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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n001.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 11:47:25 AM UTC 2026

% Result   : Theorem 0.15s 0.95s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   47 (  27 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   85 (  38   ~;  34   |;   9   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-1 aty)
%            Number of variables   :   59 (   4 sgn  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(rdn_positive_less_transitivity,axiom,
    ! [X7,X8,X9] :
      ( ( rdn_positive_less(rdnn(X8),rdnn(X9))
        & rdn_positive_less(rdnn(X7),rdnn(X8)) )
     => rdn_positive_less(rdnn(X7),rdnn(X9)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less_transitivity) ).

fof(rdn_positive_less45,axiom,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less45) ).

fof(less_entry_point_pos_pos,axiom,
    ! [X7,X8,X16,X17] :
      ( ( rdn_positive_less(X16,X17)
        & rdn_translate(X8,rdn_pos(X17))
        & rdn_translate(X7,rdn_pos(X16)) )
     => less(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_entry_point_pos_pos) ).

fof(rdn_positive_less56,axiom,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less56) ).

fof(rdn_positive_less34,axiom,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',rdn_positive_less34) ).

fof(rdn6,axiom,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn6) ).

fof(a1_2,axiom,
    ! [X1,X3,X5] :
      ( ( less(X5,X3)
        & accept_number(X1,X3) )
     => accept_number(X1,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).

fof(rdn3,axiom,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+0.ax',rdn3) ).

fof(a1_1,axiom,
    ! [X1,X2,X3,X4] :
      ( accept_team(X1,X4,X2,X3)
    <=> ( accept_number(X1,X3)
        & accept_leader(X1,X4)
        & accept_city(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(query_5,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_5) ).

fof(event_93,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_93) ).

fof(event_140,axiom,
    accept_number(christiansufferterrahumanitarianorganization,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_140) ).

fof(event_26,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_26) ).

fof(c_0_13,plain,
    ! [X21,X22,X23] :
      ( rdn_positive_less(rdnn(X21),rdnn(X23))
      | ~ rdn_positive_less(rdnn(X22),rdnn(X23))
      | ~ rdn_positive_less(rdnn(X21),rdnn(X22)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdn_positive_less_transitivity])])]) ).

cnf(c_0_14,plain,
    ( ~ rdn_positive_less(rdnn(X2),rdnn(X3))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X2))
    | rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_15,plain,
    rdn_positive_less(rdnn(n4),rdnn(n5)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less45]) ).

fof(c_0_16,plain,
    ! [X34,X35,X36,X37] :
      ( less(X34,X35)
      | ~ rdn_positive_less(X36,X37)
      | ~ rdn_translate(X35,rdn_pos(X37))
      | ~ rdn_translate(X34,rdn_pos(X36)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[less_entry_point_pos_pos])])]) ).

cnf(c_0_17,plain,
    rdn_positive_less(rdnn(n5),rdnn(n6)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less56]) ).

cnf(c_0_18,plain,
    ( ~ rdn_positive_less(rdnn(X1),rdnn(n4))
    | rdn_positive_less(rdnn(X1),rdnn(n5)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    inference(split_conjunct,[status(thm)],[rdn_positive_less34]) ).

cnf(c_0_20,plain,
    ( ~ rdn_positive_less(X2,X4)
    | ~ rdn_translate(X3,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X2))
    | less(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,plain,
    rdn_translate(n6,rdn_pos(rdnn(n6))),
    inference(split_conjunct,[status(thm)],[rdn6]) ).

cnf(c_0_22,plain,
    ( ~ rdn_positive_less(rdnn(X1),rdnn(n5))
    | rdn_positive_less(rdnn(X1),rdnn(n6)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_17]) ).

cnf(c_0_23,plain,
    rdn_positive_less(rdnn(n3),rdnn(n5)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_24,plain,
    ! [X18,X19,X20] :
      ( accept_number(X18,X20)
      | ~ less(X20,X19)
      | ~ accept_number(X18,X19) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_2])])]) ).

cnf(c_0_25,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdnn(n6))
    | less(X1,n6) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_26,plain,
    rdn_translate(n3,rdn_pos(rdnn(n3))),
    inference(split_conjunct,[status(thm)],[rdn3]) ).

cnf(c_0_27,plain,
    rdn_positive_less(rdnn(n3),rdnn(n6)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_28,plain,
    ! [X64,X65,X66,X67] :
      ( ( accept_team(X64,X67,X65,X66)
        | ~ accept_number(X64,X66)
        | ~ accept_leader(X64,X67)
        | ~ accept_city(X64,X65) )
      & ( ~ accept_team(X64,X67,X65,X66)
        | accept_number(X64,X66) )
      & ( ~ accept_team(X64,X67,X65,X66)
        | accept_leader(X64,X67) )
      & ( ~ accept_team(X64,X67,X65,X66)
        | accept_city(X64,X65) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_1])])])]) ).

cnf(c_0_29,plain,
    ( ~ less(X3,X2)
    | ~ accept_number(X1,X2)
    | accept_number(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    less(n3,n6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

fof(c_0_31,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(assume_negation,[status(cth)],[query_5]) ).

cnf(c_0_32,plain,
    ( ~ accept_number(X1,X4)
    | ~ accept_leader(X1,X3)
    | ~ accept_city(X1,X2)
    | accept_team(X1,X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( ~ accept_number(X1,n6)
    | accept_number(X1,n3) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,plain,
    ( ~ accept_team(X1,X2,X3,X4)
    | accept_leader(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(split_conjunct,[status(thm)],[event_93]) ).

fof(c_0_36,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

cnf(c_0_37,plain,
    ( ~ accept_city(X1,X3)
    | ~ accept_leader(X1,X2)
    | ~ accept_number(X1,n6)
    | accept_team(X1,X2,X3,n3) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_39,plain,
    accept_number(christiansufferterrahumanitarianorganization,n6),
    inference(split_conjunct,[status(thm)],[event_140]) ).

cnf(c_0_40,plain,
    ( ~ accept_team(X1,X3,X2,X4)
    | accept_city(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_41,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(split_conjunct,[status(thm)],[event_26]) ).

fof(c_0_42,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(fof_nnf,[status(thm)],[c_0_36]) ).

cnf(c_0_43,plain,
    ( ~ accept_city(christiansufferterrahumanitarianorganization,X1)
    | accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,X1,n3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_44,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_46,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.56  % Computer : n001.cluster.edu
% 0.11/0.56  % Model    : x86_64 x86_64
% 0.11/0.56  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56  % Memory   : 8046.5625MB
% 0.11/0.56  % OS       : Linux 6.8.0-71-generic
% 0.11/0.56  % CPULimit : 300
% 0.11/0.56  % WCLimit  : 300
% 0.11/0.56  % DateTime : Mon Sep 21 12:53:45 UTC 2026
% 0.11/0.57  % CPUTime  : 
% 0.11/0.57  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.60  Running first-order theorem proving
% 0.15/0.60  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
% 0.15/0.95  % Version: 3.5.1
% 0.15/0.95  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.95  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.95  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.95  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.95  % Starting new_bool_1 with 600s (2) cores
% 0.15/0.95  % Starting sh5l with 300s (1) cores
% 0.15/0.95  % new_bool_3 with pid 3157327 completed with status 9
% 0.15/0.95  % new_bool_1 with pid 3157328 completed with status 9
% 0.15/0.95  % sh5l with pid 3157329 completed with status 0
% 0.15/0.95  % Result found by sh5l
% 0.15/0.95  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.95  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.95  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.95  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.95  % Starting new_bool_1 with 600s (2) cores
% 0.15/0.95  % Starting sh5l with 300s (1) cores
% 0.15/0.95  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.95  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.95  % Search class: FGHSF-FFLM21-SFFFFFNN
% 0.15/0.95  % partial match(1): FGHSF-FFMM21-SFFFFFNN
% 0.15/0.95  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.95  % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.95  % SubtermCWHack with pid 3157334 completed with status 0
% 0.15/0.95  % Result found by SubtermCWHack
% 0.15/0.95  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.15/0.95  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.95  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.15/0.95  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.95  % Starting new_bool_1 with 600s (2) cores
% 0.15/0.95  % Starting sh5l with 300s (1) cores
% 0.15/0.95  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.95  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.95  % Search class: FGHSF-FFLM21-SFFFFFNN
% 0.15/0.95  % partial match(1): FGHSF-FFMM21-SFFFFFNN
% 0.15/0.95  % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.95  % Starting SubtermCWHack with 28s (1) cores
% 0.15/0.95  % Preprocessing time       : 0.004 s
% 0.15/0.95  
% 0.15/0.95  % Proof found!
% 0.15/0.95  % SZS status Theorem
% 0.15/0.95  % SZS output start CNFRefutation
% See solution above
% 0.15/0.95  % Parsed axioms                        : 556
% 0.15/0.95  % Removed by relevancy pruning/SinE    : 259
% 0.15/0.95  % Initial clauses                      : 310
% 0.15/0.95  % Removed in clause preprocessing      : 0
% 0.15/0.95  % Initial clauses in saturation        : 310
% 0.15/0.95  % Processed clauses                    : 3936
% 0.15/0.95  % ...of these trivial                  : 495
% 0.15/0.95  % ...subsumed                          : 368
% 0.15/0.95  % ...remaining for further processing  : 3073
% 0.15/0.95  % Other redundant clauses eliminated   : 2
% 0.15/0.95  % Clauses deleted for lack of memory   : 0
% 0.15/0.95  % Backward-subsumed                    : 73
% 0.15/0.95  % Backward-rewritten                   : 36
% 0.15/0.95  % Generated clauses                    : 19160
% 0.15/0.95  % ...of the previous two non-redundant : 8376
% 0.15/0.95  % ...aggressively subsumed             : 0
% 0.15/0.95  % Contextual simplify-reflections      : 0
% 0.15/0.95  % Paramodulations                      : 19156
% 0.15/0.95  % Factorizations                       : 2
% 0.15/0.95  % NegExts                              : 0
% 0.15/0.95  % Equation resolutions                 : 2
% 0.15/0.95  % Disequality decompositions           : 0
% 0.15/0.95  % Total rewrite steps                  : 16965
% 0.15/0.95  % ...of those cached                   : 16199
% 0.15/0.95  % Propositional unsat checks           : 0
% 0.15/0.95  %    Propositional check models        : 0
% 0.15/0.95  %    Propositional check unsatisfiable : 0
% 0.15/0.95  %    Propositional clauses             : 0
% 0.15/0.95  %    Propositional clauses after purity: 0
% 0.15/0.95  %    Propositional unsat core size     : 0
% 0.15/0.95  %    Propositional preprocessing time  : 0.000
% 0.15/0.95  %    Propositional encoding time       : 0.000
% 0.15/0.95  %    Propositional solver time         : 0.000
% 0.15/0.95  %    Success case prop preproc time    : 0.000
% 0.15/0.95  %    Success case prop encoding time   : 0.000
% 0.15/0.95  %    Success case prop solver time     : 0.000
% 0.15/0.95  % Current number of processed clauses  : 2962
% 0.15/0.95  %    Positive orientable unit clauses  : 1847
% 0.15/0.95  %    Positive unorientable unit clauses: 0
% 0.15/0.95  %    Negative unit clauses             : 121
% 0.15/0.95  %    Non-unit-clauses                  : 994
% 0.15/0.95  % Current number of unprocessed clauses: 4715
% 0.15/0.95  % ...number of literals in the above   : 18045
% 0.15/0.95  % Current number of archived formulas  : 0
% 0.15/0.95  % Current number of archived clauses   : 109
% 0.15/0.95  % Clause-clause subsumption calls (NU) : 84592
% 0.15/0.95  % Rec. Clause-clause subsumption calls : 70637
% 0.15/0.95  % Non-unit clause-clause subsumptions  : 355
% 0.15/0.95  % Unit Clause-clause subsumption calls : 27083
% 0.15/0.95  % Rewrite failures with RHS unbound    : 0
% 0.15/0.95  % BW rewrite match attempts            : 19295
% 0.15/0.95  % BW rewrite match successes           : 48
% 0.15/0.95  % Condensation attempts                : 0
% 0.15/0.95  % Condensation successes               : 0
% 0.15/0.95  % Termbank termtop insertions          : 213220
% 0.15/0.95  % Search garbage collected termcells   : 1736
% 0.15/0.95  
% 0.15/0.95  % -------------------------------------------------
% 0.15/0.95  % User time                : 0.292 s
% 0.15/0.95  % System time              : 0.021 s
% 0.15/0.95  % Total time               : 0.313 s
% 0.15/0.95  % Maximum resident set size: 4852 pages
% 0.15/0.95  
% 0.15/0.95  % -------------------------------------------------
% 0.15/0.95  % User time                : 0.643 s
% 0.15/0.95  % System time              : 0.119 s
% 0.15/0.95  % Total time               : 0.763 s
% 0.15/0.95  % Maximum resident set size: 5120 pages
% 0.15/0.95  % E exiting
%------------------------------------------------------------------------------