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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n010.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 03:23:08 PM UTC 2026

% Result   : Unsatisfiable 0.06s 0.48s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   18 (   8 unt;   0 nHn;  18 RR)
%            Number of literals    :   38 (   0 equ;  23 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(n_s2_type11_1,axiom,
    ( ~ p_1_1(X1,X2)
    | ~ p_2_2(X1,X2)
    | p_1_2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_type11_1) ).

cnf(n_t2_1,axiom,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_1_1(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_1) ).

cnf(n_t2_3,axiom,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_2_2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_t2_3) ).

cnf(n_s2_goal_1,negated_conjecture,
    ~ p_1_2(a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_s2_goal_1) ).

cnf(n_3,axiom,
    nq_2(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_3) ).

cnf(n_1,axiom,
    nq_1(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',n_1) ).

cnf(c_0_6,plain,
    ( ~ p_1_1(X1,X2)
    | ~ p_2_2(X1,X2)
    | p_1_2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[n_s2_type11_1]) ).

cnf(c_0_7,plain,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_1_1(X1,X2) ),
    inference(fof_simplification,[status(thm)],[n_t2_1]) ).

cnf(c_0_8,plain,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_2_2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[n_t2_3]) ).

cnf(c_0_9,negated_conjecture,
    ~ p_1_2(a,a),
    inference(fof_simplification,[status(thm)],[n_s2_goal_1]) ).

cnf(c_0_10,plain,
    ( ~ p_1_1(X1,X2)
    | ~ p_2_2(X1,X2)
    | p_1_2(X1,X2) ),
    c_0_6 ).

cnf(c_0_11,plain,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_1_1(X1,X2) ),
    c_0_7 ).

cnf(c_0_12,plain,
    ( ~ nq_2(X2)
    | ~ nq_1(X1)
    | p_2_2(X1,X2) ),
    c_0_8 ).

cnf(c_0_13,negated_conjecture,
    ~ p_1_2(a,a),
    c_0_9 ).

cnf(c_0_14,plain,
    ( ~ nq_1(X1)
    | ~ nq_2(X2)
    | p_1_2(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_15,axiom,
    nq_2(a),
    n_3 ).

cnf(c_0_16,axiom,
    nq_1(a),
    n_1 ).

cnf(c_0_17,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.40  % Computer : n010.cluster.edu
% 0.16/0.40  % Model    : x86_64 x86_64
% 0.16/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40  % Memory   : 8046.5625MB
% 0.16/0.40  % OS       : Linux 6.8.0-71-generic
% 0.16/0.40  % CPULimit : 300
% 0.16/0.40  % WCLimit  : 300
% 0.16/0.40  % DateTime : Mon Sep 21 10:43:40 UTC 2026
% 0.16/0.40  % CPUTime  : 
% 0.16/0.40  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.46  Running first-order theorem proving
% 0.06/0.46  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
% 0.06/0.48  % Version: 3.5.1
% 0.06/0.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.06/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.06/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.06/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.06/0.48  % Starting sh5l with 300s (1) cores
% 0.06/0.48  % new_bool_1 with pid 694069 completed with status 0
% 0.06/0.48  % Result found by new_bool_1
% 0.06/0.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.06/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.06/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.06/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.06/0.48  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.48  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.48  % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.06/0.48  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.48  % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.48  % SubtermCWHack with pid 694077 completed with status 0
% 0.06/0.48  % Result found by SubtermCWHack
% 0.06/0.48  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.06/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.06/0.48  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.06/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.06/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.06/0.48  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.06/0.48  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.06/0.48  % Search class: FHUNF-FFSF00-SFFFFFNN
% 0.06/0.48  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.06/0.48  % Starting SubtermCWHack with 31s (1) cores
% 0.06/0.48  % Preprocessing time       : 0.002 s
% 0.06/0.48  
% 0.06/0.48  % Proof found!
% 0.06/0.48  % SZS status Unsatisfiable
% 0.06/0.48  % SZS output start CNFRefutation
% See solution above
% 0.06/0.48  % Parsed axioms                        : 17
% 0.06/0.48  % Removed by relevancy pruning/SinE    : 2
% 0.06/0.48  % Initial clauses                      : 15
% 0.06/0.48  % Removed in clause preprocessing      : 0
% 0.06/0.48  % Initial clauses in saturation        : 15
% 0.06/0.48  % Processed clauses                    : 18
% 0.06/0.48  % ...of these trivial                  : 0
% 0.06/0.48  % ...subsumed                          : 0
% 0.06/0.48  % ...remaining for further processing  : 18
% 0.06/0.48  % Other redundant clauses eliminated   : 0
% 0.06/0.48  % Clauses deleted for lack of memory   : 0
% 0.06/0.48  % Backward-subsumed                    : 0
% 0.06/0.48  % Backward-rewritten                   : 0
% 0.06/0.48  % Generated clauses                    : 10
% 0.06/0.48  % ...of the previous two non-redundant : 6
% 0.06/0.48  % ...aggressively subsumed             : 0
% 0.06/0.48  % Contextual simplify-reflections      : 2
% 0.06/0.48  % Paramodulations                      : 10
% 0.06/0.48  % Factorizations                       : 0
% 0.06/0.48  % NegExts                              : 0
% 0.06/0.48  % Equation resolutions                 : 0
% 0.06/0.48  % Disequality decompositions           : 0
% 0.06/0.48  % Total rewrite steps                  : 2
% 0.06/0.48  % ...of those cached                   : 0
% 0.06/0.48  % Propositional unsat checks           : 0
% 0.06/0.48  %    Propositional check models        : 0
% 0.06/0.48  %    Propositional check unsatisfiable : 0
% 0.06/0.48  %    Propositional clauses             : 0
% 0.06/0.48  %    Propositional clauses after purity: 0
% 0.06/0.48  %    Propositional unsat core size     : 0
% 0.06/0.48  %    Propositional preprocessing time  : 0.000
% 0.06/0.48  %    Propositional encoding time       : 0.000
% 0.06/0.48  %    Propositional solver time         : 0.000
% 0.06/0.48  %    Success case prop preproc time    : 0.000
% 0.06/0.48  %    Success case prop encoding time   : 0.000
% 0.06/0.48  %    Success case prop solver time     : 0.000
% 0.06/0.48  % Current number of processed clauses  : 18
% 0.06/0.48  %    Positive orientable unit clauses  : 2
% 0.06/0.48  %    Positive unorientable unit clauses: 0
% 0.06/0.48  %    Negative unit clauses             : 1
% 0.06/0.48  %    Non-unit-clauses                  : 15
% 0.06/0.48  % Current number of unprocessed clauses: 3
% 0.06/0.48  % ...number of literals in the above   : 12
% 0.06/0.48  % Current number of archived formulas  : 0
% 0.06/0.48  % Current number of archived clauses   : 0
% 0.06/0.48  % Clause-clause subsumption calls (NU) : 28
% 0.06/0.48  % Rec. Clause-clause subsumption calls : 26
% 0.06/0.48  % Non-unit clause-clause subsumptions  : 2
% 0.06/0.48  % Unit Clause-clause subsumption calls : 0
% 0.06/0.48  % Rewrite failures with RHS unbound    : 0
% 0.06/0.48  % BW rewrite match attempts            : 0
% 0.06/0.48  % BW rewrite match successes           : 0
% 0.06/0.48  % Condensation attempts                : 0
% 0.06/0.48  % Condensation successes               : 0
% 0.06/0.48  % Termbank termtop insertions          : 543
% 0.06/0.48  % Search garbage collected termcells   : 37
% 0.06/0.48  
% 0.06/0.48  % -------------------------------------------------
% 0.06/0.48  % User time                : 0.005 s
% 0.06/0.48  % System time              : 0.001 s
% 0.06/0.48  % Total time               : 0.006 s
% 0.06/0.48  % Maximum resident set size: 3636 pages
% 0.06/0.48  
% 0.06/0.48  % -------------------------------------------------
% 0.06/0.48  % User time                : 0.006 s
% 0.06/0.48  % System time              : 0.005 s
% 0.06/0.48  % Total time               : 0.011 s
% 0.06/0.48  % Maximum resident set size: 4608 pages
% 0.06/0.48  % E exiting
%------------------------------------------------------------------------------