TSTP Solution File: GRP186-4 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP186-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 17:46:34 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   4 RR)
%            Number of literals    :   13 (  12 equ;   3 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   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p23x,negated_conjecture,
    least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
    file('/export/starexec/sandbox2/tmp/tmp.73xWPT7oAQ/E---3.1_14016.p',prove_p23x) ).

cnf(symmetry_of_lub,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.73xWPT7oAQ/E---3.1_14016.p',symmetry_of_lub) ).

cnf(monotony_lub1,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.73xWPT7oAQ/E---3.1_14016.p',monotony_lub1) ).

cnf(left_inverse,axiom,
    multiply(inverse(X1),X1) = identity,
    file('/export/starexec/sandbox2/tmp/tmp.73xWPT7oAQ/E---3.1_14016.p',left_inverse) ).

cnf(p23x_2,hypothesis,
    inverse(inverse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.73xWPT7oAQ/E---3.1_14016.p',p23x_2) ).

cnf(c_0_5,negated_conjecture,
    least_upper_bound(multiply(a,b),identity) != multiply(a,least_upper_bound(inverse(a),b)),
    prove_p23x ).

cnf(c_0_6,axiom,
    least_upper_bound(X1,X2) = least_upper_bound(X2,X1),
    symmetry_of_lub ).

cnf(c_0_7,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_lub1 ).

cnf(c_0_8,axiom,
    multiply(inverse(X1),X1) = identity,
    left_inverse ).

cnf(c_0_9,hypothesis,
    inverse(inverse(X1)) = X1,
    p23x_2 ).

cnf(c_0_10,negated_conjecture,
    least_upper_bound(multiply(a,b),multiply(a,inverse(a))) != least_upper_bound(identity,multiply(a,b)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_7]) ).

cnf(c_0_11,hypothesis,
    multiply(X1,inverse(X1)) = identity,
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRP186-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 02:38:01 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.73xWPT7oAQ/E---3.1_14016.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 14093 completed with status 0
% 0.16/0.44  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # No SInE strategy applied
% 0.16/0.44  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.16/0.44  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.44  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.16/0.44  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.16/0.44  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.16/0.44  # U----_043_B31_F1_PI_AE_CS_SP_S2S with pid 14102 completed with status 0
% 0.16/0.44  # Result found by U----_043_B31_F1_PI_AE_CS_SP_S2S
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # No SInE strategy applied
% 0.16/0.44  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.16/0.44  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.44  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.44  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.16/0.44  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 19
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.44  # Initial clauses                      : 19
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 19
% 0.16/0.44  # Processed clauses                    : 21
% 0.16/0.44  # ...of these trivial                  : 0
% 0.16/0.44  # ...subsumed                          : 0
% 0.16/0.44  # ...remaining for further processing  : 21
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 2
% 0.16/0.44  # Generated clauses                    : 104
% 0.16/0.44  # ...of the previous two non-redundant : 62
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 104
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Total rewrite steps                  : 99
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 19
% 0.16/0.44  #    Positive orientable unit clauses  : 17
% 0.16/0.44  #    Positive unorientable unit clauses: 2
% 0.16/0.44  #    Negative unit clauses             : 0
% 0.16/0.44  #    Non-unit-clauses                  : 0
% 0.16/0.44  # Current number of unprocessed clauses: 60
% 0.16/0.44  # ...number of literals in the above   : 60
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 2
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.44  # Unit Clause-clause subsumption calls : 0
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 21
% 0.16/0.44  # BW rewrite match successes           : 17
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 1019
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.002 s
% 0.16/0.44  # System time              : 0.002 s
% 0.16/0.44  # Total time               : 0.004 s
% 0.16/0.44  # Maximum resident set size: 1524 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.017 s
% 0.16/0.44  # System time              : 0.004 s
% 0.16/0.44  # Total time               : 0.021 s
% 0.16/0.44  # Maximum resident set size: 1676 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------