TSTP Solution File: SEV436-1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SEV436-1 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n032.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 : Mon Jun 24 15:55:56 EDT 2024

% Result   : Satisfiable 0.14s 0.39s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named union_axiom1)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_0_24,axiom,
    ( union(X1,X2,X3)
    | member(g(X1,X2,X3),X1)
    | member(g(X1,X2,X3),X2)
    | member(g(X1,X2,X3),X3) ),
    union_axiom1,
    [final] ).

cnf(c_0_26,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X2) ),
    intersection_axiom2,
    [final] ).

cnf(c_0_30,axiom,
    ( difference(X1,X2,X3)
    | member(k(X1,X2,X3),X1)
    | member(k(X1,X2,X3),X3) ),
    difference_axiom2,
    [final] ).

cnf(c_0_32,axiom,
    ( member(h(X1,X2,X3),X3)
    | intersection(X1,X2,X3)
    | member(h(X1,X2,X3),X1) ),
    intersection_axiom1,
    [final] ).

cnf(c_0_34,plain,
    ( intersection(X1,X2,X3)
    | ~ member(h(X1,X2,X3),X3)
    | ~ member(h(X1,X2,X3),X2)
    | ~ member(h(X1,X2,X3),X1) ),
    c_0_25,
    [final] ).

cnf(c_0_35,plain,
    ( intersection(X1,X2,X2)
    | member(h(X1,X2,X2),X2) ),
    inference(ef,[status(thm)],[c_0_26]),
    [final] ).

cnf(c_0_37,plain,
    ( union(X1,X2,X3)
    | ~ member(g(X1,X2,X3),X1)
    | ~ member(g(X1,X2,X3),X3) ),
    c_0_27,
    [final] ).

cnf(c_0_39,plain,
    ( union(X1,X2,X3)
    | ~ member(g(X1,X2,X3),X2)
    | ~ member(g(X1,X2,X3),X3) ),
    c_0_28,
    [final] ).

cnf(c_0_40,plain,
    ( member(k(X1,X2,X3),X2)
    | difference(X1,X2,X3)
    | ~ member(k(X1,X2,X3),X3)
    | ~ member(k(X1,X2,X3),X1) ),
    c_0_29,
    [final] ).

cnf(c_0_41,plain,
    ( difference(X1,X2,X1)
    | member(k(X1,X2,X1),X1) ),
    inference(ef,[status(thm)],[c_0_30]),
    [final] ).

cnf(c_0_42,plain,
    ( member(k(X1,X2,X3),X3)
    | difference(X1,X2,X3)
    | ~ member(k(X1,X2,X3),X2) ),
    c_0_31,
    [final] ).

cnf(c_0_43,plain,
    ( intersection(X1,X2,X1)
    | member(h(X1,X2,X1),X1) ),
    inference(ef,[status(thm)],[c_0_32]),
    [final] ).

cnf(c_0_58,plain,
    ( intersection(X1,X2,X2)
    | ~ member(h(X1,X2,X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_35]),
    [final] ).

cnf(c_0_59,plain,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    c_0_36,
    [final] ).

cnf(c_0_60,axiom,
    ( subset(X1,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ),
    subsets_axiom1,
    [final] ).

cnf(c_0_61,plain,
    ( union(X1,X1,X2)
    | member(g(X1,X1,X2),X1)
    | member(g(X1,X1,X2),X2) ),
    inference(ef,[status(thm)],[c_0_24]),
    [final] ).

cnf(c_0_62,plain,
    ( union(X1,X2,X1)
    | member(g(X1,X2,X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_38]),
    [final] ).

cnf(c_0_63,plain,
    ( union(X1,X2,X2)
    | member(g(X1,X2,X2),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_33]),c_0_33]),
    [final] ).

cnf(c_0_64,plain,
    ( difference(X1,X2,X1)
    | member(k(X1,X2,X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_41]),
    [final] ).

cnf(c_0_65,plain,
    ( difference(X1,X1,X2)
    | member(k(X1,X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_30]),
    [final] ).

cnf(c_0_66,plain,
    ( intersection(X1,X2,X1)
    | ~ member(h(X1,X2,X1),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_43]),c_0_43]),
    [final] ).

cnf(c_0_67,plain,
    ( member(X1,X4)
    | member(X1,X3)
    | ~ member(X1,X2)
    | ~ difference(X2,X3,X4) ),
    c_0_44,
    [final] ).

cnf(c_0_68,plain,
    ( member(X4,X1)
    | member(X4,X2)
    | ~ union(X1,X2,X3)
    | ~ member(X4,X3) ),
    c_0_45,
    [final] ).

cnf(c_0_69,plain,
    ( member(X4,X3)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X2)
    | ~ member(X4,X1) ),
    c_0_46,
    [final] ).

cnf(c_0_70,plain,
    ( member(X4,X1)
    | ~ difference(X1,X2,X3)
    | ~ member(X4,X3) ),
    c_0_47,
    [final] ).

cnf(c_0_71,plain,
    ( member(X4,X1)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X3) ),
    c_0_48,
    [final] ).

cnf(c_0_72,plain,
    ( member(X4,X2)
    | ~ intersection(X1,X2,X3)
    | ~ member(X4,X3) ),
    c_0_49,
    [final] ).

cnf(c_0_73,plain,
    ( member(X4,X3)
    | ~ union(X1,X2,X3)
    | ~ member(X4,X1) ),
    c_0_50,
    [final] ).

cnf(c_0_74,plain,
    ( member(X4,X3)
    | ~ union(X1,X2,X3)
    | ~ member(X4,X2) ),
    c_0_51,
    [final] ).

cnf(c_0_75,plain,
    ( member(X1,X3)
    | ~ member(X1,X2)
    | ~ subset(X2,X3) ),
    c_0_52,
    [final] ).

cnf(c_0_76,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | ~ difference(X4,X2,X3) ),
    c_0_53,
    [final] ).

cnf(c_0_77,plain,
    ( equal_sets(X2,X1)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    c_0_54,
    [final] ).

cnf(c_0_78,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    c_0_55,
    [final] ).

cnf(c_0_79,plain,
    ( subset(X2,X1)
    | ~ equal_sets(X1,X2) ),
    c_0_56,
    [final] ).

cnf(c_0_80,plain,
    union(X1,X1,X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_57]),c_0_57]),
    [final] ).

cnf(c_0_81,plain,
    intersection(X1,X1,X1),
    inference(spm,[status(thm)],[c_0_58,c_0_35]),
    [final] ).

cnf(c_0_82,plain,
    subset(X1,X1),
    inference(spm,[status(thm)],[c_0_59,c_0_60]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : SEV436-1 : TPTP v8.2.0. Released v6.4.0.
% 0.00/0.09  % Command    : run_E %s %d SAT
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Fri Jun 21 19:00:23 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.14/0.38  Running first-order model finding
% 0.14/0.38  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.7HFTImTdiU/E---3.1_28771.p
% 0.14/0.39  # Version: 3.2.0
% 0.14/0.39  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39  # Starting new_bool_3 with 300s (1) cores
% 0.14/0.39  # Starting new_bool_1 with 300s (1) cores
% 0.14/0.39  # Starting sh5l with 300s (1) cores
% 0.14/0.39  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28848 completed with status 1
% 0.14/0.39  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.14/0.39  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39  # No SInE strategy applied
% 0.14/0.39  # Search class: FGHNF-FFMF32-SFFFFFNN
% 0.14/0.39  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 285s (1) cores
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.14/0.39  # Starting new_bool_3 with 267s (1) cores
% 0.14/0.39  # Starting new_bool_1 with 267s (1) cores
% 0.14/0.39  # Starting sh5l with 267s (1) cores
% 0.14/0.39  # G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with pid 28855 completed with status 1
% 0.14/0.39  # Result found by G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N
% 0.14/0.39  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.14/0.39  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.14/0.39  # No SInE strategy applied
% 0.14/0.39  # Search class: FGHNF-FFMF32-SFFFFFNN
% 0.14/0.39  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.39  # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 285s (1) cores
% 0.14/0.39  # Preprocessing time       : 0.001 s
% 0.14/0.39  # Presaturation interreduction done
% 0.14/0.39  
% 0.14/0.39  # No proof found!
% 0.14/0.39  # SZS status Satisfiable
% 0.14/0.39  # SZS output start Saturation
% See solution above
% 0.14/0.39  # Parsed axioms                        : 24
% 0.14/0.39  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.39  # Initial clauses                      : 24
% 0.14/0.39  # Removed in clause preprocessing      : 0
% 0.14/0.39  # Initial clauses in saturation        : 24
% 0.14/0.39  # Processed clauses                    : 77
% 0.14/0.39  # ...of these trivial                  : 1
% 0.14/0.39  # ...subsumed                          : 12
% 0.14/0.39  # ...remaining for further processing  : 64
% 0.14/0.39  # Other redundant clauses eliminated   : 0
% 0.14/0.39  # Clauses deleted for lack of memory   : 0
% 0.14/0.39  # Backward-subsumed                    : 2
% 0.14/0.39  # Backward-rewritten                   : 1
% 0.14/0.39  # Generated clauses                    : 61
% 0.14/0.39  # ...of the previous two non-redundant : 30
% 0.14/0.39  # ...aggressively subsumed             : 0
% 0.14/0.39  # Contextual simplify-reflections      : 6
% 0.14/0.39  # Paramodulations                      : 43
% 0.14/0.39  # Factorizations                       : 18
% 0.14/0.39  # NegExts                              : 0
% 0.14/0.39  # Equation resolutions                 : 0
% 0.14/0.39  # Disequality decompositions           : 0
% 0.14/0.39  # Total rewrite steps                  : 13
% 0.14/0.39  # ...of those cached                   : 9
% 0.14/0.39  # Propositional unsat checks           : 0
% 0.14/0.39  #    Propositional check models        : 0
% 0.14/0.39  #    Propositional check unsatisfiable : 0
% 0.14/0.39  #    Propositional clauses             : 0
% 0.14/0.39  #    Propositional clauses after purity: 0
% 0.14/0.39  #    Propositional unsat core size     : 0
% 0.14/0.39  #    Propositional preprocessing time  : 0.000
% 0.14/0.39  #    Propositional encoding time       : 0.000
% 0.14/0.39  #    Propositional solver time         : 0.000
% 0.14/0.39  #    Success case prop preproc time    : 0.000
% 0.14/0.39  #    Success case prop encoding time   : 0.000
% 0.14/0.39  #    Success case prop solver time     : 0.000
% 0.14/0.39  # Current number of processed clauses  : 37
% 0.14/0.39  #    Positive orientable unit clauses  : 3
% 0.14/0.39  #    Positive unorientable unit clauses: 0
% 0.14/0.39  #    Negative unit clauses             : 0
% 0.14/0.39  #    Non-unit-clauses                  : 34
% 0.14/0.39  # Current number of unprocessed clauses: 0
% 0.14/0.39  # ...number of literals in the above   : 0
% 0.14/0.39  # Current number of archived formulas  : 0
% 0.14/0.39  # Current number of archived clauses   : 27
% 0.14/0.39  # Clause-clause subsumption calls (NU) : 390
% 0.14/0.39  # Rec. Clause-clause subsumption calls : 262
% 0.14/0.39  # Non-unit clause-clause subsumptions  : 20
% 0.14/0.39  # Unit Clause-clause subsumption calls : 13
% 0.14/0.39  # Rewrite failures with RHS unbound    : 0
% 0.14/0.39  # BW rewrite match attempts            : 13
% 0.14/0.39  # BW rewrite match successes           : 1
% 0.14/0.39  # Condensation attempts                : 0
% 0.14/0.39  # Condensation successes               : 0
% 0.14/0.39  # Termbank termtop insertions          : 1760
% 0.14/0.39  # Search garbage collected termcells   : 65
% 0.14/0.39  
% 0.14/0.39  # -------------------------------------------------
% 0.14/0.39  # User time                : 0.004 s
% 0.14/0.39  # System time              : 0.001 s
% 0.14/0.39  # Total time               : 0.005 s
% 0.14/0.39  # Maximum resident set size: 1636 pages
% 0.14/0.39  
% 0.14/0.39  # -------------------------------------------------
% 0.14/0.39  # User time                : 0.018 s
% 0.14/0.39  # System time              : 0.002 s
% 0.14/0.39  # Total time               : 0.019 s
% 0.14/0.39  # Maximum resident set size: 1708 pages
% 0.14/0.39  % E---3.1 exiting
% 0.14/0.39  % E exiting
%------------------------------------------------------------------------------