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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 03:23:30 PM UTC 2026

% Result   : Unsatisfiable 0.16s 0.69s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   22 (  14 unt;   0 nHn;  22 RR)
%            Number of literals    :   40 (   0 equ;  22 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_063,axiom,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_063) ).

cnf(rule_071,axiom,
    ( ~ s0(b)
    | ~ p1(X2,X4,X1)
    | ~ l0(X3)
    | p1(X1,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_071) ).

cnf(axiom_26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_26) ).

cnf(axiom_5,axiom,
    s0(b),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_5) ).

cnf(axiom_28,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_28) ).

cnf(prove_this,negated_conjecture,
    ~ p1(e,c,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

cnf(axiom_20,axiom,
    l0(a),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_20) ).

cnf(c_0_7,plain,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    inference(fof_simplification,[status(thm)],[rule_063]) ).

cnf(c_0_8,plain,
    ( ~ s0(b)
    | ~ p1(X2,X4,X1)
    | ~ l0(X3)
    | p1(X1,X2,X1) ),
    inference(fof_simplification,[status(thm)],[rule_071]) ).

cnf(c_0_9,plain,
    ( ~ k0(X2)
    | ~ n0(d,X1)
    | p1(X1,X1,X2) ),
    c_0_7 ).

cnf(c_0_10,axiom,
    n0(d,c),
    axiom_26 ).

cnf(c_0_11,plain,
    ( ~ s0(b)
    | ~ p1(X2,X4,X1)
    | ~ l0(X3)
    | p1(X1,X2,X1) ),
    c_0_8 ).

cnf(c_0_12,axiom,
    s0(b),
    axiom_5 ).

cnf(c_0_13,plain,
    ( ~ k0(X1)
    | p1(c,c,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,axiom,
    k0(e),
    axiom_28 ).

cnf(c_0_15,negated_conjecture,
    ~ p1(e,c,e),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_16,plain,
    ( ~ l0(X4)
    | ~ p1(X2,X3,X1)
    | p1(X1,X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

cnf(c_0_17,plain,
    p1(c,c,e),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ p1(e,c,e),
    c_0_15 ).

cnf(c_0_19,axiom,
    l0(a),
    axiom_20 ).

cnf(c_0_20,plain,
    ~ l0(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[c_0_19,c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN264-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.59  % Computer : n008.cluster.edu
% 0.12/0.59  % Model    : x86_64 x86_64
% 0.12/0.59  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.59  % Memory   : 8046.5625MB
% 0.12/0.59  % OS       : Linux 6.8.0-71-generic
% 0.12/0.59  % CPULimit : 300
% 0.12/0.59  % WCLimit  : 300
% 0.12/0.59  % DateTime : Mon Sep 21 10:48:25 UTC 2026
% 0.12/0.59  % CPUTime  : 
% 0.12/0.60  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.64  Running first-order theorem proving
% 0.16/0.64  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
% 0.16/0.69  % Version: 3.5.1
% 0.16/0.69  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.69  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.69  % Starting new_bool_1 with 300s (1) cores
% 0.16/0.69  % Starting sh5l with 300s (1) cores
% 0.16/0.69  % new_bool_3 with pid 796977 completed with status 0
% 0.16/0.69  % Result found by new_bool_3
% 0.16/0.69  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.69  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.69  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.69  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.69  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.16/0.69  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.69  % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.69  % SubtermCWHack with pid 796983 completed with status 0
% 0.16/0.69  % Result found by SubtermCWHack
% 0.16/0.69  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.69  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.69  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.69  % Starting new_bool_3 with 300s (1) cores
% 0.16/0.69  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.16/0.69  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.69  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.16/0.69  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.69  % Starting SubtermCWHack with 31s (1) cores
% 0.16/0.69  % Preprocessing time       : 0.003 s
% 0.16/0.69  
% 0.16/0.69  % Proof found!
% 0.16/0.69  % SZS status Unsatisfiable
% 0.16/0.69  % SZS output start CNFRefutation
% See solution above
% 0.16/0.69  % Parsed axioms                        : 369
% 0.16/0.69  % Removed by relevancy pruning/SinE    : 160
% 0.16/0.69  % Initial clauses                      : 209
% 0.16/0.69  % Removed in clause preprocessing      : 5
% 0.16/0.69  % Initial clauses in saturation        : 204
% 0.16/0.69  % Processed clauses                    : 382
% 0.16/0.69  % ...of these trivial                  : 45
% 0.16/0.69  % ...subsumed                          : 10
% 0.16/0.69  % ...remaining for further processing  : 327
% 0.16/0.69  % Other redundant clauses eliminated   : 0
% 0.16/0.69  % Clauses deleted for lack of memory   : 0
% 0.16/0.69  % Backward-subsumed                    : 38
% 0.16/0.69  % Backward-rewritten                   : 98
% 0.16/0.69  % Generated clauses                    : 411
% 0.16/0.69  % ...of the previous two non-redundant : 261
% 0.16/0.69  % ...aggressively subsumed             : 0
% 0.16/0.69  % Contextual simplify-reflections      : 1
% 0.16/0.69  % Paramodulations                      : 409
% 0.16/0.69  % Factorizations                       : 0
% 0.16/0.69  % NegExts                              : 0
% 0.16/0.69  % Equation resolutions                 : 0
% 0.16/0.69  % Disequality decompositions           : 0
% 0.16/0.69  % Total rewrite steps                  : 365
% 0.16/0.69  % ...of those cached                   : 218
% 0.16/0.69  % Propositional unsat checks           : 0
% 0.16/0.69  %    Propositional check models        : 0
% 0.16/0.69  %    Propositional check unsatisfiable : 0
% 0.16/0.69  %    Propositional clauses             : 0
% 0.16/0.69  %    Propositional clauses after purity: 0
% 0.16/0.69  %    Propositional unsat core size     : 0
% 0.16/0.69  %    Propositional preprocessing time  : 0.000
% 0.16/0.69  %    Propositional encoding time       : 0.000
% 0.16/0.69  %    Propositional solver time         : 0.000
% 0.16/0.69  %    Success case prop preproc time    : 0.000
% 0.16/0.69  %    Success case prop encoding time   : 0.000
% 0.16/0.69  %    Success case prop solver time     : 0.000
% 0.16/0.69  % Current number of processed clauses  : 189
% 0.16/0.69  %    Positive orientable unit clauses  : 108
% 0.16/0.69  %    Positive unorientable unit clauses: 0
% 0.16/0.69  %    Negative unit clauses             : 2
% 0.16/0.69  %    Non-unit-clauses                  : 79
% 0.16/0.69  % Current number of unprocessed clauses: 43
% 0.16/0.69  % ...number of literals in the above   : 153
% 0.16/0.69  % Current number of archived formulas  : 0
% 0.16/0.69  % Current number of archived clauses   : 138
% 0.16/0.69  % Clause-clause subsumption calls (NU) : 3592
% 0.16/0.69  % Rec. Clause-clause subsumption calls : 3175
% 0.16/0.69  % Non-unit clause-clause subsumptions  : 36
% 0.16/0.69  % Unit Clause-clause subsumption calls : 340
% 0.16/0.69  % Rewrite failures with RHS unbound    : 0
% 0.16/0.69  % BW rewrite match attempts            : 204
% 0.16/0.69  % BW rewrite match successes           : 85
% 0.16/0.69  % Condensation attempts                : 0
% 0.16/0.69  % Condensation successes               : 0
% 0.16/0.69  % Termbank termtop insertions          : 12201
% 0.16/0.69  % Search garbage collected termcells   : 1643
% 0.16/0.69  
% 0.16/0.69  % -------------------------------------------------
% 0.16/0.69  % User time                : 0.023 s
% 0.16/0.69  % System time              : 0.004 s
% 0.16/0.69  % Total time               : 0.027 s
% 0.16/0.69  % Maximum resident set size: 4216 pages
% 0.16/0.69  
% 0.16/0.69  % -------------------------------------------------
% 0.16/0.69  % User time                : 0.028 s
% 0.16/0.69  % System time              : 0.008 s
% 0.16/0.69  % Total time               : 0.035 s
% 0.16/0.69  % Maximum resident set size: 4864 pages
% 0.16/0.69  % E exiting
%------------------------------------------------------------------------------