TSTP Solution File: LAT394-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 18:11:11 EDT 2023

% Result   : Unsatisfiable 0.20s 0.59s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   32 (  32 unt;   0 nHn;   3 RR)
%            Number of literals    :   32 (  31 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   70 (  20 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sos,axiom,
    f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.7Nlxd9snES/E---3.1_510.p',sos) ).

cnf(goals,negated_conjecture,
    f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
    file('/export/starexec/sandbox2/tmp/tmp.7Nlxd9snES/E---3.1_510.p',goals) ).

cnf(c_0_2,axiom,
    f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
    sos ).

cnf(c_0_3,plain,
    f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) = f(X1,X2),
    inference(spm,[status(thm)],[c_0_2,c_0_2]) ).

cnf(c_0_4,plain,
    f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)),
    inference(spm,[status(thm)],[c_0_3,c_0_2]) ).

cnf(c_0_5,plain,
    f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_4,c_0_2]) ).

cnf(c_0_6,plain,
    f(f(X1,X1),f(X1,X1)) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_5]) ).

cnf(c_0_7,plain,
    f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = X1,
    inference(spm,[status(thm)],[c_0_2,c_0_6]) ).

cnf(c_0_8,plain,
    f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2),
    inference(spm,[status(thm)],[c_0_3,c_0_7]) ).

cnf(c_0_9,plain,
    f(f(X1,X2),f(X1,X1)) = X1,
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_10,plain,
    f(X1,f(f(X1,X1),X2)) = f(X1,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_9]),c_0_9]) ).

cnf(c_0_11,plain,
    f(f(X1,X1),f(X1,X2)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_7]),c_0_10]),c_0_10]) ).

cnf(c_0_12,plain,
    f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_2]) ).

cnf(c_0_13,plain,
    f(f(X1,X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
    inference(spm,[status(thm)],[c_0_2,c_0_7]) ).

cnf(c_0_14,plain,
    f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2),
    inference(spm,[status(thm)],[c_0_11,c_0_7]) ).

cnf(c_0_15,plain,
    f(f(X1,X2),f(X2,X2)) = X2,
    inference(spm,[status(thm)],[c_0_12,c_0_7]) ).

cnf(c_0_16,plain,
    f(f(X1,X2),f(X2,f(f(X1,X1),X1))) = X2,
    inference(spm,[status(thm)],[c_0_13,c_0_13]) ).

cnf(c_0_17,plain,
    f(f(X1,X1),f(X2,X1)) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) = f(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_9]) ).

cnf(c_0_19,plain,
    f(X1,f(X2,f(X1,X1))) = f(X1,X1),
    inference(spm,[status(thm)],[c_0_17,c_0_17]) ).

cnf(c_0_20,plain,
    f(f(X1,X2),f(X1,f(f(X3,X3),X3))) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_18]),c_0_19]),c_0_15]) ).

cnf(c_0_21,plain,
    f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_15]),c_0_10]),c_0_10]) ).

cnf(c_0_22,plain,
    f(X1,X1) = f(X1,f(f(X2,X2),X2)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_20]) ).

cnf(c_0_23,plain,
    f(X1,f(f(X2,X1),f(X1,f(X1,X1)))) = f(X2,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_9]) ).

cnf(c_0_24,plain,
    f(f(f(X1,X1),X1),X2) = f(X2,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_6]) ).

cnf(c_0_25,plain,
    f(f(X1,X1),X1) = f(X1,f(X1,X1)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_8]) ).

cnf(c_0_26,plain,
    f(f(X1,f(X2,X2)),X2) = f(X2,X2),
    inference(spm,[status(thm)],[c_0_15,c_0_15]) ).

cnf(c_0_27,plain,
    f(f(X1,f(X2,f(X2,X2))),f(X3,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_25]) ).

cnf(c_0_28,plain,
    f(f(X1,X2),f(X2,f(X3,f(X3,X3)))) = X2,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_20]),c_0_25]) ).

cnf(c_0_29,negated_conjecture,
    f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
    goals ).

cnf(c_0_30,plain,
    f(X1,f(X1,X1)) = f(X2,f(X2,X2)),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_29,c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 10:11:37 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.7Nlxd9snES/E---3.1_510.p
% 0.20/0.59  # Version: 3.1pre001
% 0.20/0.59  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # Starting sh5l with 300s (1) cores
% 0.20/0.59  # new_bool_1 with pid 682 completed with status 0
% 0.20/0.59  # Result found by new_bool_1
% 0.20/0.59  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.20/0.59  # U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 687 completed with status 0
% 0.20/0.59  # Result found by U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.59  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.59  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.59  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.59  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.59  # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.20/0.59  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.59  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.20/0.59  # Preprocessing time       : 0.001 s
% 0.20/0.59  # Presaturation interreduction done
% 0.20/0.59  
% 0.20/0.59  # Proof found!
% 0.20/0.59  # SZS status Unsatisfiable
% 0.20/0.59  # SZS output start CNFRefutation
% See solution above
% 0.20/0.59  # Parsed axioms                        : 5
% 0.20/0.59  # Removed by relevancy pruning/SinE    : 3
% 0.20/0.59  # Initial clauses                      : 2
% 0.20/0.59  # Removed in clause preprocessing      : 0
% 0.20/0.59  # Initial clauses in saturation        : 2
% 0.20/0.59  # Processed clauses                    : 211
% 0.20/0.59  # ...of these trivial                  : 102
% 0.20/0.59  # ...subsumed                          : 36
% 0.20/0.59  # ...remaining for further processing  : 73
% 0.20/0.59  # Other redundant clauses eliminated   : 0
% 0.20/0.59  # Clauses deleted for lack of memory   : 0
% 0.20/0.59  # Backward-subsumed                    : 0
% 0.20/0.59  # Backward-rewritten                   : 16
% 0.20/0.59  # Generated clauses                    : 9279
% 0.20/0.59  # ...of the previous two non-redundant : 3363
% 0.20/0.59  # ...aggressively subsumed             : 0
% 0.20/0.59  # Contextual simplify-reflections      : 0
% 0.20/0.59  # Paramodulations                      : 9278
% 0.20/0.59  # Factorizations                       : 0
% 0.20/0.59  # NegExts                              : 0
% 0.20/0.59  # Equation resolutions                 : 0
% 0.20/0.59  # Total rewrite steps                  : 9925
% 0.20/0.59  # Propositional unsat checks           : 0
% 0.20/0.59  #    Propositional check models        : 0
% 0.20/0.59  #    Propositional check unsatisfiable : 0
% 0.20/0.59  #    Propositional clauses             : 0
% 0.20/0.59  #    Propositional clauses after purity: 0
% 0.20/0.59  #    Propositional unsat core size     : 0
% 0.20/0.59  #    Propositional preprocessing time  : 0.000
% 0.20/0.59  #    Propositional encoding time       : 0.000
% 0.20/0.59  #    Propositional solver time         : 0.000
% 0.20/0.59  #    Success case prop preproc time    : 0.000
% 0.20/0.59  #    Success case prop encoding time   : 0.000
% 0.20/0.59  #    Success case prop solver time     : 0.000
% 0.20/0.59  # Current number of processed clauses  : 54
% 0.20/0.59  #    Positive orientable unit clauses  : 51
% 0.20/0.59  #    Positive unorientable unit clauses: 3
% 0.20/0.59  #    Negative unit clauses             : 0
% 0.20/0.59  #    Non-unit-clauses                  : 0
% 0.20/0.59  # Current number of unprocessed clauses: 3080
% 0.20/0.59  # ...number of literals in the above   : 3080
% 0.20/0.59  # Current number of archived formulas  : 0
% 0.20/0.59  # Current number of archived clauses   : 19
% 0.20/0.59  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.59  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.59  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.59  # Unit Clause-clause subsumption calls : 219
% 0.20/0.59  # Rewrite failures with RHS unbound    : 0
% 0.20/0.59  # BW rewrite match attempts            : 1189
% 0.20/0.59  # BW rewrite match successes           : 55
% 0.20/0.59  # Condensation attempts                : 0
% 0.20/0.59  # Condensation successes               : 0
% 0.20/0.59  # Termbank termtop insertions          : 105819
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.082 s
% 0.20/0.59  # System time              : 0.003 s
% 0.20/0.59  # Total time               : 0.085 s
% 0.20/0.59  # Maximum resident set size: 1424 pages
% 0.20/0.59  
% 0.20/0.59  # -------------------------------------------------
% 0.20/0.59  # User time                : 0.084 s
% 0.20/0.59  # System time              : 0.005 s
% 0.20/0.59  # Total time               : 0.089 s
% 0.20/0.59  # Maximum resident set size: 1680 pages
% 0.20/0.59  % E---3.1 exiting
%------------------------------------------------------------------------------