TSTP Solution File: ROB016-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 19:16:10 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   17 (  14 unt;   0 nHn;  12 RR)
%            Number of literals    :   22 (  16 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    8 (   3 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(robbins_axiom,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',robbins_axiom) ).

cnf(commutativity_of_add,axiom,
    add(X1,X2) = add(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',commutativity_of_add) ).

cnf(condition,hypothesis,
    negate(add(d,e)) = negate(e),
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',condition) ).

cnf(lemma_3_6,axiom,
    ( negate(add(X1,multiply(X3,add(X2,negate(add(X2,negate(X1))))))) = negate(X1)
    | negate(add(negate(X1),negate(add(X2,negate(X1))))) != X2
    | ~ positive_integer(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',lemma_3_6) ).

cnf(k_positive,axiom,
    positive_integer(k),
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',k_positive) ).

cnf(prove_result,negated_conjecture,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
    file('/export/starexec/sandbox/tmp/tmp.hCG4aexmYH/E---3.1_23579.p',prove_result) ).

cnf(c_0_6,axiom,
    negate(add(negate(add(X1,X2)),negate(add(X1,negate(X2))))) = X1,
    robbins_axiom ).

cnf(c_0_7,axiom,
    add(X1,X2) = add(X2,X1),
    commutativity_of_add ).

cnf(c_0_8,hypothesis,
    negate(add(d,e)) = negate(e),
    condition ).

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

cnf(c_0_10,hypothesis,
    negate(add(e,d)) = negate(e),
    inference(rw,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_11,axiom,
    ( negate(add(X1,multiply(X3,add(X2,negate(add(X2,negate(X1))))))) = negate(X1)
    | negate(add(negate(X1),negate(add(X2,negate(X1))))) != X2
    | ~ positive_integer(X3) ),
    lemma_3_6 ).

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

cnf(c_0_13,hypothesis,
    ( negate(add(e,multiply(X1,add(d,negate(add(d,negate(e))))))) = negate(e)
    | ~ positive_integer(X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    positive_integer(k),
    k_positive ).

cnf(c_0_15,negated_conjecture,
    negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
    prove_result ).

cnf(c_0_16,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : ROB016-1 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Oct  3 01:01:22 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.41  Running first-order model finding
% 0.16/0.41  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.hCG4aexmYH/E---3.1_23579.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # sh5l with pid 23660 completed with status 0
% 0.16/0.44  # Result found by sh5l
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FHUSM-FFSS21-DFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 121s (1) cores
% 0.16/0.44  # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 23666 completed with status 0
% 0.16/0.44  # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FHUSM-FFSS21-DFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 121s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 11
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.44  # Initial clauses                      : 11
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 11
% 0.16/0.44  # Processed clauses                    : 129
% 0.16/0.44  # ...of these trivial                  : 26
% 0.16/0.44  # ...subsumed                          : 37
% 0.16/0.44  # ...remaining for further processing  : 66
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 1
% 0.16/0.44  # Generated clauses                    : 1011
% 0.16/0.44  # ...of the previous two non-redundant : 946
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 1011
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Total rewrite steps                  : 605
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 65
% 0.16/0.44  #    Positive orientable unit clauses  : 56
% 0.16/0.44  #    Positive unorientable unit clauses: 4
% 0.16/0.44  #    Negative unit clauses             : 1
% 0.16/0.44  #    Non-unit-clauses                  : 4
% 0.16/0.44  # Current number of unprocessed clauses: 828
% 0.16/0.44  # ...number of literals in the above   : 974
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 1
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.44  # Unit Clause-clause subsumption calls : 31
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 335
% 0.16/0.44  # BW rewrite match successes           : 16
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 23391
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.018 s
% 0.16/0.44  # System time              : 0.001 s
% 0.16/0.44  # Total time               : 0.019 s
% 0.16/0.44  # Maximum resident set size: 1632 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.019 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.022 s
% 0.16/0.44  # Maximum resident set size: 1684 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------