TSTP Solution File: GRP665-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 17:42:40 EDT 2023

% Result   : Unsatisfiable 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   5 RR)
%            Number of literals    :   17 (  16 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(goal,negated_conjecture,
    mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',goal) ).

cnf(f09,axiom,
    mult(op_c,X1) = mult(X1,op_c),
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',f09) ).

cnf(f07,axiom,
    mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',f07) ).

cnf(f04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',f04) ).

cnf(f08,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',f08) ).

cnf(f02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.ftJMNouHZG/E---3.1_3369.p',f02) ).

cnf(c_0_6,negated_conjecture,
    mult(op_c,mult(x0,x1)) != mult(mult(op_c,x0),x1),
    goal ).

cnf(c_0_7,axiom,
    mult(op_c,X1) = mult(X1,op_c),
    f09 ).

cnf(c_0_8,axiom,
    mult(X1,mult(X2,X3)) = mult(rd(mult(X1,X2),X1),mult(X1,X3)),
    f07 ).

cnf(c_0_9,axiom,
    rd(mult(X1,X2),X2) = X1,
    f04 ).

cnf(c_0_10,negated_conjecture,
    mult(mult(x0,op_c),x1) != mult(op_c,mult(x0,x1)),
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,plain,
    mult(X1,mult(op_c,X2)) = mult(op_c,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9]) ).

cnf(c_0_12,axiom,
    mult(mult(X1,X2),X3) = mult(mult(X1,X3),ld(X3,mult(X2,X3))),
    f08 ).

cnf(c_0_13,axiom,
    ld(X1,mult(X1,X2)) = X2,
    f02 ).

cnf(c_0_14,negated_conjecture,
    mult(mult(x0,op_c),x1) != mult(x0,mult(x1,op_c)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_7]) ).

cnf(c_0_15,plain,
    mult(mult(X1,op_c),X2) = mult(op_c,mult(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_7]),c_0_13]),c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_11]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : GRP665-10 : TPTP v8.1.2. Released v8.1.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n009.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 02:22:44 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  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.ftJMNouHZG/E---3.1_3369.p
% 0.20/0.47  # Version: 3.1pre001
% 0.20/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.47  # Starting sh5l with 300s (1) cores
% 0.20/0.47  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 3496 completed with status 0
% 0.20/0.47  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47  # No SInE strategy applied
% 0.20/0.47  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.20/0.47  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.47  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.20/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.47  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.47  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.47  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.20/0.47  # U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 3505 completed with status 0
% 0.20/0.47  # Result found by U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.47  # No SInE strategy applied
% 0.20/0.47  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.20/0.47  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.47  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 0.20/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.47  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.47  # Preprocessing time       : 0.001 s
% 0.20/0.47  # Presaturation interreduction done
% 0.20/0.47  
% 0.20/0.47  # Proof found!
% 0.20/0.47  # SZS status Unsatisfiable
% 0.20/0.47  # SZS output start CNFRefutation
% See solution above
% 0.20/0.47  # Parsed axioms                        : 10
% 0.20/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.47  # Initial clauses                      : 10
% 0.20/0.47  # Removed in clause preprocessing      : 0
% 0.20/0.47  # Initial clauses in saturation        : 10
% 0.20/0.47  # Processed clauses                    : 53
% 0.20/0.47  # ...of these trivial                  : 9
% 0.20/0.47  # ...subsumed                          : 6
% 0.20/0.47  # ...remaining for further processing  : 38
% 0.20/0.47  # Other redundant clauses eliminated   : 0
% 0.20/0.47  # Clauses deleted for lack of memory   : 0
% 0.20/0.47  # Backward-subsumed                    : 0
% 0.20/0.47  # Backward-rewritten                   : 5
% 0.20/0.47  # Generated clauses                    : 203
% 0.20/0.47  # ...of the previous two non-redundant : 117
% 0.20/0.47  # ...aggressively subsumed             : 0
% 0.20/0.47  # Contextual simplify-reflections      : 0
% 0.20/0.47  # Paramodulations                      : 203
% 0.20/0.47  # Factorizations                       : 0
% 0.20/0.47  # NegExts                              : 0
% 0.20/0.47  # Equation resolutions                 : 0
% 0.20/0.47  # Total rewrite steps                  : 145
% 0.20/0.47  # Propositional unsat checks           : 0
% 0.20/0.47  #    Propositional check models        : 0
% 0.20/0.47  #    Propositional check unsatisfiable : 0
% 0.20/0.47  #    Propositional clauses             : 0
% 0.20/0.47  #    Propositional clauses after purity: 0
% 0.20/0.47  #    Propositional unsat core size     : 0
% 0.20/0.47  #    Propositional preprocessing time  : 0.000
% 0.20/0.47  #    Propositional encoding time       : 0.000
% 0.20/0.47  #    Propositional solver time         : 0.000
% 0.20/0.47  #    Success case prop preproc time    : 0.000
% 0.20/0.47  #    Success case prop encoding time   : 0.000
% 0.20/0.47  #    Success case prop solver time     : 0.000
% 0.20/0.47  # Current number of processed clauses  : 23
% 0.20/0.47  #    Positive orientable unit clauses  : 21
% 0.20/0.47  #    Positive unorientable unit clauses: 2
% 0.20/0.47  #    Negative unit clauses             : 0
% 0.20/0.47  #    Non-unit-clauses                  : 0
% 0.20/0.47  # Current number of unprocessed clauses: 78
% 0.20/0.47  # ...number of literals in the above   : 78
% 0.20/0.47  # Current number of archived formulas  : 0
% 0.20/0.47  # Current number of archived clauses   : 15
% 0.20/0.47  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.47  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.47  # Unit Clause-clause subsumption calls : 0
% 0.20/0.47  # Rewrite failures with RHS unbound    : 0
% 0.20/0.47  # BW rewrite match attempts            : 10
% 0.20/0.47  # BW rewrite match successes           : 4
% 0.20/0.47  # Condensation attempts                : 0
% 0.20/0.47  # Condensation successes               : 0
% 0.20/0.47  # Termbank termtop insertions          : 1868
% 0.20/0.47  
% 0.20/0.47  # -------------------------------------------------
% 0.20/0.47  # User time                : 0.005 s
% 0.20/0.47  # System time              : 0.001 s
% 0.20/0.47  # Total time               : 0.006 s
% 0.20/0.47  # Maximum resident set size: 1516 pages
% 0.20/0.47  
% 0.20/0.47  # -------------------------------------------------
% 0.20/0.47  # User time                : 0.025 s
% 0.20/0.47  # System time              : 0.006 s
% 0.20/0.47  # Total time               : 0.031 s
% 0.20/0.47  # Maximum resident set size: 1672 pages
% 0.20/0.47  % E---3.1 exiting
% 0.20/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------