TSTP Solution File: ROB003-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 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 19:16:08 EDT 2023

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   5 RR)
%            Number of literals    :   22 (  21 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.uOyp9omVT8/E---3.1_2183.p',robbins_axiom) ).

cnf(there_exists_a_constant,hypothesis,
    add(X1,c) = c,
    file('/export/starexec/sandbox/tmp/tmp.uOyp9omVT8/E---3.1_2183.p',there_exists_a_constant) ).

cnf(commutativity_of_add,axiom,
    add(X1,X2) = add(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.uOyp9omVT8/E---3.1_2183.p',commutativity_of_add) ).

cnf(associativity_of_add,axiom,
    add(add(X1,X2),X3) = add(X1,add(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.uOyp9omVT8/E---3.1_2183.p',associativity_of_add) ).

cnf(prove_huntingtons_axiom,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
    file('/export/starexec/sandbox/tmp/tmp.uOyp9omVT8/E---3.1_2183.p',prove_huntingtons_axiom) ).

cnf(c_0_5,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    robbins_axiom ).

cnf(c_0_6,hypothesis,
    add(X1,c) = c,
    there_exists_a_constant ).

cnf(c_0_7,hypothesis,
    negate(add(negate(c),negate(add(X1,negate(c))))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,axiom,
    add(X1,X2) = add(X2,X1),
    commutativity_of_add ).

cnf(c_0_9,hypothesis,
    negate(add(negate(c),negate(add(negate(c),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,hypothesis,
    negate(add(X1,negate(add(negate(c),add(X1,negate(c)))))) = negate(c),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_7]),c_0_8]) ).

cnf(c_0_11,axiom,
    add(add(X1,X2),X3) = add(X1,add(X2,X3)),
    associativity_of_add ).

cnf(c_0_12,hypothesis,
    add(negate(c),negate(c)) = negate(c),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    negate(add(negate(add(X1,X2)),negate(add(negate(X2),X1)))) = X1,
    inference(spm,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_14,hypothesis,
    add(negate(c),add(negate(c),X1)) = add(negate(c),X1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,hypothesis,
    add(negate(c),X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_6]),c_0_9]) ).

cnf(c_0_16,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
    prove_huntingtons_axiom ).

cnf(c_0_17,hypothesis,
    negate(negate(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_15]),c_0_15]) ).

cnf(c_0_18,plain,
    negate(add(negate(add(X1,X2)),negate(add(X2,negate(X1))))) = X2,
    inference(spm,[status(thm)],[c_0_5,c_0_8]) ).

cnf(c_0_19,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
    inference(spm,[status(thm)],[c_0_16,c_0_8]) ).

cnf(c_0_20,hypothesis,
    add(negate(add(X1,X2)),negate(add(X2,negate(X1)))) = negate(X2),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_17])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Oct  3 00:45:44 EDT 2023
% 0.13/0.33  % CPUTime    : 
% 0.20/0.46  Running first-order model finding
% 0.20/0.46  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.uOyp9omVT8/E---3.1_2183.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 2299 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.51  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.51  # H----_047_C09_12_F1_AE_ND_CS_SP_S2S with pid 2310 completed with status 0
% 0.20/0.51  # Result found by H----_047_C09_12_F1_AE_ND_CS_SP_S2S
% 0.20/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.51  # Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 135s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.001 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Unsatisfiable
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 5
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.51  # Initial clauses                      : 5
% 0.20/0.51  # Removed in clause preprocessing      : 0
% 0.20/0.51  # Initial clauses in saturation        : 5
% 0.20/0.51  # Processed clauses                    : 781
% 0.20/0.51  # ...of these trivial                  : 393
% 0.20/0.51  # ...subsumed                          : 316
% 0.20/0.51  # ...remaining for further processing  : 72
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 13
% 0.20/0.51  # Generated clauses                    : 4815
% 0.20/0.51  # ...of the previous two non-redundant : 2579
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 0
% 0.20/0.51  # Paramodulations                      : 4815
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Total rewrite steps                  : 9044
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 54
% 0.20/0.51  #    Positive orientable unit clauses  : 49
% 0.20/0.51  #    Positive unorientable unit clauses: 4
% 0.20/0.51  #    Negative unit clauses             : 1
% 0.20/0.51  #    Non-unit-clauses                  : 0
% 0.20/0.51  # Current number of unprocessed clauses: 1763
% 0.20/0.51  # ...number of literals in the above   : 1763
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 18
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.51  # Unit Clause-clause subsumption calls : 7
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 374
% 0.20/0.51  # BW rewrite match successes           : 34
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 49159
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.044 s
% 0.20/0.51  # System time              : 0.002 s
% 0.20/0.51  # Total time               : 0.046 s
% 0.20/0.51  # Maximum resident set size: 1424 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.046 s
% 0.20/0.51  # System time              : 0.003 s
% 0.20/0.51  # Total time               : 0.049 s
% 0.20/0.51  # Maximum resident set size: 1668 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------