TSTP Solution File: BOO005-4 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : BOO005-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 17:18:26 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   4 RR)
%            Number of literals    :   18 (  17 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(distributivity1,axiom,
    add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',distributivity1) ).

cnf(additive_inverse1,axiom,
    add(X1,inverse(X1)) = multiplicative_identity,
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',additive_inverse1) ).

cnf(multiplicative_id1,axiom,
    multiply(X1,multiplicative_identity) = X1,
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',multiplicative_id1) ).

cnf(commutativity_of_multiply,axiom,
    multiply(X1,X2) = multiply(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',commutativity_of_multiply) ).

cnf(prove_a_plus_1_is_a,negated_conjecture,
    add(a,multiplicative_identity) != multiplicative_identity,
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',prove_a_plus_1_is_a) ).

cnf(commutativity_of_add,axiom,
    add(X1,X2) = add(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.yRo49XsBtC/E---3.1_11426.p',commutativity_of_add) ).

cnf(c_0_6,axiom,
    add(X1,multiply(X2,X3)) = multiply(add(X1,X2),add(X1,X3)),
    distributivity1 ).

cnf(c_0_7,axiom,
    add(X1,inverse(X1)) = multiplicative_identity,
    additive_inverse1 ).

cnf(c_0_8,axiom,
    multiply(X1,multiplicative_identity) = X1,
    multiplicative_id1 ).

cnf(c_0_9,axiom,
    multiply(X1,X2) = multiply(X2,X1),
    commutativity_of_multiply ).

cnf(c_0_10,plain,
    add(X1,multiply(X2,inverse(X1))) = add(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]) ).

cnf(c_0_11,plain,
    multiply(multiplicative_identity,X1) = X1,
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    add(a,multiplicative_identity) != multiplicative_identity,
    prove_a_plus_1_is_a ).

cnf(c_0_13,axiom,
    add(X1,X2) = add(X2,X1),
    commutativity_of_add ).

cnf(c_0_14,plain,
    add(X1,multiplicative_identity) = multiplicative_identity,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    add(multiplicative_identity,a) != multiplicative_identity,
    inference(rw,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    add(multiplicative_identity,X1) = multiplicative_identity,
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : BOO005-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.11/0.30  % Computer : n008.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 2400
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Mon Oct  2 20:41:58 EDT 2023
% 0.11/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.yRo49XsBtC/E---3.1_11426.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_3 with pid 11504 completed with status 0
% 0.15/0.42  # Result found by new_bool_3
% 0.15/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 11508 completed with status 0
% 0.15/0.42  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FUUPM-FFSF21-SFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 9
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 9
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 9
% 0.15/0.42  # Processed clauses                    : 28
% 0.15/0.42  # ...of these trivial                  : 2
% 0.15/0.42  # ...subsumed                          : 0
% 0.15/0.42  # ...remaining for further processing  : 26
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 2
% 0.15/0.42  # Generated clauses                    : 48
% 0.15/0.42  # ...of the previous two non-redundant : 28
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 48
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Total rewrite steps                  : 36
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 15
% 0.15/0.42  #    Positive orientable unit clauses  : 13
% 0.15/0.42  #    Positive unorientable unit clauses: 2
% 0.15/0.42  #    Negative unit clauses             : 0
% 0.15/0.42  #    Non-unit-clauses                  : 0
% 0.15/0.42  # Current number of unprocessed clauses: 18
% 0.15/0.42  # ...number of literals in the above   : 18
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 11
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.42  # Unit Clause-clause subsumption calls : 0
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 29
% 0.15/0.42  # BW rewrite match successes           : 19
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 434
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.002 s
% 0.15/0.42  # System time              : 0.001 s
% 0.15/0.42  # Total time               : 0.003 s
% 0.15/0.42  # Maximum resident set size: 1420 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.004 s
% 0.15/0.42  # System time              : 0.001 s
% 0.15/0.42  # Total time               : 0.006 s
% 0.15/0.42  # Maximum resident set size: 1676 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------