TSTP Solution File: BOO071-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 17:18:39 EDT 2023

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% 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    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-3 aty)
%            Number of variables   :   61 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2,
    file('/export/starexec/sandbox/tmp/tmp.XhTE0xAHaq/E---3.1_26737.p',single_axiom) ).

cnf(prove_tba_axioms_5,negated_conjecture,
    multiply(inverse(b),b,a) != a,
    file('/export/starexec/sandbox/tmp/tmp.XhTE0xAHaq/E---3.1_26737.p',prove_tba_axioms_5) ).

cnf(c_0_2,axiom,
    multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3)) = X2,
    single_axiom ).

cnf(c_0_3,plain,
    multiply(multiply(X1,inverse(X1),X2),inverse(multiply(multiply(X3,X4,multiply(X5,multiply(X6,X7,X8),X9)),inverse(multiply(multiply(X9,X5,X8),X7,multiply(X9,X5,X6))),multiply(X3,X4,multiply(X10,inverse(X10),X11)))),multiply(X4,X11,X3)) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X4,X5,X6),X7,multiply(X4,X5,X8))),multiply(X5,multiply(X8,X7,X6),X4)) = multiply(X2,multiply(X3,inverse(multiply(X1,X2,X9)),X9),X1),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_5,plain,
    multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),multiply(inverse(X3),X5,X3)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_3]),c_0_2]) ).

cnf(c_0_6,plain,
    multiply(inverse(X1),multiply(X2,inverse(multiply(X1,inverse(X1),X3)),X3),X1) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_4]) ).

cnf(c_0_7,plain,
    multiply(inverse(X1),X2,X1) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_5]),c_0_2]) ).

cnf(c_0_8,plain,
    multiply(X1,inverse(multiply(X2,inverse(X2),X3)),X3) = X1,
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

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

cnf(c_0_10,plain,
    multiply(multiply(X1,inverse(X1),X2),inverse(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5))),X5) = X2,
    inference(rw,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_11,plain,
    multiply(X1,inverse(X2),X2) = X1,
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    multiply(X1,inverse(X1),X2) = X2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_9]),c_0_9]),c_0_11]) ).

cnf(c_0_13,plain,
    inverse(inverse(X1)) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    multiply(inverse(b),b,a) != a,
    prove_tba_axioms_5 ).

cnf(c_0_15,plain,
    multiply(inverse(X1),X1,X2) = X2,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

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
% 0.12/0.13  % Problem    : BOO071-1 : TPTP v8.1.2. Released v2.6.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 2400
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Oct  2 20:34:36 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  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.XhTE0xAHaq/E---3.1_26737.p
% 0.22/0.52  # Version: 3.1pre001
% 0.22/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # new_bool_1 with pid 26882 completed with status 0
% 0.22/0.52  # Result found by new_bool_1
% 0.22/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.52  # Search class: FUUPF-FFSF32-MFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 181s (1) cores
% 0.22/0.52  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 26887 completed with status 0
% 0.22/0.52  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.22/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.52  # Search class: FUUPF-FFSF32-MFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 181s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.001 s
% 0.22/0.52  
% 0.22/0.52  # Proof found!
% 0.22/0.52  # SZS status Unsatisfiable
% 0.22/0.52  # SZS output start CNFRefutation
% See solution above
% 0.22/0.52  # Parsed axioms                        : 2
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.52  # Initial clauses                      : 2
% 0.22/0.52  # Removed in clause preprocessing      : 0
% 0.22/0.52  # Initial clauses in saturation        : 2
% 0.22/0.52  # Processed clauses                    : 31
% 0.22/0.52  # ...of these trivial                  : 5
% 0.22/0.52  # ...subsumed                          : 4
% 0.22/0.52  # ...remaining for further processing  : 22
% 0.22/0.52  # Other redundant clauses eliminated   : 0
% 0.22/0.52  # Clauses deleted for lack of memory   : 0
% 0.22/0.52  # Backward-subsumed                    : 0
% 0.22/0.52  # Backward-rewritten                   : 13
% 0.22/0.52  # Generated clauses                    : 964
% 0.22/0.52  # ...of the previous two non-redundant : 883
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 0
% 0.22/0.52  # Paramodulations                      : 964
% 0.22/0.52  # Factorizations                       : 0
% 0.22/0.52  # NegExts                              : 0
% 0.22/0.52  # Equation resolutions                 : 0
% 0.22/0.52  # Total rewrite steps                  : 174
% 0.22/0.52  # Propositional unsat checks           : 0
% 0.22/0.52  #    Propositional check models        : 0
% 0.22/0.52  #    Propositional check unsatisfiable : 0
% 0.22/0.52  #    Propositional clauses             : 0
% 0.22/0.52  #    Propositional clauses after purity: 0
% 0.22/0.52  #    Propositional unsat core size     : 0
% 0.22/0.52  #    Propositional preprocessing time  : 0.000
% 0.22/0.52  #    Propositional encoding time       : 0.000
% 0.22/0.52  #    Propositional solver time         : 0.000
% 0.22/0.52  #    Success case prop preproc time    : 0.000
% 0.22/0.52  #    Success case prop encoding time   : 0.000
% 0.22/0.52  #    Success case prop solver time     : 0.000
% 0.22/0.52  # Current number of processed clauses  : 9
% 0.22/0.52  #    Positive orientable unit clauses  : 6
% 0.22/0.52  #    Positive unorientable unit clauses: 3
% 0.22/0.52  #    Negative unit clauses             : 0
% 0.22/0.52  #    Non-unit-clauses                  : 0
% 0.22/0.52  # Current number of unprocessed clauses: 847
% 0.22/0.52  # ...number of literals in the above   : 847
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 13
% 0.22/0.52  # Clause-clause subsumption calls (NU) : 0
% 0.22/0.52  # Rec. Clause-clause subsumption calls : 0
% 0.22/0.52  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.52  # Unit Clause-clause subsumption calls : 2
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 76
% 0.22/0.52  # BW rewrite match successes           : 20
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 21464
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.021 s
% 0.22/0.52  # System time              : 0.005 s
% 0.22/0.52  # Total time               : 0.026 s
% 0.22/0.52  # Maximum resident set size: 1600 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.022 s
% 0.22/0.52  # System time              : 0.007 s
% 0.22/0.52  # Total time               : 0.030 s
% 0.22/0.52  # Maximum resident set size: 1668 pages
% 0.22/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------