TSTP Solution File: COM011-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : COM011-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 17:22:17 EDT 2023

% Result   : Unsatisfiable 3.13s 0.99s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (   9 unt;   3 nHn;  23 RR)
%            Number of literals    :   51 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   4 con; 0-3 aty)
%            Number of variables   :   63 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_UNITY_Oconstrains__weaken__L_0,axiom,
    ( c_in(X1,c_UNITY_Oconstrains(X5,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_UNITY_Oconstrains(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_lessequals(X5,X2,tc_set(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_UNITY_Oconstrains__weaken__L_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_conjecture_0) ).

cnf(cls_WFair_Otransient__strengthen_0,axiom,
    ( c_in(X1,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))
    | ~ c_in(X1,c_WFair_Otransient(X2,X3),tc_UNITY_Oprogram(X3))
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_WFair_Otransient__strengthen_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_conjecture_1) ).

cnf(cls_WFair_OensuresI_0,axiom,
    ( c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_UNITY_Oconstrains(c_minus(X2,X3,tc_set(X4)),c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_WFair_OensuresI_0) ).

cnf(cls_Set_ODiffE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_Set_ODiffE_1) ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_Set_OsubsetI_0) ).

cnf(cls_WFair_OleadsTo__Basis_0,axiom,
    ( c_in(X1,c_WFair_OleadsTo(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_WFair_OleadsTo__Basis_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_conjecture_2) ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.UD5Dl94C4Z/E---3.1_15687.p',cls_Set_OsubsetI_1) ).

cnf(c_0_10,axiom,
    ( c_in(X1,c_UNITY_Oconstrains(X5,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_UNITY_Oconstrains(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_lessequals(X5,X2,tc_set(X4)) ),
    cls_UNITY_Oconstrains__weaken__L_0 ).

cnf(c_0_11,negated_conjecture,
    c_in(v_F,c_UNITY_Oconstrains(v_A,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a)),
    cls_conjecture_0 ).

cnf(c_0_12,axiom,
    ( c_in(X1,c_WFair_Otransient(X4,X3),tc_UNITY_Oprogram(X3))
    | ~ c_in(X1,c_WFair_Otransient(X2,X3),tc_UNITY_Oprogram(X3))
    | ~ c_lessequals(X4,X2,tc_set(X3)) ),
    cls_WFair_Otransient__strengthen_0 ).

cnf(c_0_13,negated_conjecture,
    c_in(v_F,c_WFair_Otransient(v_A,t_a),tc_UNITY_Oprogram(t_a)),
    cls_conjecture_1 ).

cnf(c_0_14,axiom,
    ( c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_UNITY_Oconstrains(c_minus(X2,X3,tc_set(X4)),c_union(X2,X3,X4),X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_WFair_Otransient(c_minus(X2,X3,tc_set(X4)),X4),tc_UNITY_Oprogram(X4)) ),
    cls_WFair_OensuresI_0 ).

cnf(c_0_15,negated_conjecture,
    ( c_in(v_F,c_UNITY_Oconstrains(X1,c_union(v_A,v_B,t_a),t_a),tc_UNITY_Oprogram(t_a))
    | ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( c_in(v_F,c_WFair_Otransient(X1,t_a),tc_UNITY_Oprogram(t_a))
    | ~ c_lessequals(X1,v_A,tc_set(t_a)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiffE_1 ).

cnf(c_0_18,axiom,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OsubsetI_0 ).

cnf(c_0_19,axiom,
    ( c_in(X1,c_WFair_OleadsTo(X2,X3,X4),tc_UNITY_Oprogram(X4))
    | ~ c_in(X1,c_WFair_Oensures(X2,X3,X4),tc_UNITY_Oprogram(X4)) ),
    cls_WFair_OleadsTo__Basis_0 ).

cnf(c_0_20,negated_conjecture,
    ( c_in(v_F,c_WFair_Oensures(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a))
    | ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ~ c_in(v_F,c_WFair_OleadsTo(v_A,v_B,t_a),tc_UNITY_Oprogram(t_a)),
    cls_conjecture_2 ).

cnf(c_0_22,axiom,
    ( c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    cls_Set_OsubsetI_1 ).

cnf(c_0_23,plain,
    ( c_lessequals(c_minus(X1,X2,tc_set(X3)),X4,tc_set(X3))
    | c_in(c_Main_OsubsetI__1(c_minus(X1,X2,tc_set(X3)),X4,X3),X1,X3) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ~ c_lessequals(c_minus(v_A,v_B,tc_set(t_a)),v_A,tc_set(t_a)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_25,plain,
    c_lessequals(c_minus(X1,X2,tc_set(X3)),X1,tc_set(X3)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : COM011-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 05:13:37 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.59  Running first-order model finding
% 0.20/0.59  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.UD5Dl94C4Z/E---3.1_15687.p
% 3.13/0.99  # Version: 3.1pre001
% 3.13/0.99  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.13/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.99  # Starting new_bool_3 with 300s (1) cores
% 3.13/0.99  # Starting new_bool_1 with 300s (1) cores
% 3.13/0.99  # Starting sh5l with 300s (1) cores
% 3.13/0.99  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15845 completed with status 0
% 3.13/0.99  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.13/0.99  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.13/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.99  # No SInE strategy applied
% 3.13/0.99  # Search class: FGHSM-SSLM33-MFFFFFNN
% 3.13/0.99  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.13/0.99  # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.13/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.13/0.99  # Starting new_bool_3 with 136s (1) cores
% 3.13/0.99  # Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 3.13/0.99  # Starting G-E--_207_B07_F1_AE_CS_SP_PS_S0Y with 136s (1) cores
% 3.13/0.99  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 15853 completed with status 0
% 3.13/0.99  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.13/0.99  # Preprocessing class: FMLMSMSMSSSNFFN.
% 3.13/0.99  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.99  # No SInE strategy applied
% 3.13/0.99  # Search class: FGHSM-SSLM33-MFFFFFNN
% 3.13/0.99  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.13/0.99  # Starting G-E--_208_B07AMC_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 3.13/0.99  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.13/0.99  # Preprocessing time       : 0.011 s
% 3.13/0.99  # Presaturation interreduction done
% 3.13/0.99  
% 3.13/0.99  # Proof found!
% 3.13/0.99  # SZS status Unsatisfiable
% 3.13/0.99  # SZS output start CNFRefutation
% See solution above
% 3.13/0.99  # Parsed axioms                        : 1374
% 3.13/0.99  # Removed by relevancy pruning/SinE    : 0
% 3.13/0.99  # Initial clauses                      : 1374
% 3.13/0.99  # Removed in clause preprocessing      : 1
% 3.13/0.99  # Initial clauses in saturation        : 1373
% 3.13/0.99  # Processed clauses                    : 6508
% 3.13/0.99  # ...of these trivial                  : 99
% 3.13/0.99  # ...subsumed                          : 3104
% 3.13/0.99  # ...remaining for further processing  : 3305
% 3.13/0.99  # Other redundant clauses eliminated   : 34
% 3.13/0.99  # Clauses deleted for lack of memory   : 0
% 3.13/0.99  # Backward-subsumed                    : 74
% 3.13/0.99  # Backward-rewritten                   : 102
% 3.13/0.99  # Generated clauses                    : 10962
% 3.13/0.99  # ...of the previous two non-redundant : 9586
% 3.13/0.99  # ...aggressively subsumed             : 0
% 3.13/0.99  # Contextual simplify-reflections      : 3
% 3.13/0.99  # Paramodulations                      : 10894
% 3.13/0.99  # Factorizations                       : 4
% 3.13/0.99  # NegExts                              : 0
% 3.13/0.99  # Equation resolutions                 : 64
% 3.13/0.99  # Total rewrite steps                  : 2634
% 3.13/0.99  # Propositional unsat checks           : 0
% 3.13/0.99  #    Propositional check models        : 0
% 3.13/0.99  #    Propositional check unsatisfiable : 0
% 3.13/0.99  #    Propositional clauses             : 0
% 3.13/0.99  #    Propositional clauses after purity: 0
% 3.13/0.99  #    Propositional unsat core size     : 0
% 3.13/0.99  #    Propositional preprocessing time  : 0.000
% 3.13/0.99  #    Propositional encoding time       : 0.000
% 3.13/0.99  #    Propositional solver time         : 0.000
% 3.13/0.99  #    Success case prop preproc time    : 0.000
% 3.13/0.99  #    Success case prop encoding time   : 0.000
% 3.13/0.99  #    Success case prop solver time     : 0.000
% 3.13/0.99  # Current number of processed clauses  : 1794
% 3.13/0.99  #    Positive orientable unit clauses  : 275
% 3.13/0.99  #    Positive unorientable unit clauses: 0
% 3.13/0.99  #    Negative unit clauses             : 137
% 3.13/0.99  #    Non-unit-clauses                  : 1382
% 3.13/0.99  # Current number of unprocessed clauses: 5463
% 3.13/0.99  # ...number of literals in the above   : 11759
% 3.13/0.99  # Current number of archived formulas  : 0
% 3.13/0.99  # Current number of archived clauses   : 1511
% 3.13/0.99  # Clause-clause subsumption calls (NU) : 1583981
% 3.13/0.99  # Rec. Clause-clause subsumption calls : 1484600
% 3.13/0.99  # Non-unit clause-clause subsumptions  : 2958
% 3.13/0.99  # Unit Clause-clause subsumption calls : 35465
% 3.13/0.99  # Rewrite failures with RHS unbound    : 0
% 3.13/0.99  # BW rewrite match attempts            : 250
% 3.13/0.99  # BW rewrite match successes           : 81
% 3.13/0.99  # Condensation attempts                : 0
% 3.13/0.99  # Condensation successes               : 0
% 3.13/0.99  # Termbank termtop insertions          : 179438
% 3.13/0.99  
% 3.13/0.99  # -------------------------------------------------
% 3.13/0.99  # User time                : 0.343 s
% 3.13/0.99  # System time              : 0.016 s
% 3.13/0.99  # Total time               : 0.359 s
% 3.13/0.99  # Maximum resident set size: 3748 pages
% 3.13/0.99  
% 3.13/0.99  # -------------------------------------------------
% 3.13/0.99  # User time                : 1.672 s
% 3.13/0.99  # System time              : 0.065 s
% 3.13/0.99  # Total time               : 1.736 s
% 3.13/0.99  # Maximum resident set size: 2412 pages
% 3.13/0.99  % E---3.1 exiting
%------------------------------------------------------------------------------