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Prover9---1109a.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Prover9---1109a
% Problem  : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_prover9 %d %s

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Apr 29 02:10:27 PM UTC 2026

% Result   : Theorem 0.44s 0.97s
% Output   : Refutation 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : MGT073+1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13  % Command  : tptp2X_and_run_prover9 %d %s
% 0.16/0.33  % Computer : n022.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Tue Apr 28 18:41:36 EDT 2026
% 0.16/0.33  % CPUTime  : 
% 0.44/0.96  ============================== Prover9 ===============================
% 0.44/0.96  Prover9 (32) version 2009-11A, November 2009.
% 0.44/0.96  Process 2695 was started by sandbox on n022.cluster.edu,
% 0.44/0.96  Tue Apr 28 18:41:36 2026
% 0.44/0.96  The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_2335_n022.cluster.edu".
% 0.44/0.96  ============================== end of head ===========================
% 0.44/0.96  
% 0.44/0.96  ============================== INPUT =================================
% 0.44/0.96  
% 0.44/0.96  % Reading from file /tmp/Prover9_2335_n022.cluster.edu
% 0.44/0.96  
% 0.44/0.96  set(prolog_style_variables).
% 0.44/0.96  set(auto2).
% 0.44/0.96      % set(auto2) -> set(auto).
% 0.44/0.96      % set(auto) -> set(auto_inference).
% 0.44/0.96      % set(auto) -> set(auto_setup).
% 0.44/0.96      % set(auto_setup) -> set(predicate_elim).
% 0.44/0.96      % set(auto_setup) -> assign(eq_defs, unfold).
% 0.44/0.96      % set(auto) -> set(auto_limits).
% 0.44/0.96      % set(auto_limits) -> assign(max_weight, "100.000").
% 0.44/0.96      % set(auto_limits) -> assign(sos_limit, 20000).
% 0.44/0.96      % set(auto) -> set(auto_denials).
% 0.44/0.96      % set(auto) -> set(auto_process).
% 0.44/0.96      % set(auto2) -> assign(new_constants, 1).
% 0.44/0.96      % set(auto2) -> assign(fold_denial_max, 3).
% 0.44/0.96      % set(auto2) -> assign(max_weight, "200.000").
% 0.44/0.96      % set(auto2) -> assign(max_hours, 1).
% 0.44/0.96      % assign(max_hours, 1) -> assign(max_seconds, 3600).
% 0.44/0.96      % set(auto2) -> assign(max_seconds, 0).
% 0.44/0.96      % set(auto2) -> assign(max_minutes, 5).
% 0.44/0.96      % assign(max_minutes, 5) -> assign(max_seconds, 300).
% 0.44/0.96      % set(auto2) -> set(sort_initial_sos).
% 0.44/0.96      % set(auto2) -> assign(sos_limit, -1).
% 0.44/0.96      % set(auto2) -> assign(lrs_ticks, 3000).
% 0.44/0.96      % set(auto2) -> assign(max_megs, 400).
% 0.44/0.96      % set(auto2) -> assign(stats, some).
% 0.44/0.96      % set(auto2) -> clear(echo_input).
% 0.44/0.96      % set(auto2) -> set(quiet).
% 0.44/0.96      % set(auto2) -> clear(print_initial_clauses).
% 0.44/0.96      % set(auto2) -> clear(print_given).
% 0.44/0.96  assign(lrs_ticks,-1).
% 0.44/0.96  assign(sos_limit,10000).
% 0.44/0.96  assign(order,kbo).
% 0.44/0.96  set(lex_order_vars).
% 0.44/0.96  clear(print_given).
% 0.44/0.96  
% 0.44/0.96  % formulas(sos).  % not echoed (40 formulas)
% 0.44/0.96  
% 0.44/0.96  ============================== end of input ==========================
% 0.44/0.96  
% 0.44/0.96  % From the command line: assign(max_seconds, 300).
% 0.44/0.96  
% 0.44/0.96  ============================== PROCESS NON-CLAUSAL FORMULAS ==========
% 0.44/0.96  
% 0.44/0.96  % Formulas that are not ordinary clauses:
% 0.44/0.96  1 (all X -less(X,X)) # label(irreflexive) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  2 (all X all Y all Z (less(X,Y) & less(Y,Z) -> less(X,Z))) # label(transitive) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  3 (all X all Y (less(X,Y) | X = Y | less(Y,X))) # label(trichotomy) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  4 (all X all Y (leq(X,Y) <-> less(X,Y) | X = Y)) # label(leq_def) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  5 (all X all Y (leq(X,Y) & leq(Y,X) -> X = Y)) # label(leq_antisym) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  6 (all X all Y (less(X,Y) -> leq(X,Y))) # label(less_implies_leq) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  7 (all X all Y all Z (leq(X,Y) & less(Y,Z) -> less(X,Z))) # label(leq_less_trans) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  8 (all X all Y all Z (less(X,Y) & leq(Y,Z) -> less(X,Z))) # label(less_leq_trans) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  9 (all X all Y all Z (leq(X,Y) & leq(Y,Z) -> leq(X,Z))) # label(leq_trans) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  10 (all X all A all B (in_closed(X,A,B) <-> leq(A,X) & leq(X,B))) # label(in_closed) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  11 (all X all A all B (in_lopen(X,A,B) <-> less(A,X) & leq(X,B))) # label(in_lopen) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  12 (all X all A all B (in_ropen(X,A,B) <-> leq(A,X) & less(X,B))) # label(in_ropen) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  13 (all X all A all B (in_open(X,A,B) <-> less(A,X) & less(X,B))) # label(in_open) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  14 (all I1lo all I1hi all I2lo all I2hi (axis_conflict(I1lo,I1hi,I2lo,I2hi) <-> -(exists X (in_closed(X,I1lo,I1hi) & in_closed(X,I2lo,I2hi))))) # label(axis_conflict_def) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  15 (all I1lo all I1hi all I2lo all I2hi (axis_compatible(I1lo,I1hi,I2lo,I2hi) <-> (exists X (in_closed(X,I1lo,I1hi) & in_closed(X,I2lo,I2hi))))) # label(axis_compatible_def) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  16 (all I1lo all I1hi all I2lo all I2hi (axis_subsumes(I1lo,I1hi,I2lo,I2hi) <-> (all X (in_closed(X,I1lo,I1hi) -> in_closed(X,I2lo,I2hi))))) # label(axis_subsumes_def) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  17 (all V (is_verdict(V) -> V = conflict | V = compatible | V = unknown)) # label(verdict_enum) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  18 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & (V1 = conflict | V2 = conflict) -> box_verdict(V1,V2) = conflict)) # label(box_conflict) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  19 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & V1 = compatible & V2 = compatible -> box_verdict(V1,V2) = compatible)) # label(box_compatible) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  20 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) & (V1 = unknown | V2 = unknown) & V1 != conflict & V2 != conflict -> box_verdict(V1,V2) = unknown)) # label(box_unknown) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  21 (all V1 all V2 (is_verdict(V1) & is_verdict(V2) -> box_verdict(V1,V2) = conflict | box_verdict(V1,V2) = compatible | box_verdict(V1,V2) = unknown)) # label(box_verdict_total) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  22 (all X1 all X2 all A1 all B1 all A2 all B2 (in_box2(X1,X2,A1,B1,A2,B2) <-> in_closed(X1,A1,B1) & in_closed(X2,A2,B2))) # label(in_box2) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  23 (all X1 all X2 all X3 all A1 all B1 all A2 all B2 all A3 all B3 (in_box3(X1,X2,X3,A1,B1,A2,B2,A3,B3) <-> in_closed(X1,A1,B1) & in_closed(X2,A2,B2) & in_closed(X3,A3,B3))) # label(in_box3) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  24 (all A1 all B1 all A2 all B2 all C1 all D1 all C2 all D2 (box2_compatible(A1,B1,A2,B2,C1,D1,C2,D2) <-> axis_compatible(A1,B1,C1,D1) & axis_compatible(A2,B2,C2,D2))) # label(box2_overlap) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  25 (all A1 all B1 all A2 all B2 all C1 all D1 all C2 all D2 (box2_conflict(A1,B1,A2,B2,C1,D1,C2,D2) <-> axis_conflict(A1,B1,C1,D1) | axis_conflict(A2,B2,C2,D2))) # label(box2_conflict) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  26 (all X all V (in_closed(X,V,V) <-> X = V)) # label(shape_point) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  27 (all X all A all B (in_closed(X,A,B) <-> leq(A,X) & leq(X,B))) # label(shape_closed) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  28 (all X all A all B (in_ropen(X,A,B) <-> leq(A,X) & less(X,B))) # label(shape_ropen) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  29 (all X all A all B (in_lopen(X,A,B) <-> less(A,X) & leq(X,B))) # label(shape_lopen) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  30 (all X all A all B (in_open(X,A,B) <-> less(A,X) & less(X,B))) # label(shape_open) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.96  31 -(exists X (in_closed(X,n0,n10) & in_closed(X,n5,n10))) # label(no_false_compatible) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.44/0.96  
% 0.44/0.96  ============================== end of process non-clausal formulas ===
% 0.44/0.96  
% 0.44/0.96  ============================== PROCESS INITIAL CLAUSES ===============
% 0.44/0.96  
% 0.44/0.96  ============================== PREDICATE ELIMINATION =================
% 0.44/0.96  32 -axis_subsumes(A,B,C,D) | -in_closed(E,A,B) | in_closed(E,C,D) # label(axis_subsumes_def) # label(axiom).  [clausify(16)].
% 0.44/0.96  33 axis_subsumes(A,B,C,D) | in_closed(f3(A,B,C,D),A,B) # label(axis_subsumes_def) # label(axiom).  [clausify(16)].
% 0.44/0.96  Derived: -in_closed(A,B,C) | in_closed(A,D,E) | in_closed(f3(B,C,D,E),B,C).  [resolve(32,a,33,a)].
% 0.44/0.96  34 axis_subsumes(A,B,C,D) | -in_closed(f3(A,B,C,D),C,D) # label(axis_subsumes_def) # label(axiom).  [clausify(16)].
% 0.44/0.96  Derived: -in_closed(f3(A,B,C,D),C,D) | -in_closed(E,A,B) | in_closed(E,C,D).  [resolve(34,a,32,a)].
% 0.44/0.96  35 in_lopen(A,B,C) | -less(B,A) | -leq(A,C) # label(in_lopen) # label(axiom).  [clausify(11)].
% 0.44/0.96  36 -in_lopen(A,B,C) | less(B,A) # label(in_lopen) # label(axiom).  [clausify(11)].
% 0.44/0.96  37 -in_lopen(A,B,C) | leq(A,C) # label(in_lopen) # label(axiom).  [clausify(11)].
% 0.44/0.96  38 -in_lopen(A,B,C) | less(B,A) # label(shape_lopen) # label(axiom).  [clausify(29)].
% 0.44/0.97  39 -in_lopen(A,B,C) | leq(A,C) # label(shape_lopen) # label(axiom).  [clausify(29)].
% 0.44/0.97  40 in_lopen(A,B,C) | -less(B,A) | -leq(A,C) # label(shape_lopen) # label(axiom).  [clausify(29)].
% 0.44/0.97  41 in_ropen(A,B,C) | -leq(B,A) | -less(A,C) # label(in_ropen) # label(axiom).  [clausify(12)].
% 0.44/0.97  42 -in_ropen(A,B,C) | leq(B,A) # label(in_ropen) # label(axiom).  [clausify(12)].
% 0.44/0.97  43 -in_ropen(A,B,C) | less(A,C) # label(in_ropen) # label(axiom).  [clausify(12)].
% 0.44/0.97  44 -in_ropen(A,B,C) | leq(B,A) # label(shape_ropen) # label(axiom).  [clausify(28)].
% 0.44/0.97  45 -in_ropen(A,B,C) | less(A,C) # label(shape_ropen) # label(axiom).  [clausify(28)].
% 0.44/0.97  46 in_ropen(A,B,C) | -leq(B,A) | -less(A,C) # label(shape_ropen) # label(axiom).  [clausify(28)].
% 0.44/0.97  47 in_open(A,B,C) | -less(B,A) | -less(A,C) # label(in_open) # label(axiom).  [clausify(13)].
% 0.44/0.97  48 -in_open(A,B,C) | less(B,A) # label(in_open) # label(axiom).  [clausify(13)].
% 0.44/0.97  49 -in_open(A,B,C) | less(A,C) # label(in_open) # label(axiom).  [clausify(13)].
% 0.44/0.97  50 -in_open(A,B,C) | less(B,A) # label(shape_open) # label(axiom).  [clausify(30)].
% 0.44/0.97  51 -in_open(A,B,C) | less(A,C) # label(shape_open) # label(axiom).  [clausify(30)].
% 0.44/0.97  52 in_open(A,B,C) | -less(B,A) | -less(A,C) # label(shape_open) # label(axiom).  [clausify(30)].
% 0.44/0.97  53 in_box2(A,B,C,D,E,F) | -in_closed(A,C,D) | -in_closed(B,E,F) # label(in_box2) # label(axiom).  [clausify(22)].
% 0.44/0.97  54 -in_box2(A,B,C,D,E,F) | in_closed(A,C,D) # label(in_box2) # label(axiom).  [clausify(22)].
% 0.44/0.97  55 -in_box2(A,B,C,D,E,F) | in_closed(B,E,F) # label(in_box2) # label(axiom).  [clausify(22)].
% 0.44/0.97  56 in_box3(A,B,C,D,E,F,V6,V7,V8) | -in_closed(A,D,E) | -in_closed(B,F,V6) | -in_closed(C,V7,V8) # label(in_box3) # label(axiom).  [clausify(23)].
% 0.44/0.97  57 -in_box3(A,B,C,D,E,F,V6,V7,V8) | in_closed(A,D,E) # label(in_box3) # label(axiom).  [clausify(23)].
% 0.44/0.97  58 -in_box3(A,B,C,D,E,F,V6,V7,V8) | in_closed(B,F,V6) # label(in_box3) # label(axiom).  [clausify(23)].
% 0.44/0.97  59 -in_box3(A,B,C,D,E,F,V6,V7,V8) | in_closed(C,V7,V8) # label(in_box3) # label(axiom).  [clausify(23)].
% 0.44/0.97  60 box2_compatible(A,B,C,D,E,F,V6,V7) | -axis_compatible(A,B,E,F) | -axis_compatible(C,D,V6,V7) # label(box2_overlap) # label(axiom).  [clausify(24)].
% 0.44/0.97  61 -box2_compatible(A,B,C,D,E,F,V6,V7) | axis_compatible(A,B,E,F) # label(box2_overlap) # label(axiom).  [clausify(24)].
% 0.44/0.97  62 -box2_compatible(A,B,C,D,E,F,V6,V7) | axis_compatible(C,D,V6,V7) # label(box2_overlap) # label(axiom).  [clausify(24)].
% 0.44/0.97  63 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),A,B) # label(axis_compatible_def) # label(axiom).  [clausify(15)].
% 0.44/0.97  64 axis_compatible(n0,n10,n5,n10) # label(compatible_hyp) # label(hypothesis).  [assumption].
% 0.44/0.97  Derived: in_closed(f2(n0,n10,n5,n10),n0,n10).  [resolve(63,a,64,a)].
% 0.44/0.97  65 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),C,D) # label(axis_compatible_def) # label(axiom).  [clausify(15)].
% 0.44/0.97  Derived: in_closed(f2(n0,n10,n5,n10),n5,n10).  [resolve(65,a,64,a)].
% 0.44/0.97  66 axis_compatible(A,B,C,D) | -in_closed(E,A,B) | -in_closed(E,C,D) # label(axis_compatible_def) # label(axiom).  [clausify(15)].
% 0.44/0.97  Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f2(B,C,D,E),B,C).  [resolve(66,a,63,a)].
% 0.44/0.97  Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f2(B,C,D,E),D,E).  [resolve(66,a,65,a)].
% 0.44/0.97  67 -box2_conflict(A,B,C,D,E,F,V6,V7) | axis_conflict(A,B,E,F) | axis_conflict(C,D,V6,V7) # label(box2_conflict) # label(axiom).  [clausify(25)].
% 0.44/0.97  68 box2_conflict(A,B,C,D,E,F,V6,V7) | -axis_conflict(A,B,E,F) # label(box2_conflict) # label(axiom).  [clausify(25)].
% 0.44/0.97  69 box2_conflict(A,B,C,D,E,F,V6,V7) | -axis_conflict(C,D,V6,V7) # label(box2_conflict) # label(axiom).  [clausify(25)].
% 0.44/0.97  70 -axis_conflict(A,B,C,D) | -in_closed(E,A,B) | -in_closed(E,C,D) # label(axis_conflict_def) # label(axiom).  [clausify(14)].
% 0.44/0.97  71 axis_conflict(A,B,C,D) | in_closed(f1(A,B,C,D),A,B) # label(axis_conflict_def) # label(axiom).  [clausify(14)].
% 0.44/0.97  72 axis_conflict(A,B,C,D) | in_closed(f1(A,B,C,D),C,D) # label(axis_conflict_def) # label(axiom).  [clausify(14)].
% 0.44/0.97  Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f1(B,C,D,E),B,C).  [resolve(70,a,71,a)].
% 0.44/0.97  Derived: -in_closed(A,B,C) | -in_closed(A,D,E) | in_closed(f1(B,C,D,E),D,E).  [resolve(70,a,72,a)].
% 0.44/0.97  
% 0.44/0.97  ============================== end predicate elimination =============
% 0.44/0.97  
% 0.44/0.97  Auto_denials:  (non-Horn, no changes).
% 0.44/0.97  
% 0.44/0.97  Term ordering decisions:
% 0.44/0.97  Function symbol KB weights:  conflict=1. n10=1. unknown=1. compatible=1. n5=1. n0=1. box_verdict=1. f1=1. f2=1. f3=1.
% 0.44/0.97  
% 0.44/0.97  ============================== end of process initial clauses ========
% 0.44/0.97  
% 0.44/0.97  ============================== CLAUSES FOR SEARCH ====================
% 0.44/0.97  
% 0.44/0.97  ============================== end of clauses for search =============
% 0.44/0.97  
% 0.44/0.97  ============================== SEARCH ================================
% 0.44/0.97  
% 0.44/0.97  % Starting search at 0.02 seconds.
% 0.44/0.97  
% 0.44/0.97  ============================== PROOF =================================
% 0.44/0.97  % SZS status Theorem
% 0.44/0.97  % SZS output start Refutation
% 0.44/0.97  
% 0.44/0.97  % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.44/0.97  % Length of proof is 9.
% 0.44/0.97  % Level of proof is 3.
% 0.44/0.97  % Maximum clause weight is 8.000.
% 0.44/0.97  % Given clauses 34.
% 0.44/0.97  
% 0.44/0.97  15 (all I1lo all I1hi all I2lo all I2hi (axis_compatible(I1lo,I1hi,I2lo,I2hi) <-> (exists X (in_closed(X,I1lo,I1hi) & in_closed(X,I2lo,I2hi))))) # label(axis_compatible_def) # label(axiom) # label(non_clause).  [assumption].
% 0.44/0.97  31 -(exists X (in_closed(X,n0,n10) & in_closed(X,n5,n10))) # label(no_false_compatible) # label(negated_conjecture) # label(non_clause).  [assumption].
% 0.44/0.97  63 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),A,B) # label(axis_compatible_def) # label(axiom).  [clausify(15)].
% 0.44/0.97  64 axis_compatible(n0,n10,n5,n10) # label(compatible_hyp) # label(hypothesis).  [assumption].
% 0.44/0.97  65 -axis_compatible(A,B,C,D) | in_closed(f2(A,B,C,D),C,D) # label(axis_compatible_def) # label(axiom).  [clausify(15)].
% 0.44/0.97  85 -in_closed(A,n0,n10) | -in_closed(A,n5,n10) # label(no_false_compatible) # label(negated_conjecture).  [clausify(31)].
% 0.44/0.97  114 in_closed(f2(n0,n10,n5,n10),n0,n10).  [resolve(63,a,64,a)].
% 0.44/0.97  115 in_closed(f2(n0,n10,n5,n10),n5,n10).  [resolve(65,a,64,a)].
% 0.44/0.97  181 $F.  [resolve(114,a,85,a),unit_del(a,115)].
% 0.44/0.97  
% 0.44/0.97  % SZS output end Refutation
% 0.44/0.97  ============================== end of proof ==========================
% 0.44/0.97  
% 0.44/0.97  ============================== STATISTICS ============================
% 0.44/0.97  
% 0.44/0.97  Given=34. Generated=154. Kept=100. proofs=1.
% 0.44/0.97  Usable=34. Sos=59. Demods=0. Limbo=4, Disabled=87. Hints=0.
% 0.44/0.97  Megabytes=0.17.
% 0.44/0.97  User_CPU=0.02, System_CPU=0.00, Wall_clock=0.
% 0.44/0.97  
% 0.44/0.97  ============================== end of statistics =====================
% 0.44/0.97  
% 0.44/0.97  ============================== end of search =========================
% 0.44/0.97  
% 0.44/0.97  THEOREM PROVED
% 0.44/0.97  % SZS status Theorem
% 0.44/0.97  
% 0.44/0.97  Exiting with 1 proof.
% 0.44/0.97  
% 0.44/0.97  Process 2695 exit (max_proofs) Tue Apr 28 18:41:36 2026
% 0.44/0.97  Prover9 interrupted
%------------------------------------------------------------------------------