TSTP Solution File: GRP656-10 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : GRP656-10 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 20:58:33 EDT 2024

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   19 (  19 unt;   0 nHn;   4 RR)
%            Number of literals    :   19 (  18 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   0 con; 1-2 aty)
%            Number of variables   :   37 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(f04,axiom,
    rd(mult(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).

cnf(f05,axiom,
    mult(mult(X1,X2),mult(X3,X1)) = mult(mult(X1,mult(X2,X3)),X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).

cnf(f03,axiom,
    mult(rd(X1,X2),X2) = X1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).

cnf(f02,axiom,
    ld(X1,mult(X1,X2)) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).

cnf(goal,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).

cnf(c_0_5,axiom,
    rd(mult(X1,X2),X2) = X1,
    f04 ).

cnf(c_0_6,axiom,
    mult(mult(X1,X2),mult(X3,X1)) = mult(mult(X1,mult(X2,X3)),X1),
    f05 ).

cnf(c_0_7,plain,
    rd(mult(mult(X1,X2),mult(X3,X1)),X1) = mult(X1,mult(X2,X3)),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,axiom,
    mult(rd(X1,X2),X2) = X1,
    f03 ).

cnf(c_0_9,plain,
    rd(mult(mult(X1,X2),X3),X1) = mult(X1,mult(X2,rd(X3,X1))),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,axiom,
    ld(X1,mult(X1,X2)) = X2,
    f02 ).

cnf(c_0_11,plain,
    mult(X1,mult(X2,rd(X1,X1))) = mult(X1,X2),
    inference(spm,[status(thm)],[c_0_5,c_0_9]) ).

cnf(c_0_12,plain,
    mult(X1,rd(X2,X2)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    inference(fof_simplification,[status(thm)],[goal]) ).

cnf(c_0_14,plain,
    ld(X1,X1) = rd(X2,X2),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    tuple(mult(X1,x1(X1)),mult(x1_2(X1),X1)) != tuple(x1(X1),x1_2(X1)),
    c_0_13 ).

cnf(c_0_16,plain,
    mult(X1,ld(X2,X2)) = X1,
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_17,plain,
    mult(ld(X1,X1),X2) = X2,
    inference(spm,[status(thm)],[c_0_8,c_0_14]) ).

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
% 0.07/0.12  % Problem    : GRP656-10 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n021.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 04:21:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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/benchmark/theBenchmark.p
% 0.20/0.49  # Version: 3.1.0
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49  # Starting sh5l with 300s (1) cores
% 0.20/0.49  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 18532 completed with status 0
% 0.20/0.49  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.49  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.20/0.49  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.20/0.49  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.20/0.49  # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 18541 completed with status 0
% 0.20/0.49  # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.20/0.49  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49  # No SInE strategy applied
% 0.20/0.49  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.20/0.49  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.20/0.49  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.49  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.20/0.49  # Preprocessing time       : 0.001 s
% 0.20/0.49  
% 0.20/0.49  # Proof found!
% 0.20/0.49  # SZS status Unsatisfiable
% 0.20/0.49  # SZS output start CNFRefutation
% See solution above
% 0.20/0.49  # Parsed axioms                        : 6
% 0.20/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.49  # Initial clauses                      : 6
% 0.20/0.49  # Removed in clause preprocessing      : 0
% 0.20/0.49  # Initial clauses in saturation        : 6
% 0.20/0.49  # Processed clauses                    : 17
% 0.20/0.49  # ...of these trivial                  : 1
% 0.20/0.49  # ...subsumed                          : 0
% 0.20/0.49  # ...remaining for further processing  : 16
% 0.20/0.49  # Other redundant clauses eliminated   : 0
% 0.20/0.49  # Clauses deleted for lack of memory   : 0
% 0.20/0.49  # Backward-subsumed                    : 0
% 0.20/0.49  # Backward-rewritten                   : 2
% 0.20/0.49  # Generated clauses                    : 79
% 0.20/0.49  # ...of the previous two non-redundant : 56
% 0.20/0.49  # ...aggressively subsumed             : 0
% 0.20/0.49  # Contextual simplify-reflections      : 0
% 0.20/0.49  # Paramodulations                      : 79
% 0.20/0.49  # Factorizations                       : 0
% 0.20/0.49  # NegExts                              : 0
% 0.20/0.49  # Equation resolutions                 : 0
% 0.20/0.49  # Disequality decompositions           : 0
% 0.20/0.49  # Total rewrite steps                  : 30
% 0.20/0.49  # ...of those cached                   : 10
% 0.20/0.49  # Propositional unsat checks           : 0
% 0.20/0.49  #    Propositional check models        : 0
% 0.20/0.49  #    Propositional check unsatisfiable : 0
% 0.20/0.49  #    Propositional clauses             : 0
% 0.20/0.49  #    Propositional clauses after purity: 0
% 0.20/0.49  #    Propositional unsat core size     : 0
% 0.20/0.49  #    Propositional preprocessing time  : 0.000
% 0.20/0.49  #    Propositional encoding time       : 0.000
% 0.20/0.49  #    Propositional solver time         : 0.000
% 0.20/0.49  #    Success case prop preproc time    : 0.000
% 0.20/0.49  #    Success case prop encoding time   : 0.000
% 0.20/0.49  #    Success case prop solver time     : 0.000
% 0.20/0.49  # Current number of processed clauses  : 14
% 0.20/0.49  #    Positive orientable unit clauses  : 12
% 0.20/0.49  #    Positive unorientable unit clauses: 1
% 0.20/0.49  #    Negative unit clauses             : 1
% 0.20/0.49  #    Non-unit-clauses                  : 0
% 0.20/0.49  # Current number of unprocessed clauses: 45
% 0.20/0.49  # ...number of literals in the above   : 45
% 0.20/0.49  # Current number of archived formulas  : 0
% 0.20/0.49  # Current number of archived clauses   : 2
% 0.20/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.49  # Unit Clause-clause subsumption calls : 2
% 0.20/0.49  # Rewrite failures with RHS unbound    : 5
% 0.20/0.49  # BW rewrite match attempts            : 15
% 0.20/0.49  # BW rewrite match successes           : 3
% 0.20/0.49  # Condensation attempts                : 17
% 0.20/0.49  # Condensation successes               : 0
% 0.20/0.49  # Termbank termtop insertions          : 638
% 0.20/0.49  # Search garbage collected termcells   : 2
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.003 s
% 0.20/0.49  # System time              : 0.002 s
% 0.20/0.49  # Total time               : 0.006 s
% 0.20/0.49  # Maximum resident set size: 1552 pages
% 0.20/0.49  
% 0.20/0.49  # -------------------------------------------------
% 0.20/0.49  # User time                : 0.014 s
% 0.20/0.49  # System time              : 0.011 s
% 0.20/0.49  # Total time               : 0.025 s
% 0.20/0.49  # Maximum resident set size: 1684 pages
% 0.20/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------