0.00/0.13	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command  : tptp2X_and_run_prover9 %d %s
0.11/0.34	% Computer : n012.cluster.edu
0.11/0.34	% Model    : x86_64 x86_64
0.11/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.34	% Memory   : 8042.1875MB
0.11/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.34	% CPULimit : 960
0.11/0.34	% WCLimit  : 120
0.11/0.34	% DateTime : Tue Aug  9 03:37:14 EDT 2022
0.11/0.34	% CPUTime  : 
0.39/1.07	============================== Prover9 ===============================
0.39/1.07	Prover9 (32) version 2009-11A, November 2009.
0.39/1.07	Process 29455 was started by sandbox on n012.cluster.edu,
0.39/1.07	Tue Aug  9 03:37:15 2022
0.39/1.07	The command was "/export/starexec/sandbox/solver/bin/prover9 -t 960 -f /tmp/Prover9_29302_n012.cluster.edu".
0.39/1.07	============================== end of head ===========================
0.39/1.07	
0.39/1.07	============================== INPUT =================================
0.39/1.07	
0.39/1.07	% Reading from file /tmp/Prover9_29302_n012.cluster.edu
0.39/1.07	
0.39/1.07	set(prolog_style_variables).
0.39/1.07	set(auto2).
0.39/1.07	    % set(auto2) -> set(auto).
0.39/1.07	    % set(auto) -> set(auto_inference).
0.39/1.07	    % set(auto) -> set(auto_setup).
0.39/1.07	    % set(auto_setup) -> set(predicate_elim).
0.39/1.07	    % set(auto_setup) -> assign(eq_defs, unfold).
0.39/1.07	    % set(auto) -> set(auto_limits).
0.39/1.07	    % set(auto_limits) -> assign(max_weight, "100.000").
0.39/1.07	    % set(auto_limits) -> assign(sos_limit, 20000).
0.39/1.07	    % set(auto) -> set(auto_denials).
0.39/1.07	    % set(auto) -> set(auto_process).
0.39/1.07	    % set(auto2) -> assign(new_constants, 1).
0.39/1.07	    % set(auto2) -> assign(fold_denial_max, 3).
0.39/1.07	    % set(auto2) -> assign(max_weight, "200.000").
0.39/1.07	    % set(auto2) -> assign(max_hours, 1).
0.39/1.07	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.39/1.07	    % set(auto2) -> assign(max_seconds, 0).
0.39/1.07	    % set(auto2) -> assign(max_minutes, 5).
0.39/1.07	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.39/1.07	    % set(auto2) -> set(sort_initial_sos).
0.39/1.07	    % set(auto2) -> assign(sos_limit, -1).
0.39/1.07	    % set(auto2) -> assign(lrs_ticks, 3000).
0.39/1.07	    % set(auto2) -> assign(max_megs, 400).
0.39/1.07	    % set(auto2) -> assign(stats, some).
0.39/1.07	    % set(auto2) -> clear(echo_input).
0.39/1.07	    % set(auto2) -> set(quiet).
0.39/1.07	    % set(auto2) -> clear(print_initial_clauses).
0.39/1.07	    % set(auto2) -> clear(print_given).
0.39/1.07	assign(lrs_ticks,-1).
0.39/1.07	assign(sos_limit,10000).
0.39/1.07	assign(order,kbo).
0.39/1.07	set(lex_order_vars).
0.39/1.07	clear(print_given).
0.39/1.07	
0.39/1.07	% formulas(sos).  % not echoed (118 formulas)
0.39/1.07	
0.39/1.07	============================== end of input ==========================
0.39/1.07	
0.39/1.07	% From the command line: assign(max_seconds, 960).
0.39/1.07	
0.39/1.07	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.39/1.07	
0.39/1.07	% Formulas that are not ordinary clauses:
0.39/1.07	1 (all X all Y all Z (-s_e(X,Y,Z,Z) | X = Y)) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	2 (all X all Y all W all V (s_t(X,Y,ext(X,Y,W,V)) & s_e(Y,ext(X,Y,W,V),W,V))) # label(aA4) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	3 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	4 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	5 (all Xa all Xp all Xc all Xb all Xq ((s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xb,Xq,Xc) | -s_t(Xa,Xp,Xc)) & (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb)))) # label(aA7) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	6 (all X all Y all Z all V all Z2 all V2 (s_e(Z,V,Z2,V2) | -s_e(X,Y,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	7 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,Y,X1,Y1) | -s_e(Y,Z,Y1,Z1) | -s_e(Y,V,Y1,V1) | -s_t(X1,Y1,Z1) | s_e(Z,V,Z1,V1) | X = Y | -s_t(X,Y,Z) | -s_e(X,V,X1,V1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	8 (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)) & (s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd) | -le(Xa,Xb,Xc,Xd)))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	9 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (s_e(Xc,Xd,Xc1,Xd1) | Xa = Xb | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1))) # label(aSatz4_16) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	10 (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(Xa,Xc,XA,XC) | -s_e(Xb,Xc,XA,XB) | -s_t(XA,XB,XC))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	11 (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].
0.39/1.07	12 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_t(Xa,Xb,Xc) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Za,Zb,Zc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xd,Za,Zd)) & (-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_e(Xa,Xb,Za,Zb) | -s_t(Za,Zb,Zc) | -s_t(Xa,Xb,Xc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xc,Zb,Zc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xa,Xb,Za,Zb)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	13 (all Xa all Xp all Xb all Xc (-s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xp = Xc | Xb = Xp | Xp = Xa | sameside(Xa,Xp,Xb))) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	14 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	15 (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].
0.39/1.07	16 (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].
0.39/1.07	17 (all Xa all Xb all Xc all Xd (-le(Xc,Xd,Xa,Xb) | s_e(Xa,Xb,Xc,Xd) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_9) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	18 (all Xa all Xb all Xp all Xq all Xc all Xd all Xe (Xa = Xb | Xq = Xp | -s_col(Xa,Xb,Xc) | -s_col(Xp,Xq,Xc) | -s_col(Xp,Xq,Xd) | -s_col(Xa,Xb,Xe) | s_col(Xp,Xq,Xe) | Xc = Xd | -s_col(Xa,Xb,Xd))) # label(aSatz6_21) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	19 (all Xa all Xb all Xc ((s_col(Xa,Xb,Xc) | -s_t(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(Xc,Xa,Xb) | s_t(Xb,Xc,Xa) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	20 (all Xp all Xa s_m(Xp,Xa,s(Xa,Xp))) # label(aSatz7_4a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	21 (all Xa all Xb all Xc all Xd all Xe all Xf (-s_e(Xc,Xd,Xe,Xf) | s_e(Xa,Xb,Xe,Xf) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_3) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	22 (all Xa all Xb all Xc all Xd all Y ((s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)) & (le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y) | -s_t(Xc,Y,Xd)) & (-le(Xa,Xb,Xc,Xd) | s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	23 (all Xa all Xp all Xr all Xq (s(Xa,Xp) != Xr | s(Xa,Xq) != Xr | Xq = Xp)) # label(aSatz7_8) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	24 (all Xa all Xb all Xc all Xd (s_e(Xb,Xa,Xd,Xc) | -s_e(Xa,Xb,Xc,Xd))) # label(aSatz2_14) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	25 (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].
0.39/1.07	26 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	27 (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].
0.39/1.07	28 (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].
0.39/1.07	29 (all Xa all Xp all Xb all Xc (Xa = Xp | -s_t(Xa,Xp,Xc) | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | Xc = Xp | Xp = Xb)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.07	30 (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].
0.39/1.07	31 (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].
0.39/1.07	32 (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].
0.39/1.07	33 (all Xa all Xp all Xq (s(Xa,Xp) != s(Xa,Xq) | Xp = Xq)) # label(aSatz7_9) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	34 (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(Xa,Xb,Xc) | -s_t(Xa,Xp,Xa1) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa1,Xb1,Xc)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	35 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xc,Xd) | s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	36 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 ((s_e(Xb,Xd,Xb1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | -s_e(Xb,Xd,Xb1,Xd1) | -s_e(Xa,Xd,Xa1,Xd1) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xa,Xd,Xa1,Xd1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1)) & (-s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_col(Xa,Xb,Xc)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	37 (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].
0.39/1.08	38 (all Xa all Xb all Xc all Xd (-s_t(Xc,Xa,Xb) | s_t(Xc,Xd,Xb) | s_t(Xd,Xc,Xb) | -s_t(Xd,Xa,Xb) | Xb = Xa)) # label(aSatz6_16a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	39 (all Xa all Xb all Xc (-s_col(Xa,Xb,Xc) | s_col(Xb,Xc,Xa))) # label(aSatz4_11a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	40 (all Xa all Xm all Xb ((-s_m(Xa,Xm,Xb) | s_t(Xa,Xm,Xb)) & (s_e(Xm,Xa,Xm,Xb) | -s_m(Xa,Xm,Xb)) & (-s_t(Xa,Xm,Xb) | -s_e(Xm,Xa,Xm,Xb) | s_m(Xa,Xm,Xb)))) # label(d_Defn7_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	41 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	42 (all Xa all Xb all Xc all Xd (-s_t(Xb,Xc,Xd) | s_t(Xa,Xc,Xd) | Xc = Xb | -s_t(Xa,Xb,Xc))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	43 (all Xp all Xq all Xr all Xa (Xp = Xq | -s_t(Xq,Xp,Xr) | s_col(Xa,Xp,Xq) | Xp != Xa | Xr = Xp)) # label(aSatz6_15d) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	44 (all Xa all Xm (s_m(Xa,Xm,Xa) | Xm != Xa)) # label(aSatz7_3b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	45 (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].
0.39/1.08	46 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	47 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_col(Xa,Xb,Xc) | -s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_col(Xa1,Xb1,Xc1))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	48 (all Xa1 all Xm1 all Xb1 all Xc all Xb2 all Xm2 all Xa2 ((s_e(Xc,Xa1,Xc,Xb1) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_t(Xa1,Xc,Xa2) | -s_t(Xb1,Xc,Xb2) | -s_e(Xc,Xa1,Xc,Xb1) | -s_e(Xc,Xa2,Xc,Xb2) | -s_m(Xa1,Xm1,Xb1) | s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | -s_m(Xa2,Xm2,Xb2)) & (s_m(Xa2,Xm2,Xb2) | -s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_m(Xa1,Xm1,Xb1)) & (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_t(Xb1,Xc,Xb2)) & (-s_kf(Xa1,Xm1,Xb1,Xc,Xb2,Xm2,Xa2) | s_t(Xa1,Xc,Xa2)))) # label(d_Defn7_23) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	49 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,Xb) | Xc = Xb)) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	50 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all Xd1 (le(Xa1,Xb1,Xc1,Xd1) | -s_e(Xc,Xd,Xc1,Xd1) | -s_e(Xa,Xb,Xa1,Xb1) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_6) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	51 (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].
0.39/1.08	52 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-sameside(Xa1,Xb1,Xc1) | -s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xc,Xa1,Xc1) | -s_e(Xb,Xa,Xb1,Xa1) | -sameside(Xa,Xb,Xc))) # label(aSatz6_28) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	53 (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].
0.39/1.08	54 (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].
0.39/1.08	55 (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].
0.39/1.08	56 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | s_t(Xp,Xb,Xa) | s_t(Xp,Xa,Xb)) & (-s_t(Xp,Xb,Xa) | sameside(Xa,Xp,Xb) | Xp = Xb | Xa = Xp) & (Xa = Xp | sameside(Xa,Xp,Xb) | xb = Xp | -s_t(Xp,Xa,Xb)) & (-sameside(Xa,Xp,Xb) | Xb != Xp) & (-sameside(Xa,Xp,Xb) | Xa != Xp))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	57 (all Xp all Xq all Xcs all Xr (Xq = Xp | Xcs = Xp | -s_col(Xp,Xq,Xcs) | s_col(Xp,Xcs,Xr) | -s_col(Xp,Xq,Xr))) # label(aSatz6_16b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	58 (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].
0.39/1.08	59 (all Xa all Xp all Xb ((Xp != Xa | -sameside(Xa,Xp,Xb)) & (s_t(Xb,Xp,c63(Xa,Xp,Xb)) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (Xp != c63(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (Xb != Xp | -sameside(Xa,Xp,Xb)))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	60 (all Xa all Xb all Xc (Xb = Xa | -s_t(Xb,Xa,Xc) | -s_t(Xa,Xb,Xc))) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	61 (all Xa all Xb all Xc all Xd (Xa = Xb | -s_t(Xa,Xb,Xc) | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | -s_t(Xa,Xb,Xd))) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	62 (all Xa all Xb all Xc all Xd (s_t(Xa,Xb,Xd) | Xc = Xb | -s_t(Xb,Xc,Xd) | -s_t(Xa,Xb,Xc))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	63 (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].
0.39/1.08	64 (all Xb all Xc all Xa (-s_e(Xb,Xc,Xa,Xa) | Xb = Xc)) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	65 (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(aSatz2_11) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	66 (all Xp all Xq all Xr all Xa (Xr = Xp | -s_col(Xa,Xp,Xq) | Xp = Xa | sameside(Xa,Xp,Xq) | sameside(Xa,Xp,Xr) | -s_t(Xq,Xp,Xr) | Xp = Xq)) # label(aSatz6_15a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	67 (all Xa all Xb all Xc all Xp all Xq (Xa = Xb | -s_e(Xa,Xp,Xa,Xq) | s_e(Xc,Xp,Xc,Xq) | -s_e(Xb,Xp,Xb,Xq) | -s_col(Xa,Xb,Xc))) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	68 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((s_e(Xb,Xc,Zb,Zc) | -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_t(Za,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(Xb,Xc,Zb,Zc) | -s_e(Xa,Xc,Za,Zc) | -s_t(Xa,Xb,Xc)) & (-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xc,Xd,Zc,Zd)) & (s_e(Xa,Xc,Za,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_t(Za,Zb,Zc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (s_t(Xa,Xb,Xc) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)))) # label(d_Defn4_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	69 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	70 (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].
0.39/1.08	71 (all Xa all Xp (Xp != Xa | Xp = s(Xa,Xp))) # label(aSatz7_10b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	72 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xa,Xc,Xd) | s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	73 (all Xp all Xq all Xr all Xa (Xq = Xp | Xr = Xp | -s_t(Xq,Xp,Xr) | -sameside(Xa,Xp,Xr) | s_col(Xa,Xp,Xq))) # label(aSatz6_15c) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	74 (all Xa1 all Xa2 all Xa3 all Xb1 all Xb2 all Xb3 ((s_e(Xa1,Xa2,Xb1,Xb2) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (s_e(Xa2,Xa3,Xb2,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e(Xa1,Xa3,Xb1,Xb3) | s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3) | -s_e(Xa2,Xa3,Xb2,Xb3) | -s_e(Xa1,Xa2,Xb1,Xb2)) & (s_e(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	75 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xa = Xp)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	76 (all Xa all Xc all Xb all Xc1 (-s_e(Xa,Xc,Xa,Xc1) | -s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1 | -s_t(Xa,Xc,Xb))) # label(aSatz4_19) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	77 (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].
0.39/1.08	78 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	79 (all Xa all Xb all Xp all Xq all Xr (Xp = Xq | -s_col(Xp,Xq,Xb) | s_col(Xa,Xb,Xr) | -s_col(Xp,Xq,Xr) | -s_col(Xp,Xq,Xa) | Xa = Xb)) # label(aSatz6_18) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	80 (all Xa all Xb all Xc all Xa1 all Xb1 (s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	81 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	82 (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].
0.39/1.08	83 (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].
0.39/1.08	84 (all Xa all Xb all Xc all Xd (s_t(Xb,Xc,Xd) | s_t(Xb,Xd,Xc) | -s_t(Xa,Xb,Xd) | -s_t(Xa,Xb,Xc) | Xb = Xa)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	85 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	86 (all Xp all Xq all Xr all Xa (Xp = Xq | Xr = Xp | -sameside(Xa,Xp,Xq) | s_col(Xa,Xp,Xq) | -s_t(Xq,Xp,Xr))) # label(aSatz6_15b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	87 (all Xa all Xb all Xc (le(Xa,Xb,Xa,Xc) | -s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a1) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	88 (all Xa all Xm (Xm = Xa | -s_m(Xa,Xm,Xa))) # label(aSatz7_3a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	89 (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].
0.39/1.08	90 (all Xr all Xa all Xb all Xc ((Xa = Xr | Xc = Xb | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr)) & (Xc = Xb | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xr = Xa))) # label(aSatz6_11a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	91 (all Xa all Xb all Xc all Xc1 (-s_col(Xa,Xb,Xc) | Xc1 = Xc | -s_e(Xb,Xc,Xb,Xc1) | -s_e(Xa,Xc,Xa,Xc1) | Xb = Xa)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	92 (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].
0.39/1.08	93 (all Xa all Xp all Xb all Xc (Xa = Xp | sameside(Xa,Xp,Xb) | -s_t(Xb,Xp,Xc) | -s_t(Xa,Xp,Xc) | Xp = Xc | Xb = Xp)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	94 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | s_t(Xa,Xc,Xd) | -s_t(Xb,Xc,Xd))) # label(aSatz3_5b) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	95 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	96 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.39/1.08	97 (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].
0.81/1.08	98 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	99 (all Xq all Xa all Xd all Xb all Xc (-s_t(Xq,Xa,Xd) | -s_e(Xa,Xd,Xb,Xc) | Xd = ext(Xq,Xa,Xb,Xc) | Xq = Xa)) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	100 (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].
0.81/1.08	101 (all Xa all Xb (Xa = Xb | -s_col(Xa,Xb,pointOffLine(Xa,Xb)))) # label(aSatz6_25) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	102 (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].
0.81/1.08	103 (all Xr all Xa all Xb all Xc all Xp all Xq (Xa = Xr | Xb = Xc | -sameside(Xq,Xa,Xr) | Xq = Xp | -s_e(Xa,Xq,Xb,Xc) | -s_e(Xa,Xp,Xb,Xc) | -sameside(Xp,Xa,Xr))) # label(aSatz6_11b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	104 (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].
0.81/1.08	105 (all Xp all Xq (Xq = Xp | s_col(Xp,Xq,Xp))) # label(aSatz6_17a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	106 (all Xa all Xb all Xc (-le(Xa,Xb,Xa,Xc) | -le(Xb,Xc,Xa,Xc) | s_t(Xa,Xb,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	107 (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].
0.81/1.08	108 (all Xp all Xa all Xq (-s_m(Xp,Xa,Xq) | s(Xa,Xp) = Xq)) # label(aSatz7_6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	109 (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].
0.81/1.08	110 (all Xa all Xp (Xp = Xa | Xp != s(Xa,Xp))) # label(aSatz7_10a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	111 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	112 -(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(negated_conjecture) # label(non_clause).  [assumption].
0.81/1.08	
0.81/1.08	============================== end of process non-clausal formulas ===
0.81/1.08	
0.81/1.08	============================== PROCESS INITIAL CLAUSES ===============
0.81/1.08	
0.81/1.08	============================== PREDICATE ELIMINATION =================
0.81/1.08	113 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) | -s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(36)].
0.81/1.08	114 s_e(A,B,C,D) | E = F | -s_fs(F,E,A,B,V6,V7,C,D) # label(aSatz4_16) # label(axiom).  [clausify(9)].
0.81/1.08	115 s_e(A,B,C,D) | -s_fs(E,A,F,B,V6,C,V7,D) # label(d_Defn4_15) # label(axiom).  [clausify(36)].
0.81/1.08	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e3(E,A,V6,F,C,V7) | -s_col(E,A,V6) | s_e(V6,B,V7,D) | A = E.  [resolve(113,a,114,c)].
0.81/1.08	116 -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn4_15) # label(axiom).  [clausify(36)].
0.81/1.08	117 -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(36)].
0.81/1.08	118 -s_fs(A,B,C,D,E,F,V6,V7) | s_col(A,B,C) # label(d_Defn4_15) # label(axiom).  [clausify(36)].
0.81/1.08	119 -s_col(A,B,C) | -s_e3(A,B,C,D,E,F) | s_col(D,E,F) # label(aSatz4_13) # label(axiom).  [clausify(47)].
0.81/1.08	120 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(11)].
0.81/1.08	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(119,b,120,a)].
0.81/1.08	121 -s_t(A,B,C) | -s_e3(A,B,C,D,E,F) | s_t(D,E,F) # label(aSatz4_6) # label(axiom).  [clausify(53)].
0.81/1.08	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(121,b,120,a)].
0.81/1.08	122 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(74)].
0.81/1.08	Derived: s_e(A,B,C,insert(A,B,C,D)) | -s_e(A,E,C,D) | -s_t(A,B,E).  [resolve(122,b,120,a)].
0.81/1.08	123 s_e(A,B,C,D) | -s_e3(E,A,B,F,C,D) # label(d_Defn4_4) # label(axiom).  [clausify(74)].
0.81/1.08	Derived: s_e(A,B,insert(C,A,D,E),E) | -s_e(C,B,D,E) | -s_t(C,A,B).  [resolve(123,b,120,a)].
0.81/1.09	124 -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(74)].
0.81/1.09	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(124,b,119,b)].
0.81/1.09	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(124,b,121,b)].
0.81/1.09	125 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom).  [clausify(74)].
0.81/1.09	126 s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) | -s_col(A,B,C) # label(aSatz4_14) # label(axiom).  [clausify(80)].
0.81/1.09	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(126,a,119,b)].
0.81/1.09	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(126,a,121,b)].
0.81/1.09	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(B,E,D,insert5(A,B,E,C,D)).  [resolve(126,a,123,b)].
0.81/1.09	Derived: -s_e(A,B,C,D) | -s_col(A,B,E) | s_e(A,E,C,insert5(A,B,E,C,D)).  [resolve(126,a,125,b)].
0.81/1.09	127 -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_e3(E,A,V6,F,C,V7) | -s_col(E,A,V6) | s_e(V6,B,V7,D) | A = E.  [resolve(113,a,114,c)].
0.81/1.09	Derived: -s_e(A,B,insert(C,A,D,E),F) | -s_e(C,B,D,F) | -s_col(C,A,V6) | s_e(V6,B,E,F) | A = C | -s_e(C,V6,D,E) | -s_t(C,A,V6).  [resolve(127,c,120,a)].
0.81/1.09	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(E,A,V6) | s_e(V6,B,V7,D) | A = E | -s_e(E,V6,F,V7) | -s_e(A,V6,C,V7) | -s_e(E,A,F,C).  [resolve(127,c,124,b)].
0.81/1.09	Derived: -s_e(A,B,C,D) | -s_e(E,B,F,D) | -s_col(E,A,V6) | s_e(V6,B,insert5(E,A,V6,F,C),D) | A = E | -s_e(E,A,F,C) | -s_col(E,A,V6).  [resolve(127,c,126,a)].
0.81/1.09	128 -s_e(A,B,C,D) | s_afs(A,E,F,B,C,V6,V7,D) | -s_e(E,B,V6,D) | -s_e(E,F,V6,V7) | -s_e(A,E,C,V6) | -s_t(C,V6,V7) | -s_t(A,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	129 s_t(A,B,C) | -s_afs(A,B,C,D,E,F,V6,V7) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	130 -s_afs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	131 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,D,E,V7) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	132 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,D,F,V7) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	133 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	134 -s_afs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F) # label(d_Defn2_10) # label(axiom).  [clausify(12)].
0.81/1.09	135 -s_t(A,B,C) | -s_t(D,B,E) | -s_e(B,A,B,D) | -s_e(B,C,B,E) | -s_m(A,F,D) | s_kf(A,F,D,B,E,V6,C) | -s_m(C,V6,E) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	136 s_e(A,B,A,C) | -s_kf(B,D,C,A,E,F,V6) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	137 s_m(A,B,C) | -s_kf(D,E,F,V6,C,B,A) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	138 -s_kf(A,B,C,D,E,F,V6) | s_m(A,B,C) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	139 s_e(A,B,A,C) | -s_kf(D,E,F,A,C,V6,B) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	140 -s_kf(A,B,C,D,E,F,V6) | s_t(C,D,E) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	141 -s_kf(A,B,C,D,E,F,V6) | s_t(A,D,V6) # label(d_Defn7_23) # label(axiom).  [clausify(48)].
0.81/1.09	142 -s_t(A,B,C) | -s_e(D,E,A,F) | -s_e(V6,E,C,F) | s_ifs(D,V7,V6,E,A,B,C,F) | -s_e(V7,V6,B,C) | -s_e(D,V6,A,C) | -s_t(D,V7,V6) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	143 s_e(A,B,C,D) | -s_ifs(E,A,B,F,V6,C,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	144 s_e(A,B,C,D) | -s_ifs(A,E,F,B,C,V6,V7,D) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	145 -s_ifs(A,B,C,D,E,F,V6,V7) | s_e(C,D,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	146 s_e(A,B,C,D) | -s_ifs(A,E,B,F,C,V6,D,V7) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	147 s_t(A,B,C) | -s_ifs(D,E,F,V6,A,B,C,V7) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	148 s_t(A,B,C) | -s_ifs(A,B,C,D,E,F,V6,V7) # label(d_Defn4_1) # label(axiom).  [clausify(68)].
0.81/1.09	149 s_e(A,B,C,D) | -s_ifs(E,A,F,B,V6,C,V7,D) # label(aSatz4_2) # label(axiom).  [clausify(109)].
0.81/1.09	Derived: s_e(A,B,C,D) | -s_t(E,C,F) | -s_e(V6,B,E,D) | -s_e(V7,B,F,D) | -s_e(A,V7,C,F) | -s_e(V6,V7,E,F) | -s_t(V6,A,V7).  [resolve(149,b,142,d)].
3.30/3.63	
3.30/3.63	============================== end predicate elimination =============
3.30/3.63	
3.30/3.63	Auto_denials:  (non-Horn, no changes).
3.30/3.63	
3.30/3.63	Term ordering decisions:
3.30/3.63	Function symbol KB weights:  alpha=1. gamma=1. xb=1. beta=1. c1=1. c2=1. c3=1. c4=1. s=1. pointOffLine=1. c63=1. insert=1. ext=1. ins=1. insert5=1. ip=1. crossbar=1.
3.30/3.63	
3.30/3.63	============================== end of process initial clauses ========
3.30/3.63	
3.30/3.63	============================== CLAUSES FOR SEARCH ====================
3.30/3.63	
3.30/3.63	============================== end of clauses for search =============
3.30/3.63	
3.30/3.63	============================== SEARCH ================================
3.30/3.63	
3.30/3.63	% Starting search at 0.04 seconds.
3.30/3.63	
3.30/3.63	Low Water (keep): wt=58.000, iters=3357
3.30/3.63	
3.30/3.63	Low Water (keep): wt=50.000, iters=3373
3.30/3.63	
3.30/3.63	Low Water (keep): wt=45.000, iters=3463
3.30/3.63	
3.30/3.63	Low Water (keep): wt=42.000, iters=3335
3.30/3.63	
3.30/3.63	Low Water (keep): wt=41.000, iters=3363
3.30/3.63	
3.30/3.63	Low Water (keep): wt=40.000, iters=3478
3.30/3.63	
3.30/3.63	Low Water (keep): wt=39.000, iters=3371
3.30/3.63	
3.30/3.63	Low Water (keep): wt=38.000, iters=3348
3.30/3.63	
3.30/3.63	Low Water (keep): wt=37.000, iters=3506
3.30/3.63	
3.30/3.63	Low Water (keep): wt=35.000, iters=3335
3.30/3.63	
3.30/3.63	Low Water (keep): wt=34.000, iters=3335
3.30/3.63	
3.30/3.63	Low Water (keep): wt=25.000, iters=3930
3.30/3.63	
3.30/3.63	Low Water (keep): wt=23.000, iters=3352
3.30/3.63	
3.30/3.63	NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 41 (0.00 of 1.76 sec).
3.30/3.63	
3.30/3.63	Low Water (keep): wt=22.000, iters=4987
3.30/3.63	
3.30/3.63	Low Water (displace): id=6493, wt=68.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=2066, wt=66.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=6461, wt=64.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=2170, wt=62.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=11962, wt=20.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=12076, wt=15.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=12187, wt=13.000
3.30/3.63	
3.30/3.63	Low Water (keep): wt=21.000, iters=5082
3.30/3.63	
3.30/3.63	Low Water (keep): wt=20.000, iters=4747
3.30/3.63	
3.30/3.63	Low Water (displace): id=14232, wt=11.000
3.30/3.63	
3.30/3.63	Low Water (keep): wt=19.000, iters=3425
3.30/3.63	
3.30/3.63	Low Water (displace): id=17537, wt=9.000
3.30/3.63	
3.30/3.63	Low Water (displace): id=17579, wt=8.000
3.30/3.63	
3.30/3.63	Low Water (keep): wt=18.000, iters=3344
3.30/3.63	
3.30/3.63	============================== PROOF =================================
3.30/3.63	% SZS status Theorem
3.30/3.63	% SZS output start Refutation
3.30/3.63	
3.30/3.63	% Proof 1 at 2.52 (+ 0.05) seconds.
3.30/3.63	% Length of proof is 9.
3.30/3.63	% Level of proof is 3.
3.30/3.63	% Maximum clause weight is 16.000.
3.30/3.63	% Given clauses 1215.
3.30/3.63	
3.30/3.63	37 (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].
3.30/3.63	95 (all Xa all Xp Xp = s(Xa,s(Xa,Xp))) # label(aSatz7_7) # label(axiom) # label(non_clause).  [assumption].
3.30/3.63	112 -(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(negated_conjecture) # label(non_clause).  [assumption].
3.30/3.63	197 s_t(s(A,B),s(A,C),s(A,D)) | -s_t(B,C,D) # label(aSatz7_15a) # label(axiom).  [clausify(37)].
3.30/3.63	260 s(A,s(A,B)) = B # label(aSatz7_7) # label(axiom).  [clausify(95)].
3.30/3.63	278 -s_t(c1,c2,c3) # label(aSatz7_15b) # label(negated_conjecture).  [clausify(112)].
3.30/3.63	279 s_t(s(c4,c1),s(c4,c2),s(c4,c3)) # label(aSatz7_15b) # label(negated_conjecture).  [clausify(112)].
3.30/3.63	603 s_t(s(A,s(c4,c1)),s(A,s(c4,c2)),s(A,s(c4,c3))).  [resolve(279,a,197,b)].
3.30/3.63	18066 $F.  [para(260(a,1),603(a,1)),rewrite([260(6),260(7)]),unit_del(a,278)].
3.30/3.63	
3.30/3.63	% SZS output end Refutation
3.30/3.63	============================== end of proof ==========================
3.30/3.63	
3.30/3.63	============================== STATISTICS ============================
3.30/3.63	
3.30/3.63	Given=1215. Generated=67930. Kept=17904. proofs=1.
3.30/3.63	Usable=1175. Sos=9998. Demods=40. Limbo=3, Disabled=6910. Hints=0.
3.30/3.63	Megabytes=10.99.
3.30/3.63	User_CPU=2.52, System_CPU=0.05, Wall_clock=3.
3.30/3.63	
3.30/3.63	============================== end of statistics =====================
3.30/3.63	
3.30/3.63	============================== end of search =========================
3.30/3.63	
3.30/3.63	THEOREM PROVED
3.30/3.63	% SZS status Theorem
3.30/3.63	
3.30/3.63	Exiting with 1 proof.
3.30/3.63	
3.30/3.63	Process 29455 exit (max_proofs) Tue Aug  9 03:37:18 2022
3.30/3.63	Prover9 interrupted
3.30/3.63	EOF