TSTP Solution File: SYN556-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 20:33:04 EDT 2023

% Result   : Unsatisfiable 149.81s 19.46s
% Output   : CNFRefutation 149.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   29 (  14 unt;   0 nHn;  25 RR)
%            Number of literals    :   64 (   0 equ;  38 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p3_7,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p3_7) ).

cnf(p3_2,negated_conjecture,
    p3(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p3_2) ).

cnf(p3_12,negated_conjecture,
    ( p3(f4(X1,X2,X3),f4(X4,X5,X6))
    | ~ p2(X2,X5)
    | ~ p3(X3,X6)
    | ~ p2(X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p3_12) ).

cnf(p3_8,negated_conjecture,
    p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p3_8) ).

cnf(p2_6,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p2_6) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p2_1) ).

cnf(p2_10,negated_conjecture,
    ( p2(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p2_10) ).

cnf(p2_3,negated_conjecture,
    p2(c10,c13),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p2_3) ).

cnf(not_p3_9,negated_conjecture,
    ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',not_p3_9) ).

cnf(p2_11,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X2,X4)
    | ~ p3(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p',p2_11) ).

cnf(c_0_10,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    p3_7 ).

cnf(c_0_11,negated_conjecture,
    p3(X1,X1),
    p3_2 ).

cnf(c_0_12,negated_conjecture,
    ( p3(f4(X1,X2,X3),f4(X4,X5,X6))
    | ~ p2(X2,X5)
    | ~ p3(X3,X6)
    | ~ p2(X1,X4) ),
    p3_12 ).

cnf(c_0_13,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X2,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    p3(c9,f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11)),
    p3_8 ).

cnf(c_0_15,negated_conjecture,
    ( p3(X1,f4(X2,X3,X4))
    | ~ p3(f4(X5,X6,X7),X1)
    | ~ p3(X7,X4)
    | ~ p2(X6,X3)
    | ~ p2(X5,X2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    p3(f4(c13,f5(f8(c11,c13),f6(f7(c12))),c11),c9),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    p2_6 ).

cnf(c_0_18,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_19,negated_conjecture,
    ( p3(c9,f4(X1,X2,X3))
    | ~ p3(c11,X3)
    | ~ p2(f5(f8(c11,c13),f6(f7(c12))),X2)
    | ~ p2(c13,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p2(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_10 ).

cnf(c_0_21,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    p2(c10,c13),
    p2_3 ).

cnf(c_0_23,negated_conjecture,
    ~ p3(c9,f4(c10,f5(f8(c11,c10),f6(f7(c12))),c11)),
    not_p3_9 ).

cnf(c_0_24,negated_conjecture,
    ( p3(c9,f4(X1,f5(X2,X3),X4))
    | ~ p3(c11,X4)
    | ~ p2(f6(f7(c12)),X3)
    | ~ p2(f8(c11,c13),X2)
    | ~ p2(c13,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,negated_conjecture,
    p2(c13,c10),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ~ p2(f8(c11,c13),f8(c11,c10)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_11]),c_0_18]),c_0_25])]) ).

cnf(c_0_27,negated_conjecture,
    ( p2(f8(X1,X2),f8(X3,X4))
    | ~ p2(X2,X4)
    | ~ p3(X1,X3) ),
    p2_11 ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_11]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN556-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 18:51:48 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order model finding
% 0.21/0.48  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.aEATYhxI35/E---3.1_12581.p
% 149.81/19.46  # Version: 3.1pre001
% 149.81/19.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 149.81/19.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.81/19.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 149.81/19.46  # Starting new_bool_3 with 300s (1) cores
% 149.81/19.46  # Starting new_bool_1 with 300s (1) cores
% 149.81/19.46  # Starting sh5l with 300s (1) cores
% 149.81/19.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12690 completed with status 0
% 149.81/19.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 149.81/19.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 149.81/19.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.81/19.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 149.81/19.46  # No SInE strategy applied
% 149.81/19.46  # Search class: FHUNS-FFSF31-MFFFFFNN
% 149.81/19.46  # partial match(1): FHUNS-FFSF21-MFFFFFNN
% 149.81/19.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 149.81/19.46  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 149.81/19.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 149.81/19.46  # Starting H----_011_C07_F1_PI_SE_SP_S0V with 136s (1) cores
% 149.81/19.46  # Starting new_bool_3 with 136s (1) cores
% 149.81/19.46  # Starting new_bool_1 with 136s (1) cores
% 149.81/19.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12696 completed with status 0
% 149.81/19.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 149.81/19.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 149.81/19.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 149.81/19.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 149.81/19.46  # No SInE strategy applied
% 149.81/19.46  # Search class: FHUNS-FFSF31-MFFFFFNN
% 149.81/19.46  # partial match(1): FHUNS-FFSF21-MFFFFFNN
% 149.81/19.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 149.81/19.46  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 811s (1) cores
% 149.81/19.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 149.81/19.46  # Preprocessing time       : 0.001 s
% 149.81/19.46  # Presaturation interreduction done
% 149.81/19.46  
% 149.81/19.46  # Proof found!
% 149.81/19.46  # SZS status Unsatisfiable
% 149.81/19.46  # SZS output start CNFRefutation
% See solution above
% 149.81/19.46  # Parsed axioms                        : 12
% 149.81/19.46  # Removed by relevancy pruning/SinE    : 0
% 149.81/19.46  # Initial clauses                      : 12
% 149.81/19.46  # Removed in clause preprocessing      : 0
% 149.81/19.46  # Initial clauses in saturation        : 12
% 149.81/19.46  # Processed clauses                    : 72410
% 149.81/19.46  # ...of these trivial                  : 20
% 149.81/19.46  # ...subsumed                          : 63603
% 149.81/19.46  # ...remaining for further processing  : 8787
% 149.81/19.46  # Other redundant clauses eliminated   : 0
% 149.81/19.46  # Clauses deleted for lack of memory   : 0
% 149.81/19.46  # Backward-subsumed                    : 208
% 149.81/19.46  # Backward-rewritten                   : 3
% 149.81/19.46  # Generated clauses                    : 2008831
% 149.81/19.46  # ...of the previous two non-redundant : 1939314
% 149.81/19.46  # ...aggressively subsumed             : 0
% 149.81/19.46  # Contextual simplify-reflections      : 83
% 149.81/19.46  # Paramodulations                      : 2008831
% 149.81/19.46  # Factorizations                       : 0
% 149.81/19.46  # NegExts                              : 0
% 149.81/19.46  # Equation resolutions                 : 0
% 149.81/19.46  # Total rewrite steps                  : 382747
% 149.81/19.46  # Propositional unsat checks           : 1
% 149.81/19.46  #    Propositional check models        : 1
% 149.81/19.46  #    Propositional check unsatisfiable : 0
% 149.81/19.46  #    Propositional clauses             : 0
% 149.81/19.46  #    Propositional clauses after purity: 0
% 149.81/19.46  #    Propositional unsat core size     : 0
% 149.81/19.46  #    Propositional preprocessing time  : 0.000
% 149.81/19.46  #    Propositional encoding time       : 0.350
% 149.81/19.46  #    Propositional solver time         : 0.086
% 149.81/19.46  #    Success case prop preproc time    : 0.000
% 149.81/19.46  #    Success case prop encoding time   : 0.000
% 149.81/19.46  #    Success case prop solver time     : 0.000
% 149.81/19.46  # Current number of processed clauses  : 8564
% 149.81/19.46  #    Positive orientable unit clauses  : 24
% 149.81/19.46  #    Positive unorientable unit clauses: 0
% 149.81/19.46  #    Negative unit clauses             : 2
% 149.81/19.46  #    Non-unit-clauses                  : 8538
% 149.81/19.46  # Current number of unprocessed clauses: 1863397
% 149.81/19.46  # ...number of literals in the above   : 8546624
% 149.81/19.46  # Current number of archived formulas  : 0
% 149.81/19.46  # Current number of archived clauses   : 223
% 149.81/19.46  # Clause-clause subsumption calls (NU) : 27059625
% 149.81/19.46  # Rec. Clause-clause subsumption calls : 16831794
% 149.81/19.46  # Non-unit clause-clause subsumptions  : 63894
% 149.81/19.46  # Unit Clause-clause subsumption calls : 189
% 149.81/19.46  # Rewrite failures with RHS unbound    : 0
% 149.81/19.46  # BW rewrite match attempts            : 11
% 149.81/19.46  # BW rewrite match successes           : 3
% 149.81/19.46  # Condensation attempts                : 0
% 149.81/19.46  # Condensation successes               : 0
% 149.81/19.46  # Termbank termtop insertions          : 37160081
% 149.81/19.46  
% 149.81/19.46  # -------------------------------------------------
% 149.81/19.46  # User time                : 17.745 s
% 149.81/19.46  # System time              : 0.736 s
% 149.81/19.46  # Total time               : 18.480 s
% 149.81/19.46  # Maximum resident set size: 1652 pages
% 149.81/19.46  
% 149.81/19.46  # -------------------------------------------------
% 149.81/19.46  # User time                : 90.943 s
% 149.81/19.46  # System time              : 1.966 s
% 149.81/19.46  # Total time               : 92.909 s
% 149.81/19.46  # Maximum resident set size: 1688 pages
% 149.81/19.46  % E---3.1 exiting
%------------------------------------------------------------------------------