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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL850-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:16:36 PM UTC 2026

% Result   : Unsatisfiable 0.07s 0.42s
% Output   : CNFRefutation 0.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    9 (   9 unt;   0 nHn;   4 RR)
%            Number of literals    :    9 (   2 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-4 aty)
%            Number of variables   :   16 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_typing_OVar_0,axiom,
    c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_typing_OVar_0) ).

cnf(cls_shift__eq_0,axiom,
    hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_shift__eq_0) ).

cnf(c_0_3,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
    inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).

cnf(c_0_4,axiom,
    c_Type_Otyping(X1,c_Lambda_OdB_OVar(X2),hAPP(X1,X2)),
    cls_typing_OVar_0 ).

cnf(c_0_5,axiom,
    hAPP(c_Type_Oshift(X1,X2,X3,X4),X2) = X3,
    cls_shift__eq_0 ).

cnf(c_0_6,negated_conjecture,
    ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)),
    c_0_3 ).

cnf(c_0_7,plain,
    c_Type_Otyping(c_Type_Oshift(X1,X2,X3,X4),c_Lambda_OdB_OVar(X2),X3),
    inference(spm,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : LCL850-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31  % Computer : n012.cluster.edu
% 0.03/0.31  % Model    : x86_64 x86_64
% 0.03/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31  % Memory   : 8046.5625MB
% 0.03/0.31  % OS       : Linux 6.8.0-71-generic
% 0.03/0.31  % CPULimit : 300
% 0.03/0.31  % WCLimit  : 300
% 0.03/0.31  % DateTime : Mon Sep 21 01:07:52 UTC 2026
% 0.03/0.31  % CPUTime  : 
% 0.03/0.31  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33  Running first-order theorem proving
% 0.07/0.33  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.07/0.42  % Version: 3.5.1
% 0.07/0.42  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.07/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.42  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.07/0.42  % Starting new_bool_3 with 600s (2) cores
% 0.07/0.42  % Starting new_bool_1 with 300s (1) cores
% 0.07/0.42  % Starting sh5l with 300s (1) cores
% 0.07/0.42  % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 1275503 completed with status 0
% 0.07/0.42  % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.07/0.42  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.07/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.42  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.07/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.42  % No SInE strategy applied
% 0.07/0.42  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.07/0.42  % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.07/0.42  % Starting SubtermCWHack with 109s (1) cores
% 0.07/0.42  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.07/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.07/0.42  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.07/0.42  % G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with pid 1275514 completed with status 0
% 0.07/0.42  % Result found by G-E--_300_C18_F1_SE_CS_SP_PS_S0Y
% 0.07/0.42  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.07/0.42  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.07/0.42  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.07/0.42  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.07/0.42  % No SInE strategy applied
% 0.07/0.42  % Search class: FGHSM-FSLM32-DFFFFFNN
% 0.07/0.42  % Scheduled 13 strats onto 4 cores with 1200 seconds (1200 total)
% 0.07/0.42  % Starting SubtermCWHack with 109s (1) cores
% 0.07/0.42  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.07/0.42  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 90s (1) cores
% 0.07/0.42  % Starting G-E--_300_C18_F1_SE_CS_SP_PS_S0Y with 90s (1) cores
% 0.07/0.42  % Preprocessing time       : 0.007 s
% 0.07/0.42  % Presaturation interreduction done
% 0.07/0.42  
% 0.07/0.42  % Proof found!
% 0.07/0.42  % SZS status Unsatisfiable
% 0.07/0.42  % SZS output start CNFRefutation
% See solution above
% 0.07/0.42  % Parsed axioms                        : 902
% 0.07/0.42  % Removed by relevancy pruning/SinE    : 0
% 0.07/0.42  % Initial clauses                      : 902
% 0.07/0.42  % Removed in clause preprocessing      : 1
% 0.07/0.42  % Initial clauses in saturation        : 901
% 0.07/0.42  % Processed clauses                    : 1064
% 0.07/0.42  % ...of these trivial                  : 40
% 0.07/0.42  % ...subsumed                          : 154
% 0.07/0.42  % ...remaining for further processing  : 870
% 0.07/0.42  % Other redundant clauses eliminated   : 0
% 0.07/0.42  % Clauses deleted for lack of memory   : 0
% 0.07/0.42  % Backward-subsumed                    : 1
% 0.07/0.42  % Backward-rewritten                   : 9
% 0.07/0.42  % Generated clauses                    : 99
% 0.07/0.42  % ...of the previous two non-redundant : 60
% 0.07/0.42  % ...aggressively subsumed             : 0
% 0.07/0.42  % Contextual simplify-reflections      : 1
% 0.07/0.42  % Paramodulations                      : 94
% 0.07/0.42  % Factorizations                       : 2
% 0.07/0.42  % NegExts                              : 0
% 0.07/0.42  % Equation resolutions                 : 3
% 0.07/0.42  % Disequality decompositions           : 0
% 0.07/0.42  % Total rewrite steps                  : 146
% 0.07/0.42  % ...of those cached                   : 69
% 0.07/0.42  % Propositional unsat checks           : 0
% 0.07/0.42  %    Propositional check models        : 0
% 0.07/0.42  %    Propositional check unsatisfiable : 0
% 0.07/0.42  %    Propositional clauses             : 0
% 0.07/0.42  %    Propositional clauses after purity: 0
% 0.07/0.42  %    Propositional unsat core size     : 0
% 0.07/0.42  %    Propositional preprocessing time  : 0.000
% 0.07/0.42  %    Propositional encoding time       : 0.000
% 0.07/0.42  %    Propositional solver time         : 0.000
% 0.07/0.42  %    Success case prop preproc time    : 0.000
% 0.07/0.42  %    Success case prop encoding time   : 0.000
% 0.07/0.42  %    Success case prop solver time     : 0.000
% 0.07/0.42  % Current number of processed clauses  : 135
% 0.07/0.42  %    Positive orientable unit clauses  : 93
% 0.07/0.42  %    Positive unorientable unit clauses: 1
% 0.07/0.42  %    Negative unit clauses             : 17
% 0.07/0.42  %    Non-unit-clauses                  : 24
% 0.07/0.42  % Current number of unprocessed clauses: 621
% 0.07/0.42  % ...number of literals in the above   : 1646
% 0.07/0.42  % Current number of archived formulas  : 0
% 0.07/0.42  % Current number of archived clauses   : 736
% 0.07/0.42  % Clause-clause subsumption calls (NU) : 46756
% 0.07/0.42  % Rec. Clause-clause subsumption calls : 30139
% 0.07/0.42  % Non-unit clause-clause subsumptions  : 128
% 0.07/0.42  % Unit Clause-clause subsumption calls : 344
% 0.07/0.42  % Rewrite failures with RHS unbound    : 0
% 0.07/0.42  % BW rewrite match attempts            : 79
% 0.07/0.42  % BW rewrite match successes           : 36
% 0.07/0.42  % Condensation attempts                : 0
% 0.07/0.42  % Condensation successes               : 0
% 0.07/0.42  % Termbank termtop insertions          : 41092
% 0.07/0.42  % Search garbage collected termcells   : 1641
% 0.07/0.42  
% 0.07/0.42  % -------------------------------------------------
% 0.07/0.42  % User time                : 0.063 s
% 0.07/0.42  % System time              : 0.005 s
% 0.07/0.42  % Total time               : 0.069 s
% 0.07/0.42  % Maximum resident set size: 5288 pages
% 0.07/0.42  
% 0.07/0.42  % -------------------------------------------------
% 0.07/0.42  % User time                : 0.238 s
% 0.07/0.42  % System time              : 0.017 s
% 0.07/0.42  % Total time               : 0.254 s
% 0.07/0.42  % Maximum resident set size: 5376 pages
% 0.07/0.42  % E exiting
%------------------------------------------------------------------------------