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E---3.5.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : LCL230-1 : 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 : n019.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 01:12:12 PM UTC 2026

% Result   : Unsatisfiable 0.74s 0.55s
% Output   : CNFRefutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   31 (  16 unt;   0 nHn;  17 RR)
%            Number of literals    :   52 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   65 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_3,axiom,
    ( ~ theorem(or(not(X3),X2))
    | ~ axiom(or(not(X1),X3))
    | theorem(or(not(X1),X2)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_3) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X1),or(X2,X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(rule_1,axiom,
    ( ~ axiom(X1)
    | theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(rule_2,axiom,
    ( ~ theorem(X2)
    | ~ axiom(or(not(X2),X1))
    | theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(axiom_1_6,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_6) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_8,plain,
    ( ~ theorem(or(not(X3),X2))
    | ~ axiom(or(not(X1),X3))
    | theorem(or(not(X1),X2)) ),
    inference(fof_simplification,[status(thm)],[rule_3]) ).

cnf(c_0_9,plain,
    ( ~ theorem(or(not(X3),X2))
    | ~ axiom(or(not(X1),X3))
    | theorem(or(not(X1),X2)) ),
    c_0_8 ).

cnf(c_0_10,axiom,
    axiom(or(not(X1),or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_11,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    inference(fof_simplification,[status(thm)],[rule_1]) ).

cnf(c_0_12,plain,
    ( ~ theorem(X2)
    | ~ axiom(or(not(X2),X1))
    | theorem(X1) ),
    inference(fof_simplification,[status(thm)],[rule_2]) ).

cnf(c_0_13,plain,
    ( ~ theorem(or(not(or(X3,X1)),X2))
    | theorem(or(not(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ axiom(X1)
    | theorem(X1) ),
    c_0_11 ).

cnf(c_0_15,plain,
    ( ~ theorem(X2)
    | ~ axiom(or(not(X2),X1))
    | theorem(X1) ),
    c_0_12 ).

cnf(c_0_16,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_17,plain,
    ( ~ axiom(or(not(or(X3,X1)),X2))
    | theorem(or(not(X1),X2)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    axiom_1_2 ).

cnf(c_0_19,plain,
    ( ~ theorem(or(X2,or(X1,X3)))
    | theorem(or(X1,or(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
    axiom_1_6 ).

cnf(c_0_22,plain,
    theorem(or(X1,or(not(or(X1,X2)),X2))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    ~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_24,plain,
    ( ~ theorem(or(not(or(X2,or(X1,X3))),X4))
    | theorem(or(not(or(X1,or(X2,X3))),X4)) ),
    inference(spm,[status(thm)],[c_0_9,c_0_16]) ).

cnf(c_0_25,plain,
    ( ~ theorem(or(not(X2),X3))
    | theorem(or(not(or(X1,X2)),or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_26,plain,
    theorem(or(not(X1),or(not(or(not(or(X2,X1)),X3)),X3))),
    inference(spm,[status(thm)],[c_0_13,c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    ~ theorem(or(not(or(not(or(p,q)),or(p,r))),or(p,or(not(q),r)))),
    c_0_23 ).

cnf(c_0_28,plain,
    ( ~ theorem(or(not(or(X1,X3)),X4))
    | theorem(or(not(or(X1,or(X2,X3))),or(X2,X4))) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_29,plain,
    theorem(or(not(or(not(or(X1,X2)),X3)),or(not(X2),X3))),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL230-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.35  % Computer : n019.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Mon Sep 21 00:13:51 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39  Running first-order theorem proving
% 0.12/0.39  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
% 0.74/0.55  % Version: 3.5.1
% 0.74/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.74/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.74/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.74/0.55  % Starting new_bool_1 with 300s (1) cores
% 0.74/0.55  % Starting sh5l with 300s (1) cores
% 0.74/0.55  % new_bool_1 with pid 1287170 completed with status 0
% 0.74/0.55  % Result found by new_bool_1
% 0.74/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.74/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.74/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.74/0.55  % Starting new_bool_1 with 300s (1) cores
% 0.74/0.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.74/0.55  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.74/0.55  % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.74/0.55  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.74/0.55  % Starting SubtermCWHack with 31s (1) cores
% 0.74/0.55  % SubtermCWHack with pid 1287176 completed with status 0
% 0.74/0.55  % Result found by SubtermCWHack
% 0.74/0.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.74/0.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.74/0.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.74/0.55  % Starting new_bool_3 with 300s (1) cores
% 0.74/0.55  % Starting new_bool_1 with 300s (1) cores
% 0.74/0.55  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.74/0.55  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.74/0.55  % Search class: FHUNM-FFSF21-MFFFFFNN
% 0.74/0.55  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.74/0.55  % Starting SubtermCWHack with 31s (1) cores
% 0.74/0.55  % Preprocessing time       : 0.001 s
% 0.74/0.55  
% 0.74/0.55  % Proof found!
% 0.74/0.55  % SZS status Unsatisfiable
% 0.74/0.55  % SZS output start CNFRefutation
% See solution above
% 0.74/0.55  % Parsed axioms                        : 9
% 0.74/0.55  % Removed by relevancy pruning/SinE    : 0
% 0.74/0.55  % Initial clauses                      : 9
% 0.74/0.55  % Removed in clause preprocessing      : 0
% 0.74/0.55  % Initial clauses in saturation        : 9
% 0.74/0.55  % Processed clauses                    : 1490
% 0.74/0.55  % ...of these trivial                  : 185
% 0.74/0.55  % ...subsumed                          : 358
% 0.74/0.55  % ...remaining for further processing  : 946
% 0.74/0.55  % Other redundant clauses eliminated   : 0
% 0.74/0.55  % Clauses deleted for lack of memory   : 0
% 0.74/0.55  % Backward-subsumed                    : 1
% 0.74/0.55  % Backward-rewritten                   : 0
% 0.74/0.55  % Generated clauses                    : 8315
% 0.74/0.55  % ...of the previous two non-redundant : 4335
% 0.74/0.55  % ...aggressively subsumed             : 0
% 0.74/0.55  % Contextual simplify-reflections      : 0
% 0.74/0.55  % Paramodulations                      : 8315
% 0.74/0.55  % Factorizations                       : 0
% 0.74/0.55  % NegExts                              : 0
% 0.74/0.55  % Equation resolutions                 : 0
% 0.74/0.55  % Disequality decompositions           : 0
% 0.74/0.55  % Total rewrite steps                  : 4156
% 0.74/0.55  % ...of those cached                   : 2358
% 0.74/0.55  % Propositional unsat checks           : 0
% 0.74/0.55  %    Propositional check models        : 0
% 0.74/0.55  %    Propositional check unsatisfiable : 0
% 0.74/0.55  %    Propositional clauses             : 0
% 0.74/0.55  %    Propositional clauses after purity: 0
% 0.74/0.55  %    Propositional unsat core size     : 0
% 0.74/0.55  %    Propositional preprocessing time  : 0.000
% 0.74/0.55  %    Propositional encoding time       : 0.000
% 0.74/0.55  %    Propositional solver time         : 0.000
% 0.74/0.55  %    Success case prop preproc time    : 0.000
% 0.74/0.55  %    Success case prop encoding time   : 0.000
% 0.74/0.55  %    Success case prop solver time     : 0.000
% 0.74/0.55  % Current number of processed clauses  : 945
% 0.74/0.55  %    Positive orientable unit clauses  : 785
% 0.74/0.55  %    Positive unorientable unit clauses: 0
% 0.74/0.55  %    Negative unit clauses             : 40
% 0.74/0.55  %    Non-unit-clauses                  : 120
% 0.74/0.55  % Current number of unprocessed clauses: 2848
% 0.74/0.55  % ...number of literals in the above   : 3307
% 0.74/0.55  % Current number of archived formulas  : 0
% 0.74/0.55  % Current number of archived clauses   : 1
% 0.74/0.55  % Clause-clause subsumption calls (NU) : 6708
% 0.74/0.55  % Rec. Clause-clause subsumption calls : 6708
% 0.74/0.55  % Non-unit clause-clause subsumptions  : 323
% 0.74/0.55  % Unit Clause-clause subsumption calls : 664
% 0.74/0.55  % Rewrite failures with RHS unbound    : 0
% 0.74/0.55  % BW rewrite match attempts            : 112362
% 0.74/0.55  % BW rewrite match successes           : 0
% 0.74/0.55  % Condensation attempts                : 0
% 0.74/0.55  % Condensation successes               : 0
% 0.74/0.55  % Termbank termtop insertions          : 104725
% 0.74/0.55  % Search garbage collected termcells   : 17
% 0.74/0.55  
% 0.74/0.55  % -------------------------------------------------
% 0.74/0.55  % User time                : 0.132 s
% 0.74/0.55  % System time              : 0.013 s
% 0.74/0.55  % Total time               : 0.146 s
% 0.74/0.55  % Maximum resident set size: 3644 pages
% 0.74/0.55  
% 0.74/0.55  % -------------------------------------------------
% 0.74/0.55  % User time                : 0.133 s
% 0.74/0.55  % System time              : 0.019 s
% 0.74/0.55  % Total time               : 0.152 s
% 0.74/0.55  % Maximum resident set size: 4864 pages
% 0.74/0.55  % E exiting
%------------------------------------------------------------------------------