TSTP Solution File: SCT073-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 19:17:15 EDT 2023

% Result   : Unsatisfiable 0.14s 0.56s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (   9 unt;   6 nHn;  13 RR)
%            Number of literals    :   43 (  11 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-4 aty)
%            Number of variables   :   50 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_that_0,axiom,
    ( v_thesis____
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_that_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_conjecture_0) ).

cnf(cls_mem__def_1,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_mem__def_1) ).

cnf(cls_insert__code_1,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_insert__code_1) ).

cnf(cls_insert__absorb_0,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_insert__absorb_0) ).

cnf(cls_complete__Lin_0,axiom,
    ( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X1 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_complete__Lin_0) ).

cnf(cls_complete__Lin_1,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2 ),
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_complete__Lin_1) ).

cnf(cls_CHAINED_0,axiom,
    v_a____ != v_b____,
    file('/export/starexec/sandbox/tmp/tmp.Fzh1IxciaT/E---3.1_8053.p',cls_CHAINED_0) ).

cnf(c_0_8,axiom,
    ( v_thesis____
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
    cls_that_0 ).

cnf(c_0_9,negated_conjecture,
    ~ v_thesis____,
    cls_conjecture_0 ).

cnf(c_0_10,axiom,
    ( c_in(X1,X2,X3)
    | ~ hBOOL(hAPP(X2,X1)) ),
    cls_mem__def_1 ).

cnf(c_0_11,axiom,
    hBOOL(hAPP(c_Set_Oinsert(X1,X2,X3),X1)),
    cls_insert__code_1 ).

cnf(c_0_12,plain,
    ( ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
    inference(sr,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    c_in(X1,c_Set_Oinsert(X1,X2,X3),X4),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,axiom,
    ( c_Set_Oinsert(X1,X2,X3) = X2
    | ~ c_in(X1,X2,X3) ),
    cls_insert__absorb_0 ).

cnf(c_0_15,plain,
    ~ c_in(c_Set_Oinsert(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( c_in(X1,X2,X3)
    | ~ c_in(X1,X2,X4) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,axiom,
    ( c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | X1 = X2 ),
    cls_complete__Lin_0 ).

cnf(c_0_18,plain,
    ( ~ c_in(X1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X1,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_14]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | c_in(v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),c_Arrow__Order__Mirabelle_OLin,X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,axiom,
    ( c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
    | X1 = X2 ),
    cls_complete__Lin_1 ).

cnf(c_0_21,plain,
    ( X1 = X2
    | ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,plain,
    ( X1 = X2
    | c_in(c_Pair(X1,X2,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_20]) ).

cnf(c_0_23,axiom,
    v_a____ != v_b____,
    cls_CHAINED_0 ).

cnf(c_0_24,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : SCT073-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n024.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   : Mon Oct  2 11:32:12 EDT 2023
% 0.09/0.30  % CPUTime    : 
% 0.14/0.44  Running first-order model finding
% 0.14/0.44  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.Fzh1IxciaT/E---3.1_8053.p
% 0.14/0.56  # Version: 3.1pre001
% 0.14/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.56  # Starting sh5l with 300s (1) cores
% 0.14/0.56  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 8140 completed with status 0
% 0.14/0.56  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.56  # No SInE strategy applied
% 0.14/0.56  # Search class: FGHSM-FSLM33-DFFFFFNN
% 0.14/0.56  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.56  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 0.14/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.56  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/0.56  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.56  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.56  # G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 8152 completed with status 0
% 0.14/0.56  # Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.14/0.56  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.56  # No SInE strategy applied
% 0.14/0.56  # Search class: FGHSM-FSLM33-DFFFFFNN
% 0.14/0.56  # Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.56  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 271s (1) cores
% 0.14/0.56  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.56  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.14/0.56  # Starting G-E--_208_C09_12_F1_SE_CS_SP_PS_S070I with 136s (1) cores
% 0.14/0.56  # Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 136s (1) cores
% 0.14/0.56  # Preprocessing time       : 0.007 s
% 0.14/0.56  # Presaturation interreduction done
% 0.14/0.56  
% 0.14/0.56  # Proof found!
% 0.14/0.56  # SZS status Unsatisfiable
% 0.14/0.56  # SZS output start CNFRefutation
% See solution above
% 0.14/0.56  # Parsed axioms                        : 549
% 0.14/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.56  # Initial clauses                      : 549
% 0.14/0.56  # Removed in clause preprocessing      : 6
% 0.14/0.56  # Initial clauses in saturation        : 543
% 0.14/0.56  # Processed clauses                    : 946
% 0.14/0.56  # ...of these trivial                  : 39
% 0.14/0.56  # ...subsumed                          : 162
% 0.14/0.56  # ...remaining for further processing  : 745
% 0.14/0.56  # Other redundant clauses eliminated   : 2
% 0.14/0.56  # Clauses deleted for lack of memory   : 0
% 0.14/0.56  # Backward-subsumed                    : 18
% 0.14/0.56  # Backward-rewritten                   : 5
% 0.14/0.56  # Generated clauses                    : 925
% 0.14/0.56  # ...of the previous two non-redundant : 557
% 0.14/0.56  # ...aggressively subsumed             : 0
% 0.14/0.56  # Contextual simplify-reflections      : 0
% 0.14/0.56  # Paramodulations                      : 921
% 0.14/0.56  # Factorizations                       : 0
% 0.14/0.56  # NegExts                              : 0
% 0.14/0.56  # Equation resolutions                 : 4
% 0.14/0.56  # Total rewrite steps                  : 545
% 0.14/0.56  # Propositional unsat checks           : 0
% 0.14/0.56  #    Propositional check models        : 0
% 0.14/0.56  #    Propositional check unsatisfiable : 0
% 0.14/0.56  #    Propositional clauses             : 0
% 0.14/0.56  #    Propositional clauses after purity: 0
% 0.14/0.56  #    Propositional unsat core size     : 0
% 0.14/0.56  #    Propositional preprocessing time  : 0.000
% 0.14/0.56  #    Propositional encoding time       : 0.000
% 0.14/0.56  #    Propositional solver time         : 0.000
% 0.14/0.56  #    Success case prop preproc time    : 0.000
% 0.14/0.56  #    Success case prop encoding time   : 0.000
% 0.14/0.56  #    Success case prop solver time     : 0.000
% 0.14/0.56  # Current number of processed clauses  : 249
% 0.14/0.56  #    Positive orientable unit clauses  : 104
% 0.14/0.56  #    Positive unorientable unit clauses: 5
% 0.14/0.56  #    Negative unit clauses             : 16
% 0.14/0.56  #    Non-unit-clauses                  : 124
% 0.14/0.56  # Current number of unprocessed clauses: 615
% 0.14/0.56  # ...number of literals in the above   : 1326
% 0.14/0.56  # Current number of archived formulas  : 0
% 0.14/0.56  # Current number of archived clauses   : 499
% 0.14/0.56  # Clause-clause subsumption calls (NU) : 34145
% 0.14/0.56  # Rec. Clause-clause subsumption calls : 20501
% 0.14/0.56  # Non-unit clause-clause subsumptions  : 127
% 0.14/0.56  # Unit Clause-clause subsumption calls : 640
% 0.14/0.56  # Rewrite failures with RHS unbound    : 0
% 0.14/0.56  # BW rewrite match attempts            : 423
% 0.14/0.56  # BW rewrite match successes           : 57
% 0.14/0.56  # Condensation attempts                : 0
% 0.14/0.56  # Condensation successes               : 0
% 0.14/0.56  # Termbank termtop insertions          : 30276
% 0.14/0.56  
% 0.14/0.56  # -------------------------------------------------
% 0.14/0.56  # User time                : 0.081 s
% 0.14/0.56  # System time              : 0.008 s
% 0.14/0.56  # Total time               : 0.089 s
% 0.14/0.56  # Maximum resident set size: 2864 pages
% 0.14/0.56  
% 0.14/0.56  # -------------------------------------------------
% 0.14/0.56  # User time                : 0.397 s
% 0.14/0.56  # System time              : 0.029 s
% 0.14/0.56  # Total time               : 0.426 s
% 0.14/0.56  # Maximum resident set size: 2136 pages
% 0.14/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------