TSTP Solution File: COL100-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 : 300s
% WCLimit  : 300s
% DateTime : Sat May  4 07:29:05 EDT 2024

% Result   : Unsatisfiable 1.17s 0.61s
% Output   : CNFRefutation 1.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (   9 unt;   0 nHn;  33 RR)
%            Number of literals    :   84 (   0 equ;  54 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   68 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(transD,axiom,
    ( member(pair(X2,X4),X1)
    | ~ trans(X1)
    | ~ member(pair(X2,X3),X1)
    | ~ member(pair(X3,X4),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',transD) ).

cnf(r_into_trancl,axiom,
    ( member(pair(X1,X2),trancl(X3))
    | ~ member(pair(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',r_into_trancl) ).

cnf(trans_trancl,axiom,
    trans(trancl(X1)),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',trans_trancl) ).

cnf(diamond_trancl_2h5,hypothesis,
    ( member(pair(X1,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2h5) ).

cnf(diamond_strip_lemmaD2,axiom,
    ( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_strip_lemmaD2) ).

cnf(diamond_trancl_2c2,negated_conjecture,
    ( ~ member(pair(z,X1),trancl(r))
    | ~ member(pair(yp,X1),trancl(r)) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2c2) ).

cnf(diamond_trancl_2h1,hypothesis,
    diamond(r),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2h1) ).

cnf(diamond_trancl_2c1,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2c1) ).

cnf(diamond_strip_lemmaD1,axiom,
    ( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_strip_lemmaD1) ).

cnf(diamond_trancl_2h4,hypothesis,
    ( member(pair(ya,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2h4) ).

cnf(diamond_trancl_2h3,hypothesis,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox/tmp/tmp.TCVc2CiQsC/E---3.1_31353.p',diamond_trancl_2h3) ).

cnf(c_0_11,plain,
    ( member(pair(X2,X4),X1)
    | ~ trans(X1)
    | ~ member(pair(X2,X3),X1)
    | ~ member(pair(X3,X4),X1) ),
    inference(fof_simplification,[status(thm)],[transD]) ).

cnf(c_0_12,plain,
    ( member(pair(X1,X2),trancl(X3))
    | ~ member(pair(X1,X2),X3) ),
    inference(fof_simplification,[status(thm)],[r_into_trancl]) ).

cnf(c_0_13,plain,
    ( member(pair(X2,X4),X1)
    | ~ trans(X1)
    | ~ member(pair(X2,X3),X1)
    | ~ member(pair(X3,X4),X1) ),
    c_0_11 ).

cnf(c_0_14,plain,
    ( member(pair(X1,X2),trancl(X3))
    | ~ member(pair(X1,X2),X3) ),
    c_0_12 ).

cnf(c_0_15,axiom,
    trans(trancl(X1)),
    trans_trancl ).

cnf(c_0_16,hypothesis,
    ( member(pair(X1,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    inference(fof_simplification,[status(thm)],[diamond_trancl_2h5]) ).

cnf(c_0_17,plain,
    ( member(pair(X1,X2),trancl(X3))
    | ~ member(pair(X1,X4),trancl(X3))
    | ~ member(pair(X4,X2),X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_18,hypothesis,
    ( member(pair(X1,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    c_0_16 ).

cnf(c_0_19,plain,
    ( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD2]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ member(pair(z,X1),trancl(r))
    | ~ member(pair(yp,X1),trancl(r)) ),
    inference(fof_simplification,[status(thm)],[diamond_trancl_2c2]) ).

cnf(c_0_21,hypothesis,
    ( member(pair(X1,X2),trancl(r))
    | ~ member(pair(y,X1),trancl(r))
    | ~ member(pair(sk1(X1),X2),r) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,plain,
    ( member(pair(X3,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),X1)
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    c_0_19 ).

cnf(c_0_23,hypothesis,
    diamond(r),
    diamond_trancl_2h1 ).

cnf(c_0_24,negated_conjecture,
    ( ~ member(pair(z,X1),trancl(r))
    | ~ member(pair(yp,X1),trancl(r)) ),
    c_0_20 ).

cnf(c_0_25,hypothesis,
    ( member(pair(X1,diamond_strip_lemmaD_sk1(X2,sk1(X1),X3,r)),trancl(r))
    | ~ member(pair(X2,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r))
    | ~ member(pair(X2,X3),r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_26,negated_conjecture,
    member(pair(y,yp),trancl(r)),
    diamond_trancl_2c1 ).

cnf(c_0_27,plain,
    ( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    inference(fof_simplification,[status(thm)],[diamond_strip_lemmaD1]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ member(pair(z,diamond_strip_lemmaD_sk1(X1,sk1(yp),X2,r)),trancl(r))
    | ~ member(pair(X1,sk1(yp)),trancl(r))
    | ~ member(pair(X1,X2),r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_29,plain,
    ( member(pair(X4,diamond_strip_lemmaD_sk1(X2,X3,X4,X1)),trancl(X1))
    | ~ diamond(X1)
    | ~ member(pair(X2,X3),trancl(X1))
    | ~ member(pair(X2,X4),X1) ),
    c_0_27 ).

cnf(c_0_30,hypothesis,
    ( member(pair(ya,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    inference(fof_simplification,[status(thm)],[diamond_trancl_2h4]) ).

cnf(c_0_31,negated_conjecture,
    ( ~ member(pair(X1,sk1(yp)),trancl(r))
    | ~ member(pair(X1,z),r) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_23])]) ).

cnf(c_0_32,hypothesis,
    ( member(pair(ya,sk1(X1)),trancl(r))
    | ~ member(pair(y,X1),trancl(r)) ),
    c_0_30 ).

cnf(c_0_33,hypothesis,
    member(pair(ya,z),r),
    diamond_trancl_2h3 ).

cnf(c_0_34,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n013.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 11:29:34 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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.TCVc2CiQsC/E---3.1_31353.p
% 1.17/0.61  # Version: 3.1.0
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # Starting new_bool_3 with 300s (1) cores
% 1.17/0.61  # Starting new_bool_1 with 300s (1) cores
% 1.17/0.61  # Starting sh5l with 300s (1) cores
% 1.17/0.61  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31431 completed with status 0
% 1.17/0.61  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # No SInE strategy applied
% 1.17/0.61  # Search class: FHHSF-FFSS32-SFFFFFNN
% 1.17/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.17/0.61  # Starting new_bool_3 with 136s (1) cores
% 1.17/0.61  # Starting new_bool_1 with 136s (1) cores
% 1.17/0.61  # Starting sh5l with 136s (1) cores
% 1.17/0.61  # SAT001_MinMin_p005000_rr_RG with pid 31436 completed with status 0
% 1.17/0.61  # Result found by SAT001_MinMin_p005000_rr_RG
% 1.17/0.61  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.17/0.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.17/0.61  # No SInE strategy applied
% 1.17/0.61  # Search class: FHHSF-FFSS32-SFFFFFNN
% 1.17/0.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.17/0.61  # Preprocessing time       : 0.001 s
% 1.17/0.61  # Presaturation interreduction done
% 1.17/0.61  
% 1.17/0.61  # Proof found!
% 1.17/0.61  # SZS status Unsatisfiable
% 1.17/0.61  # SZS output start CNFRefutation
% See solution above
% 1.17/0.61  # Parsed axioms                        : 18
% 1.17/0.61  # Removed by relevancy pruning/SinE    : 0
% 1.17/0.61  # Initial clauses                      : 18
% 1.17/0.61  # Removed in clause preprocessing      : 1
% 1.17/0.61  # Initial clauses in saturation        : 17
% 1.17/0.61  # Processed clauses                    : 1407
% 1.17/0.61  # ...of these trivial                  : 0
% 1.17/0.61  # ...subsumed                          : 919
% 1.17/0.61  # ...remaining for further processing  : 488
% 1.17/0.61  # Other redundant clauses eliminated   : 0
% 1.17/0.61  # Clauses deleted for lack of memory   : 0
% 1.17/0.61  # Backward-subsumed                    : 45
% 1.17/0.61  # Backward-rewritten                   : 0
% 1.17/0.61  # Generated clauses                    : 3002
% 1.17/0.61  # ...of the previous two non-redundant : 2964
% 1.17/0.61  # ...aggressively subsumed             : 0
% 1.17/0.61  # Contextual simplify-reflections      : 4
% 1.17/0.61  # Paramodulations                      : 3000
% 1.17/0.61  # Factorizations                       : 0
% 1.17/0.61  # NegExts                              : 0
% 1.17/0.61  # Equation resolutions                 : 2
% 1.17/0.61  # Disequality decompositions           : 0
% 1.17/0.61  # Total rewrite steps                  : 677
% 1.17/0.61  # ...of those cached                   : 663
% 1.17/0.61  # Propositional unsat checks           : 0
% 1.17/0.61  #    Propositional check models        : 0
% 1.17/0.61  #    Propositional check unsatisfiable : 0
% 1.17/0.61  #    Propositional clauses             : 0
% 1.17/0.61  #    Propositional clauses after purity: 0
% 1.17/0.61  #    Propositional unsat core size     : 0
% 1.17/0.61  #    Propositional preprocessing time  : 0.000
% 1.17/0.61  #    Propositional encoding time       : 0.000
% 1.17/0.61  #    Propositional solver time         : 0.000
% 1.17/0.61  #    Success case prop preproc time    : 0.000
% 1.17/0.61  #    Success case prop encoding time   : 0.000
% 1.17/0.61  #    Success case prop solver time     : 0.000
% 1.17/0.61  # Current number of processed clauses  : 426
% 1.17/0.61  #    Positive orientable unit clauses  : 5
% 1.17/0.61  #    Positive unorientable unit clauses: 0
% 1.17/0.61  #    Negative unit clauses             : 18
% 1.17/0.61  #    Non-unit-clauses                  : 403
% 1.17/0.61  # Current number of unprocessed clauses: 1524
% 1.17/0.61  # ...number of literals in the above   : 8999
% 1.17/0.61  # Current number of archived formulas  : 0
% 1.17/0.61  # Current number of archived clauses   : 62
% 1.17/0.61  # Clause-clause subsumption calls (NU) : 107709
% 1.17/0.61  # Rec. Clause-clause subsumption calls : 21613
% 1.17/0.61  # Non-unit clause-clause subsumptions  : 293
% 1.17/0.61  # Unit Clause-clause subsumption calls : 784
% 1.17/0.61  # Rewrite failures with RHS unbound    : 0
% 1.17/0.61  # BW rewrite match attempts            : 0
% 1.17/0.61  # BW rewrite match successes           : 0
% 1.17/0.61  # Condensation attempts                : 0
% 1.17/0.61  # Condensation successes               : 0
% 1.17/0.61  # Termbank termtop insertions          : 85496
% 1.17/0.61  # Search garbage collected termcells   : 48
% 1.17/0.61  
% 1.17/0.61  # -------------------------------------------------
% 1.17/0.61  # User time                : 0.125 s
% 1.17/0.61  # System time              : 0.006 s
% 1.17/0.61  # Total time               : 0.130 s
% 1.17/0.61  # Maximum resident set size: 1632 pages
% 1.17/0.61  
% 1.17/0.61  # -------------------------------------------------
% 1.17/0.61  # User time                : 0.634 s
% 1.17/0.61  # System time              : 0.013 s
% 1.17/0.61  # Total time               : 0.647 s
% 1.17/0.61  # Maximum resident set size: 1704 pages
% 1.17/0.61  % E---3.1 exiting
%------------------------------------------------------------------------------