TSTP Solution File: CAT012-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CAT012-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Mon May 20 18:59:34 EDT 2024

% Result   : Unsatisfiable 0.16s 0.41s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   19 (  10 unt;   0 nHn;  13 RR)
%            Number of literals    :   34 (   8 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-1 aty)
%            Number of variables   :   28 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(composition_is_well_defined,axiom,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',composition_is_well_defined) ).

cnf(identity2,axiom,
    ( product(X1,X2,X1)
    | ~ defined(X1,X2)
    | ~ identity_map(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',identity2) ).

cnf(product_on_codomain,axiom,
    product(codomain(X1),X1,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',product_on_codomain) ).

cnf(mapping_from_codomain_of_x_to_x,axiom,
    defined(codomain(X1),X1),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',mapping_from_codomain_of_x_to_x) ).

cnf(prove_codomain_of_domain_is_domain,negated_conjecture,
    codomain(domain(a)) != domain(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).

cnf(domain_is_an_identity_map,axiom,
    identity_map(domain(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/CAT001-0.ax',domain_is_an_identity_map) ).

cnf(c_0_6,plain,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    inference(fof_simplification,[status(thm)],[composition_is_well_defined]) ).

cnf(c_0_7,plain,
    ( product(X1,X2,X1)
    | ~ defined(X1,X2)
    | ~ identity_map(X2) ),
    inference(fof_simplification,[status(thm)],[identity2]) ).

cnf(c_0_8,plain,
    ( X3 = X4
    | ~ product(X1,X2,X3)
    | ~ product(X1,X2,X4) ),
    c_0_6 ).

cnf(c_0_9,axiom,
    product(codomain(X1),X1,X1),
    product_on_codomain ).

cnf(c_0_10,plain,
    ( product(X1,X2,X1)
    | ~ defined(X1,X2)
    | ~ identity_map(X2) ),
    c_0_7 ).

cnf(c_0_11,axiom,
    defined(codomain(X1),X1),
    mapping_from_codomain_of_x_to_x ).

cnf(c_0_12,negated_conjecture,
    codomain(domain(a)) != domain(a),
    inference(fof_simplification,[status(thm)],[prove_codomain_of_domain_is_domain]) ).

cnf(c_0_13,plain,
    ( X1 = X2
    | ~ product(codomain(X2),X2,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,plain,
    ( product(codomain(X1),X1,codomain(X1))
    | ~ identity_map(X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,negated_conjecture,
    codomain(domain(a)) != domain(a),
    c_0_12 ).

cnf(c_0_16,plain,
    ( codomain(X1) = X1
    | ~ identity_map(X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,axiom,
    identity_map(domain(X1)),
    domain_is_an_identity_map ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : CAT012-1 : TPTP v8.2.0. Released v1.0.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n029.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sat May 18 11:45:52 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.16/0.40  Running first-order model finding
% 0.16/0.40  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/benchmark/theBenchmark.p
% 0.16/0.41  # Version: 3.1.0
% 0.16/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.41  # Starting sh5l with 300s (1) cores
% 0.16/0.41  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13579 completed with status 0
% 0.16/0.41  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41  # No SInE strategy applied
% 0.16/0.41  # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.41  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.41  # Starting new_bool_1 with 136s (1) cores
% 0.16/0.41  # Starting sh5l with 136s (1) cores
% 0.16/0.41  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 13584 completed with status 0
% 0.16/0.41  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.41  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.41  # No SInE strategy applied
% 0.16/0.41  # Search class: FHUSM-FFSF21-SFFFFFNN
% 0.16/0.41  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.41  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 811s (1) cores
% 0.16/0.41  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.41  # Preprocessing time       : 0.001 s
% 0.16/0.41  # Presaturation interreduction done
% 0.16/0.41  
% 0.16/0.41  # Proof found!
% 0.16/0.41  # SZS status Unsatisfiable
% 0.16/0.41  # SZS output start CNFRefutation
% See solution above
% 0.16/0.41  # Parsed axioms                        : 19
% 0.16/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.41  # Initial clauses                      : 19
% 0.16/0.41  # Removed in clause preprocessing      : 0
% 0.16/0.41  # Initial clauses in saturation        : 19
% 0.16/0.41  # Processed clauses                    : 62
% 0.16/0.41  # ...of these trivial                  : 0
% 0.16/0.41  # ...subsumed                          : 3
% 0.16/0.41  # ...remaining for further processing  : 59
% 0.16/0.41  # Other redundant clauses eliminated   : 0
% 0.16/0.41  # Clauses deleted for lack of memory   : 0
% 0.16/0.41  # Backward-subsumed                    : 0
% 0.16/0.41  # Backward-rewritten                   : 0
% 0.16/0.41  # Generated clauses                    : 133
% 0.16/0.41  # ...of the previous two non-redundant : 84
% 0.16/0.41  # ...aggressively subsumed             : 0
% 0.16/0.41  # Contextual simplify-reflections      : 0
% 0.16/0.41  # Paramodulations                      : 133
% 0.16/0.41  # Factorizations                       : 0
% 0.16/0.41  # NegExts                              : 0
% 0.16/0.41  # Equation resolutions                 : 0
% 0.16/0.41  # Disequality decompositions           : 0
% 0.16/0.41  # Total rewrite steps                  : 66
% 0.16/0.41  # ...of those cached                   : 42
% 0.16/0.41  # Propositional unsat checks           : 0
% 0.16/0.41  #    Propositional check models        : 0
% 0.16/0.41  #    Propositional check unsatisfiable : 0
% 0.16/0.41  #    Propositional clauses             : 0
% 0.16/0.41  #    Propositional clauses after purity: 0
% 0.16/0.41  #    Propositional unsat core size     : 0
% 0.16/0.41  #    Propositional preprocessing time  : 0.000
% 0.16/0.41  #    Propositional encoding time       : 0.000
% 0.16/0.41  #    Propositional solver time         : 0.000
% 0.16/0.41  #    Success case prop preproc time    : 0.000
% 0.16/0.41  #    Success case prop encoding time   : 0.000
% 0.16/0.41  #    Success case prop solver time     : 0.000
% 0.16/0.41  # Current number of processed clauses  : 40
% 0.16/0.41  #    Positive orientable unit clauses  : 15
% 0.16/0.41  #    Positive unorientable unit clauses: 0
% 0.16/0.41  #    Negative unit clauses             : 1
% 0.16/0.41  #    Non-unit-clauses                  : 24
% 0.16/0.41  # Current number of unprocessed clauses: 59
% 0.16/0.41  # ...number of literals in the above   : 152
% 0.16/0.41  # Current number of archived formulas  : 0
% 0.16/0.41  # Current number of archived clauses   : 19
% 0.16/0.41  # Clause-clause subsumption calls (NU) : 98
% 0.16/0.41  # Rec. Clause-clause subsumption calls : 89
% 0.16/0.41  # Non-unit clause-clause subsumptions  : 3
% 0.16/0.41  # Unit Clause-clause subsumption calls : 0
% 0.16/0.41  # Rewrite failures with RHS unbound    : 0
% 0.16/0.41  # BW rewrite match attempts            : 10
% 0.16/0.41  # BW rewrite match successes           : 0
% 0.16/0.41  # Condensation attempts                : 0
% 0.16/0.41  # Condensation successes               : 0
% 0.16/0.41  # Termbank termtop insertions          : 1939
% 0.16/0.41  # Search garbage collected termcells   : 56
% 0.16/0.41  
% 0.16/0.41  # -------------------------------------------------
% 0.16/0.41  # User time                : 0.006 s
% 0.16/0.41  # System time              : 0.001 s
% 0.16/0.41  # Total time               : 0.007 s
% 0.16/0.41  # Maximum resident set size: 1640 pages
% 0.16/0.41  
% 0.16/0.41  # -------------------------------------------------
% 0.16/0.41  # User time                : 0.026 s
% 0.16/0.41  # System time              : 0.004 s
% 0.16/0.41  # Total time               : 0.030 s
% 0.16/0.41  # Maximum resident set size: 1712 pages
% 0.16/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------