TSTP Solution File: MGT053-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : MGT053-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 18:37:16 EDT 2023

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (   6 unt;  14 nHn;  19 RR)
%            Number of literals    :   63 (   0 equ;  26 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   34 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(definition_2_30,axiom,
    ( is_aligned(X1,X2)
    | is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',definition_2_30) ).

cnf(lemma_7_36,negated_conjecture,
    ( dissimilar(sk1,sk2,sk3)
    | dissimilar(sk1,sk3,sk2) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',lemma_7_36) ).

cnf(definition_2_29,axiom,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',definition_2_29) ).

cnf(definition_2_34,axiom,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X3,X2)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',definition_2_34) ).

cnf(definition_2_31,axiom,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',definition_2_31) ).

cnf(definition_2_33,axiom,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',definition_2_33) ).

cnf(lemma_7_39,negated_conjecture,
    ( ~ dissimilar(sk1,sk3,sk2)
    | ~ dissimilar(sk1,sk2,sk3) ),
    file('/export/starexec/sandbox2/tmp/tmp.pIxmmyH1qm/E---3.1_24941.p',lemma_7_39) ).

cnf(c_0_7,axiom,
    ( is_aligned(X1,X2)
    | is_aligned(X1,X3)
    | ~ dissimilar(X1,X2,X3) ),
    definition_2_30 ).

cnf(c_0_8,negated_conjecture,
    ( dissimilar(sk1,sk2,sk3)
    | dissimilar(sk1,sk3,sk2) ),
    lemma_7_36 ).

cnf(c_0_9,axiom,
    ( organization(X1)
    | ~ dissimilar(X1,X2,X3) ),
    definition_2_29 ).

cnf(c_0_10,axiom,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X3,X2)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    definition_2_34 ).

cnf(c_0_11,negated_conjecture,
    ( is_aligned(sk1,sk3)
    | is_aligned(sk1,sk2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    organization(sk1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( is_aligned(sk1,sk2)
    | is_aligned(sk1,X1)
    | dissimilar(sk1,X1,sk3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]) ).

cnf(c_0_14,axiom,
    ( ~ dissimilar(X1,X2,X3)
    | ~ is_aligned(X1,X2)
    | ~ is_aligned(X1,X3) ),
    definition_2_31 ).

cnf(c_0_15,axiom,
    ( is_aligned(X1,X3)
    | dissimilar(X1,X2,X3)
    | ~ organization(X1)
    | ~ is_aligned(X1,X2) ),
    definition_2_33 ).

cnf(c_0_16,negated_conjecture,
    ( is_aligned(sk1,sk2)
    | dissimilar(sk1,sk2,sk3) ),
    inference(ef,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ is_aligned(sk1,sk2)
    | ~ is_aligned(sk1,sk3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_8]),c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ( is_aligned(sk1,X1)
    | dissimilar(sk1,sk2,sk3)
    | dissimilar(sk1,sk2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_12])]) ).

cnf(c_0_19,negated_conjecture,
    ( ~ dissimilar(sk1,sk3,sk2)
    | ~ dissimilar(sk1,sk2,sk3) ),
    lemma_7_39 ).

cnf(c_0_20,negated_conjecture,
    dissimilar(sk1,sk2,sk3),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( is_aligned(sk1,sk2)
    | is_aligned(sk1,X1)
    | dissimilar(sk1,sk3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_11]),c_0_12])]) ).

cnf(c_0_22,negated_conjecture,
    ~ dissimilar(sk1,sk3,sk2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_23,negated_conjecture,
    is_aligned(sk1,sk2),
    inference(sr,[status(thm)],[inference(ef,[status(thm)],[c_0_21]),c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    ~ is_aligned(sk1,sk3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_23])]) ).

cnf(c_0_25,negated_conjecture,
    ( is_aligned(sk1,X1)
    | dissimilar(sk1,X1,sk2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_23]),c_0_12])]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem    : MGT053-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.13  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n023.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 2400
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Tue Oct  3 00:43:52 EDT 2023
% 0.12/0.32  % CPUTime    : 
% 0.18/0.45  Running first-order model finding
% 0.18/0.45  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.pIxmmyH1qm/E---3.1_24941.p
% 0.18/0.46  # Version: 3.1pre001
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  # Starting sh5l with 300s (1) cores
% 0.18/0.46  # sh5l with pid 25088 completed with status 0
% 0.18/0.46  # Result found by sh5l
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  # Starting sh5l with 300s (1) cores
% 0.18/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.46  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.18/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.46  # SAT001_MinMin_p005000_rr_RG with pid 25094 completed with status 0
% 0.18/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  # Starting sh5l with 300s (1) cores
% 0.18/0.46  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.46  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.18/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.18/0.46  # Preprocessing time       : 0.001 s
% 0.18/0.46  # Presaturation interreduction done
% 0.18/0.46  
% 0.18/0.46  # Proof found!
% 0.18/0.46  # SZS status Unsatisfiable
% 0.18/0.46  # SZS output start CNFRefutation
% See solution above
% 0.18/0.46  # Parsed axioms                        : 22
% 0.18/0.46  # Removed by relevancy pruning/SinE    : 11
% 0.18/0.46  # Initial clauses                      : 11
% 0.18/0.46  # Removed in clause preprocessing      : 4
% 0.18/0.46  # Initial clauses in saturation        : 7
% 0.18/0.46  # Processed clauses                    : 31
% 0.18/0.46  # ...of these trivial                  : 0
% 0.18/0.46  # ...subsumed                          : 4
% 0.18/0.46  # ...remaining for further processing  : 27
% 0.18/0.46  # Other redundant clauses eliminated   : 0
% 0.18/0.46  # Clauses deleted for lack of memory   : 0
% 0.18/0.46  # Backward-subsumed                    : 2
% 0.18/0.46  # Backward-rewritten                   : 7
% 0.18/0.46  # Generated clauses                    : 37
% 0.18/0.46  # ...of the previous two non-redundant : 33
% 0.18/0.46  # ...aggressively subsumed             : 0
% 0.18/0.46  # Contextual simplify-reflections      : 4
% 0.18/0.46  # Paramodulations                      : 33
% 0.18/0.46  # Factorizations                       : 4
% 0.18/0.46  # NegExts                              : 0
% 0.18/0.46  # Equation resolutions                 : 0
% 0.18/0.46  # Total rewrite steps                  : 28
% 0.18/0.46  # Propositional unsat checks           : 0
% 0.18/0.46  #    Propositional check models        : 0
% 0.18/0.46  #    Propositional check unsatisfiable : 0
% 0.18/0.46  #    Propositional clauses             : 0
% 0.18/0.46  #    Propositional clauses after purity: 0
% 0.18/0.46  #    Propositional unsat core size     : 0
% 0.18/0.46  #    Propositional preprocessing time  : 0.000
% 0.18/0.46  #    Propositional encoding time       : 0.000
% 0.18/0.46  #    Propositional solver time         : 0.000
% 0.18/0.46  #    Success case prop preproc time    : 0.000
% 0.18/0.46  #    Success case prop encoding time   : 0.000
% 0.18/0.46  #    Success case prop solver time     : 0.000
% 0.18/0.46  # Current number of processed clauses  : 11
% 0.18/0.46  #    Positive orientable unit clauses  : 3
% 0.18/0.46  #    Positive unorientable unit clauses: 0
% 0.18/0.46  #    Negative unit clauses             : 2
% 0.18/0.46  #    Non-unit-clauses                  : 6
% 0.18/0.46  # Current number of unprocessed clauses: 13
% 0.18/0.46  # ...number of literals in the above   : 50
% 0.18/0.46  # Current number of archived formulas  : 0
% 0.18/0.46  # Current number of archived clauses   : 16
% 0.18/0.46  # Clause-clause subsumption calls (NU) : 22
% 0.18/0.46  # Rec. Clause-clause subsumption calls : 15
% 0.18/0.46  # Non-unit clause-clause subsumptions  : 8
% 0.18/0.46  # Unit Clause-clause subsumption calls : 3
% 0.18/0.46  # Rewrite failures with RHS unbound    : 0
% 0.18/0.46  # BW rewrite match attempts            : 3
% 0.18/0.46  # BW rewrite match successes           : 2
% 0.18/0.46  # Condensation attempts                : 0
% 0.18/0.46  # Condensation successes               : 0
% 0.18/0.46  # Termbank termtop insertions          : 761
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.004 s
% 0.18/0.46  # System time              : 0.001 s
% 0.18/0.46  # Total time               : 0.005 s
% 0.18/0.46  # Maximum resident set size: 1628 pages
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.006 s
% 0.18/0.46  # System time              : 0.002 s
% 0.18/0.46  # Total time               : 0.008 s
% 0.18/0.46  # Maximum resident set size: 1680 pages
% 0.18/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------