TSTP Solution File: GEO069-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 17:33:39 EDT 2023

% Result   : Unsatisfiable 0.15s 0.43s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (  17 unt;   2 nHn;  27 RR)
%            Number of literals    :   41 (   4 equ;  17 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   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(t10_4,axiom,
    ( colinear(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',t10_4) ).

cnf(xvu_colinear,hypothesis,
    colinear(x,v,u),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',xvu_colinear) ).

cnf(wvu_colinear,hypothesis,
    colinear(w,v,u),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',wvu_colinear) ).

cnf(t12_2,axiom,
    ( colinear(X2,X3,X4)
    | X1 = X2
    | ~ colinear(X1,X2,X3)
    | ~ colinear(X1,X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',t12_2) ).

cnf(u_not_v,hypothesis,
    u != v,
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',u_not_v) ).

cnf(t10_1,axiom,
    ( colinear(X3,X2,X1)
    | ~ colinear(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',t10_1) ).

cnf(prove_xwu_and_xwv_colinear,negated_conjecture,
    ( ~ colinear(x,w,u)
    | ~ colinear(x,w,v) ),
    file('/export/starexec/sandbox/tmp/tmp.eTZoeQBLWT/E---3.1_32359.p',prove_xwu_and_xwv_colinear) ).

cnf(c_0_7,axiom,
    ( colinear(X3,X1,X2)
    | ~ colinear(X1,X2,X3) ),
    t10_4 ).

cnf(c_0_8,hypothesis,
    colinear(x,v,u),
    xvu_colinear ).

cnf(c_0_9,hypothesis,
    colinear(u,x,v),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,hypothesis,
    colinear(w,v,u),
    wvu_colinear ).

cnf(c_0_11,axiom,
    ( colinear(X2,X3,X4)
    | X1 = X2
    | ~ colinear(X1,X2,X3)
    | ~ colinear(X1,X2,X4) ),
    t12_2 ).

cnf(c_0_12,hypothesis,
    colinear(v,u,x),
    inference(spm,[status(thm)],[c_0_7,c_0_9]) ).

cnf(c_0_13,hypothesis,
    u != v,
    u_not_v ).

cnf(c_0_14,hypothesis,
    colinear(u,w,v),
    inference(spm,[status(thm)],[c_0_7,c_0_10]) ).

cnf(c_0_15,axiom,
    ( colinear(X3,X2,X1)
    | ~ colinear(X1,X2,X3) ),
    t10_1 ).

cnf(c_0_16,hypothesis,
    ( colinear(u,X1,x)
    | ~ colinear(v,u,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_17,hypothesis,
    colinear(v,u,w),
    inference(spm,[status(thm)],[c_0_7,c_0_14]) ).

cnf(c_0_18,hypothesis,
    colinear(u,v,x),
    inference(spm,[status(thm)],[c_0_15,c_0_8]) ).

cnf(c_0_19,hypothesis,
    colinear(u,w,x),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,hypothesis,
    ( colinear(v,X1,x)
    | ~ colinear(u,v,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_18]),c_0_13]) ).

cnf(c_0_21,hypothesis,
    colinear(u,v,w),
    inference(spm,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ colinear(x,w,u)
    | ~ colinear(x,w,v) ),
    prove_xwu_and_xwv_colinear ).

cnf(c_0_23,hypothesis,
    colinear(x,w,u),
    inference(spm,[status(thm)],[c_0_15,c_0_19]) ).

cnf(c_0_24,hypothesis,
    colinear(v,w,x),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ~ colinear(x,w,v),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_26,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_24]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GEO069-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n003.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Tue Oct  3 07:02:18 EDT 2023
% 0.10/0.30  % 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.eTZoeQBLWT/E---3.1_32359.p
% 0.15/0.43  # Version: 3.1pre001
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.43  # Starting sh5l with 300s (1) cores
% 0.15/0.43  # new_bool_3 with pid 32437 completed with status 0
% 0.15/0.43  # Result found by new_bool_3
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHSM-FFMF00-SFFFFFNN
% 0.15/0.43  # partial match(2): FGHSM-FFMF21-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 0.15/0.43  # G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 32440 completed with status 0
% 0.15/0.43  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.15/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.43  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.43  # Search class: FGHSM-FFMF00-SFFFFFNN
% 0.15/0.43  # partial match(2): FGHSM-FFMF21-SFFFFFNN
% 0.15/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.43  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 181s (1) cores
% 0.15/0.43  # Preprocessing time       : 0.002 s
% 0.15/0.43  # Presaturation interreduction done
% 0.15/0.43  
% 0.15/0.43  # Proof found!
% 0.15/0.43  # SZS status Unsatisfiable
% 0.15/0.43  # SZS output start CNFRefutation
% See solution above
% 0.15/0.43  # Parsed axioms                        : 107
% 0.15/0.43  # Removed by relevancy pruning/SinE    : 39
% 0.15/0.43  # Initial clauses                      : 68
% 0.15/0.43  # Removed in clause preprocessing      : 1
% 0.15/0.43  # Initial clauses in saturation        : 67
% 0.15/0.43  # Processed clauses                    : 159
% 0.15/0.43  # ...of these trivial                  : 25
% 0.15/0.43  # ...subsumed                          : 2
% 0.15/0.43  # ...remaining for further processing  : 132
% 0.15/0.43  # Other redundant clauses eliminated   : 2
% 0.15/0.43  # Clauses deleted for lack of memory   : 0
% 0.15/0.43  # Backward-subsumed                    : 0
% 0.15/0.43  # Backward-rewritten                   : 1
% 0.15/0.43  # Generated clauses                    : 234
% 0.15/0.43  # ...of the previous two non-redundant : 107
% 0.15/0.43  # ...aggressively subsumed             : 0
% 0.15/0.43  # Contextual simplify-reflections      : 0
% 0.15/0.43  # Paramodulations                      : 232
% 0.15/0.43  # Factorizations                       : 0
% 0.15/0.43  # NegExts                              : 0
% 0.15/0.43  # Equation resolutions                 : 2
% 0.15/0.43  # Total rewrite steps                  : 150
% 0.15/0.43  # Propositional unsat checks           : 0
% 0.15/0.43  #    Propositional check models        : 0
% 0.15/0.43  #    Propositional check unsatisfiable : 0
% 0.15/0.43  #    Propositional clauses             : 0
% 0.15/0.43  #    Propositional clauses after purity: 0
% 0.15/0.43  #    Propositional unsat core size     : 0
% 0.15/0.43  #    Propositional preprocessing time  : 0.000
% 0.15/0.43  #    Propositional encoding time       : 0.000
% 0.15/0.43  #    Propositional solver time         : 0.000
% 0.15/0.43  #    Success case prop preproc time    : 0.000
% 0.15/0.43  #    Success case prop encoding time   : 0.000
% 0.15/0.43  #    Success case prop solver time     : 0.000
% 0.15/0.43  # Current number of processed clauses  : 65
% 0.15/0.43  #    Positive orientable unit clauses  : 27
% 0.15/0.43  #    Positive unorientable unit clauses: 0
% 0.15/0.43  #    Negative unit clauses             : 2
% 0.15/0.43  #    Non-unit-clauses                  : 36
% 0.15/0.43  # Current number of unprocessed clauses: 76
% 0.15/0.43  # ...number of literals in the above   : 258
% 0.15/0.43  # Current number of archived formulas  : 0
% 0.15/0.43  # Current number of archived clauses   : 65
% 0.15/0.43  # Clause-clause subsumption calls (NU) : 1687
% 0.15/0.43  # Rec. Clause-clause subsumption calls : 1301
% 0.15/0.43  # Non-unit clause-clause subsumptions  : 2
% 0.15/0.43  # Unit Clause-clause subsumption calls : 0
% 0.15/0.43  # Rewrite failures with RHS unbound    : 0
% 0.15/0.43  # BW rewrite match attempts            : 50
% 0.15/0.43  # BW rewrite match successes           : 1
% 0.15/0.43  # Condensation attempts                : 0
% 0.15/0.43  # Condensation successes               : 0
% 0.15/0.43  # Termbank termtop insertions          : 3960
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.007 s
% 0.15/0.43  # System time              : 0.003 s
% 0.15/0.43  # Total time               : 0.010 s
% 0.15/0.43  # Maximum resident set size: 1808 pages
% 0.15/0.43  
% 0.15/0.43  # -------------------------------------------------
% 0.15/0.43  # User time                : 0.009 s
% 0.15/0.43  # System time              : 0.005 s
% 0.15/0.43  # Total time               : 0.014 s
% 0.15/0.43  # Maximum resident set size: 1752 pages
% 0.15/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------