TSTP Solution File: GRP558-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 17:49:27 EDT 2023

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   16 (  16 unt;   0 nHn;   4 RR)
%            Number of literals    :   16 (  15 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 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   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.k5ey18Novy/E---3.1_3914.p',single_axiom) ).

cnf(prove_these_axioms_2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/tmp/tmp.k5ey18Novy/E---3.1_3914.p',prove_these_axioms_2) ).

cnf(multiply,axiom,
    multiply(X1,X2) = divide(X1,inverse(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.k5ey18Novy/E---3.1_3914.p',multiply) ).

cnf(c_0_3,axiom,
    divide(X1,inverse(divide(divide(X2,X3),divide(X1,X3)))) = X2,
    single_axiom ).

cnf(c_0_4,plain,
    divide(X1,inverse(divide(X2,divide(X1,inverse(divide(divide(X2,X3),divide(X4,X3))))))) = X4,
    inference(spm,[status(thm)],[c_0_3,c_0_3]) ).

cnf(c_0_5,plain,
    divide(X1,inverse(divide(X2,X2))) = X1,
    inference(spm,[status(thm)],[c_0_4,c_0_3]) ).

cnf(c_0_6,plain,
    divide(X1,inverse(divide(X2,X1))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_5]),c_0_5]) ).

cnf(c_0_7,plain,
    divide(inverse(divide(X1,X2)),inverse(X1)) = X2,
    inference(spm,[status(thm)],[c_0_6,c_0_6]) ).

cnf(c_0_8,plain,
    inverse(divide(X1,X2)) = divide(inverse(X1),inverse(X2)),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    prove_these_axioms_2 ).

cnf(c_0_10,axiom,
    multiply(X1,X2) = divide(X1,inverse(X2)),
    multiply ).

cnf(c_0_11,plain,
    divide(X1,divide(inverse(X2),inverse(X1))) = X2,
    inference(rw,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_12,plain,
    divide(X1,inverse(inverse(divide(X2,X2)))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_14,plain,
    divide(divide(inverse(X1),inverse(X1)),inverse(X2)) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n031.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Oct  3 03:01:58 EDT 2023
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.k5ey18Novy/E---3.1_3914.p
% 0.19/0.47  # Version: 3.1pre001
% 0.19/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting sh5l with 300s (1) cores
% 0.19/0.47  # sh5l with pid 3994 completed with status 0
% 0.19/0.47  # Result found by sh5l
% 0.19/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting sh5l with 300s (1) cores
% 0.19/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.47  # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.19/0.47  # U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 3998 completed with status 0
% 0.19/0.47  # Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.47  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting sh5l with 300s (1) cores
% 0.19/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.47  # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.19/0.47  # Preprocessing time       : 0.001 s
% 0.19/0.47  # Presaturation interreduction done
% 0.19/0.47  
% 0.19/0.47  # Proof found!
% 0.19/0.47  # SZS status Unsatisfiable
% 0.19/0.47  # SZS output start CNFRefutation
% See solution above
% 0.19/0.47  # Parsed axioms                        : 3
% 0.19/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.47  # Initial clauses                      : 3
% 0.19/0.47  # Removed in clause preprocessing      : 0
% 0.19/0.47  # Initial clauses in saturation        : 3
% 0.19/0.47  # Processed clauses                    : 18
% 0.19/0.47  # ...of these trivial                  : 2
% 0.19/0.47  # ...subsumed                          : 0
% 0.19/0.47  # ...remaining for further processing  : 16
% 0.19/0.47  # Other redundant clauses eliminated   : 0
% 0.19/0.47  # Clauses deleted for lack of memory   : 0
% 0.19/0.47  # Backward-subsumed                    : 0
% 0.19/0.47  # Backward-rewritten                   : 6
% 0.19/0.47  # Generated clauses                    : 69
% 0.19/0.47  # ...of the previous two non-redundant : 61
% 0.19/0.47  # ...aggressively subsumed             : 0
% 0.19/0.47  # Contextual simplify-reflections      : 0
% 0.19/0.47  # Paramodulations                      : 69
% 0.19/0.47  # Factorizations                       : 0
% 0.19/0.47  # NegExts                              : 0
% 0.19/0.47  # Equation resolutions                 : 0
% 0.19/0.47  # Total rewrite steps                  : 49
% 0.19/0.47  # Propositional unsat checks           : 0
% 0.19/0.47  #    Propositional check models        : 0
% 0.19/0.47  #    Propositional check unsatisfiable : 0
% 0.19/0.47  #    Propositional clauses             : 0
% 0.19/0.47  #    Propositional clauses after purity: 0
% 0.19/0.47  #    Propositional unsat core size     : 0
% 0.19/0.47  #    Propositional preprocessing time  : 0.000
% 0.19/0.47  #    Propositional encoding time       : 0.000
% 0.19/0.47  #    Propositional solver time         : 0.000
% 0.19/0.47  #    Success case prop preproc time    : 0.000
% 0.19/0.47  #    Success case prop encoding time   : 0.000
% 0.19/0.47  #    Success case prop solver time     : 0.000
% 0.19/0.47  # Current number of processed clauses  : 7
% 0.19/0.47  #    Positive orientable unit clauses  : 7
% 0.19/0.47  #    Positive unorientable unit clauses: 0
% 0.19/0.47  #    Negative unit clauses             : 0
% 0.19/0.47  #    Non-unit-clauses                  : 0
% 0.19/0.47  # Current number of unprocessed clauses: 42
% 0.19/0.47  # ...number of literals in the above   : 42
% 0.19/0.47  # Current number of archived formulas  : 0
% 0.19/0.47  # Current number of archived clauses   : 9
% 0.19/0.47  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.47  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.47  # Unit Clause-clause subsumption calls : 0
% 0.19/0.47  # Rewrite failures with RHS unbound    : 0
% 0.19/0.47  # BW rewrite match attempts            : 15
% 0.19/0.47  # BW rewrite match successes           : 6
% 0.19/0.47  # Condensation attempts                : 0
% 0.19/0.47  # Condensation successes               : 0
% 0.19/0.47  # Termbank termtop insertions          : 765
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.002 s
% 0.19/0.47  # System time              : 0.001 s
% 0.19/0.47  # Total time               : 0.004 s
% 0.19/0.47  # Maximum resident set size: 1420 pages
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.002 s
% 0.19/0.47  # System time              : 0.004 s
% 0.19/0.47  # Total time               : 0.006 s
% 0.19/0.47  # Maximum resident set size: 1668 pages
% 0.19/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------