0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.02/0.23	% Computer   : n158.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 06:15:09 CDT 2018
0.02/0.23	% CPUTime    : 
0.60/0.80	============================== Prover9 ===============================
0.60/0.80	Prover9 (32) version 2009-11A, November 2009.
0.60/0.80	Process 59058 was started by sandbox on n158.star.cs.uiowa.edu,
0.60/0.80	Sat Jul 14 06:15:10 2018
0.60/0.80	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_59026_n158.star.cs.uiowa.edu".
0.60/0.80	============================== end of head ===========================
0.60/0.80	
0.60/0.80	============================== INPUT =================================
0.60/0.80	
0.60/0.80	% Reading from file /tmp/Prover9_59026_n158.star.cs.uiowa.edu
0.60/0.80	
0.60/0.80	set(prolog_style_variables).
0.60/0.80	set(auto2).
0.60/0.80	    % set(auto2) -> set(auto).
0.60/0.80	    % set(auto) -> set(auto_inference).
0.60/0.80	    % set(auto) -> set(auto_setup).
0.60/0.80	    % set(auto_setup) -> set(predicate_elim).
0.60/0.80	    % set(auto_setup) -> assign(eq_defs, unfold).
0.60/0.80	    % set(auto) -> set(auto_limits).
0.60/0.80	    % set(auto_limits) -> assign(max_weight, "100.000").
0.60/0.80	    % set(auto_limits) -> assign(sos_limit, 20000).
0.60/0.80	    % set(auto) -> set(auto_denials).
0.60/0.80	    % set(auto) -> set(auto_process).
0.60/0.80	    % set(auto2) -> assign(new_constants, 1).
0.60/0.80	    % set(auto2) -> assign(fold_denial_max, 3).
0.60/0.80	    % set(auto2) -> assign(max_weight, "200.000").
0.60/0.80	    % set(auto2) -> assign(max_hours, 1).
0.60/0.80	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.60/0.80	    % set(auto2) -> assign(max_seconds, 0).
0.60/0.80	    % set(auto2) -> assign(max_minutes, 5).
0.60/0.80	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.60/0.80	    % set(auto2) -> set(sort_initial_sos).
0.60/0.80	    % set(auto2) -> assign(sos_limit, -1).
0.60/0.80	    % set(auto2) -> assign(lrs_ticks, 3000).
0.60/0.80	    % set(auto2) -> assign(max_megs, 400).
0.60/0.80	    % set(auto2) -> assign(stats, some).
0.60/0.80	    % set(auto2) -> clear(echo_input).
0.60/0.80	    % set(auto2) -> set(quiet).
0.60/0.80	    % set(auto2) -> clear(print_initial_clauses).
0.60/0.80	    % set(auto2) -> clear(print_given).
0.60/0.80	assign(lrs_ticks,-1).
0.60/0.80	assign(sos_limit,10000).
0.60/0.80	assign(order,kbo).
0.60/0.80	set(lex_order_vars).
0.60/0.80	clear(print_given).
0.60/0.80	
0.60/0.80	% formulas(sos).  % not echoed (231 formulas)
0.60/0.80	
0.60/0.80	============================== end of input ==========================
0.60/0.80	
0.60/0.80	% From the command line: assign(max_seconds, 300).
0.60/0.80	
0.60/0.80	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.60/0.80	
0.60/0.80	% Formulas that are not ordinary clauses:
0.60/0.80	1 (all X all Y all Z (-s_e(X,Y,Z,Z) | Y = X)) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	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].
0.60/0.80	3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	4 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	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].
0.60/0.80	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].
0.60/0.80	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].
0.60/0.80	8 (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].
0.60/0.80	9 (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].
0.60/0.80	10 (all Xa all Xp all Xq all Xb (-opposite(Xa,Xp,Xq,Xb) | -samesideline(Xa,Xb,Xp,Xq))) # label(aSatz9_9) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	11 (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].
0.60/0.80	12 (all Xa all Xp all Xb all Xc (Xp = Xa | Xc = Xp | -s_t(Xa,Xp,Xc) | -sameside(Xa,Xp,Xb) | s_t(Xb,Xp,Xc) | Xp = Xb)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	13 (all Xa all Xc all Xp all Xb all Xq ((s_t(Xp,Xq,op(Xq,Xb,Xp,Xc,Xa)) | -s_t(Xb,Xq,Xc) | -s_t(Xa,Xc,Xp)) & (s_t(Xa,op(Xq,Xb,Xp,Xc,Xa),Xb) | -s_t(Xb,Xq,Xc) | -s_t(Xa,Xc,Xp)))) # label(aSatz9_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	14 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | Xb = Xc | -s_r(Xa,Xc,Xb))) # label(aSatz8_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	15 (all Xp all Xq all Xa all Xb all Xc (Xq = Xp | -samesideline(Xa,Xb,Xp,Xq) | -samesideline(Xb,Xc,Xp,Xq) | samesideline(Xa,Xc,Xp,Xq))) # label(aSatz9_13) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	16 (all Xa all Xb all Xp (reflect(Xa,Xb,Xp) = Xp | -s_col(Xa,Xb,Xp) | Xa = Xb)) # label(aSatz10_8b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	17 (all Xa all Xm (Xm != Xa | s_m(Xa,Xm,Xa))) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	18 (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_t(Xb,Xc,Xa) | s_col(Xa,Xb,Xc)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (-s_t(Xa,Xb,Xc) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	19 (all Xc all Xd all Xp all Xa all Xb (Xc = Xd | -s_col(Xc,Xd,Xp) | -s_col(Xa,Xb,Xp) | samesideline(Xa,Xb,Xc,Xd) | s_col(Xc,Xd,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz9_19b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	20 (all Xa all Xb all Xc all Xd (-s_col(Xa,Xb,Xc) | Xa = Xb | s_col(Xa,Xc,Xd) | -s_col(Xa,Xb,Xd))) # label(aext1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	21 (all Xa all Xm (-s_m(Xa,Xm,Xa) | Xa = Xm)) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	22 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xa,Xc) | Xb = Xa)) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	23 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (-opposite(Xa,Xp,Xq,Xc) | -s_col(Xp,Xq,Xcs) | -s_col(Xp,Xq,Xr) | -perp(Xp,Xq,Xa,Xr) | -perp(Xp,Xq,Xc,Xcs) | -s_m(Xr,Xm,Xcs) | -sameside(U,Xr,Xa) | sameside(s(Xm,U),Xcs,Xc) | Xq = Xp)) # label(aSatz9_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	24 (all Xa all Xm all Xb (Xa = Xb | s_m(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | -s_col(Xa,Xm,Xb))) # label(aSatz7_20) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	25 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | s_r(Xa,Xb,s(Xb,Xc)))) # label(aSatz8_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	26 (all Xa all Xb all Xp all Xq (s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq)) | Xa = Xb)) # label(aSatz10_10) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	27 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,Xb) | Xc = Xb)) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	28 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_col(Xa,Xb,Xc) | s_col(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	29 (all Xp all Xq all Xr all Xa (Xp = Xq | -s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xq) | s_col(Xa,Xp,Xq) | Xr = Xp)) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	30 (all Xa all Xb all Xc (Xa = Xb | Xc = Xb | congruent(Xa,Xb,Xc,Xa,Xb,Xc))) # label(aSatz11_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	31 (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].
0.60/0.80	32 (all Xa all Xb all Xp (Xa = Xb | reflect(Xa,Xb,Xp) != Xp | s_col(Xa,Xb,Xp))) # label(aSatz10_8a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	33 (all Xa all Xb all Xc all Xd (Xa = Xb | -s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xb,Xc,Xd) | s_t(Xb,Xd,Xc))) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	34 (all Xa all Xb all Xc all Xp all Xq (Xb = Xa | s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq) | -s_e(Xa,Xp,Xa,Xq) | -s_col(Xa,Xb,Xc))) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	35 (all Xa all Xb all Xp all Xq (Xb = Xa | s_e(Xp,Xq,reflect(Xa,Xb,Xp),reflect(Xa,Xb,Xq)) | -s_col(Xa,Xb,Xp))) # label(aSatz10_10a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	36 (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].
0.60/0.80	37 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xq = Xp)) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	38 (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(axiom) # label(non_clause).  [assumption].
0.60/0.80	39 (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].
0.60/0.80	40 (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].
0.60/0.80	41 (all Xa all Xb all Xc all Xp (-s_m(s(Xa,Xc),Xp,s(Xb,Xc)) | s_r(Xb,Xa,Xp) | -s_r(Xa,Xb,Xc))) # label(aSatz8_20a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	42 (all Xd all Xe all Xd1 all Xa all Xb (-samesideline(Xa,Xb,Xd1,Xe) | samesideline(Xa,Xb,Xd,Xe) | -s_t(Xe,Xd,Xd1) | Xe = Xd)) # label(aLemma9_13c) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	43 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (-s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xd) | -s_col(Xa,Xb,Xe) | s_col(Xp,Xq,Xe) | Xc = Xd | -s_col(Xp,Xq,Xd) | -s_col(Xa,Xb,Xc) | Xp = Xq | Xa = Xb)) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	44 (all Xa all Xb all Xp all Xq all Xc (-perp(Xa,Xb,Xp,Xq) | -s_col(Xa,Xb,Xc) | perpAt(Xa,Xb,Xc,Xp,Xq) | -s_col(Xp,Xq,Xc))) # label(aSatz8_14b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	45 (all Xp all Xa all Xq (s(Xa,Xp) = Xq | -s_m(Xp,Xa,Xq))) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	46 (all Y all Z all X all Y1 all Z1 all U all V ((s_col(Y,Z,X) | -perpAt(Y,Z,X,Y1,Z1)) & (-perpAt(Y,Z,X,Y1,Z1) | Y != Z) & (Y = Z | Z1 = Y1 | -s_col(Y,Z,X) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | perpAt(Y,Z,X,Y1,Z1)) & (Y1 = Z1 | -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | -s_col(Y,Z,X) | Y = Z | perpAt(Y,Z,X,Y1,Z1)) & (perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | -s_col(Y,Z,X) | Y1 = Z1 | Y = Z) & (-perpAt(Y,Z,X,Y1,Z1) | s_r(U,X,V) | -s_col(Y1,Z1,V) | -s_col(Y,Z,U)) & (Y1 != Z1 | -perpAt(Y,Z,X,Y1,Z1)) & (-perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,X)))) # label(d_Defn8_11a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	47 (all Xa all Xb all Xp all Xq (Xb = Xa | samesideline(Xq,Xp,Xa,Xb) | -samesideline(Xp,Xq,Xa,Xb))) # label(aLemma9_13d) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	48 (all Xa all Xp s(Xa,s(Xa,Xp)) = Xp) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	49 (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].
0.60/0.80	50 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | -le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	51 (all Xa all Xb all Xc (congruent(Xa,Xb,Xc,Xc,Xb,Xa) | Xb = Xc | Xb = Xa)) # label(aSatz11_9) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	52 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_r(Xa,Xb,Xc) | -s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_r(Xa1,Xb1,Xc1))) # label(aSatz10_12) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	53 (all Xa all Xb all Xc all Xd all Xp (-s_col(Xa,Xp,Xc) | s_m(Xa,Xp,Xc) | -s_col(Xb,Xp,Xd) | -s_e(Xb,Xc,Xd,Xa) | -s_e(Xa,Xb,Xc,Xd) | Xb = Xd | s_col(Xa,Xb,Xc))) # label(aSatz7_21) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	54 (all Xa1 all Xb all Xa all Xc1 all Xc all Xd1 all Xe all Xd all Xf1 all Xf (-sameside(Xa1,Xb,Xa) | -sameside(Xf1,Xe,Xf) | -s_e3(Xa1,Xb,Xc1,Xd1,Xe,Xf1) | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | -sameside(Xd1,Xe,Xd) | -sameside(Xc1,Xb,Xc))) # label(aSatz11_3d) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	55 (all Xq all Xa all Xd all Xb all Xc (-s_e(Xa,Xd,Xb,Xc) | Xd = ext(Xq,Xa,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xq = Xa)) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	56 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xc,Xa,Xb) | s_t(Xc,Xd,Xb) | s_t(Xd,Xc,Xb) | -s_t(Xd,Xa,Xb))) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	57 (all Xa all Xp all Xb all Xq all Xt (-s_t(Xp,Xt,Xq) | -s_col(Xa,Xb,Xt) | s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb) | -perp(Xa,Xb,Xb,Xq) | -perp(Xa,Xb,Xa,Xp) | -le(Xa,Xp,Xb,Xq))) # label(aSatz8_22b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	58 (all Xb all Xc all Xa (Xb = Xc | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	59 (all Xr all Xa all Xb all Xc all Xp all Xq (Xr = Xa | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xq,Xb,Xc) | Xp = Xq | -s_e(Xa,Xp,Xb,Xc) | -sameside(Xp,Xa,Xr) | Xb = Xc)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	60 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U all V (-opposite(Xa,Xp,Xq,Xc) | -s_col(Xp,Xq,Xcs) | -s_col(Xp,Xq,Xr) | -perp(Xp,Xq,Xa,Xr) | -perp(Xp,Xq,Xc,Xcs) | -s_m(Xr,Xm,Xcs) | -sameside(U,Xr,Xa) | -sameside(V,Xcs,Xc) | opposite(U,Xp,Xq,V) | Xq = Xp)) # label(aSatz9_4c) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	61 (all Xa all Xb all Xd all Xc (s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	62 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-s_e(Xa,Xb,Xa1,Xb1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xc,Xd,Xc1,Xd1) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	63 (all Xa all Xp all Xq all Xc all Xb (-opposite(Xa,Xp,Xq,Xc) | -samesideline(Xa,Xb,Xp,Xq) | opposite(Xb,Xp,Xq,Xc))) # label(aSatz9_8) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	64 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((s_col(Xa,Xb,Xc) | s_col(Xa1,Xb1,Xp) | -s_e(Xa,Xb,Xa1,Xb1) | samesideline(triangle(Xa,Xb,Xc,Xa1,Xb1,Xp),Xp,Xa1,Xb1) | Xa = Xb) & (Xa = Xb | s_col(Xa,Xb,Xc) | -s_e(Xa,Xb,Xa1,Xb1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,triangle(Xa,Xb,Xc,Xa1,Xb1,Xp)) | s_col(Xa1,Xb1,Xp)))) # label(aSatz10_16a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	65 (all Xa all Xp (Xp = s(Xa,Xp) | Xp != Xa)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	66 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | s_r(Xc,Xb,Xa))) # label(aSatz8_2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	67 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc))) # label(aSatz3_5a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	68 (all Xa all Xb all Xp all Xq all Xc all Xd (-s_col(Xa,Xb,Xp) | Xa = Xb | perp(Xp,Xq,Xc,Xd) | -perp(Xa,Xb,Xc,Xd) | Xp = Xq | -s_col(Xa,Xb,Xq))) # label(aExtPerp5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	69 (all Xa all Xb all Xc all XA all XB all XC (-s_t(Xa,Xb,Xc) | -s_t(XA,XB,XC) | -s_e(Xa,Xb,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	70 (all Xa all Xb all Xp (reflect(Xa,Xb,reflect(Xa,Xb,Xp)) = Xp | Xa = Xb)) # label(aSatz10_5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	71 (all Xa all Xb s_r(Xa,Xb,Xb)) # label(aSatz8_5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	72 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((-s_e(Xa,Xd,Xa1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc)) & (s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-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_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (-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].
0.60/0.80	73 (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_e(Xa,Xb,Xc,Y) | le(Xa,Xb,Xc,Xd) | -s_t(Xc,Y,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].
0.60/0.80	74 (all Xa all Xb all Xp all Xq all Xu all Xc all Xv ((s_col(Xp,Xq,ss1(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (ss2(Xa,Xb,Xp,Xq) != Xb | -samesideline(Xa,Xb,Xp,Xq)) & (ss3(Xa,Xb,Xp,Xq) != ss1(Xa,Xb,Xp,Xq) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | ss2(Xa,Xb,Xp,Xq) != ss3(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | -s_col(Xp,Xq,Xa)) & (-samesideline(Xa,Xb,Xp,Xq) | -s_col(Xp,Xq,Xb)) & (-s_t(Xa,Xu,Xc) | -s_col(Xp,Xq,Xu) | -s_col(Xp,Xq,Xv) | Xq = Xp | Xu = Xc | s_col(Xp,Xq,Xa) | s_col(Xp,Xq,Xb) | samesideline(Xa,Xb,Xp,Xq) | Xb = Xv | Xa = Xu | Xv = Xc | -s_t(Xb,Xv,Xc)) & (Xp != Xq | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | ss1(Xa,Xb,Xp,Xq) != Xa) & (s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq))))) # label(d_Defn9_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	75 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | -s_e(Xa,Xb,Xa1,Xb1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	76 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-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(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xb,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	77 (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].
0.60/0.80	78 (all Xa all Xp all Xq all Xb (-opposite(Xa,Xp,Xq,Xb) | opposite(Xb,Xp,Xq,Xa))) # label(aSatz9_2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	79 (all Xa all Xp all Xb all Xc (sameside(Xa,Xp,Xb) | Xp = Xb | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xp = Xc | Xa = Xp)) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	80 (all Xa all Xb all Xc all Xp all Xq (-perpAt(Xa,Xb,Xc,Xp,Xq) | Xc = il(Xa,Xb,Xp,Xq))) # label(aSatz8_14c) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	81 (all Xa all Xb all Xc all Xp all Xq (-samesideline(Xp,Xq,Xa,Xb) | samesideline(Xp,Xq,Xa,Xc) | Xc = Xa | Xa = Xb | -s_col(Xa,Xb,Xc))) # label(aExtSameSide1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	82 (all Xa1 all Xb all Xa2 all Xc1 all Xc2 all Xd1 all Xe all Xd2 all Xf1 all Xf2 all Xa all Xc all Xd all Xf (-sameside(Xc1,Xb,Xc2) | -sameside(Xf1,Xe,Xf2) | -s_e3(Xa1,Xb,Xc1,Xd1,Xe,Xf1) | Xb = Xa | Xd = Xe | Xf = Xe | -sameside(Xa2,Xb,Xa) | -sameside(Xc2,Xb,Xc) | -sameside(Xf2,Xe,Xf) | -s_e(Xb,Xc2,Xe,Xf2) | s_e(Xa2,Xc2,Xd2,Xf2) | -s_e(Xb,Xa2,Xe,Xd2) | -sameside(Xd2,Xe,Xd) | Xc = Xb | -sameside(Xd1,Xe,Xd2) | -sameside(Xa1,Xb,Xa2))) # label(aSatz11_4d) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	83 (all Xp all Xa all Xb all Xq all Xt all Xr (-perp(Xp,Xa,Xa,Xb) | -perp(Xq,Xb,Xa,Xb) | -s_col(Xa,Xb,Xt) | -s_t(Xp,Xt,Xq) | -s_t(Xb,Xr,Xq) | -s_e(Xa,Xp,Xb,Xr) | s_m(Xp,midpoint(Xa,Xb),Xr))) # label(aSatz8_24) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	84 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xa = Xp)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	85 (all Xa all Xb all Xp all Xq (-perp(Xa,Xb,Xp,Xq) | perp(Xa,Xb,Xq,Xp))) # label(aExtPerp4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	86 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xc,Xd) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	87 (all Xa all Xb all Xc all Xp (-s_r(Xa,Xb,Xc) | -s_m(s(Xa,Xc),Xp,s(Xb,Xc)) | Xa != Xp | Xb = Xc)) # label(aSatz8_20b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	88 (all Xa all Xb all Xc all Xp all Xq ((-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,Xc)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc))) & (s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc)) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (Xc != g813(Xa,Xb,Xp,Xq,Xc) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (Xc != f813(Xa,Xb,Xp,Xq,Xc) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (s_col(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc)) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xa,Xb,Xc)) & (Xq != Xp | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (Xb != Xa | -perpAt(Xa,Xb,Xc,Xp,Xq)))) # label(aSatz8_13a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	89 (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].
0.60/0.80	90 (all Xa all Xb all Xc all Xd all Xe all Xf all Xa2 all Xc2 all Xd2 all Xf2 (-congruent(Xa,Xb,Xc,Xd,Xe,Xf) | -sameside(Xa2,Xb,Xa) | -sameside(Xd2,Xe,Xd) | -s_e(Xb,Xc2,Xe,Xf2) | s_e(Xa2,Xc2,Xd2,Xf2) | -s_e(Xb,Xa2,Xe,Xd2) | -sameside(Xf2,Xe,Xf) | -sameside(Xc2,Xb,Xc))) # label(aSatz11_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	91 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -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].
0.60/0.80	92 (all Xa all Xb all Xc all Xp all Xq (perpAt(Xp,Xq,Xc,Xa,Xb) | -perpAt(Xa,Xb,Xc,Xp,Xq))) # label(aSatz8_12a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	93 (all Xa all Xp all Xq all Xc all Xm all Xr all Xb (-opposite(Xa,Xp,Xq,Xc) | -s_col(Xp,Xq,Xm) | -s_m(Xa,Xm,Xc) | opposite(Xb,Xp,Xq,Xc) | -sameside(Xa,Xr,Xb) | -s_col(Xp,Xq,Xr))) # label(aSatz9_3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	94 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	95 (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].
0.60/0.80	96 (all Xa all Xb all Xc all Xa1 all Xc1 (-s_r(Xa,Xb,Xc) | -s_r(Xa1,Xb,Xc1) | -s_e(Xa,Xb,Xa1,Xb) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb,Xc1))) # label(aSatz10_12a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	97 (all Xa all Xb s_m(Xa,midpoint(Xa,Xb),Xb)) # label(aSatz8_22) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	98 (all Xa all Xb all Xp all Xq all Xr all Xc all Xd (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | perpAt(Xa,Xb,Xr,Xc,Xd) | -perpAt(Xp,Xq,Xr,Xc,Xd) | Xb = Xa | Xp = Xq)) # label(aExtPerp) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	99 (all Xa all Xp all Xq all Xb all Xc (-opposite(Xa,Xp,Xq,Xb) | opposite(Xa,Xp,Xq,Xc) | -samesideline(Xb,Xc,Xp,Xq))) # label(aLemma9_13e) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	100 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_r(Xa,Xb,Xc) | s_r(Xa1,Xb1,Xc1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz8_10) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	101 (all Xa all Xb all Xc all Xd all Xe all Xp ((s_col(Xa,Xb,Xc) | samesideline(constructAngle(Xa,Xb,Xc,Xd,Xe,Xp),Xp,Xd,Xe) | s_col(Xd,Xe,Xp)) & (s_col(Xd,Xe,Xp) | congruent(Xa,Xb,Xc,Xd,Xe,constructAngle(Xa,Xb,Xc,Xd,Xe,Xp)) | s_col(Xa,Xb,Xc)))) # label(aSatz11_15a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	102 (all Xa all Xb all Xp all Xp1 (reflect(Xa,Xb,Xp1) = Xp | reflect(Xa,Xb,Xp) != Xp1 | Xa = Xb)) # label(aSatz10_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	103 (all Xa all Xb all Xp all Xq all Xc (Xa = Xb | -s_col(Xa,Xb,Xq) | perp(Xa,Xb,Xc,Xp) | -s_r(Xc,Xp,Xq) | s_col(Xa,Xb,Xc) | Xq = Xp | -s_col(Xa,Xb,Xp))) # label(aSatz8_16b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	104 (all Xp all Xq all Xr all Xcs (Xp = Xq | s_col(Xp,Xq,Xcs) | opposite(Xr,Xp,Xq,Xcs) | foot(Xp,Xq,Xr) != Xp | samesideline(Xr,Xcs,Xp,Xq) | s_col(Xp,Xq,Xr))) # label(aLemma9_13f_case1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	105 (all Xa all Xb all Xp all Xq all Xr (-sameside(Xa,Xq,Xr) | samesideline(Xr,Xb,Xp,Xq) | -samesideline(Xa,Xb,Xp,Xq))) # label(aSatz9_16) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	106 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xq) | Xq = Xr | -s_m(Xp,Xa,Xr))) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	107 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | s_t(Xc,Xb,Xa))) # label(aSatz3_2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	108 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_col(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	109 (all Xp all Xq all Xr (s_col(Xq,Xp,Xr) | -s_col(Xp,Xq,Xr) | Xp = Xq)) # label(aSatz6_17b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	110 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	111 (all Xa all Xp all Xq all Xc all Xm all Xr all Xb (-s_m(Xa,Xm,Xc) | opposite(Xb,Xp,Xq,Xc) | -s_t(Xr,Xb,Xa) | -sameside(Xa,Xr,Xb) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xm) | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_3a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	112 (all Xa all Xp all Xb (sameside(Xb,Xp,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	113 (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,Xd,Za,Zd)) & (-s_t(Za,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(Xb,Xc,Zb,Zc) | -s_e(Xa,Xb,Za,Zb) | -s_t(Xa,Xb,Xc)) & (s_e(Xb,Xd,Zb,Zd) | -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,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-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].
0.60/0.80	114 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,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_e(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	115 (all Xa all Xp (Xa = Xp | s(Xa,Xp) != Xp)) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	116 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xa,Xc,Xb))) # label(aSatz4_11e) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	117 (all Xa all Xp all Xb all Xc (Xb = Xp | -s_t(Xa,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xb,Xp,Xc) | Xp = Xc | Xa = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	118 (all Xa all Xb all Xc all Xd all Xe all Xf (-congruent(Xa,Xb,Xc,Xd,Xe,Xf) | congruent(Xd,Xe,Xf,Xa,Xb,Xc))) # label(aSatz11_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	119 (all Xa all Xp all Xq (Xq = Xp | s(Xa,Xp) != s(Xa,Xq))) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	120 (all Xa all Xb all Xp (Xa = Xb | s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)))) # label(aSatz7_19) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	121 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (-s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_m(Xa1,Xm1,Xb1) | -s_e(Xc,Xa2,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2)) & (s_m(Xa1,Xm1,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_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa1,Xc,Xb1)) & (s_t(Xb1,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (s_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	122 (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].
0.60/0.80	123 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	124 (all Xp all Xq all Xc all Xa all Xb (Xq = Xp | -perpAt(Xp,Xq,Xc,Xa,Xc) | Xa = Xc | s_col(Xc,Xa,Xb) | -perpAt(Xp,Xq,Xc,Xb,Xc))) # label(aLemma9_13g) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	125 (all Xp all Xq all Xr all Xcs (Xq = Xp | s_col(Xp,Xq,Xcs) | opposite(Xr,Xp,Xq,Xcs) | foot(Xp,Xq,Xr) = Xp | samesideline(Xr,Xcs,Xp,Xq) | s_col(Xp,Xq,Xr))) # label(aLemma9_13f_case2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	126 (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].
0.60/0.80	127 (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) | ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	128 (all Xa all Xb all Xp ((Xa = Xb | Xp = reflect(Xa,Xb,Xp) | perp(Xa,Xb,Xp,reflect(Xa,Xb,Xp))) & (s_col(Xa,Xb,midpoint(Xp,reflect(Xa,Xb,Xp))) | Xb = Xa))) # label(aSatz10_2a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	129 (all Xp all Xq all Xcs all Xr (s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xcs) | Xp = Xcs | Xq = Xp)) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	130 (all Xa all Xb all Xp all Xq (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | -perp(Xa,Xb,Xp,Xq))) # label(aSatz8_14a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	131 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	132 (all Xb all Xc all Xa all Xq ((Xb = Xc | -s_col(Xb,Xc,Xa) | perp(Xb,Xc,erectsameside(Xb,Xc,Xa,Xq),Xa) | s_col(Xb,Xc,Xq)) & (Xb = Xc | s_col(Xb,Xc,Xq) | samesideline(erectsameside(Xb,Xc,Xa,Xq),Xq,Xb,Xc) | -s_col(Xb,Xc,Xa)))) # label(aSatz10_15) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	133 (all Xa all Xp all Xb all Xc (-sameside(Xa,Xp,Xb) | -sameside(Xb,Xp,Xc) | sameside(Xa,Xp,Xc))) # label(aSatz6_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	134 (all Xa all Xb all Xc all Xd all Xp (Xb = Xa | -s_col(Xc,Xd,Xp) | s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xd) | -s_col(Xa,Xb,Xc) | Xc = Xd)) # label(aExtCol2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	135 (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].
0.60/0.80	136 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_e(Xa,Xc,Xa1,Xc1) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_t(Xa,Xb,Xc)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	137 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	138 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xb,Xa,Xb1,Xa1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -sameside(Xa1,Xb1,Xc1) | -sameside(Xa,Xb,Xc))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	139 (all Xa all Xp all Xr all Xq (Xp = Xq | Xr != s(Xa,Xq) | Xr != s(Xa,Xp))) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	140 (all Xa all Xb all Xc all Xa1 (-s_r(Xa,Xb,Xc) | Xa = Xb | -s_col(Xb,Xa,Xa1) | s_r(Xa1,Xb,Xc))) # label(aSatz8_3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	141 (all Xa all Xb all Xc all Xd all Xe all Xf ((-congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(ext(Xb,Xa,Xe,Xd),Xb,Xa)) & (-congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(ext(Xb,Xc,Xe,Xf),Xb,Xc)) & (-congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(ext(Xe,Xd,Xb,Xa),Xe,Xd)) & (sameside(ext(Xe,Xf,Xb,Xc),Xe,Xf) | -congruent(Xa,Xb,Xc,Xd,Xe,Xf)) & (s_e3(ext(Xb,Xa,Xe,Xd),Xb,ext(Xb,Xc,Xe,Xf),ext(Xe,Xd,Xb,Xa),Xe,ext(Xe,Xf,Xb,Xc)) | -congruent(Xa,Xb,Xc,Xd,Xe,Xf)))) # label(aSatz11_3a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	142 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xb,Xa,Xb1,Xa1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -congruent(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz11_49a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	143 (all Xa all Xb all U all V all W (-s_m(U,V,W) | -s_col(Xa,Xb,U) | -s_col(Xa,Xb,W) | s_col(Xa,Xb,V) | Xb = Xa)) # label(aLemma9_13b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	144 (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].
0.60/0.80	145 (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].
0.60/0.80	146 (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].
0.60/0.80	147 (all Xa all Xb all Xp all Xq all Xc ((Xa = Xb | s_r(Xc,Xp,Xq) | -perp(Xa,Xb,Xc,Xp) | Xq = Xp | -s_col(Xa,Xb,Xq) | -s_col(Xa,Xb,Xp)) & (Xa = Xb | -s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | Xp = Xq | -perp(Xa,Xb,Xc,Xp) | -s_col(Xa,Xb,Xc)))) # label(aSatz8_16a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	148 (all Xp all Xq all Xa all Xb all Xt ((-s_col(Xp,Xq,Xt) | opposite(Xa,Xp,Xq,Xb) | -s_t(Xa,Xt,Xb) | s_col(Xp,Xq,Xb) | s_col(Xp,Xq,Xa) | Xq = Xp) & (-s_col(Xp,Xq,Xa) | -opposite(Xa,Xp,Xq,Xb)) & (-s_col(Xp,Xq,Xb) | -opposite(Xa,Xp,Xq,Xb)) & (s_col(Xp,Xq,il(Xa,Xb,Xp,Xq)) | -opposite(Xa,Xp,Xq,Xb)) & (s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | -opposite(Xa,Xp,Xq,Xb)))) # label(d_Defn9_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	149 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp all Xc1 all Xc2 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc2) | Xc2 = Xc1 | -samesideline(Xc2,Xp,Xa1,Xb1) | -samesideline(Xc1,Xp,Xa1,Xb1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | s_col(Xa1,Xb1,Xp) | s_col(Xa,Xb,Xc) | Xb = Xa)) # label(aSatz10_16b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	150 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xb != Xp) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) & (-s_t(Xp,Xa,Xb) | sameside(Xa,Xp,Xb) | Xp = xb | Xa = Xp) & (sameside(Xa,Xp,Xb) | Xb = Xp | Xa = Xp | -s_t(Xp,Xb,Xa)) & (Xp != Xa | -sameside(Xa,Xp,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	151 (all Xa all Xb all Xd all Xc (Xb = Xa | -s_col(Xa,Xb,Xd) | perpAt(Xa,Xb,Xd,Xc,Xd) | -perp(Xa,Xb,Xc,Xd))) # label(aSatz8_15) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	152 (all Xa all Xb all Xp all Xp1 (Xb = Xa | Xp1 != reflect(Xa,Xb,Xp) | reflect(Xa,Xb,Xp1) = Xp)) # label(aSatz10_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	153 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (-opposite(Xa,Xp,Xq,Xc) | Xp = Xq | -s_col(Xp,Xq,Xcs) | -s_col(Xp,Xq,Xr) | -s_m(Xr,Xm,Xcs) | sameside(U,Xr,Xa) | Xr = Xcs | -sameside(s(Xm,U),Xcs,Xc) | -le(Xcs,Xc,Xr,Xa) | -perp(Xp,Xq,Xc,Xcs) | -perp(Xp,Xq,Xa,Xr))) # label(aSatz9_4a2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	154 (all Xa all Xb all Xc all Xp all Xq (s_col(Xa,Xb,Xc) | -s_col(Xa,Xb,Xq) | -perp(Xa,Xb,Xc,Xp) | -perp(Xa,Xb,Xc,Xq) | Xp = Xq | -s_col(Xa,Xb,Xp))) # label(aSatz8_18a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	155 (all Xa all Xb all Xc all Xd (-le(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xa,Xb) | s_e(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	156 (all Xp all Xq all Xr all Xa (Xp = Xq | -s_t(Xq,Xp,Xr) | Xp = Xa | sameside(Xa,Xp,Xr) | sameside(Xa,Xp,Xq) | -s_col(Xa,Xp,Xq) | Xr = Xp)) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	157 (all Xa all Xb all Xp all Xq all Xr (-s_col(Xp,Xq,Xa) | -s_col(Xp,Xq,Xr) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xb) | Xp = Xq | Xb = Xa)) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	158 (all Xa all Xb all Xc all Xc1 (Xa = Xb | -s_col(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1 | -s_e(Xa,Xc,Xa,Xc1))) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	159 (all Xa all Xc all Xb all Xc1 (-s_e(Xa,Xc,Xa,Xc1) | -s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	160 (all Xa all Xb all Xp all Xq (-samesideline(Xp,Xq,Xa,Xb) | samesideline(Xp,Xq,Xb,Xa) | Xa = Xb)) # label(aExtSameSide2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	161 (all Xa all Xp all Xb (Xa = Xb | s(Xb,Xp) != s(Xa,Xp))) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	162 (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].
0.60/0.80	163 (all Xa all Xb (Xb = Xa | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.60/0.80	164 (all Xa all Xb all Xp all Xq all Xcx all U all V (Xq = Xp | -s_col(Xp,Xq,Xcx) | -s_col(Xa,Xb,U) | Xcx = U | Xcx = V | -s_r(U,Xcx,V) | perpAt(Xa,Xb,Xcx,Xp,Xq) | -s_col(Xp,Xq,V) | -s_col(Xa,Xb,Xcx) | Xa = Xb)) # label(aSatz8_13b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	165 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (-s_col(Xp,Xq,Xcs) | -s_col(Xp,Xq,Xr) | -perp(Xp,Xq,Xa,Xr) | -perp(Xp,Xq,Xc,Xcs) | -sameside(U,Xr,Xa) | sameside(s(Xm,U),Xcs,Xc) | Xcs = Xr | -le(Xcs,Xc,Xr,Xa) | -s_m(Xr,Xm,Xcs) | Xq = Xp | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_4a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	166 (all Xa all Xb all Xp all Xp1 (opposite(Xp,Xa,Xb,Xp1) | s_col(Xa,Xb,Xp) | Xp1 != reflect(Xa,Xb,Xp) | Xa = Xb)) # label(aSatz10_14) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	167 (all Xa all Xb all Xc all Xa1 all Xc1 (-s_r(Xa1,Xb,Xc1) | -s_e(Xa,Xb,Xa1,Xb) | s_e(Xa,Xc,Xa1,Xc1) | Xb != midpoint(Xc,Xc1) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_r(Xa,Xb,Xc))) # label(aSatz10_12c) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	168 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	169 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xb != Xp) & (c63(Xa,Xp,Xb) != Xp | -sameside(Xa,Xp,Xb)) & (s_t(Xa,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | Xp != Xa))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	170 (all Xa all Xb all Xc all Xm (-sameside(Xa,Xb,Xc) | sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc)))) # label(aSideReflect) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	171 (all Xa1 all Xb1 all Xc1 all Xa2 all Xb2 all Xc2 all Xa3 all Xb3 all Xc3 (-congruent(Xa2,Xb2,Xc2,Xa3,Xb3,Xc3) | congruent(Xa1,Xb1,Xc1,Xa3,Xb3,Xc3) | -congruent(Xa1,Xb1,Xc1,Xa2,Xb2,Xc2))) # label(aSatz11_8) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	172 (all Xa all Xb all Xc all Xa1 (-s_r(Xa,Xb,Xc) | -s_r(Xa1,Xb,Xc) | -s_t(Xa,Xc,Xa1) | Xb = Xc)) # label(aSatz8_6) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	173 (all Xp all Xq all Xr all Xa (Xp = Xr | -s_t(Xq,Xp,Xr) | Xp != Xa | s_col(Xa,Xp,Xq) | Xq = Xp)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	174 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 (s_t(Xm1,Xc,Xm2) | -le(Xc,Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2))) # label(aSatz7_22a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	175 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	176 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | Xb = Xa | Xc = Xb | -s_col(Xa,Xb,Xc))) # label(aSatz8_9) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	177 (all Xa all Xm all Xb ((-s_m(Xa,Xm,Xb) | s_t(Xa,Xm,Xb)) & (s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	178 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xr) | -s_t(Xq,Xp,Xr) | Xp = Xr | Xq = Xp)) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	179 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	180 (all Xa all Xb all Xc all Xa1 (-s_e(Xa,Xb,Xa1,Xb) | s_e(Xa,Xc,Xa1,Xc) | -s_r(Xa1,Xb,Xc) | -s_r(Xa,Xb,Xc))) # label(aSatz10_12b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	181 (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].
0.60/0.81	182 (all Xp all Xq all Xr all Xcs (samesideline(Xr,Xcs,Xp,Xq) | opposite(Xr,Xp,Xq,Xcs) | s_col(Xp,Xq,Xcs) | s_col(Xp,Xq,Xr) | Xp = Xq)) # label(aLemma9_13f) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	183 (all Xa all Xb all Xp all Xq (perp(Xb,Xa,Xp,Xq) | -perp(Xa,Xb,Xp,Xq))) # label(aperp1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	184 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	185 (all Xa all Xb all Xc all Xd (Xc = Xb | Xd = Xa | -perp(Xb,Xa,Xa,Xc) | perp(Xb,Xa,Xa,Xd) | -s_col(Xa,Xc,Xd) | Xc = Xd | Xa = Xc | Xa = Xb)) # label(aExtPerp3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	186 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | s_col(Xa,Xb,foot(Xa,Xb,Xc))) & (perp(Xa,Xb,Xc,foot(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)))) # label(aSatz8_18) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	187 (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].
0.60/0.81	188 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa,Xb,Xc))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	189 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	190 (all Xa all Xb all Xc ((Xa = Xb | s_col(Xa,Xb,Xc) | perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa)) & (Xa = Xb | s_col(Xa,Xb,Xc) | s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc))) & (Xa = Xb | s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)))) # label(aSatz8_21a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	191 (all Xa all Xb all Xc all Xd (s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc) | Xa = Xb)) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	192 (all Xa all Xb (Xa = Xb | -s_r(Xa,Xb,Xa))) # label(aSatz8_8) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	193 (all Xa all Xb all Xp all Xp1 ((Xb = Xa | -perp(Xa,Xb,Xp,Xp1) | reflect(Xa,Xb,Xp) = Xp1 | -s_col(Xa,Xb,midpoint(Xp,Xp1))) & (-s_col(Xa,Xb,midpoint(Xp,Xp1)) | Xp1 = reflect(Xa,Xb,Xp) | Xp != Xp1 | Xa = Xb))) # label(aSatz10_2b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	194 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	195 (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].
0.60/0.81	196 (all Xa all Xb all Xp all Xq all Xc all Xd (-s_col(Xa,Xb,Xp) | -s_col(Xa,Xb,Xq) | Xp = Xq | Xa = Xb | perp(Xa,Xb,Xc,Xd) | -perp(Xp,Xq,Xc,Xd))) # label(aExtPerp2) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	197 (all Xa all Xp all Xq all Xc all Xr all Xb (-opposite(Xa,Xp,Xq,Xc) | -s_col(Xp,Xq,Xr) | -sameside(Xa,Xr,Xb) | opposite(Xb,Xp,Xq,Xc))) # label(aSatz9_5) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	198 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-perp(Xp,Xa,Xa,Xb) | -perp(Xq,Xb,Xa,Xb) | -s_t(Xb,Xr,Xq) | -s_e(Xa,Xp,Xb,Xr) | s_m(Xa,Xcx,Xb) | ip(Xp,Xt,Xq,Xb,Xr) != Xcx | -s_t(Xp,Xt,Xq) | -s_col(Xa,Xb,Xt))) # label(aSatz8_24a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	199 (all Xa all Xb all Xc all Xd (le(Xc,Xd,Xa,Xb) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_10) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	200 (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].
0.60/0.81	201 (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,Xd,Za,Zd)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Za,Zc) | -s_e(Xb,Xc,Zb,Zc) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xc,Xd,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_t(Za,Zb,Zc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xc,Xd,Zc,Zd)) & (s_e(Xb,Xc,Zb,Zc) | -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_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	202 (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].
0.60/0.81	203 (all Xa all Xp all Xb (sameside(Xa,Xp,Xb) | s_t(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	204 (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_15a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	205 (all Xa all Xb all Xc all Xd all Xe all Xf ((Xb = Xc | Xe = Xd | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(f113a(Xa,Xb,Xc,Xd,Xe,Xf),Xb,Xa) | Xf = Xe | Xb = Xa) & (Xb = Xa | sameside(f113d(Xa,Xb,Xc,Xd,Xe,Xf),Xe,Xd) | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | Xf = Xe | Xd = Xe | Xc = Xb) & (s_e(Xb,f113c(Xa,Xb,Xc,Xd,Xe,Xf),Xe,f113f(Xa,Xb,Xc,Xd,Xe,Xf)) | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | Xe = Xf | Xd = Xe | Xb = Xc | Xb = Xa) & (Xd = Xe | Xf = Xe | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | -s_e(f113a(Xa,Xb,Xc,Xd,Xe,Xf),f113c(Xa,Xb,Xc,Xd,Xe,Xf),f113d(Xa,Xb,Xc,Xd,Xe,Xf),f113f(Xa,Xb,Xc,Xd,Xe,Xf)) | Xc = Xb | Xa = Xb) & (Xd = Xe | Xf = Xe | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | s_e(Xb,f113a(Xa,Xb,Xc,Xd,Xe,Xf),Xe,f113d(Xa,Xb,Xc,Xd,Xe,Xf)) | Xb = Xc | Xa = Xb) & (Xa = Xb | congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(f113f(Xa,Xb,Xc,Xd,Xe,Xf),Xe,Xf) | Xf = Xe | Xd = Xe | Xc = Xb) & (congruent(Xa,Xb,Xc,Xd,Xe,Xf) | sameside(f113c(Xa,Xb,Xc,Xd,Xe,Xf),Xb,Xc) | Xf = Xe | Xd = Xe | Xb = Xc | Xb = Xa))) # label(aSatz11_4b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	206 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-perp(Xq,Xb,Xa,Xb) | -s_t(Xp,Xt,Xq) | s_m(Xp,Xcx,Xr) | ip(Xp,Xt,Xq,Xb,Xr) != Xcx | -s_e(Xa,Xp,Xb,Xr) | -s_t(Xb,Xr,Xq) | -s_col(Xa,Xb,Xt) | -perp(Xp,Xa,Xa,Xb))) # label(aSatz8_24b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	207 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xb) | -s_t(Xa,Xc,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	208 (all Xa all Xb all Xp all Xq (Xq = Xp | reflect(Xa,Xb,Xp) != reflect(Xa,Xb,Xq) | Xa = Xb)) # label(aSatz10_7) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	209 (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].
0.60/0.81	210 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xd) | Xb = Xc | -s_t(Xb,Xc,Xd))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	211 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (-opposite(Xa,Xp,Xq,Xc) | -perp(Xp,Xq,Xa,Xr) | -sameside(U,Xr,Xa) | Xr != Xcs | sameside(s(Xm,U),Xcs,Xc) | -s_m(Xr,Xm,Xcs) | -perp(Xp,Xq,Xc,Xcs) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xcs) | Xp = Xq)) # label(aSatz9_4b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	212 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	213 (all Xp all Xq all Xa all Xb (samesideline(Xp,Xq,Xb,Xa) | -samesideline(Xp,Xq,Xa,Xb))) # label(aLemma9_13a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	214 (all Xp all Xa all Xq all Xb (-s_m(Xp,Xa,Xq) | -s_m(Xp,Xb,Xq) | Xa = Xb)) # label(aSatz7_17) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	215 (all Xa all Xb all Xp all Xq (perp(Xp,Xq,Xa,Xb) | -perp(Xa,Xb,Xp,Xq))) # label(aSatz8_12b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	216 (all Xa all Xb all Xc all Xd all Xe all Xp all Xf1 all Xf2 (s_col(Xa,Xb,Xc) | s_col(Xd,Xe,Xp) | -congruent(Xa,Xb,Xc,Xd,Xe,Xf1) | -samesideline(Xf1,Xp,Xe,Xd) | -congruent(Xa,Xb,Xc,Xd,Xe,Xf2) | -samesideline(Xf2,Xp,Xe,Xd) | sameside(Xf1,Xe,Xf2))) # label(aSatz11_15b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	217 (all Xa all Xb all Xc ((s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc)) | Xa = Xb) & (s_col(Xa,Xb,erectAux(Xa,Xb,Xc)) | Xb = Xa) & (Xa = Xb | perp(Xa,Xb,erect(Xa,Xb,Xc),Xa)))) # label(aSatz8_21) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	218 (all Xr all Xa all Xb all Xc ((Xr = Xa | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xc = Xb) & (s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb | Xa = Xr))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	219 (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].
0.60/0.81	220 (all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_m(Xa1,Xm1,Xb1) | s_t(Xm1,Xc,Xm2) | -s_m(Xa2,Xm2,Xb2) | -s_e(Xc,Xa2,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2))) # label(aSatz7_22) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	221 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xb,Xd) | Xb = Xc | -s_t(Xb,Xc,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.60/0.81	222 (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].
0.60/0.83	223 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | -le(Xp,Xa,Xp,Xb) | s_t(Xp,Xa,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause).  [assumption].
0.60/0.83	224 -(all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (congruent(Xb,Xa,Xc,Xb1,Xa1,Xc1) | Xc = Xa | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -congruent(Xa,Xb,Xc,Xa1,Xb1,Xc1))) # label(aSatz11_49b) # label(negated_conjecture) # label(non_clause).  [assumption].
0.60/0.83	
0.60/0.83	============================== end of process non-clausal formulas ===
0.60/0.83	
0.60/0.83	============================== PROCESS INITIAL CLAUSES ===============
0.60/0.83	
0.60/0.83	============================== PREDICATE ELIMINATION =================
0.60/0.83	225 -s_e(A,B,C,D) | s_fs(A,E,F,B,C,V6,V7,D) | -s_e(E,B,V6,D) | -s_e3(A,E,F,C,V6,V7) | -s_col(A,E,F) # label(d_Defn4_15) # label(axiom).  [clausify(72)].
0.60/0.83	226 s_e(A,B,C,D) | E = F | -s_fs(F,E,A,B,V6,V7,C,D) # label(aSatz4_16) # label(axiom).  [clausify(40)].
0.60/0.83	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e3(A,E,V6,C,F,V7) | -s_col(A,E,V6) | s_e(V6,B,V7,D) | E = A.  [resolve(225,b,226,c)].
0.60/0.84	227 s_e(A,B,C,D) | -s_fs(E,A,F,B,V6,C,V7,D) # label(d_Defn4_15) # label(axiom).  [clausify(72)].
0.60/0.84	228 -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_15) # label(axiom).  [clausify(72)].
0.60/0.84	229 -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(72)].
0.60/0.84	230 -s_fs(A,B,C,D,E,F,V6,V7) | s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(72)].
0.60/0.84	231 -s_t(A,B,C) | s_afs(D,E,F,V6,A,B,C,V7) | -s_e(E,V6,B,V7) | -s_e(D,V6,A,V7) | -s_e(E,F,B,C) | -s_e(D,E,A,B) | -s_t(D,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	232 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	233 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	234 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	235 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	236 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	237 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(113)].
0.60/0.84	238 -s_m(A,B,C) | s_kf(D,E,F,V6,C,B,A) | -s_m(D,E,F) | -s_e(V6,A,V6,C) | -s_e(V6,D,V6,F) | -s_t(F,V6,C) | -s_t(D,V6,A) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	239 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	240 s_m(A,B,C) | -s_kf(A,B,C,D,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	241 -s_kf(A,B,C,D,E,F,V6) | s_e(D,V6,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	242 -s_kf(A,B,C,D,E,F,V6) | s_e(D,A,D,C) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	243 s_t(A,B,C) | -s_kf(D,E,A,B,C,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	244 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom).  [clausify(121)].
0.60/0.84	245 s_t(A,B,C) | -le(B,D,B,E) | -s_kf(D,A,F,B,V6,C,E) # label(aSatz7_22a) # label(axiom).  [clausify(174)].
0.60/0.84	246 s_t(A,B,C) | -s_kf(D,A,E,B,F,C,V6) # label(aSatz7_22b) # label(axiom).  [clausify(202)].
0.60/0.84	247 -s_t(A,B,C) | -s_e(A,C,D,E) | -s_e(B,C,F,E) | s_ifs(A,B,C,V6,D,F,E,V7) | -s_e(C,V6,E,V7) | -s_e(A,V6,D,V7) | -s_t(D,F,E) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	248 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom).  [clausify(122)].
0.60/0.84	249 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	250 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | -s_e(B,C,F,E) | -s_e(C,V6,E,V7) | -s_e(A,V6,D,V7) | -s_t(D,F,E) | s_e(B,V6,F,V7).  [resolve(247,d,248,a)].
0.60/0.84	251 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(C,D,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	252 s_e(A,B,C,D) | -s_ifs(E,A,B,F,V6,C,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	253 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(201)].
0.60/0.84	254 s_tCputime limit exceeded (core dumped)
300.06/301.83	EOF