0.11/0.11	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.12	% Command  : /export/starexec/sandbox2/solver/bin/run_iprover 120 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
0.12/0.33	% Computer : n005.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 : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Wed Jul 30 16:32:19 EDT 2025
0.12/0.33	% CPUTime  : 
0.18/0.47	Running TFA theorem proving
0.18/0.47	Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s tfa_schedule -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.18/0.47	
0.18/0.47	% ======== iProver multi-core TPTP/SMT =========
0.18/0.47	
0.18/0.48	% Detected problem language: tptp
0.18/0.49	% Checking...
0.46/1.17	% Proving...
31.46/5.45	% SZS status Started for theBenchmark.p
31.46/5.45	% SZS status Theorem for theBenchmark.p
31.46/5.45	
31.46/5.45	%---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------%
31.46/5.45	
31.46/5.45	% ------  iProver source info
31.46/5.45	
31.46/5.45	% git: date: 2025-07-21 10:15:00 +0000
31.46/5.45	% git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f
31.46/5.45	% git: non_committed_changes: true
31.46/5.45	
31.46/5.45	% ------ Parsing...
31.46/5.45	% ------ Clausification by vclausify_rel  & Parsing by iProver...% 
31.46/5.45	% ------ Proving...
31.46/5.45	% ------ Problem Properties 
31.46/5.45	
31.46/5.45	% 
31.46/5.45	% clauses                               75
31.46/5.45	% conjectures                           39
31.46/5.45	% EPR                                   15
31.46/5.45	% Horn                                  53
31.46/5.45	% unary                                 27
31.46/5.45	% binary                                19
31.46/5.45	% lits                                  183
31.46/5.45	% lits eq                               52
31.46/5.45	% fd_pure                               2
31.46/5.45	% fd_pseudo                             0
31.46/5.45	% fd_cond                               0
31.46/5.45	% fd_pseudo_cond                        5
31.46/5.45	% AC symbols                            2
31.46/5.45	
31.46/5.45	% % ------ Input Options Time Limit: Unbounded
31.46/5.45	
31.46/5.45	
31.46/5.45	% % ------ 
31.46/5.45	% Current options:
31.46/5.45	% ------ 
31.46/5.45	
31.46/5.45	
31.46/5.45	% 
31.46/5.45	
31.46/5.45	% ------ Proving...
31.46/5.45	% 
31.46/5.45	
31.46/5.45	% SZS status Theorem for theBenchmark.p
31.46/5.45	
31.46/5.45	% % SZS output start CNFRefutation for theBenchmark.p
31.46/5.45	
31.46/5.45	tff(func_def_0, type, witness1: ty > uni).
31.46/5.45	tff(pred_def_1, type, sort1: (ty * uni) > $o).
31.46/5.45	tff(pred_def_2, type, repr1: (uf_pure1 * $int * $int) > $o).
31.46/5.45	tff(pred_def_3, type, same1: (uf_pure1 * $int * $int) > $o).
31.46/5.45	tff(pred_def_4, type, same_reprs1: (uf_pure1 * uf_pure1) > $o).
31.46/5.45	tff(pred_def_5, type, path1: (graph1 * $int * $int) > $o).
31.46/5.45	tff(func_def_6, type, match_bool1: (ty * bool1 * uni * uni) > uni).
31.46/5.45	tff(func_def_7, type, tuple0: ty).
31.46/5.45	tff(pred_def_8, type, sP0: (graph1 * $int * $int) > $o).
31.46/5.45	tff(pred_def_9, type, sP1: (graph1 * $int * $int) > $o).
31.46/5.45	tff(func_def_10, type, ref: ty > ty).
31.46/5.45	tff(func_def_11, type, mk_ref: (ty * uni) > uni).
31.46/5.45	tff(func_def_12, type, contents: (ty * uni) > uni).
31.46/5.45	tff(func_def_13, type, uf_pure: ty).
31.46/5.45	tff(func_def_14, type, size1: uf_pure1 > $int).
31.46/5.45	tff(func_def_15, type, num1: uf_pure1 > $int).
31.46/5.45	tff(func_def_16, type, uf: ty).
31.46/5.45	tff(func_def_17, type, mk_uf1: uf_pure1 > uf1).
31.46/5.45	tff(func_def_18, type, state1: uf1 > uf_pure1).
31.46/5.45	tff(func_def_19, type, graph: ty).
31.46/5.45	tff(func_def_25, type, sK2: (uf_pure1 * $int * $int) > $int).
31.46/5.45	tff(func_def_26, type, sK3: (graph1 * $int * $int) > graph1).
31.46/5.45	tff(func_def_27, type, sK4: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_28, type, sK5: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_29, type, sK6: (graph1 * $int * $int) > graph1).
31.46/5.45	tff(func_def_30, type, sK7: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_31, type, sK8: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_32, type, sK9: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_33, type, sK10: (graph1 * $int * $int) > graph1).
31.46/5.45	tff(func_def_34, type, sK11: (graph1 * $int * $int) > $int).
31.46/5.45	tff(func_def_35, type, sK12: $int).
31.46/5.45	tff(func_def_36, type, sK13: $int).
31.46/5.45	tff(func_def_37, type, sK14: graph1).
31.46/5.45	tff(func_def_38, type, sK15: uf_pure1).
31.46/5.45	tff(func_def_39, type, sK16: $int).
31.46/5.45	tff(func_def_40, type, sK17: $int).
31.46/5.45	tff(func_def_41, type, sK18: (uf_pure1 * $int) > $int).
31.46/5.45	tff(f2,axiom,(
31.46/5.45	  ! [X1 : uf_pure1,X2 : $int,X3 : $int] : (! [X4 : $int] : (repr1(X1,X2,X4) <=> repr1(X1,X3,X4)) <=> same1(X1,X2,X3))),
31.46/5.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',same_def)).
31.46/5.45	
31.46/5.45	tff(f9,axiom,(
31.46/5.45	  ! [X7 : graph1,X2 : $int] : path1(X7,X2,X2)),
31.46/5.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',path_refl)).
31.46/5.45	
31.46/5.45	tff(f13,conjecture,(
31.46/5.45	  ! [X14 : $int,X15 : $int,X16 : graph1] : ((0 = X15 & ! [X2 : $int,X3 : $int] : (path1(X16,X2,X3) <=> X2 = X3) & $lesseq(1,X14)) => ($lesseq(0,$product(X14,X14)) => ! [X1 : uf_pure1] : (($product(X14,X14) = size1(X1) & ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,$product(X14,X14))) => repr1(X1,X2,X2)) & num1(X1) = $product(X14,X14)) => (! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($lesseq(0,X3) & $less(X3,$product(X14,X14))) => (same1(X1,X2,X3) => (X2 = X3 & repr1(X1,X2,X2) & repr1(X1,X2,X3))))) => ($lesseq(1,num1(X1)) & ! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($less(X3,$product(X14,X14)) & $lesseq(0,X3)) => (same1(X1,X2,X3) <=> path1(X16,X2,X3)))) & $product(X14,X14) = size1(X1) & size1(X1) = $sum(num1(X1),X15))))))),
31.46/5.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wP_parameter_build_maze)).
31.46/5.45	
31.46/5.45	tff(f14,negated_conjecture,(
31.46/5.45	  ~! [X14 : $int,X15 : $int,X16 : graph1] : ((0 = X15 & ! [X2 : $int,X3 : $int] : (path1(X16,X2,X3) <=> X2 = X3) & $lesseq(1,X14)) => ($lesseq(0,$product(X14,X14)) => ! [X1 : uf_pure1] : (($product(X14,X14) = size1(X1) & ! [X2 : $int] : (($lesseq(0,X2) & $less(X2,$product(X14,X14))) => repr1(X1,X2,X2)) & num1(X1) = $product(X14,X14)) => (! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($lesseq(0,X3) & $less(X3,$product(X14,X14))) => (same1(X1,X2,X3) => (X2 = X3 & repr1(X1,X2,X2) & repr1(X1,X2,X3))))) => ($lesseq(1,num1(X1)) & ! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & $lesseq(0,X2)) => (($less(X3,$product(X14,X14)) & $lesseq(0,X3)) => (same1(X1,X2,X3) <=> path1(X16,X2,X3)))) & $product(X14,X14) = size1(X1) & size1(X1) = $sum(num1(X1),X15))))))),
31.46/5.45	inference(negated_conjecture,[status(cth)],[f13])).
31.46/5.45	
31.46/5.45	tff(f21,axiom,(
31.46/5.45	  ! [X14 : $int,X2 : $int,X3 : $int] : ($lesseq(0,X14) => (($lesseq(0,X2) & $less(X2,X14)) => (($lesseq(0,X3) & $less(X3,X14)) => ($lesseq(0,$sum($product(X2,X14),X3)) & $less($sum($product(X2,X14),X3),$product(X14,X14))))))),
31.46/5.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ineq1)).
31.46/5.45	
31.46/5.45	tff(f22,axiom,(
31.46/5.45	  ! [X2 : $int,X3 : $int,X8 : $int] : ($lesseq(X2,X3) => ($lesseq(0,X8) => $lesseq($product(X2,X8),$product(X3,X8))))),
31.46/5.45	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatOrderMult)).
31.46/5.45	
31.46/5.45	tff(f27,plain,(
31.46/5.45	  ~! [X14 : $int,X15 : $int,X16 : graph1] : ((0 = X15 & ! [X2 : $int,X3 : $int] : (path1(X16,X2,X3) <=> X2 = X3) & ~$less(X14,1)) => (~$less($product(X14,X14),0) => ! [X1 : uf_pure1] : (($product(X14,X14) = size1(X1) & ! [X2 : $int] : ((~$less(X2,0) & $less(X2,$product(X14,X14))) => repr1(X1,X2,X2)) & num1(X1) = $product(X14,X14)) => (! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & ~$less(X2,0)) => ((~$less(X3,0) & $less(X3,$product(X14,X14))) => (same1(X1,X2,X3) => (X2 = X3 & repr1(X1,X2,X2) & repr1(X1,X2,X3))))) => (~$less(num1(X1),1) & ! [X2 : $int,X3 : $int] : (($less(X2,$product(X14,X14)) & ~$less(X2,0)) => (($less(X3,$product(X14,X14)) & ~$less(X3,0)) => (same1(X1,X2,X3) <=> path1(X16,X2,X3)))) & $product(X14,X14) = size1(X1) & size1(X1) = $sum(num1(X1),X15))))))),
31.46/5.45	  inference(theory_normalization,[],[f14])).
31.46/5.45	
31.46/5.45	tff(f30,plain,(
31.46/5.45	  ! [X14 : $int,X2 : $int,X3 : $int] : (~$less(X14,0) => ((~$less(X2,0) & $less(X2,X14)) => ((~$less(X3,0) & $less(X3,X14)) => (~$less($sum($product(X2,X14),X3),0) & $less($sum($product(X2,X14),X3),$product(X14,X14))))))),
31.46/5.45	  inference(theory_normalization,[],[f21])).
31.46/5.45	
31.46/5.45	tff(f31,plain,(
31.46/5.45	  ! [X2 : $int,X3 : $int,X8 : $int] : (~$less(X3,X2) => (~$less(X8,0) => ~$less($product(X3,X8),$product(X2,X8))))),
31.46/5.45	  inference(theory_normalization,[],[f22])).
31.46/5.45	
31.46/5.45	tff(f33,plain,(
31.46/5.45	  ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
31.46/5.45	  introduced(theory_axiom_138,[])).
31.46/5.45	
31.46/5.45	tff(f35,plain,(
31.46/5.45	  ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
31.46/5.45	  introduced(theory_axiom_140,[])).
31.46/5.45	
31.46/5.45	tff(f38,plain,(
31.46/5.45	  ( ! [X0 : $int] : (~$less(X0,X0)) )),
31.46/5.45	  introduced(theory_axiom_145,[])).
31.46/5.45	
31.46/5.45	tff(f39,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
31.46/5.45	  introduced(theory_axiom_146,[])).
31.46/5.45	
31.46/5.45	tff(f40,plain,(
31.46/5.45	  ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
31.46/5.45	  introduced(theory_axiom_147,[])).
31.46/5.45	
31.46/5.45	tff(f41,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
31.46/5.45	  introduced(theory_axiom_148,[])).
31.46/5.45	
31.46/5.45	tff(f42,plain,(
31.46/5.45	  ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )),
31.46/5.45	  introduced(theory_axiom_150,[])).
31.46/5.45	
31.46/5.45	tff(f44,plain,(
31.46/5.45	  ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )),
31.46/5.45	  introduced(theory_axiom_138,[])).
31.46/5.45	
31.46/5.45	tff(f46,plain,(
31.46/5.45	  ( ! [X0 : $int] : ($product(X0,1) = X0) )),
31.46/5.45	  introduced(theory_axiom_140,[])).
31.46/5.45	
31.46/5.45	tff(f47,plain,(
31.46/5.45	  ( ! [X0 : $int] : (0 = $product(X0,0)) )),
31.46/5.45	  introduced(theory_axiom_152,[])).
31.46/5.45	
31.46/5.45	tff(f48,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$sum(X1,X2)) = $sum($product(X0,X1),$product(X0,X2))) )),
31.46/5.45	  introduced(theory_axiom_153,[])).
31.46/5.45	
31.46/5.45	tff(f50,plain,(
31.46/5.45	  ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
31.46/5.45	  introduced(theory_axiom_164,[])).
31.46/5.45	
31.46/5.45	tff(f51,plain,(
31.46/5.45	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (! [X3 : $int] : (repr1(X0,X1,X3) <=> repr1(X0,X2,X3)) <=> same1(X0,X1,X2))),
31.46/5.45	  inference(rectify,[],[f2])).
31.46/5.45	
31.46/5.45	tff(f57,plain,(
31.46/5.45	  ! [X0 : graph1,X1 : $int] : path1(X0,X1,X1)),
31.46/5.45	  inference(rectify,[],[f9])).
31.46/5.45	
31.46/5.45	tff(f60,plain,(
31.46/5.45	  ~! [X0 : $int,X1 : $int,X2 : graph1] : ((0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4) & ~$less(X0,1)) => (~$less($product(X0,X0),0) => ! [X5 : uf_pure1] : (($product(X0,X0) = size1(X5) & ! [X6 : $int] : ((~$less(X6,0) & $less(X6,$product(X0,X0))) => repr1(X5,X6,X6)) & $product(X0,X0) = num1(X5)) => (! [X7 : $int,X8 : $int] : (($less(X7,$product(X0,X0)) & ~$less(X7,0)) => ((~$less(X8,0) & $less(X8,$product(X0,X0))) => (same1(X5,X7,X8) => (X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8))))) => (~$less(num1(X5),1) & ! [X9 : $int,X10 : $int] : (($less(X9,$product(X0,X0)) & ~$less(X9,0)) => (($less(X10,$product(X0,X0)) & ~$less(X10,0)) => (same1(X5,X9,X10) <=> path1(X2,X9,X10)))) & $product(X0,X0) = size1(X5) & size1(X5) = $sum(num1(X5),X1))))))),
31.46/5.45	  inference(rectify,[],[f27])).
31.46/5.45	
31.46/5.45	tff(f66,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X0,0) => ((~$less(X1,0) & $less(X1,X0)) => ((~$less(X2,0) & $less(X2,X0)) => (~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))))))),
31.46/5.45	  inference(rectify,[],[f30])).
31.46/5.45	
31.46/5.45	tff(f67,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less(X1,X0) => (~$less(X2,0) => ~$less($product(X1,X2),$product(X0,X2))))),
31.46/5.45	  inference(rectify,[],[f31])).
31.46/5.45	
31.46/5.45	tff(f77,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : ((? [X5 : uf_pure1] : ((($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : (((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & ($less(X10,$product(X0,X0)) & ~$less(X10,0))) & ($less(X9,$product(X0,X0)) & ~$less(X9,0))) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8)) | ($less(X8,0) | ~$less(X8,$product(X0,X0)))) | (~$less(X7,$product(X0,X0)) | $less(X7,0)))) & ($product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | ($less(X6,0) | ~$less(X6,$product(X0,X0)))) & $product(X0,X0) = num1(X5))) & ~$less($product(X0,X0),0)) & (0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4) & ~$less(X0,1)))),
31.46/5.45	  inference(ennf_transformation,[],[f60])).
31.46/5.45	
31.46/5.45	tff(f78,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : ((same1(X5,X9,X10) <~> path1(X2,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | $less(X8,0) | ~$less(X8,$product(X0,X0)) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & 0 = X1 & ! [X3 : $int,X4 : $int] : (path1(X2,X3,X4) <=> X3 = X4) & ~$less(X0,1))),
31.46/5.45	  inference(flattening,[],[f77])).
31.46/5.45	
31.46/5.45	tff(f86,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : ((((~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))) | ($less(X2,0) | ~$less(X2,X0))) | ($less(X1,0) | ~$less(X1,X0))) | $less(X0,0))),
31.46/5.45	  inference(ennf_transformation,[],[f66])).
31.46/5.45	
31.46/5.45	tff(f87,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($sum($product(X1,X0),X2),0) & $less($sum($product(X1,X0),X2),$product(X0,X0))) | $less(X2,0) | ~$less(X2,X0) | $less(X1,0) | ~$less(X1,X0) | $less(X0,0))),
31.46/5.45	  inference(flattening,[],[f86])).
31.46/5.45	
31.46/5.45	tff(f88,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : ((~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0)) | $less(X1,X0))),
31.46/5.45	  inference(ennf_transformation,[],[f67])).
31.46/5.45	
31.46/5.45	tff(f89,plain,(
31.46/5.45	  ! [X0 : $int,X1 : $int,X2 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0))),
31.46/5.45	  inference(flattening,[],[f88])).
31.46/5.45	
31.46/5.45	tff(f96,plain,(
31.46/5.45	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((! [X3 : $int] : ((repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X2,X3) | ~repr1(X0,X1,X3))) | ~same1(X0,X1,X2)) & (same1(X0,X1,X2) | ? [X3 : $int] : ((~repr1(X0,X2,X3) | ~repr1(X0,X1,X3)) & (repr1(X0,X2,X3) | repr1(X0,X1,X3)))))),
31.46/5.45	  inference(nnf_transformation,[],[f51])).
31.46/5.45	
31.46/5.45	tff(f97,plain,(
31.46/5.45	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((! [X3 : $int] : ((repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X2,X3) | ~repr1(X0,X1,X3))) | ~same1(X0,X1,X2)) & (same1(X0,X1,X2) | ? [X4 : $int] : ((~repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X2,X4) | repr1(X0,X1,X4)))))),
31.46/5.45	  inference(rectify,[],[f96])).
31.46/5.45	
31.46/5.45	tff(f98,plain,(
31.46/5.45	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : (? [X4 : $int] : ((~repr1(X0,X2,X4) | ~repr1(X0,X1,X4)) & (repr1(X0,X2,X4) | repr1(X0,X1,X4))) => ((~repr1(X0,X2,sK2(X0,X1,X2)) | ~repr1(X0,X1,sK2(X0,X1,X2))) & (repr1(X0,X2,sK2(X0,X1,X2)) | repr1(X0,X1,sK2(X0,X1,X2)))))),
31.46/5.45	  introduced(choice_axiom,[])).
31.46/5.45	
31.46/5.45	tff(f99,plain,(
31.46/5.45	  ! [X0 : uf_pure1,X1 : $int,X2 : $int] : ((! [X3 : $int] : ((repr1(X0,X1,X3) | ~repr1(X0,X2,X3)) & (repr1(X0,X2,X3) | ~repr1(X0,X1,X3))) | ~same1(X0,X1,X2)) & (same1(X0,X1,X2) | ((~repr1(X0,X2,sK2(X0,X1,X2)) | ~repr1(X0,X1,sK2(X0,X1,X2))) & (repr1(X0,X2,sK2(X0,X1,X2)) | repr1(X0,X1,sK2(X0,X1,X2))))))),
31.46/5.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f97,f98])).
31.46/5.45	
31.46/5.45	tff(f110,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : (((~path1(X2,X9,X10) | ~same1(X5,X9,X10)) & (path1(X2,X9,X10) | same1(X5,X9,X10))) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | $less(X8,0) | ~$less(X8,$product(X0,X0)) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))) & ~$less(X0,1))),
31.46/5.45	  inference(nnf_transformation,[],[f78])).
31.46/5.45	
31.46/5.45	tff(f111,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X5 : uf_pure1] : (($less(num1(X5),1) | ? [X9 : $int,X10 : $int] : ((~path1(X2,X9,X10) | ~same1(X5,X9,X10)) & (path1(X2,X9,X10) | same1(X5,X9,X10)) & $less(X10,$product(X0,X0)) & ~$less(X10,0) & $less(X9,$product(X0,X0)) & ~$less(X9,0)) | $product(X0,X0) != size1(X5) | size1(X5) != $sum(num1(X5),X1)) & ! [X7 : $int,X8 : $int] : ((X7 = X8 & repr1(X5,X7,X7) & repr1(X5,X7,X8)) | ~same1(X5,X7,X8) | $less(X8,0) | ~$less(X8,$product(X0,X0)) | ~$less(X7,$product(X0,X0)) | $less(X7,0)) & $product(X0,X0) = size1(X5) & ! [X6 : $int] : (repr1(X5,X6,X6) | $less(X6,0) | ~$less(X6,$product(X0,X0))) & $product(X0,X0) = num1(X5)) & ~$less($product(X0,X0),0) & 0 = X1 & ! [X3 : $int,X4 : $int] : ((path1(X2,X3,X4) | X3 != X4) & (X3 = X4 | ~path1(X2,X3,X4))) & ~$less(X0,1))),
31.46/5.45	  inference(flattening,[],[f110])).
31.46/5.45	
31.46/5.45	tff(f112,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : (($less(num1(X3),1) | ? [X4 : $int,X5 : $int] : ((~path1(X2,X4,X5) | ~same1(X3,X4,X5)) & (path1(X2,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | $product(X0,X0) != size1(X3) | size1(X3) != $sum(num1(X3),X1)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | $less(X7,0) | ~$less(X7,$product(X0,X0)) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X3) & ! [X8 : $int] : (repr1(X3,X8,X8) | $less(X8,0) | ~$less(X8,$product(X0,X0))) & $product(X0,X0) = num1(X3)) & ~$less($product(X0,X0),0) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10))) & ~$less(X0,1))),
31.46/5.45	  inference(rectify,[],[f111])).
31.46/5.45	
31.46/5.45	tff(f113,plain,(
31.46/5.45	  ? [X0 : $int,X1 : $int,X2 : graph1] : (? [X3 : uf_pure1] : (($less(num1(X3),1) | ? [X4 : $int,X5 : $int] : ((~path1(X2,X4,X5) | ~same1(X3,X4,X5)) & (path1(X2,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(X0,X0)) & ~$less(X5,0) & $less(X4,$product(X0,X0)) & ~$less(X4,0)) | $product(X0,X0) != size1(X3) | size1(X3) != $sum(num1(X3),X1)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | $less(X7,0) | ~$less(X7,$product(X0,X0)) | ~$less(X6,$product(X0,X0)) | $less(X6,0)) & $product(X0,X0) = size1(X3) & ! [X8 : $int] : (repr1(X3,X8,X8) | $less(X8,0) | ~$less(X8,$product(X0,X0))) & $product(X0,X0) = num1(X3)) & ~$less($product(X0,X0),0) & 0 = X1 & ! [X9 : $int,X10 : $int] : ((path1(X2,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(X2,X9,X10))) & ~$less(X0,1)) => (? [X3 : uf_pure1] : (($less(num1(X3),1) | ? [X5 : $int,X4 : $int] : ((~path1(sK14,X4,X5) | ~same1(X3,X4,X5)) & (path1(sK14,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(sK12,sK12)) & ~$less(X5,0) & $less(X4,$product(sK12,sK12)) & ~$less(X4,0)) | size1(X3) != $product(sK12,sK12) | size1(X3) != $sum(num1(X3),sK13)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | $less(X7,0) | ~$less(X7,$product(sK12,sK12)) | ~$less(X6,$product(sK12,sK12)) | $less(X6,0)) & size1(X3) = $product(sK12,sK12) & ! [X8 : $int] : (repr1(X3,X8,X8) | $less(X8,0) | ~$less(X8,$product(sK12,sK12))) & num1(X3) = $product(sK12,sK12)) & ~$less($product(sK12,sK12),0) & 0 = sK13 & ! [X10 : $int,X9 : $int] : ((path1(sK14,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK14,X9,X10))) & ~$less(sK12,1))),
31.46/5.45	  introduced(choice_axiom,[])).
31.46/5.45	
31.46/5.45	tff(f114,plain,(
31.46/5.45	  ? [X3 : uf_pure1] : (($less(num1(X3),1) | ? [X5 : $int,X4 : $int] : ((~path1(sK14,X4,X5) | ~same1(X3,X4,X5)) & (path1(sK14,X4,X5) | same1(X3,X4,X5)) & $less(X5,$product(sK12,sK12)) & ~$less(X5,0) & $less(X4,$product(sK12,sK12)) & ~$less(X4,0)) | size1(X3) != $product(sK12,sK12) | size1(X3) != $sum(num1(X3),sK13)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(X3,X6,X6) & repr1(X3,X6,X7)) | ~same1(X3,X6,X7) | $less(X7,0) | ~$less(X7,$product(sK12,sK12)) | ~$less(X6,$product(sK12,sK12)) | $less(X6,0)) & size1(X3) = $product(sK12,sK12) & ! [X8 : $int] : (repr1(X3,X8,X8) | $less(X8,0) | ~$less(X8,$product(sK12,sK12))) & num1(X3) = $product(sK12,sK12)) => (($less(num1(sK15),1) | ? [X5 : $int,X4 : $int] : ((~path1(sK14,X4,X5) | ~same1(sK15,X4,X5)) & (path1(sK14,X4,X5) | same1(sK15,X4,X5)) & $less(X5,$product(sK12,sK12)) & ~$less(X5,0) & $less(X4,$product(sK12,sK12)) & ~$less(X4,0)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)) & ! [X7 : $int,X6 : $int] : ((X6 = X7 & repr1(sK15,X6,X6) & repr1(sK15,X6,X7)) | ~same1(sK15,X6,X7) | $less(X7,0) | ~$less(X7,$product(sK12,sK12)) | ~$less(X6,$product(sK12,sK12)) | $less(X6,0)) & $product(sK12,sK12) = size1(sK15) & ! [X8 : $int] : (repr1(sK15,X8,X8) | $less(X8,0) | ~$less(X8,$product(sK12,sK12))) & $product(sK12,sK12) = num1(sK15))),
31.46/5.45	  introduced(choice_axiom,[])).
31.46/5.45	
31.46/5.45	tff(f115,plain,(
31.46/5.45	  ? [X5 : $int,X4 : $int] : ((~path1(sK14,X4,X5) | ~same1(sK15,X4,X5)) & (path1(sK14,X4,X5) | same1(sK15,X4,X5)) & $less(X5,$product(sK12,sK12)) & ~$less(X5,0) & $less(X4,$product(sK12,sK12)) & ~$less(X4,0)) => ((~path1(sK14,sK16,sK17) | ~same1(sK15,sK16,sK17)) & (path1(sK14,sK16,sK17) | same1(sK15,sK16,sK17)) & $less(sK17,$product(sK12,sK12)) & ~$less(sK17,0) & $less(sK16,$product(sK12,sK12)) & ~$less(sK16,0))),
31.46/5.45	  introduced(choice_axiom,[])).
31.46/5.45	
31.46/5.45	tff(f116,plain,(
31.46/5.45	  (($less(num1(sK15),1) | ((~path1(sK14,sK16,sK17) | ~same1(sK15,sK16,sK17)) & (path1(sK14,sK16,sK17) | same1(sK15,sK16,sK17)) & $less(sK17,$product(sK12,sK12)) & ~$less(sK17,0) & $less(sK16,$product(sK12,sK12)) & ~$less(sK16,0)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)) & ! [X6 : $int,X7 : $int] : ((X6 = X7 & repr1(sK15,X6,X6) & repr1(sK15,X6,X7)) | ~same1(sK15,X6,X7) | $less(X7,0) | ~$less(X7,$product(sK12,sK12)) | ~$less(X6,$product(sK12,sK12)) | $less(X6,0)) & $product(sK12,sK12) = size1(sK15) & ! [X8 : $int] : (repr1(sK15,X8,X8) | $less(X8,0) | ~$less(X8,$product(sK12,sK12))) & $product(sK12,sK12) = num1(sK15)) & ~$less($product(sK12,sK12),0) & 0 = sK13 & ! [X9 : $int,X10 : $int] : ((path1(sK14,X9,X10) | X9 != X10) & (X9 = X10 | ~path1(sK14,X9,X10))) & ~$less(sK12,1)),
31.46/5.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16,sK17])],[f112,f115,f114,f113])).
31.46/5.45	
31.46/5.45	tff(f120,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | repr1(X0,X2,sK2(X0,X1,X2)) | repr1(X0,X1,sK2(X0,X1,X2))) )),
31.46/5.45	  inference(cnf_transformation,[],[f99])).
31.46/5.45	
31.46/5.45	tff(f121,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : uf_pure1,X1 : $int] : (same1(X0,X1,X2) | ~repr1(X0,X2,sK2(X0,X1,X2)) | ~repr1(X0,X1,sK2(X0,X1,X2))) )),
31.46/5.45	  inference(cnf_transformation,[],[f99])).
31.46/5.45	
31.46/5.45	tff(f141,plain,(
31.46/5.45	  ( ! [X0 : graph1,X1 : $int] : (path1(X0,X1,X1)) )),
31.46/5.45	  inference(cnf_transformation,[],[f57])).
31.46/5.45	
31.46/5.45	tff(f144,plain,(
31.46/5.45	  ~$less(sK12,1)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f145,plain,(
31.46/5.45	  ( ! [X10 : $int,X9 : $int] : (X9 = X10 | ~path1(sK14,X9,X10)) )),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f147,plain,(
31.46/5.45	  0 = sK13),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f149,plain,(
31.46/5.45	  $product(sK12,sK12) = num1(sK15)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f151,plain,(
31.46/5.45	  $product(sK12,sK12) = size1(sK15)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f154,plain,(
31.46/5.45	  ( ! [X6 : $int,X7 : $int] : (X6 = X7 | ~same1(sK15,X6,X7) | $less(X7,0) | ~$less(X7,$product(sK12,sK12)) | ~$less(X6,$product(sK12,sK12)) | $less(X6,0)) )),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f155,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~$less(sK16,0) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f156,plain,(
31.46/5.45	  $less(num1(sK15),1) | $less(sK16,$product(sK12,sK12)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f157,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~$less(sK17,0) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f158,plain,(
31.46/5.45	  $less(num1(sK15),1) | $less(sK17,$product(sK12,sK12)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f159,plain,(
31.46/5.45	  $less(num1(sK15),1) | path1(sK14,sK16,sK17) | same1(sK15,sK16,sK17) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f160,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~path1(sK14,sK16,sK17) | ~same1(sK15,sK16,sK17) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),sK13)),
31.46/5.45	  inference(cnf_transformation,[],[f116])).
31.46/5.45	
31.46/5.45	tff(f169,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : $int,X1 : $int] : ($less($sum($product(X1,X0),X2),$product(X0,X0)) | $less(X2,0) | ~$less(X2,X0) | $less(X1,0) | ~$less(X1,X0) | $less(X0,0)) )),
31.46/5.45	  inference(cnf_transformation,[],[f87])).
31.46/5.45	
31.46/5.45	tff(f171,plain,(
31.46/5.45	  ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less($product(X1,X2),$product(X0,X2)) | $less(X2,0) | $less(X1,X0)) )),
31.46/5.45	  inference(cnf_transformation,[],[f89])).
31.46/5.45	
31.46/5.45	tff(f176,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~path1(sK14,sK16,sK17) | ~same1(sK15,sK16,sK17) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f160,f147])).
31.46/5.45	
31.46/5.45	tff(f177,plain,(
31.46/5.45	  $less(num1(sK15),1) | path1(sK14,sK16,sK17) | same1(sK15,sK16,sK17) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f159,f147])).
31.46/5.45	
31.46/5.45	tff(f178,plain,(
31.46/5.45	  $less(num1(sK15),1) | $less(sK17,$product(sK12,sK12)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f158,f147])).
31.46/5.45	
31.46/5.45	tff(f179,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~$less(sK17,0) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f157,f147])).
31.46/5.45	
31.46/5.45	tff(f180,plain,(
31.46/5.45	  $less(num1(sK15),1) | $less(sK16,$product(sK12,sK12)) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f156,f147])).
31.46/5.45	
31.46/5.45	tff(f181,plain,(
31.46/5.45	  $less(num1(sK15),1) | ~$less(sK16,0) | $product(sK12,sK12) != size1(sK15) | size1(sK15) != $sum(num1(sK15),0)),
31.46/5.45	  inference(definition_unfolding,[],[f155,f147])).
31.46/5.45	
31.46/5.45	tcf(c_49,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,$sum(X1_int,1))|~$less(X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f50])).
31.46/5.45	
31.46/5.45	tcf(c_51,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    ($sum($product(X0_int,X1_int),$product(X0_int,X2_int)) = $product(X0_int,$sum(X1_int,X2_int))),
31.46/5.45	    inference(cnf_transformation,[],[f48])).
31.46/5.45	
31.46/5.45	tcf(c_52,plain,![X0_int:$int]:  
31.46/5.45	    ($product(X0_int,0) = 0),
31.46/5.45	    inference(cnf_transformation,[],[f47])).
31.46/5.45	
31.46/5.45	tcf(c_53,plain,![X0_int:$int]:  
31.46/5.45	    ($product(X0_int,1) = X0_int),
31.46/5.45	    inference(cnf_transformation,[],[f46])).
31.46/5.45	
31.46/5.45	tcf(c_55,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    ($product(X0_int,X1_int) = $product(X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f44])).
31.46/5.45	
31.46/5.45	tcf(c_57,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    ($less(X0_int,$sum(X1_int,1))|$less(X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f42])).
31.46/5.45	
31.46/5.45	tcf(c_58,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|$less($sum(X0_int,X2_int),$sum(X1_int,X2_int))),
31.46/5.45	    inference(cnf_transformation,[],[f41])).
31.46/5.45	
31.46/5.45	tcf(c_59,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (X0_int = X1_int|$less(X0_int,X1_int)|$less(X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f40])).
31.46/5.45	
31.46/5.45	tcf(c_60,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|~$less(X1_int,X2_int)|$less(X0_int,X2_int)),
31.46/5.45	    inference(cnf_transformation,[],[f39])).
31.46/5.45	
31.46/5.45	tcf(c_61,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(X0_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f38])).
31.46/5.45	
31.46/5.45	tcf(c_64,plain,![X0_int:$int]:  
31.46/5.45	    ($sum(X0_int,0) = X0_int),
31.46/5.45	    inference(cnf_transformation,[],[f35])).
31.46/5.45	
31.46/5.45	tcf(c_66,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    ($sum(X0_int,X1_int) = $sum(X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f33])).
31.46/5.45	
31.46/5.45	tcf(c_70,plain,![X0_int:$int,X0_uf_pure1:uf_pure1,X1_int:$int]:  
31.46/5.45	    (~repr1(X0_uf_pure1,X0_int,sK2(X0_uf_pure1,X1_int,X0_int))|~repr1(X0_uf_pure1,X1_int,sK2(X0_uf_pure1,X1_int,X0_int))|
31.46/5.45	    same1(X0_uf_pure1,X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f121])).
31.46/5.45	
31.46/5.45	tcf(c_71,plain,![X0_int:$int,X0_uf_pure1:uf_pure1,X1_int:$int]:  
31.46/5.45	    (repr1(X0_uf_pure1,X0_int,sK2(X0_uf_pure1,X1_int,X0_int))|repr1(X0_uf_pure1,X1_int,sK2(X0_uf_pure1,X1_int,X0_int))|
31.46/5.45	    same1(X0_uf_pure1,X1_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f120])).
31.46/5.45	
31.46/5.45	tcf(c_89,plain,![X0_int:$int,X0_graph1:graph1]:  
31.46/5.45	    (path1(X0_graph1,X0_int,X0_int)),
31.46/5.45	    inference(cnf_transformation,[],[f141])).
31.46/5.45	
31.46/5.45	tcf(c_92,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    ~same1(sK15,sK16,sK17)|~path1(sK14,sK16,sK17)|$less(num1(sK15),1)),
31.46/5.45	    inference(cnf_transformation,[],[f176])).
31.46/5.45	
31.46/5.45	tcf(c_93,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    $less(num1(sK15),1)|same1(sK15,sK16,sK17)|path1(sK14,sK16,sK17)),
31.46/5.45	    inference(cnf_transformation,[],[f177])).
31.46/5.45	
31.46/5.45	tcf(c_94,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    $less(sK17,$product(sK12,sK12))|$less(num1(sK15),1)),
31.46/5.45	    inference(cnf_transformation,[],[f178])).
31.46/5.45	
31.46/5.45	tcf(c_95,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    ~$less(sK17,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(cnf_transformation,[],[f179])).
31.46/5.45	
31.46/5.45	tcf(c_96,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    $less(sK16,$product(sK12,sK12))|$less(num1(sK15),1)),
31.46/5.45	    inference(cnf_transformation,[],[f180])).
31.46/5.45	
31.46/5.45	tcf(c_97,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$product(sK12,sK12) != size1(sK15)|
31.46/5.45	    ~$less(sK16,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(cnf_transformation,[],[f181])).
31.46/5.45	
31.46/5.45	tcf(c_98,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,$product(sK12,sK12))|~$less(X1_int,$product(sK12,sK12))|
31.46/5.45	    ~same1(sK15,X0_int,X1_int)|X0_int = X1_int|$less(X0_int,0)|$less(X1_int,0)),
31.46/5.45	    inference(cnf_transformation,[],[f154])).
31.46/5.45	
31.46/5.45	tcf(c_101,plain, 
31.46/5.45	    ($product(sK12,sK12) = size1(sK15)),
31.46/5.45	    inference(cnf_transformation,[],[f151])).
31.46/5.45	
31.46/5.45	tcf(c_103,plain, 
31.46/5.45	    ($product(sK12,sK12) = num1(sK15)),
31.46/5.45	    inference(cnf_transformation,[],[f149])).
31.46/5.45	
31.46/5.45	tcf(c_106,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~path1(sK14,X0_int,X1_int)|X0_int = X1_int),
31.46/5.45	    inference(cnf_transformation,[],[f145])).
31.46/5.45	
31.46/5.45	tcf(c_107,plain, (~$less(sK12,1)),inference(cnf_transformation,[],[f144])).
31.46/5.45	
31.46/5.45	tcf(c_117,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|~$less(X2_int,X1_int)|$less($sum($product(X2_int,X1_int),X0_int),$product(X1_int,X1_int))|
31.46/5.45	    $less(X0_int,0)|$less(X1_int,0)|$less(X2_int,0)),
31.46/5.45	    inference(cnf_transformation,[],[f169])).
31.46/5.45	
31.46/5.45	tcf(c_118,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less($product(X0_int,X1_int),$product(X2_int,X1_int))|$less(X0_int,X2_int)|
31.46/5.45	    $less(X1_int,0)),
31.46/5.45	    inference(cnf_transformation,[],[f171])).
31.46/5.45	
31.46/5.45	tcf(c_123,plain, ($less(0,1)),theory(arith)).
31.46/5.45	
31.46/5.45	tcf(c_125,plain,![X0_int:$int]:  (X0_int = X0_int),theory(equality)).
31.46/5.45	
31.46/5.45	tcf(c_131,plain,![X0_graph1:graph1]:  
31.46/5.45	    (X0_graph1 = X0_graph1),
31.46/5.45	    theory(equality)).
31.46/5.45	
31.46/5.45	tcf(c_142,plain,![X0_int:$int,X1_int:$int,X2_int:$int,X3_int:$int]:  
31.46/5.45	    (X0_int != X1_int|X2_int != X3_int|~$less(X1_int,X3_int)|$less(X0_int,X2_int)),
31.46/5.45	    theory(equality)).
31.46/5.45	
31.46/5.45	tcf(c_153,plain,![X0_int:$int,X0_graph1:graph1,X1_int:$int,X1_graph1:graph1,X2_int:$int,X3_int:$int]:  
31.46/5.45	    (X0_int != X1_int|X0_graph1 != X1_graph1|X2_int != X3_int|~path1(X1_graph1,X1_int,X3_int)|
31.46/5.45	    path1(X0_graph1,X0_int,X2_int)),
31.46/5.45	    theory(equality)).
31.46/5.45	
31.46/5.45	tcf(c_155,plain, 
31.46/5.45	    (sK12 = sK12),
31.46/5.45	    inference(instantiation,[status(thm)],[c_125])).
31.46/5.45	
31.46/5.45	tcf(c_161,plain, 
31.46/5.45	    (sK14 = sK14),
31.46/5.45	    inference(instantiation,[status(thm)],[c_131])).
31.46/5.45	
31.46/5.45	tcf(c_164,plain, 
31.46/5.45	    (~$less(sK12,sK12)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_61])).
31.46/5.45	
31.46/5.45	tcf(c_177,plain, 
31.46/5.45	    ($product(sK12,sK12) = $product(sK12,sK12)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_55])).
31.46/5.45	
31.46/5.45	tcf(c_200,plain, 
31.46/5.45	    (~$less($product(sK12,sK12),$product(sK12,sK12))|$less(sK12,sK12)|
31.46/5.45	    $less(sK12,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_118])).
31.46/5.45	
31.46/5.45	tcf(c_217,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != X0_int|X1_int != X2_int|~$less(X2_int,X0_int)|
31.46/5.45	    $less(X1_int,$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_142])).
31.46/5.45	
31.46/5.45	tcf(c_218,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,$product(sK12,sK12))|~$less(X1_int,X0_int)|$less(X1_int,$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_60])).
31.46/5.45	
31.46/5.45	tcf(c_243,plain,![X0_int:$int]:  
31.46/5.45	    ($sum(0,X0_int) = X0_int),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_66])).
31.46/5.45	
31.46/5.45	tcf(c_247,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    ($less(X0_int,$sum(1,X1_int))|$less(X1_int,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_66,c_57])).
31.46/5.45	
31.46/5.45	tcf(c_252,plain,![X0_int:$int]:  
31.46/5.45	    ($less(X0_int,$sum(X0_int,1))),
31.46/5.45	    inference(superposition,[status(thm)],[c_57,c_61])).
31.46/5.45	
31.46/5.45	tcf(c_259,plain,![X0_int:$int]:  
31.46/5.45	    ($product(0,X0_int) = 0),
31.46/5.45	    inference(superposition,[status(thm)],[c_55,c_52])).
31.46/5.45	
31.46/5.45	tcf(c_260,plain,![X0_int:$int]:  
31.46/5.45	    ($product(1,X0_int) = X0_int),
31.46/5.45	    inference(superposition,[status(thm)],[c_55,c_53])).
31.46/5.45	
31.46/5.45	tcf(c_270,plain, 
31.46/5.45	    (sK12 = 1|$less(1,sK12)),
31.46/5.45	    inference(superposition,[status(thm)],[c_59,c_107])).
31.46/5.45	
31.46/5.45	tcf(c_277,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,$sum(1,X1_int))|~$less(X1_int,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_66,c_49])).
31.46/5.45	
31.46/5.45	tcf(c_288,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|$less(X0_int,$sum(X2_int,1))|$less(X2_int,X1_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_57,c_60])).
31.46/5.45	
31.46/5.45	tcf(c_289,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(1,X0_int)|$less(0,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_123,c_60])).
31.46/5.45	
31.46/5.45	tcf(c_356,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less($product(X0_int,X1_int),$product(X2_int,X0_int))|$less(X1_int,X2_int)|
31.46/5.45	    $less(X0_int,0)),
31.46/5.45	    inference(superposition,[status(thm)],[c_55,c_118])).
31.46/5.45	
31.46/5.45	tcf(c_358,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(0,$product(X0_int,0))|$less(X1_int,X0_int)|$less(0,0)),
31.46/5.45	    inference(superposition,[status(thm)],[c_52,c_118])).
31.46/5.45	
31.46/5.45	tcf(c_396,plain,![X0_int:$int,X1_int:$int,X2_int:$int,X3_int:$int]:  
31.46/5.45	    (~$less(X0_int,$product(X1_int,X2_int))|$less($sum(X0_int,$product(X1_int,X3_int)),$product(X1_int,$sum(X2_int,X3_int)))),
31.46/5.45	    inference(superposition,[status(thm)],[c_51,c_58])).
31.46/5.45	
31.46/5.45	tcf(c_400,plain,![X0_int:$int,X1_int:$int,X2_int:$int,X3_int:$int]:  
31.46/5.45	    (~$less($product(X0_int,X1_int),X2_int)|$less($product(X0_int,$sum(X1_int,X3_int)),$sum(X2_int,$product(X0_int,X3_int)))),
31.46/5.45	    inference(superposition,[status(thm)],[c_51,c_58])).
31.46/5.45	
31.46/5.45	tcf(c_428,plain,![X0_int:$int,X0_uf_pure1:uf_pure1]:  
31.46/5.45	    (repr1(X0_uf_pure1,X0_int,sK2(X0_uf_pure1,X0_int,X0_int))|same1(X0_uf_pure1,X0_int,X0_int)),
31.46/5.45	    inference(equality_factoring,[status(thm)],[c_71])).
31.46/5.45	
31.46/5.45	tcf(c_467,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|~$less(sK16,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_97,c_101,c_97])).
31.46/5.45	
31.46/5.45	tcf(c_471,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|~$less(sK16,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_467])).
31.46/5.45	
31.46/5.45	tcf(c_473,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|~$less(sK17,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_95,c_101,c_95])).
31.46/5.45	
31.46/5.45	tcf(c_477,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|~$less(sK17,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_473])).
31.46/5.45	
31.46/5.45	tcf(c_479,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (sK12 != X0_int|1 != X1_int|~$less(X0_int,X1_int)|$less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_142])).
31.46/5.45	
31.46/5.45	tcf(c_480,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(X0_int,1)|~$less(sK12,X0_int)|$less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_60])).
31.46/5.45	
31.46/5.45	tcf(c_485,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|~$less(0,X1_int)|$less($product(X0_int,X1_int),$product(X1_int,X1_int))|
31.46/5.45	    $less(X0_int,0)|$less(X1_int,0)|$less(0,0)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_117])).
31.46/5.45	
31.46/5.45	tcf(c_502,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$less(sK16,$product(sK12,sK12))|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_96,c_101,c_96])).
31.46/5.45	
31.46/5.45	tcf(c_506,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|$less(sK16,$product(sK12,sK12))|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_502])).
31.46/5.45	
31.46/5.45	tcf(c_508,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$less(sK17,$product(sK12,sK12))|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_94,c_101,c_94])).
31.46/5.45	
31.46/5.45	tcf(c_512,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|$less(sK17,$product(sK12,sK12))|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_508])).
31.46/5.45	
31.46/5.45	tcf(c_524,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|$less(num1(sK15),1)|same1(sK15,sK16,sK17)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_93,c_101,c_93])).
31.46/5.45	
31.46/5.45	tcf(c_528,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|$less(num1(sK15),1)|same1(sK15,sK16,sK17)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_524])).
31.46/5.45	
31.46/5.45	tcf(c_531,plain, 
31.46/5.45	    ($sum(num1(sK15),0) != size1(sK15)|~same1(sK15,sK16,sK17)|~path1(sK14,sK16,sK17)|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_92,c_101,c_92])).
31.46/5.45	
31.46/5.45	tcf(c_535,plain, 
31.46/5.45	    (size1(sK15) != num1(sK15)|~same1(sK15,sK16,sK17)|~path1(sK14,sK16,sK17)|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_531])).
31.46/5.45	
31.46/5.45	tcf(c_540,plain,![X0_int:$int,X0_graph1:graph1,X1_int:$int]:  
31.46/5.45	    (sK14 != X0_graph1|sK16 != X0_int|sK17 != X1_int|~path1(X0_graph1,X0_int,X1_int)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_153])).
31.46/5.45	
31.46/5.45	tcf(c_1194,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != X0_int|X1_int != X2_int|~$less(X0_int,X2_int)|
31.46/5.45	    $less($product(sK12,sK12),X1_int)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_142])).
31.46/5.45	
31.46/5.45	tcf(c_1238,plain, 
31.46/5.45	    (~$less(sK12,0)|~$less(0,1)|$less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_480])).
31.46/5.45	
31.46/5.45	tcf(c_1301,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(0,$sum(X0_int,1))|~$less(X0_int,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_49])).
31.46/5.45	
31.46/5.45	tcf(c_1318,plain,![X0_int:$int,X1_int:$int,X2_int:$int,X3_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != $product(X0_int,X1_int)|X2_int != X3_int|
31.46/5.45	    ~$less(X3_int,$product(X0_int,X1_int))|$less(X2_int,$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_217])).
31.46/5.45	
31.46/5.45	tcf(c_1334,plain,![X0_int:$int]:  
31.46/5.45	    (1 = X0_int|$less(X0_int,1)|$less(1,X0_int)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_59])).
31.46/5.45	
31.46/5.45	tcf(c_1341,plain,![X0_int:$int]:  
31.46/5.45	    (~path1(sK14,sK17,X0_int)|sK17 = X0_int),
31.46/5.45	    inference(instantiation,[status(thm)],[c_106])).
31.46/5.45	
31.46/5.45	tcf(c_1347,plain,![X0_int:$int,X0_graph1:graph1]:  
31.46/5.45	    (sK14 != X0_graph1|sK16 != X0_int|sK17 != sK17|~path1(X0_graph1,X0_int,sK17)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_540])).
31.46/5.45	
31.46/5.45	tcf(c_1469,plain, 
31.46/5.45	    ($less(0,$sum(1,1))),
31.46/5.45	    inference(superposition,[status(thm)],[c_252,c_289])).
31.46/5.45	
31.46/5.45	tcf(c_1530,plain,![X0_int:$int]:  
31.46/5.45	    ($less(X0_int,1)|$less(0,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_247])).
31.46/5.45	
31.46/5.45	tcf(c_1851,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(X0_int,1)|~$less(0,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_64,c_277])).
31.46/5.45	
31.46/5.45	tcf(c_1860,plain,![X0_int:$int,X0_uf_pure1:uf_pure1]:  
31.46/5.45	    (~repr1(X0_uf_pure1,X0_int,sK2(X0_uf_pure1,X0_int,X0_int))|same1(X0_uf_pure1,X0_int,X0_int)),
31.46/5.45	    inference(superposition,[status(thm)],[c_428,c_70])).
31.46/5.45	
31.46/5.45	tcf(c_2326,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(0,$product(X0_int,0))|$less(X1_int,X0_int)),
31.46/5.45	    inference(smt_theory_normalisation,[status(thm)],[c_358])).
31.46/5.45	
31.46/5.45	tcf(c_2337,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(0,0)|$less(X0_int,1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_260,c_2326])).
31.46/5.45	
31.46/5.45	tcf(c_2407,plain,![X0_int:$int]:  
31.46/5.45	    ($less(0,$sum(X0_int,1))|$less(X0_int,1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_123,c_288])).
31.46/5.45	
31.46/5.45	tcf(c_2802,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less($product(X0_int,X1_int),X0_int)|$less(X0_int,0)|$less(X1_int,1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_260,c_356])).
31.46/5.45	
31.46/5.45	tcf(c_2893,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|~$less(sK17,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_477])).
31.46/5.45	
31.46/5.45	tcf(c_2894,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|~$less(sK16,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_471])).
31.46/5.45	
31.46/5.45	tcf(c_3367,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|$less(sK17,$product(sK12,sK12))|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_512])).
31.46/5.45	
31.46/5.45	tcf(c_3368,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|$less(sK16,$product(sK12,sK12))|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_506])).
31.46/5.45	
31.46/5.45	tcf(c_3506,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less($product(X0_int,X1_int),$product(X0_int,$sum(X2_int,X1_int)))|
31.46/5.45	    ~$less($product(X0_int,X2_int),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_400,c_277])).
31.46/5.45	
31.46/5.45	tcf(c_3556,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    (~$less(0,$product(X0_int,X1_int))|$less($product(X0_int,X2_int),$product(X0_int,$sum(X1_int,X2_int)))),
31.46/5.45	    inference(superposition,[status(thm)],[c_243,c_396])).
31.46/5.45	
31.46/5.45	tcf(c_4255,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|$less(num1(sK15),1)|same1(sK15,sK16,sK17)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_528])).
31.46/5.45	
31.46/5.45	tcf(c_4587,plain, 
31.46/5.45	    ($product(sK12,sK12) != size1(sK15)|~same1(sK15,sK16,sK17)|~path1(sK14,sK16,sK17)|
31.46/5.45	    $less(num1(sK15),1)),
31.46/5.45	    inference(superposition,[status(thm)],[c_103,c_535])).
31.46/5.45	
31.46/5.45	tcf(c_4974,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    (~$less(X0_int,X1_int)|~$less(0,X1_int)|$less($product(X0_int,X1_int),$product(X1_int,X1_int))|
31.46/5.45	    $less(X0_int,0)|$less(X1_int,0)),
31.46/5.45	    inference(smt_theory_normalisation,[status(thm)],[c_485])).
31.46/5.45	
31.46/5.45	tcf(c_4983,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(0,X0_int)|$less(0,$product(X0_int,X0_int))|$less(X0_int,0)|
31.46/5.45	    $less(0,0)),
31.46/5.45	    inference(superposition,[status(thm)],[c_259,c_4974])).
31.46/5.45	
31.46/5.45	tcf(c_4984,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(1,X0_int)|~$less(0,X0_int)|$less(X0_int,$product(X0_int,X0_int))|
31.46/5.45	    $less(X0_int,0)|$less(1,0)),
31.46/5.45	    inference(superposition,[status(thm)],[c_260,c_4974])).
31.46/5.45	
31.46/5.45	tcf(c_6322,plain, 
31.46/5.45	    ($less(sK12,1)|$less(0,sK12)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1530])).
31.46/5.45	
31.46/5.45	tcf(c_6324,plain, 
31.46/5.45	    (~$less(0,0)|$less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_2337])).
31.46/5.45	
31.46/5.45	tcf(c_6707,plain, 
31.46/5.45	    (~$less($product(sK12,sK12),sK12)|$less(sK12,1)|$less(sK12,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_2802])).
31.46/5.45	
31.46/5.45	tcf(c_6866,plain,![X0_int:$int,X0_uf_pure1:uf_pure1]:  
31.46/5.45	    (same1(X0_uf_pure1,X0_int,X0_int)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_1860,c_428,c_1860])).
31.46/5.45	
31.46/5.45	tcf(c_7528,plain, 
31.46/5.45	    (~$less(0,sK12)|$less(0,$product(sK12,sK12))|$less(sK12,0)|$less(0,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_4983])).
31.46/5.45	
31.46/5.45	tcf(c_7565,plain, 
31.46/5.45	    (~$less(0,$product(sK12,sK12))|$less($product(sK12,sK12),$product(sK12,$sum(sK12,sK12)))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_3556])).
31.46/5.45	
31.46/5.45	tcf(c_8086,plain, 
31.46/5.45	    (~$less($product(sK12,sK12),$product(sK12,$sum(sK12,sK12)))|~$less($product(sK12,sK12),1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_3506])).
31.46/5.45	
31.46/5.45	tcf(c_8179,plain, 
31.46/5.45	    (~$less(sK16,0)|$less(num1(sK15),1)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_2894,c_101,c_2894])).
31.46/5.45	
31.46/5.45	tcf(c_9225,plain,![X0_int:$int]:  
31.46/5.45	    ($less(X0_int,$product(X0_int,X0_int))|~$less(1,X0_int)|$less(1,0)),
31.46/5.45	    inference(global_subsumption_just,
31.46/5.45	              [status(thm)],
31.46/5.45	              [c_4984,c_289,c_1301,c_2407,c_1851,c_4984])).
31.46/5.45	
31.46/5.45	tcf(c_9226,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(1,X0_int)|$less(X0_int,$product(X0_int,X0_int))|$less(1,0)),
31.46/5.45	    inference(renaming,[status(thm)],[c_9225])).
31.46/5.45	
31.46/5.45	tcf(c_9227,plain, 
31.46/5.45	    (~$less(1,sK12)|$less(sK12,$product(sK12,sK12))|$less(1,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_9226])).
31.46/5.45	
31.46/5.45	tcf(c_21002,plain, 
31.46/5.45	    (1 = $product(sK12,sK12)|$less($product(sK12,sK12),1)|$less(1,$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1334])).
31.46/5.45	
31.46/5.45	tcf(c_21016,plain, 
31.46/5.45	    (~$less(0,$sum(1,1))|~$less(1,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1301])).
31.46/5.45	
31.46/5.45	tcf(c_21032,plain, 
31.46/5.45	    (~path1(sK14,sK17,sK17)|sK17 = sK17),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1341])).
31.46/5.45	
31.46/5.45	tcf(c_21033,plain, 
31.46/5.45	    (path1(sK14,sK17,sK17)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_89])).
31.46/5.45	
31.46/5.45	tcf(c_21071,plain,![X0_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != num1(sK15)|X0_int != 1|~$less(num1(sK15),1)|
31.46/5.45	    $less($product(sK12,sK12),X0_int)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1194])).
31.46/5.45	
31.46/5.45	tcf(c_21072,plain, 
31.46/5.45	    ($product(sK12,sK12) != num1(sK15)|sK12 != 1|~$less(num1(sK15),1)|
31.46/5.45	    $less($product(sK12,sK12),sK12)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_21071])).
31.46/5.45	
31.46/5.45	tcf(c_21201,plain,![X0_graph1:graph1]:  
31.46/5.45	    (sK14 != X0_graph1|sK16 != sK17|sK17 != sK17|~path1(X0_graph1,sK17,sK17)|
31.46/5.45	    path1(sK14,sK16,sK17)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1347])).
31.46/5.45	
31.46/5.45	tcf(c_21203,plain, 
31.46/5.45	    (sK14 != sK14|sK16 != sK17|sK17 != sK17|~path1(sK14,sK17,sK17)|path1(sK14,sK16,sK17)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_21201])).
31.46/5.45	
31.46/5.45	tcf(c_21288,plain,![X0_int:$int]:  
31.46/5.45	    (~$less(X0_int,$product(sK12,sK12))|~$less(sK17,$product(sK12,sK12))|
31.46/5.45	    ~same1(sK15,X0_int,sK17)|X0_int = sK17|$less(X0_int,0)|$less(sK17,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_98])).
31.46/5.45	
31.46/5.45	tcf(c_21395,plain,![X0_int:$int]:  
31.46/5.45	    (sK12 != X0_int|1 != $product(sK12,sK12)|~$less(X0_int,$product(sK12,sK12))|
31.46/5.45	    $less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_479])).
31.46/5.45	
31.46/5.45	tcf(c_21398,plain, 
31.46/5.45	    (sK12 != sK12|1 != $product(sK12,sK12)|~$less(sK12,$product(sK12,sK12))|
31.46/5.45	    $less(sK12,1)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_21395])).
31.46/5.45	
31.46/5.45	tcf(c_21412,plain,![X0_int:$int,X1_int:$int,X2_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != $product(X0_int,X1_int)|$product(sK12,sK12) != X2_int|
31.46/5.45	    ~$less(X2_int,$product(X0_int,X1_int))|$less($product(sK12,sK12),$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_1318])).
31.46/5.45	
31.46/5.45	tcf(c_21484,plain, 
31.46/5.45	    (~$less(1,$product(sK12,sK12))|~$less(num1(sK15),1)|$less(num1(sK15),$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_218])).
31.46/5.45	
31.46/5.45	tcf(c_24079,plain,![X0_int:$int,X1_int:$int]:  
31.46/5.45	    ($product(sK12,sK12) != $product(X0_int,X1_int)|$product(sK12,sK12) != num1(sK15)|
31.46/5.45	    ~$less(num1(sK15),$product(X0_int,X1_int))|$less($product(sK12,sK12),$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_21412])).
31.46/5.45	
31.46/5.45	tcf(c_24080,plain, 
31.46/5.45	    ($product(sK12,sK12) != $product(sK12,sK12)|$product(sK12,sK12) != num1(sK15)|
31.46/5.45	    ~$less(num1(sK15),$product(sK12,sK12))|$less($product(sK12,sK12),$product(sK12,sK12))),
31.46/5.45	    inference(instantiation,[status(thm)],[c_24079])).
31.46/5.45	
31.46/5.45	tcf(c_25642,plain, 
31.46/5.45	    (~$less(sK16,$product(sK12,sK12))|~$less(sK17,$product(sK12,sK12))|
31.46/5.45	    ~same1(sK15,sK16,sK17)|sK16 = sK17|$less(sK16,0)|$less(sK17,0)),
31.46/5.45	    inference(instantiation,[status(thm)],[c_21288])).
31.46/5.45	
31.46/5.45	tcf(c_26670,plain,![X0_int:$int,X0_uf_pure1:uf_pure1]:  
31.46/5.45	    (repr1(X0_uf_pure1,X0_int,sK2(X0_uf_pure1,X0_int,X0_int))|same1(X0_uf_pure1,X0_int,X0_int)),
31.46/5.45	    inference(equality_factoring,[status(thm)],[c_71])).
31.46/5.45	
31.46/5.45	tcf(c_26762,plain, 
31.46/5.45	    (path1(sK14,sK16,sK17)),
31.46/5.45	    inference(global_subsumption_just,
31.46/5.45	              [status(thm)],
31.46/5.45	              [c_93,c_123,c_155,c_161,c_107,c_164,c_103,c_101,c_177,c_200,
31.46/5.45	               c_270,c_1238,c_1469,c_6322,c_6324,c_6707,c_7528,c_7565,
31.46/5.45	               c_8086,c_8179,c_2893,c_3368,c_3367,c_9227,c_4255,c_21002,
31.46/5.45	               c_21016,c_21032,c_21033,c_21072,c_21203,c_21398,c_21484,
31.46/5.45	               c_24080,c_25642])).
31.46/5.45	
31.46/5.45	tcf(c_26769,plain, 
31.46/5.45	    (sK16 = sK17),
31.46/5.45	    inference(superposition,[status(thm)],[c_26762,c_106])).
31.46/5.45	
31.46/5.45	tcf(c_26770,plain, 
31.46/5.45	    (~same1(sK15,sK16,sK17)),
31.46/5.45	    inference(global_subsumption_just,
31.46/5.45	              [status(thm)],
31.46/5.45	              [c_92,c_123,c_155,c_161,c_107,c_164,c_103,c_101,c_177,c_200,
31.46/5.45	               c_270,c_1238,c_1469,c_6322,c_6324,c_6707,c_7528,c_7565,
31.46/5.45	               c_8086,c_2894,c_2893,c_3368,c_3367,c_9227,c_4255,c_4587,
31.46/5.45	               c_21002,c_21016,c_21032,c_21033,c_21072,c_21203,c_21398,
31.46/5.45	               c_21484,c_24080,c_25642])).
31.46/5.45	
31.46/5.45	tcf(c_26808,plain,![X0_int:$int,X0_uf_pure1:uf_pure1]:  
31.46/5.45	    (same1(X0_uf_pure1,X0_int,X0_int)),
31.46/5.45	    inference(global_subsumption_just,[status(thm)],[c_26670,c_6866])).
31.46/5.45	
31.46/5.45	tcf(c_27292,plain, 
31.46/5.45	    (~same1(sK15,sK16,sK16)),
31.46/5.45	    inference(superposition,[status(thm)],[c_26769,c_26770])).
31.46/5.45	
31.46/5.45	tcf(c_46201,plain, 
31.46/5.45	    ($false),
31.46/5.45	    inference(superposition,[status(thm)],[c_26808,c_27292])).
31.46/5.45	
31.46/5.45	
31.46/5.45	% % SZS output end CNFRefutation for theBenchmark.p
31.46/5.45	
31.46/5.45	
31.46/5.49	EOF