TSTP Solution File: SYN069-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:13:40 EDT 2023

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   29 (   5 unt;   7 nHn;  29 RR)
%            Number of literals    :   77 (   0 equ;  46 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause_4,axiom,
    ( ~ big_l(X1)
    | ~ big_k(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_4) ).

cnf(clause_6,axiom,
    ( big_l(X1)
    | ~ big_h(a,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_6) ).

cnf(clause_1,axiom,
    ( big_g(f(X1))
    | big_k(X2)
    | ~ big_f(X1)
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_1) ).

cnf(clause_9,negated_conjecture,
    ( big_h(X1,g(X1))
    | ~ big_f(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_9) ).

cnf(clause_8,negated_conjecture,
    ( big_g(g(X1))
    | ~ big_f(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_8) ).

cnf(clause_2,axiom,
    ( big_h(X1,f(X1))
    | big_k(X2)
    | ~ big_f(X1)
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_2) ).

cnf(clause_5,axiom,
    big_f(a),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_5) ).

cnf(clause_3,axiom,
    ( big_k(X2)
    | ~ big_f(X1)
    | ~ big_j(X1,f(X1))
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_3) ).

cnf(clause_7,axiom,
    ( big_j(a,X1)
    | ~ big_g(X1)
    | ~ big_h(a,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p',clause_7) ).

cnf(c_0_9,axiom,
    ( ~ big_l(X1)
    | ~ big_k(X1) ),
    clause_4 ).

cnf(c_0_10,axiom,
    ( big_l(X1)
    | ~ big_h(a,X1) ),
    clause_6 ).

cnf(c_0_11,axiom,
    ( big_g(f(X1))
    | big_k(X2)
    | ~ big_f(X1)
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    clause_1 ).

cnf(c_0_12,negated_conjecture,
    ( big_h(X1,g(X1))
    | ~ big_f(X1) ),
    clause_9 ).

cnf(c_0_13,negated_conjecture,
    ( big_g(g(X1))
    | ~ big_f(X1) ),
    clause_8 ).

cnf(c_0_14,axiom,
    ( big_h(X1,f(X1))
    | big_k(X2)
    | ~ big_f(X1)
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    clause_2 ).

cnf(c_0_15,plain,
    ( ~ big_k(X1)
    | ~ big_h(a,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_16,negated_conjecture,
    ( big_k(g(X1))
    | big_g(f(X1))
    | ~ big_f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( big_k(g(X1))
    | big_h(X1,f(X1))
    | ~ big_f(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_12]),c_0_13]) ).

cnf(c_0_18,axiom,
    big_f(a),
    clause_5 ).

cnf(c_0_19,negated_conjecture,
    ( big_g(f(X1))
    | ~ big_h(a,g(X1))
    | ~ big_f(X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( big_k(g(a))
    | big_h(a,f(a)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    ( big_k(X2)
    | ~ big_f(X1)
    | ~ big_j(X1,f(X1))
    | ~ big_g(X2)
    | ~ big_h(X1,X2) ),
    clause_3 ).

cnf(c_0_22,axiom,
    ( big_j(a,X1)
    | ~ big_g(X1)
    | ~ big_h(a,X1) ),
    clause_7 ).

cnf(c_0_23,negated_conjecture,
    big_g(f(a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_12]),c_0_18])]) ).

cnf(c_0_24,negated_conjecture,
    ( big_h(a,f(a))
    | ~ big_h(a,g(a)) ),
    inference(spm,[status(thm)],[c_0_15,c_0_20]) ).

cnf(c_0_25,plain,
    ( ~ big_h(a,f(a))
    | ~ big_h(a,X1)
    | ~ big_g(X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_18]),c_0_23])]),c_0_15]) ).

cnf(c_0_26,negated_conjecture,
    big_h(a,f(a)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_12]),c_0_18])]) ).

cnf(c_0_27,plain,
    ( ~ big_h(a,X1)
    | ~ big_g(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_23]),c_0_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.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 18:45:30 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.qBfylHwtaF/E---3.1_7918.p
% 0.20/0.48  # Version: 3.1pre001
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # sh5l with pid 7999 completed with status 0
% 0.20/0.48  # Result found by sh5l
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 8006 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.20/0.48  # Search class: FGHNF-FFSF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 9
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 9
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 9
% 0.20/0.48  # Processed clauses                    : 28
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 0
% 0.20/0.48  # ...remaining for further processing  : 28
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 1
% 0.20/0.48  # Backward-rewritten                   : 3
% 0.20/0.48  # Generated clauses                    : 13
% 0.20/0.48  # ...of the previous two non-redundant : 11
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 3
% 0.20/0.48  # Paramodulations                      : 13
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Total rewrite steps                  : 14
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 15
% 0.20/0.48  #    Positive orientable unit clauses  : 3
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 0
% 0.20/0.48  #    Non-unit-clauses                  : 12
% 0.20/0.48  # Current number of unprocessed clauses: 0
% 0.20/0.48  # ...number of literals in the above   : 0
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 13
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 81
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 35
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 4
% 0.20/0.48  # Unit Clause-clause subsumption calls : 0
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 1
% 0.20/0.48  # BW rewrite match successes           : 1
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 555
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.000 s
% 0.20/0.48  # Total time               : 0.004 s
% 0.20/0.48  # Maximum resident set size: 1668 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.005 s
% 0.20/0.48  # System time              : 0.002 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1676 pages
% 0.20/0.48  % E---3.1 exiting
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------