0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.12	% Command    : tptp2X_and_run_prover9 %d %s
0.13/0.34	% Computer   : n004.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% DateTime   : Thu Jul  2 08:47:13 EDT 2020
0.13/0.34	% CPUTime    : 
0.78/1.07	============================== Prover9 ===============================
0.78/1.07	Prover9 (32) version 2009-11A, November 2009.
0.78/1.07	Process 2435 was started by sandbox on n004.cluster.edu,
0.78/1.07	Thu Jul  2 08:47:14 2020
0.78/1.07	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_2276_n004.cluster.edu".
0.78/1.07	============================== end of head ===========================
0.78/1.07	
0.78/1.07	============================== INPUT =================================
0.78/1.07	
0.78/1.07	% Reading from file /tmp/Prover9_2276_n004.cluster.edu
0.78/1.07	
0.78/1.07	set(prolog_style_variables).
0.78/1.07	set(auto2).
0.78/1.07	    % set(auto2) -> set(auto).
0.78/1.07	    % set(auto) -> set(auto_inference).
0.78/1.07	    % set(auto) -> set(auto_setup).
0.78/1.07	    % set(auto_setup) -> set(predicate_elim).
0.78/1.07	    % set(auto_setup) -> assign(eq_defs, unfold).
0.78/1.07	    % set(auto) -> set(auto_limits).
0.78/1.07	    % set(auto_limits) -> assign(max_weight, "100.000").
0.78/1.07	    % set(auto_limits) -> assign(sos_limit, 20000).
0.78/1.07	    % set(auto) -> set(auto_denials).
0.78/1.07	    % set(auto) -> set(auto_process).
0.78/1.07	    % set(auto2) -> assign(new_constants, 1).
0.78/1.07	    % set(auto2) -> assign(fold_denial_max, 3).
0.78/1.07	    % set(auto2) -> assign(max_weight, "200.000").
0.78/1.07	    % set(auto2) -> assign(max_hours, 1).
0.78/1.07	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.78/1.07	    % set(auto2) -> assign(max_seconds, 0).
0.78/1.07	    % set(auto2) -> assign(max_minutes, 5).
0.78/1.07	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.78/1.07	    % set(auto2) -> set(sort_initial_sos).
0.78/1.07	    % set(auto2) -> assign(sos_limit, -1).
0.78/1.07	    % set(auto2) -> assign(lrs_ticks, 3000).
0.78/1.07	    % set(auto2) -> assign(max_megs, 400).
0.78/1.07	    % set(auto2) -> assign(stats, some).
0.78/1.07	    % set(auto2) -> clear(echo_input).
0.78/1.07	    % set(auto2) -> set(quiet).
0.78/1.07	    % set(auto2) -> clear(print_initial_clauses).
0.78/1.07	    % set(auto2) -> clear(print_given).
0.78/1.07	assign(lrs_ticks,-1).
0.78/1.07	assign(sos_limit,10000).
0.78/1.07	assign(order,kbo).
0.78/1.07	set(lex_order_vars).
0.78/1.07	clear(print_given).
0.78/1.07	
0.78/1.07	% formulas(sos).  % not echoed (123 formulas)
0.78/1.07	
0.78/1.07	============================== end of input ==========================
0.78/1.07	
0.78/1.07	% From the command line: assign(max_seconds, 960).
0.78/1.07	
0.78/1.07	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.78/1.07	
0.78/1.07	% Formulas that are not ordinary clauses:
0.78/1.07	1 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	2 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	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].
0.78/1.07	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].
0.78/1.07	5 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	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].
0.78/1.07	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].
0.78/1.07	8 (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].
0.78/1.07	9 (all Xa all Xc all Xb all Xc1 (-s_t(Xa,Xc,Xb) | -s_e(Xa,Xc,Xa,Xc1) | Xc = Xc1 | -s_e(Xb,Xc,Xb,Xc1))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	10 (all Xq all Xa all Xd all Xb all Xc (Xq = Xa | -s_e(Xa,Xd,Xb,Xc) | ext(Xq,Xa,Xb,Xc) = Xd | -s_t(Xq,Xa,Xd))) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	11 (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].
0.78/1.07	12 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xp = Xr | Xq = Xp)) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	13 (all Xa all Xb all Xd all Xc (s_t(Xa,Xb,Xc) | s_t(Xa,Xc,Xb) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	14 (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].
0.78/1.07	15 (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_t(Xa,Xb,Xc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xb,Za,Zb) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xb,Xd,Zb,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xa,Xd,Za,Zd) | -s_t(Za,Zb,Zc)) & (s_e(Xb,Xd,Zb,Zd) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xa,Xd,Za,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_t(Za,Zb,Zc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	16 (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].
0.78/1.07	17 (all Xa all Xp all Xb all Xc (Xa = Xp | Xc = Xp | sameside(Xa,Xp,Xb) | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xp = Xb)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	18 (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].
0.78/1.07	19 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	20 (all Xp all Xq (Xq = Xp | s_col(Xp,Xq,Xp))) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	21 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xa = Xp)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	22 (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].
0.78/1.07	23 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	24 (all Xa all Xb all Xc all Xd (le(Xa,Xb,Xc,Xd) | le(Xc,Xd,Xa,Xb))) # label(aSatz5_10) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	25 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all 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(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)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	26 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_t(Xa,Xb,Xc) | -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(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	27 (all Xa all Xb all Xc (s_col(Xa,Xc,Xb) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11e) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	28 (all Xa all Xp all Xb ((Xb != Xp | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (s_t(Xa,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xp != c63(Xa,Xp,Xb)) & (Xp != Xa | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	29 (all Xa all Xb all Xc all Xp all Xq (Xb = Xa | -s_col(Xa,Xb,Xc) | -s_e(Xb,Xp,Xb,Xq) | s_e(Xc,Xp,Xc,Xq) | -s_e(Xa,Xp,Xa,Xq))) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	30 (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].
0.78/1.07	31 (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].
0.78/1.07	32 (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].
0.78/1.07	33 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_e(Xa,Xb,Xa1,Xb1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_col(Xa,Xb,Xc))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	34 (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].
0.78/1.07	35 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xb,Xa,Xc))) # label(aSatz4_11d) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	36 (all Xp all Xq all Xr all Xa (Xp = Xq | Xr = Xp | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr))) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	37 (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].
0.78/1.07	38 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	39 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,Xb) | Xb = Xc)) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	40 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((s_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (s_e(Xc,Xa1,Xc,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa1,Xm1,Xb1)) & (-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_m(Xa1,Xm1,Xb1) | -s_m(Xa2,Xm2,Xb2) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_e(Xc,Xa1,Xc,Xb1)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa2,Xc,Xb2)) & (s_t(Xb1,Xc,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	41 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	42 (all Xp all Xq all Xr all Xa (Xp = Xr | -s_t(Xq,Xp,Xr) | -s_col(Xa,Xp,Xq) | sameside(Xa,Xp,Xq) | sameside(Xa,Xp,Xr) | Xa = Xp | Xp = Xq)) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	43 (all Xp all Xq all Xr all Xa (Xp = Xq | Xr = Xp | -s_t(Xq,Xp,Xr) | Xp != Xa | s_col(Xa,Xp,Xq))) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	44 (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) | Xa = Xb | s_e(Xc,Xd,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	45 (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].
0.78/1.07	46 (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].
0.78/1.07	47 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	48 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xa,Xb,Xc,Xd) | -s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	49 (all Xp all Xa all Xq (Xq = s(Xa,Xp) | -s_m(Xp,Xa,Xq))) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	50 (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].
0.78/1.07	51 (all Xr all Xa all Xb all Xc all Xp all Xq (Xr = Xa | -s_e(Xa,Xp,Xb,Xc) | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xq,Xb,Xc) | Xp = Xq | -sameside(Xp,Xa,Xr) | Xc = Xb)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	52 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xc = Xb | s_t(Xa,Xb,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	53 (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].
0.78/1.07	54 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	55 (all Xb all Xc all Xa (Xb = Xc | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	56 (all Xa all Xb all Xp all Xq all Xr (Xa = Xb | Xp = Xq | -s_col(Xp,Xq,Xa) | -s_col(Xp,Xq,Xb) | -s_col(Xp,Xq,Xr) | s_col(Xa,Xb,Xr))) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	57 (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].
0.78/1.07	58 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	59 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | Xc = Xb)) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	60 (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].
0.78/1.07	61 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xa,Xc,Xa1,Xc1))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	62 (all Xa all Xp all Xb (-le(Xp,Xa,Xp,Xb) | s_t(Xp,Xa,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	63 (all Xa all Xp all Xb (s(Xb,Xp) != s(Xa,Xp) | Xb = Xa)) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	64 (all Xa all Xb all Xc all Xd all Y ((-le(Xa,Xb,Xc,Xd) | s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)) & (-le(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd))) & (-s_e(Xa,Xb,Xc,Y) | le(Xa,Xb,Xc,Xd) | -s_t(Xc,Y,Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	65 (all Xa all Xp (s(Xa,Xp) = Xp | Xa != Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	66 (all Xp all Xq all Xr (s_col(Xq,Xp,Xr) | -s_col(Xp,Xq,Xr) | Xq = Xp)) # label(aSatz6_17b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	67 (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].
0.78/1.07	68 (all Xa all Xb (Xa = Xb | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	69 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -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) | -s_e(Xb,Xd,Xb1,Xd1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (-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) | s_e(Xa,Xd,Xa1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	70 (all Xa all Xm (Xm = Xa | -s_m(Xa,Xm,Xa))) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	71 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	72 (all Xa all Xb all Xc all Xc1 (Xa = Xb | -s_e(Xa,Xc,Xa,Xc1) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	73 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | le(Xa,Xb,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	74 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	75 (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].
0.78/1.07	76 (all Xa all Xb all Xc all XA all XB all XC (-s_t(XA,XB,XC) | -s_e(Xa,Xb,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	77 (all Xr all Xa all Xb all Xc ((Xa = Xr | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xc = Xb) & (Xa = Xr | Xb = Xc | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc)))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	78 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xr) | Xq = Xr | -s_m(Xp,Xa,Xq))) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	79 (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].
0.78/1.07	80 (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].
0.78/1.07	81 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xp != Xb) & (s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa) | -sameside(Xa,Xp,Xb)) & (-s_t(Xp,Xa,Xb) | sameside(Xa,Xp,Xb) | xb = Xp | Xa = Xp) & (Xa = Xp | Xp = Xb | sameside(Xa,Xp,Xb) | -s_t(Xp,Xb,Xa)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	82 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xd) | s_t(Xb,Xd,Xc) | s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc) | Xb = Xa)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	83 (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_16a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	84 (all Xa all Xm (Xa != Xm | s_m(Xa,Xm,Xa))) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	85 (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].
0.78/1.07	86 (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].
0.78/1.07	87 (all Xp all Xq all Xcs all Xr (Xq = Xp | -s_col(Xp,Xq,Xcs) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr) | Xcs = Xp)) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	88 (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_16b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	89 (all Xa all Xm all Xb ((s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)) & (s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	90 (all Xa all Xp all Xb all Xc (Xc = Xp | -s_t(Xa,Xp,Xc) | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | Xb = Xp | Xa = Xp)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	91 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | -le(Xa,Xb,Xa,Xc) | -le(Xb,Xc,Xa,Xc) | s_t(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	92 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	93 (all Xa all Xb all Xc all Xd all Xe (le(Xa,Xb,Xc,Xd) | -s_t(Xa,Xb,Xe) | -s_e(Xa,Xe,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	94 (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].
0.78/1.07	95 (all Xa all Xb all Xc ((-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xa) | s_t(Xc,Xa,Xb)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (-s_t(Xb,Xc,Xa) | s_col(Xa,Xb,Xc)) & (-s_t(Xa,Xb,Xc) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	96 (all Xa all Xp all Xq (Xq = Xp | s(Xa,Xq) != s(Xa,Xp))) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	97 (all Xa all Xp all Xb ((-s_t(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_col(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	98 (all Xa all Xp all Xb all Xc (Xp = Xa | Xp = Xc | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xb = Xp | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	99 (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].
0.78/1.07	100 (all Xa all Xb all Xc all Xd (Xa = Xb | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.07	101 (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].
0.78/1.08	102 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xq = Xp | -s_col(Xa,Xb,Xc) | Xd = Xc | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | -s_col(Xp,Xq,Xd) | -s_col(Xa,Xb,Xd) | -s_col(Xp,Xq,Xc) | Xb = Xa)) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	103 (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].
0.78/1.08	104 (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].
0.78/1.08	105 (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_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xd,Za,Zd) | -s_e(Xc,Xd,Zc,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_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(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(Za,Zb,Zc)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	106 (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].
0.78/1.08	107 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa1,Xb1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -sameside(Xa,Xb,Xc))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	108 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	109 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	110 (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].
0.78/1.08	111 (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].
0.78/1.08	112 (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].
0.78/1.08	113 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	114 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	115 (all Xa all Xp (s(Xa,Xp) != Xp | Xa = Xp)) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	116 (all Xa all Xp all Xr all Xq (s(Xa,Xp) != Xr | Xp = Xq | Xr != s(Xa,Xq))) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.78/1.08	117 -(all Xa all Xb all Xp (Xb = Xa | s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp)))) # label(aSatz7_19) # label(negated_conjecture) # label(non_clause).  [assumption].
0.78/1.08	
0.78/1.08	============================== end of process non-clausal formulas ===
0.78/1.08	
0.78/1.08	============================== PROCESS INITIAL CLAUSES ===============
0.78/1.08	
0.78/1.08	============================== PREDICATE ELIMINATION =================
0.78/1.08	118 -s_t(A,B,C) | -s_e(A,B,D,E) | -s_e(B,C,E,F) | -s_e(B,V6,E,V7) | s_afs(A,B,C,V6,D,E,F,V7) | -s_e(A,V6,D,V7) | -s_t(D,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	119 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(A,B,C) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	120 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	121 s_e(A,B,C,D) | -s_afs(E,A,F,B,V6,C,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	122 s_e(A,B,C,D) | -s_afs(A,E,F,B,C,V6,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	123 s_e(A,B,C,D) | -s_afs(A,B,E,F,C,D,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	124 s_t(A,B,C) | -s_afs(D,E,F,V6,A,B,C,V7) # label(d_Defn2_10) # label(axiom).  [clausify(15)].
0.78/1.08	125 -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(25)].
0.81/1.08	126 -s_e3(A,B,C,D,E,F) | s_e(A,B,D,E) # label(d_Defn4_4) # label(axiom).  [clausify(25)].
0.81/1.08	127 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom).  [clausify(25)].
0.81/1.08	128 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom).  [clausify(25)].
0.81/1.08	129 -s_t(A,B,C) | -s_e(A,C,D,E) | s_e3(A,B,C,D,insert(A,B,D,E),E) # label(aSatz4_5) # label(axiom).  [clausify(26)].
0.81/1.08	Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_e(A,B,D,insert(A,B,D,E)).  [resolve(129,c,126,a)].
0.81/1.08	Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_e(B,C,insert(A,B,D,E),E).  [resolve(129,c,128,a)].
0.81/1.08	130 -s_e(A,B,C,D) | s_e3(A,B,E,C,D,insert5(A,B,E,C,D)) | -s_col(A,B,E) # label(aSatz4_14) # label(axiom).  [clausify(33)].
0.81/1.08	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(A,E,C,insert5(A,B,E,C,D)).  [resolve(130,b,127,b)].
0.81/1.08	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(B,E,D,insert5(A,B,E,C,D)).  [resolve(130,b,128,a)].
0.81/1.08	131 -s_col(A,B,C) | s_col(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(37)].
0.81/1.08	Derived: -s_col(A,B,C) | s_col(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,B,D,E).  [resolve(131,c,125,c)].
0.81/1.08	Derived: -s_col(A,B,C) | s_col(D,insert(A,B,D,E),E) | -s_t(A,B,C) | -s_e(A,C,D,E).  [resolve(131,c,129,c)].
0.81/1.08	Derived: -s_col(A,B,C) | s_col(D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) | -s_col(A,B,C).  [resolve(131,c,130,b)].
0.81/1.08	132 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(69)].
0.81/1.08	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F).  [resolve(132,a,126,a)].
0.81/1.08	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6).  [resolve(132,a,127,b)].
0.81/1.08	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6).  [resolve(132,a,128,a)].
0.81/1.08	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | -s_col(A,B,C) | s_col(E,F,V6).  [resolve(132,a,131,c)].
0.81/1.08	133 -s_col(A,B,C) | s_fs(A,B,C,D,E,F,V6,V7) | -s_e(B,D,F,V7) | -s_e(A,D,E,V7) | -s_e3(A,B,C,E,F,V6) # label(d_Defn4_15) # label(axiom).  [clausify(69)].
0.81/1.08	Derived: -s_col(A,B,C) | s_fs(A,B,C,D,E,F,V6,V7) | -s_e(B,D,F,V7) | -s_e(A,D,E,V7) | -s_e(A,C,E,V6) | -s_e(B,C,F,V6) | -s_e(A,B,E,F).  [resolve(133,e,125,c)].
0.81/1.08	Derived: -s_col(A,B,C) | s_fs(A,B,C,D,E,insert(A,B,E,F),F,V6) | -s_e(B,D,insert(A,B,E,F),V6) | -s_e(A,D,E,V6) | -s_t(A,B,C) | -s_e(A,C,E,F).  [resolve(133,e,129,c)].
0.81/1.08	Derived: -s_col(A,B,C) | s_fs(A,B,C,D,E,F,insert5(A,B,C,E,F),V6) | -s_e(B,D,F,V6) | -s_e(A,D,E,V6) | -s_e(A,B,E,F) | -s_col(A,B,C).  [resolve(133,e,130,b)].
0.81/1.08	Derived: -s_col(A,B,C) | s_fs(A,B,C,D,E,F,V6,V7) | -s_e(B,D,F,V7) | -s_e(A,D,E,V7) | -s_fs(A,B,C,V8,E,F,V6,V9).  [resolve(133,e,132,a)].
0.81/1.08	134 -s_t(A,B,C) | -s_e3(A,B,C,D,E,F) | s_t(D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(85)].
0.81/1.08	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,B,D,E).  [resolve(134,b,125,c)].
0.81/1.08	Derived: -s_t(A,B,C) | s_t(D,insert(A,B,D,E),E) | -s_t(A,B,C) | -s_e(A,C,D,E).  [resolve(134,b,129,c)].
0.81/1.08	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(134,b,130,b)].
0.81/1.08	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7).  [resolve(134,b,132,a)].
0.81/1.08	135 -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,C,B,E) | -s_m(A,F,D) | -s_m(C,V6,E) | s_kf(A,F,D,B,E,V6,C) | -s_e(B,A,B,D) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	136 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	137 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	138 -s_kf(A,B,C,D,E,F,V6) | s_m(A,B,C) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	139 -s_kf(A,B,C,D,E,F,V6) | s_m(V6,F,E) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	140 -s_kf(A,B,C,D,E,F,V6) | s_e(D,V6,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	141 s_t(A,B,C) | -s_kf(D,E,A,B,C,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(40)].
0.81/1.08	142 -s_t(A,B,C) | -s_t(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,V6,D,V7) | -s_e(C,V6,F,V7) | s_ifs(A,B,C,V6,D,E,F,V7) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
0.81/1.08	143 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom).  [clausify(75)].
8.19/8.49	144 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	Derived: -s_t(A,B,C) | -s_t(D,E,F) | -s_e(A,C,D,F) | -s_e(B,C,E,F) | -s_e(A,V6,D,V7) | -s_e(C,V6,F,V7) | s_e(B,V6,E,V7).  [resolve(142,g,143,b)].
8.19/8.49	145 s_e(A,B,C,D) | -s_ifs(E,F,A,B,V6,V7,C,D) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	146 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	147 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	148 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	149 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(105)].
8.19/8.49	
8.19/8.49	============================== end predicate elimination =============
8.19/8.49	
8.19/8.49	Auto_denials:  (non-Horn, no changes).
8.19/8.49	
8.19/8.49	Term ordering decisions:
8.19/8.49	Function symbol KB weights:  alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. s=1. pointOffLine=1. c63=1. insert=1. ext=1. ins=1. insert5=1. ip=1. crossbar=1.
8.19/8.49	
8.19/8.49	============================== end of process initial clauses ========
8.19/8.49	
8.19/8.49	============================== CLAUSES FOR SEARCH ====================
8.19/8.49	
8.19/8.49	============================== end of clauses for search =============
8.19/8.49	
8.19/8.49	============================== SEARCH ================================
8.19/8.49	
8.19/8.49	% Starting search at 0.03 seconds.
8.19/8.49	
8.19/8.49	Low Water (keep): wt=56.000, iters=3368
8.19/8.49	
8.19/8.49	Low Water (keep): wt=51.000, iters=3412
8.19/8.49	
8.19/8.49	Low Water (keep): wt=47.000, iters=3386
8.19/8.49	
8.19/8.49	Low Water (keep): wt=44.000, iters=3334
8.19/8.49	
8.19/8.49	Low Water (keep): wt=42.000, iters=3333
8.19/8.49	
8.19/8.49	Low Water (keep): wt=41.000, iters=3422
8.19/8.49	
8.19/8.49	Low Water (keep): wt=40.000, iters=3395
8.19/8.49	
8.19/8.49	Low Water (keep): wt=39.000, iters=3355
8.19/8.49	
8.19/8.49	Low Water (keep): wt=38.000, iters=3338
8.19/8.49	
8.19/8.49	Low Water (keep): wt=36.000, iters=3480
8.19/8.49	
8.19/8.49	Low Water (keep): wt=34.000, iters=3354
8.19/8.49	
8.19/8.49	Low Water (keep): wt=33.000, iters=3380
8.19/8.49	
8.19/8.49	Low Water (keep): wt=32.000, iters=3333
8.19/8.49	
8.19/8.49	Low Water (keep): wt=30.000, iters=3336
8.19/8.49	
8.19/8.49	Low Water (keep): wt=29.000, iters=3429
8.19/8.49	
8.19/8.49	Low Water (keep): wt=28.000, iters=3379
8.19/8.49	
8.19/8.49	Low Water (keep): wt=27.000, iters=3439
8.19/8.49	
8.19/8.49	Low Water (keep): wt=26.000, iters=3333
8.19/8.49	
8.19/8.49	Low Water (keep): wt=25.000, iters=3337
8.19/8.49	
8.19/8.49	Low Water (keep): wt=24.000, iters=3365
8.19/8.49	
8.19/8.49	Low Water (keep): wt=23.000, iters=3360
8.19/8.49	
8.19/8.49	Low Water (keep): wt=22.000, iters=3339
8.19/8.49	
8.19/8.49	Low Water (keep): wt=20.000, iters=5026
8.19/8.49	
8.19/8.49	Low Water (keep): wt=18.000, iters=3814
8.19/8.49	
8.19/8.49	Low Water (displace): id=3969, wt=98.000
8.19/8.49	
8.19/8.49	Low Water (displace): id=2419, wt=90.000
8.19/8.49	
8.19/8.49	Low Water (displace): id=12375, wt=17.000
8.19/8.49	
8.19/8.49	Low Water (displace): id=12378, wt=13.000
8.19/8.49	
8.19/8.49	Low Water (keep): wt=17.000, iters=3343
8.19/8.49	
8.19/8.49	Low Water (displace): id=12981, wt=12.000
8.19/8.49	
8.19/8.49	Low Water (displace): id=15016, wt=11.000
8.19/8.49	
8.19/8.49	Low Water (keep): wt=15.000, iters=4707
8.19/8.49	
8.19/8.49	Low Water (keep): wt=14.000, iters=3397
8.19/8.49	
8.19/8.49	Low Water (keep): wt=13.000, iters=3355
8.19/8.49	
8.19/8.49	============================== PROOF =================================
8.19/8.49	% SZS status Theorem
8.19/8.49	% SZS output start Refutation
8.19/8.49	
8.19/8.49	% Proof 1 at 7.14 (+ 0.29) seconds.
8.19/8.49	% Length of proof is 45.
8.19/8.49	% Level of proof is 10.
8.19/8.49	% Maximum clause weight is 15.000.
8.19/8.49	% Given clauses 5056.
8.19/8.49	
8.19/8.49	14 (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].
8.19/8.49	23 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	31 (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].
8.19/8.49	32 (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].
8.19/8.49	48 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xa,Xb,Xc,Xd) | -s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	63 (all Xa all Xp all Xb (s(Xb,Xp) != s(Xa,Xp) | Xb = Xa)) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	65 (all Xa all Xp (s(Xa,Xp) = Xp | Xa != Xp)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	89 (all Xa all Xm all Xb ((s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)) & (s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	99 (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].
8.19/8.49	114 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
8.19/8.49	117 -(all Xa all Xb all Xp (Xb = Xa | s(Xb,s(Xa,Xp)) != s(Xa,s(Xb,Xp)))) # label(aSatz7_19) # label(negated_conjecture) # label(non_clause).  [assumption].
8.19/8.49	169 A = B | -s_m(C,A,D) | -s_m(C,B,D) # label(aSatz7_17) # label(axiom).  [clausify(14)].
8.19/8.49	180 s_m(A,B,s(B,A)) # label(aSatz7_4a) # label(axiom).  [clausify(23)].
8.19/8.49	192 s_t(A,B,C) | -s_t(s(D,A),s(D,B),s(D,C)) # label(aSatz7_15b) # label(axiom).  [clausify(31)].
8.19/8.49	193 -s_m(A,B,C) | s_m(C,B,A) # label(aSatz7_2) # label(axiom).  [clausify(32)].
8.19/8.49	205 -s_e(A,B,C,D) | -s_e(C,D,E,F) | s_e(A,B,E,F) # label(aSatz2_3) # label(axiom).  [clausify(48)].
8.19/8.49	220 s(A,B) != s(C,B) | A = C # label(aSatz7_18) # label(axiom).  [clausify(63)].
8.19/8.49	224 s(A,B) = B | B != A # label(aSatz7_10b) # label(axiom).  [clausify(65)].
8.19/8.49	250 s_t(A,B,C) | -s_m(A,B,C) # label(d_Defn7_1) # label(axiom).  [clausify(89)].
8.19/8.49	251 -s_e(A,B,A,C) | s_m(B,A,C) | -s_t(B,A,C) # label(d_Defn7_1) # label(axiom).  [clausify(89)].
8.19/8.49	252 s_e(A,B,A,C) | -s_m(B,A,C) # label(d_Defn7_1) # label(axiom).  [clausify(89)].
8.19/8.49	265 s_e(A,B,s(C,A),s(C,B)) # label(aSatz7_13) # label(axiom).  [clausify(99)].
8.19/8.49	280 s(A,s(A,B)) = B # label(aSatz7_7) # label(axiom).  [clausify(114)].
8.19/8.49	284 c2 != c1 # label(aSatz7_19) # label(negated_conjecture).  [clausify(117)].
8.19/8.49	285 s(c2,s(c1,c3)) = s(c1,s(c2,c3)) # label(aSatz7_19) # label(negated_conjecture).  [clausify(117)].
8.19/8.49	396 A = B | -s_m(C,B,s(A,C)).  [resolve(180,a,169,b)].
8.19/8.49	407 s_m(s(A,B),A,B).  [resolve(193,a,180,a)].
8.19/8.49	467 s(A,A) = A.  [xx_res(224,b)].
8.19/8.49	504 s_t(A,B,s(B,A)).  [resolve(250,b,180,a)].
8.19/8.49	526 -s_e(A,B,C,D) | s_e(A,B,s(E,C),s(E,D)).  [resolve(265,a,205,b)].
8.19/8.49	581 s_t(A,s(B,C),D) | -s_t(s(B,A),C,s(B,D)).  [para(280(a,1),192(b,2))].
8.19/8.49	590 s_e(s(A,B),C,B,s(A,C)).  [para(280(a,1),265(a,3))].
8.19/8.49	607 s(c2,s(c1,s(c2,c3))) = s(c1,c3).  [para(285(a,1),280(a,1,2))].
8.19/8.49	876 s(A,B) != B | A = B.  [para(467(a,1),220(a,2))].
8.19/8.49	892 s_e(A,s(A,B),A,B).  [resolve(407,a,252,b)].
8.19/8.49	941 s_t(s(c1,c3),c2,s(c1,s(c2,c3))).  [para(285(a,1),504(a,3))].
8.19/8.49	3081 -s_e(A,s(B,C),D,E) | s_e(s(B,A),C,D,E).  [resolve(590,a,205,a)].
8.19/8.49	12475 s_e(A,s(A,B),s(C,A),s(C,B)).  [resolve(526,a,892,a)].
8.19/8.49	15853 s_t(c3,s(c1,c2),s(c2,c3)).  [resolve(581,b,941,a)].
8.19/8.49	18859 s_e(A,s(A,s(B,C)),s(B,A),C).  [para(280(a,1),12475(a,4))].
8.19/8.49	21959 s_e(c2,s(c1,c3),s(c1,c2),s(c2,c3)).  [para(607(a,1),18859(a,2))].
8.19/8.49	33833 s_e(s(c1,c2),c3,s(c1,c2),s(c2,c3)).  [resolve(3081,a,21959,a)].
8.19/8.49	36769 s_m(c3,s(c1,c2),s(c2,c3)).  [resolve(33833,a,251,a),unit_del(b,15853)].
8.19/8.49	36770 s(c1,c2) = c2.  [resolve(36769,a,396,b),flip(a)].
8.19/8.49	36906 $F.  [resolve(36770,a,876,a),flip(a),unit_del(a,284)].
8.19/8.49	
8.19/8.49	% SZS output end Refutation
8.19/8.49	============================== end of proof ==========================
8.19/8.49	
8.19/8.49	============================== STATISTICS ============================
8.19/8.49	
8.19/8.49	Given=5056. Generated=498637. Kept=36748. proofs=1.
8.19/8.49	Usable=4445. Sos=9417. Demods=96. Limbo=1, Disabled=23077. Hints=0.
8.19/8.49	Megabytes=18.36.
8.19/8.49	User_CPU=7.14, System_CPU=0.29, Wall_clock=7.
8.19/8.49	
8.19/8.49	============================== end of statistics =====================
8.19/8.49	
8.19/8.49	============================== end of search =========================
8.19/8.49	
8.19/8.49	THEOREM PROVED
8.19/8.49	% SZS status Theorem
8.19/8.49	
8.19/8.49	Exiting with 1 proof.
8.19/8.49	
8.19/8.49	Process 2435 exit (max_proofs) Thu Jul  2 08:47:21 2020
8.19/8.49	Prover9 interrupted
8.19/8.49	EOF