TSTP Solution File: GRP176-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GRP176-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 17:46:29 EDT 2023

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    7 (   7 unt;   0 nHn;   3 RR)
%            Number of literals    :    7 (   6 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;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_p07,negated_conjecture,
    multiply(c,multiply(least_upper_bound(a,b),d)) != least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))),
    file('/export/starexec/sandbox2/tmp/tmp.Vwytlg7eM8/E---3.1_21435.p',prove_p07) ).

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.Vwytlg7eM8/E---3.1_21435.p',monotony_lub1) ).

cnf(monotony_lub2,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.Vwytlg7eM8/E---3.1_21435.p',monotony_lub2) ).

cnf(c_0_3,negated_conjecture,
    multiply(c,multiply(least_upper_bound(a,b),d)) != least_upper_bound(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))),
    prove_p07 ).

cnf(c_0_4,axiom,
    multiply(X1,least_upper_bound(X2,X3)) = least_upper_bound(multiply(X1,X2),multiply(X1,X3)),
    monotony_lub1 ).

cnf(c_0_5,axiom,
    multiply(least_upper_bound(X1,X2),X3) = least_upper_bound(multiply(X1,X3),multiply(X2,X3)),
    monotony_lub2 ).

cnf(c_0_6,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : GRP176-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n001.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 03:12:07 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.39  Running first-order model finding
% 0.15/0.39  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.Vwytlg7eM8/E---3.1_21435.p
% 0.15/0.40  # Version: 3.1pre001
% 0.15/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.40  # Starting sh5l with 300s (1) cores
% 0.15/0.40  # new_bool_1 with pid 21514 completed with status 0
% 0.15/0.40  # Result found by new_bool_1
% 0.15/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.15/0.40  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.15/0.40  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 21519 completed with status 0
% 0.15/0.40  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.15/0.40  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.40  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.40  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.40  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.40  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.40  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.15/0.40  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.40  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.15/0.40  # Preprocessing time       : 0.001 s
% 0.15/0.40  # Presaturation interreduction done
% 0.15/0.40  
% 0.15/0.40  # Proof found!
% 0.15/0.40  # SZS status Unsatisfiable
% 0.15/0.40  # SZS output start CNFRefutation
% See solution above
% 0.15/0.40  # Parsed axioms                        : 16
% 0.15/0.40  # Removed by relevancy pruning/SinE    : 2
% 0.15/0.40  # Initial clauses                      : 14
% 0.15/0.40  # Removed in clause preprocessing      : 0
% 0.15/0.40  # Initial clauses in saturation        : 14
% 0.15/0.40  # Processed clauses                    : 14
% 0.15/0.40  # ...of these trivial                  : 0
% 0.15/0.40  # ...subsumed                          : 0
% 0.15/0.40  # ...remaining for further processing  : 13
% 0.15/0.40  # Other redundant clauses eliminated   : 0
% 0.15/0.40  # Clauses deleted for lack of memory   : 0
% 0.15/0.40  # Backward-subsumed                    : 0
% 0.15/0.40  # Backward-rewritten                   : 0
% 0.15/0.40  # Generated clauses                    : 0
% 0.15/0.40  # ...of the previous two non-redundant : 0
% 0.15/0.40  # ...aggressively subsumed             : 0
% 0.15/0.40  # Contextual simplify-reflections      : 0
% 0.15/0.40  # Paramodulations                      : 0
% 0.15/0.40  # Factorizations                       : 0
% 0.15/0.40  # NegExts                              : 0
% 0.15/0.40  # Equation resolutions                 : 0
% 0.15/0.40  # Total rewrite steps                  : 2
% 0.15/0.40  # Propositional unsat checks           : 0
% 0.15/0.40  #    Propositional check models        : 0
% 0.15/0.40  #    Propositional check unsatisfiable : 0
% 0.15/0.40  #    Propositional clauses             : 0
% 0.15/0.40  #    Propositional clauses after purity: 0
% 0.15/0.40  #    Propositional unsat core size     : 0
% 0.15/0.40  #    Propositional preprocessing time  : 0.000
% 0.15/0.40  #    Propositional encoding time       : 0.000
% 0.15/0.40  #    Propositional solver time         : 0.000
% 0.15/0.40  #    Success case prop preproc time    : 0.000
% 0.15/0.40  #    Success case prop encoding time   : 0.000
% 0.15/0.40  #    Success case prop solver time     : 0.000
% 0.15/0.40  # Current number of processed clauses  : 13
% 0.15/0.40  #    Positive orientable unit clauses  : 11
% 0.15/0.40  #    Positive unorientable unit clauses: 2
% 0.15/0.40  #    Negative unit clauses             : 0
% 0.15/0.40  #    Non-unit-clauses                  : 0
% 0.15/0.40  # Current number of unprocessed clauses: 0
% 0.15/0.40  # ...number of literals in the above   : 0
% 0.15/0.40  # Current number of archived formulas  : 0
% 0.15/0.40  # Current number of archived clauses   : 0
% 0.15/0.40  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.40  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.40  # Unit Clause-clause subsumption calls : 0
% 0.15/0.40  # Rewrite failures with RHS unbound    : 0
% 0.15/0.40  # BW rewrite match attempts            : 10
% 0.15/0.40  # BW rewrite match successes           : 8
% 0.15/0.40  # Condensation attempts                : 0
% 0.15/0.40  # Condensation successes               : 0
% 0.15/0.40  # Termbank termtop insertions          : 232
% 0.15/0.40  
% 0.15/0.40  # -------------------------------------------------
% 0.15/0.40  # User time                : 0.001 s
% 0.15/0.40  # System time              : 0.001 s
% 0.15/0.40  # Total time               : 0.002 s
% 0.15/0.40  # Maximum resident set size: 1620 pages
% 0.15/0.40  
% 0.15/0.40  # -------------------------------------------------
% 0.15/0.40  # User time                : 0.003 s
% 0.15/0.40  # System time              : 0.002 s
% 0.15/0.40  # Total time               : 0.005 s
% 0.15/0.40  # Maximum resident set size: 1676 pages
% 0.15/0.40  % E---3.1 exiting
%------------------------------------------------------------------------------