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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SYN218-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 03:23:24 PM UTC 2026

% Result   : Unsatisfiable 0.12s 0.48s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   24 (  13 unt;   0 nHn;  18 RR)
%            Number of literals    :   45 (   0 equ;  25 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    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   39 (  21 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_126,axiom,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_126) ).

cnf(rule_125,axiom,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_125) ).

cnf(axiom_17,axiom,
    q0(X1,d),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_17) ).

cnf(axiom_14,axiom,
    p0(b,X1),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

cnf(rule_133,axiom,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',rule_133) ).

cnf(prove_this,negated_conjecture,
    ~ l2(c,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(axiom_27,axiom,
    m0(e,b,c),
    file('/export/starexec/sandbox/benchmark/Axioms/SYN001-0.ax',axiom_27) ).

cnf(c_0_7,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_126]) ).

cnf(c_0_8,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    inference(fof_simplification,[status(thm)],[rule_125]) ).

cnf(c_0_9,plain,
    ( ~ s1(X3)
    | ~ q0(X1,X2)
    | s1(X1) ),
    c_0_7 ).

cnf(c_0_10,axiom,
    q0(X1,d),
    axiom_17 ).

cnf(c_0_11,plain,
    ( ~ p0(X1,X1)
    | s1(X1) ),
    c_0_8 ).

cnf(c_0_12,axiom,
    p0(b,X1),
    axiom_14 ).

cnf(c_0_13,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(fof_simplification,[status(thm)],[rule_133]) ).

cnf(c_0_14,plain,
    ( ~ s1(X2)
    | s1(X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    s1(b),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    ( ~ m0(X4,X3,X1)
    | ~ s1(X3)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    c_0_13 ).

cnf(c_0_17,plain,
    s1(X1),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    ~ l2(c,X1),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_19,plain,
    ( ~ m0(X3,X4,X1)
    | ~ p0(X2,X2)
    | l2(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_20,axiom,
    m0(e,b,c),
    axiom_27 ).

cnf(c_0_21,negated_conjecture,
    ~ l2(c,X1),
    c_0_18 ).

cnf(c_0_22,plain,
    ~ p0(X1,X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_23,plain,
    $false,
    inference(spm,[status(thm)],[c_0_22,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN218-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n014.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Mon Sep 21 10:46:04 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  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
% 0.12/0.48  % Version: 3.5.1
% 0.12/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.48  % Starting sh5l with 300s (1) cores
% 0.12/0.48  % new_bool_1 with pid 3872454 completed with status 0
% 0.12/0.48  % Result found by new_bool_1
% 0.12/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.48  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.48  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.48  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.48  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.48  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.48  % SubtermCWHack with pid 3872459 completed with status 0
% 0.12/0.48  % Result found by SubtermCWHack
% 0.12/0.48  % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.12/0.48  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.48  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.12/0.48  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.48  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.48  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.12/0.48  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.12/0.48  % Search class: FHUNM-FSLM00-SFFFFFNN
% 0.12/0.48  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.48  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.48  % Preprocessing time       : 0.003 s
% 0.12/0.48  
% 0.12/0.48  % Proof found!
% 0.12/0.48  % SZS status Unsatisfiable
% 0.12/0.48  % SZS output start CNFRefutation
% See solution above
% 0.12/0.48  % Parsed axioms                        : 369
% 0.12/0.48  % Removed by relevancy pruning/SinE    : 55
% 0.12/0.48  % Initial clauses                      : 314
% 0.12/0.48  % Removed in clause preprocessing      : 5
% 0.12/0.48  % Initial clauses in saturation        : 309
% 0.12/0.48  % Processed clauses                    : 518
% 0.12/0.48  % ...of these trivial                  : 82
% 0.12/0.48  % ...subsumed                          : 8
% 0.12/0.48  % ...remaining for further processing  : 428
% 0.12/0.48  % Other redundant clauses eliminated   : 0
% 0.12/0.48  % Clauses deleted for lack of memory   : 0
% 0.12/0.48  % Backward-subsumed                    : 40
% 0.12/0.48  % Backward-rewritten                   : 149
% 0.12/0.48  % Generated clauses                    : 511
% 0.12/0.48  % ...of the previous two non-redundant : 346
% 0.12/0.48  % ...aggressively subsumed             : 0
% 0.12/0.48  % Contextual simplify-reflections      : 0
% 0.12/0.48  % Paramodulations                      : 511
% 0.12/0.48  % Factorizations                       : 0
% 0.12/0.48  % NegExts                              : 0
% 0.12/0.48  % Equation resolutions                 : 0
% 0.12/0.48  % Disequality decompositions           : 0
% 0.12/0.48  % Total rewrite steps                  : 516
% 0.12/0.48  % ...of those cached                   : 299
% 0.12/0.48  % Propositional unsat checks           : 0
% 0.12/0.48  %    Propositional check models        : 0
% 0.12/0.48  %    Propositional check unsatisfiable : 0
% 0.12/0.48  %    Propositional clauses             : 0
% 0.12/0.48  %    Propositional clauses after purity: 0
% 0.12/0.48  %    Propositional unsat core size     : 0
% 0.12/0.48  %    Propositional preprocessing time  : 0.000
% 0.12/0.48  %    Propositional encoding time       : 0.000
% 0.12/0.48  %    Propositional solver time         : 0.000
% 0.12/0.48  %    Success case prop preproc time    : 0.000
% 0.12/0.48  %    Success case prop encoding time   : 0.000
% 0.12/0.48  %    Success case prop solver time     : 0.000
% 0.12/0.48  % Current number of processed clauses  : 239
% 0.12/0.48  %    Positive orientable unit clauses  : 138
% 0.12/0.48  %    Positive unorientable unit clauses: 0
% 0.12/0.48  %    Negative unit clauses             : 2
% 0.12/0.48  %    Non-unit-clauses                  : 99
% 0.12/0.48  % Current number of unprocessed clauses: 90
% 0.12/0.48  % ...number of literals in the above   : 330
% 0.12/0.48  % Current number of archived formulas  : 0
% 0.12/0.48  % Current number of archived clauses   : 189
% 0.12/0.48  % Clause-clause subsumption calls (NU) : 4305
% 0.12/0.48  % Rec. Clause-clause subsumption calls : 3779
% 0.12/0.48  % Non-unit clause-clause subsumptions  : 30
% 0.12/0.48  % Unit Clause-clause subsumption calls : 493
% 0.12/0.48  % Rewrite failures with RHS unbound    : 0
% 0.12/0.48  % BW rewrite match attempts            : 219
% 0.12/0.48  % BW rewrite match successes           : 129
% 0.12/0.48  % Condensation attempts                : 0
% 0.12/0.48  % Condensation successes               : 0
% 0.12/0.48  % Termbank termtop insertions          : 16090
% 0.12/0.48  % Search garbage collected termcells   : 1533
% 0.12/0.48  
% 0.12/0.48  % -------------------------------------------------
% 0.12/0.48  % User time                : 0.021 s
% 0.12/0.48  % System time              : 0.003 s
% 0.12/0.48  % Total time               : 0.024 s
% 0.12/0.48  % Maximum resident set size: 4472 pages
% 0.12/0.48  
% 0.12/0.48  % -------------------------------------------------
% 0.12/0.48  % User time                : 0.026 s
% 0.12/0.48  % System time              : 0.010 s
% 0.12/0.48  % Total time               : 0.035 s
% 0.12/0.48  % Maximum resident set size: 5120 pages
% 0.12/0.48  % E exiting
%------------------------------------------------------------------------------