TSTP Solution File: FLD023-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 17:30:31 EDT 2023

% Result   : Unsatisfiable 2.07s 0.74s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (  12 unt;   0 nHn;  24 RR)
%            Number of literals    :   40 (   0 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(compatibility_of_equality_and_addition,axiom,
    ( equalish(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',compatibility_of_equality_and_addition) ).

cnf(a_equals_b_3,negated_conjecture,
    equalish(a,b),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',a_equals_b_3) ).

cnf(well_definedness_of_additive_inverse,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',well_definedness_of_additive_inverse) ).

cnf(a_is_defined,hypothesis,
    defined(a),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',a_is_defined) ).

cnf(existence_of_inverse_addition,axiom,
    ( equalish(add(X1,additive_inverse(X1)),additive_identity)
    | ~ defined(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',existence_of_inverse_addition) ).

cnf(transitivity_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',transitivity_of_equality) ).

cnf(symmetry_of_equality,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',symmetry_of_equality) ).

cnf(additive_identity_not_equal_to_add_4,negated_conjecture,
    ~ equalish(additive_identity,add(b,additive_inverse(a))),
    file('/export/starexec/sandbox/tmp/tmp.8aeXC1hiAq/E---3.1_32525.p',additive_identity_not_equal_to_add_4) ).

cnf(c_0_8,axiom,
    ( equalish(add(X1,X2),add(X3,X2))
    | ~ defined(X2)
    | ~ equalish(X1,X3) ),
    compatibility_of_equality_and_addition ).

cnf(c_0_9,negated_conjecture,
    equalish(a,b),
    a_equals_b_3 ).

cnf(c_0_10,axiom,
    ( defined(additive_inverse(X1))
    | ~ defined(X1) ),
    well_definedness_of_additive_inverse ).

cnf(c_0_11,hypothesis,
    defined(a),
    a_is_defined ).

cnf(c_0_12,axiom,
    ( equalish(add(X1,additive_inverse(X1)),additive_identity)
    | ~ defined(X1) ),
    existence_of_inverse_addition ).

cnf(c_0_13,negated_conjecture,
    ( equalish(add(a,X1),add(b,X1))
    | ~ defined(X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,hypothesis,
    defined(additive_inverse(a)),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X1,X3)
    | ~ equalish(X3,X2) ),
    transitivity_of_equality ).

cnf(c_0_16,hypothesis,
    equalish(add(a,additive_inverse(a)),additive_identity),
    inference(spm,[status(thm)],[c_0_12,c_0_11]) ).

cnf(c_0_17,axiom,
    ( equalish(X1,X2)
    | ~ equalish(X2,X1) ),
    symmetry_of_equality ).

cnf(c_0_18,hypothesis,
    equalish(add(a,additive_inverse(a)),add(b,additive_inverse(a))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,hypothesis,
    ( equalish(X1,additive_identity)
    | ~ equalish(X1,add(a,additive_inverse(a))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,hypothesis,
    equalish(add(b,additive_inverse(a)),add(a,additive_inverse(a))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,hypothesis,
    equalish(add(b,additive_inverse(a)),additive_identity),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    ~ equalish(additive_identity,add(b,additive_inverse(a))),
    additive_identity_not_equal_to_add_4 ).

cnf(c_0_23,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_21]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13  % Problem    : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.09/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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   : Mon Oct  2 23:12:46 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.8aeXC1hiAq/E---3.1_32525.p
% 2.07/0.74  # Version: 3.1pre001
% 2.07/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.74  # Starting new_bool_3 with 300s (1) cores
% 2.07/0.74  # Starting new_bool_1 with 300s (1) cores
% 2.07/0.74  # Starting sh5l with 300s (1) cores
% 2.07/0.74  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32630 completed with status 0
% 2.07/0.74  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.07/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.74  # No SInE strategy applied
% 2.07/0.74  # Search class: FGUNF-FFMS21-SFFFFFNN
% 2.07/0.74  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.07/0.74  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 2.07/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.07/0.74  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.74  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.74  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 2.07/0.74  # G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with pid 32642 completed with status 0
% 2.07/0.74  # Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S
% 2.07/0.74  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.07/0.74  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.07/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.07/0.74  # No SInE strategy applied
% 2.07/0.74  # Search class: FGUNF-FFMS21-SFFFFFNN
% 2.07/0.74  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 2.07/0.74  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 2.07/0.74  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.07/0.74  # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.74  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 2.07/0.74  # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 2.07/0.74  # Preprocessing time       : 0.001 s
% 2.07/0.74  # Presaturation interreduction done
% 2.07/0.74  
% 2.07/0.74  # Proof found!
% 2.07/0.74  # SZS status Unsatisfiable
% 2.07/0.74  # SZS output start CNFRefutation
% See solution above
% 2.07/0.74  # Parsed axioms                        : 31
% 2.07/0.74  # Removed by relevancy pruning/SinE    : 0
% 2.07/0.74  # Initial clauses                      : 31
% 2.07/0.74  # Removed in clause preprocessing      : 0
% 2.07/0.74  # Initial clauses in saturation        : 31
% 2.07/0.74  # Processed clauses                    : 755
% 2.07/0.74  # ...of these trivial                  : 55
% 2.07/0.74  # ...subsumed                          : 0
% 2.07/0.74  # ...remaining for further processing  : 700
% 2.07/0.74  # Other redundant clauses eliminated   : 0
% 2.07/0.74  # Clauses deleted for lack of memory   : 0
% 2.07/0.74  # Backward-subsumed                    : 0
% 2.07/0.74  # Backward-rewritten                   : 0
% 2.07/0.74  # Generated clauses                    : 26136
% 2.07/0.74  # ...of the previous two non-redundant : 25659
% 2.07/0.74  # ...aggressively subsumed             : 0
% 2.07/0.74  # Contextual simplify-reflections      : 0
% 2.07/0.74  # Paramodulations                      : 26136
% 2.07/0.74  # Factorizations                       : 0
% 2.07/0.74  # NegExts                              : 0
% 2.07/0.74  # Equation resolutions                 : 0
% 2.07/0.74  # Total rewrite steps                  : 477
% 2.07/0.74  # Propositional unsat checks           : 0
% 2.07/0.74  #    Propositional check models        : 0
% 2.07/0.74  #    Propositional check unsatisfiable : 0
% 2.07/0.74  #    Propositional clauses             : 0
% 2.07/0.74  #    Propositional clauses after purity: 0
% 2.07/0.74  #    Propositional unsat core size     : 0
% 2.07/0.74  #    Propositional preprocessing time  : 0.000
% 2.07/0.74  #    Propositional encoding time       : 0.000
% 2.07/0.74  #    Propositional solver time         : 0.000
% 2.07/0.74  #    Success case prop preproc time    : 0.000
% 2.07/0.74  #    Success case prop encoding time   : 0.000
% 2.07/0.74  #    Success case prop solver time     : 0.000
% 2.07/0.74  # Current number of processed clauses  : 669
% 2.07/0.74  #    Positive orientable unit clauses  : 441
% 2.07/0.74  #    Positive unorientable unit clauses: 0
% 2.07/0.74  #    Negative unit clauses             : 2
% 2.07/0.74  #    Non-unit-clauses                  : 226
% 2.07/0.74  # Current number of unprocessed clauses: 24966
% 2.07/0.74  # ...number of literals in the above   : 32838
% 2.07/0.74  # Current number of archived formulas  : 0
% 2.07/0.74  # Current number of archived clauses   : 31
% 2.07/0.74  # Clause-clause subsumption calls (NU) : 3028
% 2.07/0.74  # Rec. Clause-clause subsumption calls : 2893
% 2.07/0.74  # Non-unit clause-clause subsumptions  : 0
% 2.07/0.74  # Unit Clause-clause subsumption calls : 819
% 2.07/0.74  # Rewrite failures with RHS unbound    : 0
% 2.07/0.74  # BW rewrite match attempts            : 705
% 2.07/0.74  # BW rewrite match successes           : 0
% 2.07/0.74  # Condensation attempts                : 0
% 2.07/0.74  # Condensation successes               : 0
% 2.07/0.74  # Termbank termtop insertions          : 364620
% 2.07/0.74  
% 2.07/0.74  # -------------------------------------------------
% 2.07/0.74  # User time                : 0.210 s
% 2.07/0.74  # System time              : 0.025 s
% 2.07/0.74  # Total time               : 0.235 s
% 2.07/0.74  # Maximum resident set size: 1652 pages
% 2.07/0.74  
% 2.07/0.74  # -------------------------------------------------
% 2.07/0.74  # User time                : 1.111 s
% 2.07/0.74  # System time              : 0.060 s
% 2.07/0.74  # Total time               : 1.171 s
% 2.07/0.74  # Maximum resident set size: 1696 pages
% 2.07/0.74  % E---3.1 exiting
%------------------------------------------------------------------------------