0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.03/0.23	% Computer   : n165.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 07:29:40 CDT 2018
0.03/0.24	% CPUTime    : 
0.36/0.61	============================== Prover9 ===============================
0.36/0.61	Prover9 (32) version 2009-11A, November 2009.
0.36/0.61	Process 15720 was started by sandbox on n165.star.cs.uiowa.edu,
0.36/0.61	Sat Jul 14 07:29:40 2018
0.36/0.61	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_15688_n165.star.cs.uiowa.edu".
0.36/0.61	============================== end of head ===========================
0.36/0.61	
0.36/0.61	============================== INPUT =================================
0.36/0.61	
0.36/0.61	% Reading from file /tmp/Prover9_15688_n165.star.cs.uiowa.edu
0.36/0.61	
0.36/0.61	set(prolog_style_variables).
0.36/0.61	set(auto2).
0.36/0.61	    % set(auto2) -> set(auto).
0.36/0.61	    % set(auto) -> set(auto_inference).
0.36/0.61	    % set(auto) -> set(auto_setup).
0.36/0.61	    % set(auto_setup) -> set(predicate_elim).
0.36/0.61	    % set(auto_setup) -> assign(eq_defs, unfold).
0.36/0.61	    % set(auto) -> set(auto_limits).
0.36/0.61	    % set(auto_limits) -> assign(max_weight, "100.000").
0.36/0.61	    % set(auto_limits) -> assign(sos_limit, 20000).
0.36/0.61	    % set(auto) -> set(auto_denials).
0.36/0.61	    % set(auto) -> set(auto_process).
0.36/0.61	    % set(auto2) -> assign(new_constants, 1).
0.36/0.61	    % set(auto2) -> assign(fold_denial_max, 3).
0.36/0.61	    % set(auto2) -> assign(max_weight, "200.000").
0.36/0.61	    % set(auto2) -> assign(max_hours, 1).
0.36/0.61	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.36/0.61	    % set(auto2) -> assign(max_seconds, 0).
0.36/0.61	    % set(auto2) -> assign(max_minutes, 5).
0.36/0.61	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.36/0.61	    % set(auto2) -> set(sort_initial_sos).
0.36/0.61	    % set(auto2) -> assign(sos_limit, -1).
0.36/0.61	    % set(auto2) -> assign(lrs_ticks, 3000).
0.36/0.61	    % set(auto2) -> assign(max_megs, 400).
0.36/0.61	    % set(auto2) -> assign(stats, some).
0.36/0.61	    % set(auto2) -> clear(echo_input).
0.36/0.61	    % set(auto2) -> set(quiet).
0.36/0.61	    % set(auto2) -> clear(print_initial_clauses).
0.36/0.61	    % set(auto2) -> clear(print_given).
0.36/0.61	assign(lrs_ticks,-1).
0.36/0.61	assign(sos_limit,10000).
0.36/0.61	assign(order,kbo).
0.36/0.61	set(lex_order_vars).
0.36/0.61	clear(print_given).
0.36/0.61	
0.36/0.61	% formulas(sos).  % not echoed (133 formulas)
0.36/0.61	
0.36/0.61	============================== end of input ==========================
0.36/0.61	
0.36/0.61	% From the command line: assign(max_seconds, 300).
0.36/0.61	
0.36/0.61	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.36/0.61	
0.36/0.61	% Formulas that are not ordinary clauses:
0.36/0.61	1 (all X all Y all Z (-s_e(X,Y,Z,Z) | Y = X)) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(Y,Z,Y1,Z1) | -s_e(Y,V,Y1,V1) | -s_t(X,Y,Z) | -s_t(X1,Y1,Z1) | X = Y | s_e(Z,V,Z1,V1) | -s_e(X,V,X1,V1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	4 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	5 (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].
0.36/0.61	6 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z,V) | -s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	7 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xa,Xp,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].
0.36/0.61	8 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xb,Xc)) & (s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa,Xp,Xa1) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xb,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	9 (all Xa all Xm (Xa != Xm | s_m(Xa,Xm,Xa))) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	10 (all Xa all Xb all Xc all Xd all Xe (-s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	11 (all Xp all Xq all Xcs all Xr (Xcs = Xp | -s_col(Xp,Xq,Xr) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xcs) | Xp = Xq)) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	12 (all Xa all Xb all Xc (s_col(Xb,Xc,Xa) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	13 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	14 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Za,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_e(Xa,Xd,Za,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xc,Xd,Zc,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Xa,Xb,Xc)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	15 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa1,Xb1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -sameside(Xa,Xb,Xc))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	16 (all Xa all Xb all Xc ((s_e(Xa,Xc,Xa,s(Xb,Xc)) | -s_r(Xa,Xb,Xc)) & (s_r(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,s(Xb,Xc))))) # label(d_Defn8_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	17 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	18 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_e(Xa,Xc,Xa,Xc1) | Xb = Xa)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	19 (all Y all Z all X all Y1 all Z1 all U all V ((Y1 != Z1 | -perpAt(Y,Z,X,Y1,Z1)) & (perpAt(Y,Z,X,Y1,Z1) | Z = Y | Y1 = Z1 | -s_col(Y,Z,X) | -s_col(Y1,Z1,X) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X))) & (perpAt(Y,Z,X,Y1,Z1) | Y1 = Z1 | -s_col(Y1,Z1,X) | -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)) | -s_col(Y,Z,X) | Y = Z) & (perpAt(Y,Z,X,Y1,Z1) | Z = Y | -s_col(Y1,Z1,X) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | -s_col(Y,Z,X) | Z1 = Y1) & (-s_col(Y,Z,U) | s_r(U,X,V) | -s_col(Y1,Z1,V) | -perpAt(Y,Z,X,Y1,Z1)) & (Y != Z | -perpAt(Y,Z,X,Y1,Z1)) & (s_col(Y1,Z1,X) | -perpAt(Y,Z,X,Y1,Z1)) & (s_col(Y,Z,X) | -perpAt(Y,Z,X,Y1,Z1)))) # label(d_Defn8_11a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	20 (all Xa all Xb all Xc all Xd (-s_t(Xc,Xa,Xb) | -s_t(Xd,Xa,Xb) | s_t(Xc,Xd,Xb) | s_t(Xd,Xc,Xb) | Xa = Xb)) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	21 (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].
0.36/0.61	22 (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].
0.36/0.61	23 (all Xa all Xb (Xa = Xb | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	24 (all Xa all Xb all Xc all Xp all Xq (-s_col(Xa,Xb,Xc) | s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq) | -s_e(Xa,Xp,Xa,Xq) | Xa = Xb)) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	25 (all Xa all Xp (Xp = Xa | sameside(Xa,Xp,Xa))) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	26 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa1,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa,Xb,Xc))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	27 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	28 (all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xe,Xf) | le(Xa,Xb,Xe,Xf))) # label(aSatz5_8) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	29 (all Xa all Xb all Xc (-s_t(Xb,Xa,Xc) | Xa = Xb | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	30 (all Xa all Xp all Xq (s(Xa,Xp) != s(Xa,Xq) | Xp = Xq)) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	31 (all Xa all Xp all Xb all Xc (sameside(Xa,Xp,Xb) | Xp = Xc | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xb = Xp | Xa = Xp)) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	32 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (-s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xe) | s_col(Xp,Xq,Xe) | Xc = Xd | -s_col(Xp,Xq,Xd) | -s_col(Xa,Xb,Xd) | -s_col(Xa,Xb,Xc) | Xq = Xp | Xb = Xa)) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	33 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc) | le(Xa,Xb,Xa,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	34 (all Xa all Xp all Xb (s_t(Xp,Xa,Xb) | -le(Xp,Xa,Xp,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	35 (all Xa all Xb all Xc (-s_e(Xa,Xc,Xa,Xb) | Xb = Xc | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	36 (all Xa all Xb all Xc all Xd (s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	37 (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].
0.36/0.61	38 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	39 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	40 (all Xp all Xq all Xr all Xa (Xp = Xr | -s_t(Xq,Xp,Xr) | -s_col(Xa,Xp,Xq) | sameside(Xa,Xp,Xq) | sameside(Xa,Xp,Xr) | Xa = Xp | Xq = Xp)) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	41 (all Xa all Xp all Xb (s_t(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb) | sameside(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	42 (all Xp all Xq all Xr (Xq = Xp | s_col(Xq,Xp,Xr) | -s_col(Xp,Xq,Xr))) # label(aSatz6_17b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	43 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xq) | Xr = Xq | -s_m(Xp,Xa,Xr))) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	44 (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_e(Xa,Xc,Xa1,Xc1) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	45 (all Xp all Xq all Xr all Xcs all Xa (-s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)) | s_e(Xp,Xq,Xr,Xcs))) # label(aSatz7_16b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	46 (all Xa all Xp all Xb all Xc (Xa = Xp | Xp = Xb | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | Xc = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	47 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	48 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xa1,Xb1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xc,Xd,Xc1,Xd1))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	49 (all Xa all Xp all Xb ((-s_t(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (s_col(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	50 (all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_e(Xc,Xa1,Xc,Xb1) | -s_e(Xc,Xa2,Xc,Xb2) | -s_m(Xa1,Xm1,Xb1) | s_t(Xm1,Xc,Xm2) | -s_m(Xa2,Xm2,Xb2) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2))) # label(aSatz7_22) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	51 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	52 (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].
0.36/0.61	53 (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].
0.36/0.61	54 (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) | Xb = Xa)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	55 (all Xa all Xb all Xc all Xd all Xp (s_col(Xa,Xb,Xc) | -s_e(Xa,Xb,Xc,Xd) | -s_e(Xb,Xc,Xd,Xa) | -s_col(Xb,Xp,Xd) | s_m(Xa,Xp,Xc) | -s_col(Xa,Xp,Xc) | Xd = Xb)) # label(aSatz7_21) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	56 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (s_col(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	57 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	58 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xp != Xa) & (-s_t(Xp,Xb,Xa) | sameside(Xa,Xp,Xb) | Xp = Xb | Xa = Xp) & (Xa = Xp | xb = Xp | sameside(Xa,Xp,Xb) | -s_t(Xp,Xa,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) & (Xp != Xb | -sameside(Xa,Xp,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	59 (all Xa all Xm all Xb (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | Xb = Xa | -s_col(Xa,Xm,Xb))) # label(aSatz7_20) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	60 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (-le(Xc,Xa1,Xc,Xa2) | s_t(Xm1,Xc,Xm2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))) # label(aSatz7_22a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	61 (all Xp all Xq all Xr all Xa (s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)) | -s_t(Xp,Xq,Xr))) # label(aSatz7_15a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	62 (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].
0.36/0.61	63 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xc = Xb | s_t(Xa,Xb,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	64 (all Xa all Xm all Xb (-s_m(Xa,Xm,Xb) | s_m(Xb,Xm,Xa))) # label(aSatz7_2) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	65 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xc,Xd,Xc1,Xd1) | Xa = Xb | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	66 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xp = Xq)) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	67 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((s_col(Xa,Xb,Xc) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_e(Xa,Xd,Xa1,Xd1) | -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_col(Xa,Xb,Xc)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	68 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xc,Xd) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	69 (all Xa all Xb all Xc all Xd (Xb = Xa | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	70 (all Xr all Xa all Xb all Xc all Xp all Xq (Xa = Xr | -sameside(Xp,Xa,Xr) | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xq,Xb,Xc) | Xq = Xp | -s_e(Xa,Xp,Xb,Xc) | Xb = Xc)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	71 (all Xa all Xb all Xp all Xq all Xr (Xa = Xb | Xp = Xq | -s_col(Xp,Xq,Xa) | -s_col(Xp,Xq,Xb) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xr))) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	72 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xc,Xb,Xa))) # label(aSatz4_11c) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	73 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | -s_t(Xp,Xa,Xb) | le(Xp,Xa,Xp,Xb))) # label(aSatz6_13b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	74 (all Xa all Xc all Xb all Xc1 (-s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_e(Xa,Xc,Xa,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	75 (all Xa all Xb all Xp (Xb = Xa | s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)))) # label(aSatz7_19) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	76 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa2,Xa3,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,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].
0.36/0.61	77 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	78 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	79 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	80 (all Xa all Xb all Xc (-le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	81 (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].
0.36/0.61	82 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_t(Xa1,Xc,Xa2)) & (s_t(Xb1,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (s_e(Xc,Xa1,Xc,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa2,Xc,Xb2)) & (-s_e(Xc,Xa1,Xc,Xb1) | -s_e(Xc,Xa2,Xc,Xb2) | -s_m(Xa1,Xm1,Xb1) | -s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (s_m(Xa1,Xm1,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	83 (all Xp all Xq all Xr all Xa (Xr = Xp | Xa != Xp | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xp = Xq)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	84 (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].
0.36/0.61	85 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	86 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_t(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz4_6) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	87 (all Xa all Xp all Xb all Xc (Xp = Xa | Xb = Xp | Xc = Xp | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc))) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	88 (all Xa all Xp (Xa = Xp | Xp != s(Xa,Xp))) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	89 (all Xa all Xp all Xb (Xa = Xb | s(Xb,Xp) != s(Xa,Xp))) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	90 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	91 (all Xa all Xb all Xc all XA all XB all XC (-s_t(XA,XB,XC) | -s_e(Xa,Xb,XB,XC) | s_e(Xa,Xc,XA,XC) | -s_e(Xb,Xc,XA,XB) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	92 (all Xa all Xb all Xc all Xd ((-le(Xa,Xb,Xc,Xd) | s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))) & (-le(Xa,Xb,Xc,Xd) | s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd) = ins(Xc,Xd,Xa,Xb)))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	93 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	94 (all Xc all Xa all Xb (s_m(Xa,isomidpoint(Xa,Xb,Xc),Xb) | -s_e(Xc,Xa,Xc,Xb))) # label(aSatz7_25) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	95 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xb,Za,Zb) | -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_t(Za,Zb,Zc)) & (s_e(Xa,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_t(Za,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	96 (all Xp all Xq all Xr all Xa (Xp = Xr | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xp = Xq)) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	97 (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].
0.36/0.61	98 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (s_t(Xm1,Xc,Xm2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))) # label(aSatz7_22b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	99 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xd,Xc))) # label(aSatz2_14) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	100 (all Xp all Xq all Xr all Xa (s_t(Xp,Xq,Xr) | -s_t(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr)))) # label(aSatz7_15b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	101 (all Xa all Xp all Xb ((Xa != Xp | -sameside(Xa,Xp,Xb)) & (Xp != Xb | -sameside(Xa,Xp,Xb)) & (Xp != c63(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	102 (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].
0.36/0.61	103 (all Xa all Xp (Xp != Xa | s(Xa,Xp) = Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	104 (all Xp all Xq all Xa s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq))) # label(aSatz7_13) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	105 (all Xa all Xm (-s_m(Xa,Xm,Xa) | Xa = Xm)) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	106 (all Xb all Xc all Xa (-s_e(Xb,Xc,Xa,Xa) | Xc = Xb)) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	107 (all Xa all Xb all Xc all Xd (s_e(Xc,Xd,Xa,Xb) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_2) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	108 (all Xa all Xb all Xa1 all Xc1 ext(ext(Xc1,Xa1,alpha,gamma),Xa1,Xa,Xb) = insert(Xa,Xb,Xa1,Xc1)) # label(d_insert) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	109 (all Xp all Xq all Xr all Xcs all Xa (-s_e(Xp,Xq,Xr,Xcs) | s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)))) # label(aSatz7_16a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	110 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	111 (all Xp all Xa all Xq (-s_m(Xp,Xa,Xq) | Xq = s(Xa,Xp))) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	112 (all Xp all Xa all Xq all Xb (Xa = Xb | -s_m(Xp,Xb,Xq) | -s_m(Xp,Xa,Xq))) # label(aSatz7_17) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	113 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xr = Xp | Xp = Xq)) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	114 (all Xa all Xb all Xc all Xd (le(Xa,Xb,Xc,Xd) | le(Xc,Xd,Xa,Xb))) # label(aSatz5_10) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	115 (all Xa all Xb all Xc all Xd (s_e(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xa,Xb) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	116 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	117 (all Xa all Xb all Xc all Xd all Y ((s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)) & (-s_t(Xc,Y,Xd) | -s_e(Xa,Xb,Xc,Y) | 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].
0.36/0.61	118 (all Xr all Xa all Xb all Xc ((Xa = Xr | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xc = Xb) & (Xa = Xr | Xc = Xb | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc)))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.61	119 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xc,Xd))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	120 (all Xa all Xm all Xb ((s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (s_m(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)) & (-s_m(Xa,Xm,Xb) | s_e(Xm,Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	121 (all Xa all Xp all Xb all Xc (-sameside(Xb,Xp,Xc) | sameside(Xa,Xp,Xc) | -sameside(Xa,Xp,Xb))) # label(aSatz6_7) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	122 (all Xa all Xp all Xr all Xq (s(Xa,Xp) != Xr | Xp = Xq | Xr != s(Xa,Xq))) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	123 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	124 (all Xa all Xb all Xc ((-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)) & (-s_col(Xa,Xb,Xc) | s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa) | s_t(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	125 (all Xp all Xq all Xp1 all Xq1 all X ((-perpAt(Xp,Xq,X,Xp1,Xq1) | perp(Xp,Xq,Xp1,Xq1)) & (perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1) | -perp(Xp,Xq,Xp1,Xq1)))) # label(d_Defn8_11b) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	126 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.36/0.62	127 -(all Xa all Xb all Xc (s_r(Xc,Xb,Xa) | -s_r(Xa,Xb,Xc))) # label(aSatz8_2) # label(negated_conjecture) # label(non_clause).  [assumption].
0.36/0.62	
0.36/0.62	============================== end of process non-clausal formulas ===
0.36/0.62	
0.36/0.62	============================== PROCESS INITIAL CLAUSES ===============
0.36/0.62	
0.36/0.62	============================== PREDICATE ELIMINATION =================
0.36/0.62	128 -s_t(A,B,C) | -s_e(D,E,A,C) | -s_e(D,F,A,V6) | s_ifs(D,V7,E,F,A,B,C,V6) | -s_e(E,F,C,V6) | -s_e(V7,E,B,C) | -s_t(D,V7,E) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	129 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	130 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	131 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	132 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	133 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	134 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(A,B,C) # label(d_Defn4_1) # label(axiom).  [clausify(14)].
0.36/0.62	135 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom).  [clausify(62)].
0.36/0.62	Derived: s_e(A,B,C,D) | -s_t(E,C,F) | -s_e(V6,V7,E,F) | -s_e(V6,B,E,D) | -s_e(V7,B,F,D) | -s_e(A,V7,C,F) | -s_t(V6,A,V7).  [resolve(135,a,128,d)].
0.36/0.62	136 perpAt(A,B,C,D,E) | B = A | E = D | -s_col(A,B,C) | -s_col(D,E,C) | s_col(A,B,f811(A,B,D,E,C)) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	137 A != B | -perpAt(C,D,E,B,A) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	138 perpAt(A,B,C,D,E) | E = D | -s_col(D,E,C) | -s_r(f811(A,B,D,E,C),C,g811(A,B,D,E,C)) | -s_col(A,B,C) | B = A # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	139 perpAt(A,B,C,D,E) | B = A | -s_col(D,E,C) | s_col(D,E,g811(A,B,D,E,C)) | -s_col(A,B,C) | E = D # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	140 -s_col(A,B,C) | s_r(C,D,E) | -s_col(F,V6,E) | -perpAt(A,B,D,F,V6) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	Derived: -s_col(A,B,C) | s_r(C,D,E) | -s_col(F,V6,E) | B = A | V6 = F | -s_col(A,B,D) | -s_col(F,V6,D) | s_col(A,B,f811(A,B,F,V6,D)).  [resolve(140,d,136,a)].
0.36/0.62	Derived: -s_col(A,B,C) | s_r(C,D,E) | -s_col(F,V6,E) | V6 = F | -s_col(F,V6,D) | -s_r(f811(A,B,F,V6,D),D,g811(A,B,F,V6,D)) | -s_col(A,B,D) | B = A.  [resolve(140,d,138,a)].
0.36/0.62	Derived: -s_col(A,B,C) | s_r(C,D,E) | -s_col(F,V6,E) | B = A | -s_col(F,V6,D) | s_col(F,V6,g811(A,B,F,V6,D)) | -s_col(A,B,D) | V6 = F.  [resolve(140,d,139,a)].
0.36/0.62	141 A != B | -perpAt(B,A,C,D,E) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	142 s_col(A,B,C) | -perpAt(D,E,C,A,B) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	143 s_col(A,B,C) | -perpAt(A,B,C,D,E) # label(d_Defn8_11a) # label(axiom).  [clausify(19)].
0.36/0.62	144 -perpAt(A,B,C,D,E) | perp(A,B,D,E) # label(d_Defn8_11b) # label(axiom).  [clausify(125)].
0.36/0.62	Derived: perp(A,B,C,D) | B = A | D = C | -s_col(A,B,E) | -s_col(C,D,E) | s_col(A,B,f811(A,B,C,D,E)).  [resolve(144,a,136,a)].
0.36/0.62	Derived: perp(A,B,C,D) | D = C | -s_col(C,D,E) | -s_r(f811(A,B,C,D,E),E,g811(A,B,C,D,E)) | -s_col(A,B,E) | B = A.  [resolve(144,a,138,a)].
0.36/0.62	Derived: perp(A,B,C,D) | B = A | -s_col(C,D,E) | s_col(C,D,g811(A,B,C,D,E)) | -s_col(A,B,E) | D = C.  [resolve(144,a,139,a)].
0.36/0.62	145 perpAt(A,B,il(A,B,C,D),C,D) | -perp(A,B,C,D) # label(d_Defn8_11b) # label(axiom).  [clausify(125)].
0.36/0.62	Derived: -perp(A,B,C,D) | D != C.  [resolve(145,a,137,b)].
0.36/0.62	Derived: -perp(A,B,C,D) | -s_col(A,B,E) | s_r(E,il(A,B,C,D),F) | -s_col(C,D,F).  [resolve(145,a,140,d)].
0.36/0.62	Derived: -perp(A,B,C,D) | B != A.  [resolve(145,a,141,b)].
0.36/0.62	Derived: -perp(A,B,C,D) | s_col(C,D,il(A,B,C,D)).  [resolve(145,a,142,b)].
0.36/0.62	Derived: -perp(A,B,C,D) | s_col(A,B,il(A,B,C,D)).  [resolve(145,a,143,b)].
0.36/0.62	146 s_col(A,B,C) | -s_e3(D,E,F,A,B,C) | -s_col(D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(56)].
0.36/0.62	147 -s_e(A,B,C,D) | s_e3(A,E,B,C,insert(A,E,C,D),D) | -s_t(A,E,B) # label(aSatz4_5) # label(axiom).  [clausify(44)].
0.36/0.62	148 -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(53)].
0.36/0.62	Derived: s_col(A,insert(B,C,A,D),D) | -s_col(B,C,E) | -s_e(B,E,A,D) | -s_t(B,C,E).  [resolve(146,b,147,b)].
0.36/0.62	Derived: s_col(A,B,insert5(C,D,E,A,B)) | -s_col(C,D,E) | -s_col(C,D,E) | -s_e(C,D,A,B).  [resolve(146,b,148,b)].
0.36/0.62	149 -s_e(A,B,C,D) | -s_e(E,B,F,D) | s_fs(A,E,V6,B,C,F,V7,D) | -s_e3(A,E,V6,C,F,V7) | -s_col(A,E,V6) # label(d_Defn4_15) # label(axiom).  [clausify(67)].
0.36/0.62	Derived: -s_e(A,B,C,D) | -s_e(E,B,insert(A,E,C,F),D) | s_fs(A,E,V6,B,C,insert(A,E,C,F),F,D) | -s_col(A,E,V6) | -s_e(A,V6,C,F) | -s_t(A,E,V6).  [resolve(149,d,147,b)].
0.36/0.62	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | s_fs(A,E,V6,B,C,F,insert5(A,E,V6,C,F),D) | -s_col(A,E,V6) | -s_col(A,E,V6) | -s_e(A,E,C,F).  [resolve(149,d,148,b)].
0.36/0.62	150 -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(67)].
0.36/0.62	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_col(E,F,V6) | -s_col(A,B,C).  [resolve(150,b,146,b)].
0.36/0.62	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | -s_e(A,V8,E,V9) | -s_e(B,V8,F,V9) | s_fs(A,B,C,V8,E,F,V6,V9) | -s_col(A,B,C).  [resolve(150,b,149,d)].
0.36/0.62	151 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom).  [clausify(76)].
0.36/0.62	Derived: s_e(A,B,insert(C,A,D,E),E) | -s_e(C,B,D,E) | -s_t(C,A,B).  [resolve(151,a,147,b)].
0.36/0.62	Derived: s_e(A,B,C,insert5(D,A,B,E,C)) | -s_col(D,A,B) | -s_e(D,A,E,C).  [resolve(151,a,148,b)].
0.36/0.62	Derived: s_e(A,B,C,D) | -s_fs(E,A,B,F,V6,C,D,V7).  [resolve(151,a,150,b)].
0.36/0.62	152 -s_e(A,B,C,D) | -s_e(E,B,F,D) | s_e3(A,E,B,C,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom).  [clausify(76)].
0.36/0.62	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | s_col(C,F,D) | -s_col(A,E,B).  [resolve(152,c,146,b)].
0.36/0.62	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | -s_e(A,V6,C,V7) | -s_e(E,V6,F,V7) | s_fs(A,E,B,V6,C,F,D,V7) | -s_col(A,E,B).  [resolve(152,c,149,d)].
0.36/0.62	153 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(76)].
0.36/0.62	Derived: s_e(A,B,C,insert5(A,D,B,C,E)) | -s_col(A,D,B) | -s_e(A,D,C,E).  [resolve(153,a,148,b)].
0.36/0.62	Derived: s_e(A,B,C,D) | -s_fs(A,E,B,F,C,V6,D,V7).  [resolve(153,a,150,b)].
0.36/0.62	154 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(76)].
0.36/0.62	Derived: s_e(A,B,C,insert(A,B,C,D)) | -s_e(A,E,C,D) | -s_t(A,B,E).  [resolve(154,b,147,b)].
0.36/0.62	Derived: s_e(A,B,C,D) | -s_fs(A,B,E,F,C,D,V6,V7).  [resolve(154,b,150,b)].
0.36/0.62	155 -s_t(A,B,C) | s_t(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(86)].
0.36/0.62	Derived: -s_t(A,B,C) | s_t(D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C).  [resolve(155,c,147,b)].
0.36/0.62	Derived: -s_t(A,B,C) | s_t(D,E,insert5(A,B,C,D,E)) | -s_col(A,B,C) | -s_e(A,B,D,E).  [resolve(155,c,148,b)].
0.36/0.62	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7).  [resolve(155,c,150,b)].
0.36/0.62	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,B,D,E).  [resolve(155,c,152,c)].
0.41/0.63	156 -s_e(A,B,A,C) | -s_e(A,D,A,E) | -s_m(B,F,C) | -s_m(D,V6,E) | s_kf(B,F,C,A,E,V6,D) | -s_t(C,A,E) | -s_t(B,A,D) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	157 -le(A,B,A,C) | s_t(D,A,E) | -s_kf(B,D,F,A,V6,E,C) # label(aSatz7_22a) # label(axiom).  [clausify(60)].
0.41/0.63	158 -s_kf(A,B,C,D,E,F,V6) | s_t(A,D,V6) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	159 s_t(A,B,C) | -s_kf(D,E,A,B,C,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	160 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	161 -s_kf(A,B,C,D,E,F,V6) | s_e(D,V6,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	Derived: -s_e(A,B,A,C) | -s_e(A,D,A,E) | -s_m(B,F,C) | -s_m(D,V6,E) | -s_t(C,A,E) | -s_t(B,A,D) | -le(A,B,A,D) | s_t(F,A,V6).  [resolve(156,e,157,c)].
0.41/0.63	162 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	163 s_m(A,B,C) | -s_kf(A,B,C,D,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(82)].
0.41/0.63	164 s_t(A,B,C) | -s_kf(D,A,E,B,F,C,V6) # label(aSatz7_22b) # label(axiom).  [clausify(98)].
0.41/0.63	Derived: s_t(A,B,C) | -s_e(B,D,B,E) | -s_e(B,F,B,V6) | -s_m(D,A,E) | -s_m(F,C,V6) | -s_t(E,B,V6) | -s_t(D,B,F).  [resolve(164,b,156,e)].
0.41/0.63	165 -s_t(A,B,C) | -s_e(A,B,D,E) | -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_t(D,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	166 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	167 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	168 s_e(A,B,C,D) | -s_afs(A,E,F,B,C,V6,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	169 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	170 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	171 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom).  [clausify(95)].
0.41/0.63	172 -perp(A,B,C,D) | D != C.  [resolve(145,a,137,b)].
0.41/0.63	173 perp(A,B,C,D) | B = A | D = C | -s_col(A,B,E) | -s_col(C,D,E) | s_col(A,B,f811(A,B,C,D,E)).  [resolve(144,a,136,a)].
0.41/0.63	174 perp(A,B,C,D) | D = C | -s_col(C,D,E) | -s_r(f811(A,B,C,D,E),E,g811(A,B,C,D,E)) | -s_col(A,B,E) | B = A.  [resolve(144,a,138,a)].
0.41/0.63	175 perp(A,B,C,D) | B = A | -s_col(C,D,E) | s_col(C,D,g811(A,B,C,D,E)) | -s_col(A,B,E) | D = C.  [resolve(144,a,139,a)].
0.41/0.63	176 -perp(A,B,C,D) | -s_col(A,B,E) | s_r(E,il(A,B,C,D),F) | -s_col(C,D,F).  [resolve(145,a,140,d)].
0.41/0.63	Derived: -s_col(A,B,C) | s_r(C,il(A,B,D,E),F) | -s_col(D,E,F) | B = A | E = D | -s_col(A,B,V6) | -s_col(D,E,V6) | s_col(A,B,f811(A,B,D,E,V6)).  [resolve(176,a,173,a)].
0.41/0.63	Derived: -s_col(A,B,C) | s_r(C,il(A,B,D,E),F) | -s_col(D,E,F) | E = D | -s_col(D,E,V6) | -s_r(f811(A,B,D,E,V6),V6,g811(A,B,D,E,V6)) | -s_col(A,B,V6) | B = A.  [resolve(176,a,174,a)].
0.41/0.63	Derived: -s_col(A,B,C) | s_r(C,il(A,B,D,E),F) | -s_col(D,E,F) | B = A | -s_col(D,E,V6) | s_col(D,E,g811(A,B,D,E,V6)) | -s_col(A,B,V6) | E = D.  [resolve(176,a,175,a)].
0.41/0.63	177 -perp(A,B,C,D) | B != A.  [resolve(145,a,141,b)].
0.41/0.63	178 -perp(A,B,C,D) | s_col(C,D,il(A,B,C,D)).  [resolve(145,a,142,b)].
0.41/0.63	Derived: s_col(A,B,il(C,D,A,B)) | D = C | B = A | -s_col(C,D,E) | -s_col(A,B,E) | s_col(C,D,f811(C,D,A,B,E)).  [resolve(178,a,173,a)].
0.41/0.63	Derived: s_col(A,B,il(C,D,A,B)) | B = A | -s_col(A,B,E) | -s_r(f811(C,D,A,B,E),E,g811(C,D,A,B,E)) | -s_col(C,D,E) | D = C.  [resolve(178,a,174,a)].
0.41/0.63	Derived: s_col(A,B,il(C,D,A,B)) | D = C | -s_col(A,B,E) | s_col(A,B,g811(C,D,A,B,E)) | -s_col(C,D,E) | B = A.  [resolve(178,a,175,a)].
0.41/0.63	179 -perp(A,B,C,D) | s_col(A,B,il(A,B,C,D)).  [resolve(145,a,143,b)].
0.41/0.63	Derived: s_col(A,B,il(A,B,C,D)) | B = A | D = C | -s_col(A,B,E) | -s_col(C,D,E) | s_col(A,B,f811(A,B,C,D,E)).  [resolve(179,a,173,a)].
0.41/0.63	Derived: s_col(A,B,il(A,B,C,D)) | D = C | -s_col(C,D,E) | -s_r(f811(A,B,C,D,E),E,g811(A,B,C,D,E)) | -s_col(A,B,E) | B = A.  [resolve(179,a,174,a)].
0.41/0.63	Derived: s_col(A,B,il(A,B,C,D)) | B = A | -s_col(C,D,E) | s_col(C,D,g811(A,B,C,D,E)) | -s_col(A,B,E) | D = C.  [resolve(179,a,175,a)].
0.41/0.63	
0.41/0.63	============================== end predicate elimination =============
4.94/5.14	
4.94/5.14	Auto_denials:  (non-Horn, no changes).
4.94/5.14	
4.94/5.14	Term ordering decisions:
4.94/5.14	Function symbol KB weights:  alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. s=1. pointOffLine=1. c63=1. isomidpoint=1. insert=1. il=1. ext=1. ins=1. f811=1. g811=1. insert5=1. ip=1. crossbar=1.
4.94/5.14	
4.94/5.14	============================== end of process initial clauses ========
4.94/5.14	
4.94/5.14	============================== CLAUSES FOR SEARCH ====================
4.94/5.14	
4.94/5.14	============================== end of clauses for search =============
4.94/5.14	
4.94/5.14	============================== SEARCH ================================
4.94/5.14	
4.94/5.14	% Starting search at 0.05 seconds.
4.94/5.14	
4.94/5.14	Low Water (keep): wt=70.000, iters=3347
4.94/5.14	
4.94/5.14	Low Water (keep): wt=67.000, iters=3399
4.94/5.14	
4.94/5.14	Low Water (keep): wt=54.000, iters=3356
4.94/5.14	
4.94/5.14	Low Water (keep): wt=52.000, iters=3429
4.94/5.14	
4.94/5.14	Low Water (keep): wt=48.000, iters=3335
4.94/5.14	
4.94/5.14	Low Water (keep): wt=47.000, iters=3335
4.94/5.14	
4.94/5.14	Low Water (keep): wt=46.000, iters=3381
4.94/5.14	
4.94/5.14	Low Water (keep): wt=45.000, iters=3337
4.94/5.14	
4.94/5.14	Low Water (keep): wt=43.000, iters=3340
4.94/5.14	
4.94/5.14	Low Water (keep): wt=42.000, iters=3403
4.94/5.14	
4.94/5.14	Low Water (keep): wt=41.000, iters=3371
4.94/5.14	
4.94/5.14	Low Water (keep): wt=40.000, iters=3343
4.94/5.14	
4.94/5.14	Low Water (keep): wt=39.000, iters=3373
4.94/5.14	
4.94/5.14	Low Water (keep): wt=38.000, iters=3342
4.94/5.14	
4.94/5.14	Low Water (keep): wt=36.000, iters=3341
4.94/5.14	
4.94/5.14	Low Water (keep): wt=35.000, iters=3417
4.94/5.14	
4.94/5.14	Low Water (keep): wt=34.000, iters=3384
4.94/5.14	
4.94/5.14	Low Water (keep): wt=33.000, iters=3343
4.94/5.14	
4.94/5.14	Low Water (keep): wt=32.000, iters=3339
4.94/5.14	
4.94/5.14	Low Water (keep): wt=31.000, iters=3380
4.94/5.14	
4.94/5.14	Low Water (keep): wt=30.000, iters=3399
4.94/5.14	
4.94/5.14	Low Water (keep): wt=29.000, iters=3334
4.94/5.14	
4.94/5.14	Low Water (keep): wt=28.000, iters=3366
4.94/5.14	
4.94/5.14	Low Water (keep): wt=27.000, iters=3334
4.94/5.14	
4.94/5.14	Low Water (displace): id=6880, wt=98.000
4.94/5.14	
4.94/5.14	Low Water (displace): id=5589, wt=90.000
4.94/5.14	
4.94/5.14	Low Water (displace): id=12967, wt=20.000
4.94/5.14	
4.94/5.14	Low Water (displace): id=12970, wt=14.000
4.94/5.14	
4.94/5.14	Low Water (keep): wt=26.000, iters=3334
4.94/5.14	
4.94/5.14	Low Water (keep): wt=25.000, iters=3420
4.94/5.14	
4.94/5.14	Low Water (keep): wt=24.000, iters=3335
4.94/5.14	
4.94/5.14	Low Water (displace): id=14618, wt=13.000
4.94/5.14	
4.94/5.14	Low Water (displace): id=14621, wt=12.000
4.94/5.14	
4.94/5.14	Low Water (displace): id=15246, wt=11.000
4.94/5.14	
4.94/5.14	Low Water (keep): wt=23.000, iters=3335
4.94/5.14	
4.94/5.14	Low Water (keep): wt=22.000, iters=3333
4.94/5.14	
4.94/5.14	Low Water (keep): wt=21.000, iters=3344
4.94/5.14	
4.94/5.14	Low Water (keep): wt=20.000, iters=3336
4.94/5.14	
4.94/5.14	Low Water (keep): wt=19.000, iters=3334
4.94/5.14	
4.94/5.14	Low Water (keep): wt=17.000, iters=4694
4.94/5.14	
4.94/5.14	Low Water (keep): wt=16.000, iters=4099
4.94/5.14	
4.94/5.14	Low Water (keep): wt=15.000, iters=3495
4.94/5.14	
4.94/5.14	============================== PROOF =================================
4.94/5.14	% SZS status Theorem
4.94/5.14	% SZS output start Refutation
4.94/5.14	
4.94/5.14	% Proof 1 at 4.48 (+ 0.06) seconds.
4.94/5.14	% Length of proof is 35.
4.94/5.14	% Level of proof is 9.
4.94/5.14	% Maximum clause weight is 18.000.
4.94/5.14	% Given clauses 1784.
4.94/5.14	
4.94/5.14	3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	6 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z,V) | -s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	16 (all Xa all Xb all Xc ((s_e(Xa,Xc,Xa,s(Xb,Xc)) | -s_r(Xa,Xb,Xc)) & (s_r(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,s(Xb,Xc))))) # label(d_Defn8_1) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	21 (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].
4.94/5.14	45 (all Xp all Xq all Xr all Xcs all Xa (-s_e(s(Xa,Xp),s(Xa,Xq),s(Xa,Xr),s(Xa,Xcs)) | s_e(Xp,Xq,Xr,Xcs))) # label(aSatz7_16b) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	85 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	93 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	99 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xd,Xc))) # label(aSatz2_14) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	104 (all Xp all Xq all Xa s_e(Xp,Xq,s(Xa,Xp),s(Xa,Xq))) # label(aSatz7_13) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	107 (all Xa all Xb all Xc all Xd (s_e(Xc,Xd,Xa,Xb) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_2) # label(axiom) # label(non_clause).  [assumption].
4.94/5.14	127 -(all Xa all Xb all Xc (s_r(Xc,Xb,Xa) | -s_r(Xa,Xb,Xc))) # label(aSatz8_2) # label(negated_conjecture) # label(non_clause).  [assumption].
4.94/5.14	185 s_e(A,B,B,A) # label(aA1) # label(axiom).  [clausify(3)].
4.94/5.14	189 -s_e(A,B,C,D) | -s_e(A,B,E,F) | s_e(C,D,E,F) # label(aA2) # label(axiom).  [clausify(6)].
4.94/5.14	200 s_e(A,B,A,s(C,B)) | -s_r(A,C,B) # label(d_Defn8_1) # label(axiom).  [clausify(16)].
4.94/5.14	201 s_r(A,B,C) | -s_e(A,C,A,s(B,C)) # label(d_Defn8_1) # label(axiom).  [clausify(16)].
4.94/5.14	205 -s_e(A,B,C,D) | s_e(B,A,C,D) # label(aSatz2_4) # label(axiom).  [clausify(21)].
4.94/5.14	229 -s_e(s(A,B),s(A,C),s(A,D),s(A,E)) | s_e(B,C,D,E) # label(aSatz7_16b) # label(axiom).  [clausify(45)].
4.94/5.14	268 -s_e(A,B,C,D) | s_e(E,F,C,D) | -s_e(E,F,A,B) # label(aSatz2_3) # label(axiom).  [clausify(85)].
4.94/5.14	278 s(A,s(A,B)) = B # label(aSatz7_7) # label(axiom).  [clausify(93)].
4.94/5.14	282 -s_e(A,B,C,D) | s_e(B,A,D,C) # label(aSatz2_14) # label(axiom).  [clausify(99)].
4.94/5.14	289 s_e(A,B,s(C,A),s(C,B)) # label(aSatz7_13) # label(axiom).  [clausify(104)].
4.94/5.14	294 s_e(A,B,C,D) | -s_e(C,D,A,B) # label(aSatz2_2) # label(axiom).  [clausify(107)].
4.94/5.14	325 -s_r(c3,c2,c1) # label(aSatz8_2) # label(negated_conjecture).  [clausify(127)].
4.94/5.14	326 s_r(c1,c2,c3) # label(aSatz8_2) # label(negated_conjecture).  [clausify(127)].
4.94/5.14	476 -s_e(A,B,C,D) | s_e(C,D,B,A).  [resolve(189,b,185,a)].
4.94/5.14	635 -s_e(s(A,B),C,s(A,D),s(A,E)) | s_e(B,s(A,C),D,E).  [para(278(a,1),229(a,2))].
4.94/5.14	658 s_e(A,B,s(C,D),s(C,E)) | -s_e(A,B,D,E).  [resolve(289,a,268,a)].
4.94/5.14	747 s_e(c1,c3,c1,s(c2,c3)).  [resolve(326,a,200,b)].
4.94/5.14	2147 s_e(c1,s(c2,c3),c1,c3).  [resolve(747,a,294,b)].
4.94/5.14	2637 s_e(s(c2,c3),c1,c1,c3).  [resolve(2147,a,205,a)].
4.94/5.14	17612 s_e(s(c2,c3),c1,s(A,c1),s(A,c3)).  [resolve(658,b,2637,a)].
4.94/5.14	25059 s_e(c3,s(c2,c1),c1,c3).  [resolve(17612,a,635,a)].
4.94/5.14	25095 s_e(c1,c3,s(c2,c1),c3).  [resolve(25059,a,476,a)].
4.94/5.14	25156 s_e(c3,c1,c3,s(c2,c1)).  [resolve(25095,a,282,a)].
4.94/5.14	25343 $F.  [resolve(25156,a,201,b),unit_del(a,325)].
4.94/5.14	
4.94/5.14	% SZS output end Refutation
4.94/5.14	============================== end of proof ==========================
4.94/5.14	
4.94/5.14	============================== STATISTICS ============================
4.94/5.14	
4.94/5.14	Given=1784. Generated=133805. Kept=25149. proofs=1.
4.94/5.14	Usable=1650. Sos=9999. Demods=43. Limbo=35, Disabled=13698. Hints=0.
4.94/5.14	Megabytes=14.89.
4.94/5.14	User_CPU=4.48, System_CPU=0.06, Wall_clock=5.
4.94/5.14	
4.94/5.14	============================== end of statistics =====================
4.94/5.14	
4.94/5.14	============================== end of search =========================
4.94/5.14	
4.94/5.14	THEOREM PROVED
4.94/5.14	% SZS status Theorem
4.94/5.14	
4.94/5.14	Exiting with 1 proof.
4.94/5.14	
4.94/5.14	Process 15720 exit (max_proofs) Sat Jul 14 07:29:45 2018
4.94/5.14	Prover9 interrupted
4.94/5.14	EOF