TSTP Solution File: KLE072+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 18:04:52 EDT 2023

% Result   : Theorem 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 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   :   27 (   0 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(goals,conjecture,
    ! [X4,X5,X6] : domain(multiplication(addition(X4,X5),domain(X6))) = addition(domain(multiplication(X4,domain(X6))),domain(multiplication(X5,domain(X6)))),
    file('/export/starexec/sandbox/tmp/tmp.G2bZ6WIKvj/E---3.1_9306.p',goals) ).

fof(domain5,axiom,
    ! [X4,X5] : domain(addition(X4,X5)) = addition(domain(X4),domain(X5)),
    file('/export/starexec/sandbox/tmp/tmp.G2bZ6WIKvj/E---3.1_9306.p',domain5) ).

fof(domain2,axiom,
    ! [X4,X5] : domain(multiplication(X4,X5)) = domain(multiplication(X4,domain(X5))),
    file('/export/starexec/sandbox/tmp/tmp.G2bZ6WIKvj/E---3.1_9306.p',domain2) ).

fof(left_distributivity,axiom,
    ! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.G2bZ6WIKvj/E---3.1_9306.p',left_distributivity) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X4,X5,X6] : domain(multiplication(addition(X4,X5),domain(X6))) = addition(domain(multiplication(X4,domain(X6))),domain(multiplication(X5,domain(X6)))),
    inference(assume_negation,[status(cth)],[goals]) ).

fof(c_0_5,negated_conjecture,
    domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))) != addition(domain(multiplication(esk1_0,domain(esk3_0))),domain(multiplication(esk2_0,domain(esk3_0)))),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X25,X26] : domain(addition(X25,X26)) = addition(domain(X25),domain(X26)),
    inference(variable_rename,[status(thm)],[domain5]) ).

cnf(c_0_7,negated_conjecture,
    domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))) != addition(domain(multiplication(esk1_0,domain(esk3_0))),domain(multiplication(esk2_0,domain(esk3_0)))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X23,X24] : domain(multiplication(X23,X24)) = domain(multiplication(X23,domain(X24))),
    inference(variable_rename,[status(thm)],[domain2]) ).

fof(c_0_10,plain,
    ! [X19,X20,X21] : multiplication(addition(X19,X20),X21) = addition(multiplication(X19,X21),multiplication(X20,X21)),
    inference(variable_rename,[status(thm)],[left_distributivity]) ).

cnf(c_0_11,negated_conjecture,
    domain(addition(multiplication(esk1_0,domain(esk3_0)),multiplication(esk2_0,domain(esk3_0)))) != domain(multiplication(addition(esk1_0,esk2_0),domain(esk3_0))),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    domain(multiplication(X1,X2)) = domain(multiplication(X1,domain(X2))),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KLE072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Oct  3 05:01:14 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.G2bZ6WIKvj/E---3.1_9306.p
% 0.20/0.49  # Version: 3.1pre001
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # new_bool_1 with pid 9386 completed with status 0
% 0.20/0.49  # Result found by new_bool_1
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.49  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 9396 completed with status 0
% 0.20/0.49  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.20/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  # Presaturation interreduction done
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Theorem
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 18
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 4
% 0.20/0.49  # Initial clauses                      : 14
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 14
% 0.20/0.49  # Processed clauses                    : 16
% 0.20/0.49  # ...of these trivial                  : 0
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 15
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 2
% 0.20/0.49  # Generated clauses                    : 0
% 0.20/0.49  # ...of the previous two non-redundant : 2
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 0
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Total rewrite steps                  : 4
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 13
% 0.20/0.49  #    Positive orientable unit clauses  : 12
% 0.20/0.49  #    Positive unorientable unit clauses: 1
% 0.20/0.49  #    Negative unit clauses             : 0
% 0.20/0.49  #    Non-unit-clauses                  : 0
% 0.20/0.49  # Current number of unprocessed clauses: 0
% 0.20/0.49  # ...number of literals in the above   : 0
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 2
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 0
% 0.20/0.49  # Rewrite failures with RHS unbound    : 0
% 0.20/0.49  # BW rewrite match attempts            : 11
% 0.20/0.49  # BW rewrite match successes           : 8
% 0.20/0.49  # Condensation attempts                : 0
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 601
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.003 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.005 s
% 0.20/0.49  # Maximum resident set size: 1744 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.006 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.008 s
% 0.20/0.49  # Maximum resident set size: 1688 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------