0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : tptp2X_and_run_prover9 %d %s
0.13/0.35	% Computer   : n021.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 1200
0.13/0.35	% DateTime   : Tue Jul 13 14:08:10 EDT 2021
0.13/0.35	% CPUTime    : 
0.81/1.13	============================== Prover9 ===============================
0.81/1.13	Prover9 (32) version 2009-11A, November 2009.
0.81/1.13	Process 25172 was started by sandbox on n021.cluster.edu,
0.81/1.13	Tue Jul 13 14:08:11 2021
0.81/1.13	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 1200 -f /tmp/Prover9_25019_n021.cluster.edu".
0.81/1.13	============================== end of head ===========================
0.81/1.13	
0.81/1.13	============================== INPUT =================================
0.81/1.13	
0.81/1.13	% Reading from file /tmp/Prover9_25019_n021.cluster.edu
0.81/1.13	
0.81/1.13	set(prolog_style_variables).
0.81/1.13	set(auto2).
0.81/1.13	    % set(auto2) -> set(auto).
0.81/1.13	    % set(auto) -> set(auto_inference).
0.81/1.13	    % set(auto) -> set(auto_setup).
0.81/1.13	    % set(auto_setup) -> set(predicate_elim).
0.81/1.13	    % set(auto_setup) -> assign(eq_defs, unfold).
0.81/1.13	    % set(auto) -> set(auto_limits).
0.81/1.13	    % set(auto_limits) -> assign(max_weight, "100.000").
0.81/1.13	    % set(auto_limits) -> assign(sos_limit, 20000).
0.81/1.13	    % set(auto) -> set(auto_denials).
0.81/1.13	    % set(auto) -> set(auto_process).
0.81/1.13	    % set(auto2) -> assign(new_constants, 1).
0.81/1.13	    % set(auto2) -> assign(fold_denial_max, 3).
0.81/1.13	    % set(auto2) -> assign(max_weight, "200.000").
0.81/1.13	    % set(auto2) -> assign(max_hours, 1).
0.81/1.13	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.81/1.13	    % set(auto2) -> assign(max_seconds, 0).
0.81/1.13	    % set(auto2) -> assign(max_minutes, 5).
0.81/1.13	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.81/1.13	    % set(auto2) -> set(sort_initial_sos).
0.81/1.13	    % set(auto2) -> assign(sos_limit, -1).
0.81/1.13	    % set(auto2) -> assign(lrs_ticks, 3000).
0.81/1.13	    % set(auto2) -> assign(max_megs, 400).
0.81/1.13	    % set(auto2) -> assign(stats, some).
0.81/1.13	    % set(auto2) -> clear(echo_input).
0.81/1.13	    % set(auto2) -> set(quiet).
0.81/1.13	    % set(auto2) -> clear(print_initial_clauses).
0.81/1.13	    % set(auto2) -> clear(print_given).
0.81/1.13	assign(lrs_ticks,-1).
0.81/1.13	assign(sos_limit,10000).
0.81/1.13	assign(order,kbo).
0.81/1.13	set(lex_order_vars).
0.81/1.13	clear(print_given).
0.81/1.13	
0.81/1.13	% formulas(sos).  % not echoed (69 formulas)
0.81/1.13	
0.81/1.13	============================== end of input ==========================
0.81/1.13	
0.81/1.13	% From the command line: assign(max_seconds, 1200).
0.81/1.13	
0.81/1.13	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.81/1.13	
0.81/1.13	% Formulas that are not ordinary clauses:
0.81/1.13	1 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z,V) | s_e(Z,V,Z2,V2) | -s_e(X,Y,Z2,V2))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	2 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	4 (all X all Y all W all V (s_e(Y,ext(X,Y,W,V),W,V) & s_t(X,Y,ext(X,Y,W,V)))) # label(aA4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	5 (all X all Y (Y = X | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	6 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xa,Xp,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xb,Xq,Xc)) & (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa)))) # label(aA7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	7 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(Y,V,Y1,V1) | -s_t(X1,Y1,Z1) | s_e(Z,V,Z1,V1) | Y = X | -s_t(X,Y,Z) | -s_e(X,V,X1,V1) | -s_e(Y,Z,Y1,Z1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	8 (all Xa all Xb all Xc (s_col(Xc,Xb,Xa) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11c) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	9 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xd,Xc) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_14) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	10 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	11 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	12 (all Xa all Xb all Xc all Xd all Y ((-s_t(Xc,Y,Xd) | le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y)) & (s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)) & (s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd) | -le(Xa,Xb,Xc,Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	13 (all Xa all Xb all Xa1 all Xc1 insert(Xa,Xb,Xa1,Xc1) = ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb)) # label(d_insert) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	14 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	15 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xb,Xc,Xd) | s_t(Xb,Xd,Xc) | Xa = Xb)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	16 (all Xa all Xb all Xd all Xc (s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	17 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (Xb = Xa | s_e(Xc,Xd,Xc1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	18 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xd) | s_t(Xa,Xd,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	19 (all Xa all Xb all Xc (s_col(Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11d) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	20 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xc,Xd,Xa,Xb))) # label(aSatz2_2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	21 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	22 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (s_t(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	23 (all Xq all Xa all Xd all Xb all Xc (Xq = Xa | ext(Xq,Xa,Xb,Xc) = Xd | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd))) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	24 (all Xa all Xb all Xc (s_col(Xa,Xc,Xb) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11e) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	25 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	26 (all Xa all Xb all Xc all XA all XB all XC (-s_e(Xa,Xb,XB,XC) | s_e(Xa,Xc,XA,XC) | -s_e(Xb,Xc,XA,XB) | -s_t(XA,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	27 (all Xa all Xc all Xb all Xc1 (-s_t(Xa,Xc,Xb) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	28 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	29 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	30 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)) & (s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	31 (all Xa all Xb all Xc all Xd ((s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd) | -le(Xa,Xb,Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd) = ins(Xc,Xd,Xa,Xb)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	32 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xa,Xd,Xa1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | -s_col(Xa,Xb,Xc)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xa,Xd,Xa1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	33 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xa,Xc) | Xa = Xb)) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	34 (all Xb all Xc all Xa (Xc = Xb | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	35 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	36 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xd,Xc))) # label(aSatz2_5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	37 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	38 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xb,Za,Zb)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xd,Za,Zd)) & (-s_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xb,Xc,Zb,Zc) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xd,Zb,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xa,Xb,Za,Zb)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	39 (all Xa all Xb all Xc all Xp all Xq (Xa = Xb | -s_col(Xa,Xb,Xc) | -s_e(Xa,Xp,Xa,Xq) | s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq))) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	40 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	41 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | Xc = Xb | s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	42 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xc,Xd))) # label(aSatz2_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	43 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xc,Xa,Xb))) # label(aSatz4_11b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	44 (all Xa all Xb all Xc all Xd all Xe (le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	45 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | Xb = Xc)) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	46 (all Xa all Xb all Xc ((-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa)) & (s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	47 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1))) # label(aSatz4_2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	48 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1 | -s_e(Xa,Xc,Xa,Xc1) | Xa = Xb)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	49 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_e(Xc,Xd,Xc1,Xd1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xb,Xa1,Xb1) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	50 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((s_e(Xa2,Xa3,Xb2,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa3,Xb1,Xb3)) & (s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	51 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	52 (all Xa all Xb all Xc (s_t(Xc,Xb,Xa) | -s_t(Xa,Xb,Xc))) # label(aSatz3_2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	53 (all Xa all Xb all Xc all Xd all Xe all Xf (s_e(Xa,Xb,Xe,Xf) | -s_e(Xc,Xd,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	54 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | s_t(Xa,Xb,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	55 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	56 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	57 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Za,Zb,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xc,Za,Zc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_e(Xb,Xc,Zb,Zc) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xa,Xc,Za,Zc) | -s_t(Za,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (s_e(Xa,Xd,Za,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	58 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	59 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_col(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_col(Xa1,Xb1,Xc1))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	60 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xb,Xc,Xa))) # label(aSatz4_11a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	61 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa1,Xb1,Xc) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xp,Xa1) | -s_t(Xa,Xb,Xc)) & (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa,Xp,Xa1)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	62 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.13	63 -(all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xc,Xd,Xe,Xf) | le(Xa,Xb,Xe,Xf) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_8) # label(negated_conjecture) # label(non_clause).  [assumption].
0.81/1.13	
0.81/1.13	============================== end of process non-clausal formulas ===
0.81/1.13	
0.81/1.13	============================== PROCESS INITIAL CLAUSES ===============
0.81/1.13	
0.81/1.13	============================== PREDICATE ELIMINATION =================
0.81/1.13	64 -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | s_fs(A,B,C,V6,D,E,F,V7) | -s_e(B,V6,E,V7) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(32)].
0.81/1.13	65 A = B | s_e(C,D,E,F) | -s_fs(B,A,C,D,V6,V7,E,F) # label(aSatz4_16) # label(axiom).  [clausify(17)].
0.81/1.13	66 -s_fs(A,B,C,D,E,F,V6,V7) | s_e3(A,B,C,E,F,V6) # label(d_Defn4_15) # label(axiom).  [clausify(32)].
0.81/1.13	67 s_e(A,B,C,D) | -s_fs(E,A,F,B,V6,C,V7,D) # label(d_Defn4_15) # label(axiom).  [clausify(32)].
0.81/1.13	Derived: -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | -s_e(B,V6,E,V7) | -s_col(A,B,C) | B = A | s_e(C,V6,F,V7).  [resolve(64,c,65,c)].
0.81/1.13	68 -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_15) # label(axiom).  [clausify(32)].
0.81/1.13	69 -s_fs(A,B,C,D,E,F,V6,V7) | s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(32)].
0.81/1.13	70 s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C) # label(aSatz4_5) # label(axiom).  [clausify(30)].
0.81/1.13	71 s_t(A,B,C) | -s_e3(D,E,F,A,B,C) | -s_t(D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(22)].
0.81/1.13	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_t(C,insert(A,E,C,D),D) | -s_t(A,E,B).  [resolve(70,a,71,b)].
0.81/1.13	72 -s_col(A,B,C) | s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) # label(aSatz4_14) # label(axiom).  [clausify(40)].
0.81/1.13	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_t(D,E,insert5(A,B,C,D,E)) | -s_t(A,B,C).  [resolve(72,b,71,b)].
0.81/1.13	73 s_e(A,B,C,D) | -s_e3(E,A,B,F,C,D) # label(d_Defn4_4) # label(axiom).  [clausify(50)].
0.81/1.13	Derived: s_e(A,B,insert(C,A,D,E),E) | -s_e(C,B,D,E) | -s_t(C,A,B).  [resolve(73,b,70,a)].
0.81/1.13	Derived: s_e(A,B,C,insert5(D,A,B,E,C)) | -s_col(D,A,B) | -s_e(D,A,E,C).  [resolve(73,b,72,b)].
0.81/1.13	74 -s_e(A,B,C,D) | s_e3(A,E,B,C,F,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom).  [clausify(50)].
0.81/1.13	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | s_t(C,F,D) | -s_t(A,E,B).  [resolve(74,b,71,b)].
0.81/1.13	75 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(50)].
0.81/1.13	Derived: s_e(A,B,C,insert5(A,D,B,C,E)) | -s_col(A,D,B) | -s_e(A,D,C,E).  [resolve(75,a,72,b)].
0.81/1.13	76 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(50)].
94.50/94.82	Derived: s_e(A,B,C,insert(A,B,C,D)) | -s_e(A,E,C,D) | -s_t(A,B,E).  [resolve(76,b,70,a)].
94.50/94.82	77 -s_col(A,B,C) | -s_e3(A,B,C,D,E,F) | s_col(D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(59)].
94.50/94.82	Derived: -s_col(A,B,C) | s_col(D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C).  [resolve(77,b,70,a)].
94.50/94.82	Derived: -s_col(A,B,C) | s_col(D,E,insert5(A,B,C,D,E)) | -s_col(A,B,C) | -s_e(A,B,D,E).  [resolve(77,b,72,b)].
94.50/94.82	Derived: -s_col(A,B,C) | s_col(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,B,D,E).  [resolve(77,b,74,b)].
94.50/94.82	78 -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | -s_e(B,V6,E,V7) | -s_col(A,B,C) | B = A | s_e(C,V6,F,V7).  [resolve(64,c,65,c)].
94.50/94.82	Derived: -s_e(A,B,C,D) | -s_e(E,B,insert(A,E,C,F),D) | -s_col(A,E,V6) | E = A | s_e(V6,B,F,D) | -s_e(A,V6,C,F) | -s_t(A,E,V6).  [resolve(78,a,70,a)].
94.50/94.82	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(A,E,V6) | E = A | s_e(V6,B,insert5(A,E,V6,C,F),D) | -s_col(A,E,V6) | -s_e(A,E,C,F).  [resolve(78,a,72,b)].
94.50/94.82	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(A,E,V6) | E = A | s_e(V6,B,V7,D) | -s_e(A,V6,C,V7) | -s_e(E,V6,F,V7) | -s_e(A,E,C,F).  [resolve(78,a,74,b)].
94.50/94.82	79 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(B,C,E,F) | s_afs(A,B,C,V6,D,E,F,V7) | -s_e(B,V6,E,V7) | -s_e(A,V6,D,V7) | -s_e(A,B,D,E) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	80 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	81 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	82 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	83 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	84 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	85 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(38)].
94.50/94.82	86 -s_e(A,B,C,D) | -s_e(B,E,D,F) | s_ifs(V6,A,B,E,V7,C,D,F) | -s_e(V6,E,V7,F) | -s_e(V6,B,V7,D) | -s_t(V7,C,D) | -s_t(V6,A,B) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	87 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom).  [clausify(47)].
94.50/94.82	88 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	89 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	90 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	91 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	Derived: -s_e(A,B,C,D) | -s_e(B,E,D,F) | -s_e(V6,E,V7,F) | -s_e(V6,B,V7,D) | -s_t(V7,C,D) | -s_t(V6,A,B) | s_e(A,E,C,F).  [resolve(86,c,87,a)].
94.50/94.82	92 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	93 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(57)].
94.50/94.82	
94.50/94.82	============================== end predicate elimination =============
94.50/94.82	
94.50/94.82	Auto_denials:  (non-Horn, no changes).
94.50/94.82	
94.50/94.82	Term ordering decisions:
94.50/94.82	Function symbol KB weights:  alpha=1. gamma=1. beta=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. insert=1. ext=1. ins=1. insert5=1. ip=1. crossbar=1.
94.50/94.82	
94.50/94.82	============================== end of process initial clauses ========
94.50/94.82	
94.50/94.82	============================== CLAUSES FOR SEARCH ====================
94.50/94.82	
94.50/94.82	============================== end of clauses for search =============
94.50/94.82	
94.50/94.82	============================== SEARCH ================================
94.50/94.82	
94.50/94.82	% Starting search at 0.04 seconds.
94.50/94.82	
94.50/94.82	Low Water (keep): wt=37.000, iters=3656
94.50/94.82	
94.50/94.82	Low Water (keep): wt=33.000, iters=3442
94.50/94.82	
94.50/94.82	Low Water (keep): wt=29.000, iters=3440
94.50/94.82	
94.50/94.82	Low Water (keep): wt=25.000, iters=3348
94.50/94.82	
94.50/94.82	Low Water (keep): wt=21.000, iters=3340
94.50/94.82	
94.50/94.82	Low Water (keep): wt=20.000, iters=3342
94.50/94.82	
94.50/94.82	Low Water (keep): wt=17.000, iters=3483
94.50/94.82	
94.50/94.82	Low Water (keep): wt=16.000, iters=3335
94.50/94.82	
94.50/94.82	Low Water (keep): wt=13.000, iters=3372
94.50/94.82	
94.50/94.82	Low Water (displace): id=4970, wt=41.000
94.50/94.82	
94.50/94.82	Low Water (displace): id=4972, wt=37.000
94.50/94.82	
94.50/94.82	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 28 (0.00 of 81.05 sec).
94.50/94.82	
94.50/94.82	Low Water (displace): id=4882,Alarm clock 
119.77/120.03	Prover9 interrupted
119.77/120.03	EOF