0.04/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.04/0.13	% Command    : tptp2X_and_run_prover9 %d %s
0.12/0.33	% Computer   : n026.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 15:06:50 EDT 2019
0.12/0.33	% CPUTime    : 
0.96/1.25	============================== Prover9 ===============================
0.96/1.25	Prover9 (32) version 2009-11A, November 2009.
0.96/1.25	Process 9521 was started by sandbox on n026.cluster.edu,
0.96/1.25	Thu Aug 29 15:06:51 2019
0.96/1.25	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 180 -f /tmp/Prover9_9367_n026.cluster.edu".
0.96/1.25	============================== end of head ===========================
0.96/1.25	
0.96/1.25	============================== INPUT =================================
0.96/1.25	
0.96/1.25	% Reading from file /tmp/Prover9_9367_n026.cluster.edu
0.96/1.25	
0.96/1.25	set(prolog_style_variables).
0.96/1.25	set(auto2).
0.96/1.25	    % set(auto2) -> set(auto).
0.96/1.25	    % set(auto) -> set(auto_inference).
0.96/1.25	    % set(auto) -> set(auto_setup).
0.96/1.25	    % set(auto_setup) -> set(predicate_elim).
0.96/1.25	    % set(auto_setup) -> assign(eq_defs, unfold).
0.96/1.25	    % set(auto) -> set(auto_limits).
0.96/1.25	    % set(auto_limits) -> assign(max_weight, "100.000").
0.96/1.25	    % set(auto_limits) -> assign(sos_limit, 20000).
0.96/1.25	    % set(auto) -> set(auto_denials).
0.96/1.25	    % set(auto) -> set(auto_process).
0.96/1.25	    % set(auto2) -> assign(new_constants, 1).
0.96/1.25	    % set(auto2) -> assign(fold_denial_max, 3).
0.96/1.25	    % set(auto2) -> assign(max_weight, "200.000").
0.96/1.25	    % set(auto2) -> assign(max_hours, 1).
0.96/1.25	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.96/1.25	    % set(auto2) -> assign(max_seconds, 0).
0.96/1.25	    % set(auto2) -> assign(max_minutes, 5).
0.96/1.25	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.96/1.25	    % set(auto2) -> set(sort_initial_sos).
0.96/1.25	    % set(auto2) -> assign(sos_limit, -1).
0.96/1.25	    % set(auto2) -> assign(lrs_ticks, 3000).
0.96/1.25	    % set(auto2) -> assign(max_megs, 400).
0.96/1.25	    % set(auto2) -> assign(stats, some).
0.96/1.25	    % set(auto2) -> clear(echo_input).
0.96/1.25	    % set(auto2) -> set(quiet).
0.96/1.25	    % set(auto2) -> clear(print_initial_clauses).
0.96/1.25	    % set(auto2) -> clear(print_given).
0.96/1.25	assign(lrs_ticks,-1).
0.96/1.25	assign(sos_limit,10000).
0.96/1.25	assign(order,kbo).
0.96/1.25	set(lex_order_vars).
0.96/1.25	clear(print_given).
0.96/1.25	
0.96/1.25	% formulas(sos).  % not echoed (183 formulas)
0.96/1.25	
0.96/1.25	============================== end of input ==========================
0.96/1.25	
0.96/1.25	% From the command line: assign(max_seconds, 180).
0.96/1.25	
0.96/1.25	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.96/1.25	
0.96/1.25	% Formulas that are not ordinary clauses:
0.96/1.25	1 (all X all Y all W all V (s_t(X,Y,ext(X,Y,W,V)) & s_e(Y,ext(X,Y,W,V),W,V))) # label(aA4) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,V,X1,V1) | -s_e(Y,V,Y1,V1) | Y = X | s_e(Z,V,Z1,V1) | -s_t(X1,Y1,Z1) | -s_t(X,Y,Z) | -s_e(Y,Z,Y1,Z1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	3 (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(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xa,Xp,Xc)))) # label(aA7) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	4 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	5 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	6 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	7 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	8 (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) | -perp(Xp,Xq,Xc,Xcs) | -s_m(Xr,Xm,Xcs) | sameside(s(Xm,U),Xcs,Xc) | Xcs != Xr | -sameside(U,Xr,Xa) | -perp(Xp,Xq,Xa,Xr))) # label(aSatz9_4b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	9 (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) | Xb = Xa)) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	10 (all Xb all Xc all Xa (Xc = Xb | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	11 (all Xa all Xb all Xp all Xq all Xcx all U all V (Xa = Xb | Xp = Xq | -s_col(Xp,Xq,Xcx) | -s_col(Xa,Xb,Xcx) | -s_col(Xa,Xb,U) | -s_col(Xp,Xq,V) | Xcx = U | V = Xcx | -s_r(U,Xcx,V) | perpAt(Xa,Xb,Xcx,Xp,Xq))) # label(aSatz8_13b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	12 (all Xa all Xp (s(Xa,Xp) = Xp | Xa != Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	13 (all Xa all Xb all Xp all Xq all Xc (-perp(Xa,Xb,Xp,Xq) | perpAt(Xa,Xb,Xc,Xp,Xq) | -s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz8_14b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	14 (all Xa all Xp all Xb (s(Xa,Xp) != s(Xb,Xp) | Xb = Xa)) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	15 (all Xa all Xb all Xc (s_col(Xc,Xa,Xb) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	16 (all Xa all Xb (-s_col(Xa,Xb,pointOffLine(Xa,Xb)) | Xa = Xb)) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	17 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -sameside(Xa1,Xb1,Xc1))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	18 (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].
0.96/1.25	19 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	20 (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].
0.96/1.25	21 (all Xa all Xp all Xb all Xq all Xt (-le(Xa,Xp,Xb,Xq) | -perp(Xa,Xb,Xb,Xq) | -s_col(Xa,Xb,Xt) | s_m(Xa,midpointAux(Xa,Xb,Xp,Xq,Xt),Xb) | -s_t(Xp,Xt,Xq) | -perp(Xa,Xb,Xa,Xp))) # label(aSatz8_22b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	22 (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].
0.96/1.25	23 (all Xa all Xb all Xc (-s_t(Xb,Xa,Xc) | Xb = Xa | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	24 (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(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xd,Zb,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xb,Za,Zb)) & (s_e(Xb,Xd,Zb,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xb,Xc,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_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)) & (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].
0.96/1.25	25 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-s_t(Xp,Xt,Xq) | -s_e(Xa,Xp,Xb,Xr) | s_m(Xp,Xcx,Xr) | ip(Xp,Xt,Xq,Xb,Xr) != Xcx | -s_t(Xb,Xr,Xq) | -s_col(Xa,Xb,Xt) | -perp(Xq,Xb,Xa,Xb) | -perp(Xp,Xa,Xa,Xb))) # label(aSatz8_24b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	26 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	27 (all Xp all Xa all Xb all Xq all Xt all Xr all Xcx (-perp(Xp,Xa,Xa,Xb) | -s_t(Xb,Xr,Xq) | -s_e(Xa,Xp,Xb,Xr) | Xcx != ip(Xp,Xt,Xq,Xb,Xr) | s_m(Xa,Xcx,Xb) | -s_t(Xp,Xt,Xq) | -s_col(Xa,Xb,Xt) | -perp(Xq,Xb,Xa,Xb))) # label(aSatz8_24a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	28 (all Xa all Xb all Xc all Xa1 (Xb = Xa | -s_col(Xb,Xa,Xa1) | s_r(Xa1,Xb,Xc) | -s_r(Xa,Xb,Xc))) # label(aSatz8_3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	29 (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].
0.96/1.25	30 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | perp(Xa,Xb,erect21a(Xa,Xb,Xc),Xa) | Xa = Xb) & (Xa = Xb | s_t(Xc,erectAux21a(Xa,Xb,Xc),erect21a(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,erectAux21a(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc) | Xb = Xa))) # label(aSatz8_21a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	31 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xq = Xp)) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	32 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	33 (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].
0.96/1.25	34 (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].
0.96/1.25	35 (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].
0.96/1.25	36 (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].
0.96/1.25	37 (all Xa all Xp all Xq all Xc all Xm all Xr all Xb (-s_col(Xp,Xq,Xm) | -s_m(Xa,Xm,Xc) | -s_col(Xp,Xq,Xr) | -s_t(Xr,Xb,Xa) | opposite(Xb,Xp,Xq,Xc) | -sameside(Xa,Xr,Xb) | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_3a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	38 (all Xa all Xp all Xb all Xc (Xp = Xc | -sameside(Xa,Xp,Xb) | s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xb = Xp | Xp = Xa)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	39 (all Xa all Xb all Xc all Xm (sameside(s(Xm,Xa),s(Xm,Xb),s(Xm,Xc)) | -sameside(Xa,Xb,Xc))) # label(aSideReflect) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	40 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	41 (all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_t(Xa1,Xc,Xa2) | -s_t(Xb1,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_t(Xm1,Xc,Xm2))) # label(aSatz7_22) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	42 (all Xa all Xb all Xc all Xd (-le(Xc,Xd,Xa,Xb) | s_e(Xa,Xb,Xc,Xd) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	43 (all Xp all Xa all Xb all Xq all Xt all Xr (-perp(Xp,Xa,Xa,Xb) | -s_col(Xa,Xb,Xt) | -s_t(Xb,Xr,Xq) | s_m(Xp,midpoint(Xa,Xb),Xr) | -s_e(Xa,Xp,Xb,Xr) | -s_t(Xp,Xt,Xq) | -perp(Xq,Xb,Xa,Xb))) # label(aSatz8_24) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	44 (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].
0.96/1.25	45 (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].
0.96/1.25	46 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (-s_col(Xp,Xq,Xr) | -perp(Xp,Xq,Xa,Xr) | -le(Xcs,Xc,Xr,Xa) | Xcs = Xr | sameside(s(Xm,U),Xcs,Xc) | -sameside(U,Xr,Xa) | -s_m(Xr,Xm,Xcs) | -perp(Xp,Xq,Xc,Xcs) | -s_col(Xp,Xq,Xcs) | Xq = Xp | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_4a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	47 (all Xa all Xb all Xc ((-s_r(Xa,Xb,Xc) | s_e(Xa,Xc,Xa,s(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].
0.96/1.25	48 (all Xa all Xb all Xc all Xp all Xq (-perpAt(Xa,Xb,Xc,Xp,Xq) | perpAt(Xp,Xq,Xc,Xa,Xb))) # label(aSatz8_12a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	49 (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].
0.96/1.25	50 (all Xp all Xq all Xa all Xb all Xt ((s_col(Xp,Xq,Xb) | -s_t(Xa,Xt,Xb) | -s_col(Xp,Xq,Xt) | opposite(Xa,Xp,Xq,Xb) | s_col(Xp,Xq,Xa) | Xp = Xq) & (s_t(Xa,il(Xa,Xb,Xp,Xq),Xb) | -opposite(Xa,Xp,Xq,Xb)) & (-opposite(Xa,Xp,Xq,Xb) | s_col(Xp,Xq,il(Xa,Xb,Xp,Xq))) & (-s_col(Xp,Xq,Xb) | -opposite(Xa,Xp,Xq,Xb)) & (-opposite(Xa,Xp,Xq,Xb) | -s_col(Xp,Xq,Xa)))) # label(d_Defn9_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	51 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xb,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -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].
0.96/1.25	52 (all Xa all Xb all Xc all Xd (Xb = Xa | Xa = Xc | Xb = Xc | perp(Xb,Xa,Xa,Xd) | -s_col(Xa,Xc,Xd) | -perp(Xb,Xa,Xa,Xc) | Xd = Xa | Xc = Xd)) # label(aExtPerp3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	53 (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].
0.96/1.25	54 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_col(Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	55 (all Xa all Xb all Xp all Xq all Xc all Xd (-s_col(Xa,Xb,Xp) | Xp = Xq | -perp(Xp,Xq,Xc,Xd) | perp(Xa,Xb,Xc,Xd) | Xa = Xb | -s_col(Xa,Xb,Xq))) # label(aExtPerp2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	56 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xc,Xd,Xc1,Xd1) | Xb = Xa | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	57 (all Xa all Xb s_m(Xa,midpoint(Xa,Xb),Xb)) # label(aSatz8_22) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	58 (all Xp all Xq all Xr all Xa (-s_t(Xq,Xp,Xr) | s_col(Xa,Xp,Xq) | Xp != Xa | Xp = Xr | Xp = Xq)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	59 (all Xa all Xp all Xb ((Xa != Xp | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xb != Xp) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (s_t(Xa,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (c63(Xa,Xp,Xb) != Xp | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	60 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	61 (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].
0.96/1.25	62 (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(Xm1,Xc,Xm2))) # label(aSatz7_22b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	63 (all Xa all Xb all Xc (-s_r(Xa,Xb,Xc) | Xb = Xc | Xa = Xb | -s_col(Xa,Xb,Xc))) # label(aSatz8_9) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	64 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa3,Xb1,Xb3)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa2,Xa3,Xb2,Xb3)) & (-s_e(Xa1,Xa2,Xb1,Xb2) | -s_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)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	65 (all Xa all Xb all Xp all Xq (samesideline(Xp,Xq,Xb,Xa) | -samesideline(Xp,Xq,Xa,Xb) | Xb = Xa)) # label(aExtSameSide2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	66 (all Xr all Xa all Xb all Xc ((sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xc = Xb | Xr = Xa) & (Xr = Xa | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	67 (all Xa all Xb all Xc all Xd all Xp (-s_col(Xa,Xb,Xc) | -s_col(Xa,Xb,Xd) | -s_col(Xc,Xd,Xp) | s_col(Xa,Xb,Xp) | Xc = Xd | Xb = Xa)) # label(aExtCol2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	68 (all Xa all Xp all Xq all Xb (opposite(Xb,Xp,Xq,Xa) | -opposite(Xa,Xp,Xq,Xb))) # label(aSatz9_2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	69 (all Xp all Xq all Xr (Xp = Xq | -s_col(Xp,Xq,Xr) | s_col(Xq,Xp,Xr))) # label(aSatz6_17b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	70 (all Xa all Xb all Xc all XA all XB all XC (-s_e(Xa,Xb,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_t(XA,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	71 (all Xa all Xm (Xm != Xa | s_m(Xa,Xm,Xa))) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	72 (all Xa all Xb all Xp all Xq (perp(Xa,Xb,Xq,Xp) | -perp(Xa,Xb,Xp,Xq))) # label(aExtPerp4) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	73 (all Xq all Xa all Xd all Xb all Xc (Xa = Xq | -s_e(Xa,Xd,Xb,Xc) | Xd = ext(Xq,Xa,Xb,Xc) | -s_t(Xq,Xa,Xd))) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.96/1.25	74 (all Xa all Xp all Xq (Xp = Xq | s(Xa,Xq) != s(Xa,Xp))) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	75 (all Xa all Xb all Xp all Xq all Xc all Xd (Xq = Xp | perp(Xp,Xq,Xc,Xd) | -perp(Xa,Xb,Xc,Xd) | Xb = Xa | -s_col(Xa,Xb,Xq) | -s_col(Xa,Xb,Xp))) # label(aExtPerp5) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	76 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | le(Xa,Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	77 (all Xa all Xb all Xc all Xd all Xe all Xf (le(Xa,Xb,Xe,Xf) | -le(Xc,Xd,Xe,Xf) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_8) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	78 (all Xa all Xb all Xc all Xd (s_t(Xd,Xc,Xb) | s_t(Xc,Xd,Xb) | -s_t(Xd,Xa,Xb) | -s_t(Xc,Xa,Xb) | Xb = Xa)) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	79 (all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (Xp = Xq | -s_col(Xp,Xq,Xcs) | -perp(Xp,Xq,Xc,Xcs) | Xcs = Xr | -sameside(s(Xm,U),Xcs,Xc) | -le(Xcs,Xc,Xr,Xa) | sameside(U,Xr,Xa) | -s_m(Xr,Xm,Xcs) | -perp(Xp,Xq,Xa,Xr) | -s_col(Xp,Xq,Xr) | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_4a2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	80 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	81 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xr) | -s_m(Xp,Xa,Xq) | Xq = Xr)) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	82 (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)) & (-samesideline(Xa,Xb,Xp,Xq) | s_col(Xp,Xq,ss2(Xa,Xb,Xp,Xq))) & (-samesideline(Xa,Xb,Xp,Xq) | ss1(Xa,Xb,Xp,Xq) != Xa) & (Xb != ss2(Xa,Xb,Xp,Xq) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | ss1(Xa,Xb,Xp,Xq) != ss3(Xa,Xb,Xp,Xq)) & (ss3(Xa,Xb,Xp,Xq) != ss2(Xa,Xb,Xp,Xq) | -samesideline(Xa,Xb,Xp,Xq)) & (-samesideline(Xa,Xb,Xp,Xq) | Xq != Xp) & (-s_t(Xa,Xu,Xc) | -s_t(Xb,Xv,Xc) | Xc = Xu | Xc = Xv | Xu = Xa | Xb = Xv | s_col(Xp,Xq,Xa) | samesideline(Xa,Xb,Xp,Xq) | s_col(Xp,Xq,Xb) | Xp = Xq | -s_col(Xp,Xq,Xv) | -s_col(Xp,Xq,Xu)) & (-samesideline(Xa,Xb,Xp,Xq) | -s_col(Xp,Xq,Xb)) & (-samesideline(Xa,Xb,Xp,Xq) | -s_col(Xp,Xq,Xa)) & (s_t(Xb,ss2(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)) & (s_t(Xa,ss1(Xa,Xb,Xp,Xq),ss3(Xa,Xb,Xp,Xq)) | -samesideline(Xa,Xb,Xp,Xq)))) # label(d_Defn9_7) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	83 (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].
0.96/1.26	84 (all Xa all Xm (Xm = Xa | -s_m(Xa,Xm,Xa))) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	85 (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(Xb1,Xc,Xb2)) & (s_e(Xc,Xa2,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (-s_t(Xa1,Xc,Xa2) | -s_t(Xb1,Xc,Xb2) | -s_e(Xc,Xa2,Xc,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_m(Xa2,Xm2,Xb2) | -s_m(Xa1,Xm1,Xb1) | -s_e(Xc,Xa1,Xc,Xb1)) & (s_m(Xa1,Xm1,Xb1) | -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_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	86 (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].
0.96/1.26	87 (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].
0.96/1.26	88 (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_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	89 (all Xa all Xp all Xb all Xc (Xp = Xa | Xc = Xp | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xb = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	90 (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].
0.96/1.26	91 (all Xa all Xb all Xc all Xa1 all Xb1 (s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	92 (all Xp all Xq all Xp1 all Xq1 all X ((-perpAt(Xp,Xq,X,Xp1,Xq1) | perp(Xp,Xq,Xp1,Xq1)) & (-perp(Xp,Xq,Xp1,Xq1) | perpAt(Xp,Xq,il(Xp,Xq,Xp1,Xq1),Xp1,Xq1)))) # label(d_Defn8_11b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	93 (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].
0.96/1.26	94 (all Xa all Xb all Xc all Xd all Xe (-s_t(Xa,Xb,Xe) | -s_e(Xa,Xe,Xc,Xd) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	95 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | -s_t(Xb,Xc,Xa)) & (s_col(Xa,Xb,Xc) | -s_t(Xc,Xa,Xb)) & (-s_t(Xa,Xb,Xc) | s_col(Xa,Xb,Xc)) & (s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb) | -s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	96 (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].
0.96/1.26	97 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	98 (all Xa all Xb all Xp all Xq all Xr (Xq = Xp | -s_col(Xp,Xq,Xb) | -s_col(Xp,Xq,Xr) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xa) | Xa = Xb)) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	99 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xd) | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	100 (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].
0.96/1.26	101 (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].
0.96/1.26	102 (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)) & (le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y) | -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].
0.96/1.26	103 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	104 (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].
0.96/1.26	105 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | -le(Xp,Xa,Xp,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	106 (all Xp all Xq all Xr all Xa (-s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xq) | s_col(Xa,Xp,Xq) | Xp = Xr | Xq = Xp)) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	107 (all Xr all Xa all Xb all Xc all Xp all Xq (Xb = Xc | -sameside(Xp,Xa,Xr) | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xq,Xb,Xc) | Xp = Xq | -s_e(Xa,Xp,Xb,Xc) | Xa = Xr)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	108 (all Xa all Xb (Xb = Xa | -s_r(Xa,Xb,Xa))) # label(aSatz8_8) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	109 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	110 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	111 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | perp(Xa,Xb,Xc,foot(Xa,Xb,Xc))) & (s_col(Xa,Xb,foot(Xa,Xb,Xc)) | s_col(Xa,Xb,Xc)))) # label(aSatz8_18) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	112 (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].
0.96/1.26	113 (all Xa all Xp all Xb (sameside(Xb,Xp,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	114 (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) | -s_col(Xp,Xq,Xr) | opposite(Xb,Xp,Xq,Xc) | -sameside(Xa,Xr,Xb))) # label(aSatz9_3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	115 (all Xa all Xc all Xb all Xc1 (-s_e(Xa,Xc,Xa,Xc1) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	116 (all Xa all Xb all Xc all Xd all Xp (Xd = Xb | -s_e(Xa,Xb,Xc,Xd) | s_m(Xa,Xp,Xc) | -s_col(Xb,Xp,Xd) | -s_col(Xa,Xp,Xc) | -s_e(Xb,Xc,Xd,Xa) | s_col(Xa,Xb,Xc))) # label(aSatz7_21) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	117 (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].
0.96/1.26	118 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_col(Xa,Xb,Xc)) & (s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_col(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	119 (all Xp all Xq all Xr all Xa (Xq = Xp | -s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq) | Xr = Xp)) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	120 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	121 (all Y all Z all X all Y1 all Z1 all U all V ((-perpAt(Y,Z,X,Y1,Z1) | s_col(Y,Z,X)) & (-perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,X)) & (s_r(U,X,V) | -s_col(Y1,Z1,V) | -s_col(Y,Z,U) | -perpAt(Y,Z,X,Y1,Z1)) & (perpAt(Y,Z,X,Y1,Z1) | Z1 = Y1 | -s_col(Y,Z,X) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | Y = Z) & (-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) | Z1 = Y1 | Y = Z | perpAt(Y,Z,X,Y1,Z1)) & (-s_col(Y,Z,X) | s_col(Y,Z,f811(Y,Z,Y1,Z1,X)) | -s_col(Y1,Z1,X) | Y1 = Z1 | Y = Z | perpAt(Y,Z,X,Y1,Z1)) & (-perpAt(Y,Z,X,Y1,Z1) | Y1 != Z1) & (-perpAt(Y,Z,X,Y1,Z1) | Z != Y))) # label(d_Defn8_11a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	122 (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].
0.96/1.26	123 (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].
0.96/1.26	124 (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].
0.96/1.26	125 (all Xa all Xb all Xc all Xa1 (-s_r(Xa1,Xb,Xc) | Xc = Xb | -s_t(Xa,Xc,Xa1) | -s_r(Xa,Xb,Xc))) # label(aSatz8_6) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	126 (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].
0.96/1.26	127 (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].
0.96/1.26	128 (all Xp all Xa all Xq (s(Xa,Xp) = Xq | -s_m(Xp,Xa,Xq))) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	129 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | s_t(Xb,Xc,Xd))) # label(aSatz3_6a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	130 (all Xa all Xb all Xc (Xb = Xc | -s_r(Xa,Xc,Xb) | -s_r(Xa,Xb,Xc))) # label(aSatz8_7) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	131 (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].
0.96/1.26	132 (all Xa all Xp all Xr all Xq (s(Xa,Xp) != Xr | Xq = Xp | s(Xa,Xq) != Xr)) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	133 (all Xa all Xb all Xc all Xc1 (Xb = Xa | -s_col(Xa,Xb,Xc) | Xc = Xc1 | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1))) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	134 (all Xa all Xb s_r(Xa,Xb,Xb)) # label(aSatz8_5) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	135 (all Xa all Xb all Xp all Xq all Xr all Xc all Xd (-s_col(Xa,Xb,Xq) | Xp = Xq | Xb = Xa | perpAt(Xa,Xb,Xr,Xc,Xd) | -perpAt(Xp,Xq,Xr,Xc,Xd) | -s_col(Xa,Xb,Xp))) # label(aExtPerp) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	136 (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].
0.96/1.26	137 (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].
0.96/1.26	138 (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_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].
0.96/1.26	139 (all Xa all Xb all Xc all Xp all Xq (il(Xa,Xb,Xp,Xq) = Xc | -perpAt(Xa,Xb,Xc,Xp,Xq))) # label(aSatz8_14c) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	140 (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].
0.96/1.26	141 (all Xa all Xb all Xd all Xc (-s_col(Xa,Xb,Xd) | perpAt(Xa,Xb,Xd,Xc,Xd) | -perp(Xa,Xb,Xc,Xd) | Xb = Xa)) # label(aSatz8_15) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	142 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	143 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd) | Xb = Xa)) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	144 (all Xp all Xq all Xr all Xa (Xp = Xr | Xa = Xp | sameside(Xa,Xp,Xr) | sameside(Xa,Xp,Xq) | -s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xq = Xp)) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	145 (all Xa all Xb all Xp all Xq all Xc (perp(Xa,Xb,Xc,Xp) | -s_r(Xc,Xp,Xq) | s_col(Xa,Xb,Xc) | Xp = Xq | -s_col(Xa,Xb,Xq) | -s_col(Xa,Xb,Xp) | Xb = Xa)) # label(aSatz8_16b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	146 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xc,Za,Zc)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xb,Xc,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(Xb,Xc,Zb,Zc) | -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) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	147 (all Xa all Xb all Xc all Xd (-s_col(Xa,Xb,Xd) | s_col(Xa,Xc,Xd) | Xa = Xb | -s_col(Xa,Xb,Xc))) # label(aext1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	148 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | Xb = Xc | -s_t(Xa,Xb,Xc))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	149 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (-s_col(Xa,Xb,Xd) | -s_col(Xp,Xq,Xd) | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | Xc = Xd | -s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xc) | Xp = Xq | Xb = Xa)) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	150 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xp != Xa) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)) & (-s_t(Xp,Xb,Xa) | Xp = Xb | sameside(Xa,Xp,Xb) | Xp = Xa) & (xb = Xp | sameside(Xa,Xp,Xb) | Xp = Xa | -s_t(Xp,Xa,Xb)) & (Xb != Xp | -sameside(Xa,Xp,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	151 (all Xp all Xq all Xcs all Xr (Xp = Xcs | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xcs) | Xp = Xq)) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	152 (all Xa all Xb all Xp all Xq all Xc ((-s_col(Xa,Xb,Xq) | -s_col(Xa,Xb,Xc) | -perp(Xa,Xb,Xc,Xp) | Xp = Xq | -s_col(Xa,Xb,Xp) | Xb = Xa) & (-s_col(Xa,Xb,Xp) | s_r(Xc,Xp,Xq) | -perp(Xa,Xb,Xc,Xp) | Xq = Xp | -s_col(Xa,Xb,Xq) | Xa = Xb))) # label(aSatz8_16a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	153 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xc,Xd,Xe,Xf))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	154 (all Xa all Xb all Xc ((s_t(Xc,erectAux(Xa,Xb,Xc),erect(Xa,Xb,Xc)) | Xb = Xa) & (Xb = Xa | s_col(Xa,Xb,erectAux(Xa,Xb,Xc))) & (Xa = Xb | perp(Xa,Xb,erect(Xa,Xb,Xc),Xa)))) # label(aSatz8_21) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	155 (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(Xa,Xb,f813(Xa,Xb,Xp,Xq,Xc))) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc))) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_r(f813(Xa,Xb,Xp,Xq,Xc),Xc,g813(Xa,Xb,Xp,Xq,Xc))) & (Xc != g813(Xa,Xb,Xp,Xq,Xc) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (f813(Xa,Xb,Xp,Xq,Xc) != Xc | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (s_col(Xa,Xb,Xc) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | Xp != Xq) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | Xb != Xa))) # label(aSatz8_13a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	156 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_r(Xa1,Xb1,Xc1) | -s_r(Xa,Xb,Xc))) # label(aSatz8_10) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	157 (all Xa all Xb all Xp (s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp)) | Xa = Xb)) # label(aSatz7_19) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	158 (all Xa all Xb all Xc all Xd (s_t(Xa,Xb,Xd) | Xb = Xc | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	159 (all Xa all Xp all Xb all Xc (Xa = Xp | Xp = Xb | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xc = Xp | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	160 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	161 (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].
0.96/1.26	162 (all Xa all Xp (Xa = Xp | sameside(Xa,Xp,Xa))) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	163 (all Xp all Xa all Xq all Xb (Xb = Xa | -s_m(Xp,Xb,Xq) | -s_m(Xp,Xa,Xq))) # label(aSatz7_17) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	164 (all Xa all Xp (Xp = Xa | s(Xa,Xp) != Xp)) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	165 (all Xa all Xb all Xc all Xp all Xq (s_col(Xa,Xb,Xc) | -perp(Xa,Xb,Xc,Xp) | Xp = Xq | -perp(Xa,Xb,Xc,Xq) | -s_col(Xa,Xb,Xq) | -s_col(Xa,Xb,Xp))) # label(aSatz8_18a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	166 (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].
0.96/1.26	167 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	168 (all Xa all Xb all Xc all 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_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb))))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	169 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-le(Xa,Xb,Xc,Xd) | -s_e(Xc,Xd,Xc1,Xd1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	170 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | -le(Xa,Xb,Xa,Xc) | -le(Xb,Xc,Xa,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.26	171 (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].
0.96/1.26	172 (all Xa all Xb all Xc all Xp (-s_r(Xa,Xb,Xc) | -s_m(s(Xa,Xc),Xp,s(Xb,Xc)) | Xp != Xa | Xc = Xb)) # label(aSatz8_20b) # label(axiom) # label(non_clause).  [assumption].
0.96/1.28	173 (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].
0.96/1.28	174 (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].
0.96/1.28	175 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.96/1.28	176 -(all Xa all Xp all Xq all Xc all Xcs all Xr all Xm all U (Xq = Xp | -s_col(Xp,Xq,Xcs) | -perp(Xp,Xq,Xa,Xr) | -perp(Xp,Xq,Xc,Xcs) | -sameside(U,Xr,Xa) | sameside(s(Xm,U),Xcs,Xc) | -s_m(Xr,Xm,Xcs) | -s_col(Xp,Xq,Xr) | -opposite(Xa,Xp,Xq,Xc))) # label(aSatz9_4) # label(negated_conjecture) # label(non_clause).  [assumption].
0.96/1.28	
0.96/1.28	============================== end of process non-clausal formulas ===
0.96/1.28	
0.96/1.28	============================== PROCESS INITIAL CLAUSES ===============
0.96/1.28	
0.96/1.28	============================== PREDICATE ELIMINATION =================
0.96/1.28	177 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(C,V6,F,V7) | s_ifs(A,B,C,V6,D,E,F,V7) | -s_e(A,V6,D,V7) | -s_e(B,C,E,F) | -s_e(A,C,D,F) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	178 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(aSatz4_2) # label(axiom).  [clausify(20)].
0.96/1.28	179 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	180 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	Derived: -s_t(A,B,C) | -s_t(D,E,F) | -s_e(C,V6,F,V7) | -s_e(A,V6,D,V7) | -s_e(B,C,E,F) | -s_e(A,C,D,F) | s_e(B,V6,E,V7).  [resolve(177,d,178,a)].
0.96/1.28	181 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	182 s_e(A,B,C,D) | -s_ifs(E,A,B,F,V6,C,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	183 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	184 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(146)].
0.96/1.28	185 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(A,V6,D,V7) | -s_e(B,V6,E,V7) | s_afs(A,B,C,V6,D,E,F,V7) | -s_e(B,C,E,F) | -s_e(A,B,D,E) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	186 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	187 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	188 s_e(A,B,C,D) | -s_afs(E,A,B,F,V6,C,D,V7) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	189 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	190 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	191 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(24)].
0.96/1.28	192 -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(64)].
0.96/1.28	193 -s_e3(A,B,C,D,E,F) | s_col(D,E,F) | -s_col(A,B,C) # label(aSatz4_13) # label(axiom).  [clausify(54)].
0.96/1.28	194 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(64)].
0.96/1.28	195 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom).  [clausify(64)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_e(A,E,C,F) | -s_e(B,E,D,F) | s_col(C,D,F) | -s_col(A,B,E).  [resolve(192,d,193,a)].
0.96/1.28	196 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(64)].
0.96/1.28	197 -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(88)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_col(C,insert(A,E,C,D),D) | -s_col(A,E,B).  [resolve(197,b,193,a)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(E,B,insert(A,E,C,D),D).  [resolve(197,b,195,a)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(A,E,C,insert(A,E,C,D)).  [resolve(197,b,196,b)].
0.96/1.28	198 s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) | -s_col(A,B,C) # label(aSatz4_14) # label(axiom).  [clausify(91)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_col(C,D,insert5(A,B,E,C,D)) | -s_col(A,B,E).  [resolve(198,a,193,a)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(A,E,C,insert5(A,B,E,C,D)).  [resolve(198,a,194,a)].
0.96/1.28	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(B,E,D,insert5(A,B,E,C,D)).  [resolve(198,a,195,a)].
0.96/1.34	199 -s_t(A,B,C) | s_t(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(101)].
0.96/1.34	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_e(A,B,D,E) | -s_e(A,C,D,F) | -s_e(B,C,E,F).  [resolve(199,c,192,d)].
0.96/1.34	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(199,c,197,b)].
0.96/1.34	Derived: -s_t(A,B,C) | s_t(D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) | -s_col(A,B,C).  [resolve(199,c,198,a)].
0.96/1.34	200 s_e3(A,B,C,D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7) # label(d_Defn4_15) # label(axiom).  [clausify(118)].
0.96/1.34	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_col(E,F,V6) | -s_col(A,B,C).  [resolve(200,a,193,a)].
0.96/1.34	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6).  [resolve(200,a,194,a)].
0.96/1.34	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6).  [resolve(200,a,195,a)].
0.96/1.34	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F).  [resolve(200,a,196,b)].
0.96/1.34	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | -s_t(A,B,C) | s_t(E,F,V6).  [resolve(200,a,199,c)].
0.96/1.34	201 -s_col(A,B,C) | -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | -s_e(B,V6,E,V7) | s_fs(A,B,C,V6,D,E,F,V7) # label(d_Defn4_15) # label(axiom).  [clausify(118)].
0.96/1.34	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,V6,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_e(A,B,E,V6) | -s_e(A,C,E,V7) | -s_e(B,C,V6,V7).  [resolve(201,b,192,d)].
0.96/1.34	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,insert(A,B,E,V6),F) | s_fs(A,B,C,D,E,insert(A,B,E,V6),V6,F) | -s_e(A,C,E,V6) | -s_t(A,B,C).  [resolve(201,b,197,b)].
0.96/1.34	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,V6,F) | s_fs(A,B,C,D,E,V6,insert5(A,B,C,E,V6),F) | -s_e(A,B,E,V6) | -s_col(A,B,C).  [resolve(201,b,198,a)].
0.96/1.34	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | -s_e(B,D,V6,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_fs(A,B,C,V8,E,V6,V7,V9).  [resolve(201,b,200,a)].
0.96/1.34	202 -s_e3(A,B,C,D,E,F) | s_r(D,E,F) | -s_r(A,B,C) # label(aSatz8_10) # label(axiom).  [clausify(156)].
0.96/1.34	Derived: s_r(A,B,C) | -s_r(D,E,F) | -s_e(D,E,A,B) | -s_e(D,F,A,C) | -s_e(E,F,B,C).  [resolve(202,a,192,d)].
0.96/1.34	Derived: s_r(A,insert(B,C,A,D),D) | -s_r(B,C,E) | -s_e(B,E,A,D) | -s_t(B,C,E).  [resolve(202,a,197,b)].
0.96/1.34	Derived: s_r(A,B,insert5(C,D,E,A,B)) | -s_r(C,D,E) | -s_e(C,D,A,B) | -s_col(C,D,E).  [resolve(202,a,198,a)].
0.96/1.34	Derived: s_r(A,B,C) | -s_r(D,E,F) | -s_fs(D,E,F,V6,A,B,C,V7).  [resolve(202,a,200,a)].
0.96/1.34	203 -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,C,B,E) | s_kf(A,F,D,B,E,V6,C) | -s_m(C,V6,E) | -s_m(A,F,D) | -s_e(B,A,B,D) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	204 -s_kf(A,B,C,D,E,F,V6) | s_t(B,D,F) # label(aSatz7_22b) # label(axiom).  [clausify(62)].
0.96/1.34	205 -s_kf(A,B,C,D,E,F,V6) | s_t(C,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	206 s_e(A,B,A,C) | -s_kf(D,E,F,A,C,V6,B) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	207 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	Derived: -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,C,B,E) | -s_m(C,F,E) | -s_m(A,V6,D) | -s_e(B,A,B,D) | s_t(V6,B,F).  [resolve(203,d,204,a)].
0.96/1.34	208 s_m(A,B,C) | -s_kf(A,B,C,D,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	209 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	210 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom).  [clausify(85)].
0.96/1.34	211 -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(87)].
0.96/1.34	
0.96/1.34	============================== end predicate elimination =============
0.96/1.34	
0.96/1.34	Auto_denials:  (non-Horn, no changes).
0.96/1.34	
0.96/1.34	Term ordering decisions:
0.96/1.34	Function symbol KB weights:  xb=1. xa=1. xp=1. xq=1. alpha=1. gamma=1. xc=1. xd=1. beta=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. c8=1. s=1. midpoint=1. pointOffLine=1. c63=1. erect=1. erect21a=1. erectAux=1. erectAux21a=1. foot=1. isomidpoint=1. insert=1. ext=1. il=1. ins=1. ss1=1. ss2=1. ss3=1. insert5=1. ip=1. f811=1. f813=1. g811=1. g813=1. midpointAux=1. crossbar=1.
0.96/1.34	
0.96/1.34	============================== end of process initial clauses ========
0.96/1.34	
0.96/1.34	============================== CLAUSES FOR SEARCH ====================
0.96/1.34	
0.96/1.34	============================== end of clauses for search =============
0.96/1.34	
0.96/1.34	=====Cputime limit exceeded (core dumped)
180.05/180.33	EOF