TSTP Solution File: GEO008-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 17:33:21 EDT 2023

% Result   : Unsatisfiable 0.15s 0.44s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   32 (  17 unt;   4 nHn;  30 RR)
%            Number of literals    :   56 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   40 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',t1) ).

cnf(d_between_a_and_e,hypothesis,
    between(a,d,e),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',d_between_a_and_e) ).

cnf(c_between_a_and_e,hypothesis,
    between(a,c,e),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',c_between_a_and_e) ).

cnf(b14,axiom,
    ( between(X2,X4,X3)
    | between(X4,X2,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',b14) ).

cnf(b8,axiom,
    ( between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X2,X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',b8) ).

cnf(b9,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',b9) ).

cnf(b_between_c_and_d,hypothesis,
    between(c,b,d),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',b_between_c_and_d) ).

cnf(t2,axiom,
    between(X1,X1,X2),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',t2) ).

cnf(prove_betweenness,negated_conjecture,
    ~ between(a,b,e),
    file('/export/starexec/sandbox/tmp/tmp.VBmw4LzbOZ/E---3.1_9018.p',prove_betweenness) ).

cnf(c_0_9,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_10,hypothesis,
    between(a,d,e),
    d_between_a_and_e ).

cnf(c_0_11,hypothesis,
    between(a,c,e),
    c_between_a_and_e ).

cnf(c_0_12,axiom,
    ( between(X2,X4,X3)
    | between(X4,X2,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X4,X3) ),
    b14 ).

cnf(c_0_13,hypothesis,
    between(e,d,a),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,axiom,
    ( between(X1,X4,X3)
    | ~ between(X1,X2,X3)
    | ~ between(X2,X4,X3) ),
    b8 ).

cnf(c_0_15,hypothesis,
    between(e,c,a),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

cnf(c_0_16,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    b9 ).

cnf(c_0_17,hypothesis,
    between(c,b,d),
    b_between_c_and_d ).

cnf(c_0_18,hypothesis,
    ( between(X1,d,a)
    | between(d,X1,a)
    | ~ between(e,X1,a) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,hypothesis,
    ( between(X1,c,a)
    | ~ between(X1,e,a) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,axiom,
    between(X1,X1,X2),
    t2 ).

cnf(c_0_21,hypothesis,
    ( between(a,X1,e)
    | ~ between(a,X1,d) ),
    inference(spm,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_22,hypothesis,
    ( between(X1,b,d)
    | ~ between(X1,c,d) ),
    inference(spm,[status(thm)],[c_0_14,c_0_17]) ).

cnf(c_0_23,negated_conjecture,
    ~ between(a,b,e),
    prove_betweenness ).

cnf(c_0_24,hypothesis,
    between(d,b,c),
    inference(spm,[status(thm)],[c_0_9,c_0_17]) ).

cnf(c_0_25,hypothesis,
    ( between(d,c,a)
    | between(c,d,a) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_26,hypothesis,
    ~ between(a,c,d),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_27,hypothesis,
    ( between(a,X1,e)
    | ~ between(a,X1,c) ),
    inference(spm,[status(thm)],[c_0_16,c_0_11]) ).

cnf(c_0_28,hypothesis,
    ( between(X1,b,c)
    | ~ between(X1,d,c) ),
    inference(spm,[status(thm)],[c_0_14,c_0_24]) ).

cnf(c_0_29,hypothesis,
    between(c,d,a),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_25]),c_0_26]) ).

cnf(c_0_30,hypothesis,
    ~ between(a,d,c),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]) ).

cnf(c_0_31,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : GEO008-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 06:51:07 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order model finding
% 0.15/0.42  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.VBmw4LzbOZ/E---3.1_9018.p
% 0.15/0.44  # Version: 3.1pre001
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44  # Starting sh5l with 300s (1) cores
% 0.15/0.44  # new_bool_3 with pid 9096 completed with status 0
% 0.15/0.44  # Result found by new_bool_3
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FGUSS-FFMS00-SFFFFFNN
% 0.15/0.44  # partial match(1): FGUNS-FFMS00-SFFFFFNN
% 0.15/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 121s (1) cores
% 0.15/0.44  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 9099 completed with status 0
% 0.15/0.44  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44  # Search class: FGUSS-FFMS00-SFFFFFNN
% 0.15/0.44  # partial match(1): FGUNS-FFMS00-SFFFFFNN
% 0.15/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 121s (1) cores
% 0.15/0.44  # Preprocessing time       : 0.001 s
% 0.15/0.44  # Presaturation interreduction done
% 0.15/0.44  
% 0.15/0.44  # Proof found!
% 0.15/0.44  # SZS status Unsatisfiable
% 0.15/0.44  # SZS output start CNFRefutation
% See solution above
% 0.15/0.44  # Parsed axioms                        : 85
% 0.15/0.44  # Removed by relevancy pruning/SinE    : 61
% 0.15/0.44  # Initial clauses                      : 24
% 0.15/0.44  # Removed in clause preprocessing      : 1
% 0.15/0.44  # Initial clauses in saturation        : 23
% 0.15/0.44  # Processed clauses                    : 228
% 0.15/0.44  # ...of these trivial                  : 0
% 0.15/0.44  # ...subsumed                          : 78
% 0.15/0.44  # ...remaining for further processing  : 150
% 0.15/0.44  # Other redundant clauses eliminated   : 1
% 0.15/0.44  # Clauses deleted for lack of memory   : 0
% 0.15/0.44  # Backward-subsumed                    : 10
% 0.15/0.44  # Backward-rewritten                   : 1
% 0.15/0.44  # Generated clauses                    : 485
% 0.15/0.44  # ...of the previous two non-redundant : 389
% 0.15/0.44  # ...aggressively subsumed             : 0
% 0.15/0.44  # Contextual simplify-reflections      : 0
% 0.15/0.44  # Paramodulations                      : 484
% 0.15/0.44  # Factorizations                       : 0
% 0.15/0.44  # NegExts                              : 0
% 0.15/0.44  # Equation resolutions                 : 1
% 0.15/0.44  # Total rewrite steps                  : 89
% 0.15/0.44  # Propositional unsat checks           : 0
% 0.15/0.44  #    Propositional check models        : 0
% 0.15/0.44  #    Propositional check unsatisfiable : 0
% 0.15/0.44  #    Propositional clauses             : 0
% 0.15/0.44  #    Propositional clauses after purity: 0
% 0.15/0.44  #    Propositional unsat core size     : 0
% 0.15/0.44  #    Propositional preprocessing time  : 0.000
% 0.15/0.44  #    Propositional encoding time       : 0.000
% 0.15/0.44  #    Propositional solver time         : 0.000
% 0.15/0.44  #    Success case prop preproc time    : 0.000
% 0.15/0.44  #    Success case prop encoding time   : 0.000
% 0.15/0.44  #    Success case prop solver time     : 0.000
% 0.15/0.44  # Current number of processed clauses  : 117
% 0.15/0.44  #    Positive orientable unit clauses  : 9
% 0.15/0.44  #    Positive unorientable unit clauses: 0
% 0.15/0.44  #    Negative unit clauses             : 7
% 0.15/0.44  #    Non-unit-clauses                  : 101
% 0.15/0.44  # Current number of unprocessed clauses: 160
% 0.15/0.44  # ...number of literals in the above   : 641
% 0.15/0.44  # Current number of archived formulas  : 0
% 0.15/0.44  # Current number of archived clauses   : 32
% 0.15/0.44  # Clause-clause subsumption calls (NU) : 2467
% 0.15/0.44  # Rec. Clause-clause subsumption calls : 2267
% 0.15/0.44  # Non-unit clause-clause subsumptions  : 60
% 0.15/0.44  # Unit Clause-clause subsumption calls : 41
% 0.15/0.44  # Rewrite failures with RHS unbound    : 0
% 0.15/0.44  # BW rewrite match attempts            : 22
% 0.15/0.44  # BW rewrite match successes           : 1
% 0.15/0.44  # Condensation attempts                : 0
% 0.15/0.44  # Condensation successes               : 0
% 0.15/0.44  # Termbank termtop insertions          : 6801
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.011 s
% 0.15/0.44  # System time              : 0.002 s
% 0.15/0.44  # Total time               : 0.013 s
% 0.15/0.44  # Maximum resident set size: 1808 pages
% 0.15/0.44  
% 0.15/0.44  # -------------------------------------------------
% 0.15/0.44  # User time                : 0.014 s
% 0.15/0.44  # System time              : 0.003 s
% 0.15/0.44  # Total time               : 0.017 s
% 0.15/0.44  # Maximum resident set size: 1744 pages
% 0.15/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------