0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : /export/starexec/sandbox/solver/bin/run_iprover 120 /export/starexec/sandbox/benchmark/theBenchmark.p THM
0.13/0.34	% Computer : n017.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 960
0.13/0.34	% WCLimit  : 120
0.13/0.34	% DateTime : Wed Jul 30 16:38:19 EDT 2025
0.13/0.34	% CPUTime  : 
0.19/0.49	Running TFA theorem proving
0.19/0.49	Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s tfa_schedule -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.19/0.50	
0.19/0.50	% ======== iProver multi-core TPTP/SMT =========
0.19/0.50	
0.19/0.50	% Detected problem language: tptp
0.19/0.51	% Checking...
0.62/1.20	% Proving...
12.06/2.98	% SZS status Started for theBenchmark.p
12.06/2.98	% SZS status Theorem for theBenchmark.p
12.06/2.98	
12.06/2.98	%---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------%
12.06/2.98	
12.06/2.98	% ------  iProver source info
12.06/2.98	
12.06/2.98	% git: date: 2025-07-21 10:15:00 +0000
12.06/2.98	% git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f
12.06/2.98	% git: non_committed_changes: true
12.06/2.98	
12.06/2.98	% ------ Parsing...
12.06/2.98	% ------ Clausification by vclausify_rel  & Parsing by iProver...% 
12.06/2.98	
12.06/2.98	% ------ Preprocessing... sup_sim: 2  sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e % 
12.06/2.98	
12.06/2.98	% ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
12.06/2.98	
12.06/2.98	% ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e % 
12.06/2.98	% ------ Proving...
12.06/2.98	% ------ Problem Properties 
12.06/2.98	
12.06/2.98	% 
12.06/2.98	% clauses                               133
12.06/2.98	% conjectures                           11
12.06/2.98	% EPR                                   8
12.06/2.98	% Horn                                  112
12.06/2.98	% unary                                 67
12.06/2.98	% binary                                44
12.06/2.98	% lits                                  232
12.06/2.98	% lits eq                               67
12.06/2.98	% fd_pure                               1
12.06/2.98	% fd_pseudo                             0
12.06/2.98	% fd_cond                               0
12.06/2.98	% fd_pseudo_cond                        6
12.06/2.98	% AC symbols                            2
12.06/2.98	
12.06/2.98	% % ------ Input Options Time Limit: Unbounded
12.06/2.98	
12.06/2.98	
12.06/2.98	% % ------ 
12.06/2.98	% Current options:
12.06/2.98	% ------ 
12.06/2.98	
12.06/2.98	
12.06/2.98	% 
12.06/2.98	
12.06/2.98	% ------ Proving...
12.06/2.98	% 
12.06/2.98	
12.06/2.98	% SZS status Theorem for theBenchmark.p
12.06/2.98	
12.06/2.98	% % SZS output start CNFRefutation for theBenchmark.p
12.06/2.98	
12.06/2.98	tff(func_def_0, type, witness: ty > uni).
12.06/2.98	tff(pred_def_1, type, sort: (ty * uni) > $o).
12.06/2.98	tff(pred_def_2, type, mem: (ty * uni * uni) > $o).
12.06/2.98	tff(pred_def_3, type, distinct: (ty * uni) > $o).
12.06/2.98	tff(pred_def_4, type, same_shape: (ty * ty * uni * uni) > $o).
12.06/2.98	tff(func_def_5, type, false: bool).
12.06/2.98	tff(func_def_6, type, match_bool: (ty * bool * uni * uni) > uni).
12.06/2.98	tff(pred_def_7, type, sP0: (ty * ty * uni * uni) > $o).
12.06/2.98	tff(pred_def_8, type, sP1: (ty * uni) > $o).
12.06/2.98	tff(func_def_9, type, qtmark: ty).
12.06/2.98	tff(func_def_10, type, list: ty > ty).
12.06/2.98	tff(func_def_11, type, nil: ty > uni).
12.06/2.98	tff(func_def_12, type, cons: (ty * uni * uni) > uni).
12.06/2.98	tff(func_def_13, type, match_list: (ty * ty * uni * uni * uni) > uni).
12.06/2.98	tff(func_def_14, type, cons_proj_1: (ty * uni) > uni).
12.06/2.98	tff(func_def_15, type, cons_proj_2: (ty * uni) > uni).
12.06/2.98	tff(func_def_16, type, infix_plpl: (ty * uni * uni) > uni).
12.06/2.98	tff(func_def_17, type, length: (ty * uni) > $int).
12.06/2.98	tff(func_def_18, type, tree: ty > ty).
12.06/2.98	tff(func_def_19, type, leaf: (ty * uni) > uni).
12.06/2.98	tff(func_def_20, type, node: (ty * uni * uni) > uni).
12.06/2.98	tff(func_def_21, type, match_tree: (ty * ty * uni * uni * uni) > uni).
12.06/2.98	tff(func_def_22, type, leaf_proj_1: (ty * uni) > uni).
12.06/2.98	tff(func_def_23, type, node_proj_1: (ty * uni) > uni).
12.06/2.98	tff(func_def_24, type, node_proj_2: (ty * uni) > uni).
12.06/2.98	tff(func_def_25, type, labels: (ty * uni) > uni).
12.06/2.98	tff(func_def_26, type, ref: ty > ty).
12.06/2.98	tff(func_def_27, type, mk_ref: (ty * uni) > uni).
12.06/2.98	tff(func_def_28, type, contents: (ty * uni) > uni).
12.06/2.98	tff(func_def_29, type, a1: ty).
12.06/2.98	tff(func_def_30, type, t2tb: tree_int > uni).
12.06/2.98	tff(func_def_31, type, tb2t: uni > tree_int).
12.06/2.98	tff(func_def_32, type, t2tb1: list_int > uni).
12.06/2.98	tff(func_def_33, type, tb2t1: uni > list_int).
12.06/2.98	tff(func_def_34, type, t2tb2: tree_a1 > uni).
12.06/2.98	tff(func_def_35, type, tb2t2: uni > tree_a1).
12.06/2.98	tff(func_def_36, type, t2tb3: $int > uni).
12.06/2.98	tff(func_def_37, type, tb2t3: uni > $int).
12.06/2.98	tff(func_def_43, type, sK2: (ty * uni * uni) > uni).
12.06/2.98	tff(func_def_44, type, sK3: (ty * uni * uni) > uni).
12.06/2.98	tff(func_def_45, type, sK4: $int).
12.06/2.98	tff(func_def_46, type, sK5: tree_a1).
12.06/2.98	tff(func_def_47, type, sK6: tree_a1).
12.06/2.98	tff(func_def_48, type, sK7: $int).
12.06/2.98	tff(func_def_49, type, sK8: tree_int).
12.06/2.98	tff(func_def_50, type, sK9: $int).
12.06/2.98	tff(func_def_51, type, sK10: tree_int).
12.06/2.98	tff(func_def_52, type, sK11: $int).
12.06/2.98	tff(func_def_53, type, sK12: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_54, type, sK13: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_55, type, sK14: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_56, type, sK15: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_57, type, sK16: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_58, type, sK17: (ty * ty * uni * uni) > uni).
12.06/2.98	tff(func_def_59, type, sK18: (ty * uni) > uni).
12.06/2.98	tff(func_def_60, type, sK19: (ty * uni) > uni).
12.06/2.98	tff(func_def_61, type, sK20: (ty * uni) > uni).
12.06/2.98	tff(func_def_62, type, sK21: (ty * uni * uni) > uni).
12.06/2.98	tff(f2,axiom,(
12.06/2.98	  ! [X0 : ty] : (! [X1 : uni] : labels(X0,leaf(X0,X1)) = cons(X0,X1,nil(X0)) & ! [X1 : uni,X2 : uni] : labels(X0,node(X0,X1,X2)) = infix_plpl(X0,labels(X0,X1),labels(X0,X2)))),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',labels_def)).
12.06/2.98	
12.06/2.98	tff(f9,axiom,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X3 : uni,X11 : uni] : ((mem(X0,X1,labels(X0,X11)) | mem(X0,X1,labels(X0,X3))) <=> mem(X0,X1,labels(X0,node(X0,X3,X11))))),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',labels_Node)).
12.06/2.98	
12.06/2.98	tff(f17,conjecture,(
12.06/2.98	  ! [X11 : $int,X1 : tree_a1,X2 : tree_a1,X15 : $int,X16 : tree_int] : ((! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & $lesseq(X13,X15))) & $lesseq(X11,X15) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X18)) & $lesseq(X15,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => ($lesseq(X13,X17) & $less(X15,X13))) & distinct(int,labels(int,t2tb(X18)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & $lesseq(X11,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => ($lesseq(X13,X17) & $less(X11,X13))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_relabel)).
12.06/2.98	
12.06/2.98	tff(f18,negated_conjecture,(
12.06/2.98	  ~! [X11 : $int,X1 : tree_a1,X2 : tree_a1,X15 : $int,X16 : tree_int] : ((! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & $lesseq(X13,X15))) & $lesseq(X11,X15) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X18)) & $lesseq(X15,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => ($lesseq(X13,X17) & $less(X15,X13))) & distinct(int,labels(int,t2tb(X18)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & $lesseq(X11,X17) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => ($lesseq(X13,X17) & $less(X11,X13))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))),
12.06/2.98	inference(negated_conjecture,[status(cth)],[f17])).
12.06/2.98	
12.06/2.98	tff(f38,axiom,(
12.06/2.98	  ! [X0 : ty,X19 : ty,X4 : uni,X15 : uni,X5 : uni,X17 : uni] : (same_shape(X19,X0,X4,X5) => (same_shape(X19,X0,X15,X17) => same_shape(X19,X0,node(X0,X4,X15),node(X19,X5,X17))))),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_shape_Node)).
12.06/2.98	
12.06/2.98	tff(f39,axiom,(
12.06/2.98	  ! [X23 : uni] : t2tb3(tb2t3(X23)) = X23),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR3)).
12.06/2.98	
12.06/2.98	tff(f43,axiom,(
12.06/2.98	  ! [X0 : ty,X4 : uni,X5 : uni] : (distinct(X0,X4) => (distinct(X0,X5) => (! [X1 : uni] : (sort(X0,X1) => (mem(X0,X1,X4) => ~mem(X0,X1,X5))) => distinct(X0,infix_plpl(X0,X4,X5)))))),
12.06/2.98	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',distinct_append)).
12.06/2.98	
12.06/2.98	tff(f74,plain,(
12.06/2.98	  ~! [X11 : $int,X1 : tree_a1,X2 : tree_a1,X15 : $int,X16 : tree_int] : ((! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X16))) => ($less(X11,X13) & ~$less(X15,X13))) & ~$less(X15,X11) & distinct(int,labels(int,t2tb(X16))) & same_shape(int,a1,t2tb2(X2),t2tb(X16))) => ! [X17 : $int,X18 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X18)) & ~$less(X17,X15) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,t2tb(X18))) => (~$less(X17,X13) & $less(X15,X13))) & distinct(int,labels(int,t2tb(X18)))) => (distinct(int,labels(int,node(int,t2tb(X18),t2tb(X16)))) & ~$less(X17,X11) & ! [X13 : $int] : (mem(int,t2tb3(X13),labels(int,node(int,t2tb(X18),t2tb(X16)))) => (~$less(X17,X13) & $less(X11,X13))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X18),t2tb(X16))))))),
12.06/2.98	  inference(theory_normalization,[],[f18])).
12.06/2.98	
12.06/2.98	tff(f83,plain,(
12.06/2.98	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
12.06/2.98	  introduced(theory_axiom_146,[])).
12.06/2.98	
12.06/2.98	tff(f95,plain,(
12.06/2.98	  ! [X0 : ty] : (! [X1 : uni] : labels(X0,leaf(X0,X1)) = cons(X0,X1,nil(X0)) & ! [X2 : uni,X3 : uni] : labels(X0,node(X0,X2,X3)) = infix_plpl(X0,labels(X0,X2),labels(X0,X3)))),
12.06/2.98	  inference(rectify,[],[f2])).
12.06/2.98	
12.06/2.98	tff(f101,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2))) <=> mem(X0,X1,labels(X0,node(X0,X2,X3))))),
12.06/2.98	  inference(rectify,[],[f9])).
12.06/2.98	
12.06/2.98	tff(f108,plain,(
12.06/2.98	  ~! [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : ((! [X5 : $int] : (mem(int,t2tb3(X5),labels(int,t2tb(X4))) => ($less(X0,X5) & ~$less(X3,X5))) & ~$less(X3,X0) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X2),t2tb(X4))) => ! [X6 : $int,X7 : tree_int] : ((same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : (mem(int,t2tb3(X8),labels(int,t2tb(X7))) => (~$less(X6,X8) & $less(X3,X8))) & distinct(int,labels(int,t2tb(X7)))) => (distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) & ~$less(X6,X0) & ! [X9 : $int] : (mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4)))) => (~$less(X6,X9) & $less(X0,X9))) & same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4))))))),
12.06/2.98	  inference(rectify,[],[f74])).
12.06/2.98	
12.06/2.98	tff(f125,plain,(
12.06/2.98	  ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,X2,X4) => (same_shape(X1,X0,X3,X5) => same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5))))),
12.06/2.98	  inference(rectify,[],[f38])).
12.06/2.98	
12.06/2.98	tff(f126,plain,(
12.06/2.98	  ! [X0 : uni] : t2tb3(tb2t3(X0)) = X0),
12.06/2.98	  inference(rectify,[],[f39])).
12.06/2.98	
12.06/2.98	tff(f127,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,X1) => (distinct(X0,X2) => (! [X3 : uni] : (sort(X0,X3) => (mem(X0,X3,X1) => ~mem(X0,X3,X2))) => distinct(X0,infix_plpl(X0,X1,X2)))))),
12.06/2.98	  inference(rectify,[],[f43])).
12.06/2.98	
12.06/2.98	tff(f156,plain,(
12.06/2.98	  ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | $less(X6,X0) | ? [X9 : $int] : (($less(X6,X9) | ~$less(X0,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4))))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4)))) & (same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & distinct(int,labels(int,t2tb(X7))))) & (! [X5 : $int] : (($less(X0,X5) & ~$less(X3,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))) & ~$less(X3,X0) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X2),t2tb(X4))))),
12.06/2.98	  inference(ennf_transformation,[],[f108])).
12.06/2.98	
12.06/2.98	tff(f157,plain,(
12.06/2.98	  ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X6 : $int,X7 : tree_int] : ((~distinct(int,labels(int,node(int,t2tb(X7),t2tb(X4)))) | $less(X6,X0) | ? [X9 : $int] : (($less(X6,X9) | ~$less(X0,X9)) & mem(int,t2tb3(X9),labels(int,node(int,t2tb(X7),t2tb(X4))))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X7),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X7)) & ~$less(X6,X3) & ! [X8 : $int] : ((~$less(X6,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X7)))) & distinct(int,labels(int,t2tb(X7)))) & ! [X5 : $int] : (($less(X0,X5) & ~$less(X3,X5)) | ~mem(int,t2tb3(X5),labels(int,t2tb(X4)))) & ~$less(X3,X0) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X2),t2tb(X4)))),
12.06/2.98	  inference(flattening,[],[f156])).
12.06/2.98	
12.06/2.98	tff(f164,plain,(
12.06/2.98	  ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : ((same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5)) | ~same_shape(X1,X0,X2,X4))),
12.06/2.98	  inference(ennf_transformation,[],[f125])).
12.06/2.98	
12.06/2.98	tff(f165,plain,(
12.06/2.98	  ! [X0 : ty,X1 : ty,X2 : uni,X3 : uni,X4 : uni,X5 : uni] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4))),
12.06/2.98	  inference(flattening,[],[f164])).
12.06/2.98	
12.06/2.98	tff(f166,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni] : (((distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : ((mem(X0,X3,X2) & mem(X0,X3,X1)) & sort(X0,X3))) | ~distinct(X0,X2)) | ~distinct(X0,X1))),
12.06/2.98	  inference(ennf_transformation,[],[f127])).
12.06/2.98	
12.06/2.98	tff(f167,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | ? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) | ~distinct(X0,X2) | ~distinct(X0,X1))),
12.06/2.98	  inference(flattening,[],[f166])).
12.06/2.98	
12.06/2.98	tff(f183,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : (((mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2))) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))) & (mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X3)) & ~mem(X0,X1,labels(X0,X2)))))),
12.06/2.98	  inference(nnf_transformation,[],[f101])).
12.06/2.98	
12.06/2.98	tff(f184,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni,X3 : uni] : ((mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2)) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))) & (mem(X0,X1,labels(X0,node(X0,X2,X3))) | (~mem(X0,X1,labels(X0,X3)) & ~mem(X0,X1,labels(X0,X2)))))),
12.06/2.98	  inference(flattening,[],[f183])).
12.06/2.98	
12.06/2.98	tff(f187,plain,(
12.06/2.98	  ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | $less(X5,X0) | ? [X7 : $int] : (($less(X5,X7) | ~$less(X0,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & ~$less(X5,X3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & ! [X9 : $int] : (($less(X0,X9) & ~$less(X3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4)))) & ~$less(X3,X0) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X2),t2tb(X4)))),
12.06/2.98	  inference(rectify,[],[f157])).
12.06/2.98	
12.06/2.98	tff(f188,plain,(
12.06/2.98	  ? [X0 : $int,X1 : tree_a1,X2 : tree_a1,X3 : $int,X4 : tree_int] : (? [X5 : $int,X6 : tree_int] : ((~distinct(int,labels(int,node(int,t2tb(X6),t2tb(X4)))) | $less(X5,X0) | ? [X7 : $int] : (($less(X5,X7) | ~$less(X0,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(X4))))) | ~same_shape(int,a1,node(a1,t2tb2(X1),t2tb2(X2)),node(int,t2tb(X6),t2tb(X4)))) & same_shape(int,a1,t2tb2(X1),t2tb(X6)) & ~$less(X5,X3) & ! [X8 : $int] : ((~$less(X5,X8) & $less(X3,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & ! [X9 : $int] : (($less(X0,X9) & ~$less(X3,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(X4)))) & ~$less(X3,X0) & distinct(int,labels(int,t2tb(X4))) & same_shape(int,a1,t2tb2(X2),t2tb(X4))) => (? [X6 : tree_int,X5 : $int] : ((~distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK8)))) | $less(X5,sK4) | ? [X7 : $int] : (($less(X5,X7) | ~$less(sK4,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK8))))) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(X6),t2tb(sK8)))) & same_shape(int,a1,t2tb2(sK5),t2tb(X6)) & ~$less(X5,sK7) & ! [X8 : $int] : ((~$less(X5,X8) & $less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) & ! [X9 : $int] : (($less(sK4,X9) & ~$less(sK7,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK8)))) & ~$less(sK7,sK4) & distinct(int,labels(int,t2tb(sK8))) & same_shape(int,a1,t2tb2(sK6),t2tb(sK8)))),
12.06/2.98	  introduced(choice_axiom,[])).
12.06/2.98	
12.06/2.98	tff(f189,plain,(
12.06/2.98	  ? [X6 : tree_int,X5 : $int] : ((~distinct(int,labels(int,node(int,t2tb(X6),t2tb(sK8)))) | $less(X5,sK4) | ? [X7 : $int] : (($less(X5,X7) | ~$less(sK4,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(X6),t2tb(sK8))))) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(X6),t2tb(sK8)))) & same_shape(int,a1,t2tb2(sK5),t2tb(X6)) & ~$less(X5,sK7) & ! [X8 : $int] : ((~$less(X5,X8) & $less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(X6)))) & distinct(int,labels(int,t2tb(X6)))) => ((~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8)))) | $less(sK9,sK4) | ? [X7 : $int] : (($less(sK9,X7) | ~$less(sK4,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK10),t2tb(sK8))))) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))) & same_shape(int,a1,t2tb2(sK5),t2tb(sK10)) & ~$less(sK9,sK7) & ! [X8 : $int] : ((~$less(sK9,X8) & $less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK10)))) & distinct(int,labels(int,t2tb(sK10))))),
12.06/2.98	  introduced(choice_axiom,[])).
12.06/2.98	
12.06/2.98	tff(f190,plain,(
12.06/2.98	  ? [X7 : $int] : (($less(sK9,X7) | ~$less(sK4,X7)) & mem(int,t2tb3(X7),labels(int,node(int,t2tb(sK10),t2tb(sK8))))) => (($less(sK9,sK11) | ~$less(sK4,sK11)) & mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8)))))),
12.06/2.98	  introduced(choice_axiom,[])).
12.06/2.98	
12.06/2.98	tff(f191,plain,(
12.06/2.98	  ((~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8)))) | $less(sK9,sK4) | (($less(sK9,sK11) | ~$less(sK4,sK11)) & mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))) & same_shape(int,a1,t2tb2(sK5),t2tb(sK10)) & ~$less(sK9,sK7) & ! [X8 : $int] : ((~$less(sK9,X8) & $less(sK7,X8)) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK10)))) & distinct(int,labels(int,t2tb(sK10)))) & ! [X9 : $int] : (($less(sK4,X9) & ~$less(sK7,X9)) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK8)))) & ~$less(sK7,sK4) & distinct(int,labels(int,t2tb(sK8))) & same_shape(int,a1,t2tb2(sK6),t2tb(sK8))),
12.06/2.98	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f187,f190,f189,f188])).
12.06/2.98	
12.06/2.98	tff(f204,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni] : (? [X3 : uni] : (mem(X0,X3,X2) & mem(X0,X3,X1) & sort(X0,X3)) => (mem(X0,sK21(X0,X1,X2),X2) & mem(X0,sK21(X0,X1,X2),X1) & sort(X0,sK21(X0,X1,X2))))),
12.06/2.98	  introduced(choice_axiom,[])).
12.06/2.98	
12.06/2.98	tff(f205,plain,(
12.06/2.98	  ! [X0 : ty,X1 : uni,X2 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | (mem(X0,sK21(X0,X1,X2),X2) & mem(X0,sK21(X0,X1,X2),X1) & sort(X0,sK21(X0,X1,X2))) | ~distinct(X0,X2) | ~distinct(X0,X1))),
12.06/2.98	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f167,f204])).
12.06/2.98	
12.06/2.98	tff(f211,plain,(
12.06/2.98	  ( ! [X2 : uni,X3 : uni,X0 : ty] : (labels(X0,node(X0,X2,X3)) = infix_plpl(X0,labels(X0,X2),labels(X0,X3))) )),
12.06/2.98	  inference(cnf_transformation,[],[f95])).
12.06/2.98	
12.06/2.98	tff(f223,plain,(
12.06/2.98	  ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : uni] : (mem(X0,X1,labels(X0,X3)) | mem(X0,X1,labels(X0,X2)) | ~mem(X0,X1,labels(X0,node(X0,X2,X3)))) )),
12.06/2.98	  inference(cnf_transformation,[],[f184])).
12.06/2.98	
12.06/2.98	tff(f233,plain,(
12.06/2.98	  same_shape(int,a1,t2tb2(sK6),t2tb(sK8))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f234,plain,(
12.06/2.98	  distinct(int,labels(int,t2tb(sK8)))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f235,plain,(
12.06/2.98	  ~$less(sK7,sK4)),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f236,plain,(
12.06/2.98	  ( ! [X9 : $int] : (~$less(sK7,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK8)))) )),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f237,plain,(
12.06/2.98	  ( ! [X9 : $int] : ($less(sK4,X9) | ~mem(int,t2tb3(X9),labels(int,t2tb(sK8)))) )),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f238,plain,(
12.06/2.98	  distinct(int,labels(int,t2tb(sK10)))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f239,plain,(
12.06/2.98	  ( ! [X8 : $int] : ($less(sK7,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK10)))) )),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f240,plain,(
12.06/2.98	  ( ! [X8 : $int] : (~$less(sK9,X8) | ~mem(int,t2tb3(X8),labels(int,t2tb(sK10)))) )),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f241,plain,(
12.06/2.98	  ~$less(sK9,sK7)),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f242,plain,(
12.06/2.98	  same_shape(int,a1,t2tb2(sK5),t2tb(sK10))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f243,plain,(
12.06/2.98	  ~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8)))) | $less(sK9,sK4) | mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8)))) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f244,plain,(
12.06/2.98	  ~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8)))) | $less(sK9,sK4) | $less(sK9,sK11) | ~$less(sK4,sK11) | ~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))),
12.06/2.98	  inference(cnf_transformation,[],[f191])).
12.06/2.98	
12.06/2.98	tff(f283,plain,(
12.06/2.98	  ( ! [X2 : uni,X3 : uni,X0 : ty,X1 : ty,X4 : uni,X5 : uni] : (same_shape(X1,X0,node(X0,X2,X3),node(X1,X4,X5)) | ~same_shape(X1,X0,X3,X5) | ~same_shape(X1,X0,X2,X4)) )),
12.06/2.98	  inference(cnf_transformation,[],[f165])).
12.06/2.98	
12.06/2.98	tff(f284,plain,(
12.06/2.98	  ( ! [X0 : uni] : (t2tb3(tb2t3(X0)) = X0) )),
12.06/2.98	  inference(cnf_transformation,[],[f126])).
12.06/2.98	
12.06/2.98	tff(f289,plain,(
12.06/2.98	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | mem(X0,sK21(X0,X1,X2),X1) | ~distinct(X0,X2) | ~distinct(X0,X1)) )),
12.06/2.98	  inference(cnf_transformation,[],[f205])).
12.06/2.98	
12.06/2.98	tff(f290,plain,(
12.06/2.98	  ( ! [X2 : uni,X0 : ty,X1 : uni] : (distinct(X0,infix_plpl(X0,X1,X2)) | mem(X0,sK21(X0,X1,X2),X2) | ~distinct(X0,X2) | ~distinct(X0,X1)) )),
12.06/2.98	  inference(cnf_transformation,[],[f205])).
12.06/2.98	
12.06/2.98	tcf(c_60,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
12.06/2.98	    (~$less(X0_int,X1_int)|~$less(X1_int,X2_int)|$less(X0_int,X2_int)),
12.06/2.98	    inference(cnf_transformation,[],[f83])).
12.06/2.98	
12.06/2.98	tcf(c_69,plain,![X0_uni:uni,X0_ty:ty,X1_uni:uni]:  
12.06/2.98	    (infix_plpl(X0_ty,labels(X0_ty,X0_uni),labels(X0_ty,X1_uni)) = labels(X0_ty,node(X0_ty,X0_uni,X1_uni))),
12.06/2.98	    inference(cnf_transformation,[],[f211])).
12.06/2.98	
12.06/2.98	tcf(c_78,plain,![X0_uni:uni,X0_ty:ty,X1_uni:uni,X2_uni:uni]:  
12.06/2.98	    (~mem(X0_ty,X0_uni,labels(X0_ty,node(X0_ty,X1_uni,X2_uni)))|mem(X0_ty,X0_uni,labels(X0_ty,X1_uni))|
12.06/2.98	    mem(X0_ty,X0_uni,labels(X0_ty,X2_uni))),
12.06/2.98	    inference(cnf_transformation,[],[f223])).
12.06/2.98	
12.06/2.98	tcf(c_90,plain, 
12.06/2.98	    (~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))|
12.06/2.98	    ~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|~$less(sK4,sK11)|
12.06/2.98	    $less(sK9,sK4)|$less(sK9,sK11)),
12.06/2.98	    inference(cnf_transformation,[],[f244])).
12.06/2.98	
12.06/2.98	tcf(c_91,plain, 
12.06/2.98	    (~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))|
12.06/2.98	    ~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))|
12.06/2.98	    $less(sK9,sK4)),
12.06/2.98	    inference(cnf_transformation,[],[f243])).
12.06/2.98	
12.06/2.98	tcf(c_92,plain, 
12.06/2.98	    (same_shape(int,a1,t2tb2(sK5),t2tb(sK10))),
12.06/2.98	    inference(cnf_transformation,[],[f242])).
12.06/2.98	
12.06/2.98	tcf(c_93,plain, (~$less(sK9,sK7)),inference(cnf_transformation,[],[f241])).
12.06/2.98	
12.06/2.98	tcf(c_94,plain,![X0_int:$int]:  
12.06/2.98	    (~mem(int,t2tb3(X0_int),labels(int,t2tb(sK10)))|~$less(sK9,X0_int)),
12.06/2.98	    inference(cnf_transformation,[],[f240])).
12.06/2.98	
12.06/2.98	tcf(c_95,plain,![X0_int:$int]:  
12.06/2.98	    (~mem(int,t2tb3(X0_int),labels(int,t2tb(sK10)))|$less(sK7,X0_int)),
12.06/2.98	    inference(cnf_transformation,[],[f239])).
12.06/2.98	
12.06/2.98	tcf(c_96,plain, 
12.06/2.98	    (distinct(int,labels(int,t2tb(sK10)))),
12.06/2.98	    inference(cnf_transformation,[],[f238])).
12.06/2.98	
12.06/2.98	tcf(c_97,plain,![X0_int:$int]:  
12.06/2.98	    (~mem(int,t2tb3(X0_int),labels(int,t2tb(sK8)))|$less(sK4,X0_int)),
12.06/2.98	    inference(cnf_transformation,[],[f237])).
12.06/2.98	
12.06/2.98	tcf(c_98,plain,![X0_int:$int]:  
12.06/2.98	    (~mem(int,t2tb3(X0_int),labels(int,t2tb(sK8)))|~$less(sK7,X0_int)),
12.06/2.98	    inference(cnf_transformation,[],[f236])).
12.06/2.98	
12.06/2.98	tcf(c_99,plain, (~$less(sK7,sK4)),inference(cnf_transformation,[],[f235])).
12.06/2.98	
12.06/2.98	tcf(c_100,plain, 
12.06/2.98	    (distinct(int,labels(int,t2tb(sK8)))),
12.06/2.98	    inference(cnf_transformation,[],[f234])).
12.06/2.98	
12.06/2.98	tcf(c_101,plain, 
12.06/2.98	    (same_shape(int,a1,t2tb2(sK6),t2tb(sK8))),
12.06/2.98	    inference(cnf_transformation,[],[f233])).
12.06/2.98	
12.06/2.98	tcf(c_140,plain,![X0_uni:uni,X0_ty:ty,X1_uni:uni,X1_ty:ty,X2_uni:uni,X3_uni:uni]:  
12.06/2.98	    (~same_shape(X0_ty,X1_ty,X0_uni,X1_uni)|~same_shape(X0_ty,X1_ty,X2_uni,X3_uni)|
12.06/2.98	    same_shape(X0_ty,X1_ty,node(X1_ty,X0_uni,X2_uni),node(X0_ty,X1_uni,X3_uni))),
12.06/2.98	    inference(cnf_transformation,[],[f283])).
12.06/2.98	
12.06/2.98	tcf(c_141,plain,![X0_uni:uni]:  
12.06/2.98	    (t2tb3(tb2t3(X0_uni)) = X0_uni),
12.06/2.98	    inference(cnf_transformation,[],[f284])).
12.06/2.98	
12.06/2.98	tcf(c_145,plain,![X0_uni:uni,X0_ty:ty,X1_uni:uni]:  
12.06/2.98	    (~distinct(X0_ty,X0_uni)|~distinct(X0_ty,X1_uni)|mem(X0_ty,sK21(X0_ty,X1_uni,X0_uni),X0_uni)|
12.06/2.98	    distinct(X0_ty,infix_plpl(X0_ty,X1_uni,X0_uni))),
12.06/2.98	    inference(cnf_transformation,[],[f290])).
12.06/2.98	
12.06/2.98	tcf(c_146,plain,![X0_uni:uni,X0_ty:ty,X1_uni:uni]:  
12.06/2.98	    (~distinct(X0_ty,X0_uni)|~distinct(X0_ty,X1_uni)|mem(X0_ty,sK21(X0_ty,X1_uni,X0_uni),X1_uni)|
12.06/2.98	    distinct(X0_ty,infix_plpl(X0_ty,X1_uni,X0_uni))),
12.06/2.98	    inference(cnf_transformation,[],[f289])).
12.06/2.98	
12.06/2.98	tcf(c_969,plain, 
12.06/2.98	    (~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))|
12.06/2.98	    ~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|~$less(sK4,sK11)|
12.06/2.98	    $less(sK9,sK11)),
12.06/2.98	    inference(backward_subsumption_resolution,[status(thm)],[c_90,c_60])).
12.06/2.98	
12.06/2.98	tcf(c_6410,plain,![X0_uni:uni]:  
12.06/2.98	    (~mem(int,X0_uni,labels(int,t2tb(sK8)))|~$less(sK7,tb2t3(X0_uni))),
12.06/2.98	    inference(superposition,[status(thm)],[c_141,c_98])).
12.06/2.98	
12.06/2.98	tcf(c_6414,plain,![X0_uni:uni]:  
12.06/2.98	    (~mem(int,X0_uni,labels(int,t2tb(sK10)))|$less(sK7,tb2t3(X0_uni))),
12.06/2.98	    inference(superposition,[status(thm)],[c_141,c_95])).
12.06/2.98	
12.06/2.98	tcf(c_8505,plain,![X0_uni:uni,X1_uni:uni]:  
12.06/2.98	    (~same_shape(int,a1,t2tb2(sK6),t2tb(sK8))|~same_shape(int,a1,X0_uni,X1_uni)|
12.06/2.98	    same_shape(int,a1,node(a1,X0_uni,t2tb2(sK6)),node(int,X1_uni,t2tb(sK8)))),
12.06/2.98	    inference(instantiation,[status(thm)],[c_140])).
12.06/2.98	
12.06/2.98	tcf(c_12274,plain, 
12.06/2.98	    (~same_shape(int,a1,t2tb2(sK5),t2tb(sK10))|~same_shape(int,a1,t2tb2(sK6),t2tb(sK8))|
12.06/2.98	    same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))),
12.06/2.98	    inference(instantiation,[status(thm)],[c_8505])).
12.06/2.98	
12.06/2.98	tcf(c_16571,plain,![X0_uni:uni]:  
12.06/2.98	    (~$less(sK7,tb2t3(sK21(int,X0_uni,labels(int,t2tb(sK8)))))|~distinct(int,labels(int,t2tb(sK8)))|
12.06/2.98	    ~distinct(int,X0_uni)|distinct(int,infix_plpl(int,X0_uni,labels(int,t2tb(sK8))))),
12.06/2.98	    inference(superposition,[status(thm)],[c_145,c_6410])).
12.06/2.98	
12.06/2.98	tcf(c_16588,plain,![X0_uni:uni]:  
12.06/2.98	    (~$less(sK7,tb2t3(sK21(int,X0_uni,labels(int,t2tb(sK8)))))|~distinct(int,X0_uni)|
12.06/2.98	    distinct(int,infix_plpl(int,X0_uni,labels(int,t2tb(sK8))))),
12.06/2.98	    inference(forward_subsumption_resolution,[status(thm)],[c_16571,c_100])).
12.06/2.98	
12.06/2.98	tcf(c_16647,plain,![X0_uni:uni]:  
12.06/2.98	    (~distinct(int,labels(int,t2tb(sK10)))|~distinct(int,X0_uni)|$less(sK7,tb2t3(sK21(int,labels(int,t2tb(sK10)),X0_uni)))|
12.06/2.98	    distinct(int,infix_plpl(int,labels(int,t2tb(sK10)),X0_uni))),
12.06/2.98	    inference(superposition,[status(thm)],[c_146,c_6414])).
12.06/2.98	
12.06/2.98	tcf(c_16649,plain,![X0_uni:uni]:  
12.06/2.98	    (~distinct(int,X0_uni)|$less(sK7,tb2t3(sK21(int,labels(int,t2tb(sK10)),X0_uni)))|
12.06/2.98	    distinct(int,infix_plpl(int,labels(int,t2tb(sK10)),X0_uni))),
12.06/2.98	    inference(forward_subsumption_resolution,[status(thm)],[c_16647,c_96])).
12.06/2.98	
12.06/2.98	tcf(c_17547,plain, 
12.06/2.98	    (~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|~same_shape(int,a1,t2tb2(sK5),t2tb(sK10))|
12.06/2.98	    ~same_shape(int,a1,t2tb2(sK6),t2tb(sK8))|~$less(sK4,sK11)|$less(sK9,sK11)),
12.06/2.98	    inference(superposition,[status(thm)],[c_140,c_969])).
12.06/2.98	
12.06/2.98	tcf(c_17548,plain, 
12.06/2.98	    (~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|~same_shape(int,a1,t2tb2(sK5),t2tb(sK10))|
12.06/2.98	    ~same_shape(int,a1,t2tb2(sK6),t2tb(sK8))|mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))|
12.06/2.98	    $less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_140,c_91])).
12.06/2.98	
12.06/2.98	tcf(c_17559,plain, 
12.06/2.98	    (~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|~$less(sK4,sK11)|
12.06/2.98	    $less(sK9,sK11)),
12.06/2.98	    inference(forward_subsumption_resolution,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_17547,c_101,c_92])).
12.06/2.98	
12.06/2.98	tcf(c_17571,plain, 
12.06/2.98	    (~distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))|mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))|
12.06/2.98	    $less(sK9,sK4)),
12.06/2.98	    inference(forward_subsumption_resolution,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_17548,c_101,c_92])).
12.06/2.98	
12.06/2.98	tcf(c_17776,plain, 
12.06/2.98	    (~distinct(int,labels(int,t2tb(sK8)))|~distinct(int,labels(int,t2tb(sK10)))|
12.06/2.98	    distinct(int,infix_plpl(int,labels(int,t2tb(sK10)),labels(int,t2tb(sK8))))),
12.06/2.98	    inference(superposition,[status(thm)],[c_16649,c_16588])).
12.06/2.98	
12.06/2.98	tcf(c_17777,plain, 
12.06/2.98	    (distinct(int,infix_plpl(int,labels(int,t2tb(sK10)),labels(int,t2tb(sK8))))),
12.06/2.98	    inference(forward_subsumption_resolution,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_17776,c_96,c_100])).
12.06/2.98	
12.06/2.98	tcf(c_17820,plain, 
12.06/2.98	    (distinct(int,labels(int,node(int,t2tb(sK10),t2tb(sK8))))),
12.06/2.98	    inference(demodulation,[status(thm)],[c_17777,c_69])).
12.06/2.98	
12.06/2.98	tcf(c_17821,plain, 
12.06/2.98	    (~$less(sK4,sK11)|$less(sK9,sK11)),
12.06/2.98	    inference(backward_subsumption_resolution,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_17559,c_17820])).
12.06/2.98	
12.06/2.98	tcf(c_17822,plain, 
12.06/2.98	    (~same_shape(int,a1,node(a1,t2tb2(sK5),t2tb2(sK6)),node(int,t2tb(sK10),t2tb(sK8)))|
12.06/2.98	    mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))|$less(sK9,sK4)),
12.06/2.98	    inference(backward_subsumption_resolution,[status(thm)],[c_91,c_17820])).
12.06/2.98	
12.06/2.98	tcf(c_17904,plain, 
12.06/2.98	    (mem(int,t2tb3(sK11),labels(int,node(int,t2tb(sK10),t2tb(sK8))))|
12.06/2.98	    $less(sK9,sK4)),
12.06/2.98	    inference(global_subsumption_just,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_17571,c_101,c_92,c_12274,c_17822])).
12.06/2.98	
12.06/2.98	tcf(c_17911,plain, 
12.06/2.98	    (mem(int,t2tb3(sK11),labels(int,t2tb(sK8)))|mem(int,t2tb3(sK11),labels(int,t2tb(sK10)))|
12.06/2.98	    $less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_17904,c_78])).
12.06/2.98	
12.06/2.98	tcf(c_18593,plain, 
12.06/2.98	    (~$less(sK9,sK11)|mem(int,t2tb3(sK11),labels(int,t2tb(sK8)))|$less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_17911,c_94])).
12.06/2.98	
12.06/2.98	tcf(c_18594,plain, 
12.06/2.98	    (mem(int,t2tb3(sK11),labels(int,t2tb(sK8)))|$less(sK7,sK11)|$less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_17911,c_95])).
12.06/2.98	
12.06/2.98	tcf(c_18624,plain, 
12.06/2.98	    ($less(sK4,sK11)|$less(sK7,sK11)|$less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_18594,c_97])).
12.06/2.98	
12.06/2.98	tcf(c_18705,plain, 
12.06/2.98	    (~$less(sK7,sK11)|~$less(sK9,sK11)|$less(sK9,sK4)),
12.06/2.98	    inference(superposition,[status(thm)],[c_18593,c_98])).
12.06/2.98	
12.06/2.98	tcf(c_21461,plain, 
12.06/2.98	    ($false),
12.06/2.98	    inference(smt_impl_just,
12.06/2.98	              [status(thm)],
12.06/2.98	              [c_18705,c_18624,c_17821,c_99,c_93])).
12.06/2.98	
12.06/2.98	
12.06/2.98	% % SZS output end CNFRefutation for theBenchmark.p
12.06/2.98	
12.06/2.98	
12.11/3.09	EOF