TSTP Solution File: SYN631-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 20:33:16 EDT 2023

% Result   : Unsatisfiable 10.08s 1.74s
% Output   : CNFRefutation 10.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  18 unt;   0 nHn;  27 RR)
%            Number of literals    :   61 (   0 equ;  28 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-3 aty)
%            Number of variables   :   58 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p5_25,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X3,X1)
    | ~ p5(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p5_25) ).

cnf(p5_5,negated_conjecture,
    p5(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p5_5) ).

cnf(p5_34,negated_conjecture,
    ( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
    | ~ p23(f13(X1,X3),f11(f15(X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p5_34) ).

cnf(p23_12,negated_conjecture,
    p23(f13(c27,f14(c28)),f11(f15(c24))),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p23_12) ).

cnf(p5_11,negated_conjecture,
    p5(f16(f18(X1,X2)),X2),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p5_11) ).

cnf(p5_18,negated_conjecture,
    ( p5(f16(X1),f16(X2))
    | ~ p5(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p5_18) ).

cnf(p23_35,negated_conjecture,
    ( p23(f13(f19(X1,X2,X3),X3),f11(X1))
    | ~ p23(f13(X2,X3),f11(f15(X1))) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p23_35) ).

cnf(p12_32,negated_conjecture,
    ( p12(f13(X1,X2),f13(X3,X4))
    | ~ p5(X1,X3)
    | ~ p5(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p12_32) ).

cnf(p23_29,negated_conjecture,
    ( p23(X1,X2)
    | ~ p12(X3,X1)
    | ~ p23(X3,X4)
    | ~ p10(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p23_29) ).

cnf(p10_1,negated_conjecture,
    p10(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',p10_1) ).

cnf(not_p23_13,negated_conjecture,
    ~ p23(f13(f16(c27),f14(c28)),f11(c24)),
    file('/export/starexec/sandbox2/tmp/tmp.7F2c7JmK6d/E---3.1_29292.p',not_p23_13) ).

cnf(c_0_11,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X3,X1)
    | ~ p5(X3,X2) ),
    p5_25 ).

cnf(c_0_12,negated_conjecture,
    p5(X1,X1),
    p5_5 ).

cnf(c_0_13,negated_conjecture,
    ( p5(X1,f18(f20(c29),f19(X2,X1,X3)))
    | ~ p23(f13(X1,X3),f11(f15(X2))) ),
    p5_34 ).

cnf(c_0_14,negated_conjecture,
    p23(f13(c27,f14(c28)),f11(f15(c24))),
    p23_12 ).

cnf(c_0_15,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    p5(c27,f18(f20(c29),f19(c24,c27,f14(c28)))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,negated_conjecture,
    p5(f16(f18(X1,X2)),X2),
    p5_11 ).

cnf(c_0_18,negated_conjecture,
    ( p5(f16(X1),f16(X2))
    | ~ p5(X1,X2) ),
    p5_18 ).

cnf(c_0_19,negated_conjecture,
    p5(f18(f20(c29),f19(c24,c27,f14(c28))),c27),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(f16(f18(X3,X2)),X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    p5(f16(f18(f20(c29),f19(c24,c27,f14(c28)))),f16(c27)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ( p23(f13(f19(X1,X2,X3),X3),f11(X1))
    | ~ p23(f13(X2,X3),f11(f15(X1))) ),
    p23_35 ).

cnf(c_0_23,negated_conjecture,
    ( p12(f13(X1,X2),f13(X3,X4))
    | ~ p5(X1,X3)
    | ~ p5(X2,X4) ),
    p12_32 ).

cnf(c_0_24,negated_conjecture,
    p5(f16(c27),f19(c24,c27,f14(c28))),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    ( p23(X1,X2)
    | ~ p12(X3,X1)
    | ~ p23(X3,X4)
    | ~ p10(X4,X2) ),
    p23_29 ).

cnf(c_0_26,negated_conjecture,
    p23(f13(f19(c24,c27,f14(c28)),f14(c28)),f11(c24)),
    inference(spm,[status(thm)],[c_0_22,c_0_14]) ).

cnf(c_0_27,negated_conjecture,
    ( p12(f13(X1,X2),f13(X3,X2))
    | ~ p5(X1,X3) ),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    p5(f19(c24,c27,f14(c28)),f16(c27)),
    inference(spm,[status(thm)],[c_0_15,c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( p23(X1,X2)
    | ~ p12(f13(f19(c24,c27,f14(c28)),f14(c28)),X1)
    | ~ p10(f11(c24),X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    p12(f13(f19(c24,c27,f14(c28)),X1),f13(f16(c27),X1)),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( p23(f13(f16(c27),f14(c28)),X1)
    | ~ p10(f11(c24),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    p10(X1,X1),
    p10_1 ).

cnf(c_0_33,negated_conjecture,
    ~ p23(f13(f16(c27),f14(c28)),f11(c24)),
    not_p23_13 ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN631-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.12/0.32  % Computer : n010.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 18:02:50 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order model finding
% 0.18/0.45  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.7F2c7JmK6d/E---3.1_29292.p
% 10.08/1.74  # Version: 3.1pre001
% 10.08/1.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.08/1.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.08/1.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.08/1.74  # Starting new_bool_3 with 300s (1) cores
% 10.08/1.74  # Starting new_bool_1 with 300s (1) cores
% 10.08/1.74  # Starting sh5l with 300s (1) cores
% 10.08/1.74  # sh5l with pid 29408 completed with status 0
% 10.08/1.74  # Result found by sh5l
% 10.08/1.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.08/1.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.08/1.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.08/1.74  # Starting new_bool_3 with 300s (1) cores
% 10.08/1.74  # Starting new_bool_1 with 300s (1) cores
% 10.08/1.74  # Starting sh5l with 300s (1) cores
% 10.08/1.74  # SinE strategy is gf500_gu_R04_F100_L20000
% 10.08/1.74  # Search class: FHUNM-FFMF31-SFFFFFNN
% 10.08/1.74  # partial match(1): FHUNM-FFMF21-SFFFFFNN
% 10.08/1.74  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.08/1.74  # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with 163s (1) cores
% 10.08/1.74  # G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with pid 29416 completed with status 0
% 10.08/1.74  # Result found by G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A
% 10.08/1.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 10.08/1.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.08/1.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.08/1.74  # Starting new_bool_3 with 300s (1) cores
% 10.08/1.74  # Starting new_bool_1 with 300s (1) cores
% 10.08/1.74  # Starting sh5l with 300s (1) cores
% 10.08/1.74  # SinE strategy is gf500_gu_R04_F100_L20000
% 10.08/1.74  # Search class: FHUNM-FFMF31-SFFFFFNN
% 10.08/1.74  # partial match(1): FHUNM-FFMF21-SFFFFFNN
% 10.08/1.74  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 10.08/1.74  # Starting G-E--_107_C12_02_nc_F1_PI_AE_Q4_CS_SP_PS_S064A with 163s (1) cores
% 10.08/1.74  # Preprocessing time       : 0.002 s
% 10.08/1.74  # Presaturation interreduction done
% 10.08/1.74  
% 10.08/1.74  # Proof found!
% 10.08/1.74  # SZS status Unsatisfiable
% 10.08/1.74  # SZS output start CNFRefutation
% See solution above
% 10.08/1.74  # Parsed axioms                        : 38
% 10.08/1.74  # Removed by relevancy pruning/SinE    : 0
% 10.08/1.74  # Initial clauses                      : 38
% 10.08/1.74  # Removed in clause preprocessing      : 0
% 10.08/1.74  # Initial clauses in saturation        : 38
% 10.08/1.74  # Processed clauses                    : 2687
% 10.08/1.74  # ...of these trivial                  : 798
% 10.08/1.74  # ...subsumed                          : 0
% 10.08/1.74  # ...remaining for further processing  : 1889
% 10.08/1.74  # Other redundant clauses eliminated   : 0
% 10.08/1.74  # Clauses deleted for lack of memory   : 0
% 10.08/1.74  # Backward-subsumed                    : 0
% 10.08/1.74  # Backward-rewritten                   : 22
% 10.08/1.74  # Generated clauses                    : 177537
% 10.08/1.74  # ...of the previous two non-redundant : 174854
% 10.08/1.74  # ...aggressively subsumed             : 0
% 10.08/1.74  # Contextual simplify-reflections      : 0
% 10.08/1.74  # Paramodulations                      : 177537
% 10.08/1.74  # Factorizations                       : 0
% 10.08/1.74  # NegExts                              : 0
% 10.08/1.74  # Equation resolutions                 : 0
% 10.08/1.74  # Total rewrite steps                  : 3503
% 10.08/1.74  # Propositional unsat checks           : 0
% 10.08/1.74  #    Propositional check models        : 0
% 10.08/1.74  #    Propositional check unsatisfiable : 0
% 10.08/1.74  #    Propositional clauses             : 0
% 10.08/1.74  #    Propositional clauses after purity: 0
% 10.08/1.74  #    Propositional unsat core size     : 0
% 10.08/1.74  #    Propositional preprocessing time  : 0.000
% 10.08/1.74  #    Propositional encoding time       : 0.000
% 10.08/1.74  #    Propositional solver time         : 0.000
% 10.08/1.74  #    Success case prop preproc time    : 0.000
% 10.08/1.74  #    Success case prop encoding time   : 0.000
% 10.08/1.74  #    Success case prop solver time     : 0.000
% 10.08/1.74  # Current number of processed clauses  : 1829
% 10.08/1.74  #    Positive orientable unit clauses  : 1371
% 10.08/1.74  #    Positive unorientable unit clauses: 0
% 10.08/1.74  #    Negative unit clauses             : 1
% 10.08/1.74  #    Non-unit-clauses                  : 457
% 10.08/1.74  # Current number of unprocessed clauses: 172201
% 10.08/1.74  # ...number of literals in the above   : 223204
% 10.08/1.74  # Current number of archived formulas  : 0
% 10.08/1.74  # Current number of archived clauses   : 60
% 10.08/1.74  # Clause-clause subsumption calls (NU) : 26508
% 10.08/1.74  # Rec. Clause-clause subsumption calls : 21678
% 10.08/1.74  # Non-unit clause-clause subsumptions  : 0
% 10.08/1.74  # Unit Clause-clause subsumption calls : 6418
% 10.08/1.74  # Rewrite failures with RHS unbound    : 0
% 10.08/1.74  # BW rewrite match attempts            : 20196
% 10.08/1.74  # BW rewrite match successes           : 22
% 10.08/1.74  # Condensation attempts                : 0
% 10.08/1.74  # Condensation successes               : 0
% 10.08/1.74  # Termbank termtop insertions          : 3423357
% 10.08/1.74  
% 10.08/1.74  # -------------------------------------------------
% 10.08/1.74  # User time                : 1.166 s
% 10.08/1.74  # System time              : 0.094 s
% 10.08/1.74  # Total time               : 1.260 s
% 10.08/1.74  # Maximum resident set size: 1824 pages
% 10.08/1.74  
% 10.08/1.74  # -------------------------------------------------
% 10.08/1.74  # User time                : 1.169 s
% 10.08/1.74  # System time              : 0.095 s
% 10.08/1.74  # Total time               : 1.264 s
% 10.08/1.74  # Maximum resident set size: 1712 pages
% 10.08/1.74  % E---3.1 exiting
%------------------------------------------------------------------------------