oorder(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(X4,X2,X1) ),
    cls_Orderings_Oorder__class_Oorder__trans_0 ).

cnf(c_0_11,negated_conjecture,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    cls_conjecture_5 ).

cnf(c_0_12,negated_conjecture,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    cls_conjecture_8 ).

cnf(c_0_13,negated_conjecture,
    ( c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X1,t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),X1,t_b) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(c_times(v_ca,v_g(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,axiom,
    ( c_lessequals(c_times(X2,X4,X1),c_times(X3,X4,X1),X1)
    | ~ class_Ring__and__Field_Opordered__semiring(X1)
    | ~ c_lessequals(X2,X3,X1)
    | ~ c_lessequals(c_0,X4,X1) ),
    cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0 ).

cnf(c_0_16,negated_conjecture,
    c_lessequals(c_0,v_g(v_xa),t_b),
    cls_conjecture_3 ).

cnf(c_0_17,negated_conjecture,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_18,axiom,
    ( c_lessequals(X2,c_Orderings_Omax(X3,X2,X1),X1)
    | ~ class_Orderings_Olinorder(X1) ),
    cls_Orderings_Ole__maxI2_0 ).

cnf(c_0_19,negated_conjecture,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | ~ class_Orderings_Oorder(t_b)
    | ~ class_Orderings_Olinorder(t_b) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,axiom,
    ( class_Ring__and__Field_Opordered__semiring(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_42 ).

cnf(c_0_21,negated_conjecture,
    class_Ring__and__Field_Oordered__idom(t_b),
    tfree_tcs ).

cnf(c_0_22,negated_conjecture,
    ( ~ class_Orderings_Oorder(t_b)
    | ~ class_Orderings_Olinorder(t_b) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_23,axiom,
    ( class_Orderings_Oorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_44 ).

cnf(c_0_24,negated_conjecture,
    ~ class_Orderings_Olinorder(t_b),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_21])]) ).

cnf(c_0_25,axiom,
    ( class_Orderings_Olinorder(X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    clsrel_Ring__and__Field_Oordered__idom_33 ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 2400
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Oct  2 15:10:28 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.7QucURxSPK/E---3.1_6350.p
% 0.19/0.48  # Version: 3.1pre001
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 6453 completed with status 0
% 0.19/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FHUNF-FFSS32-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.19/0.48  # Starting sh5l with 136s (1) cores
% 0.19/0.48  # SAT001_MinMin_p005000_rr_RG with pid 6457 completed with status 0
% 0.19/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: FHUNF-FFSS32-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Unsatisfiable
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 10
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 10
% 0.19/0.48  # Removed in clause preprocessing      : 0
% 0.19/0.48  # Initial clauses in saturation        : 10
% 0.19/0.48  # Processed clauses                    : 31
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 0
% 0.19/0.48  # ...remaining for further processing  : 31
% 0.19/0.48  # Other redundant clauses eliminated   : 0
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 4
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 17
% 0.19/0.48  # ...of the previous two non-redundant : 16
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 17
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 0
% 0.19/0.48  # Total rewrite steps                  : 4
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 17
% 0.19/0.48  #    Positive orientable unit clauses  : 3
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 2
% 0.19/0.48  #    Non-unit-clauses                  : 12
% 0.19/0.48  # Current number of unprocessed clauses: 5
% 0.19/0.48  # ...number of literals in the above   : 22
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 14
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 71
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 43
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 3
% 0.19/0.48  # Unit Clause-clause subsumption calls : 6
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 0
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 589
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.003 s
% 0.19/0.48  # System time              : 0.003 s
% 0.19/0.48  # Total time               : 0.006 s
% 0.19/0.48  # Maximum resident set size: 1636 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.018 s
% 0.19/0.48  # System time              : 0.007 s
% 0.19/0.48  # Total time               : 0.026 s
% 0.19/0.48  # Maximum resident set size: 1680 pages
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------