TSTP Solution File: SYN561-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN561-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : Tue May 21 08:00:32 EDT 2024

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  15 unt;   0 nHn;  23 RR)
%            Number of literals    :   45 (   0 equ;  24 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_9,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_9) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

cnf(p2_5,negated_conjecture,
    p2(f6(c15,c11),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_5) ).

cnf(not_p9_15,negated_conjecture,
    ( ~ p9(X1,c10)
    | ~ p8(c11,X1)
    | ~ p2(f7(c10,X1),X2)
    | ~ p2(f6(X2,c11),f3(f4(f5(c12)),c13)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p9_15) ).

cnf(p2_6,negated_conjecture,
    p2(f3(f4(f5(c12)),c13),c16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_6) ).

cnf(p2_4,negated_conjecture,
    p2(f7(c10,c14),c15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(p8_3,negated_conjecture,
    p8(c11,c14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8_3) ).

cnf(p9_2,negated_conjecture,
    p9(c14,c10),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9_2) ).

cnf(c_0_8,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p2_9]) ).

cnf(c_0_9,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    c_0_8 ).

cnf(c_0_10,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_11,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    p2(f6(c15,c11),c16),
    p2_5 ).

cnf(c_0_13,negated_conjecture,
    p2(c16,f6(c15,c11)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ p9(X1,c10)
    | ~ p8(c11,X1)
    | ~ p2(f7(c10,X1),X2)
    | ~ p2(f6(X2,c11),f3(f4(f5(c12)),c13)) ),
    inference(fof_simplification,[status(thm)],[not_p9_15]) ).

cnf(c_0_15,negated_conjecture,
    ( p2(X1,f6(c15,c11))
    | ~ p2(c16,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    p2(f3(f4(f5(c12)),c13),c16),
    p2_6 ).

cnf(c_0_17,negated_conjecture,
    ( ~ p9(X1,c10)
    | ~ p8(c11,X1)
    | ~ p2(f7(c10,X1),X2)
    | ~ p2(f6(X2,c11),f3(f4(f5(c12)),c13)) ),
    c_0_14 ).

cnf(c_0_18,negated_conjecture,
    ( p2(f6(c15,c11),X1)
    | ~ p2(c16,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    p2(c16,f3(f4(f5(c12)),c13)),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ p8(c11,X1)
    | ~ p9(X1,c10)
    | ~ p2(f7(c10,X1),c15) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_21,negated_conjecture,
    p2(f7(c10,c14),c15),
    p2_4 ).

cnf(c_0_22,negated_conjecture,
    p8(c11,c14),
    p8_3 ).

cnf(c_0_23,negated_conjecture,
    p9(c14,c10),
    p9_2 ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN561-1 : TPTP v8.2.0. Released v2.5.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.37  % Computer : n005.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Mon May 20 13:47:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  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/benchmark/theBenchmark.p
% 0.21/0.49  # Version: 3.1.0
% 0.21/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49  # Starting sh5l with 300s (1) cores
% 0.21/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13788 completed with status 0
% 0.21/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49  # No SInE strategy applied
% 0.21/0.49  # Search class: FHHNF-FFSS21-MFFFFFNN
% 0.21/0.49  # partial match(1): FGHNF-FFSS21-MFFFFFNN
% 0.21/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.49  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.49  # Starting sh5l with 136s (1) cores
% 0.21/0.49  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13793 completed with status 0
% 0.21/0.49  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49  # No SInE strategy applied
% 0.21/0.49  # Search class: FHHNF-FFSS21-MFFFFFNN
% 0.21/0.49  # partial match(1): FGHNF-FFSS21-MFFFFFNN
% 0.21/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.49  # Preprocessing time       : 0.001 s
% 0.21/0.49  # Presaturation interreduction done
% 0.21/0.49  
% 0.21/0.49  # Proof found!
% 0.21/0.49  # SZS status Unsatisfiable
% 0.21/0.49  # SZS output start CNFRefutation
% See solution above
% 0.21/0.49  # Parsed axioms                        : 15
% 0.21/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.49  # Initial clauses                      : 15
% 0.21/0.49  # Removed in clause preprocessing      : 0
% 0.21/0.49  # Initial clauses in saturation        : 15
% 0.21/0.49  # Processed clauses                    : 64
% 0.21/0.49  # ...of these trivial                  : 0
% 0.21/0.49  # ...subsumed                          : 5
% 0.21/0.49  # ...remaining for further processing  : 59
% 0.21/0.49  # Other redundant clauses eliminated   : 0
% 0.21/0.49  # Clauses deleted for lack of memory   : 0
% 0.21/0.49  # Backward-subsumed                    : 0
% 0.21/0.49  # Backward-rewritten                   : 0
% 0.21/0.49  # Generated clauses                    : 114
% 0.21/0.49  # ...of the previous two non-redundant : 95
% 0.21/0.49  # ...aggressively subsumed             : 0
% 0.21/0.49  # Contextual simplify-reflections      : 0
% 0.21/0.49  # Paramodulations                      : 114
% 0.21/0.49  # Factorizations                       : 0
% 0.21/0.49  # NegExts                              : 0
% 0.21/0.49  # Equation resolutions                 : 0
% 0.21/0.49  # Disequality decompositions           : 0
% 0.21/0.49  # Total rewrite steps                  : 19
% 0.21/0.49  # ...of those cached                   : 8
% 0.21/0.49  # Propositional unsat checks           : 0
% 0.21/0.49  #    Propositional check models        : 0
% 0.21/0.49  #    Propositional check unsatisfiable : 0
% 0.21/0.49  #    Propositional clauses             : 0
% 0.21/0.49  #    Propositional clauses after purity: 0
% 0.21/0.49  #    Propositional unsat core size     : 0
% 0.21/0.49  #    Propositional preprocessing time  : 0.000
% 0.21/0.49  #    Propositional encoding time       : 0.000
% 0.21/0.49  #    Propositional solver time         : 0.000
% 0.21/0.49  #    Success case prop preproc time    : 0.000
% 0.21/0.49  #    Success case prop encoding time   : 0.000
% 0.21/0.49  #    Success case prop solver time     : 0.000
% 0.21/0.49  # Current number of processed clauses  : 44
% 0.21/0.49  #    Positive orientable unit clauses  : 9
% 0.21/0.49  #    Positive unorientable unit clauses: 0
% 0.21/0.49  #    Negative unit clauses             : 0
% 0.21/0.49  #    Non-unit-clauses                  : 35
% 0.21/0.49  # Current number of unprocessed clauses: 61
% 0.21/0.49  # ...number of literals in the above   : 178
% 0.21/0.49  # Current number of archived formulas  : 0
% 0.21/0.49  # Current number of archived clauses   : 15
% 0.21/0.49  # Clause-clause subsumption calls (NU) : 172
% 0.21/0.49  # Rec. Clause-clause subsumption calls : 147
% 0.21/0.49  # Non-unit clause-clause subsumptions  : 5
% 0.21/0.49  # Unit Clause-clause subsumption calls : 0
% 0.21/0.49  # Rewrite failures with RHS unbound    : 0
% 0.21/0.49  # BW rewrite match attempts            : 4
% 0.21/0.49  # BW rewrite match successes           : 0
% 0.21/0.49  # Condensation attempts                : 0
% 0.21/0.49  # Condensation successes               : 0
% 0.21/0.49  # Termbank termtop insertions          : 1833
% 0.21/0.49  # Search garbage collected termcells   : 42
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.005 s
% 0.21/0.49  # System time              : 0.002 s
% 0.21/0.49  # Total time               : 0.008 s
% 0.21/0.49  # Maximum resident set size: 1700 pages
% 0.21/0.49  
% 0.21/0.49  # -------------------------------------------------
% 0.21/0.49  # User time                : 0.020 s
% 0.21/0.49  # System time              : 0.008 s
% 0.21/0.49  # Total time               : 0.029 s
% 0.21/0.49  # Maximum resident set size: 1704 pages
% 0.21/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------