TSTP Solution File: SWV592-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 : Sat May  4 09:59:05 EDT 2024

% Result   : Unsatisfiable 0.15s 0.56s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   34 (  31 unt;   0 nHn;  10 RR)
%            Number of literals    :   37 (  36 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   34 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_real__add__eq__0__iff_1,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_real__add__eq__0__iff_1) ).

cnf(cls_real__diff__def_0,axiom,
    c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_real__diff__def_0) ).

cnf(cls_real__add__eq__0__iff_0,axiom,
    ( X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_real__add__eq__0__iff_0) ).

cnf(cls_eq__diff__eq_H_0,axiom,
    X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_eq__diff__eq_H_0) ).

cnf(cls_sin__periodic__pi_0,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_sin__periodic__pi_0) ).

cnf(cls_sin__minus_0,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_sin__minus_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_conjecture_0) ).

cnf(cls_sin__periodic__pi2_0,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    file('/export/starexec/sandbox/tmp/tmp.ZYS0Y94i7z/E---3.1_27674.p',cls_sin__periodic__pi2_0) ).

cnf(c_0_8,axiom,
    c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    cls_real__add__eq__0__iff_1 ).

cnf(c_0_9,axiom,
    c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
    cls_real__diff__def_0 ).

cnf(c_0_10,plain,
    ( X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[cls_real__add__eq__0__iff_0]) ).

cnf(c_0_11,axiom,
    X1 = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),X2,tc_RealDef_Oreal),
    cls_eq__diff__eq_H_0 ).

cnf(c_0_12,plain,
    c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(rw,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( X2 = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
    | c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_10 ).

cnf(c_0_14,plain,
    c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = X1,
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    cls_sin__periodic__pi_0 ).

cnf(c_0_16,axiom,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    cls_sin__minus_0 ).

cnf(c_0_17,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_11])]) ).

cnf(c_0_18,plain,
    c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),
    inference(spm,[status(thm)],[c_0_9,c_0_14]) ).

cnf(c_0_19,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_20,plain,
    c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,axiom,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
    cls_sin__periodic__pi2_0 ).

cnf(c_0_23,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(v_x),tc_RealDef_Oreal),
    c_0_19 ).

cnf(c_0_24,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_16]),c_0_20]) ).

cnf(c_0_26,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(v_x,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_23,c_0_16]) ).

cnf(c_0_27,plain,
    c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_16,c_0_20]) ).

cnf(c_0_28,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_9]) ).

cnf(c_0_29,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_26,c_0_20]) ).

cnf(c_0_30,plain,
    c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_20]),c_0_27]),c_0_25]),c_0_9]),c_0_28]),c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(v_x,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,v_x,tc_RealDef_Oreal)),
    inference(rw,[status(thm)],[c_0_29,c_0_25]) ).

cnf(c_0_32,plain,
    c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)),
    inference(spm,[status(thm)],[c_0_30,c_0_11]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV592-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n025.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Fri May  3 17:02:53 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.15/0.48  Running first-order model finding
% 0.15/0.48  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.ZYS0Y94i7z/E---3.1_27674.p
% 0.15/0.56  # Version: 3.1.0
% 0.15/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.56  # Starting sh5l with 300s (1) cores
% 0.15/0.56  # new_bool_1 with pid 27753 completed with status 0
% 0.15/0.56  # Result found by new_bool_1
% 0.15/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.56  # Search class: FGUSM-FFMS32-MFFFFFNN
% 0.15/0.56  # partial match(1): FGUSF-FFMS32-MFFFFFNN
% 0.15/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.56  # SAT001_MinMin_p005000_rr_RG with pid 27755 completed with status 0
% 0.15/0.56  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.56  # Search class: FGUSM-FFMS32-MFFFFFNN
% 0.15/0.56  # partial match(1): FGUSF-FFMS32-MFFFFFNN
% 0.15/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.56  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.56  # Preprocessing time       : 0.003 s
% 0.15/0.56  # Presaturation interreduction done
% 0.15/0.56  
% 0.15/0.56  # Proof found!
% 0.15/0.56  # SZS status Unsatisfiable
% 0.15/0.56  # SZS output start CNFRefutation
% See solution above
% 0.15/0.56  # Parsed axioms                        : 924
% 0.15/0.56  # Removed by relevancy pruning/SinE    : 850
% 0.15/0.56  # Initial clauses                      : 74
% 0.15/0.56  # Removed in clause preprocessing      : 0
% 0.15/0.56  # Initial clauses in saturation        : 74
% 0.15/0.56  # Processed clauses                    : 488
% 0.15/0.56  # ...of these trivial                  : 7
% 0.15/0.56  # ...subsumed                          : 217
% 0.15/0.56  # ...remaining for further processing  : 264
% 0.15/0.56  # Other redundant clauses eliminated   : 4
% 0.15/0.56  # Clauses deleted for lack of memory   : 0
% 0.15/0.56  # Backward-subsumed                    : 2
% 0.15/0.56  # Backward-rewritten                   : 43
% 0.15/0.56  # Generated clauses                    : 2638
% 0.15/0.56  # ...of the previous two non-redundant : 1639
% 0.15/0.56  # ...aggressively subsumed             : 0
% 0.15/0.56  # Contextual simplify-reflections      : 0
% 0.15/0.56  # Paramodulations                      : 2630
% 0.15/0.56  # Factorizations                       : 2
% 0.15/0.56  # NegExts                              : 0
% 0.15/0.56  # Equation resolutions                 : 6
% 0.15/0.56  # Disequality decompositions           : 0
% 0.15/0.56  # Total rewrite steps                  : 3534
% 0.15/0.56  # ...of those cached                   : 3415
% 0.15/0.56  # Propositional unsat checks           : 0
% 0.15/0.56  #    Propositional check models        : 0
% 0.15/0.56  #    Propositional check unsatisfiable : 0
% 0.15/0.56  #    Propositional clauses             : 0
% 0.15/0.56  #    Propositional clauses after purity: 0
% 0.15/0.56  #    Propositional unsat core size     : 0
% 0.15/0.56  #    Propositional preprocessing time  : 0.000
% 0.15/0.56  #    Propositional encoding time       : 0.000
% 0.15/0.56  #    Propositional solver time         : 0.000
% 0.15/0.56  #    Success case prop preproc time    : 0.000
% 0.15/0.56  #    Success case prop encoding time   : 0.000
% 0.15/0.56  #    Success case prop solver time     : 0.000
% 0.15/0.56  # Current number of processed clauses  : 145
% 0.15/0.56  #    Positive orientable unit clauses  : 44
% 0.15/0.56  #    Positive unorientable unit clauses: 3
% 0.15/0.56  #    Negative unit clauses             : 6
% 0.15/0.56  #    Non-unit-clauses                  : 92
% 0.15/0.56  # Current number of unprocessed clauses: 1271
% 0.15/0.56  # ...number of literals in the above   : 2652
% 0.15/0.56  # Current number of archived formulas  : 0
% 0.15/0.56  # Current number of archived clauses   : 119
% 0.15/0.56  # Clause-clause subsumption calls (NU) : 2122
% 0.15/0.56  # Rec. Clause-clause subsumption calls : 1783
% 0.15/0.56  # Non-unit clause-clause subsumptions  : 112
% 0.15/0.56  # Unit Clause-clause subsumption calls : 89
% 0.15/0.56  # Rewrite failures with RHS unbound    : 0
% 0.15/0.56  # BW rewrite match attempts            : 68
% 0.15/0.56  # BW rewrite match successes           : 53
% 0.15/0.56  # Condensation attempts                : 0
% 0.15/0.56  # Condensation successes               : 0
% 0.15/0.56  # Termbank termtop insertions          : 64347
% 0.15/0.56  # Search garbage collected termcells   : 3062
% 0.15/0.56  
% 0.15/0.56  # -------------------------------------------------
% 0.15/0.56  # User time                : 0.041 s
% 0.15/0.56  # System time              : 0.005 s
% 0.15/0.56  # Total time               : 0.046 s
% 0.15/0.56  # Maximum resident set size: 2604 pages
% 0.15/0.56  
% 0.15/0.56  # -------------------------------------------------
% 0.15/0.56  # User time                : 0.065 s
% 0.15/0.56  # System time              : 0.008 s
% 0.15/0.56  # Total time               : 0.073 s
% 0.15/0.56  # Maximum resident set size: 2344 pages
% 0.15/0.56  % E---3.1 exiting
%------------------------------------------------------------------------------