TSTP Solution File: LCL161-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 18:23:57 EDT 2023

% Result   : Unsatisfiable 0.22s 0.51s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   3 RR)
%            Number of literals    :   22 (  21 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 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   :   28 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_2,axiom,
    xor(X1,falsehood) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',axiom_2) ).

cnf(xor_commutativity,axiom,
    xor(X1,X2) = xor(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',xor_commutativity) ).

cnf(axiom_7,axiom,
    xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',axiom_7) ).

cnf(axiom_3,axiom,
    xor(X1,X1) = falsehood,
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',axiom_3) ).

cnf(axiom_4,axiom,
    and_star(X1,truth) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',axiom_4) ).

cnf(and_star_commutativity,axiom,
    and_star(X1,X2) = and_star(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',and_star_commutativity) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = xor(truth,and_star(X1,xor(truth,X2))),
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',implies_definition) ).

cnf(prove_wajsberg_axiom,negated_conjecture,
    implies(truth,x) != x,
    file('/export/starexec/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p',prove_wajsberg_axiom) ).

cnf(c_0_8,axiom,
    xor(X1,falsehood) = X1,
    axiom_2 ).

cnf(c_0_9,axiom,
    xor(X1,X2) = xor(X2,X1),
    xor_commutativity ).

cnf(c_0_10,axiom,
    xor(X1,xor(truth,X2)) = xor(xor(X1,truth),X2),
    axiom_7 ).

cnf(c_0_11,axiom,
    xor(X1,X1) = falsehood,
    axiom_3 ).

cnf(c_0_12,axiom,
    and_star(X1,truth) = X1,
    axiom_4 ).

cnf(c_0_13,axiom,
    and_star(X1,X2) = and_star(X2,X1),
    and_star_commutativity ).

cnf(c_0_14,plain,
    xor(falsehood,X1) = X1,
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,plain,
    xor(X1,xor(truth,xor(truth,X2))) = xor(X1,X2),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_10]),c_0_11]),c_0_8]),c_0_10]) ).

cnf(c_0_16,axiom,
    implies(X1,X2) = xor(truth,and_star(X1,xor(truth,X2))),
    implies_definition ).

cnf(c_0_17,plain,
    and_star(truth,X1) = X1,
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,plain,
    xor(truth,xor(truth,X1)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    implies(truth,x) != x,
    prove_wajsberg_axiom ).

cnf(c_0_20,plain,
    implies(truth,X1) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n010.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Oct  2 12:46:20 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.niSImDTmGs/E---3.1_2071.p
% 0.22/0.51  # Version: 3.1pre001
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.51  # Starting sh5l with 300s (1) cores
% 0.22/0.51  # new_bool_3 with pid 2156 completed with status 0
% 0.22/0.51  # Result found by new_bool_3
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.22/0.51  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.22/0.51  # G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 2160 completed with status 0
% 0.22/0.51  # Result found by G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.22/0.51  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.51  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.51  # Search class: FUUPM-FFSF22-MFFFFFNN
% 0.22/0.51  # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.51  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 82s (1) cores
% 0.22/0.51  # Preprocessing time       : 0.001 s
% 0.22/0.51  # Presaturation interreduction done
% 0.22/0.51  
% 0.22/0.51  # Proof found!
% 0.22/0.51  # SZS status Unsatisfiable
% 0.22/0.51  # SZS output start CNFRefutation
% See solution above
% 0.22/0.51  # Parsed axioms                        : 14
% 0.22/0.51  # Removed by relevancy pruning/SinE    : 2
% 0.22/0.51  # Initial clauses                      : 12
% 0.22/0.51  # Removed in clause preprocessing      : 0
% 0.22/0.51  # Initial clauses in saturation        : 12
% 0.22/0.51  # Processed clauses                    : 52
% 0.22/0.51  # ...of these trivial                  : 12
% 0.22/0.51  # ...subsumed                          : 2
% 0.22/0.51  # ...remaining for further processing  : 38
% 0.22/0.51  # Other redundant clauses eliminated   : 0
% 0.22/0.51  # Clauses deleted for lack of memory   : 0
% 0.22/0.51  # Backward-subsumed                    : 0
% 0.22/0.51  # Backward-rewritten                   : 4
% 0.22/0.51  # Generated clauses                    : 153
% 0.22/0.51  # ...of the previous two non-redundant : 100
% 0.22/0.51  # ...aggressively subsumed             : 0
% 0.22/0.51  # Contextual simplify-reflections      : 0
% 0.22/0.51  # Paramodulations                      : 153
% 0.22/0.51  # Factorizations                       : 0
% 0.22/0.51  # NegExts                              : 0
% 0.22/0.51  # Equation resolutions                 : 0
% 0.22/0.51  # Total rewrite steps                  : 217
% 0.22/0.51  # Propositional unsat checks           : 0
% 0.22/0.51  #    Propositional check models        : 0
% 0.22/0.51  #    Propositional check unsatisfiable : 0
% 0.22/0.51  #    Propositional clauses             : 0
% 0.22/0.51  #    Propositional clauses after purity: 0
% 0.22/0.51  #    Propositional unsat core size     : 0
% 0.22/0.51  #    Propositional preprocessing time  : 0.000
% 0.22/0.51  #    Propositional encoding time       : 0.000
% 0.22/0.51  #    Propositional solver time         : 0.000
% 0.22/0.51  #    Success case prop preproc time    : 0.000
% 0.22/0.51  #    Success case prop encoding time   : 0.000
% 0.22/0.51  #    Success case prop solver time     : 0.000
% 0.22/0.51  # Current number of processed clauses  : 22
% 0.22/0.51  #    Positive orientable unit clauses  : 19
% 0.22/0.51  #    Positive unorientable unit clauses: 3
% 0.22/0.51  #    Negative unit clauses             : 0
% 0.22/0.51  #    Non-unit-clauses                  : 0
% 0.22/0.51  # Current number of unprocessed clauses: 72
% 0.22/0.51  # ...number of literals in the above   : 72
% 0.22/0.51  # Current number of archived formulas  : 0
% 0.22/0.51  # Current number of archived clauses   : 16
% 0.22/0.51  # Clause-clause subsumption calls (NU) : 0
% 0.22/0.51  # Rec. Clause-clause subsumption calls : 0
% 0.22/0.51  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.51  # Unit Clause-clause subsumption calls : 1
% 0.22/0.51  # Rewrite failures with RHS unbound    : 0
% 0.22/0.51  # BW rewrite match attempts            : 39
% 0.22/0.51  # BW rewrite match successes           : 31
% 0.22/0.51  # Condensation attempts                : 0
% 0.22/0.51  # Condensation successes               : 0
% 0.22/0.51  # Termbank termtop insertions          : 1940
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.005 s
% 0.22/0.51  # System time              : 0.001 s
% 0.22/0.51  # Total time               : 0.006 s
% 0.22/0.51  # Maximum resident set size: 1616 pages
% 0.22/0.51  
% 0.22/0.51  # -------------------------------------------------
% 0.22/0.51  # User time                : 0.005 s
% 0.22/0.51  # System time              : 0.004 s
% 0.22/0.51  # Total time               : 0.009 s
% 0.22/0.51  # Maximum resident set size: 1676 pages
% 0.22/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------