TSTP Solution File: SET008-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n009.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 09:21:26 EDT 2024

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   20 (   9 unt;   6 nHn;  14 RR)
%            Number of literals    :   38 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-3 aty)
%            Number of variables   :   33 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_member_of_difference,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ difference(X4,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',not_member_of_difference) ).

cnf(prove_aI_bDa_is_empty,negated_conjecture,
    ~ member(X1,aI_bDa),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',prove_aI_bDa_is_empty) ).

cnf(b_minus_a,hypothesis,
    difference(b,a,bDa),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',b_minus_a) ).

cnf(intersection_axiom2,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',intersection_axiom2) ).

cnf(intersection_axiom1,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',intersection_axiom1) ).

cnf(a_intersection_bDa,negated_conjecture,
    ~ intersection(a,bDa,aI_bDa),
    file('/export/starexec/sandbox2/tmp/tmp.w17aGkJ4UF/E---3.1_28507.p',a_intersection_bDa) ).

cnf(c_0_6,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ difference(X4,X2,X3) ),
    inference(fof_simplification,[status(thm)],[not_member_of_difference]) ).

cnf(c_0_7,negated_conjecture,
    ~ member(X1,aI_bDa),
    inference(fof_simplification,[status(thm)],[prove_aI_bDa_is_empty]) ).

cnf(c_0_8,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ difference(X4,X2,X3) ),
    c_0_6 ).

cnf(c_0_9,hypothesis,
    difference(b,a,bDa),
    b_minus_a ).

cnf(c_0_10,negated_conjecture,
    ~ member(X1,aI_bDa),
    c_0_7 ).

cnf(c_0_11,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X2) ),
    intersection_axiom2 ).

cnf(c_0_12,hypothesis,
    ( ~ member(X1,bDa)
    | ~ member(X1,a) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    ( intersection(X1,X2,aI_bDa)
    | member(h(X1,X2,aI_bDa),X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X1) ),
    intersection_axiom1 ).

cnf(c_0_15,negated_conjecture,
    ~ intersection(a,bDa,aI_bDa),
    inference(fof_simplification,[status(thm)],[a_intersection_bDa]) ).

cnf(c_0_16,hypothesis,
    ( intersection(X1,bDa,aI_bDa)
    | ~ member(h(X1,bDa,aI_bDa),a) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( intersection(X1,X2,aI_bDa)
    | member(h(X1,X2,aI_bDa),X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ intersection(a,bDa,aI_bDa),
    c_0_15 ).

cnf(c_0_19,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SET008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n009.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   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 10:14:25 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  Running first-order model finding
% 0.20/0.50  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.w17aGkJ4UF/E---3.1_28507.p
% 0.20/0.51  # Version: 3.1.0
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # sh5l with pid 28651 completed with status 0
% 0.20/0.51  # Result found by sh5l
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.51  # Search class: FGHNF-FFMF32-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 64s (1) cores
% 0.20/0.51  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 28659 completed with status 0
% 0.20/0.51  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.20/0.51  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.51  # Search class: FGHNF-FFMF32-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 64s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 21
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 21
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 21
% 0.20/0.51  # Processed clauses                    : 67
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 6
% 0.20/0.51  # ...remaining for further processing  : 61
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 0
% 0.20/0.51  # Generated clauses                    : 74
% 0.20/0.51  # ...of the previous two non-redundant : 57
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 68
% 0.20/0.51  # Factorizations                       : 6
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Disequality decompositions           : 0
% 0.20/0.51  # Total rewrite steps                  : 4
% 0.20/0.51  # ...of those cached                   : 2
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 40
% 0.20/0.51  #    Positive orientable unit clauses  : 6
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 2
% 0.20/0.51  #    Non-unit-clauses                  : 32
% 0.20/0.51  # Current number of unprocessed clauses: 30
% 0.20/0.51  # ...number of literals in the above   : 91
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 21
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 159
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 111
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 2
% 0.20/0.51  # Unit Clause-clause subsumption calls : 29
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 6
% 0.20/0.51  # BW rewrite match successes           : 0
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 1742
% 0.20/0.51  # Search garbage collected termcells   : 56
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.007 s
% 0.20/0.51  # System time              : 0.001 s
% 0.20/0.51  # Total time               : 0.008 s
% 0.20/0.51  # Maximum resident set size: 1584 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.009 s
% 0.20/0.51  # System time              : 0.003 s
% 0.20/0.51  # Total time               : 0.011 s
% 0.20/0.51  # Maximum resident set size: 1704 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------