TSTP Solution File: GEO045-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO045-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 17:33:33 EDT 2023

% Result   : Unsatisfiable 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  12 unt;   2 nHn;  17 RR)
%            Number of literals    :   26 (   4 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',t1) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',v_between_u_and_w) ).

cnf(b6,axiom,
    ( between(X1,X3,X4)
    | X2 = X3
    | ~ between(X1,X2,X3)
    | ~ between(X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',b6) ).

cnf(v_not_w,hypothesis,
    v != w,
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',v_not_w) ).

cnf(w_between_v_and_x,hypothesis,
    between(v,w,x),
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',w_between_v_and_x) ).

cnf(prove_v_between_u_and_x,negated_conjecture,
    ~ between(u,v,x),
    file('/export/starexec/sandbox2/tmp/tmp.38qrPsr8WE/E---3.1_28329.p',prove_v_between_u_and_x) ).

cnf(c_0_6,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_7,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_8,axiom,
    ( between(X1,X3,X4)
    | X2 = X3
    | ~ between(X1,X2,X3)
    | ~ between(X2,X3,X4) ),
    b6 ).

cnf(c_0_9,hypothesis,
    between(w,v,u),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,hypothesis,
    v != w,
    v_not_w ).

cnf(c_0_11,hypothesis,
    between(v,w,x),
    w_between_v_and_x ).

cnf(c_0_12,hypothesis,
    ( between(X1,v,u)
    | ~ between(X1,w,v) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_13,hypothesis,
    between(x,w,v),
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_14,hypothesis,
    between(x,v,u),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    ~ between(u,v,x),
    prove_v_between_u_and_x ).

cnf(c_0_16,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GEO045-3 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n003.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 06:59:33 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.38qrPsr8WE/E---3.1_28329.p
% 0.17/0.46  # Version: 3.1pre001
% 0.17/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # new_bool_3 with pid 28407 completed with status 0
% 0.17/0.46  # Result found by new_bool_3
% 0.17/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.17/0.46  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.17/0.46  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 28410 completed with status 0
% 0.17/0.46  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.17/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.46  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.17/0.46  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.17/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.001 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Unsatisfiable
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 58
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 25
% 0.17/0.46  # Initial clauses                      : 33
% 0.17/0.46  # Removed in clause preprocessing      : 1
% 0.17/0.46  # Initial clauses in saturation        : 32
% 0.17/0.46  # Processed clauses                    : 76
% 0.17/0.46  # ...of these trivial                  : 0
% 0.17/0.46  # ...subsumed                          : 4
% 0.17/0.46  # ...remaining for further processing  : 72
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 0
% 0.17/0.46  # Generated clauses                    : 68
% 0.17/0.46  # ...of the previous two non-redundant : 25
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 67
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 1
% 0.17/0.46  # Total rewrite steps                  : 40
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 42
% 0.17/0.46  #    Positive orientable unit clauses  : 10
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 6
% 0.17/0.46  #    Non-unit-clauses                  : 26
% 0.17/0.46  # Current number of unprocessed clauses: 9
% 0.17/0.46  # ...number of literals in the above   : 39
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 30
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 546
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 454
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 4
% 0.17/0.46  # Unit Clause-clause subsumption calls : 6
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 28
% 0.17/0.46  # BW rewrite match successes           : 0
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 1403
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.006 s
% 0.17/0.46  # System time              : 0.000 s
% 0.17/0.46  # Total time               : 0.006 s
% 0.17/0.46  # Maximum resident set size: 1796 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.006 s
% 0.17/0.46  # System time              : 0.002 s
% 0.17/0.46  # Total time               : 0.008 s
% 0.17/0.46  # Maximum resident set size: 1720 pages
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------