TSTP Solution File: GEO001-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 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 17:33:19 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  14 RR)
%            Number of literals    :   30 (   3 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-5 aty)
%            Number of variables   :   34 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(inner_pasch2,axiom,
    ( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',inner_pasch2) ).

cnf(b_between_a_and_c,hypothesis,
    between(a,b,c),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',b_between_a_and_c) ).

cnf(inner_pasch1,axiom,
    ( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',inner_pasch1) ).

cnf(t3,axiom,
    between(X1,X2,X2),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',t3) ).

cnf(identity_for_betweeness,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',identity_for_betweeness) ).

cnf(prove_b_between_c_and_a,negated_conjecture,
    ~ between(c,b,a),
    file('/export/starexec/sandbox/tmp/tmp.2y7Bx0R9zb/E---3.1_13893.p',prove_b_between_c_and_a) ).

cnf(c_0_6,axiom,
    ( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    inner_pasch2 ).

cnf(c_0_7,hypothesis,
    between(a,b,c),
    b_between_a_and_c ).

cnf(c_0_8,axiom,
    ( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
    | ~ between(X1,X2,X3)
    | ~ between(X4,X5,X3) ),
    inner_pasch1 ).

cnf(c_0_9,hypothesis,
    ( between(b,inner_pasch(X1,X2,c,b,a),X1)
    | ~ between(X1,X2,c) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,axiom,
    between(X1,X2,X2),
    t3 ).

cnf(c_0_11,hypothesis,
    ( between(X1,inner_pasch(X2,X1,c,b,a),a)
    | ~ between(X2,X1,c) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_12,axiom,
    ( X1 = X2
    | ~ between(X1,X2,X1) ),
    identity_for_betweeness ).

cnf(c_0_13,hypothesis,
    between(b,inner_pasch(X1,c,c,b,a),X1),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,hypothesis,
    between(c,inner_pasch(X1,c,c,b,a),a),
    inference(spm,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_15,hypothesis,
    inner_pasch(b,c,c,b,a) = b,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ~ between(c,b,a),
    prove_b_between_c_and_a ).

cnf(c_0_17,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09  % Problem    : GEO001-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n028.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 2400
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Tue Oct  3 06:57:07 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.15/0.40  Running first-order model finding
% 0.15/0.40  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.2y7Bx0R9zb/E---3.1_13893.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13970 completed with status 0
% 0.15/0.42  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # No SInE strategy applied
% 0.15/0.42  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.42  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.42  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 136s (1) cores
% 0.15/0.42  # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 13976 completed with status 0
% 0.15/0.42  # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.15/0.42  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42  # No SInE strategy applied
% 0.15/0.42  # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.42  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42  # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 47
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 47
% 0.15/0.42  # Removed in clause preprocessing      : 1
% 0.15/0.42  # Initial clauses in saturation        : 46
% 0.15/0.42  # Processed clauses                    : 135
% 0.15/0.42  # ...of these trivial                  : 21
% 0.15/0.42  # ...subsumed                          : 4
% 0.15/0.42  # ...remaining for further processing  : 110
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 0
% 0.15/0.42  # Backward-rewritten                   : 1
% 0.15/0.42  # Generated clauses                    : 273
% 0.15/0.42  # ...of the previous two non-redundant : 155
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 1
% 0.15/0.42  # Paramodulations                      : 266
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 7
% 0.15/0.42  # Total rewrite steps                  : 145
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 67
% 0.15/0.42  #    Positive orientable unit clauses  : 32
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 4
% 0.15/0.42  #    Non-unit-clauses                  : 31
% 0.15/0.42  # Current number of unprocessed clauses: 102
% 0.15/0.42  # ...number of literals in the above   : 205
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 44
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 623
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 493
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 5
% 0.15/0.42  # Unit Clause-clause subsumption calls : 13
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 108
% 0.15/0.42  # BW rewrite match successes           : 1
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 4330
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.007 s
% 0.15/0.42  # System time              : 0.003 s
% 0.15/0.42  # Total time               : 0.009 s
% 0.15/0.42  # Maximum resident set size: 1720 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.040 s
% 0.15/0.42  # System time              : 0.004 s
% 0.15/0.42  # Total time               : 0.043 s
% 0.15/0.42  # Maximum resident set size: 1708 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------