TSTP Solution File: GEO044-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 0.16s 0.46s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  15 unt;   3 nHn;  16 RR)
%            Number of literals    :   39 (  10 equ;  18 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-4 aty)
%            Number of variables   :   44 (  10 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(b5,axiom,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',b5) ).

cnf(segment_construction1,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',segment_construction1) ).

cnf(d9,axiom,
    ( X1 = X2
    | X3 = X4
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4)
    | ~ equidistant(X2,X3,X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',d9) ).

cnf(segment_construction2,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',segment_construction2) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',v_between_u_and_w) ).

cnf(v_not_w,hypothesis,
    v != w,
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',v_not_w) ).

cnf(w_between_v_and_x,hypothesis,
    between(v,w,x),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',w_between_v_and_x) ).

cnf(prove_w_between_u_and_x,negated_conjecture,
    ~ between(u,w,x),
    file('/export/starexec/sandbox2/tmp/tmp.t48FG0hwt7/E---3.1_12844.p',prove_w_between_u_and_x) ).

cnf(c_0_8,axiom,
    ( between(X2,X3,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    b5 ).

cnf(c_0_9,axiom,
    between(X1,X2,extension(X1,X2,X3,X4)),
    segment_construction1 ).

cnf(c_0_10,axiom,
    ( X1 = X2
    | X3 = X4
    | ~ between(X1,X2,X3)
    | ~ between(X1,X2,X4)
    | ~ equidistant(X2,X3,X2,X4) ),
    d9 ).

cnf(c_0_11,axiom,
    equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
    segment_construction2 ).

cnf(c_0_12,plain,
    ( between(X1,X2,extension(X3,X2,X4,X5))
    | ~ between(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_14,plain,
    ( extension(X1,X2,X2,X3) = X3
    | X4 = X2
    | ~ between(X4,X2,extension(X1,X2,X2,X3))
    | ~ between(X4,X2,X3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,hypothesis,
    between(v,w,extension(u,w,X1,X2)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,hypothesis,
    v != w,
    v_not_w ).

cnf(c_0_17,hypothesis,
    ( extension(u,w,w,X1) = X1
    | ~ between(v,w,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_18,hypothesis,
    between(v,w,x),
    w_between_v_and_x ).

cnf(c_0_19,hypothesis,
    extension(u,w,w,x) = x,
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,negated_conjecture,
    ~ between(u,w,x),
    prove_w_between_u_and_x ).

cnf(c_0_21,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : GEO044-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n027.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Oct  3 06:51:31 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.16/0.44  Running first-order model finding
% 0.16/0.44  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.t48FG0hwt7/E---3.1_12844.p
% 0.16/0.46  # Version: 3.1pre001
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46  # Starting sh5l with 300s (1) cores
% 0.16/0.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12921 completed with status 0
% 0.16/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # No SInE strategy applied
% 0.16/0.46  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.16/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.46  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.46  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.16/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 136s (1) cores
% 0.16/0.46  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 12932 completed with status 0
% 0.16/0.46  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.16/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46  # No SInE strategy applied
% 0.16/0.46  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.16/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.46  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.16/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.46  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.46  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.16/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 136s (1) cores
% 0.16/0.46  # Preprocessing time       : 0.001 s
% 0.16/0.46  # Presaturation interreduction done
% 0.16/0.46  
% 0.16/0.46  # Proof found!
% 0.16/0.46  # SZS status Unsatisfiable
% 0.16/0.46  # SZS output start CNFRefutation
% See solution above
% 0.16/0.46  # Parsed axioms                        : 57
% 0.16/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.46  # Initial clauses                      : 57
% 0.16/0.46  # Removed in clause preprocessing      : 2
% 0.16/0.46  # Initial clauses in saturation        : 55
% 0.16/0.46  # Processed clauses                    : 250
% 0.16/0.46  # ...of these trivial                  : 8
% 0.16/0.46  # ...subsumed                          : 63
% 0.16/0.46  # ...remaining for further processing  : 179
% 0.16/0.46  # Other redundant clauses eliminated   : 4
% 0.16/0.46  # Clauses deleted for lack of memory   : 0
% 0.16/0.46  # Backward-subsumed                    : 0
% 0.16/0.46  # Backward-rewritten                   : 0
% 0.16/0.46  # Generated clauses                    : 741
% 0.16/0.46  # ...of the previous two non-redundant : 485
% 0.16/0.46  # ...aggressively subsumed             : 0
% 0.16/0.46  # Contextual simplify-reflections      : 0
% 0.16/0.46  # Paramodulations                      : 737
% 0.16/0.46  # Factorizations                       : 0
% 0.16/0.46  # NegExts                              : 0
% 0.16/0.46  # Equation resolutions                 : 4
% 0.16/0.46  # Total rewrite steps                  : 250
% 0.16/0.46  # Propositional unsat checks           : 0
% 0.16/0.46  #    Propositional check models        : 0
% 0.16/0.46  #    Propositional check unsatisfiable : 0
% 0.16/0.46  #    Propositional clauses             : 0
% 0.16/0.46  #    Propositional clauses after purity: 0
% 0.16/0.46  #    Propositional unsat core size     : 0
% 0.16/0.46  #    Propositional preprocessing time  : 0.000
% 0.16/0.46  #    Propositional encoding time       : 0.000
% 0.16/0.46  #    Propositional solver time         : 0.000
% 0.16/0.46  #    Success case prop preproc time    : 0.000
% 0.16/0.46  #    Success case prop encoding time   : 0.000
% 0.16/0.46  #    Success case prop solver time     : 0.000
% 0.16/0.47  # Current number of processed clauses  : 129
% 0.16/0.47  #    Positive orientable unit clauses  : 43
% 0.16/0.47  #    Positive unorientable unit clauses: 0
% 0.16/0.47  #    Negative unit clauses             : 17
% 0.16/0.47  #    Non-unit-clauses                  : 69
% 0.16/0.47  # Current number of unprocessed clauses: 337
% 0.16/0.47  # ...number of literals in the above   : 813
% 0.16/0.47  # Current number of archived formulas  : 0
% 0.16/0.47  # Current number of archived clauses   : 48
% 0.16/0.47  # Clause-clause subsumption calls (NU) : 2202
% 0.16/0.47  # Rec. Clause-clause subsumption calls : 1733
% 0.16/0.47  # Non-unit clause-clause subsumptions  : 44
% 0.16/0.47  # Unit Clause-clause subsumption calls : 161
% 0.16/0.47  # Rewrite failures with RHS unbound    : 0
% 0.16/0.47  # BW rewrite match attempts            : 215
% 0.16/0.47  # BW rewrite match successes           : 0
% 0.16/0.47  # Condensation attempts                : 0
% 0.16/0.47  # Condensation successes               : 0
% 0.16/0.47  # Termbank termtop insertions          : 9365
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.016 s
% 0.16/0.47  # System time              : 0.003 s
% 0.16/0.47  # Total time               : 0.018 s
% 0.16/0.47  # Maximum resident set size: 1740 pages
% 0.16/0.47  
% 0.16/0.47  # -------------------------------------------------
% 0.16/0.47  # User time                : 0.082 s
% 0.16/0.47  # System time              : 0.009 s
% 0.16/0.47  # Total time               : 0.091 s
% 0.16/0.47  # Maximum resident set size: 1720 pages
% 0.16/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------