0.05/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.10	% Command    : tptp2X_and_run_prover9 %d %s
0.09/0.30	% Computer   : n016.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 960
0.09/0.30	% DateTime   : Thu Jul  2 14:48:19 EDT 2020
0.09/0.30	% CPUTime    : 
0.97/1.26	============================== Prover9 ===============================
0.97/1.26	Prover9 (32) version 2009-11A, November 2009.
0.97/1.26	Process 30079 was started by sandbox2 on n016.cluster.edu,
0.97/1.26	Thu Jul  2 14:48:20 2020
0.97/1.26	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 960 -f /tmp/Prover9_29926_n016.cluster.edu".
0.97/1.26	============================== end of head ===========================
0.97/1.26	
0.97/1.26	============================== INPUT =================================
0.97/1.26	
0.97/1.26	% Reading from file /tmp/Prover9_29926_n016.cluster.edu
0.97/1.26	
0.97/1.26	set(prolog_style_variables).
0.97/1.26	set(auto2).
0.97/1.26	    % set(auto2) -> set(auto).
0.97/1.26	    % set(auto) -> set(auto_inference).
0.97/1.26	    % set(auto) -> set(auto_setup).
0.97/1.26	    % set(auto_setup) -> set(predicate_elim).
0.97/1.26	    % set(auto_setup) -> assign(eq_defs, unfold).
0.97/1.26	    % set(auto) -> set(auto_limits).
0.97/1.26	    % set(auto_limits) -> assign(max_weight, "100.000").
0.97/1.26	    % set(auto_limits) -> assign(sos_limit, 20000).
0.97/1.26	    % set(auto) -> set(auto_denials).
0.97/1.26	    % set(auto) -> set(auto_process).
0.97/1.26	    % set(auto2) -> assign(new_constants, 1).
0.97/1.26	    % set(auto2) -> assign(fold_denial_max, 3).
0.97/1.26	    % set(auto2) -> assign(max_weight, "200.000").
0.97/1.26	    % set(auto2) -> assign(max_hours, 1).
0.97/1.26	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.97/1.26	    % set(auto2) -> assign(max_seconds, 0).
0.97/1.26	    % set(auto2) -> assign(max_minutes, 5).
0.97/1.26	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.97/1.26	    % set(auto2) -> set(sort_initial_sos).
0.97/1.26	    % set(auto2) -> assign(sos_limit, -1).
0.97/1.26	    % set(auto2) -> assign(lrs_ticks, 3000).
0.97/1.26	    % set(auto2) -> assign(max_megs, 400).
0.97/1.26	    % set(auto2) -> assign(stats, some).
0.97/1.26	    % set(auto2) -> clear(echo_input).
0.97/1.26	    % set(auto2) -> set(quiet).
0.97/1.26	    % set(auto2) -> clear(print_initial_clauses).
0.97/1.26	    % set(auto2) -> clear(print_given).
0.97/1.26	assign(lrs_ticks,-1).
0.97/1.26	assign(sos_limit,10000).
0.97/1.26	assign(order,kbo).
0.97/1.26	set(lex_order_vars).
0.97/1.26	clear(print_given).
0.97/1.26	
0.97/1.26	% formulas(sos).  % not echoed (145 formulas)
0.97/1.26	
0.97/1.26	============================== end of input ==========================
0.97/1.26	
0.97/1.26	% From the command line: assign(max_seconds, 960).
0.97/1.26	
0.97/1.26	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.97/1.26	
0.97/1.26	% Formulas that are not ordinary clauses:
0.97/1.26	1 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	2 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	3 (all Xa all Xp all Xc all Xb all Xq ((s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xb,Xq,Xc) | -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].
0.97/1.26	4 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,Y,X1,Y1) | -s_t(X1,Y1,Z1) | s_e(Z,V,Z1,V1) | X = Y | -s_e(Y,V,Y1,V1) | -s_e(X,V,X1,V1) | -s_e(Y,Z,Y1,Z1) | -s_t(X,Y,Z))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	5 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	6 (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].
0.97/1.26	7 (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].
0.97/1.26	8 (all Xp all Xa all Xq (Xq = s(Xa,Xp) | -s_m(Xp,Xa,Xq))) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	9 (all Xa all Xp all Xb all Xc (Xp = Xb | Xp = Xc | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xp = Xa | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	10 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xq) | Xr = Xq | -s_m(Xp,Xa,Xr))) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	11 (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].
0.97/1.26	12 (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].
0.97/1.26	13 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xb,Xd,Xb1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_col(Xa,Xb,Xc)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_col(Xa,Xb,Xc) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	14 (all Xa all Xp all Xb all Xc (Xa = Xp | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xc = Xp | Xb = Xp)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	15 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xb,Xa1,Xb1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	16 (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].
0.97/1.26	17 (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].
0.97/1.26	18 (all Xa all Xm (s_m(Xa,Xm,Xa) | Xm != Xa)) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	19 (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].
0.97/1.26	20 (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].
0.97/1.26	21 (all Xb all Xc all Xa (Xc = Xb | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	22 (all Xp all Xq all Xcs all Xr (Xq = Xp | Xp = Xcs | -s_col(Xp,Xq,Xr) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xcs))) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	23 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xp = Xq)) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	24 (all Xa1 all Xc all Xa2 all Xb1 all Xb2 all Xm1 all Xm2 (-s_t(Xa1,Xc,Xa2) | -s_e(Xc,Xa2,Xc,Xb2) | s_t(Xm1,Xc,Xm2) | -s_m(Xa2,Xm2,Xb2) | -s_m(Xa1,Xm1,Xb1) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2))) # label(aSatz7_22) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	25 (all Xa all Xm (-s_m(Xa,Xm,Xa) | Xa = Xm)) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	26 (all Xa all Xb s_r(Xa,Xb,Xb)) # label(aSatz8_5) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	27 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	28 (all Xa all Xp all Xb (s_t(Xp,Xa,Xb) | -le(Xp,Xa,Xp,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	29 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	30 (all Xa all Xp all Xb (Xa = Xb | s(Xa,Xp) != s(Xb,Xp))) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	31 (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].
0.97/1.26	32 (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].
0.97/1.26	33 (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].
0.97/1.26	34 (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].
0.97/1.26	35 (all Xa all Xp (s(Xa,Xp) = Xp | Xp != Xa)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	36 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xb,Za,Zb)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Za,Zb,Zc) | -s_e(Xa,Xb,Za,Zb) | -s_e(Xa,Xd,Za,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xd,Zb,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (s_e(Xb,Xd,Zb,Zd) | -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].
0.97/1.26	37 (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].
0.97/1.26	38 (all Xr all Xa all Xb all Xc ((Xr = Xa | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb) & (Xc = Xb | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xa = Xr))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	39 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa,Xb,Xc) | -s_e(Xb,Xa,Xb1,Xa1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | -sameside(Xa1,Xb1,Xc1))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	40 (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].
0.97/1.26	41 (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].
0.97/1.26	42 (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].
0.97/1.26	43 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xa,Xc) | Xa = Xb)) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	44 (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].
0.97/1.26	45 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | Xc = Xb | Xb = Xa | -s_r(Xa,Xb,Xc))) # label(aSatz8_9) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	46 (all Xa all Xb all Xp all Xq all Xr (Xp = Xq | -s_col(Xp,Xq,Xa) | -s_col(Xp,Xq,Xb) | -s_col(Xp,Xq,Xr) | s_col(Xa,Xb,Xr) | Xb = Xa)) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	47 (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].
0.97/1.26	48 (all Xa all Xb all Xd all Xc (s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	49 (all Xp all Xq all Xr all Xa (Xp = Xr | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xp = Xq)) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	50 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	51 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xb,Xd,Xb1,Xd1) | -s_ifs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_2) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	52 (all Xq all Xa all Xd all Xb all Xc (ext(Xq,Xa,Xb,Xc) = Xd | -s_e(Xa,Xd,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xq = Xa)) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	53 (all Xa all Xb all Xp (s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) | Xb = Xa)) # label(aSatz7_19) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	54 (all Xa all Xb all Xc all Xd ((ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd) | -le(Xa,Xb,Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)) | -le(Xa,Xb,Xc,Xd)))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	55 (all Xa all Xb all Xc (-s_e(Xa,Xc,Xa,Xb) | Xb = Xc | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	56 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.26	57 (all Xa all Xb all Xc all Xp all Xq ((-perpAt(Xa,Xb,Xc,Xp,Xq) | Xa != Xb) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | Xc != f813(Xa,Xb,Xp,Xq,Xc)) & (Xc != 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)) | -perpAt(Xa,Xb,Xc,Xp,Xq)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,g813(Xa,Xb,Xp,Xq,Xc))) & (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)) & (-perpAt(Xa,Xb,Xc,Xp,Xq) | s_col(Xp,Xq,Xc)) & (Xq != Xp | -perpAt(Xa,Xb,Xc,Xp,Xq)))) # label(aSatz8_13a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	58 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_e(Xa,Xc,Xa,Xc1) | Xa = Xb)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	59 (all Xp all Xq all Xr all Xa (Xp = Xq | -s_t(Xq,Xp,Xr) | Xa != Xp | s_col(Xa,Xp,Xq) | Xp = Xr)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	60 (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) | Xd = Xb | s_col(Xa,Xb,Xc))) # label(aSatz7_21) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	61 (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].
0.97/1.27	62 (all Xa all Xp (s(Xa,Xp) != Xp | Xa = Xp)) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	63 (all Xa all Xm all Xb (s_m(Xb,Xm,Xa) | -s_m(Xa,Xm,Xb))) # label(aSatz7_2) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	64 (all Xa all Xb all Xc ((-s_r(Xa,Xb,Xc) | s_e(Xa,Xc,Xa,s(Xb,Xc))) & (-s_e(Xa,Xc,Xa,s(Xb,Xc)) | s_r(Xa,Xb,Xc)))) # label(d_Defn8_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	65 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xb = Xa | Xp = Xq | -s_col(Xp,Xq,Xc) | -s_col(Xa,Xb,Xd) | -s_col(Xp,Xq,Xd) | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | Xc = Xd | -s_col(Xa,Xb,Xc))) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	66 (all Xa all Xb all Xc all Xa1 (Xb = Xc | -s_t(Xa,Xc,Xa1) | -s_r(Xa1,Xb,Xc) | -s_r(Xa,Xb,Xc))) # label(aSatz8_6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	67 (all Xa all Xp all Xb all Xc (-sameside(Xa,Xp,Xb) | sameside(Xa,Xp,Xc) | -sameside(Xb,Xp,Xc))) # label(aSatz6_7) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	68 (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].
0.97/1.27	69 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xb,Xc,Xb1,Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa1,Xb1,Xc1))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	70 (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].
0.97/1.27	71 (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].
0.97/1.27	72 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1)) & (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	73 (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].
0.97/1.27	74 (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].
0.97/1.27	75 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_t(Xa1,Xb1,Xc1))) # label(aSatz4_6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	76 (all Xp all Xq all Xr all Xa (Xq = Xp | Xp = Xr | -s_t(Xq,Xp,Xr) | sameside(Xa,Xp,Xr) | sameside(Xa,Xp,Xq) | Xa = Xp | -s_col(Xa,Xp,Xq))) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	77 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	78 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xp = Xa)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	79 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	80 (all Xa all Xb all Xc all Xd (Xa = Xb | s_t(Xa,Xc,Xd) | s_t(Xa,Xd,Xc) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	81 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa2,Xa3,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)) & (s_e(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa2,Xb1,Xb2)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	82 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	83 (all Xa all Xb all Xc all Xd all Y ((-le(Xa,Xb,Xc,Xd) | s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)) & (-s_t(Xc,Y,Xd) | le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y)) & (-le(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd))))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	84 (all Xa all Xb all Xc (s_r(Xa,Xb,s(Xb,Xc)) | -s_r(Xa,Xb,Xc))) # label(aSatz8_4) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	85 (all Xa all Xb all Xc all Xa1 (-s_r(Xa,Xb,Xc) | Xa = Xb | s_r(Xa1,Xb,Xc) | -s_col(Xb,Xa,Xa1))) # label(aSatz8_3) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	86 (all Xa all Xp all Xb all Xc (Xa = Xp | Xb = Xp | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | Xc = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	87 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (Xb = Xa | s_e(Xc,Xd,Xc1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	88 (all Xa all Xb all Xc (-le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	89 (all Xa all Xb all Xc ((s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,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)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	90 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	91 (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].
0.97/1.27	92 (all Xa all Xp all Xq (s(Xa,Xp) != s(Xa,Xq) | Xp = Xq)) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	93 (all Xa all Xb all Xc all Xd all Xe (-s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	94 (all Xa all Xb all Xc (-s_r(Xa,Xc,Xb) | Xc = Xb | -s_r(Xa,Xb,Xc))) # label(aSatz8_7) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	95 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_e(Xb,Xc,Zb,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Za,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_t(Xa,Xb,Xc)) & (s_e(Xc,Xd,Zc,Zd) | -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_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xc,Za,Zc)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	96 (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].
0.97/1.27	97 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	98 (all Xa all Xb all Xc all XA all XB all XC (-s_t(XA,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_e(Xa,Xb,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	99 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xc,Xd))) # label(aSatz3_6a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	100 (all Xp all Xq all Xr all Xa (Xp = Xq | Xp = Xr | -sameside(Xa,Xp,Xq) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr))) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	101 (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_15b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	102 (all Xa all Xb all Xc all Xa1 all Xc1 ((s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa,Xb,Xc)) & (s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa,Xb,Xc)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	103 (all Xp all Xq all Xr (Xq = Xp | s_col(Xq,Xp,Xr) | -s_col(Xp,Xq,Xr))) # label(aSatz6_17b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	104 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (Xp != Xb | -sameside(Xa,Xp,Xb)) & (-s_t(Xp,Xb,Xa) | sameside(Xa,Xp,Xb) | Xb = Xp | Xa = Xp) & (-s_t(Xp,Xa,Xb) | sameside(Xa,Xp,Xb) | Xp = xb | Xp = Xa) & (-sameside(Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	105 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (-le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xa1,Xb1) | le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xc,Xd,Xc1,Xd1))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	106 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xd) | Xc = Xb | -s_t(Xb,Xc,Xd))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	107 (all Xa all Xp all Xb (sameside(Xb,Xp,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	108 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	109 (all Xa all Xp all Xb (sameside(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb) | s_t(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	110 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	111 (all Xa all Xb all Xc all Xd (s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	112 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	113 (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].
0.97/1.27	114 (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].
0.97/1.27	115 (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].
0.97/1.27	116 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	117 (all Xa all Xm all Xb (-s_col(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | Xa = Xb | s_m(Xa,Xm,Xb))) # label(aSatz7_20) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	118 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	119 (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].
0.97/1.27	120 (all Xr all Xa all Xb all Xc all Xp all Xq (-sameside(Xp,Xa,Xr) | -s_e(Xa,Xp,Xb,Xc) | -s_e(Xa,Xq,Xb,Xc) | Xp = Xq | -sameside(Xq,Xa,Xr) | Xb = Xc | Xr = Xa)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	121 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	122 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | le(Xp,Xa,Xp,Xb) | -s_t(Xp,Xa,Xb))) # label(aSatz6_13b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	123 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | Xp != c63(Xa,Xp,Xb)) & (Xb != Xp | -sameside(Xa,Xp,Xb)) & (Xp != Xa | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	124 (all Xa all Xp all Xr all Xq (Xr != s(Xa,Xq) | Xq = Xp | s(Xa,Xp) != Xr)) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	125 (all Xa all Xb (-s_r(Xa,Xb,Xa) | Xb = Xa)) # label(aSatz8_8) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	126 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | Xa = Xb)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	127 (all Xa all Xb all Xc all Xd (s_e(Xa,Xb,Xd,Xc) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_5) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	128 (all Xa all Xb all Xp all Xq (-perp(Xa,Xb,Xp,Xq) | perp(Xp,Xq,Xa,Xb))) # label(aSatz8_12b) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	129 (all Y all Z all X all Y1 all Z1 all U all V ((-perpAt(Y,Z,X,Y1,Z1) | s_col(Y1,Z1,X)) & (Y1 != Z1 | -perpAt(Y,Z,X,Y1,Z1)) & (perpAt(Y,Z,X,Y1,Z1) | -s_col(Y1,Z1,X) | s_col(Y1,Z1,g811(Y,Z,Y1,Z1,X)) | -s_col(Y,Z,X) | Y1 = Z1 | Z = Y) & (Z1 = Y1 | -s_col(Y1,Z1,X) | -s_r(f811(Y,Z,Y1,Z1,X),X,g811(Y,Z,Y1,Z1,X)) | -s_col(Y,Z,X) | Z = Y | perpAt(Y,Z,X,Y1,Z1)) & (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)) & (-perpAt(Y,Z,X,Y1,Z1) | s_r(U,X,V) | -s_col(Y1,Z1,V) | -s_col(Y,Z,U)) & (-perpAt(Y,Z,X,Y1,Z1) | Z != Y) & (-perpAt(Y,Z,X,Y1,Z1) | s_col(Y,Z,X)))) # label(d_Defn8_11a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	130 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((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(Xa1,Xm1,Xb1)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa2,Xm2,Xb2)) & (-s_m(Xa1,Xm1,Xb1) | -s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_e(Xc,Xa2,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2) | -s_t(Xa1,Xc,Xa2)) & (s_e(Xc,Xa1,Xc,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (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].
0.97/1.27	131 (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].
0.97/1.27	132 (all Xa all Xb (-s_col(Xa,Xb,pointOffLine(Xa,Xb)) | Xa = Xb)) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	133 (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].
0.97/1.27	134 (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].
0.97/1.27	135 (all Xa all Xb all Xc all Xd (Xa = Xb | -s_t(Xc,Xa,Xb) | -s_t(Xd,Xa,Xb) | s_t(Xd,Xc,Xb) | s_t(Xc,Xd,Xb))) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.97/1.27	136 (all Xa all Xm all Xb ((-s_t(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | s_m(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].
0.97/1.27	137 (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].
0.97/1.27	138 (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].
0.97/1.27	139 -(all Xa all Xb all Xp all Xq all Xcx all U all V (-s_col(Xp,Xq,Xcx) | -s_col(Xa,Xb,Xcx) | -s_col(Xp,Xq,V) | Xcx = V | perpAt(Xa,Xb,Xcx,Xp,Xq) | -s_r(U,Xcx,V) | Xcx = U | -s_col(Xa,Xb,U) | Xq = Xp | Xa = Xb)) # label(aSatz8_13b) # label(negated_conjecture) # label(non_clause).  [assumption].
0.97/1.27	
0.97/1.27	============================== end of process non-clausal formulas ===
0.97/1.27	
0.97/1.27	============================== PROCESS INITIAL CLAUSES ===============
0.97/1.27	
0.97/1.27	============================== PREDICATE ELIMINATION =================
0.97/1.27	140 -s_e3(A,B,C,D,E,F) | -s_e(B,V6,E,V7) | s_fs(A,B,C,V6,D,E,F,V7) | -s_e(A,V6,D,V7) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(13)].
0.97/1.28	141 -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(13)].
0.97/1.28	142 -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn4_15) # label(axiom).  [clausify(13)].
0.97/1.28	143 s_e(A,B,C,D) | -s_fs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_15) # label(axiom).  [clausify(13)].
0.97/1.28	144 s_col(A,B,C) | -s_fs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_15) # label(axiom).  [clausify(13)].
0.97/1.28	145 A = B | s_e(C,D,E,F) | -s_fs(B,A,C,D,V6,V7,E,F) # label(aSatz4_16) # label(axiom).  [clausify(87)].
0.97/1.28	Derived: A = B | s_e(C,D,E,F) | -s_e3(B,A,C,V6,V7,E) | -s_e(A,D,V7,F) | -s_e(B,D,V6,F) | -s_col(B,A,C).  [resolve(145,c,140,c)].
0.97/1.28	146 -s_m(A,B,C) | -s_m(D,E,F) | s_kf(A,B,C,V6,F,E,D) | -s_e(V6,D,V6,F) | -s_e(V6,A,V6,C) | -s_t(C,V6,F) | -s_t(A,V6,D) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	147 s_t(A,B,C) | -s_kf(D,A,E,B,F,C,V6) # label(aSatz7_22b) # label(axiom).  [clausify(32)].
0.97/1.28	148 s_e(A,B,A,C) | -s_kf(D,E,F,A,C,V6,B) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	149 -s_kf(A,B,C,D,E,F,V6) | s_m(A,B,C) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	150 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	Derived: -s_m(A,B,C) | -s_m(D,E,F) | -s_e(V6,D,V6,F) | -s_e(V6,A,V6,C) | -s_t(C,V6,F) | -s_t(A,V6,D) | s_t(B,V6,E).  [resolve(146,c,147,b)].
0.97/1.28	151 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	152 s_t(A,B,C) | -s_kf(D,E,A,B,C,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	153 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom).  [clausify(130)].
0.97/1.28	154 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(133)].
0.97/1.28	155 -s_e(A,B,C,D) | -s_e(E,B,F,D) | s_e3(A,E,B,C,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom).  [clausify(81)].
0.97/1.28	156 -s_col(A,B,C) | s_col(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(34)].
0.97/1.28	157 -s_e3(A,B,C,D,E,F) | s_r(D,E,F) | -s_r(A,B,C) # label(aSatz8_10) # label(axiom).  [clausify(42)].
0.97/1.28	158 -s_t(A,B,C) | -s_e3(A,B,C,D,E,F) | s_t(D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(75)].
0.97/1.28	159 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom).  [clausify(81)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | -s_col(A,E,B) | s_col(C,F,D).  [resolve(155,c,156,c)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | s_r(C,F,D) | -s_r(A,E,B).  [resolve(155,c,157,a)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) | -s_t(A,E,B) | s_t(C,F,D).  [resolve(155,c,158,b)].
0.97/1.28	160 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom).  [clausify(81)].
0.97/1.28	161 -s_e3(A,B,C,D,E,F) | s_e(A,B,D,E) # label(d_Defn4_4) # label(axiom).  [clausify(81)].
0.97/1.28	162 -s_col(A,B,C) | s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) # label(aSatz4_14) # label(axiom).  [clausify(97)].
0.97/1.28	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | -s_col(A,B,C) | s_col(D,E,insert5(A,B,C,D,E)).  [resolve(162,b,156,c)].
0.97/1.28	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_r(D,E,insert5(A,B,C,D,E)) | -s_r(A,B,C).  [resolve(162,b,157,a)].
0.97/1.28	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | -s_t(A,B,C) | s_t(D,E,insert5(A,B,C,D,E)).  [resolve(162,b,158,b)].
0.97/1.28	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_e(B,C,E,insert5(A,B,C,D,E)).  [resolve(162,b,159,a)].
0.97/1.28	Derived: -s_col(A,B,C) | -s_e(A,B,D,E) | s_e(A,C,D,insert5(A,B,C,D,E)).  [resolve(162,b,160,b)].
0.97/1.28	163 s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C) # label(aSatz4_5) # label(axiom).  [clausify(102)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | -s_col(A,E,B) | s_col(C,insert(A,E,C,D),D).  [resolve(163,a,156,c)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_r(C,insert(A,E,C,D),D) | -s_r(A,E,B).  [resolve(163,a,157,a)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | -s_t(A,E,B) | s_t(C,insert(A,E,C,D),D).  [resolve(163,a,158,b)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(E,B,insert(A,E,C,D),D).  [resolve(163,a,159,a)].
0.97/1.28	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(A,E,C,insert(A,E,C,D)).  [resolve(163,a,161,a)].
0.97/1.28	164 A = B | s_e(C,D,E,F) | -s_e3(B,A,C,V6,V7,E) | -s_e(A,D,V7,F) | -s_e(B,D,V6,F) | -s_col(B,A,C).  [resolve(145,c,140,c)].
3.26/3.55	Derived: A = B | s_e(C,D,E,F) | -s_e(A,D,V6,F) | -s_e(B,D,V7,F) | -s_col(B,A,C) | -s_e(B,C,V7,E) | -s_e(A,C,V6,E) | -s_e(B,A,V7,V6).  [resolve(164,c,155,c)].
3.26/3.55	Derived: A = B | s_e(C,D,insert5(B,A,C,E,F),V6) | -s_e(A,D,F,V6) | -s_e(B,D,E,V6) | -s_col(B,A,C) | -s_col(B,A,C) | -s_e(B,A,E,F).  [resolve(164,c,162,b)].
3.26/3.55	Derived: A = B | s_e(C,D,E,F) | -s_e(A,D,insert(B,A,V6,E),F) | -s_e(B,D,V6,F) | -s_col(B,A,C) | -s_e(B,C,V6,E) | -s_t(B,A,C).  [resolve(164,c,163,a)].
3.26/3.55	165 -s_t(A,B,C) | -s_e(D,E,A,B) | -s_e(D,F,A,V6) | s_afs(D,E,V7,F,A,B,C,V6) | -s_e(E,F,B,V6) | -s_e(E,V7,B,C) | -s_t(D,E,V7) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	166 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	167 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	168 s_e(A,B,C,D) | -s_afs(A,E,F,B,C,V6,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	169 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	170 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	171 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(36)].
3.26/3.55	172 -s_t(A,B,C) | -s_e(D,E,A,C) | -s_e(F,E,B,C) | -s_e(E,V6,C,V7) | s_ifs(D,F,E,V6,A,B,C,V7) | -s_e(D,V6,A,V7) | -s_t(D,F,E) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	173 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom).  [clausify(51)].
3.26/3.55	174 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	175 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	176 s_e(A,B,C,D) | -s_ifs(E,A,B,F,V6,C,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	Derived: -s_t(A,B,C) | -s_e(D,E,A,C) | -s_e(F,E,B,C) | -s_e(E,V6,C,V7) | -s_e(D,V6,A,V7) | -s_t(D,F,E) | s_e(F,V6,B,V7).  [resolve(172,e,173,b)].
3.26/3.55	177 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	178 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	179 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6) # label(d_Defn4_1) # label(axiom).  [clausify(95)].
3.26/3.55	
3.26/3.55	============================== end predicate elimination =============
3.26/3.55	
3.26/3.55	Auto_denials:  (non-Horn, no changes).
3.26/3.55	
3.26/3.55	Term ordering decisions:
3.26/3.55	Function symbol KB weights:  alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=1. s=1. pointOffLine=1. c63=1. isomidpoint=1. insert=1. ext=1. ins=1. il=1. insert5=1. f811=1. f813=1. g811=1. g813=1. ip=1. crossbar=1.
3.26/3.55	
3.26/3.55	============================== end of process initial clauses ========
3.26/3.55	
3.26/3.55	============================== CLAUSES FOR SEARCH ====================
3.26/3.55	
3.26/3.55	============================== end of clauses for search =============
3.26/3.55	
3.26/3.55	============================== SEARCH ================================
3.26/3.55	
3.26/3.55	% Starting search at 0.06 seconds.
3.26/3.55	
3.26/3.55	Low Water (keep): wt=42.000, iters=3726
3.26/3.55	
3.26/3.55	Low Water (keep): wt=36.000, iters=3369
3.26/3.55	
3.26/3.55	Low Water (keep): wt=34.000, iters=3717
3.26/3.55	
3.26/3.55	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 171 (0.00 of 0.73 sec).
3.26/3.55	
3.26/3.55	Low Water (keep): wt=29.000, iters=3354
3.26/3.55	
3.26/3.55	Low Water (keep): wt=27.000, iters=3343
3.26/3.55	
3.26/3.55	Low Water (keep): wt=26.000, iters=3393
3.26/3.55	
3.26/3.55	Low Water (keep): wt=25.000, iters=3336
3.26/3.55	
3.26/3.55	Low Water (keep): wt=24.000, iters=3343
3.26/3.55	
3.26/3.55	Low Water (keep): wt=23.000, iters=3333
3.26/3.55	
3.26/3.55	Low Water (keep): wt=22.000, iters=3336
3.26/3.55	
3.26/3.55	Low Water (keep): wt=21.000, iters=3351
3.26/3.55	
3.26/3.55	Low Water (keep): wt=20.000, iters=3373
3.26/3.55	
3.26/3.55	Low Water (keep): wt=19.000, iters=3389
3.26/3.55	
3.26/3.55	Low Water (keep): wt=18.000, iters=3346
3.26/3.55	
3.26/3.55	Low Water (keep): wt=17.000, iters=3346
3.26/3.55	
3.26/3.55	Low Water (keep): wt=16.000, iters=3452
3.26/3.55	
3.26/3.55	Low Water (keep): wt=15.000, iters=3337
3.26/3.55	
3.26/3.55	Low Water (keep): wt=14.000, iters=3342
3.26/3.55	
3.26/3.55	Low Water (keep): wt=13.000, iters=3335
3.26/3.55	
3.26/3.55	Low Water (displace): id=3783, wt=82.000
3.26/3.55	
3.26/3.55	Low Water (displace): id=3796, wt=74.000
3.26/3.55	
3.26/3.55	Low Water (displace): id=3818, wt=72.000
3.26/3.55	
3.26/3.55	Low Water (displace): id=3879, wt=71.000
3.26/3.55	
3.26/3.55	Low Water (displace): id=3858, wt=70.000
3.26/3.55	
3.26/3.55	Low WateAlarm clock 
119.58/120.03	Prover9 interrupted
119.58/120.03	EOF