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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n017.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 03:23:02 PM UTC 2026

% Result   : Unsatisfiable 0.11s 0.44s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   23 (  11 unt;   8 nHn;  18 RR)
%            Number of literals    :   39 (  25 equ;  12 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_this,negated_conjecture,
    ~ big_p(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(clause_1,axiom,
    ( X1 = d
    | X1 = c ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).

cnf(clause_3,axiom,
    big_p(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).

cnf(clause_2,axiom,
    big_p(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).

cnf(clause_4,axiom,
    a != b,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).

cnf(c_0_5,negated_conjecture,
    ~ big_p(e),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_6,negated_conjecture,
    ~ big_p(e),
    c_0_5 ).

cnf(c_0_7,axiom,
    ( X1 = d
    | X1 = c ),
    clause_1 ).

cnf(c_0_8,negated_conjecture,
    ( ~ big_p(d)
    | e = c ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ big_p(X1)
    | X1 = c
    | e = c ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_10,axiom,
    big_p(b),
    clause_3 ).

cnf(c_0_11,negated_conjecture,
    ( e = c
    | c = b ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,axiom,
    big_p(a),
    clause_2 ).

cnf(c_0_13,negated_conjecture,
    ( ~ big_p(c)
    | c = b ),
    inference(spm,[status(thm)],[c_0_6,c_0_11]) ).

cnf(c_0_14,plain,
    ( X2 = X1
    | X2 = c
    | X1 = c ),
    inference(spm,[status(thm)],[c_0_7,c_0_7]) ).

cnf(c_0_15,plain,
    a != b,
    inference(fof_simplification,[status(thm)],[clause_4]) ).

cnf(c_0_16,negated_conjecture,
    ( e = c
    | c = a ),
    inference(spm,[status(thm)],[c_0_9,c_0_12]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ big_p(X2)
    | X1 = X2
    | X2 = b
    | X1 = c ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    a != b,
    c_0_15 ).

cnf(c_0_19,negated_conjecture,
    ( ~ big_p(c)
    | c = a ),
    inference(spm,[status(thm)],[c_0_6,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( X1 = c
    | X1 = a ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ big_p(X1)
    | X1 = a ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_10]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN072-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n017.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Mon Sep 21 10:37:28 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  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
% 0.11/0.44  % Version: 3.5.1
% 0.11/0.44  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.44  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.44  % Starting sh5l with 300s (1) cores
% 0.11/0.44  % G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2119000 completed with status 0
% 0.11/0.44  % Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.11/0.44  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44  % No SInE strategy applied
% 0.11/0.44  % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.11/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.44  % Starting new_bool_3 with 136s (1) cores
% 0.11/0.44  % Starting new_bool_1 with 136s (1) cores
% 0.11/0.44  % new_bool_3 with pid 2119010 completed with status 0
% 0.11/0.44  % Result found by new_bool_3
% 0.11/0.44  % Preprocessing class: FSSSSMSSSSSNFFN.
% 0.11/0.44  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.44  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.11/0.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.44  % No SInE strategy applied
% 0.11/0.44  % Search class: FGUSF-FFSF00-SFFFFFNN
% 0.11/0.44  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.44  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.44  % Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.11/0.44  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.11/0.44  % Starting new_bool_3 with 136s (1) cores
% 0.11/0.44  % Preprocessing time       : 0.001 s
% 0.11/0.44  % Presaturation interreduction done
% 0.11/0.44  
% 0.11/0.44  % Proof found!
% 0.11/0.44  % SZS status Unsatisfiable
% 0.11/0.44  % SZS output start CNFRefutation
% See solution above
% 0.11/0.44  % Parsed axioms                        : 5
% 0.11/0.44  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.44  % Initial clauses                      : 5
% 0.11/0.44  % Removed in clause preprocessing      : 0
% 0.11/0.44  % Initial clauses in saturation        : 5
% 0.11/0.44  % Processed clauses                    : 44
% 0.11/0.44  % ...of these trivial                  : 0
% 0.11/0.44  % ...subsumed                          : 22
% 0.11/0.44  % ...remaining for further processing  : 22
% 0.11/0.44  % Other redundant clauses eliminated   : 4
% 0.11/0.44  % Clauses deleted for lack of memory   : 0
% 0.11/0.44  % Backward-subsumed                    : 1
% 0.11/0.44  % Backward-rewritten                   : 0
% 0.11/0.44  % Generated clauses                    : 114
% 0.11/0.44  % ...of the previous two non-redundant : 78
% 0.11/0.44  % ...aggressively subsumed             : 0
% 0.11/0.44  % Contextual simplify-reflections      : 0
% 0.11/0.44  % Paramodulations                      : 76
% 0.11/0.44  % Factorizations                       : 34
% 0.11/0.44  % NegExts                              : 0
% 0.11/0.44  % Equation resolutions                 : 4
% 0.11/0.44  % Disequality decompositions           : 0
% 0.11/0.44  % Total rewrite steps                  : 0
% 0.11/0.44  % ...of those cached                   : 0
% 0.11/0.44  % Propositional unsat checks           : 0
% 0.11/0.44  %    Propositional check models        : 0
% 0.11/0.44  %    Propositional check unsatisfiable : 0
% 0.11/0.44  %    Propositional clauses             : 0
% 0.11/0.44  %    Propositional clauses after purity: 0
% 0.11/0.44  %    Propositional unsat core size     : 0
% 0.11/0.44  %    Propositional preprocessing time  : 0.000
% 0.11/0.44  %    Propositional encoding time       : 0.000
% 0.11/0.44  %    Propositional solver time         : 0.000
% 0.11/0.44  %    Success case prop preproc time    : 0.000
% 0.11/0.44  %    Success case prop encoding time   : 0.000
% 0.11/0.44  %    Success case prop solver time     : 0.000
% 0.11/0.44  % Current number of processed clauses  : 16
% 0.11/0.44  %    Positive orientable unit clauses  : 2
% 0.11/0.44  %    Positive unorientable unit clauses: 0
% 0.11/0.44  %    Negative unit clauses             : 2
% 0.11/0.44  %    Non-unit-clauses                  : 12
% 0.11/0.44  % Current number of unprocessed clauses: 44
% 0.11/0.44  % ...number of literals in the above   : 170
% 0.11/0.44  % Current number of archived formulas  : 0
% 0.11/0.44  % Current number of archived clauses   : 6
% 0.11/0.44  % Clause-clause subsumption calls (NU) : 117
% 0.11/0.44  % Rec. Clause-clause subsumption calls : 100
% 0.11/0.44  % Non-unit clause-clause subsumptions  : 23
% 0.11/0.44  % Unit Clause-clause subsumption calls : 0
% 0.11/0.44  % Rewrite failures with RHS unbound    : 0
% 0.11/0.44  % BW rewrite match attempts            : 0
% 0.11/0.44  % BW rewrite match successes           : 0
% 0.11/0.44  % Condensation attempts                : 0
% 0.11/0.44  % Condensation successes               : 0
% 0.11/0.44  % Termbank termtop insertions          : 395
% 0.11/0.44  % Search garbage collected termcells   : 4
% 0.11/0.44  
% 0.11/0.44  % -------------------------------------------------
% 0.11/0.44  % User time                : 0.002 s
% 0.11/0.44  % System time              : 0.002 s
% 0.11/0.44  % Total time               : 0.005 s
% 0.11/0.44  % Maximum resident set size: 3372 pages
% 0.11/0.44  
% 0.11/0.44  % -------------------------------------------------
% 0.11/0.44  % User time                : 0.013 s
% 0.11/0.44  % System time              : 0.012 s
% 0.11/0.44  % Total time               : 0.024 s
% 0.11/0.44  % Maximum resident set size: 4608 pages
% 0.11/0.44  % E exiting
%------------------------------------------------------------------------------