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
0.12/0.33	% Computer   : n020.cluster.edu
0.12/0.33	% Model      : x86_64 x86_64
0.12/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory     : 8042.1875MB
0.12/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit   : 180
0.12/0.33	% DateTime   : Thu Aug 29 13:09:55 EDT 2019
0.12/0.33	% CPUTime    : 
0.81/1.08	============================== Prover9 ===============================
0.81/1.08	Prover9 (32) version 2009-11A, November 2009.
0.81/1.08	Process 4362 was started by sandbox2 on n020.cluster.edu,
0.81/1.08	Thu Aug 29 13:09:56 2019
0.81/1.08	The command was "/export/starexec/sandbox2/solver/bin/prover9 -t 180 -f /tmp/Prover9_4201_n020.cluster.edu".
0.81/1.08	============================== end of head ===========================
0.81/1.08	
0.81/1.08	============================== INPUT =================================
0.81/1.08	
0.81/1.08	% Reading from file /tmp/Prover9_4201_n020.cluster.edu
0.81/1.08	
0.81/1.08	set(prolog_style_variables).
0.81/1.08	set(auto2).
0.81/1.08	    % set(auto2) -> set(auto).
0.81/1.08	    % set(auto) -> set(auto_inference).
0.81/1.08	    % set(auto) -> set(auto_setup).
0.81/1.08	    % set(auto_setup) -> set(predicate_elim).
0.81/1.08	    % set(auto_setup) -> assign(eq_defs, unfold).
0.81/1.08	    % set(auto) -> set(auto_limits).
0.81/1.08	    % set(auto_limits) -> assign(max_weight, "100.000").
0.81/1.08	    % set(auto_limits) -> assign(sos_limit, 20000).
0.81/1.08	    % set(auto) -> set(auto_denials).
0.81/1.08	    % set(auto) -> set(auto_process).
0.81/1.08	    % set(auto2) -> assign(new_constants, 1).
0.81/1.08	    % set(auto2) -> assign(fold_denial_max, 3).
0.81/1.08	    % set(auto2) -> assign(max_weight, "200.000").
0.81/1.08	    % set(auto2) -> assign(max_hours, 1).
0.81/1.08	    % assign(max_hours, 1) -> assign(max_seconds, 3600).
0.81/1.08	    % set(auto2) -> assign(max_seconds, 0).
0.81/1.08	    % set(auto2) -> assign(max_minutes, 5).
0.81/1.08	    % assign(max_minutes, 5) -> assign(max_seconds, 300).
0.81/1.08	    % set(auto2) -> set(sort_initial_sos).
0.81/1.08	    % set(auto2) -> assign(sos_limit, -1).
0.81/1.08	    % set(auto2) -> assign(lrs_ticks, 3000).
0.81/1.08	    % set(auto2) -> assign(max_megs, 400).
0.81/1.08	    % set(auto2) -> assign(stats, some).
0.81/1.08	    % set(auto2) -> clear(echo_input).
0.81/1.08	    % set(auto2) -> set(quiet).
0.81/1.08	    % set(auto2) -> clear(print_initial_clauses).
0.81/1.08	    % set(auto2) -> clear(print_given).
0.81/1.08	assign(lrs_ticks,-1).
0.81/1.08	assign(sos_limit,10000).
0.81/1.08	assign(order,kbo).
0.81/1.08	set(lex_order_vars).
0.81/1.08	clear(print_given).
0.81/1.08	
0.81/1.08	% formulas(sos).  % not echoed (87 formulas)
0.81/1.08	
0.81/1.08	============================== end of input ==========================
0.81/1.08	
0.81/1.08	% From the command line: assign(max_seconds, 180).
0.81/1.08	
0.81/1.08	============================== PROCESS NON-CLAUSAL FORMULAS ==========
0.81/1.08	
0.81/1.08	% Formulas that are not ordinary clauses:
0.81/1.08	1 (all X all Y all W all V (s_t(X,Y,ext(X,Y,W,V)) & s_e(Y,ext(X,Y,W,V),W,V))) # label(aA4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	2 (all X all Y all X1 all Y1 all Z all Z1 all V all V1 (-s_e(X,V,X1,V1) | -s_e(Y,V,Y1,V1) | Y = X | s_e(Z,V,Z1,V1) | -s_t(X1,Y1,Z1) | -s_t(X,Y,Z) | -s_e(Y,Z,Y1,Z1) | -s_e(X,Y,X1,Y1))) # label(aA5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	3 (all Xa all Xp all Xc all Xb all Xq ((-s_t(Xb,Xq,Xc) | s_t(Xp,ip(Xa,Xp,Xc,Xb,Xq),Xb) | -s_t(Xa,Xp,Xc)) & (-s_t(Xb,Xq,Xc) | s_t(Xq,ip(Xa,Xp,Xc,Xb,Xq),Xa) | -s_t(Xa,Xp,Xc)))) # label(aA7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	4 (all X all Y all Z all V all Z2 all V2 (-s_e(X,Y,Z2,V2) | s_e(Z,V,Z2,V2) | -s_e(X,Y,Z,V))) # label(aA2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	5 (all X all Y (X = Y | -s_t(X,Y,X))) # label(aA6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	6 (all X all Y all Z (X = Y | -s_e(X,Y,Z,Z))) # label(aA3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	7 (all X all Y s_e(X,Y,Y,X)) # label(aA1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	8 (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	9 (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].
0.81/1.08	10 (all Xa all Xb all Xc all Xa1 all Xb1 (-s_col(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,Xb1,insert5(Xa,Xb,Xc,Xa1,Xb1)) | -s_e(Xa,Xb,Xa1,Xb1))) # label(aSatz4_14) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	11 (all Xb all Xa ext(Xa,Xb,alpha,gamma) != Xb) # label(aSatz3_14b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	12 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xb,Xd) | -s_t(Xb,Xc,Xd) | s_t(Xa,Xb,Xc))) # label(aSatz3_5a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	13 (all Xa all Xb le(Xa,Xb,Xa,Xb)) # label(aSatz5_7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	14 (all Xa all Xb s_t(Xa,Xb,ext(Xa,Xb,alpha,gamma))) # label(aSatz3_14a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	15 (all Xa all Xb all Xc all Xd all Xe (-s_e(Xa,Xe,Xc,Xd) | -s_t(Xa,Xb,Xe) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_5b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	16 (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].
0.81/1.08	17 (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].
0.81/1.08	18 (all Xa all Xc all Xd le(Xa,Xa,Xc,Xd)) # label(aSatz5_11) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	19 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd) | s_t(Xa,Xd,Xc) | s_t(Xa,Xc,Xd) | Xa = Xb)) # label(aSatz5_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	20 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xa,Xc,Xd) | s_t(Xa,Xb,Xd))) # label(aSatz3_6b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	21 (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].
0.81/1.08	22 (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].
0.81/1.08	23 (all Xa all Xb all Xc all Xd (-s_e(Xa,Xb,Xc,Xd) | s_e(Xa,Xb,Xd,Xc))) # label(aSatz2_5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	24 (all Xa all Xp all Xb (s_t(Xa,Xp,Xb) | -s_col(Xa,Xp,Xb) | sameside(Xa,Xp,Xb))) # label(aSatz6_4b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	25 (all Xa all Xb all Xd all Xc (-s_t(Xa,Xc,Xd) | s_t(Xa,Xc,Xb) | s_t(Xa,Xb,Xc) | -s_t(Xa,Xb,Xd))) # label(aSatz5_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	26 (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].
0.81/1.08	27 (all Xa all Xb s_t(Xa,Xb,Xb)) # label(aSatz3_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	28 (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].
0.81/1.08	29 (all Xa all Xb all Xc ((-s_t(Xb,Xc,Xa) | s_col(Xa,Xb,Xc)) & (s_col(Xa,Xb,Xc) | -s_t(Xc,Xa,Xb)) & (-s_t(Xa,Xb,Xc) | s_col(Xa,Xb,Xc)) & (-s_col(Xa,Xb,Xc) | s_t(Xa,Xb,Xc) | s_t(Xc,Xa,Xb) | s_t(Xb,Xc,Xa)))) # label(d_Defn4_10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	30 (all Xa all Xb all Xc (s_col(Xb,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz4_11d) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	31 (all Xa all Xb all Xc all Xd all Xe all Xf (le(Xa,Xb,Xe,Xf) | -le(Xc,Xd,Xe,Xf) | -le(Xa,Xb,Xc,Xd))) # label(aSatz5_8) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	32 (all Xa all Xp all Xb all Xc (sameside(Xa,Xp,Xb) | Xb = Xp | -s_t(Xa,Xp,Xc) | -s_t(Xb,Xp,Xc) | Xc = Xp | Xa = Xp)) # label(aSatz6_3b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	33 (all Xa all Xb s_e(Xa,Xb,Xa,Xb)) # label(aSatz2_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	34 (all Xb all Xc all Xa (Xc = Xb | -s_e(Xb,Xc,Xa,Xa))) # label(aSatz2_13) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	35 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e(Xb,Xc,Xb1,Xc1) | s_e(Xa,Xb,Xa1,Xb1) | -s_e(Xa,Xc,Xa1,Xc1) | -s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	36 (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].
0.81/1.08	37 (all Xa all Xp all Xb ((s_col(Xa,Xp,Xb) | -sameside(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xb)))) # label(aSatz6_4a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	38 (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].
0.81/1.08	39 (all Xa1 all Xb1 s_t(Xa1,Xa1,Xb1)) # label(aSatz3_3) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	40 (all Xa all Xb all Xc all Xd all Y ((-s_t(Xc,Y,Xd) | le(Xa,Xb,Xc,Xd) | -s_e(Xa,Xb,Xc,Y)) & (s_e(Xa,Xb,Xc,insert(Xa,Xb,Xc,Xd)) | -le(Xa,Xb,Xc,Xd)) & (s_t(Xc,insert(Xa,Xb,Xc,Xd),Xd) | -le(Xa,Xb,Xc,Xd)))) # label(d_Defn5_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	41 (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].
0.81/1.08	42 (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].
0.81/1.08	43 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_col(Xa1,Xb1,Xc1) | -s_col(Xa,Xb,Xc))) # label(aSatz4_13) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	44 (all Xa all Xb all Xc all Xa1 all Xb1 all Xp ((-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | s_t(Xp,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xc) | -s_t(Xa,Xp,Xa1)) & (-s_t(Xa,Xb,Xc) | -s_t(Xa1,Xb1,Xc) | s_t(Xb,crossbar(Xa,Xb,Xc,Xa1,Xb1,Xp),Xb1) | -s_t(Xa,Xp,Xa1)))) # label(aSatz3_17) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	45 (all Xa all Xp all Xb all Xc (-sameside(Xa,Xp,Xb) | sameside(Xa,Xp,Xc) | -sameside(Xb,Xp,Xc))) # label(aSatz6_7) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	46 (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].
0.81/1.08	47 (all Xa all Xp (sameside(Xa,Xp,Xa) | Xa = Xp)) # label(aSatz6_5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	48 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | s_t(Xb,Xc,Xd) | s_t(Xb,Xd,Xc) | -s_t(Xa,Xb,Xd) | Xb = Xa)) # label(aSatz5_2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	49 (all Xa all Xb all Xc all Xp all Xq (-s_col(Xa,Xb,Xc) | -s_e(Xa,Xp,Xa,Xq) | -s_e(Xb,Xp,Xb,Xq) | s_e(Xc,Xp,Xc,Xq) | Xa = Xb)) # label(aSatz4_17) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	50 (all Xa all Xb all Xc all XA all XB all XC (-s_e(Xa,Xb,XB,XC) | -s_e(Xb,Xc,XA,XB) | s_e(Xa,Xc,XA,XC) | -s_t(XA,XB,XC) | -s_t(Xa,Xb,Xc))) # label(aSatz2_15) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	51 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xa,Xc) | Xb = Xa)) # label(aSatz3_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	52 (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(Xa1,Xa3,Xb1,Xb3) | -s_e3(Xa1,Xa2,Xa3,Xb1,Xb2,Xb3)) & (-s_e(Xa1,Xa2,Xb1,Xb2) | 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)))) # label(d_Defn4_4) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	53 (all Xa all Xb s_e(Xa,Xa,Xb,Xb)) # label(aSatz2_8) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	54 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xb,Xd))) # label(aSatz3_7b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	55 (all Xa all Xp all Xb all Xc (Xp = Xb | Xc = Xp | -s_t(Xb,Xp,Xc) | sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xp = Xa)) # label(aSatz6_2a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	56 (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	57 (all Xa all Xb all Xc all Xa1 all Xb1 all Xc1 (-s_e3(Xa,Xb,Xc,Xa1,Xb1,Xc1) | s_t(Xa1,Xb1,Xc1) | -s_t(Xa,Xb,Xc))) # label(aSatz4_6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	58 (all Xa all Xb all Xc all Xd ((-le(Xa,Xb,Xc,Xd) | s_e(Xa,ins(Xc,Xd,Xa,Xb),Xc,Xd)) & (-le(Xa,Xb,Xc,Xd) | ins(Xc,Xd,Xa,Xb) = ext(Xa,Xb,insert(Xa,Xb,Xc,Xd),Xd)) & (s_t(Xa,Xb,ins(Xc,Xd,Xa,Xb)) | -le(Xa,Xb,Xc,Xd)))) # label(aSatz5_5a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	59 (all Xa all Xb all Xc all Xd (le(Xc,Xd,Xa,Xb) | le(Xa,Xb,Xc,Xd))) # label(aSatz5_10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	60 (all Xa all Xb s_col(Xa,Xa,Xb)) # label(aSatz4_12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	61 (all Xq all Xa all Xd all Xb all Xc (Xq = Xa | -s_t(Xq,Xa,Xd) | ext(Xq,Xa,Xb,Xc) = Xd | -s_e(Xa,Xd,Xb,Xc))) # label(aSatz2_12) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	62 (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	63 (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].
0.81/1.08	64 (all Xa all Xb all Xc all Xa1 all Xc1 ((-s_e(Xa,Xc,Xa1,Xc1) | s_t(Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_t(Xa,Xb,Xc)) & (-s_t(Xa,Xb,Xc) | s_e3(Xa,Xb,Xc,Xa1,insert(Xa,Xb,Xa1,Xc1),Xc1) | -s_e(Xa,Xc,Xa1,Xc1)))) # label(aSatz4_5) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	65 (all Xa all Xb all Xc all Xd (-s_t(Xa,Xb,Xc) | -s_t(Xb,Xc,Xd) | Xb = Xc | s_t(Xa,Xc,Xd))) # label(aSatz3_7a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	66 (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	67 (all Xa all Xp all Xb (-sameside(Xa,Xp,Xb) | sameside(Xb,Xp,Xa))) # label(aSatz6_6) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	68 (all Xa all Xb all Xc (Xb = Xc | -s_e(Xa,Xc,Xa,Xb) | -s_t(Xa,Xb,Xc))) # label(aNarbouxLemma1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	69 (all Xa all Xb all Xc all Xc1 (Xa = Xb | -s_col(Xa,Xb,Xc) | -s_e(Xa,Xc,Xa,Xc1) | -s_e(Xb,Xc,Xb,Xc1) | Xc = Xc1)) # label(aSatz4_18) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	70 (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].
0.81/1.08	71 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xp != Xa) & (-sameside(Xa,Xp,Xb) | Xp != c63(Xa,Xp,Xb)) & (-sameside(Xa,Xp,Xb) | s_t(Xb,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | s_t(Xa,Xp,c63(Xa,Xp,Xb))) & (-sameside(Xa,Xp,Xb) | Xb != Xp))) # label(aSatz6_3a) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	72 (all Xa all Xb all Xc (-s_t(Xa,Xb,Xc) | le(Xb,Xc,Xa,Xc) | -s_col(Xa,Xb,Xc))) # label(aSatz5_12a2) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	73 (all Xa all Xp all Xb all Xc (Xa = Xp | Xp = Xb | s_t(Xb,Xp,Xc) | -sameside(Xa,Xp,Xb) | -s_t(Xa,Xp,Xc) | Xp = Xc)) # label(aSatz6_2b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	74 (all Xa all Xb all Xc all Xd all Za all Zb all Zc all Zd ((-s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Xa,Xb,Xc)) & (s_e(Xc,Xd,Zc,Zd) | -s_ifs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_t(Xa,Xb,Xc) | -s_t(Za,Zb,Zc) | -s_e(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_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].
0.81/1.08	75 (all Xa all Xb s_col(Xa,Xb,Xa)) # label(aSatz4_12b) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	76 (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].
0.81/1.08	77 (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(Za,Zb,Zc)) & (-s_t(Xa,Xb,Xc) | -s_e(Xb,Xc,Zb,Zc) | -s_e(Xa,Xd,Za,Zd) | s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | -s_e(Xb,Xd,Zb,Zd) | -s_e(Xa,Xb,Za,Zb) | -s_t(Za,Zb,Zc)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_e(Xb,Xd,Zb,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,Xc,Zb,Zc)) & (s_e(Xa,Xb,Za,Zb) | -s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd)) & (-s_afs(Xa,Xb,Xc,Xd,Za,Zb,Zc,Zd) | s_t(Xa,Xb,Xc)))) # label(d_Defn2_10) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	78 (all Xa all Xb all Xc all Xd all Xa1 all Xb1 all Xc1 all 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_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)) & (-s_col(Xa,Xb,Xc) | -s_e(Xa,Xd,Xa1,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_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1) | s_e(Xb,Xd,Xb1,Xd1)) & (s_e(Xa,Xd,Xa1,Xd1) | -s_fs(Xa,Xb,Xc,Xd,Xa1,Xb1,Xc1,Xd1)))) # label(d_Defn4_15) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	79 (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].
0.81/1.08	80 (all Xa all Xp all Xb ((-sameside(Xa,Xp,Xb) | Xa != Xp) & (Xp != Xb | -sameside(Xa,Xp,Xb)) & (s_t(Xp,Xb,Xa) | s_t(Xp,Xa,Xb) | -sameside(Xa,Xp,Xb)) & (Xb = Xp | sameside(Xa,Xp,Xb) | Xa = Xp | -s_t(Xp,Xb,Xa)) & (sameside(Xa,Xp,Xb) | xb = Xp | Xa = Xp | -s_t(Xp,Xa,Xb)))) # label(d_Defn6_1) # label(axiom) # label(non_clause).  [assumption].
0.81/1.08	81 -(all Xr all Xa all Xb all Xc ((Xa = Xr | s_e(Xa,insert(Xb,Xc,Xa,Xr),Xb,Xc) | Xc = Xb) & (Xb = Xc | sameside(insert(Xb,Xc,Xa,Xr),Xa,Xr) | Xr = Xa))) # label(aSatz6_11a) # 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	82 -s_e3(A,B,C,D,E,F) | s_col(D,E,F) | -s_col(A,B,C) # label(aSatz4_13) # label(axiom).  [clausify(43)].
0.81/1.08	83 -s_col(A,B,C) | s_e3(A,B,C,D,E,insert5(A,B,C,D,E)) | -s_e(A,B,D,E) # label(aSatz4_14) # label(axiom).  [clausify(10)].
0.81/1.08	Derived: s_col(A,B,insert5(C,D,E,A,B)) | -s_col(C,D,E) | -s_col(C,D,E) | -s_e(C,D,A,B).  [resolve(82,a,83,b)].
0.81/1.08	84 s_e(A,B,C,D) | -s_e3(A,B,E,C,D,F) # label(d_Defn4_4) # label(axiom).  [clausify(52)].
0.81/1.08	85 s_e(A,B,C,D) | -s_e3(A,E,B,C,F,D) # label(d_Defn4_4) # label(axiom).  [clausify(52)].
0.81/1.08	Derived: s_e(A,B,C,insert5(A,D,B,C,E)) | -s_col(A,D,B) | -s_e(A,D,C,E).  [resolve(85,b,83,b)].
0.81/1.08	86 -s_e(A,B,C,D) | s_e3(A,B,E,C,D,F) | -s_e(B,E,D,F) | -s_e(A,E,C,F) # label(d_Defn4_4) # label(axiom).  [clausify(52)].
0.81/1.08	Derived: -s_e(A,B,C,D) | -s_e(B,E,D,F) | -s_e(A,E,C,F) | s_col(C,D,F) | -s_col(A,B,E).  [resolve(86,b,82,a)].
0.81/1.08	87 s_e(A,B,C,D) | -s_e3(E,A,B,F,C,D) # label(d_Defn4_4) # label(axiom).  [clausify(52)].
0.81/1.08	Derived: s_e(A,B,C,insert5(D,A,B,E,C)) | -s_col(D,A,B) | -s_e(D,A,E,C).  [resolve(87,b,83,b)].
0.81/1.08	88 -s_e3(A,B,C,D,E,F) | s_t(D,E,F) | -s_t(A,B,C) # label(aSatz4_6) # label(axiom).  [clausify(57)].
0.81/1.08	Derived: s_t(A,B,insert5(C,D,E,A,B)) | -s_t(C,D,E) | -s_col(C,D,E) | -s_e(C,D,A,B).  [resolve(88,a,83,b)].
0.81/1.08	Derived: s_t(A,B,C) | -s_t(D,E,F) | -s_e(D,E,A,B) | -s_e(E,F,B,C) | -s_e(D,F,A,C).  [resolve(88,a,86,b)].
0.81/1.08	89 -s_t(A,B,C) | s_e3(A,B,C,D,insert(A,B,D,E),E) | -s_e(A,C,D,E) # label(aSatz4_5) # label(axiom).  [clausify(64)].
0.81/1.08	Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_col(D,insert(A,B,D,E),E) | -s_col(A,B,C).  [resolve(89,b,82,a)].
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(89,b,84,b)].
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(89,b,87,b)].
0.81/1.08	Derived: -s_t(A,B,C) | -s_e(A,C,D,E) | s_t(D,insert(A,B,D,E),E) | -s_t(A,B,C).  [resolve(89,b,88,a)].
0.81/1.08	90 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(78)].
0.81/1.09	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_col(E,F,V6) | -s_col(A,B,C).  [resolve(90,a,82,a)].
0.81/1.09	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,B,E,F).  [resolve(90,a,84,b)].
0.81/1.09	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(A,C,E,V6).  [resolve(90,a,85,b)].
0.81/1.09	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_e(B,C,F,V6).  [resolve(90,a,87,b)].
0.81/1.09	Derived: -s_fs(A,B,C,D,E,F,V6,V7) | s_t(E,F,V6) | -s_t(A,B,C).  [resolve(90,a,88,a)].
0.81/1.09	91 -s_col(A,B,C) | -s_e(A,D,E,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_e(B,D,V6,F) | -s_e3(A,B,C,E,V6,V7) # label(d_Defn4_15) # label(axiom).  [clausify(78)].
0.81/1.09	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | s_fs(A,B,C,D,E,V6,insert5(A,B,C,E,V6),F) | -s_e(B,D,V6,F) | -s_col(A,B,C) | -s_e(A,B,E,V6).  [resolve(91,e,83,b)].
0.81/1.09	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | s_fs(A,B,C,D,E,V6,V7,F) | -s_e(B,D,V6,F) | -s_e(A,B,E,V6) | -s_e(B,C,V6,V7) | -s_e(A,C,E,V7).  [resolve(91,e,86,b)].
0.81/1.09	Derived: -s_col(A,B,C) | -s_e(A,D,E,F) | s_fs(A,B,C,D,E,insert(A,B,E,V6),V6,F) | -s_e(B,D,insert(A,B,E,VCputime limit exceeded (core dumped)
180.05/180.31	EOF