TSTP Solution File: GRP168-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP168-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 17:46:27 EDT 2023

% Result   : Unsatisfiable 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   5 RR)
%            Number of literals    :    9 (   8 equ;   2 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   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p01b,negated_conjecture,
    greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))) != multiply(inverse(c),multiply(a,c)),
    file('/export/starexec/sandbox/tmp/tmp.qnV9eruBLn/E---3.1_13971.p',prove_p01b) ).

cnf(monotony_glb1,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    file('/export/starexec/sandbox/tmp/tmp.qnV9eruBLn/E---3.1_13971.p',monotony_glb1) ).

cnf(monotony_glb2,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.qnV9eruBLn/E---3.1_13971.p',monotony_glb2) ).

cnf(p01b_1,hypothesis,
    greatest_lower_bound(a,b) = a,
    file('/export/starexec/sandbox/tmp/tmp.qnV9eruBLn/E---3.1_13971.p',p01b_1) ).

cnf(c_0_4,negated_conjecture,
    greatest_lower_bound(multiply(inverse(c),multiply(a,c)),multiply(inverse(c),multiply(b,c))) != multiply(inverse(c),multiply(a,c)),
    prove_p01b ).

cnf(c_0_5,axiom,
    multiply(X1,greatest_lower_bound(X2,X3)) = greatest_lower_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_glb1 ).

cnf(c_0_6,axiom,
    multiply(greatest_lower_bound(X1,X2),X3) = greatest_lower_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_glb2 ).

cnf(c_0_7,hypothesis,
    greatest_lower_bound(a,b) = a,
    p01b_1 ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_6]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP168-2 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.15  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n005.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 2400
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Oct  3 02:31:31 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.22/0.51  Running first-order model finding
% 0.22/0.51  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.qnV9eruBLn/E---3.1_13971.p
% 0.22/0.52  # Version: 3.1pre001
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # sh5l with pid 14051 completed with status 0
% 0.22/0.52  # Result found by sh5l
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.22/0.52  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.22/0.52  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 14054 completed with status 0
% 0.22/0.52  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.22/0.52  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN 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  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.52  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.22/0.52  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.001 s
% 0.22/0.52  # Presaturation interreduction done
% 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                        : 17
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.52  # Initial clauses                      : 17
% 0.22/0.52  # Removed in clause preprocessing      : 0
% 0.22/0.52  # Initial clauses in saturation        : 17
% 0.22/0.52  # Processed clauses                    : 18
% 0.22/0.52  # ...of these trivial                  : 0
% 0.22/0.52  # ...subsumed                          : 0
% 0.22/0.52  # ...remaining for further processing  : 17
% 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                   : 1
% 0.22/0.52  # Generated clauses                    : 0
% 0.22/0.52  # ...of the previous two non-redundant : 1
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 0
% 0.22/0.52  # Paramodulations                      : 0
% 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                  : 3
% 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  : 16
% 0.22/0.52  #    Positive orientable unit clauses  : 14
% 0.22/0.52  #    Positive unorientable unit clauses: 2
% 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: 0
% 0.22/0.52  # ...number of literals in the above   : 0
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 1
% 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 : 0
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 23
% 0.22/0.52  # BW rewrite match successes           : 17
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 257
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.002 s
% 0.22/0.52  # System time              : 0.001 s
% 0.22/0.52  # Total time               : 0.003 s
% 0.22/0.52  # Maximum resident set size: 1592 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.003 s
% 0.22/0.52  # System time              : 0.003 s
% 0.22/0.52  # Total time               : 0.006 s
% 0.22/0.52  # Maximum resident set size: 1672 pages
% 0.22/0.52  % E---3.1 exiting
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