TSTP Solution File: GEO051-3 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:44:01 EDT 2024

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   25 (  15 unt;   6 nHn;  25 RR)
%            Number of literals    :   49 (   6 equ;  24 neg)
%            Maximal clause size   :    5 (   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   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(b12,axiom,
    ( X1 = X2
    | between(X1,X3,X4)
    | between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',b12) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',u_not_v) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',v_between_u_and_w) ).

cnf(b5,axiom,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',b5) ).

cnf(v_between_u_and_x,hypothesis,
    between(u,v,x),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',v_between_u_and_x) ).

cnf(prove_x_between_v_and_w,negated_conjecture,
    ~ between(v,x,w),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',prove_x_between_v_and_w) ).

cnf(w_not_between_v_and_x,hypothesis,
    ~ between(v,w,x),
    file('/export/starexec/sandbox/tmp/tmp.R8EsKyJqyK/E---3.1_23267.p',w_not_between_v_and_x) ).

cnf(c_0_7,plain,
    ( X1 = X2
    | between(X1,X3,X4)
    | between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4) ),
    inference(fof_simplification,[status(thm)],[b12]) ).

cnf(c_0_8,hypothesis,
    u != v,
    inference(fof_simplification,[status(thm)],[u_not_v]) ).

cnf(c_0_9,plain,
    ( X1 = X2
    | between(X1,X3,X4)
    | between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4) ),
    c_0_7 ).

cnf(c_0_10,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_11,hypothesis,
    u != v,
    c_0_8 ).

cnf(c_0_12,plain,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    inference(fof_simplification,[status(thm)],[b5]) ).

cnf(c_0_13,hypothesis,
    ( between(u,X1,w)
    | between(u,w,X1)
    | ~ between(u,v,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_14,hypothesis,
    between(u,v,x),
    v_between_u_and_x ).

cnf(c_0_15,plain,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    c_0_12 ).

cnf(c_0_16,hypothesis,
    ( between(u,w,x)
    | between(u,x,w) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ~ between(v,x,w),
    inference(fof_simplification,[status(thm)],[prove_x_between_v_and_w]) ).

cnf(c_0_18,hypothesis,
    ( between(u,w,x)
    | between(X1,x,w)
    | ~ between(u,X1,x) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ between(v,x,w),
    c_0_17 ).

cnf(c_0_20,hypothesis,
    between(u,w,x),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_14]),c_0_19]) ).

cnf(c_0_21,hypothesis,
    ~ between(v,w,x),
    inference(fof_simplification,[status(thm)],[w_not_between_v_and_x]) ).

cnf(c_0_22,hypothesis,
    ( between(X1,w,x)
    | ~ between(u,X1,w) ),
    inference(spm,[status(thm)],[c_0_15,c_0_20]) ).

cnf(c_0_23,hypothesis,
    ~ between(v,w,x),
    c_0_21 ).

cnf(c_0_24,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_10]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GEO051-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 18:42:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  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.R8EsKyJqyK/E---3.1_23267.p
% 0.22/0.51  # Version: 3.1.0
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_3 with pid 23348 completed with status 0
% 0.22/0.51  # Result found by new_bool_3
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.51  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 23351 completed with status 0
% 0.22/0.51  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.22/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FGUSM-FFMF00-SFFFFFNN
% 0.22/0.51  # partial match(2): FGUSM-FFMF33-SFFFFFNN
% 0.22/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.002 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Unsatisfiable
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 82
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 38
% 0.22/0.51  # Initial clauses                      : 44
% 0.22/0.51  # Removed in clause preprocessing      : 1
% 0.22/0.51  # Initial clauses in saturation        : 43
% 0.22/0.51  # Processed clauses                    : 128
% 0.22/0.51  # ...of these trivial                  : 0
% 0.22/0.51  # ...subsumed                          : 6
% 0.22/0.51  # ...remaining for further processing  : 122
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 0
% 0.22/0.51  # Backward-rewritten                   : 5
% 0.22/0.51  # Generated clauses                    : 159
% 0.22/0.51  # ...of the previous two non-redundant : 79
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 0
% 0.22/0.51  # Paramodulations                      : 158
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 1
% 0.22/0.51  # Disequality decompositions           : 0
% 0.22/0.51  # Total rewrite steps                  : 79
% 0.22/0.51  # ...of those cached                   : 56
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 76
% 0.22/0.51  #    Positive orientable unit clauses  : 11
% 0.22/0.51  #    Positive unorientable unit clauses: 0
% 0.22/0.51  #    Negative unit clauses             : 7
% 0.22/0.51  #    Non-unit-clauses                  : 58
% 0.22/0.51  # Current number of unprocessed clauses: 34
% 0.22/0.51  # ...number of literals in the above   : 127
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 46
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 1782
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 1406
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 6
% 0.22/0.51  # Unit Clause-clause subsumption calls : 6
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 35
% 0.22/0.51  # BW rewrite match successes           : 1
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 3553
% 0.22/0.51  # Search garbage collected termcells   : 283
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.009 s
% 0.22/0.51  # System time              : 0.003 s
% 0.22/0.51  # Total time               : 0.012 s
% 0.22/0.51  # Maximum resident set size: 1884 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.012 s
% 0.22/0.51  # System time              : 0.004 s
% 0.22/0.51  # Total time               : 0.017 s
% 0.22/0.51  # Maximum resident set size: 1752 pages
% 0.22/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------