0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : tptp2X_and_run_prover9 %d %s
0.02/0.23	% Computer   : n176.star.cs.uiowa.edu
0.02/0.23	% Model      : x86_64 x86_64
0.02/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.23	% Memory     : 32218.625MB
0.02/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.23	% CPULimit   : 300
0.02/0.23	% DateTime   : Sat Jul 14 05:34:25 CDT 2018
0.02/0.23	% CPUTime    : 
0.41/0.64	============================== Prover9 ===============================
0.41/0.64	Prover9 (32) version 2009-11A, November 2009.
0.41/0.64	Process 61322 was started by sandbox on n176.star.cs.uiowa.edu,
0.41/0.64	Sat Jul 14 05:34:25 2018
0.41/0.64	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 300 -f /tmp/Prover9_61290_n176.star.cs.uiowa.edu".
0.41/0.64	============================== end of head ===========================
0.41/0.64	
0.41/0.64	============================== INPUT =================================
0.41/0.64	
0.41/0.64	% Reading from file /tmp/Prover9_61290_n176.star.cs.uiowa.edu
0.41/0.64	
0.41/0.64	set(prolog_style_variables).
0.41/0.64	set(auto2).
0.41/0.64	    % set(auto2) -> set(auto).
0.41/0.64	    % set(auto) -> set(auto_inference).
0.41/0.64	    % set(auto) -> set(auto_setup).
0.41/0.64	    % set(auto_setup) -> set(predicate_elim).
0.41/0.64	    % set(auto_setup) -> assign(eq_defs, unfold).
0.41/0.64	    % set(auto) -> set(auto_limits).
0.41/0.64	    % set(auto_limits) -> assign(max_weight, "100.000").
0.41/0.64	    % set(auto_limits) -> assign(sos_limit, 20000).
0.41/0.64	    % set(auto) -> set(auto_denials).
0.41/0.64	    % set(auto) -> set(auto_process).
0.41/0.64	    % set(auto2) -> assign(new_constants, 1).
0.41/0.64	    % set(auto2) -> assign(fold_denial_max, 3).
0.41/0.64	    % set(auto2) -> assign(max_weight, "200.000").
0.41/0.64	    % set(auto2) -> assign(max_hours, 1).
0.41/0.64	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.41/0.64	    % set(auto2) -> assign(max_seconds, 0).
0.41/0.64	    % set(auto2) -> assign(max_minutes, 5).
0.41/0.64	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.41/0.64	    % set(auto2) -> set(sort_initial_sos).
0.41/0.64	    % set(auto2) -> assign(sos_limit, -1).
0.41/0.64	    % set(auto2) -> assign(lrs_ticks, 3000).
0.41/0.64	    % set(auto2) -> assign(max_megs, 400).
0.41/0.64	    % set(auto2) -> assign(stats, some).
0.41/0.64	    % set(auto2) -> clear(echo_input).
0.41/0.64	    % set(auto2) -> set(quiet).
0.41/0.64	    % set(auto2) -> clear(print_initial_clauses).
0.41/0.64	    % set(auto2) -> clear(print_given).
0.41/0.64	assign(lrs_ticks,-1).
0.41/0.64	assign(sos_limit,10000).
0.41/0.64	assign(order,kbo).
0.41/0.64	set(lex_order_vars).
0.41/0.64	clear(print_given).
0.41/0.64	
0.41/0.64	% formulas(sos).  % not echoed (123 formulas)
0.41/0.64	
0.41/0.64	============================== end of input ==========================
0.41/0.64	
0.41/0.64	% From the command line: assign(max_seconds, 300).
0.41/0.64	
0.41/0.64	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.41/0.64	
0.41/0.64	% Formulas that are not ordinary clauses:
0.41/0.64	1 (all X all Y all Z (-s_e(X,Y,Z,Z) | Y = X)) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(Y,Z,Y1,Z1) | -s_e(Y,V,Y1,V1) | -s_t(X,Y,Z) | -s_t(X1,Y1,Z1) | X = Y | s_e(Z,V,Z1,V1) | -s_e(X,V,X1,V1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	3 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	4 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	5 (all X all Y all W all V (s_e(Y,ext(X,Y,W,V),W,V) & s_t(X,Y,ext(X,Y,W,V)))) # label(aA4) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	6 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z,V) | -s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	7 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xa,Xp,Xc)) & (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa)))) # label(aA7) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	8 (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_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)) & (-s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | s_e(Xa1,Xa3,Xb1,Xb3)) & (s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	9 (all Xa all Xp all Xb ((s_col(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-s_t(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	10 (all Xp all Xq (s_col(Xp,Xq,Xp) | Xp = Xq)) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	11 (all Xa all Xb all Xc (s_t(Xa,Xb,Xc) | -le(Xb,Xc,Xa,Xc) | -le(Xa,Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	12 (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].
0.41/0.64	13 (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,Xc,Xa1,Xc1) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	14 (all Xa all Xp all Xb (sameside(Xb,Xp,Xa) | -sameside(Xa,Xp,Xb))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	15 (all Xa all Xm (Xm = Xa | -s_m(Xa,Xm,Xa))) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	16 (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_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_e(Xa,Xd,Xa1,Xd1) | s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | -s_col(Xa,Xb,Xc)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	17 (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].
0.41/0.64	18 (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].
0.41/0.64	19 (all Xa all Xp all Xb (-s_col(Xa,Xp,Xb) | s_t(Xa,Xp,Xb) | sameside(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	20 (all Xa all Xp all Xr all Xq (s(Xa,Xq) != Xr | Xp = Xq | Xr != s(Xa,Xp))) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	21 (all Xa all Xb all Xc ((s_t(Xa,Xb,Xc) | s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa) | -s_col(Xa,Xb,Xc)) & (-s_t(Xc,Xa,Xb) | s_col(Xa,Xb,Xc)) & (-s_t(Xb,Xc,Xa) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	22 (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].
0.41/0.64	23 (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].
0.41/0.64	24 (all Xr all Xa all Xb all Xc all Xp all Xq (Xb = Xc | -sameside(Xp,Xa,Xr) | -s_e(Xa,Xp,Xb,Xc) | -sameside(Xq,Xa,Xr) | -s_e(Xa,Xq,Xb,Xc) | Xq = Xp | Xr = Xa)) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	25 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	26 (all Xa all Xc all Xb all Xc1 (-s_e(Xa,Xc,Xa,Xc1) | Xc = Xc1 | -s_e(Xb,Xc,Xb,Xc1) | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	27 (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].
0.41/0.64	28 (all Xa all Xb all Xc all Xd (s_t(Xb,Xc,Xd) | -s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	29 (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_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (s_e(Xa,Xd,Za,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xc,Xd,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xd,Za,Zd) | s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xc,Xd,Zc,Zd) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_t(Za,Zb,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].
0.41/0.64	30 (all Xr all Xa all Xb all Xc ((Xb = Xc | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xa = Xr) & (Xc = Xb | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xa = Xr))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	31 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	32 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | Xp != Xb) & (-s_t(Xp,Xb,Xa) | sameside(Xa,Xp,Xb) | Xb = Xp | Xa = Xp) & (-s_t(Xp,Xa,Xb) | Xa = Xp | xb = Xp | sameside(Xa,Xp,Xb)) & (s_t(Xp,Xa,Xb) | s_t(Xp,Xb,Xa) | -sameside(Xa,Xp,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	33 (all Xa all Xp all Xq (Xp = Xq | s(Xa,Xp) != s(Xa,Xq))) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	34 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	35 (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].
0.41/0.64	36 (all Xa all Xp all Xb (s(Xb,Xp) != s(Xa,Xp) | Xa = Xb)) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	37 (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].
0.41/0.64	38 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xa = Xp)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	39 (all Xa all Xp all Xb all Xc (Xp = Xa | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xp = Xc | Xb = Xp | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	40 (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].
0.41/0.64	41 (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].
0.41/0.64	42 (all Xp all Xa all Xq all Xb (-s_m(Xp,Xb,Xq) | Xb = Xa | -s_m(Xp,Xa,Xq))) # label(aSatz7_17) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	43 (all Xa all Xb all Xc all Xd ((s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)) | -le(Xa,Xb,Xc,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)))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	44 (all Xa all Xb all Xd all Xc (-s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	45 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	46 (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_e(Xb,Xc,Zb,Zc) | -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_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_t(Za,Zb,Zc) | -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_e(Xa,Xb,Za,Zb) | -s_t(Xa,Xb,Xc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	47 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | -s_e(Xb,Xc,Xb,Xc1) | Xc1 = Xc | -s_e(Xa,Xc,Xa,Xc1) | Xb = Xa)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	48 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xa != Xp) & (Xb != Xp | -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)) & (c63(Xa,Xp,Xb) != Xp | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	49 (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].
0.41/0.64	50 (all Xa all Xp (Xa = Xp | Xp != s(Xa,Xp))) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	51 (all Xa all Xb all Xc all XA all XB all XC (-s_t(Xa,Xb,Xc) | -s_t(XA,XB,XC) | -s_e(Xa,Xb,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	52 (all Xa all Xb all Xc (Xc = Xb | -s_e(Xa,Xc,Xa,Xb) | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	53 (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].
0.41/0.64	54 (all Xp all Xq all Xr all Xa (Xr = Xp | -s_t(Xq,Xp,Xr) | Xa != Xp | s_col(Xa,Xp,Xq) | Xp = Xq)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	55 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((s_m(Xa1,Xm1,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (s_m(Xa2,Xm2,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_t(Xa1,Xc,Xa2) | -s_m(Xa1,Xm1,Xb1) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_m(Xa2,Xm2,Xb2) | -s_e(Xc,Xa2,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_t(Xb1,Xc,Xb2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_e(Xc,Xa2,Xc,Xb2)) & (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_t(Xb1,Xc,Xb2)) & (s_t(Xa1,Xc,Xa2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	56 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	57 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	58 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	59 (all Xa all Xb all Xc (s_t(Xc,Xb,Xa) | -s_t(Xa,Xb,Xc))) # label(aSatz3_2) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	60 (all Xa all Xp all Xb all Xc (Xp = Xc | -s_t(Xa,Xp,Xc) | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | Xb = Xp | Xp = Xa)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	61 (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].
0.41/0.64	62 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | Xc = Xb | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	63 (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].
0.41/0.64	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_t(Xc,Y,Xd) | le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y)))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	65 (all Xa all Xb all Xp all Xq all Xr (-s_col(Xp,Xq,Xb) | -s_col(Xp,Xq,Xr) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xa) | Xp = Xq | Xb = Xa)) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	66 (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].
0.41/0.64	67 (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].
0.41/0.64	68 (all Xa all Xb all Xc all Xd (Xa = Xb | s_t(Xc,Xd,Xb) | s_t(Xd,Xc,Xb) | -s_t(Xd,Xa,Xb) | -s_t(Xc,Xa,Xb))) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	69 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr) | Xp = Xr | Xp = Xq)) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	70 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	71 (all Xa all Xp all Xb (-s_t(Xp,Xa,Xb) | le(Xp,Xa,Xp,Xb) | -sameside(Xa,Xp,Xb))) # label(aSatz6_13b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	72 (all Xa all Xb all Xc all Xp all Xq (Xa = Xb | 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].
0.41/0.64	73 (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) | Xa = Xb)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	74 (all Xb all Xa Xb != ext(Xa,Xb,alpha,gamma)) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	75 (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].
0.41/0.64	76 (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].
0.41/0.64	77 (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].
0.41/0.64	78 (all Xp all Xq all Xcs all Xr (Xcs = Xp | -s_col(Xp,Xq,Xcs) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr) | Xp = Xq)) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	79 (all Xa all Xb all Xc all Xd (s_e(Xa,Xb,Xc,Xd) | -le(Xc,Xd,Xa,Xb) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	80 (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].
0.41/0.64	81 (all Xp all Xq all Xr all Xa (s_col(Xa,Xp,Xq) | -sameside(Xa,Xp,Xr) | -s_t(Xq,Xp,Xr) | Xp = Xr | Xq = Xp)) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	82 (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].
0.41/0.64	83 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xc,Xa,Xb))) # label(aSatz4_11b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	84 (all Xa all Xb all Xc all Xd all Xe all Xf (-le(Xa,Xb,Xc,Xd) | le(Xa,Xb,Xe,Xf) | -le(Xc,Xd,Xe,Xf))) # label(aSatz5_8) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	85 (all Xa all Xm (s_m(Xa,Xm,Xa) | Xa != Xm)) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	86 (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].
0.41/0.64	87 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xp,Xa1) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xb,Xc)) & (s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa,Xp,Xa1) | -s_t(Xa1,Xb1,Xc) | -s_t(Xa,Xb,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	88 (all Xp all Xa all Xr all Xq (-s_m(Xp,Xa,Xr) | Xr = Xq | -s_m(Xp,Xa,Xq))) # label(aSatz7_4b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	89 (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].
0.41/0.64	90 (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].
0.41/0.64	91 (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].
0.41/0.64	92 (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].
0.41/0.64	93 (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].
0.41/0.64	94 (all Xa all Xb all Xc all Xd (Xb = Xa | -s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	95 (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].
0.41/0.64	96 (all Xa all Xp all Xb all Xc (Xa = Xp | Xc = Xp | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xp = Xb)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	97 (all Xa all Xb (Xa = Xb | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	98 (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].
0.41/0.64	99 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xb,Xa,Xd,Xc))) # label(aSatz2_14) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	100 (all Xp all Xa all Xq (-s_m(Xp,Xa,Xq) | s(Xa,Xp) = Xq)) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	101 (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].
0.41/0.64	102 (all Xp all Xq all Xr all Xa (Xq = Xp | Xr = Xp | Xp = Xa | sameside(Xa,Xp,Xr) | sameside(Xa,Xp,Xq) | -s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr))) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	103 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xb = Xa | -s_col(Xp,Xq,Xc) | -s_col(Xp,Xq,Xd) | Xd = Xc | s_col(Xp,Xq,Xe) | -s_col(Xa,Xb,Xe) | -s_col(Xa,Xb,Xd) | -s_col(Xa,Xb,Xc) | Xq = Xp)) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	104 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	105 (all Xb all Xc all Xa (Xb = Xc | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	106 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	107 (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].
0.41/0.64	108 (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].
0.41/0.64	109 (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_e(Xc,Xd,Xc1,Xd1) | Xa = Xb)) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	110 (all Xa all Xm all Xb ((s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)) & (s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	111 (all Xq all Xa all Xd all Xb all Xc (-s_e(Xa,Xd,Xb,Xc) | Xd = ext(Xq,Xa,Xb,Xc) | -s_t(Xq,Xa,Xd) | Xq = Xa)) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	112 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	113 (all Xa all Xp (Xp = s(Xa,Xp) | Xp != Xa)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	114 (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].
0.41/0.64	115 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5a) # label(axiom) # label(non_clause).  [assumption].
0.41/0.64	116 (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].
0.41/0.64	117 -(all Xa all Xb all Xp (s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) | Xb = Xa)) # label(aSatz7_19) # label(negated_conjecture) # label(non_clause).  [assumption].
0.41/0.64	
0.41/0.64	============================== end of process non-clausal formulas ===
0.41/0.64	
0.41/0.64	============================== PROCESS INITIAL CLAUSES ===============
0.41/0.64	
0.41/0.64	============================== PREDICATE ELIMINATION =================
0.41/0.64	118 -s_e(A,B,C,D) | s_e3(A,E,B,C,F,D) | -s_e(E,B,F,D) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom).  [clausify(8)].
0.41/0.64	119 -s_e3(A,B,C,D,E,F) | s_e(B,C,E,F) # label(d_Defn4_4) # label(axiom).  [clausify(8)].
0.41/0.64	120 -s_e3(A,B,C,D,E,F) | s_e(A,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(8)].
0.41/0.64	121 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(8)].
0.41/0.64	122 -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(16)].
0.41/0.64	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6).  [resolve(122,b,119,a)].
0.41/0.64	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6).  [resolve(122,b,120,a)].
0.41/0.64	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F).  [resolve(122,b,121,b)].
0.41/0.64	123 -s_e3(A,B,C,D,E,F) | -s_e(A,V6,D,V7) | s_fs(A,B,C,V6,D,E,F,V7) | -s_e(B,V6,E,V7) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(16)].
0.41/0.65	Derived: -s_e(A,B,C,D) | s_fs(A,E,F,B,C,V6,V7,D) | -s_e(E,B,V6,D) | -s_col(A,E,F) | -s_e(A,F,C,V7) | -s_e(E,F,V6,V7) | -s_e(A,E,C,V6).  [resolve(123,a,118,b)].
0.41/0.65	Derived: -s_e(A,B,C,D) | s_fs(A,E,F,B,C,V6,V7,D) | -s_e(E,B,V6,D) | -s_col(A,E,F) | -s_fs(A,E,F,V8,C,V6,V7,V9).  [resolve(123,a,122,b)].
0.41/0.65	124 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(17)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(E,B,insert(A,E,C,D),D).  [resolve(124,a,119,a)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | s_e(A,E,C,insert(A,E,C,D)).  [resolve(124,a,121,b)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_t(A,E,B) | -s_e(A,F,C,V6) | s_fs(A,E,B,F,C,insert(A,E,C,D),D,V6) | -s_e(E,F,insert(A,E,C,D),V6) | -s_col(A,E,B).  [resolve(124,a,123,a)].
0.41/0.65	125 -s_t(A,B,C) | s_t(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(63)].
0.41/0.65	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(125,c,118,b)].
0.41/0.65	Derived: -s_t(A,B,C) | s_t(D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7).  [resolve(125,c,122,b)].
0.41/0.65	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(125,c,124,a)].
0.41/0.65	126 -s_col(A,B,C) | s_col(D,E,F) | -s_e3(A,B,C,D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(67)].
0.41/0.65	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(126,c,118,b)].
0.41/0.65	Derived: -s_col(A,B,C) | s_col(D,E,F) | -s_fs(A,B,C,V6,D,E,F,V7).  [resolve(126,c,122,b)].
0.41/0.65	Derived: -s_col(A,B,C) | s_col(D,insert(A,B,D,E),E) | -s_e(A,C,D,E) | -s_t(A,B,C).  [resolve(126,c,124,a)].
0.41/0.65	127 -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(76)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(B,E,D,insert5(A,B,E,C,D)).  [resolve(127,b,119,a)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(A,E,C,insert5(A,B,E,C,D)).  [resolve(127,b,120,a)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | -s_e(A,F,C,V6) | s_fs(A,B,E,F,C,D,insert5(A,B,E,C,D),V6) | -s_e(B,F,D,V6) | -s_col(A,B,E).  [resolve(127,b,123,a)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | -s_t(A,B,E) | s_t(C,D,insert5(A,B,E,C,D)).  [resolve(127,b,125,c)].
0.41/0.65	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | -s_col(A,B,E) | s_col(C,D,insert5(A,B,E,C,D)).  [resolve(127,b,126,c)].
0.41/0.65	128 -s_t(A,B,C) | -s_e(A,D,E,F) | s_ifs(A,B,C,D,E,V6,V7,F) | -s_e(C,D,V7,F) | -s_e(B,C,V6,V7) | -s_e(A,C,E,V7) | -s_t(E,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	129 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	130 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	131 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	132 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	133 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(C,D,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	134 -s_ifs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn4_1) # label(axiom).  [clausify(29)].
0.41/0.65	135 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom).  [clausify(92)].
0.41/0.65	Derived: s_e(A,B,C,D) | -s_t(E,A,F) | -s_e(E,B,V6,D) | -s_e(F,B,V7,D) | -s_e(A,F,C,V7) | -s_e(E,F,V6,V7) | -s_t(V6,C,V7).  [resolve(135,b,128,c)].
0.41/0.65	136 -s_t(A,B,C) | -s_e(D,E,B,C) | -s_e(D,F,B,V6) | s_afs(V7,D,E,F,A,B,C,V6) | -s_e(V7,F,A,V6) | -s_e(V7,D,A,B) | -s_t(V7,D,E) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	137 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	138 s_e(A,B,C,D) | -s_afs(E,A,B,F,V6,C,D,V7) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	139 s_e(A,B,C,D) | -s_afs(A,E,F,B,C,V6,V7,D) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	140 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	141 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
0.41/0.65	142 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(46)].
4.49/4.70	143 -s_t(A,B,C) | -s_m(A,D,E) | s_kf(A,D,E,B,F,V6,C) | -s_m(C,V6,F) | -s_e(B,C,B,F) | -s_e(B,A,B,E) | -s_t(E,B,F) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	144 s_m(A,B,C) | -s_kf(A,B,C,D,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	145 s_m(A,B,C) | -s_kf(D,E,F,V6,C,B,A) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	146 -s_kf(A,B,C,D,E,F,V6) | s_e(D,V6,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	147 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	148 -s_kf(A,B,C,D,E,F,V6) | s_t(C,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	149 s_t(A,B,C) | -s_kf(A,D,E,B,F,V6,C) # label(d_Defn7_23) # label(axiom).  [clausify(55)].
4.49/4.70	
4.49/4.70	============================== end predicate elimination =============
4.49/4.70	
4.49/4.70	Auto_denials:  (non-Horn, no changes).
4.49/4.70	
4.49/4.70	Term ordering decisions:
4.49/4.70	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.
4.49/4.71	
4.49/4.71	============================== end of process initial clauses ========
4.49/4.71	
4.49/4.71	============================== CLAUSES FOR SEARCH ====================
4.49/4.71	
4.49/4.71	============================== end of clauses for search =============
4.49/4.71	
4.49/4.71	============================== SEARCH ================================
4.49/4.71	
4.49/4.71	% Starting search at 0.03 seconds.
4.49/4.71	
4.49/4.71	Low Water (keep): wt=47.000, iters=3362
4.49/4.71	
4.49/4.71	Low Water (keep): wt=46.000, iters=3373
4.49/4.71	
4.49/4.71	Low Water (keep): wt=44.000, iters=3341
4.49/4.71	
4.49/4.71	Low Water (keep): wt=43.000, iters=3377
4.49/4.71	
4.49/4.71	Low Water (keep): wt=41.000, iters=3458
4.49/4.71	
4.49/4.71	Low Water (keep): wt=39.000, iters=3361
4.49/4.71	
4.49/4.71	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 46 (0.00 of 0.99 sec).
4.49/4.71	
4.49/4.71	Low Water (keep): wt=38.000, iters=3361
4.49/4.71	
4.49/4.71	Low Water (keep): wt=36.000, iters=3366
4.49/4.71	
4.49/4.71	Low Water (keep): wt=35.000, iters=3345
4.49/4.71	
4.49/4.71	Low Water (keep): wt=34.000, iters=3432
4.49/4.71	
4.49/4.71	Low Water (keep): wt=33.000, iters=3356
4.49/4.71	
4.49/4.71	Low Water (keep): wt=32.000, iters=3343
4.49/4.71	
4.49/4.71	Low Water (keep): wt=31.000, iters=3431
4.49/4.71	
4.49/4.71	Low Water (keep): wt=30.000, iters=3336
4.49/4.71	
4.49/4.71	Low Water (keep): wt=23.000, iters=3908
4.49/4.71	
4.49/4.71	Low Water (displace): id=7045, wt=135.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=3586, wt=98.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=6631, wt=95.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=2494, wt=90.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=12013, wt=15.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=12018, wt=13.000
4.49/4.71	
4.49/4.71	Low Water (displace): id=12052, wt=12.000
4.49/4.71	
4.49/4.71	Low Water (keep): wt=22.000, iters=3333
4.49/4.71	
4.49/4.71	Low Water (keep): wt=21.000, iters=3345
4.49/4.71	
4.49/4.71	Low Water (displace): id=13604, wt=11.000
4.49/4.71	
4.49/4.71	Low Water (keep): wt=20.000, iters=3344
4.49/4.71	
4.49/4.71	Low Water (keep): wt=17.000, iters=4452
4.49/4.71	
4.49/4.71	Low Water (keep): wt=16.000, iters=3796
4.49/4.71	
4.49/4.71	Low Water (keep): wt=15.000, iters=4524
4.49/4.71	
4.49/4.71	============================== PROOF =================================
4.49/4.71	% SZS status Theorem
4.49/4.71	% SZS output start Refutation
4.49/4.71	
4.49/4.71	% Proof 1 at 3.98 (+ 0.11) seconds.
4.49/4.71	% Length of proof is 34.
4.49/4.71	% Level of proof is 7.
4.49/4.71	% Maximum clause weight is 18.000.
4.49/4.71	% Given clauses 2525.
4.49/4.71	
4.49/4.71	25 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
4.49/4.71	36 (all Xa all Xp all Xb (s(Xb,Xp) != s(Xa,Xp) | Xa = Xb)) # label(aSatz7_18) # label(axiom) # label(non_clause).  [assumption].
4.49/4.72	42 (all Xp all Xa all Xq all Xb (-s_m(Xp,Xb,Xq) | Xb = Xa | -s_m(Xp,Xa,Xq))) # label(aSatz7_17) # label(axiom) # label(non_clause).  [assumption].
4.49/4.72	56 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
4.49/4.72	93 (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].
4.49/4.72	108 (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].
4.49/4.72	110 (all Xa all Xm all Xb ((s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb) | -s_t(Xa,Xm,Xb)) & (s_t(Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
4.49/4.72	113 (all Xa all Xp (Xp = s(Xa,Xp) | Xp != Xa)) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
4.49/4.72	117 -(all Xa all Xb all Xp (s(Xa,s(Xb,Xp)) != s(Xb,s(Xa,Xp)) | Xb = Xa)) # label(aSatz7_19) # label(negated_conjecture) # label(non_clause).  [assumption].
4.49/4.72	185 s_m(A,B,s(B,A)) # label(aSatz7_4a) # label(axiom).  [clausify(25)].
4.49/4.72	200 s(A,B) != s(C,B) | A = C # label(aSatz7_18) # label(axiom).  [clausify(36)].
4.49/4.72	206 -s_m(A,B,C) | B = D | -s_m(A,D,C) # label(aSatz7_17) # label(axiom).  [clausify(42)].
4.49/4.72	224 s(A,s(A,B)) = B # label(aSatz7_7) # label(axiom).  [clausify(56)].
4.49/4.72	259 s_e(s(A,B),s(A,C),s(A,D),s(A,E)) | -s_e(B,C,D,E) # label(aSatz7_16a) # label(axiom).  [clausify(93)].
4.49/4.72	273 s_t(s(A,B),s(A,C),s(A,D)) | -s_t(B,C,D) # label(aSatz7_15a) # label(axiom).  [clausify(108)].
4.49/4.72	275 s_e(A,B,A,C) | -s_m(B,A,C) # label(d_Defn7_1) # label(axiom).  [clausify(110)].
4.49/4.72	276 -s_e(A,B,A,C) | s_m(B,A,C) | -s_t(B,A,C) # label(d_Defn7_1) # label(axiom).  [clausify(110)].
4.49/4.72	277 s_t(A,B,C) | -s_m(A,B,C) # label(d_Defn7_1) # label(axiom).  [clausify(110)].
4.49/4.72	280 s(A,B) = B | B != A # label(aSatz7_10b) # label(axiom).  [clausify(113)].
4.49/4.72	284 s(c2,s(c1,c3)) = s(c1,s(c2,c3)) # label(aSatz7_19) # label(negated_conjecture).  [clausify(117)].
4.49/4.72	285 c2 != c1 # label(aSatz7_19) # label(negated_conjecture).  [clausify(117)].
4.49/4.72	435 -s_m(A,B,s(C,A)) | B = C.  [resolve(206,c,185,a)].
4.49/4.72	572 s_e(A,B,A,s(A,B)).  [resolve(275,b,185,a)].
4.49/4.72	575 s_t(A,B,s(B,A)).  [resolve(277,b,185,a)].
4.49/4.72	592 s(A,A) = A.  [resolve(280,b,224,a),rewrite([224(2),224(3)])].
4.49/4.72	606 s(c2,s(c1,s(c2,c3))) = s(c1,c3).  [para(284(a,1),224(a,1,2))].
4.49/4.72	876 s(A,B) != B | A = B.  [para(592(a,1),200(a,2))].
4.49/4.72	908 s_t(s(A,B),s(A,C),s(A,s(C,B))).  [resolve(575,a,273,b)].
4.49/4.72	1145 s_e(s(A,B),s(A,C),s(A,B),s(A,s(B,C))).  [resolve(572,a,259,b)].
4.49/4.72	23059 s_t(c3,s(c2,c1),s(c1,c3)).  [para(606(a,1),908(a,3)),rewrite([224(5)])].
4.49/4.72	26519 s_e(s(c2,c1),c3,s(c2,c1),s(c1,c3)).  [para(606(a,1),1145(a,4)),rewrite([224(8)])].
4.49/4.72	26537 s_m(c3,s(c2,c1),s(c1,c3)).  [resolve(26519,a,276,a),unit_del(b,23059)].
4.49/4.72	26543 s(c2,c1) = c1.  [resolve(26537,a,435,a)].
4.49/4.72	26724 $F.  [resolve(26543,a,876,a),unit_del(a,285)].
4.49/4.72	
4.49/4.72	% SZS output end Refutation
4.49/4.72	============================== end of proof ==========================
4.49/4.72	
4.49/4.72	============================== STATISTICS ============================
4.49/4.72	
4.49/4.72	Given=2525. Generated=191099. Kept=26566. proofs=1.
4.49/4.72	Usable=2298. Sos=9874. Demods=51. Limbo=0, Disabled=14586. Hints=0.
4.49/4.72	Megabytes=14.25.
4.49/4.72	User_CPU=3.98, System_CPU=0.11, Wall_clock=4.
4.49/4.72	
4.49/4.72	============================== end of statistics =====================
4.49/4.72	
4.49/4.72	============================== end of search =========================
4.49/4.72	
4.49/4.72	THEOREM PROVED
4.49/4.72	% SZS status Theorem
4.49/4.72	
4.49/4.72	Exiting with 1 proof.
4.49/4.72	
4.49/4.72	Process 61322 exit (max_proofs) Sat Jul 14 05:34:29 2018
4.49/4.72	Prover9 interrupted
4.49/4.74	EOF