TSTP Solution File: GRP715-10 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 17:50:21 EDT 2023

% Result   : Unsatisfiable 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   20 (  20 unt;   0 nHn;   8 RR)
%            Number of literals    :   20 (  19 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f07,axiom,
    mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2),
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f07) ).

cnf(f06,axiom,
    mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f06) ).

cnf(f11,axiom,
    mult(op_b,op_a) = unit,
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f11) ).

cnf(f09,axiom,
    mult(unit,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f09) ).

cnf(f10,axiom,
    mult(op_a,op_b) = unit,
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f10) ).

cnf(f08,axiom,
    mult(X1,unit) = X1,
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',f08) ).

cnf(goal,negated_conjecture,
    mult(mult(x0,op_a),op_b) != x0,
    file('/export/starexec/sandbox/tmp/tmp.zu0m60pz1P/E---3.1_10170.p',goal) ).

cnf(c_0_7,axiom,
    mult(X1,mult(X2,X2)) = mult(mult(X1,X2),X2),
    f07 ).

cnf(c_0_8,axiom,
    mult(mult(mult(X1,X2),X3),X2) = mult(X1,mult(mult(X2,X3),X2)),
    f06 ).

cnf(c_0_9,plain,
    mult(mult(X1,mult(mult(X2,X3),X2)),X2) = mult(mult(mult(X1,X2),X3),mult(X2,X2)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    mult(op_b,op_a) = unit,
    f11 ).

cnf(c_0_11,axiom,
    mult(unit,X1) = X1,
    f09 ).

cnf(c_0_12,axiom,
    mult(op_a,op_b) = unit,
    f10 ).

cnf(c_0_13,plain,
    mult(mult(mult(X1,op_b),op_a),mult(op_b,op_b)) = mult(X1,mult(op_b,op_b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_7]) ).

cnf(c_0_14,plain,
    mult(op_a,mult(op_b,op_b)) = op_b,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_12]),c_0_11]) ).

cnf(c_0_15,axiom,
    mult(X1,unit) = X1,
    f08 ).

cnf(c_0_16,plain,
    mult(mult(X1,mult(op_b,op_b)),op_a) = mult(X1,op_b),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_14]),c_0_10]),c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    mult(mult(x0,op_a),op_b) != x0,
    goal ).

cnf(c_0_18,plain,
    mult(mult(X1,op_a),op_b) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_14]),c_0_10]),c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP715-10 : TPTP v8.1.2. Released v8.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Oct  3 02:23:56 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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.zu0m60pz1P/E---3.1_10170.p
% 0.21/0.50  # Version: 3.1pre001
% 0.21/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # new_bool_1 with pid 10250 completed with status 0
% 0.21/0.50  # Result found by new_bool_1
% 0.21/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.21/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.21/0.50  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 10256 completed with status 0
% 0.21/0.50  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.21/0.50  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.21/0.50  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.001 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Unsatisfiable
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 12
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 5
% 0.21/0.50  # Initial clauses                      : 7
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 7
% 0.21/0.50  # Processed clauses                    : 65
% 0.21/0.50  # ...of these trivial                  : 5
% 0.21/0.50  # ...subsumed                          : 0
% 0.21/0.50  # ...remaining for further processing  : 60
% 0.21/0.50  # Other redundant clauses eliminated   : 0
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 8
% 0.21/0.50  # Generated clauses                    : 671
% 0.21/0.50  # ...of the previous two non-redundant : 456
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 671
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 0
% 0.21/0.50  # Total rewrite steps                  : 1060
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 45
% 0.21/0.50  #    Positive orientable unit clauses  : 45
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 0
% 0.21/0.50  #    Non-unit-clauses                  : 0
% 0.21/0.50  # Current number of unprocessed clauses: 403
% 0.21/0.50  # ...number of literals in the above   : 403
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 15
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.50  # Unit Clause-clause subsumption calls : 0
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 59
% 0.21/0.50  # BW rewrite match successes           : 9
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 14643
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.012 s
% 0.21/0.50  # System time              : 0.001 s
% 0.21/0.50  # Total time               : 0.014 s
% 0.21/0.50  # Maximum resident set size: 1616 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.013 s
% 0.21/0.50  # System time              : 0.004 s
% 0.21/0.50  # Total time               : 0.017 s
% 0.21/0.50  # Maximum resident set size: 1688 pages
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------