TSTP Solution File: GRP699-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 17:42:57 EDT 2023

% Result   : Unsatisfiable 0.16s 0.45s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   3 RR)
%            Number of literals    :   17 (  16 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c08,axiom,
    mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2),
    file('/export/starexec/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p',c08) ).

cnf(c06,axiom,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p',c06) ).

cnf(c01,axiom,
    mult(X1,ld(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p',c01) ).

cnf(c02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p',c02) ).

cnf(goals,negated_conjecture,
    mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
    file('/export/starexec/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p',goals) ).

cnf(c_0_5,axiom,
    mult(mult(X1,X2),mult(X2,mult(X3,X2))) = mult(mult(X1,mult(X2,mult(X2,X3))),X2),
    c08 ).

cnf(c_0_6,axiom,
    mult(unit,X1) = X1,
    c06 ).

cnf(c_0_7,plain,
    mult(mult(X1,mult(X1,X2)),X1) = mult(X1,mult(X1,mult(X2,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).

cnf(c_0_8,axiom,
    mult(X1,ld(X1,X2)) = X2,
    c01 ).

cnf(c_0_9,axiom,
    ld(X1,mult(X1,X2)) = X2,
    c02 ).

cnf(c_0_10,plain,
    mult(X1,mult(X1,mult(ld(X1,X2),X1))) = mult(mult(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ld(X1,mult(mult(X1,X2),X1)) = mult(X1,mult(ld(X1,X2),X1)),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,plain,
    mult(mult(X1,X2),mult(X2,mult(ld(X2,X3),X2))) = mult(mult(X1,mult(X2,X3)),X2),
    inference(spm,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_13,plain,
    mult(X1,mult(ld(X1,ld(X1,X2)),X1)) = ld(X1,mult(X2,X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    mult(mult(a,b),c) != mult(mult(a,c),ld(c,mult(b,c))),
    goals ).

cnf(c_0_15,plain,
    mult(mult(X1,X2),ld(X2,mult(X3,X2))) = mult(mult(X1,X3),X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_8]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem    : GRP699-1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n010.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 02:46:05 EDT 2023
% 0.16/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.lPljNsm8np/E---3.1_24930.p
% 0.16/0.45  # Version: 3.1pre001
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # sh5l with pid 25011 completed with status 0
% 0.16/0.45  # Result found by sh5l
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.16/0.45  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.16/0.45  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 25018 completed with status 0
% 0.16/0.45  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.16/0.45  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45  # Starting sh5l with 300s (1) cores
% 0.16/0.45  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.16/0.45  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.16/0.45  # Preprocessing time       : 0.001 s
% 0.16/0.45  # Presaturation interreduction done
% 0.16/0.45  
% 0.16/0.45  # Proof found!
% 0.16/0.45  # SZS status Unsatisfiable
% 0.16/0.45  # SZS output start CNFRefutation
% See solution above
% 0.16/0.45  # Parsed axioms                        : 9
% 0.16/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.45  # Initial clauses                      : 9
% 0.16/0.45  # Removed in clause preprocessing      : 0
% 0.16/0.45  # Initial clauses in saturation        : 9
% 0.16/0.45  # Processed clauses                    : 82
% 0.16/0.45  # ...of these trivial                  : 13
% 0.16/0.45  # ...subsumed                          : 0
% 0.16/0.45  # ...remaining for further processing  : 69
% 0.16/0.45  # Other redundant clauses eliminated   : 0
% 0.16/0.45  # Clauses deleted for lack of memory   : 0
% 0.16/0.45  # Backward-subsumed                    : 0
% 0.16/0.45  # Backward-rewritten                   : 11
% 0.16/0.45  # Generated clauses                    : 1490
% 0.16/0.45  # ...of the previous two non-redundant : 1036
% 0.16/0.45  # ...aggressively subsumed             : 0
% 0.16/0.45  # Contextual simplify-reflections      : 0
% 0.16/0.45  # Paramodulations                      : 1490
% 0.16/0.45  # Factorizations                       : 0
% 0.16/0.45  # NegExts                              : 0
% 0.16/0.45  # Equation resolutions                 : 0
% 0.16/0.45  # Total rewrite steps                  : 2430
% 0.16/0.45  # Propositional unsat checks           : 0
% 0.16/0.45  #    Propositional check models        : 0
% 0.16/0.45  #    Propositional check unsatisfiable : 0
% 0.16/0.45  #    Propositional clauses             : 0
% 0.16/0.45  #    Propositional clauses after purity: 0
% 0.16/0.45  #    Propositional unsat core size     : 0
% 0.16/0.45  #    Propositional preprocessing time  : 0.000
% 0.16/0.45  #    Propositional encoding time       : 0.000
% 0.16/0.45  #    Propositional solver time         : 0.000
% 0.16/0.45  #    Success case prop preproc time    : 0.000
% 0.16/0.45  #    Success case prop encoding time   : 0.000
% 0.16/0.45  #    Success case prop solver time     : 0.000
% 0.16/0.45  # Current number of processed clauses  : 49
% 0.16/0.45  #    Positive orientable unit clauses  : 49
% 0.16/0.45  #    Positive unorientable unit clauses: 0
% 0.16/0.45  #    Negative unit clauses             : 0
% 0.16/0.45  #    Non-unit-clauses                  : 0
% 0.16/0.45  # Current number of unprocessed clauses: 956
% 0.16/0.45  # ...number of literals in the above   : 956
% 0.16/0.45  # Current number of archived formulas  : 0
% 0.16/0.45  # Current number of archived clauses   : 20
% 0.16/0.45  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.45  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.45  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.45  # Unit Clause-clause subsumption calls : 0
% 0.16/0.45  # Rewrite failures with RHS unbound    : 0
% 0.16/0.45  # BW rewrite match attempts            : 87
% 0.16/0.45  # BW rewrite match successes           : 9
% 0.16/0.45  # Condensation attempts                : 0
% 0.16/0.45  # Condensation successes               : 0
% 0.16/0.45  # Termbank termtop insertions          : 31460
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.024 s
% 0.16/0.45  # System time              : 0.000 s
% 0.16/0.45  # Total time               : 0.024 s
% 0.16/0.45  # Maximum resident set size: 1420 pages
% 0.16/0.45  
% 0.16/0.45  # -------------------------------------------------
% 0.16/0.45  # User time                : 0.024 s
% 0.16/0.45  # System time              : 0.002 s
% 0.16/0.45  # Total time               : 0.026 s
% 0.16/0.45  # Maximum resident set size: 1676 pages
% 0.16/0.45  % E---3.1 exiting
% 0.16/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------