TSTP Solution File: REL008-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:14:04 EDT 2023

% Result   : Unsatisfiable 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   18 (  18 unt;   0 nHn;   3 RR)
%            Number of literals    :   18 (  17 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   35 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.UBECqtH0GS/E---3.1_23487.p',converse_multiplicativity_10) ).

cnf(converse_idempotence_8,axiom,
    converse(converse(X1)) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.UBECqtH0GS/E---3.1_23487.p',converse_idempotence_8) ).

cnf(converse_additivity_9,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    file('/export/starexec/sandbox2/tmp/tmp.UBECqtH0GS/E---3.1_23487.p',converse_additivity_9) ).

cnf(composition_distributivity_7,axiom,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.UBECqtH0GS/E---3.1_23487.p',composition_distributivity_7) ).

cnf(goals_17,negated_conjecture,
    composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
    file('/export/starexec/sandbox2/tmp/tmp.UBECqtH0GS/E---3.1_23487.p',goals_17) ).

cnf(c_0_5,axiom,
    converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
    converse_multiplicativity_10 ).

cnf(c_0_6,axiom,
    converse(converse(X1)) = X1,
    converse_idempotence_8 ).

cnf(c_0_7,axiom,
    converse(join(X1,X2)) = join(converse(X1),converse(X2)),
    converse_additivity_9 ).

cnf(c_0_8,plain,
    converse(composition(X1,converse(X2))) = composition(X2,converse(X1)),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_9,plain,
    converse(join(converse(X1),X2)) = join(X1,converse(X2)),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,axiom,
    composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
    composition_distributivity_7 ).

cnf(c_0_11,plain,
    join(composition(X1,converse(X2)),converse(X3)) = converse(join(composition(X2,converse(X1)),X3)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    composition(join(X1,converse(X2)),converse(X3)) = converse(composition(X3,join(converse(X1),X2))),
    inference(spm,[status(thm)],[c_0_5,c_0_9]) ).

cnf(c_0_13,plain,
    converse(join(composition(X1,converse(X2)),composition(X1,X3))) = converse(composition(X1,join(converse(X2),X3))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_5]),c_0_11]),c_0_12]) ).

cnf(c_0_14,plain,
    join(composition(X1,converse(X2)),composition(X1,X3)) = composition(X1,join(converse(X2),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_13]),c_0_6]) ).

cnf(c_0_15,negated_conjecture,
    composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
    goals_17 ).

cnf(c_0_16,plain,
    join(composition(X1,X2),composition(X1,X3)) = composition(X1,join(X2,X3)),
    inference(spm,[status(thm)],[c_0_14,c_0_6]) ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : REL008-3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n004.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 15:10:00 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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/tmp/tmp.UBECqtH0GS/E---3.1_23487.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # new_bool_3 with pid 23565 completed with status 0
% 0.20/0.50  # Result found by new_bool_3
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FUUPM-FFMF21-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 0.20/0.50  # H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with pid 23569 completed with status 0
% 0.20/0.50  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S
% 0.20/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.50  # Search class: FUUPM-FFMF21-DFFFFFNN
% 0.20/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.50  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 181s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Unsatisfiable
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 17
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 3
% 0.20/0.50  # Initial clauses                      : 14
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 14
% 0.20/0.50  # Processed clauses                    : 189
% 0.20/0.50  # ...of these trivial                  : 63
% 0.20/0.50  # ...subsumed                          : 50
% 0.20/0.50  # ...remaining for further processing  : 76
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 4
% 0.20/0.50  # Generated clauses                    : 1523
% 0.20/0.50  # ...of the previous two non-redundant : 1256
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 1523
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Total rewrite steps                  : 1520
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 58
% 0.20/0.50  #    Positive orientable unit clauses  : 53
% 0.20/0.50  #    Positive unorientable unit clauses: 5
% 0.20/0.50  #    Negative unit clauses             : 0
% 0.20/0.50  #    Non-unit-clauses                  : 0
% 0.20/0.50  # Current number of unprocessed clauses: 1087
% 0.20/0.50  # ...number of literals in the above   : 1087
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 18
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 9
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 56
% 0.20/0.50  # BW rewrite match successes           : 31
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 19922
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.010 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.014 s
% 0.20/0.50  # Maximum resident set size: 1620 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.010 s
% 0.20/0.50  # System time              : 0.007 s
% 0.20/0.50  # Total time               : 0.017 s
% 0.20/0.50  # Maximum resident set size: 1684 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------