TSTP Solution File: SYO691-1.000 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 10:40:09 EDT 2024

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   29 (  10 unt;   0 nHn;  18 RR)
%            Number of literals    :   57 (   0 equ;  33 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   78 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rewrite_sequence_succ,axiom,
    ( seq(succ(X1),X2,X4)
    | ~ seq(X1,X2,X3)
    | ~ step(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rewrite_sequence_succ) ).

cnf(rewrite_sequence_zero,axiom,
    seq(zero,X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rewrite_sequence_zero) ).

cnf(rewrite_right,axiom,
    ( step(f(X3,X1),f(X3,X2))
    | ~ step(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rewrite_right) ).

cnf(rewrite_left,axiom,
    ( step(f(X1,X3),f(X2,X3))
    | ~ step(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rewrite_left) ).

cnf(rewrite_top,axiom,
    ( step(X1,X2)
    | ~ top(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rewrite_top) ).

cnf(rule_1,axiom,
    top(f(f(X1,X2),f(X3,a)),f(f(X3,f(X2,a)),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',rule_1) ).

cnf(prove,negated_conjecture,
    ~ seq(succ(succ(succ(zero))),X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.w4osKhBtnU/E---3.1_5893.p',prove) ).

cnf(c_0_7,plain,
    ( seq(succ(X1),X2,X4)
    | ~ seq(X1,X2,X3)
    | ~ step(X3,X4) ),
    inference(fof_simplification,[status(thm)],[rewrite_sequence_succ]) ).

cnf(c_0_8,plain,
    ( seq(succ(X1),X2,X4)
    | ~ seq(X1,X2,X3)
    | ~ step(X3,X4) ),
    c_0_7 ).

cnf(c_0_9,axiom,
    seq(zero,X1,X1),
    rewrite_sequence_zero ).

cnf(c_0_10,plain,
    ( seq(succ(zero),X1,X2)
    | ~ step(X1,X2) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    ( step(f(X3,X1),f(X3,X2))
    | ~ step(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rewrite_right]) ).

cnf(c_0_12,plain,
    ( seq(succ(succ(zero)),X1,X2)
    | ~ step(X3,X2)
    | ~ step(X1,X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_13,plain,
    ( step(f(X3,X1),f(X3,X2))
    | ~ step(X1,X2) ),
    c_0_11 ).

cnf(c_0_14,plain,
    ( step(f(X1,X3),f(X2,X3))
    | ~ step(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rewrite_left]) ).

cnf(c_0_15,plain,
    ( seq(succ(succ(zero)),X1,f(X2,X3))
    | ~ step(X1,f(X2,X4))
    | ~ step(X4,X3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( step(f(X1,X3),f(X2,X3))
    | ~ step(X1,X2) ),
    c_0_14 ).

cnf(c_0_17,plain,
    ( step(X1,X2)
    | ~ top(X1,X2) ),
    inference(fof_simplification,[status(thm)],[rewrite_top]) ).

cnf(c_0_18,plain,
    ( seq(succ(succ(zero)),f(X1,X2),f(X3,X4))
    | ~ step(X2,X4)
    | ~ step(X1,X3) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    ( step(X1,X2)
    | ~ top(X1,X2) ),
    c_0_17 ).

cnf(c_0_20,axiom,
    top(f(f(X1,X2),f(X3,a)),f(f(X3,f(X2,a)),X1)),
    rule_1 ).

cnf(c_0_21,negated_conjecture,
    ~ seq(succ(succ(succ(zero))),X1,X1),
    inference(fof_simplification,[status(thm)],[prove]) ).

cnf(c_0_22,plain,
    ( seq(succ(succ(succ(zero))),f(X1,X2),X3)
    | ~ step(f(X4,X5),X3)
    | ~ step(X2,X5)
    | ~ step(X1,X4) ),
    inference(spm,[status(thm)],[c_0_8,c_0_18]) ).

cnf(c_0_23,plain,
    step(f(f(X1,X2),f(X3,a)),f(f(X3,f(X2,a)),X1)),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ~ seq(succ(succ(succ(zero))),X1,X1),
    c_0_21 ).

cnf(c_0_25,plain,
    ( seq(succ(succ(succ(zero))),f(X1,X2),f(f(X3,f(X4,a)),X5))
    | ~ step(X2,f(X3,a))
    | ~ step(X1,f(X5,X4)) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ step(f(X1,f(X2,a)),f(X3,X2))
    | ~ step(X3,f(X1,a)) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ~ step(f(X1,f(X2,a)),f(f(X1,X2),a)),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_27,c_0_23]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SYO691-1.000 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n027.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 10:13:51 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.w4osKhBtnU/E---3.1_5893.p
% 0.20/0.51  # Version: 3.1.0
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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 6073 completed with status 0
% 0.20/0.51  # Result found by sh5l
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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: FHUNS-FFSF21-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 163s (1) cores
% 0.20/0.51  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 6081 completed with status 0
% 0.20/0.51  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN 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: FHUNS-FFSF21-MFFFFFNN
% 0.20/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 163s (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                        : 7
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 7
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 7
% 0.20/0.51  # Processed clauses                    : 58
% 0.20/0.51  # ...of these trivial                  : 0
% 0.20/0.51  # ...subsumed                          : 3
% 0.20/0.51  # ...remaining for further processing  : 55
% 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                    : 88
% 0.20/0.51  # ...of the previous two non-redundant : 87
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 83
% 0.20/0.51  # Factorizations                       : 0
% 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                  : 0
% 0.20/0.51  # ...of those cached                   : 0
% 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  : 46
% 0.20/0.51  #    Positive orientable unit clauses  : 3
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 3
% 0.20/0.51  #    Non-unit-clauses                  : 40
% 0.20/0.51  # Current number of unprocessed clauses: 43
% 0.20/0.51  # ...number of literals in the above   : 133
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 7
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 940
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 789
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.51  # Unit Clause-clause subsumption calls : 84
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 0
% 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          : 2392
% 0.20/0.51  # Search garbage collected termcells   : 14
% 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               : 0.009 s
% 0.20/0.51  # Maximum resident set size: 1608 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.007 s
% 0.20/0.51  # System time              : 0.005 s
% 0.20/0.51  # Total time               : 0.012 s
% 0.20/0.51  # Maximum resident set size: 1700 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------