TSTP Solution File: SWV603-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SWV603-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 : Tue May 21 05:31:13 EDT 2024

% Result   : Unsatisfiable 0.39s 0.59s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  24 unt;   0 nHn;  17 RR)
%            Number of literals    :   30 (  24 equ;   6 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   5 con; 0-3 aty)
%            Number of variables   :   19 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).

cnf(cls_real__two__squares__add__zero__iff_2,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).

cnf(cls_real__add__mult__distrib_0,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).

cnf(cls_real__mult__commute_0,axiom,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_real__zero__not__eq__one_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).

cnf(cls_real__sqrt__abs2_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).

cnf(cls_real__sqrt__zero_0,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).

cnf(c_0_10,plain,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(fof_simplification,[status(thm)],[cls_class__semiring_Osemiring__rules_I6_J_0]) ).

cnf(c_0_11,axiom,
    c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    cls_real__two__squares__add__zero__iff_2 ).

cnf(c_0_12,axiom,
    c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_real__add__mult__distrib_0 ).

cnf(c_0_13,axiom,
    c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
    cls_real__mult__commute_0 ).

cnf(c_0_14,plain,
    ( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_10 ).

cnf(c_0_15,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1 ).

cnf(c_0_16,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_17,plain,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    cls_conjecture_1 ).

cnf(c_0_19,negated_conjecture,
    c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    cls_conjecture_0 ).

cnf(c_0_20,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_real__zero__not__eq__one_0]) ).

cnf(c_0_21,axiom,
    c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
    cls_real__sqrt__abs2_0 ).

cnf(c_0_22,plain,
    c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_23,axiom,
    c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    cls_real__sqrt__zero_0 ).

cnf(c_0_24,negated_conjecture,
    c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_25,plain,
    c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
    c_0_20 ).

cnf(c_0_26,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV603-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n004.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 06:31:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running first-order theorem proving
% 0.22/0.51  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.59  # Version: 3.1.0
% 0.39/0.59  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59  # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59  # Starting new_bool_1 with 600s (2) cores
% 0.39/0.59  # Starting sh5l with 300s (1) cores
% 0.39/0.59  # new_bool_3 with pid 29981 completed with status 0
% 0.39/0.59  # Result found by new_bool_3
% 0.39/0.59  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59  # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.39/0.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.39/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.39/0.59  # Starting new_bool_3 with 61s (1) cores
% 0.39/0.59  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 29984 completed with status 0
% 0.39/0.59  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.39/0.59  # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59  # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59  # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.39/0.59  # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.39/0.59  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.39/0.59  # Preprocessing time       : 0.005 s
% 0.39/0.59  # Presaturation interreduction done
% 0.39/0.59  
% 0.39/0.59  # Proof found!
% 0.39/0.59  # SZS status Unsatisfiable
% 0.39/0.59  # SZS output start CNFRefutation
% See solution above
% 0.39/0.59  # Parsed axioms                        : 1111
% 0.39/0.59  # Removed by relevancy pruning/SinE    : 588
% 0.39/0.59  # Initial clauses                      : 523
% 0.39/0.59  # Removed in clause preprocessing      : 0
% 0.39/0.59  # Initial clauses in saturation        : 523
% 0.39/0.59  # Processed clauses                    : 662
% 0.39/0.59  # ...of these trivial                  : 5
% 0.39/0.59  # ...subsumed                          : 144
% 0.39/0.59  # ...remaining for further processing  : 513
% 0.39/0.59  # Other redundant clauses eliminated   : 0
% 0.39/0.59  # Clauses deleted for lack of memory   : 0
% 0.39/0.59  # Backward-subsumed                    : 0
% 0.39/0.59  # Backward-rewritten                   : 16
% 0.39/0.59  # Generated clauses                    : 123
% 0.39/0.59  # ...of the previous two non-redundant : 99
% 0.39/0.59  # ...aggressively subsumed             : 0
% 0.39/0.59  # Contextual simplify-reflections      : 1
% 0.39/0.59  # Paramodulations                      : 119
% 0.39/0.59  # Factorizations                       : 0
% 0.39/0.59  # NegExts                              : 0
% 0.39/0.59  # Equation resolutions                 : 4
% 0.39/0.59  # Disequality decompositions           : 0
% 0.39/0.59  # Total rewrite steps                  : 92
% 0.39/0.59  # ...of those cached                   : 37
% 0.39/0.59  # Propositional unsat checks           : 0
% 0.39/0.59  #    Propositional check models        : 0
% 0.39/0.59  #    Propositional check unsatisfiable : 0
% 0.39/0.59  #    Propositional clauses             : 0
% 0.39/0.59  #    Propositional clauses after purity: 0
% 0.39/0.59  #    Propositional unsat core size     : 0
% 0.39/0.59  #    Propositional preprocessing time  : 0.000
% 0.39/0.59  #    Propositional encoding time       : 0.000
% 0.39/0.59  #    Propositional solver time         : 0.000
% 0.39/0.59  #    Success case prop preproc time    : 0.000
% 0.39/0.59  #    Success case prop encoding time   : 0.000
% 0.39/0.59  #    Success case prop solver time     : 0.000
% 0.39/0.59  # Current number of processed clauses  : 110
% 0.39/0.59  #    Positive orientable unit clauses  : 62
% 0.39/0.59  #    Positive unorientable unit clauses: 0
% 0.39/0.59  #    Negative unit clauses             : 19
% 0.39/0.59  #    Non-unit-clauses                  : 29
% 0.39/0.59  # Current number of unprocessed clauses: 346
% 0.39/0.59  # ...number of literals in the above   : 1002
% 0.39/0.59  # Current number of archived formulas  : 0
% 0.39/0.59  # Current number of archived clauses   : 403
% 0.39/0.59  # Clause-clause subsumption calls (NU) : 11004
% 0.39/0.59  # Rec. Clause-clause subsumption calls : 4340
% 0.39/0.59  # Non-unit clause-clause subsumptions  : 136
% 0.39/0.59  # Unit Clause-clause subsumption calls : 22
% 0.39/0.59  # Rewrite failures with RHS unbound    : 0
% 0.39/0.59  # BW rewrite match attempts            : 68
% 0.39/0.59  # BW rewrite match successes           : 33
% 0.39/0.59  # Condensation attempts                : 0
% 0.39/0.59  # Condensation successes               : 0
% 0.39/0.59  # Termbank termtop insertions          : 34642
% 0.39/0.59  # Search garbage collected termcells   : 3043
% 0.39/0.59  
% 0.39/0.59  # -------------------------------------------------
% 0.39/0.59  # User time                : 0.038 s
% 0.39/0.59  # System time              : 0.005 s
% 0.39/0.59  # Total time               : 0.043 s
% 0.39/0.59  # Maximum resident set size: 3244 pages
% 0.39/0.59  
% 0.39/0.59  # -------------------------------------------------
% 0.39/0.59  # User time                : 0.101 s
% 0.39/0.59  # System time              : 0.009 s
% 0.39/0.59  # Total time               : 0.111 s
% 0.39/0.59  # Maximum resident set size: 2484 pages
% 0.39/0.59  % E---3.1 exiting
% 0.39/0.59  % E exiting
%------------------------------------------------------------------------------