TSTP Solution File: GEO033-3 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 17:31:11 EDT 2023

% Result   : Unsatisfiable 7.48s 1.51s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   39 (  21 unt;   0 nHn;  37 RR)
%            Number of literals    :   84 (   0 equ;  47 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :   67 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(d4_5,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',d4_5) ).

cnf(u_to_v_equals_u1_to_v1,hypothesis,
    equidistant(u,v,u1,v1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',u_to_v_equals_u1_to_v1) ).

cnf(b9,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',b9) ).

cnf(v_between_u_and_w,hypothesis,
    between(u,v,w),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',v_between_u_and_w) ).

cnf(d8,axiom,
    ( equidistant(X1,X5,X3,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',d8) ).

cnf(t1,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',t1) ).

cnf(v1_between_u1_and_w1,hypothesis,
    between(u1,v1,w1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',v1_between_u1_and_w1) ).

cnf(t3,axiom,
    between(X1,X2,X2),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',t3) ).

cnf(v_to_w_equals_v1_to_w1,hypothesis,
    equidistant(v,w,v1,w1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',v_to_w_equals_v1_to_w1) ).

cnf(d12,axiom,
    ( equidistant(X2,X7,X4,X8)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X5,X3,X6)
    | ~ equidistant(X1,X7,X3,X8)
    | ~ equidistant(X5,X7,X6,X8)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',d12) ).

cnf(w_to_x_equals_w1_to_x1,hypothesis,
    equidistant(w,x,w1,x1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',w_to_x_equals_w1_to_x1) ).

cnf(u_to_x_equals_u1_to_x1,hypothesis,
    equidistant(u,x,u1,x1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',u_to_x_equals_u1_to_x1) ).

cnf(prove_v_to_x_equals_v1_to_x1,negated_conjecture,
    ~ equidistant(v,x,v1,x1),
    file('/export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p',prove_v_to_x_equals_v1_to_x1) ).

cnf(c_0_13,axiom,
    ( equidistant(X4,X3,X2,X1)
    | ~ equidistant(X1,X2,X3,X4) ),
    d4_5 ).

cnf(c_0_14,hypothesis,
    equidistant(u,v,u1,v1),
    u_to_v_equals_u1_to_v1 ).

cnf(c_0_15,axiom,
    ( between(X1,X2,X4)
    | ~ between(X1,X2,X3)
    | ~ between(X1,X3,X4) ),
    b9 ).

cnf(c_0_16,hypothesis,
    between(u,v,w),
    v_between_u_and_w ).

cnf(c_0_17,axiom,
    ( equidistant(X1,X5,X3,X6)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X2,X5,X4,X6)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    d8 ).

cnf(c_0_18,hypothesis,
    equidistant(v1,u1,v,u),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,axiom,
    ( between(X3,X2,X1)
    | ~ between(X1,X2,X3) ),
    t1 ).

cnf(c_0_20,hypothesis,
    ( between(u,X1,w)
    | ~ between(u,X1,v) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,hypothesis,
    between(u1,v1,w1),
    v1_between_u1_and_w1 ).

cnf(c_0_22,hypothesis,
    ( equidistant(X1,u1,X2,u)
    | ~ between(X2,v,u)
    | ~ between(X1,v1,u1)
    | ~ equidistant(X1,v1,X2,v) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,hypothesis,
    ( between(w,X1,u)
    | ~ between(u,X1,v) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,axiom,
    between(X1,X2,X2),
    t3 ).

cnf(c_0_25,hypothesis,
    ( between(u1,X1,w1)
    | ~ between(u1,X1,v1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_26,hypothesis,
    equidistant(v,w,v1,w1),
    v_to_w_equals_v1_to_w1 ).

cnf(c_0_27,hypothesis,
    ( equidistant(X1,u1,w,u)
    | ~ between(X1,v1,u1)
    | ~ equidistant(X1,v1,w,v) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_28,hypothesis,
    ( between(w1,X1,u1)
    | ~ between(u1,X1,v1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_25]) ).

cnf(c_0_29,hypothesis,
    equidistant(w1,v1,w,v),
    inference(spm,[status(thm)],[c_0_13,c_0_26]) ).

cnf(c_0_30,axiom,
    ( equidistant(X2,X7,X4,X8)
    | ~ equidistant(X1,X2,X3,X4)
    | ~ equidistant(X1,X5,X3,X6)
    | ~ equidistant(X1,X7,X3,X8)
    | ~ equidistant(X5,X7,X6,X8)
    | ~ between(X1,X2,X5)
    | ~ between(X3,X4,X6) ),
    d12 ).

cnf(c_0_31,hypothesis,
    equidistant(w,x,w1,x1),
    w_to_x_equals_w1_to_x1 ).

cnf(c_0_32,hypothesis,
    equidistant(w1,u1,w,u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_24])]) ).

cnf(c_0_33,hypothesis,
    ( equidistant(X1,x,X2,x1)
    | ~ between(X3,X2,w1)
    | ~ between(X4,X1,w)
    | ~ equidistant(X4,x,X3,x1)
    | ~ equidistant(X4,w,X3,w1)
    | ~ equidistant(X4,X1,X3,X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_34,hypothesis,
    equidistant(u,x,u1,x1),
    u_to_x_equals_u1_to_x1 ).

cnf(c_0_35,hypothesis,
    equidistant(u,w,u1,w1),
    inference(spm,[status(thm)],[c_0_13,c_0_32]) ).

cnf(c_0_36,hypothesis,
    ( equidistant(X1,x,X2,x1)
    | ~ between(u1,X2,w1)
    | ~ between(u,X1,w)
    | ~ equidistant(u,X1,u1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

cnf(c_0_37,negated_conjecture,
    ~ equidistant(v,x,v1,x1),
    prove_v_to_x_equals_v1_to_x1 ).

cnf(c_0_38,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_14]),c_0_21]),c_0_16])]),c_0_37]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO033-3 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n015.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Oct  3 07:22:01 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.50  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.DerPacB24v/E---3.1_31223.p
% 7.48/1.51  # Version: 3.1pre001
% 7.48/1.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 7.48/1.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.48/1.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.48/1.51  # Starting new_bool_3 with 300s (1) cores
% 7.48/1.51  # Starting new_bool_1 with 300s (1) cores
% 7.48/1.51  # Starting sh5l with 300s (1) cores
% 7.48/1.51  # new_bool_1 with pid 31309 completed with status 0
% 7.48/1.51  # Result found by new_bool_1
% 7.48/1.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 7.48/1.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.48/1.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.48/1.51  # Starting new_bool_3 with 300s (1) cores
% 7.48/1.51  # Starting new_bool_1 with 300s (1) cores
% 7.48/1.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.48/1.51  # Search class: FGUSM-FFMM00-SFFFFFNN
% 7.48/1.51  # partial match(2): FGUSM-FFMM33-SFFFFFNN
% 7.48/1.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 7.48/1.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 69s (1) cores
% 7.48/1.51  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 31312 completed with status 0
% 7.48/1.51  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 7.48/1.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 7.48/1.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.48/1.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 7.48/1.51  # Starting new_bool_3 with 300s (1) cores
% 7.48/1.51  # Starting new_bool_1 with 300s (1) cores
% 7.48/1.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.48/1.51  # Search class: FGUSM-FFMM00-SFFFFFNN
% 7.48/1.51  # partial match(2): FGUSM-FFMM33-SFFFFFNN
% 7.48/1.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 7.48/1.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 69s (1) cores
% 7.48/1.51  # Preprocessing time       : 0.002 s
% 7.48/1.51  # Presaturation interreduction done
% 7.48/1.51  
% 7.48/1.51  # Proof found!
% 7.48/1.51  # SZS status Unsatisfiable
% 7.48/1.51  # SZS output start CNFRefutation
% See solution above
% 7.48/1.51  # Parsed axioms                        : 74
% 7.48/1.51  # Removed by relevancy pruning/SinE    : 32
% 7.48/1.51  # Initial clauses                      : 42
% 7.48/1.51  # Removed in clause preprocessing      : 1
% 7.48/1.51  # Initial clauses in saturation        : 41
% 7.48/1.51  # Processed clauses                    : 13668
% 7.48/1.51  # ...of these trivial                  : 119
% 7.48/1.51  # ...subsumed                          : 9594
% 7.48/1.51  # ...remaining for further processing  : 3955
% 7.48/1.51  # Other redundant clauses eliminated   : 1
% 7.48/1.51  # Clauses deleted for lack of memory   : 0
% 7.48/1.51  # Backward-subsumed                    : 184
% 7.48/1.51  # Backward-rewritten                   : 2
% 7.48/1.51  # Generated clauses                    : 52958
% 7.48/1.51  # ...of the previous two non-redundant : 47316
% 7.48/1.51  # ...aggressively subsumed             : 0
% 7.48/1.51  # Contextual simplify-reflections      : 2
% 7.48/1.51  # Paramodulations                      : 52957
% 7.48/1.51  # Factorizations                       : 0
% 7.48/1.51  # NegExts                              : 0
% 7.48/1.51  # Equation resolutions                 : 1
% 7.48/1.51  # Total rewrite steps                  : 10693
% 7.48/1.51  # Propositional unsat checks           : 0
% 7.48/1.51  #    Propositional check models        : 0
% 7.48/1.51  #    Propositional check unsatisfiable : 0
% 7.48/1.51  #    Propositional clauses             : 0
% 7.48/1.51  #    Propositional clauses after purity: 0
% 7.48/1.51  #    Propositional unsat core size     : 0
% 7.48/1.51  #    Propositional preprocessing time  : 0.000
% 7.48/1.51  #    Propositional encoding time       : 0.000
% 7.48/1.51  #    Propositional solver time         : 0.000
% 7.48/1.51  #    Success case prop preproc time    : 0.000
% 7.48/1.51  #    Success case prop encoding time   : 0.000
% 7.48/1.51  #    Success case prop solver time     : 0.000
% 7.48/1.51  # Current number of processed clauses  : 3729
% 7.48/1.51  #    Positive orientable unit clauses  : 49
% 7.48/1.51  #    Positive unorientable unit clauses: 0
% 7.48/1.51  #    Negative unit clauses             : 7
% 7.48/1.51  #    Non-unit-clauses                  : 3673
% 7.48/1.51  # Current number of unprocessed clauses: 33124
% 7.48/1.51  # ...number of literals in the above   : 141189
% 7.48/1.51  # Current number of archived formulas  : 0
% 7.48/1.51  # Current number of archived clauses   : 225
% 7.48/1.51  # Clause-clause subsumption calls (NU) : 1309766
% 7.48/1.51  # Rec. Clause-clause subsumption calls : 830265
% 7.48/1.51  # Non-unit clause-clause subsumptions  : 9617
% 7.48/1.51  # Unit Clause-clause subsumption calls : 471
% 7.48/1.51  # Rewrite failures with RHS unbound    : 0
% 7.48/1.51  # BW rewrite match attempts            : 79
% 7.48/1.51  # BW rewrite match successes           : 2
% 7.48/1.51  # Condensation attempts                : 0
% 7.48/1.51  # Condensation successes               : 0
% 7.48/1.51  # Termbank termtop insertions          : 839040
% 7.48/1.51  
% 7.48/1.51  # -------------------------------------------------
% 7.48/1.51  # User time                : 0.957 s
% 7.48/1.51  # System time              : 0.018 s
% 7.48/1.51  # Total time               : 0.975 s
% 7.48/1.51  # Maximum resident set size: 1816 pages
% 7.48/1.51  
% 7.48/1.51  # -------------------------------------------------
% 7.48/1.51  # User time                : 0.959 s
% 7.48/1.51  # System time              : 0.020 s
% 7.48/1.51  # Total time               : 0.979 s
% 7.48/1.51  # Maximum resident set size: 1732 pages
% 7.48/1.51  % E---3.1 exiting
% 7.48/1.51  % E---3.1 exiting
%------------------------------------------------------------------------------